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Category: A Level Maths Mastery
- Mastering A-Level Calculus
- A Level Mechanics Made Simple
Category: A Level Maths Mechanics
Category: A Level Maths Mechanics Archive
Category: A Level Maths Pure
Category: A Level Maths Pure Archive
Category: A Level Maths Revision Tips & Exam Strategies
Category: A Level Maths Statistics
Category: GCSE Maths Mastery
- Mastering GCSE Algebra
- Top Tips for GCSE Geometry Success
Category: Maths
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How to Set Realistic Study Goals
What Are Effective Note-Taking Strategies for Maths?
Working with Angles in a Polygon
How Do I Deal With Exam Anxiety?
How To Calculate Area and Volume of Shapes?
How to Use Past Papers Effectively
How Do I Draw and Interpret Displacement-Time Graphs?
What Is Pythagoras’ Theorem, And How Can You Use It?
What is Spaced Repetition and How Does It Help?
What is Newton’s Second Law (F = ma)?
How Do I Calculate Percentages and Ratios?
How Do I Make a Study Timetable?
What Are Simultaneous Equations and How to Solve Them?
How Do I Find Stationary Points in a Function?
How to Factorise Expressions Quickly
How to differentiate exponential functions?
How to Calculate Work, Energy, and Power
What are stationary points and how to classify them?
How Do You Construct a Probability Tree Diagram?
Solving Quadratic Equations
How to Solve Kinematics Problems Using SUVAT
How to use logarithmic differentiation?
How do you find the equation of a tangent line?
How Do You Integrate x² or e^x?
What are Independent and Mutually Exclusive Events?
What is Differentiation and When Is It Used?
What is the Multiplication Rule for Probability?
What is implicit differentiation?
What is the chain rule and when is it used?
What is a Resultant Force?
What is the Addition Rule for Probability?
What is Conditional Probability?
Breaking up Forces into Components
What is Tension in a String?
What is Probability and How Is It Represented?
How do you differentiate ln(x)?
How to Draw and Use Free-Body Diagrams
What is Equilibrium in Mechanics?
What are Contact and Non-Contact Forces?
What is Newton’s Second Law (F = ma)?
An Introduction to Plate Tectonics
The Structure of the Earth Explained
What Causes Earthquakes and Volcanoes?
Prime Numbers: What You Really Need to Know
Understanding Plate Tectonics
The Hidden Beauty of Pure Maths
How to Answer a Mass Movement Question
How to Convert Between Decimals and Fractions
Addressing Lightbulb Efficiency For
The Science of Free Fall
What is a drought?
Mastering Algebra for A Level Success
The Simple Way to Find Percentages
Calculating Speed, Distance and Time
Weathering and Ice Influence Glaciated Upland Landscapes
How to Simplify Fractions
Top Tips for Quick Mental Maths
Understanding Plate Tectonics Made Simple
Untangling Surds Made a Breeze
Understanding Newton’s Laws the Easy Way
How are fold mountains formed
Introduction to Using BODMAS/BIDMAS in Algebra
The Top 10 Things You Must Know About Trig
Why coastal erosion rates change over time.
Solving Equations With Fractional Powers, Simple Steps
The Mathematics of Newton’s Laws
A Simple Process for BODMAS/BIDMAS
Solving a Triangle Problem that isn’t a Right Angle
The Impact of Geology on the Beautiful Landscapes of the UK
How to Tackle Exponent Queries in Three Easy Steps
Th Grid Method for Multiplication
Increasing the Energy of a Rubber Ball
How to Tackle Parabola Questions in Three Easy Steps
Calculating the HCF and LCM of 2 Numbers
How a kettle heats water with energy transfer
What It Means to Find Intersection Points of Two Parabolas
Investigation of the Electrostatic Energy Store
How to Approach Elementary Probability Problems
Being Informed about Kinetic Energy in Real Life
Working With a Quadratic in Completed Square Form
Effective Use of Your Calculator for Success in GCSE
Figuring Out How Many Machines You Need to Shorten the Production Time
How to Deduce How Long Mandy’s Dog Food Will Last
How To Approach a “Swimming Lengths” Question
Spotting the Steps to Find the Number of Girls
Integrating Rational Functions
Calculating the Percentage of Green Counters
Calculating the Area of a Triangle from 3 Side Lengths
Unlocking Distance Problems
Mastering Small-x Expansions
Making the Most of Your Boiled Water
Finding The Cost of Pens and Pencils
Understanding and Measuring Correlation
The Monthly Car Payment Calculation
Mastering Concave Up and Concave Down
Ava Buys Chocolate Bars
Getting the Right Change for Sausage Rolls
Mastering Powers of Two: A Simple Guide to Indices
How to Make May Half Term Count for Year 13 Mathematicians
Making the Most of Easter Revision for Year 13 Mathematicians
February Half Term: Your Secret Weapon for Maths Success
The Power of Structured Revision Over the December Break
The Power of Structured Revision for Year 13 Mathematicians
Boys and Girls Walking to the Club
The Beans and Jam Problem
How to Find 234% of 150
Approximating Centimetres in Yards
Solving Real-Life Money Problems: Finding the Cost of a Chocolate Bar
Finding the Number of Boys at a Rugby Match
Navigating Inverse Proportion with Square Roots in Word Problems
Understanding Direct Proportion and Square Roots in Word Problems
Converting Decimals to Fractions in Algebraic Expressions
Demystifying Algebra: How to Tackle Complex Expressions
Unlocking the Secrets of Algebraic Simplification
Mastering Algebraic Simplification: Tips and Common Pitfalls
Decoding Water Balance: The Key to Understanding Hydrological Systems
Mesons: The Unsung Mediators of the Subatomic World
The Water Cycle: Nature’s Endless Journey of Water
Unravelling the Mysteries of Baryons: The Building Blocks of Matter
Antiparticles and Photons: Exploring the Dual Nature of Matter and Light
What Happens When a Nucleus Has Too Many Protons? Understanding Beta-Plus Decay
How to Find the Area of Shaded Regions in Composite Shapes
Tackling Composite Area Problems with Confidence
Strategies for Finding the Area of Composite Shapes
Pie Charts in Practice: Analysing Time Spent in the Garden
Pie Charts and Proportions: Solving Favourite Flavour Problems
Pie Chart Mastery: Analysing Student Travel Data
Mastering Area Under a Curve
How to Approach Definite Integrals with Unknown Constants
Integrating Composite Functions: A Deep Dive into Fractional Indices
Neutrinos: The Ghost Particles of the Universe
Outliers: Understanding the Odd Ones Out in Data
Linear Coding: Simplifying Data for Statistical Analysis
The Standard Deviation: A Key Measure of Data Spread
The Variance: Understanding the Spread of Data
Interquartile Range: Measuring the Spread of Data
Understanding Measures of Central Tendency: The Heart of Data Analysis
Calculating the Minimum Frequency a Photon Needs to Produce a Neutron
Mastering Pie Chart Questions
Why Might a Collision Between an Electron and Positron Not Produce Any Particles?
Calculating the Wavelength of Photons from Proton-Antiproton Annihilation
Reverse Percentage Problems: Finding the Original Amount
Chaining Percentage Increases: How to Find the Overall Percentage Change
Comparing Pass Rates: How to Find Which Course Performed Better
Comparing Test Scores: How to Judge Real Improvement
How to Tackle Prize Sharing Problems: Fractions, Percentages, and Careful Calculation
Solving Multi-Step Percentage Elimination Problems in Competitions
How to Solve Percentage Reduction Problems
Mastering Percentage Word Problems
How to Tackle Percentage Reduction Problems
Beta-Plus Decay: The Subatomic Transformation of Matter
Annihilation: The Dance of Matter and Antimatter
Overcoming the Hurdles of Advanced Physics Study
Calculations Involving Pair Production
Pair Production: Creating Matter from Energy
Antiparticles: Unlocking the Mirror World of Physics
Demystifying the Capture-Recapture Equation
Key Assumptions Underpinning the Capture-Recapture
Understanding the Capture-Recapture Method
Exploring Closed Systems in Geography: Unlocking the Secrets of Earth’s Cycles
Beta-Minus Decay: The Quantum Alchemy of the Atomic Nucleus
The Unique Properties of Quarks: Unveiling the Heart of Matter
Quarks: The Fundamental Building Blocks of Matter
Hadrons vs Leptons: Two Key Differences in Their Properties
Conservation of Quantum Numbers: The Rules Governing the Quantum World
Understanding the Classification of Particles in Physics
Leptons: The Lightweight Particles Shaping Our Universe
A Step-by-Step Guide to Solving Capture-Recapture Questions
Hydraulic Action: The Hidden Force Behind Erosion
Changing Tides: Why Rates of Coastal Erosion Fluctuate Over Time
How Geology Has Shaped the UK’s Iconic Landscapes
Alpha Decay: Unveiling the Secrets of Radioactive Transformation
Pair Production: Creating Matter from Light
Antiparticles: The Mirror Image of Matter
Mesons: The Mediators of the Strong Force
Understanding Friction in Mechanics
What is a Photon? Exploring the Quantum Particle of Light
Understanding Normal Reaction in Mechanics
Antiparticles and Photons
Understanding Modelling Assumptions in Mechanics
Hadrons: The Building Blocks of Atomic Nuclei
Stable and Unstable Nuclei
Understanding Tilting in Moments: A Conceptual Guide
Light and Inextensible
Non-Uniform
Uniform
Landslides: Understanding a Key Type of Mass Movement
Resultant Moments
The Strong Nuclear Force: The Glue of the Atomic Nucleus
Reversing Depreciation
Understanding Moments
Understanding Compound Interest
Dividing Mixed Numbers by Whole Numbers
Adding Mixed Numbers
Baryons: The Cornerstones of Matter
Navigating Indices and Fractions
Demystifying Decimal Division
Mastering Decimal Multiplication
Mastering Best Value Problems: Making Smart Choices with Maths
Understanding Open Systems in Geography: A Key to Grasping Earth’s Dynamic Processes
Unravelling the Mystery of Bounds in Real-Life Measurements
Decoding Histograms: Solving Frequency Density Problems with Confidence
Solving Reverse Percentage Problems: A Step-by-Step Guide
Stable and Unstable Nuclei: Understanding the Heart of the Atom
Navigating Compound Interest: A Real-World Problem Solved
Understanding Air Resistance in Mechanics
Step-by-Step Guide to Solving Percentage Increase Problems
Mastering Algebraic Equations: A Key to Mathematical Success
Cracking Worded Problems: Strategies for Real-Life Maths Success
Fractions Made Simple: Your Guide to Everyday Maths Success
Unlocking the Power of Probability in Everyday Life
How to Integrate $x\cos{x}$
Exploring Specific Charge: A Closer Look at Calcium Ions
Understanding Specific Charge: A Fundamental Concept in Nuclear Physics
Mastering Ratio Questions: How to Share Money Fairly
Mastering the Differentiation of $x\cos{x}$
Solving Ratio Problems: What Percentage of Buttons Are Orange?
Unlocking the Power of Force Diagrams in Mechanics
Understanding Venn Diagrams and Probability
Understanding Mass Numbers and Atomic Numbers in Chemistry
Why High Blood Pressure Increases the Risk of Developing Cardiovascular Disease (CVD)
Unlocking the Past: The Science Behind Carbon-14 Dating
Understanding Isotopes and Specific Charge: A Deep Dive into Atomic Structure
Mastering Set Notation: The Language of Modern Mathematics
Understanding Independence in Probability: A Key Concept for Exam Success
Exploring the World Through Patterns and Principles
Understanding International Income Flows
Understanding Atmospheric Circulation: The Engine of Earth’s Climate
The Importance of Mathematical Modelling in Advanced Studies
The Role of Vectors in Modern Mathematics
The Beauty and Logic of Proof in Advanced Mathematics
Understanding Relative Atomic Mass
Mastering Calculus: The Art of Change and Motion
Unlocking Nature’s Secrets: The Power of Patterns and Reasoning
The Universal Code: How Patterns and Logic Reveal Nature’s Secrets
Demystifying Iterative Methods: A Guide for Students
Patterns in Nature: Understanding the World Through Logic and Curiosity
The Language of the Universe: How Patterns and Logic Shape Our World
Unveiling Nature’s Blueprint: The Power of Patterns and Logic
The Hidden Order: How Patterns Shape Our Understanding of the World
Understanding the Tangent Identity
Decoding the Universe: How Patterns Shape Our World
Patterns, Predictions, and the Power of Curiosity
The Art of Problem Solving: Exploring the Patterns of Nature
Mastering Partial Fractions: A Step-by-Step Guide
Unlocking the Secrets of the Universe: The Language of Nature
Understanding the Nuclear Model of the Atom: A Key Concept in Modern Physics
Understanding the Nuclide Number: The Key to Identifying Atoms
Mastering Substitution: A Key Skill for Success in Maths
Sectors vs Segments: Understanding the Parts of a Circle
Mastering Tangents: How to Find the Equation of a Tangent to a Circle
Understanding the Equations of a Circle
The Growth of Socialism in Whitechapel: Two Key Features
The Theories Behind the Atom According to John Dalton
Adenosine Triphosphate (ATP): The Energy Currency of Life
Peering Inside an Atom: Unravelling the Mysteries of the Building Blocks of Matter
Mastering Absolute Value Equations: A Step-by-Step Guide
Exploring Transformations: Absolute Value and Reflections in Linear Functions
Understanding Actual Growth: The Real Measure of Economic Progress
Unveiling the Power of Nature: Understanding Geophysical Hazards and Their Impact
Unlocking the Mysteries of Atomic Structure: The Building Blocks of Matter
How to Rearrange a Fractional Formula
Mastering the Art of Rearranging Formulae: Essential Skills for Success
Understanding the Modulus Function: A Key Concept in Mathematics
Demystifying Completing the Square in Quadratic Equations
Mastering Real-Life Bills and Invoices in Maths
Avoiding Common Mistakes in Word Problems
Breaking Down a Classic Number Problem
Unlocking Success in Your GCSE Exams
Everything You Need to Know About GCSE Results Day 2025
Mastering Series Expansions: Expanding $(5 + 4x)^{-2}$ in Ascending Powers of $x$
Binomial Expansion of Surds: A Step-by-Step Example
Demystifying Sigma Notation: A Powerful Tool for Sequences
Understanding Recurrence Relations in Mathematics
Solving Geometric Series Problems: A Step-by-Step Approach
Understanding the Sum of a Geometric Series: A Step-by-Step Proof
Understanding Geometric Sequences: Key Formulas and Applications
Solving a Challenging Arithmetic Series Problem: A Step-by-Step Guide
Numbers Unlocked: Comparing Learning Approaches for Success
Numbers Made Simple: Empowering Students Through Personalised Support
Building Confidence with Numbers: A Personal Approach to Learning
Unlocking Confidence: The Power of Personalised Learning in Numbers
Proving the Sum Formula for an Arithmetic Series
Arithmetic Sequences: Understanding the Basics and Key Formulas
Sequences and Series: What’s the Difference?
Understanding Sequences: A Key Concept in Mathematics
Solving Percentage and Fraction Problems: Counting Children in the Cinema
How to Calculate Discounts: A Step-by-Step Guide for Car Purchases
How to Calculate the Total Cost of a Phone Call: A Practical Example
Understanding Discounts: How to Calculate Savings on a Car Purchase
Solving Word Problems: Tracking Changes in a Bag of Coins
Finding the Price per Litre: A Simple Guide to Unit Cost Problems
Solving Ratio Problems: Finding the Maximum Number of Red Pens
How to Find the Cost per Litre: A Step-by-Step Guide
Building Confidence in Advanced Mathematics
Mastering the Art of Mathematical Thinking
Unlocking Mathematical Success: Strategies for Advanced Study
Solving Compound Interest Problems with Confidence
How to Find the nth Term of an Arithmetic Sequence
Mastering Expansion and Simplification in Algebra
How to Tackle Real-Life Percentage and Comparison Questions
How to Tackle Real-Life Money Problems in Exams
Your Ultimate Guide to Succeeding in Paper 3 Mathematics Exams
Mastering the Quotient Rule: A Step-by-Step Guide to Differentiating Complex Functions
Proving $(n+1)^3 - n^3$ is Odd for All $n \in \mathbb{N}$ : A Step-by-Step Guide
Differentiating Sine from First Principles: A Step-by-Step Guide
Geometric Sequences: Solving for Convergence and the Sum to Infinity
Mastering Logarithms: Expressing in Terms of a and b
Vectors and Magnitudes: Finding the Smallest Value
Exploring the Sum to Infinity of a Geometric Series
Unlocking Integration: Simplifying Before You Solve
Recipe Ratios: How to Scale Up Without Stress
Baking in Proportion: Scaling Up Fred’s Biscuit Recipe
Scaling Up Recipes: The Flapjack Proportion Challenge
Mastering Proportion Ingredients Questions: Recipe for Success
Decoding Algebraic Equations: A Key to Mathematical Success
The Importance of Mathematical Literacy in Modern Education
Unlocking Potential in Mathematics
Mastering Fractions: A Cornerstone of Mathematical Understanding
The Importance of Geometry in Everyday Life
Unlocking the World of Algebra: A Key to Mathematical Understanding
The Importance of Probability in Everyday Life
The Power of Statistics in Everyday Decision Making
The Significance of Geometry in Everyday Life
The Role of Algebra in Problem Solving
Understanding the Importance of Ratios in Everyday Life
Exploring the Hidden Patterns of the Universe
The Power of Symmetry in Nature
Unlocking the Secrets of Waves: From Sound to Light
The Language of the Universe: How Numbers Explain Nature
Approaching Large Data Set Questions with Confidence
Understanding the Binomial Expansion for Positive Integer Powers
How to Solve the Integral of $x \sin x$ Step by Step
Mastering Integration by Parts: A Key Calculus Technique
The Power of Estimation: Making Maths Quicker and Easier
Understanding Error Intervals: Describing Ranges of Possible Values
Drawing Pie Charts: How to Calculate Angles for Each Sector
Unlocking Data: A Guide to Stem and Leaf Diagrams
Understanding the Range: Measuring Spread in Data
Understanding the Median: Finding the Middle Value in Data
Mastering the Mode: Finding the Most Frequent Value in Data
Mastering the Mean: Your Guide to Calculating Averages
Probability Made Simple: A Student’s Guide to Understanding Chance
Unlocking Algebra: How to Write an Expression with Confidence
Understanding Area: A Practical Guide for Students
Perfecting Perimeter: A Student’s Guide to Measuring Around Shapes
Simplifying Algebra: A Guide to Collecting Like Terms
Mastering Reverse Percentages – A Simple Guide for Success
Demystifying Parametric Equations – From Parameters to Cartesian Form
Conquering Fractions – A Simple Guide for Foundation Students
Mastering Differentiation Rules – How to Avoid Confusion in Exam Questions
Integration by Substitution vs Integration by Parts – How to Tell Them Apart in Exam Questions
Never Mix Up Arithmetic and Geometric Sequences Again – A Clear Guide for Exam Success
Essential Last-Minute Advice for Edexcel Pure Paper 2
Final Exam Tips for Success on Paper 3 – Foundation & Higher
Cracking the Code: Mastering the Order of Operations in Maths
Demystifying Powers and Roots: A Clear Guide for Students
Navigating Negative Numbers: A Student’s Guide to Success
Place Value: Understanding the Building Blocks of Numbers
Mastering Metric Conversion: A Complete Study Guide
Solving Journey Time Problems: A Step-by-Step Approach
Rounding Numbers with Confidence: A Complete Guide for Students
Mastering Time in Maths: Tips, Examples, and Common Pitfalls
Converting Currencies: A Practical Maths Problem
Understanding Negative Numbers: A Look at Temperature Problems
Demystifying Alternate Angles: A Foundation Level Guide
Mastering Timetables: A Step-by-Step Guide to Solving Train Problems
Understanding Parallel Lines: A Foundation Level Guide
Unlocking Binomial Expansion with Pascal’s Triangle
The Power of Proof by Contradiction in Mathematics
Getting to Grips with Coordinates: A Student’s Guide to Success
Tackling Challenging Prism Volume Problems: Triangular and Rectangular Cross Sections
Cracking Complex Speed, Distance, and Time Problems: A Step-by-Step Approach
Mastering Challenging Indices Problems: A Step-by-Step Guide
Unpacking Integration by Parts: Where Does the Formula Come From?
Approximating Areas: The Trapezium Rule Explained
The Power and Pitfalls of Iteration: Understanding the Rearrangement Method
Iteration Explained: Step-by-Step Solutions for Tricky Equations
Demystifying Iteration: A Powerful Tool for Solving Equations
Mastering Quadratic Equations: Unlocking the Secrets of Parabolas
How Much Do 4 Pencils Cost?
Where Are the Sunglasses Cheaper? Avoiding Common Exchange Rate Mistakes
How Many Crates Can Nick’s Van Hold? A Step-by-Step Guide to Maximising Marks
Proving No Real Solutions Exist for a Trigonometric Equation
How to Prove Trigonometric Identities: A Step-by-Step Example
How to Find the Area of a Sector When Given Its Perimeter
Solving Arc Length and Sector Area Problems in Circle Geometry
Edexcel Maths: Analysing Pure Paper 1 (4th June 2025) and Predicting What’s Next
Real-World Maths: Converting Holiday Bills from Dollars to Pounds
Solving Multi-Buy Money Questions for GCSE Foundation Maths: A Step-by-Step Table Guide
Stay Sharp: Essential Last-Minute Tips for This Afternoon’s Maths Exam
Mastering Quadratic Equations: How to Show Your Working for Top Marks
Unlocking the Power of Simultaneous Equations: How to Answer for Maximum Marks
Your Final Countdown: How to Prepare for the Last Maths Exam
Calm Your Nerves: Last-Minute Tips for Today’s Big Maths Exam
Currency Conversion: Avoiding Common Pitfalls
Solving Word Problems: Cinema Tickets and Algebra
Getting Unit Costs Right: Avoiding Common Mistakes
Avoiding Common Mistakes: Calculating Maximum Loads
Mastering Worded Mean Questions for Foundation Maths
Mastering Order of Operations: A Key Maths Skill
Understanding Utility Bills: A Practical Problem
Tackling Real-Life Maths: Calculating Excess Luggage Fees
Mastering Distance Tables: A Classic GCSE Problem
The World’s Richest Mathematicians: Who Are They?
The Role of Mathematics in the Work of an Actuary
The Role of Advanced Mathematics in Modern Banking
Real-World Applications of Advanced Mathematics
Mastering Complex Currency Conversions: A Challenging Scenario
Making Smart Choices: Understanding Best Buys in Everyday Life
Counting on Currency: Understanding Money in Everyday Maths
Tackling Challenging Ratio Problems: A Step-by-Step Guide
Mastering the Difference of Two Squares in Quadratic Fractions
Conquering Percentages: A Guide for Foundation Students
Tackling Fractions: Overcoming a Common Hurdle in Foundation Maths
Decoding Grade Boundaries for the Higher Maths Paper
Understanding Grade Boundaries for the Foundation Maths Paper
Last-Minute Tips for Success in Your Upcoming Maths Exam
Why the Early Questions Hold the Key to Exam Success
What to Expect from the OCR MEI Comprehension Paper
Comparing Edexcel and OCR MEI: Which Advanced Maths Exam Board Suits You?
Which Exam Board Do Most Students Choose for Advanced Maths?
Key Areas to Prioritise for Edexcel Pure Papers 1 and 2
Overcoming Common Pitfalls with SOH CAH TOA in Trigonometry
Demystifying SOH CAH TOA: A Guide to Right-Angled Triangle Trigonometry
Avoiding Common Mistakes with Pythagoras’ Theorem
Sine or Cosine Rule? How to Decide Which to Use in Trigonometry
Circle Theorems Made Simple: Key Rules and Examples
Calculating the Net Profit from a School Production
Understanding the Content Differences Between Foundation and Higher Tiers
Calculating the Cost per Person for a Group Holiday
Working Out the Profit from a School Fundraiser Event
Calculating the Total Cost of Team Uniforms for 15 Players
Calculating the Cost per Cupcake for a Charity Bake Sale
Calculating the Total Cost of a School Trip for 25 Students
Solving a Mixed Four-Operations Problem Step by Step
Unlocking Insights with Two-Way Tables
Mastering Angle Relationships: Alternate, Corresponding and Co-Interior Angles
When and How to Use the Normal Approximation for a Binomial Distribution
Choosing Your Exam Board: Key Differences to Consider
Crunch Time: Maximising Your Revision in the Final Days Before the Exams
Perfect Pizza Portions
Mixing Paints in the Perfect Proportion
Mastering Ratio Problems in Foundation Maths
Conquering Percentage Change in Foundation Maths
Mastering Percentage Increase in Foundation Maths
Steering Clear of Slip-Ups When Finding Constants from Point-Line Conditions
Dodging the Pitfalls: Common Errors in Differentiating Trigonometric Functions
Unit Rates and Fixed Charges: Cracking Electricity Bill Questions
Mastering Differentiation of Negative and Fractional Powers
Getting Your Change Right: Tackling Badge-Buying Calculations
Meter Readings and Missing Pounds: Mastering Gas Consumption Calculations
Mastering Money Calculations: Ensuring Accurate Change in Everyday Transactions
Avoiding Simple Subtraction Slip-Ups in Length Problems
Mastering Calculator Techniques for Square Roots and Addition
Avoiding Order of Operations Pitfalls
Mastering Simple Division Problems
Getting Rounding and Bounds Right in Number Questions
A Guide to Solving Ratio Problems Efficiently
Unlocking Prime Factorisation and HCF/LCM Techniques
Mastering Standard Form for Number Crunching
Essential Techniques for Area and Perimeter Questions
Unlocking Right-Angle Triangle Problems with Pythagoras and Trigonometry
Mastering Percentage Change for Exam Success
Conquering Fractions: Top Tips for Exam Success
Mastering Projectile Motion in Mechanics
Mastering Hypothesis Testing
Conquering Vector Geometry
Mastering Differentiation Techniques in A Level Maths
Mastering Integration Techniques
Mastering the Equation of a Straight Line
Mastering Percentages: Tackling Common Misconceptions
Tackling Triangle Angle Calculations
Overcoming Common Misunderstandings in Ratio Questions
Conquering Negative Number Calculations
Tackling Percentage Change: Common Misunderstandings
Avoiding Common Pitfalls in Simplifying Fractions
Overcoming Common Misunderstandings in Converting Between Fractions, Decimals and Percentages
Simple Strategies for Solving Two-Step Equations
Choosing the Best Method for Solving Quadratic Equations
Steering Clear of Common Errors in Finding Stationary Points
Avoiding Common Pitfalls in Partial Fraction Decomposition
Avoiding Common Pitfalls in Integration by Parts
Common Pitfalls When Differentiating Composite Functions
Quick Strategies for Multiplying Fractions
Simple Strategies for Adding Fractions
Simple Strategies for Converting Metric Units
Easy Ways to Find Percentages of an Amount
Simple Strategies for Solving One-Step Equations in GCSE Foundation Maths
Mastering the Power Rule For Differentiation
Mastering Percentage Change Calculations
Tackling Negative Number Calculations in Foundation Maths
Solving Linear Equations in Foundation Maths: Balancing Method vs Inverse Operations
Finding HCF and LCM: Listing vs Prime-Factor Method
Mastering Rounding Techniques in Foundation Maths
Calculating the Mean: Ungrouped Data vs Grouped Data
Mastering Multiplication of Decimals: Grid Method vs Column Method
Visualising Ratio Problems with the Bar Model Method
Tackling Probability: Tables vs Tree Diagrams
Tackling Percentage Problems in Foundation Maths
Mastering Simultaneous Equations: Graphical vs Algebraic Methods
Mastering Circle Theorems for Higher Maths
Three Ways to Tackle Quadratic Equations
Choosing the Right Differentiation Technique: Chain, Product or Quotient Rule
Mastering Integration: Substitution vs Integration by Parts
Choosing the Right Approach to Solving Trigonometric Equations
Deriving the Derivative of sin x from First Principles
Calculating a Triangle’s Perimeter with Simple Substitution
Cracking the Code: Finding Kalim’s Mystery Number
Savvy Savings with Your Young Person’s Railcard
Making Cents of Family Outings – Calculating Ticket Costs and Change
The Importance of Order of Operations in GCSE Mathematics
Navigating Distance Tables with Confidence
Mastering Mental Estimation in Multiplication
Flying High with Simple Multiplication
Keeping Track of Numbers on the Move
Calculating Field Purchase and Hedging Costs Step by Step
When Consecutive Numbers Surprise You
Crunching Numbers: Bulk Calculator Purchases Made Simple
Maximising Mileage Reimbursements: A Simple GCSE-Level Calculation
Calculating Compensation: How Jade’s Refund Was Determined
Mastering Time Calculations: Jade’s Delayed Train
Deciphering Estate Agent Fees: A Step-by-Step Guide
Cracking the Code of Delivery Pay: Mario’s Pizza Puzzle
Making Sense of Money: Enzo’s Pizzas and Everyday Mathematics
Reading Rail Punctuality: Interpreting Line Graphs in GCSE Questions
Tiling Trouble? How to Calculate Boxes and Total Cost with Confidence”
Counting Change: A Real-World Foundation GCSE Question”
From –10 °C to 7 °C: Mastering Negative Numbers and Temperature Differences
Mastering the Numbers: Essential Skills for Exam Success
Calculating Total Weight: Multiplying Decimals by Whole Numbers
How to Read Dial-Type Scales Accurately in Maths Exams
Interpreting Fractions on a Petrol Tank Gauge
Essential Problem-Solving Skills for Foundation Students
Top Strategies to Tackle Maths Problems with Confidence
Exploring Likely Topics on Maths Paper 2
Maximising May Half Term Revision for Papers 2 and 3
Bouncing Back After a Tough Paper 1 Maths
Calculating Total Cost and Unit Price in a Buying-and-Selling Scenario
Solving a Two-Part Charging and Discount Problem
How to Tackle a Reverse Mean Question
Mastering Train Timetable Questions
Estimating Products Made Easy
Tackling Gas Meter Reading Questions
Estimating in Mathematics: A Vital Skill for GCSE Foundation Success
Managing Your Money: A Step-by-Step Maths Example
How to Add 132 and 249 – Step-by-Step Working
Expanding Brackets: A Step-by-Step Guide
Understanding Polynomials: The Building Blocks of Algebra
Tackling a Challenging Surds Question
Understanding the Rules of Surds
Understanding the Exact Value of $\cos 0^\circ$
How to Work Out the Perimeter of a Kite
How to Tackle a Mixed Mean Mass Problem
Top Tips for Remembering Conversions in GCSE Maths
How to Prepare for Your Final Two Calculator GCSE Maths Exams
Understanding Prime Factors: Spotting Common Mistakes
How to Calculate the Total Energy in Nigel’s Breakfast
How to Work Out 115% of 5000: A Step-by-Step Guide
Understanding the Theory Behind Separation of Variables
Understanding Continuity Correction in Statistics
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Understanding Ratios in a Maths Class
Calculating Change: A Real-Life Maths Problem
iGCSE vs GCSE Mathematics: What’s the Difference?
How to Substitute Values into an Expression
Finding a Number that is a Multiple of Both 4 and 10
How to Order Decimal Numbers from Smallest to Largest
Rounding 7360 to the Nearest 100: A Step-by-Step Guide
Converting 4 Kilograms into Grams: A Simple Guide
How to Write $27\%$ as a Decimal
Expressing $0.2\dot{3}$ as a Fraction in Simplest Form
Making $x$ the Subject: A Step-by-Step Solution
Expanding and Simplifying Cubic Expressions
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Solving a Kite Perimeter Problem – A Step-by-Step Guide
How to Work with Negative Indices and Mixed Numbers
How to Solve Percentage Change Problems
Understanding Prime Factorisation: A Common Mistake Explained
How to Show that $2 \frac{1}{4} - 1 \frac{5}{6} = \frac{5}{12}$
How to Write $7.2 \times 10^{5}$ as an Ordinary Number
How to Expand and Simplify Brackets: A Simple Guide
The Best Way to Order Decimals—Even When They Have Different Digits
Mastering Ratio, Percentages, and Fractions: A Simple Guide
How to Tackle Bearings Questions in Maths Exams
Why Do We Have Non-Calculator Maths Exams?
Understanding GCSE Results Day and Your Options If You Miss the Grade
Are Maths Qualifications Changing in the UK?
Will Maths Exam Candidates Receive Formula Sheets?
How to Master Questions on the Large Data Set in A Level Maths
How to Approach Challenging Mechanics Questions Involving Objects on a Slope
Understanding the Connection Between Logarithms and Indices
Independent Events in Probability: What You Need to Know for Exam Success
Understanding Mutually Exclusive Events: A Key Concept for Exam Success
What to Expect from AS-Level Statistics: Core Topics and Effective Revision Tips
Key Topics in AS-Level Mechanics: What to Expect and How to Succeed
Demystifying Numerical Methods: Tackling the Rearrangement Method and Cobweb Diagrams
How to Prepare for the Upcoming May Maths Exams: Essential Tips and Strategies
Adding Decimals and Fractions: Essential Skills
Converting Decimals to Fractions: A Key GCSE Maths Skill
Naming Polygons: A Key Skill for Maths
Working with Large Numbers in Data Tables: A Closer Look at GCSE Maths Skills
Understanding Angle Types
iGCSE Maths vs GCSE Maths: What’s the Difference?
Preparing for the iGCSE Mathematics Paper 1
Understanding Quadratic Equations: A Key Concept for Success
How to Tackle Grade 5 Questions on the GCSE Foundation Paper
Exploring the World of Vectors: Direction, Magnitude, and Application
The Beauty of Sequences and Series: Patterns, Sums, and Surprises
Understanding Calculus: The Bridge Between Algebra and Real-World Change
The Art of Mathematical Proof: Building Logical Confidence
Conquering Trigonometry: From Triangles to Graphs
The Power of Functions: Unlocking Mathematical Relationships
Mastering Integration: Techniques and Strategies for Success
Why Strong Numeracy Skills Matter for Your Future
Unravelling the Mystery of Negative Numbers: Common Misunderstandings in Maths
Last-Minute Tips for Acing Your 2025 Maths Exams
Sampling Methods: Making Sense of Large Populations in GCSE Maths
Data Collection: The First Step in Successful Statistics for GCSE Students
Understanding Types of Data: A Guide for GCSE Foundation Maths Students
Navigating Statistics at GCSE Level: Building Foundations for Success
Mastering Data Presentation: Turning Numbers Into Insights
Cluster Sampling: Simplifying Data Collection in Large Populations
Stratified Sampling: Ensuring Fair Representation in Statistics
Systematic Sampling: An Efficient Approach to Data Selection
Random Sampling: The Backbone of Fair Statistical Studies
Understanding Quantitative Data: The Power of Numbers in Statistics
Exploring Qualitative Data: A Key Concept in Statistics
Understanding Data Collection and Sampling: The Foundation of Good Statistics
Unlocking Success in A Level Statistics: Key Concepts and Study Tips
Demystifying Algebra: Tips for Success
Understanding Percentages: A Key Skill for Students
Key Topics to Revise for a Grade 5
Mastering Fractions: Essential Tips
Boost Your Exam Success: The Power of Practising Past Papers
How Doing Past Papers Supercharges Your Exam Preparation
The Chain Rule Trap—A Common Differentiation Mistake in Year 12
Avoiding the Most Common Pitfalls When Proving Trig Identities
Clearing Up Common Misconceptions in Advanced Mathematics
Decoding Probability
The Challenge of Fractions
How to Succeed in Maths: Tips and Tools for Students
Common Misunderstandings in Tackling Algebraic Expressions
Unlocking Success in Maths: Strategies and Support
Chain Rule vs Product Rule: Clearing Up Common Misconceptions
Integration by Parts or Substitution? Avoiding Common Pitfalls in Calculus
Common Misconceptions About Integration in Mathematics
Understanding Perimeter: Measuring Around Shapes
Understanding Probability: Your Guide to Everyday Chances
Breaking Down Place Value: The Building Blocks of Numbers
Making Sense of Bar Charts
Getting to Grips with Negative Numbers
Understanding Angles: Making Sense of Shapes and Turns
Cracking the Code of Mean, Median, and Mode
Conquering Ratio Problems Step by Step
The Power of Mathematical Induction
Exploring the Beauty of Complex Numbers
Unlocking the Power of Calculus: Differentiation Explained
Mastering Percentages: Simple Steps for Everyday Life
Understanding Fractions: A Key to Success in Maths
Common Errors in Multiplication: Why They Happen and How to Avoid Them
Common Misconceptions About Percentages Among Students
Common Misconceptions About Time Calculations Among Students
Common Misconceptions About Working With Fractions
Solving Real-Life Percentage Problems: Juan’s Flight Ticket Choices
Calculating Percentage Profit: A Practical Car Sale Example
How Popular Is Advanced Mathematics Study Among Students in the UK and Worldwide?
Unlocking Success in Advanced Mathematics: Tips for Exam Preparation
How to Find the Area of a Triangle: A Step-by-Step Guide
How to Find the Number of Sides of a Polygon from Its Exterior Angle
How to Find the Diameter of a Circle from Its Circumference
What Should Foundation Maths Students Revise in the Last 13 Days?
When Should You Use the Chain Rule, Product Rule, or Quotient Rule in Differentiation?
Understanding the Difference Between Alternate, Corresponding, and Co-Interior Angles
Top Tips to Secure a Grade 4 in Your Maths Exam
Integration by Substitution vs. Integration by Parts: How to Decide Which Method to Use
Understanding the Main Differences Between Maths Exam Boards
Understanding the Difference: Maths vs Further Maths at GCSE Level
Last-Minute Revision Tips for GCSE Students: Make Every Moment Count!
How to Secure a Grade 7 on the Higher Tier for A Level Maths Ambitions
Ace Maths Without a Calculator: Confidence Tips for Paper 1 on 15th May 2025
Top Strategies to Boost Your Exam Success in Mathematics
How a GCSE Resit Student Can Best Prepare for the 2025 Exams
How to Calculate the Area of a Circle with a Radius of 7cm
The Essential 8 for GCSE Maths: What Every Student Should Master
How to Simplify Expressions Like $4(x + 3) - 3(2x - 4)$
What is the Hardest Part of GCSE Maths?
How to Order Fractions, Decimals, and Percentages: A Simple Guide for GCSE Foundation Students
How to Multiply Without a Calculator: Fractions, Decimals, and Simple Tricks
Solving Trig Identities Using the Double Angle Formula: A Key A Level Skill
How to Order Decimals: A Simple Guide for GCSE Foundation Students
How to Order Negative Numbers: A Guide for GCSE Foundation Students
Topics Most Likely to Appear on GCSE Foundation Paper 1: A Guide for Students
Finding Missing Angles in a Polygon: A Simple Example
When Do GCSE Results Come Out in 2025?
Mastering the Trapezium Rule: Essential Guide for A Level Maths Students
Do You Need Maths GCSE to Go to University?
Understanding Grade Boundaries to Pass Foundation GCSE Maths
How to Pass GCSE Foundation Maths After Failing in School and a November Resit
Coping with Summer Heat and Exam Stress: Tips for Success
Mastering the Four Operations: A Foundation GCSE Problem
Mastering Surds: A Challenging Example for GCSE Higher Students
How to Use the Normal Approximation for the Binomial Distribution: A Step-by-Step Guide
How to Find the Mean from a Grouped Frequency Table: A Guide for GCSE Foundation Students
How to Tackle Time Questions in Maths: A Step-by-Step Guide
Time Conversions Made Easy: Minutes to Hours and Hours to Minutes
How to Differentiate $sin x$
How to Solve a Restaurant Bill Problem: Akbar and Friends’ Dinner Out
How to Solve Ratio Questions: Example with Bob and Sue
How to Divide Decimals: A Simple Guide for Students
Tips for Solving Worded Maths Problems: Advice for GCSE Foundation Students
How to Convert Between Kilograms and Grams: A Guide for Students
Using Fractions to Solve Money Problems: A Simple Guide
What Are Natural Numbers? An Introduction
What Is a Rational Number? A Simple Guide
Mastering Time: A Guide for GCSE Foundation Students
GCSE Foundation: How to Remember the Difference Between Radius and Diameter
Key Facts About Isosceles Triangles Every GCSE Student Should Know
Understanding the Mode: What It Is and Why It Matters
How to Find the Range and What It Actually Is
How to Find the Mean from a Frequency Table
How to Calculate Angles for a Pie Chart from a Frequency Table
iGCSE vs GCSE Maths: What Are the Differences?
How to Find a Missing Angle in a Triangle (Interior and Exterior Angles Explained)
Mastering Column Multiplication with Decimals: A Step-by-Step Guide
Deriving the Sum Formula for an Arithmetic Series: Step by Step
How to Find the First Term and Common Difference in an Arithmetic Sequence: A Simple Example
Arithmetic vs Geometric Sequences: What Sets Them Apart?
Understanding the Difference Between a Sequence and a Series
Why Are Proof Questions Sometimes So Obscure in Advanced Mathematics?
Have All Advanced Mathematics Exam Questions Always Been Solvable?
The Three Pillars of Advanced Mathematics
Can You Teach Yourself Advanced Mathematics for University Entry?
What Are the International Equivalents of Advanced Mathematics Qualifications?
A Level Maths Exam Dates with MEI and How to Prepare
What Are the Exam Dates for AS Maths Exams in 2025?
Is MEI the Hardest Maths Exam Board?
Can You Do AS and A Level Maths in the Same Year?
How Many AS Maths Papers Are There and What Are the Typical Grade Boundaries?
How Many AS Maths Papers Are There?
How Difficult Are AS Maths Exams? Tips for Preparation
Which Exam Boards Offer AS Exams?
What is a Stealth Quadratic?
Understanding the Concept of Ratio: A Simple Guide
A Simple Way to Remember the Days in Each Month
Tackling Difficult Timetable Questions: A Step Beyond the Basics
Taking on Tough Train Timetable Questions: Are You Ready for the Challenge?
Mastering Challenging Bus Timetable Questions
Tackling Bus Timetable Questions
How to Tackle Bus Timetable Questions
Understanding Train Timetables with Missing Stops
Mastering Column Multiplication: A Step-by-Step Guide
The Grid Method for Multiplication: A Simple Guide
Understanding Division with a Remainder
Understanding Long Division: A Simple Guide
Why Simple Calculations Like 45 x 100 Matter
The Chinese Method for Multiplication: A Visual Approach
Overlapping Samples: How Many People Will Be in Both Riley’s and Sam’s Surveys?
How to Find the Cost Per Kilogram: Solving a System of Equations with Vegetables
Are These Two Triangles Mathematically Similar? A Step-by-Step Guide
Understanding Probability: Stopping at Traffic Lights or Level Crossing (But Not Both)
Why the Student is Wrong: Understanding Sine Values in Right-Angled Triangles
How to Write an Expression for Weight in Grams When You Know Kilograms
Understanding Prime Numbers: Why 1 is Not Prime
Solving for a Variable Using Functions: A Classic GCSE Maths Problem
How Long Did Finley Hire the Motorhome? Step-by-Step Cost Calculation
How Many Points Are Needed in the Final Event? A Real Competition Scoring Problem
Who Finished Faster? Comparing Heidi and Yoshi’s Race Times
Circle Geometry: Finding the Area When Given the Diameter’s Endpoints
Solving for Unknowns in a Circle Equation: Coordinates, Constants, and the Radius
Finding the Exact Length Between Two Points: A Coordinate Geometry Essential
Calculating the Exact Distance Between Two Points
Mastering Coordinate Geometry: Finding Intercepts and Triangle Area
Find the Coordinates of the Points at Which Each Straight Line Crosses the Coordinate Axes
How to Find the Value of a Constant for a Point on a Line
The Straight Line through Two Points
How to Find the Equation of a Straight Line with Gradient −3 Through the Point (−1, 1)
How to Find the Equation of a Straight Line in the Form $ax + by + c = 0$
How to Find the Equation of a Straight Line Passing Through (2, 9) and (7, −1)
How to Find the Gradient and Y-Intercept of the Line
Finding the Missing Dimension of a Cuboid: A GCSE Maths Guide
How to Calculate the Amount of Red Paint Used in a 2:3 Ratio Mix
How to Find the Size of Angle ‘a’ When Four Lines Meet at a Point
How to Find the Number Halfway Between 4.2 and 6
How to Find a Square Number Between 40 and 70
What Are the Three Factors of 25?
How to Round £3.2875 to the Nearest Penny
How to Round 3648 to the Nearest Hundred: A Step-by-Step Guide
What Is an Even Number?
What Is an Odd Number?
Understanding Simple Interest in Mathematics
Understanding Negative Numbers in Mathematics
What Is a Prime Number?
Understanding Multiples in Mathematics
What Is a Factor? A Simple Guide
Understanding Upper and Lower Bounds in Maths
The Importance of Estimation in Mathematics
Understanding Truncation in Mathematics
Rounding Numbers Made Simple
Exploring the Properties of $y = \sin x$
What Is Arithmetic? A Simple Guide
Understanding Trigonometry and Its Complexity
Understanding Place Value: A Key Concept in Mathematics
Tesco vs ASDA: Where Are Carrots Better Value?
Which Shop Offers the Best Value for Radox Handwash: Boots or Superdrug?
Where Are Potatoes the Better Value? Farm Shop vs Supermarket
Which Toilet Roll Pack Is Better Value for Money?
Which Baked Beans Pack Is the Best Value for Money?
Which Taxi Company Offers the Best Value for Money?
How to Multiply with Decimals: A Simple Guide
What Is a Reciprocal? A Simple Guide for GCSE Foundation Students
Tackling Mixed Differentiation Questions: Product, Quotient and Chain Rule
Simple Steps to Solve Addition Problems in Words
Building Confidence with Addition Word Problems
Mastering Simple Percentage Word Problems – A Step-by-Step Guide
How Much Did Tim Sell Each Doughnut For? Let’s Work It Out Together!
Figuring Out Ticket Numbers at the Petting Farm
How Many Bath Bombs Did Jasmine Buy? Let’s Solve the Problem Together
How Many Days Did Samira Hire the Digger? Let’s Break Down the Costs
How Much Does Each Ruler Cost? Let’s Break Down Fozia’s Shopping Maths!
Does Jenny Get the Right Change? Let’s Check Her Maths!
How Much Does One Packet of Ham Cost?
How Much Change Should Antoni Get After Buying Candles?
Did Andrew Receive the Correct Change at the Coffee Shop?
How Much Did Each Cookie Cost? Solving a Real-World Maths Problem
Work Out $(4 \times 10) \div (10 \div 2)$ : A Step-by-Step Guide
Work Out : Understanding Order of Operations
Unlocking the Power of the Trapezium Rule in Calculus
How Linear Transformations Affect the Normal Distribution
Cracking the Code: Understanding Grade Boundaries and Achieving an A* in Advanced Mathematics
Demystifying the MEI Paper 3 Comprehension: How to Prepare and Succeed
Succeeding in Your Foundation Non Calculator Exam: A Comprehensive Guide
Mastering Your Mathematics Exams: The Ultimate Guide to Success in May 2025
Solving Ratio Problems: Finding Unknown Angles
How to Find Ratios Involving Three Quantities: Sweets Example
Solving Ratio Problems: Adults and Children on a Flight
How to Tackle Reverse Percentage Questions: A Simple Guide
Understanding Ratios: Comparing Money Amounts
Decoding What a Maths Exam Question Wants From You
Why Do So Many Students Struggle with Maths Exams?
How Many Times Does Joan Need to Boil the Kettle? A Real-Life Maths Problem
Roy’s Savings Journey: How Much Has He Saved Altogether?
How Much Money Do Jessica and Ellie Have Altogether?
How Much Did Class A and Class B Raise for Charity?
Car Sale Savings: Calculating the Price Reduction
Phil’s Investment: Calculating Simple Interest Earnings
Simple Interest Savings: Calculating Holly’s Investment Earnings
Sale Savings: Calculating the Discounted Dress Price
Test Tussle: Amelia vs. Sophie – Who Scored Highest?
Cake Calculations: Figuring Out Dermot’s Lemon Cake Count
Sofa Shopping and Payment Plans: A Multi-Step Maths Problem
Calculating David’s Pay Raise: A Percentage Increase Problem
Solving the Cinema Crowd: Finding the Total Number of People
Bonus Bonanza: Comparing Richard and Connor’s Bonuses
Mastering Percentages: Calculating 252% of 120
Percentage Showdown: Which is Greater? 25% of 90 or 28% of 82?
Unlocking Percentages: Calculating 21% of £160
Decoding Percentages: Finding 1% of 200 Litres
Cracking Calculations: Finding 50% of 1200 grams
Quick Maths: Finding 10% of £95
Decoding Angles: Solving Ratio Problems in Geometry
Sharing the Spoils: Solving Ratio Problems with a Twist
Triangle Angles: Unlocking the Mystery with Ratios
Rugby Ratios and Ticket Sales: A Maths Challenge
Sharing the Prize: Cracking Ratio Problems
Election Math: Simplifying Ratios Like a Pro
Sweet Sharing: Mastering Ratio Problems
Sharing the Spoils: Dividing Money in a Given Ratio
The Role of Quantitative Analysts
Understanding the Modulus Function: A Key Concept for A Level Maths
Mastering Trigonometric Identities: Tips for Success
Understanding Equilibrium: The Balance of Forces in Physics and Beyond
Understanding the Coefficient of Friction: Key to Understanding Motion
Understanding Unit Vectors: The Foundation of Direction
Exploring the Relevance of Advanced Mathematical Concepts in Everyday Life
Demystifying Negative Indices: Finding the Value of 2⁻⁴
Simplifying Expressions with Indices: A GCSE Maths Example
Understanding Zero Power: What is 7⁰ (and Why)?
GCSE Maths Problem Solving: Comparing House Values After Percentage Changes
GCSE Maths Ratio Problem: Comparing Sticker Collections
Work out 3.67×4.2
GCSE Maths Problem Solving: How Many Grass Seed Boxes Does Balena Need?
Tackling Compound Shapes: A GCSE Maths Guide to Finding the Area
Simplifying Algebraic Expressions: A Quick Guide for GCSE Maths (Example: 7 × e × f × 8)
Mixed Numbers to Improper Fractions: A GCSE Maths Essential!
Pie Charts Made Easy: Calculating Angles for GCSE Maths
Mastering Two-Way Tables in GCSE Maths: A Simple Guide
Unlocking the Secrets: Calculating the Mean from a Frequency Table in GCSE Maths
Conquering Expanding Brackets in GCSE Maths: A Step-by-Step Guide
Frequency in GCSE Maths: More Than Just How Often Something Happens
Unlocking the Secrets of Exterior Angles in GCSE Maths
GCSE Maths: It’s More Than Just What You Learn in the Classroom
GCSE Maths Cheat Sheets: Your Secret Weapon for Exam Success?
GCSE Maths: Understanding Bounds (and Avoiding Costly Mistakes!)
Choosing the Right GCSE Maths Books: A Student’s Guide to Success
Decoding the GCSE Maths AQA Specification: Your Guide to Exam Success
Decoding the A Level Maths Formula Sheet: Your Exam Room Companion
Choosing the Right A Level Maths Books: A Comprehensive Guide
Understanding A Level Maths Grade Boundaries: What You Need to Know
Vectors in A Level Maths: Navigating the Course
Unlocking Sequences: Finding the nth Term of a Quadratic Sequence
X Marks the Spot: Finding Where a Line Meets the X-Axis (GCSE Maths)
Standard Form Secrets: Writing 0.0043 the Right Way
Standard Form Simplified: Writing 50000 the Easy Way
Ratio Rescue: Finding the Number of Girls in Year 7
HCF Made Easy: Finding the Highest Common Factor of 30 and 18
Fraction Frenzy: Expressing 50cm as a Fraction of 2m (Simplest Form)
Time Traveler: Converting Between 12-Hour and 24-Hour Time (GCSE Foundation Level)
Decimal Ordering Decoded: From Smallest to Largest (GCSE Foundation Level)
Proportionality Power: Finding A in Terms of B (A Higher GCSE Maths Skill)
Solving Simultaneous Equations: The DVD and CD Dilemma (GCSE Maths)
GCSE & iGCSE Maths Exams 2025: Key Dates for Your Calendar
GCSE Maths vs. iGCSE Maths: What’s the Difference?
Car Depreciation Decoded: A GCSE Maths Problem (and How to Solve It!)
Sweet Success: Cracking Ratio Problems in GCSE Maths (Jam Edition!)
Inequality Insights: Solving 3x + 4 ≤ 22 (A GCSE Maths Guide)
Pocket-Sized Percentages: Finding 10% of £7 (A Quick Guide)
Pocket Money Maths: Calculating 50% of £3 (It’s Easier Than You Think!)
Decoding Numbers: Writing 1804 in Words (and Why It Matters)
Chilli Con Carne Conundrum: Scaling Recipes with Maths!
A Level Maths Revision By Topic: Your Key to Exam Success
Conquering A Level Maths A Questions: The Ultimate Guide*
A Level Maths Revision Activities: Supercharge Your Study Sessions!
A Level Maths AQA: Navigating the Numbers Game
Calculating Journey Costs: From Miles to Pounds
Centimeters to Millimeters: A Simple Conversion Guide
Finding the 7th Odd Number: A Simple Guide
Reverse Percentage Problem: Finding the Original Price of a Boat After a Discount
Unlock Your Pass: Why Mastering Core Content is Key to Foundation GCSE Maths Success
Grade 4 Focus: Can You Skip the Last Questions on the Foundation GCSE Maths Paper?
Ace the Start, Secure the Pass: Why the First 22 Questions Matter on the Foundation GCSE Maths Paper
Why Is GCSE Maths So Hard? Unveiling the Challenges
Finding the Highest Common Factor (HCF): A Step-by-Step Guide
Simplifying Expressions with Exponents: Dividing Powers
Expressing a Part of a Whole: Writing 17 as a Fraction of 30
The Order of Operations: Why Alec Got It Wrong
Solving a Flour Weight Problem: A Step-by-Step Guide
Ordering Decimals: Putting 1.02, 0.12, 1.20, and 0.21 in Size Order
Meters to Centimeters: A Quick and Easy Conversion
From Percentage to Fraction: Writing 31% as a Fraction
Which is the Easiest A-Level Maths Exam Board? The Great Debate
Simplifying Expressions with Exponents: Power of a Power
What’s the Best Calculator for A-Level Maths? Choosing Your Weapon of Choice
Why Do A-Level Maths? Unlocking Doors to Your Future
Why Is A-Level Maths So Hard? Unraveling the Mystery
Will A-Level Maths Ever Be Compulsory? The Debate Heats Up
A-Level Maths with a Grade 5: Is It Possible?
Decoding Your Results: Is a Grade 6 a Good Grade in GCSE Maths?
Decoding the Numbers: Is 50% a Pass on GCSE Foundation Maths?
Shining Stars: Which UK Schools Excel in GCSE Maths?
Decoding Grade 9: How Many Students Achieve Top Marks in GCSE Maths?
Is a Grade 7 at GCSE Good? Unpacking the Value of Your Results
Is a Grade 3 a Pass in GCSE Maths? Understanding Your Results
Understanding the GCSE Maths Pass Mark: Key Information for Success
Why a Grade 4 in GCSE Maths is Your Golden Ticket!
Decoding Standard Form: Taming Gigantic and Tiny Numbers!
Mastering the Rules of Indices: Your Guide to Exponent Success
Cracking the Code: Understanding the Highest Common Factor (HCF)
Finding Common Ground: Understanding the Lowest Common Multiple (LCM)
Unlocking Numbers: Understanding the Product of Primes
Cracking the Cube: Understanding Cube Numbers with Simple Examples
Powers and Square Roots: Unlocking the Secrets of Exponents and Radicals
Unlocking the Secrets of Prime Numbers: The Building Blocks of All Numbers
Squaring Up: Understanding Square Numbers with Simple Examples
Decimals vs. Significant Figures: What’s the Difference and Why Does it Matter?
Getting Close Enough: Why Estimation is a Superpower in Maths (and Life!)
Decimals in Order: A Step-by-Step Guide to Ordering Decimals Like a Pro
Getting to the Point (Almost!): Mastering the Art of Rounding
Adding It All Up: Mastering Addition from Basics to Beyond
Decoding Division: From Sharing to Advanced Techniques
Mastering Multiplication: From Basics to Advanced Techniques
Understanding Place Value: What’s the 6 Worth in 5619?
Subtracting Decimals: A Simple Guide to Mastering the Technique
Ordering Temperatures: From Freezing to Mild
Adding Decimals Made Easy: A Step-by-Step Guide
Biro Bargains and Sofa Savings: A Frugal Shopper’s Guide
Understanding the Area of a Sector
Delving into Discrete Data: A Fundamental Concept in A Level Maths
Decoding Data: Calculating and Interpreting Mean, Mode, Median, and Mid-Range
Decoding Data: Categorical, Discrete, or Continuous?
Finding ‘k’ and Illustrating a Discrete Distribution: A Step-by-Step Guide
Deciphering P(X = r): Understanding Probability Notation
Dice Rolling and Probability: Exploring Discrete Distributions
Diving into Bivariate Data: Uncovering Relationships in A Level Maths
Unveiling Discrete Random Variables
Spotting the Difference: When to Use a 1-Tail or 2-Tail Test
Understanding Residues and the “Least Squares” Regression Line
Understanding PMCC: A Key Concept Maths
Curve Ahead: Mastering Arc Length for GCSE Maths
Unlocking the Area of a Circle: Your GCSE Maths Guide
Wrapping Your Head Around Circumference: A GCSE Maths Guide
Slide into Success: Mastering Translations in GCSE Maths (Foundation & Higher Tier)
Circling Back to Basics: Understanding the Parts of a Circle for GCSE Maths
Pressure Points: Mastering Pressure Calculations for Higher GCSE Maths
Density Decoded: A Simple Guide for Foundation GCSE Maths
Decoding Journeys: A Guide to Travel Graphs for Foundation GCSE Maths
Speed, Distance, Time: Your Essential Guide for GCSE Maths (Foundation Level)
Navigate with Ease: Understanding and Using Distance Charts
Decode the Rails: A Guide to Understanding Bus and Train Timetables
Tick-Tock Time Troubles? Master Time Calculations with This Guide
Spinning Around Symmetry: A Guide to Rotational Symmetry for GCSE Maths
Mirror, Mirror: Exploring Lines of Symmetry for GCSE Maths
Sensible Estimating: A Key Skill for GCSE Maths Success
Understanding Units: The Key to Success in GCSE Foundation Maths
Trapezium Troubles? Conquer the Area with This GCSE Maths Guide
Unlock the Area of a Triangle: A GCSE Maths Guide
Mastering the Area of a Rectangle: A Simple Guide for GCSE Maths
Walking Around Shapes: A Guide to Perimeter for GCSE Maths
Navigate the World: Understanding Scales and Maps in Maths
Navigate to Success: A Guide to Bearings in Maths
Polygons and Their Puzzles: Unlocking the Secrets of Angles
Quadrangle Quandaries No More: Mastering Angles in a Quadrilateral for GCSE Maths
Cracking the Code: Understanding Angles in a Triangle for GCSE Maths
Multiplying Decimals Made Simple: A Clear and Easy Guide
Unlock the Secrets of Angles in Parallel Lines: A GCSE Maths Guide
Angles Uncovered: A Guide to Different Types of Angles
Angles at a Point: Mastering the Basics for GCSE Maths
Angles: Your Guide to the Basics
Right Angles: More Than Just Corners!
Simplifying Algebraic Expressions: Understanding c + c + c + c + c
Mastering Decimals: Arranging Numbers in Order (Largest First)
Mastering Decimals: Arranging Numbers in Order
Mastering Estimation: Estimating the Value of (49.1 × 40.4) / (9.05 − 5.1)
Mastering Significant Figures: Writing 1373 Correct to 1 Significant Figure
Mastering Rounding: Rounding 5.27 to the Nearest Tenth
Mastering Rounding: Rounding 47638 Days to the Nearest Thousand
Mastering Rounding: Rounding 9311 to the Nearest 100
Mastering Rounding: Rounding £128.32 to the Nearest £10
Mastering Rounding: Rounding 752kg to the Nearest Hundred Kilograms
Mastering Rounding: Rounding 64 to the Nearest Ten
Real-World Maths: Sharing Money Equally
Real-World Maths: Calculating Wedding Tables
Mastering Division: Working Out 426 ÷ 3
Real-World Maths: Calculating Press-Ups in January
Mastering Multiplication: Finding the Product of 126 and 5
Mastering Subtraction: Working Out 415 – 132
Mastering Multiplication: Working Out 17 x 8
Mastering Addition: Finding the Sum of 522 and 193
Decoding Large Numbers: Writing “Nine Million” in Figures
Mastering Addition: Working Out 345 + 77
From Words to Numbers: Translating “Eighteen Thousand and Thirty-Two”
Decoding Numbers: Writing 3104 in Words
Unlocking Numbers: How to Write 981 in Words
Twin Heights: A Mean Calculation Mystery!
Pond Path Problem: Area, Circles, and Cost!
Sharing the Spoils: A Ratio, Investment, and Compound Interest Adventure!
Gold Cube Conundrum: Scaling Down the Treasure!
Christmas Eve Countdown: A Tricky Time Calculation!
Christmas Cake Conundrum: A Recipe for Maths Success!
Scaling Down the Art: A Similarity Problem
The Right-Handed Factory: A Ratio Riddle
The Exam Bet: Can Kevin Secure His Victory?
Tank Tales: A Simple Filling Problem with a Twist
Plant Profit Puzzle: Working with Fractions, Ratios, and Profit Margins
Tank Filling Calculations: Ratios, Rates, and Unit Conversions
Area of a Rectangle with Algebraic Sides: A GCSE Challenge
Ratio Changes: Tracking Percentage Increases in School Populations
Solving Stamp Scenarios: Systems of Equations in Action
Decoding Discounts: Working Backwards to Find the Original Price
Baking Calculations: Scaling Recipes and Finding Limits
Lawn Care Calculations: Area, Cost, and Discounts
Cycling Calculations: Wheel Revolutions and Distance
Bead Bonanza: Unlocking Ratio Problems
Global Computer Shopping: Finding the Best Deal for Kate
Silver Dog Statues: Calculating Fred’s Maximum Profit
The Sisters’ Race Home: Speed Isn’t Everything!
Book Sale Bonanza: Calculating Total Revenue with Ratios and Discounts
Estimating Revenue: Predicting School Play Ticket Sales
Youth Club Trip Finances: Can Aleena Cover the Costs?
Museum Visit on a Budget: Finding the Cheapest Ticket Combination
School Play Fundraising: Calculating the Charity Donation
Milk Math: Pints and Pence – Finding the Best Deal
Grass Seed Showdown: Finding the Best Value for Your Lawn
Holiday Budgeting: Calculating Spending Money
Shelf-Making Optimisation: Minimising Wood Costs
Shopping Trip Transport: Tram vs. Taxi – Which is Cheaper?
Cinema Ticket Savings: A Cost Comparison Problem
Sausage Party Planning: Enough for Everyone?
Calculating Total Weight: A Simple Multiplication Problem
Finding the Next Ring: Solving a Least Common Multiple Problem
Find the difference between 85 and 26
Estimating Utility Bills: Another Practical Maths Application
Estimating Charity Donations: A Real-World Maths Problem
Simple Addition: Calculating Daniel’s Fruit Purchase
Supermarket Maths: Calculating Bart’s Spending
Mastering the Four Operations: Your Foundation for Maths Success
Like Terms: It’s All About the Letters (and Powers!)
Linear Expressions: Algebra’s Building Blocks
Collecting Like Terms: Simplify Your Algebraic Expressions
Hypothesis Testing: Unveiling Truths from Data
Tree Diagrams: Visualising Probability with Ease
Mutually Exclusive Events: A Clear and Concise Explanation
Meeting Attendance: Finding the Total Number of People
Measuring Up: Calculating David’s Height
Decimal Delights: Using Known Values to Solve New Problems
Hats Off to Profit? Calculating Ravi’s Fete Earnings
Cinema Seats and Ticket Sales: Uncovering the Unsold Tickets
Hats vs. Hospitality: Comparing Hourly Pay Rates
Battery Budgeting: Calculating Ben’s Change
Party Planning and Presents: Calculating Toy Costs for Uzma’s Party
Coffee, Tea, and Sandwiches: Splitting the Bill Fairly
Daily Earnings: Ryan’s Bonus vs. Carl’s Tips
Holiday Costs: Splitting the Bill Fairly
Orange Orchard Economics: Did Sam Make a Profit?
Laundry Logistics: Calculating Washing Powder Needs
Tea Time Calculations: How Many Cups Can Abigail Make?
Sweet Treats and Smart Shopping: Calculating the Cost of Chocolate Bars
Savings Showdown: Splitting the Money Between Noah and Mia
Molly’s Paycheck Puzzle: Did She Break the £150 Barrier?
String Theory (the Math Kind!): Calculating Lengths and Cuts
Calculator and Pen Conundrum: Does Jude Have Enough Cash?
Solving a Stationery Shop Mystery: Pens, Pencils, and Equations!
Chocolate Bar Bonanza: A Practical Math Problem
From Tonnes to Kilograms: Converting Units of Mass
Pen Pal: Uncapping the Best Value in Pen Purchases
Apple-Banana Economics: Solving a Real-World Algebra Problem
Apple-Pear Puzzle: Cracking the Code with Algebra
Sausage Roll Surprise: Calculating Change and Understanding Price Changes
Biscuit Bonanza: Crunching the Numbers to Find the Best Biscuit Deal
Coin Counting: Calculating the Value of a Bottle of Change
Juice Juggle: Squeezing the Best Value from Your Orange Juice Purchase
Cereal Showdown: Which Box Gives You the Most for Your Money?
The Great Toilet Roll Value Debate: Finding the Best Deal!
Calculating Costs: Multiplying Decimals with Calculators in Mind
Crate Expectations: Maximising Van Capacity
Dividing by Decimals: A Step-by-Step Guide to 1572 ÷ 0.3
Unlocking Remainders: Dividing 487 by 23
Mastering Multiplication: A Step-by-Step Guide to 736 × 24
Pencil Power: Calculating Costs and Cracking Problems
Breaking Down Multiplication: 362 × 54 Step-by-Step
Crunching Numbers: Finding the Missing Mean
Dice Roll Data! Finding the Median, Mean, and Range in Foundation GCSE Maths
Homework Help! Finding the Mode and Mean of Chloe’s Marks
Bus Timetables: A Practical Maths Problem
Understanding Train Timetables: A Foundation Level Example
Reading Timetables: A Railway Example
Subtracting Decimals: A Step-by-Step Guide
Solving Word Problems: A Cinema Ticket Scenario
Concrete Calculations: Does Talil Have Enough?
Calculating Change: A Practical Maths Problem
Kerry’s Spending: Calculating Entertainment Costs
Bedroom Makeover on a Budget!
Sharing Money with a Difference: Finding Pat’s Share
Chris’s Adventure and the Case of the Missing Change!
Students at a Conference: A Ratio and Proportion Problem
Bus Stop Maths: A Simple Sum That’s More Important Than You Think
Here’s a blog post explaining how to solve the pizza ingredient ratio problem:
Coin Conundrums: Solving Simple Addition and Subtraction Problems
Sharing a Prize: Dividing Money Between Roger and Bethan
Badge Bonanza: Calculating Sam’s Change (in Pence!)
Fueling Your Knowledge: Calculating Petrol Costs
Calculating Kaysha’s Part-Time Pay
Sharing Money and Fractions: How Much Did Colin Get?
Back-to-School Budgeting: Calculating Farah’s Change
Sharing Money Based on Age: Becky’s Generosity
Snack Time Savings: Calculating Emma’s Change
Dividing Money with Ratios: Ken and Susan’s £20
Decoding Pet Ratios: Cats vs. Fish
Sharing Money in a Ratio: How Much Did Ben Get?
Dividing a Length in a Given Ratio: A Step-by-Step Guide
Completing a Probability Table: A Step-by-Step Guide
Decoding a Fibonacci Sequence: Finding the Value of ‘a’
Water Tank Challenge: Company A vs. Company B
Potato Cake Proportions: Calculating Cheese Costs
Creating a Stem and Leaf Diagram: A Visual Guide
Converting Square Meters to Square Centimeters: A Quick Guide
Math Mystery: Did Jenna Really Measure Those Angles?
Fractions and Real-World Costs: Calculating Land Value
Ratios and Percentages: Understanding Earth’s Composition
Time Conversion: Minutes to Hours and Minutes
Real-World Maths: Book Buying on a Budget
Time Troubles? Let’s Solve This!
Unlocking the Domain: Finding Where Your Function Lives
Understanding Increasing and Decreasing Functions: A Visual Guide
Untangling Change: Understanding Related Rates in Calculus
Unlocking Motion: Why Velocity-Time Graphs are Essential
Finding the Resultant Force: Combining Forces into One
Understanding Acceleration: The Rate of Change of Velocity
Understanding Velocity: Speed with Direction
Understanding Displacement: More Than Just Distance
Essential Calculations: Bridging the Gap Between Theory and Reality
Understanding and Calculating Moments: A Simple Guide
From Equations to Applications: Mastering Key Quantitative Skills
Beyond Formulas: A-Level Insights into the Universe’s Code
Beyond the Textbook: Mastering A-Levels with Numbers and Nature
Decoding Reality: A-Level Adventures in Science and Numbers
A-Level: Your Gateway to the Cosmos and Computation
Unlocking the Universe: A-Level Adventures in Science and Calculation
Cracking the Code: What Does AO2 Really Mean in GCSE English?
Decoding the Mark Scheme: What Does AO1 Really Mean?
Decoding the Exam: So What Is an AO?
Unlock Deeper Understanding: How to Annotate Texts Like a Pro
Unlock Your English Potential: Why Annotation is Absolutely Essential
Unlocking Texts: What is Annotation and Why is it Your Secret Weapon?
PEEL Paragraph Power: See It in Action!
Decoding the Code: What Is the Mark Scheme Really Asking For?
So, What is SPaG? A Guide to Spelling, Punctuation, and Grammar
Unlock Top Marks: Mastering the PEEL Method in Your English Exams
From Binomial to Normal: Approximating Probabilities with Ease
Ace Your English Exam: Essential Basics to Remember
Hypothesis Testing with the Normal Distribution: A Step-by-Step Guide
Mastering Probabilities: Your Guide to Using the Normal Distribution
Decoding the Bell Curve: Key Characteristics of a Normal Distribution
Unlocking the Secrets of the Inverse Normal Distribution
Planning is Key: Ace Your English Exam with a Solid Strategy
Decoding the Standard Normal Distribution: Your Key to Statistical Success
Ace Your Exams: Top Strategies for Advanced Calculations
Unlocking Numbers: Mastering Your GCSEs
Ace Your GCSEs: Essential Tips and Tricks
Conquer Calculations: Your Guide to GCSE Success
Beyond the Formulas: The Elegant Dance of Calculation and Discovery
Struggling with A-Levels? Proven Strategies for Academic Success
Decoding A-Levels: Your Roadmap to Top Grades
Beyond the Classroom: Real-World Applications of A-Level Sciences
A-Level Sciences: Mastering the Equations and Concepts
From Mechanics to Calculus: Ace Your A-Level Exams
Conquering A-Levels: Your Essential Guide to Problem-Solving
Simultaneous Equations? No Problem!
Andy’s Canadian Adventure: Flights, Hotels, and Wi-Fi – Oh My!
Dishwasher Dilemma: Calculating Monthly Payments
Triangle Trouble: Finding Those Elusive Angles
Unlocking the Mystery Number: A Fraction Problem
Calculating Cups: An Algebraic Adventure
Order of Operations: Don’t Be Like Alec!
Combining Ratios
The Plates and Machines Problem: Understanding Inverse Proportion
The Balloons and Pencils Puzzle: Finding the Common Ground
Solving Inequalities: Finding the Greatest Integer Solution
Elena’s Sports Centre Visit: Where Did All the Time Go?
Standard Form: Expressing 468000 Concisely
Calculating Pressure: The Storage Tank Example
Decimal Multiplication: Mastering 0.004 × 0.32
Prime Factorisation: Breaking Down 500
Derivative of x³ from First Principles
Fay’s Theme Park Adventure: Budget Breakdown!
Estimating Gradients: A Quick Look at Curves
he Power of Prediction: How Science Anticipates the Future
Conquer Integration by Substitution with Ease!
Why Equations Are More Than Just Symbols
Unlocking Cartesian Equations from Trigonometric Parametrics: Finding the Right Relationship
The Art of Problem-Solving: A Journey Through Logic and Nature
Numbers and Nature: Unveiling the Patterns That Shape Our World
The Universe’s Hidden Language
Probability and Genetic Predisposition: Should Paul Be Worried?
Conditional Probability: Finding P(A|B)
Bayes’ Theorem in Action: Judith’s Indigestion
From Atoms to Algorithms: Exploring the Fabric of Existence
Conditional Probability with Discs: A Tricky Problem
Conditional Probability and Independence: Tom’s Forgetfulness
Probability in Football: Chipping FC’s Chances
Card Drawing Probabilities
Probability in a Table Tennis Match
Why a Regular Polygon Can’t Have a 155° Interior Angle
Proving a Simple Inequality
Understanding the Difference of Two Squares
Understanding Expansion of Brackets
Calculating Distance: A Simple Speed Problem
Simplifying Ratios: A Colorful Counter Example
Can Curtis Afford His Sports Gear?
Unveiling the Derivative of tan(x)
Unlocking the Mystery of ln(x): The Natural Logarithm
Concave Up and Concave Down: Understanding Curve Behavior
Proof by Contradiction: A Powerful Proof Technique
Understanding Turning Points in Calculus
Understanding Connected Rates of Change
Converting Fractions to Decimals: A Simple Guide
Diving into Fibonacci: Finding the 9th Term
Solving Exponential Equations: A GCSE Higher Challenge
Level Up Your Indices Game: Tackling Harder Higher Questions
Speed Conversions: Kilometres Per Hour to Metres Per Second
Solving Simultaneous Equations: Beans and Jam
Mastering Percentages: Calculating 234% of 150
Yard to Centimetre Conversion: A Handy Approximation
Sweet Treat Math: Calculating the Cost of Chocolate
Solving a Crowd Conundrum: How Many Boys Cheered at the Rugby Match?
Simplifying Algebraic Expressions: Multiplying Terms
Rounding to the Nearest 100: A Simple Guide
Unlocking the Secrets of Change: What is Differentiation in Maths?
The Maths Mountain: Navigating the Challenges
Cracking the Code: Finding Specific Coefficients in Binomial Expansions
Unlocking Quadratic Secrets: The Power of the Discriminant
Pascal’s Triangle: More Than Just a Pretty Pattern
Unlocking Percentage Problems: Counters in a Bag
Simplifying Algebraic Expressions: Combining Like Terms
Scaling Up Recipes: Baking Biscuits with Harry
Calculating the Mean: A Quick Guide
Estimating Football Ticket Revenue
Plate Calculations: Can Max Afford the Deal?
Why 50° is NOT an Obtuse Angle (And Why It Matters!)
Weathering’s Coastal Canvas: Shaping Our Shorelines
Water Stores: Are Humans the Biggest Influence?
Understanding Eustatic Sea Level Change: A Global Perspective
The Carbon Cycle: Nature’s Balancing Act and Its Impact on Life
The Water Cycle: A Vicious (But Natural!) Circle
UK vs. Australia: Is the Grass Greener for Blake’s Paycheck?
Checkmate to Time Troubles: Figuring Out Chess Match Start Times
Decoding Ratios: Finding the Fraction of Green Counters
Dog Food Dilemma: Calculating How Long That Bag Will Last!
Miklos’s Swimming Challenge: Calculating the Final Stretch
Cracking the Code: Understanding Place Value and the Digit 9 in 27.963
Venturing into Negative Territory: Numbers Less Than -5
Rounding to the Nearest Hundred: A Simple Guide
Decoding Percentages: How to Turn 35% into a Decimal
Speed Demons: Calculating Race Times
Mixing It Up: Ratios and Paint!
Squaring Up to Success: Finding Square Numbers
Unlocking Algebraic Expressions: Expanding and Simplifying
Cracking the Code: Finding Factors of 18
Book Preferences: A Mystery in Numbers!
Martha’s Spending Spree: A Percentage Problem
Turning Decimals into Fractions: A Simple Guide with 0.9
Leveraging Moments: Understanding the Theory Behind Equilibrium
Unlocking the Secrets of the Binomial Distribution
Decoding the Critical Region: A Key to Hypothesis Testing
Two Tails or Not Two Tails? Choosing the Right Hypothesis Test
Understanding the Significance Level: Your Guide to Hypothesis Testing
Crafting Your Hypotheses: A Key Step in Hypothesis Testing
Beyond the Plateau: Understanding Non-Stationary Points of Inflection
Understanding Stationary Points of Inflection
Unlocking Curves: The Power of the Second Derivative
Decoding dy/dx: Your Gateway to Calculus
Calculating Profit: A Charity Party Example
Speed, Time, and Distance: Mastering the Basics
Solving Simultaneous Equations: A Flour and Sugar Scenario
Understanding Ratios: Red and Blue Counters Edition
Figuring Out Your Hourly Rate: A Simple Calculation
Quick Maths: Finding 50% of 240
Percentage Problems: Did Shah Pass His Exam?
Solving Measurement Problems: Oil in a Can
Solving Percentage and Payment Problems: Steve’s New Car
Calculating Costs: Chloe’s Scrunchy Business
Probability Basics: Counters in a Bag
Simplifying Algebraic Expressions: A Quick Guide
Spotting the Double Angle: When to Unleash the Formula!
Sharing and Spending: A Percentage Problem
Logs and Indices: An Inseparable Pair in Mathematics
Unlocking Geometric Sequences: Finding the Common Ratio
Integration and the Power of Indices: When to Unleash the Rules!
Beyond Downtown: What Exactly is an Edge City?
Ditch the Drain: Why Sustainable Urban Drainage Systems (SUDS) are the Future
Beyond Pavement: Why Tackling Urban Inequality Demands a People-and-Planet Approach
Cracking the Chain Rule: Your Key to Differentiating Composite Functions
The derivative of $a^x$ is $a^x \ln(a)$
Logarithm Differentiation: Unlocking the Secrets of Logarithmic Functions
Exponential Growth in Calculus: Mastering Exponential Differentiation
Conquering Calculus: Differentiating cos(x) Made Easy
Unleashing the Power of Calculus: Differentiating sin(x)
Unlocking Efficiency: Understanding Internal Economies of Scale
Decoding the “Long Run” in Economics: It’s Not Just About Time
Lighting Up a Debate: How Indirect Taxes Affect Cigarette Consumption
Demerit Goods: Why We Need Nudging (and Maybe More)
Why Your Dream Home Isn’t Found in a Perfectly Competitive Market
Unlock Logarithms: Mastering the Log Rules
Deriving the Integration by Parts Formula
Define ‘price elasticity of demand’
The Formation of Rift Valleys: A Geographical Insight
Assessing the Role of Climate in Fluvio-Glacial Landscape Formation
Unveiling the Characteristics of Patterned Ground
Understanding Nivation: A Unique Geomorphological Process
Exploring Periglacial Areas: Key Characteristics
Understanding Significant Figures: Rounding 90437 to Two Significant Figures
Mastering Significant Figures: Rounding 37.62 to One Significant Figure
Rounding 5829 to the Nearest Thousand: Simplified
Rounding 376 to the Nearest Hundred: A Quick Guide
How to Round 6.47 to One Decimal Place
Solving One-Step Equations: A Quick Guide
Differences Between Saturated and Unsaturated Fatty Acids
Describe how you would test for the presence of a lipid in a sample of food
The income elasticity of demand for cheese sandwiches is –1.2. This means that cheese sandwiches
What can be concluded about healthcare in the UK?
How far do you agree that human activity has a greater role than natural processes in shaping coastal landscapes?
Assess the view that wind is the biggest factor in determining the impact of energy in coastal environments.
Completing the Square: A Powerful Technique
Okay, here’s a short blog post about SOH CAH TOA, including the requested anchor text:
Place Value: It’s More Important Than You Think!
Understanding Decimals: A Key Component of Mathematics
Mastering Time Calculations
A good is in joint demand when it is
Understanding Integration by Parts: A Simple Introduction
Mastering Addition of Fractions: A Quick Guide
Understanding Logarithm Rules: A Beginner’s Guide
Understanding the Structural Differences Between Triglycerides and Phospholipids
One week, a business has to pay £80 interest for its loan, £95 for raw materials and £210 on rent. If the business has no other costs, what are its fixed costs for that week?
What is a source of monopoly power?
Understanding the Structural Differences Between DNA and mRNA
Probability and Combinations
Understanding the Derivative of $tan(x)$
Understanding sec(x): A Key Concept in Trigonometry
Finding the Highest Common Factor (HCF) of 156 and 130
Does Shah Pass the Exam? Let’s Break It Down!
Steve’s Car Purchase: A Simple Math Problem
Chloe’s Scrunchie Adventure: Crafting with Care
Calculating Leftover Oil: A Quick Math Problem
Understanding Work Out 1/5 of 300
Understanding the Range of a Set of Numbers
Simplifying Expressions: A Quick Guide to 3 × a × 4
Understanding Subtraction: Work Out 120 – 89
Which one of the following is the most likely outcome of greater division of labour in a tractor factory?
How to Tackle Ratio Questions
Understanding Parametric Equations
How to Pass Exams After Previous Setbacks
Tackle the MEI Pure and Comprehension Paper with Confidence
Effective Revision Strategies for Exam Success
Understanding the Divisibility of Consecutive Even Numbers
Understanding Consecutive Odd Numbers and Prime Numbers
Understanding Proof by Counterexample
Understanding Proof by Exhaustion: A Clear Example
Proving Mathematical Identities: A Simple Guide
Understanding Proof by Deduction: A Key Concept in Mathematics
Understanding Median Income: A Comparison Between Country W and Country Z
The Carbon Cycle and the Growing Threat of Severe Storm Events
Understanding Photosynthesis in the Carbon Cycle
Understanding Deceleration in Jet Aircraft
Understanding the Role of Jet Engines and Deflector Plates in Aircraft Landing
The Force of Air on an Engine: Understanding the Basics of Motion
Understanding Ions and Electron Configurations: The Case of the 2+ Ion with Krypton Configuration
Understanding the Formation of the Complementary Strand of HIV DNA
Understanding Electron Configurations: Aluminum and Chromium Ions
Understanding HIV Infection in Human Cells
The Value of Visitor Centres in Nature Reserves: A Government’s Perspective
Understanding the Fall in Long-Run Average Costs for Soap Manufacturers
Understanding Barriers to Potyvirus Entry in Sweet Potatoes
Minimising the Spread of Plague: Two Effective Strategies
Malaria and Dutch Elm Disease: A Tale of Two Transmissions
Understanding Coastal Recession in North Norfolk: Evidence for Different Management Approaches
The Rapid Spread of Fungus in Elm Populations: Two Key Factors
Evaluating the Threat of Tourism to Glaciated Landscapes
Understanding Community Vulnerability to Tectonic Hazards
The Impact of Glacial Meltwater on Landform Creation
A curve C has parametric equations
Understanding the Mass Balance of Temperate Glaciers
Tips for Revising Differentiation and Integration
Understanding Atherosclerosis and Its Impact on Heart Muscle Health
The Mer de Glace: A Glacial Indicator of Climate Change
The Sum of Two Consecutive Prime Numbers is Always Even
Understanding the Role of LDLs in Atherosclerosis Development
Understanding Cardiovascular Disease: Beyond BMI and Diabetes
Understanding the Range of Validity in Binomial Expansion
The Role of Diet in Cardiovascular Disease Development
Understanding the Link Between High Blood Pressure and Cardiovascular Disease
Understanding NCR Notation: The Essentials of Combinations
Understanding Factorial Notation: A Key Concept in Mathematics
Arithmetic Sequences and Simultaneous Equations
What is Pacal’s Triangle?
A virus is spreading
Sigma Notation
The sum to infinity
Recurrence Relations
Derive the sum formula for a geometric series
What is a geometric series?
What is a geometric sequence?
How to solve questions involving arithmetic series
Formula for an arithmetic series
What is an arithmetic series?
What is an arithmetic sequence?
When does a sequence decrease?
When does a sequence increase?
What is a sequence? What is a series?
There are 56 metal bars
Finding Highest Common Factors
Working with discounts
Joshua buys a car
Indices, Integration & Limits
Indices and integration
Finding the equation of a circle
The circle: radius and centre
Working with angles and parallel lines
Making $x$ the subject
Show that for Triple Brackets
Change 48 cm to mm.
Differentiation from 1st principles
Change 1.6 kilometres to metres.
Change 2580 grams to kilograms.
Finding a coordinate given a length
Write the following numbers in order of size.
Rationalising Surds
Write down a 6 digit number that has 8 as its hundreds digit.
Rewriting Powers
Write down a 5 digit number that has 3 as its thousands digit.
Solving surd equations
Write down the value of the 5 in the number 583.2
Simultaneous equations and geometry
Triple Brackets
The Value of 8
Working with surds
Straight Line Geometry: Some Basics
Treat it like a quadratic
Working with stealth quadratics
Tackling more complicated indices questions
Write 156 as a product of its prime factors.
Applying multiple rules of indices
Differentiating with fractional powers
Indices and power 0
Work out 6.3×2.4
Simplify $(16a^{12})^{\frac{3}{4}}$
For $(k+1)x^2 + 12x + (k-4) = 0$
Find the values of $k$
Complete the square for $x^2 - 4x + 9$
Differentiate the function k(x) = sin(x)cos(x) using the product rule.
If h(x) = 3cos(5x – pi), what is h'(x)?
Find the derivative of g(x) = tan(x^2)
Differentiate the function f(x) = sin(2x) .
Understanding the Coefficient of Friction
Given that the point (1, 8) lies on y = f(x)
Integration of a polynomial
Work out the value of x. Give your answer to 1 decimal place.
Phil invests £800 for 3 years in a bank account.
The straight line L has equation 3y = 4x + 7
Richard gets a bonus of 30% of £130
Tea bags are sold in small boxes and large boxes.
An adult cinema ticket costs £x
Prove that $\tan^2 \theta = \sec^2 \theta - 1$
Vertically opposite angles
A stone is dropped from a point 120 m from the ground
Negative correlation
The point P has coordinates (3, 4)
Positive correlation
Perpendicular lines
Prove that the sum of the squares of two consecutive odd integers is always 2 more than a multiple of 8.
Parallel lines
To find the mid-point of a line
Convert a decimal to a %
Express $8^{2x+3}$ in the form $2^y$
Simplify $32\sqrt{2} = 2^a$
Simplify the expression $x(2x^{-\frac{1}{4}})^4$
Find the value of $16^{\frac{1}{4}}$
$f(x) = 2x^3 - 7x^2 - 17x + 10$
Convert a fraction to a decimal
The trigonometric ratios
Pythagoras’ Theorem For a right angled triangle
Arc length
A film starts at 7.45 pm.
A fair coin is tossed three times. What is the probability that at least one of the tosses shows heads, given that the last toss is heads?
Hayley left her home at 10.40 am.
A particle starts from rest and moves with constant acceleration 0.5 ms-2 in a straight line.
The line H has the equation y = – (½)x + 4.
A line passes through the point E(1, -2) and has a gradient of 3.
If line F has the equation y = 2x + 5, find the equation of a line parallel to line F that passes through the point G(4, 1).
Given the points A(2, 3) and B(5, 11), calculate the gradient (slope) of the line segment AB.
Effective Strategies for Using Exponentials and Logarithms
Understanding Exponentials and Logarithms for Success
The Essential Role of Exponentials and Logarithms
Solve 5^(4x – 1) = 61
Unlocking the Secrets of Exponentials and Logarithms
A Comprehensive Guide to Exponentials and Logarithms
Equations of motion
Show that $\frac{1}{\cos \theta}+\tan \theta \equiv \frac{\cos \theta}{1-\sin \theta}$
Speed
Displacement
A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red given that it is not blue?
Find the length of the line segment connecting the points C(-4, 1) and D(2, -3)
Explain why internet usage in sub-Saharan Africa is low compared to the rest of the world.
Differentiate y = 3e^(2x)
Explain two ways in which TNCS promote globalisation.
Assess the extent to which the globalisation of trade can bring problems as well as benefits.
Using examples, assess the changes brought by globalisation to one emerging country.
Assess the economic and social impacts on TNC’s on emerging countries
Discuss y = e^x
How Tutoring Can Enhance Your Performance in MEI, AQA, and Edexcel Exams
Choosing the Right Tutor for MEI, AQA, and Edexcel: A Comprehensive Guide
Volume of a Pyramid
Volume of a prism
A particle is moving in a straight line with constant acceleration 0.2 ms-2
A particle is moving in a straight line with constant acceleration.
The sum of the interior angles of a polygon can be found by using the formula
Using examples, explain why some countries are more globalised than others
Area of a sector
The Power of Numbers: Why Every Student Should Focus on Number Work
From Fractions to Percentages: Navigating the Number Work Essential for Maths
The Role of the Coefficient of Friction on Horizontal Planes in A Level Problem Solving
Practical Examples of the Coefficient of Friction in Real-Life Scenarios
Common Misconceptions about the Coefficient of Friction
Numerical Methods Demystified: How to Tackle Complex Problems with Confidence
Step-by-Step Guide to Common Numerical Methods:
Why Numerical Methods Matter: Bridging Theory and Real-World Applications
From Bisection to Newton-Raphson: Unlocking the Power of Numerical Methods
Mastering Numerical Methods: Essential Techniques for Success
Why Two-Tailed Tests Matter: The Importance of Significance Levels in Hypothesis Testing
Mastering Hypothesis Testing: Key Insights into Two-Tailed Tests
Two-Tailed Tests Explained: Demystifying Hypothesis Testing for Students
Understanding Two-Tailed Tests: When and How to Use Them in Hypothesis Testing
Suggest two reasons why the size of global trade flows varies.
Exploring the Coefficient of Friction on Inclined Planes: A Comprehensive Guide for Students
Surface area of a prism
Suggest two reasons why there will be projected changes in a countries GDP by 2050.
How do economies of scale help a firm compete?
Define economies of scale
Explain how higher productivity can help a firm compete in a competitive market
RPI excludes top 4% income households
Building a Strong Foundation: How Number Work Sets the Stage for Maths Success
Why Mastering Number Work is Key to Thriving in Maths: Tips and Techniques
Unlocking Success: The Essential Role of Number Work
Area of a circle
Circumference of a circle
Surface area of a cylinder
Navigating Two-Tailed Tests: Your Essential Guide to Hypothesis Testing
From Physics to Psychology: The Fascinating Science of Friction and Its Impact on Human Behavior
Friction in Relationships: How Tension and Resistance Can Fuel Connection
Smooth Sailing or Rough Waters? Understanding the Role of Friction in Mechanical Design
The Hidden Forces: How Friction Shapes Our Daily Lives and Technology
Effective Strategies For Revision During Easter Break
Top Resources for Mathematics Revision
How to Create A Revision Timetable for Easter
Explain the term ‘liberalisation’ of trade
Explain how technology has contributed to the process of globalisation
For a named emerging country, assess how far it has benefited from globalisation.
Explain how Rostow’s model can be used to explain the development of a country.
Explain three ways by which a firm can increase its productivity
Explain the difference between production and productivity
RPI vs CPI
More Info on the CPI (Consumer Price Index)
Speed and Velocity
Surface area of a prism
Pyramid
The Importance of Past Papers
Key Topics to Focus on During Revision
Tips for Staying Motivated While Revising
The Role of Study Groups in Revision
How to Use Online Tools for Revision
Balancing Relaxation and Revision: A Guide for Students
Common Mistakes to Avoid During Revision
How to Assess Your Progress in Maths
Explain how changes in technology have speeded up the process of globalisation
Assess the extent to which globalisation is responsible for environmental degradation in developing and developed countries.
For a named developing country, assess how far patterns of trade have affected its economic development.
Explain one physical factor that can prevent development progress in a country.
Volume of a cylinder
What is revenue and how is it calculated?
Use an example to explain what is meant by variable costs
Use an example to explain what is meant by Fixed Costs
Living Costs and Food Survey
More Info on the RPI (Retail Price Index)
Volume of a prism
Volume of a cuboid
Area of a trapezium
Area of a triangle
Area of a parallelogram
The Benefits of Teaching Concepts to Peers
Incorporating Mind Maps Into Revision
The Impact of Past Papers on Exam Success
Preparing for Exams: Essential Revision Techniques
Integrate x^2 – 5x + 4
What units do we measure inflation in?
What is negative inflation?
Area of a rectangle
Volume scale factor
Area scale factor
Triangles are similar if…
f(x) = (3x – 2)(x – k) – 8 where k is a constant. (a) Write down the value of f (k).
If f(x) = x^3 + 2x^2 – 8x + 5. Find f”(x).
f(x) = 2x^3 – 3x^2 – 39x+ 20 (a) Use the factor theorem to show that (x + 4) is a factor of f (x).
What is positive inflation?
Measuring Inflation
Given y = 5×4 – 24×3 + 42×2 – 32x + 11. Find the second derivative.
Explain how the growth of a global culture may help improve opportunities for disadvantaged people in developing countries.
Explain two reasons in which individual states can benefit from trade bloc membership
Explain why HDI level varies between the differing countries.
The Role of Universal Basic Income in Reducing Poverty: A Comprehensive Analysis
Evaluating the Effectiveness of the Minimum Wage Policy in Alleviating Poverty
The four congruency tests
Regular polygons
The sum of the interior angles of a polygon
The interior and exterior angle of any polygon
Exterior angles of a polygon
Angles in a quadrilateral
Angles in an equilateral triangle
Two angles of an isosceles triangle
Angles in a triangle
Find dy/dx when y = (x +4)/(2 + x^(0.5))
The curve C has the equation y = 1/2x^3 – 9x^3/2 + 8/x + 30, find dy/dx. Show that point P(4, -8) lies on C
Find the derivative of yx+5y-sin(y) = x
Calculate the indefinite integral of ln(x)
Given f(x) = 7(e^2x) * (sin(3x)), find f'(x)
Define shrinking world
Assess the view that globalisation inevitably damages the physical environment.
Explain the population structure of one developing country.
Describe two indicators that show a country’s level of development
How Education Policies Can Break the Cycle of Poverty
The Impact of Housing Policies on Low-Income Families
Government Welfare Programmes: Are They Sufficient to Combat Poverty?
The Importance of Healthcare Access in Addressing Poverty
Taxation Policies: A Tool for Poverty Reduction?
Explain one reason why the global shift of industry has had negative impacts on some people in the developed world.
Explain how rapid globalisation has created political tension in some locations.
Co-interior angles
Corresponding angles
Alternate angles
Angles at a point
Angles on a straight line
Vertically opposite angles
Work out 2/7 + 1/5
Sam buys 20 boxes of oranges.
Paul organised an event for a charity.
There are only black pens and green pens in a box.
There are 3 red beads and 1 blue bead in a jar. A bead is taken at random from the jar. What is the probability that the bead is blue?
Work out 15% of 80
How do you integrate the natural logarithm?
Prove that (root)2 is irrational
Differentiate 5^x
The curve C, with equation y = x(4 – x), intersects the x-axis at the origin O and at the point A, as shown in the diagram above.
Express x^2 – 6x + 18 in the form (x – a)^2 + b, where a and b are integers.
A circle has diameter d, circumference C, and area A. Starting with the standard formulae for a circle, show that Cd = kA, finding the numerical value of k.
What is the large data set?
Explain why earthquakes happen on collision plate margins. You may draw a diagram to help with your answer.
Assess the primary and secondary impacts of earthquakes on both developed and developing countries
The Role of Local Government in Implementing Poverty Alleviation Strategies
How Employment Policies Influence Poverty Levels in Urban Areas
Assessing the Effectiveness of Child Benefit Programs in Alleviating Child Poverty
Suggest one impact of TNCs on local people’s culture
Assess the impacts of volcanic eruptions on both developed and developing countries.
One day Sally earned £60. She worked for 8 hours. Work out Sally’s hourly rate of pay
Tanya needs to buy chocolate bars for all the children in Year 7
Write down all the factors of 20
Write down the 20th odd number.
Write 0.037 as a fraction.
Exam Structure – Maths AQA
Parametric Equations of Circles
Exam Structure – Maths OCR
Conditions for a stationary point of inflection
Suggest two reasons why some plate boundaries are more hazardous than others
Explain one of the characteristics of divergent plate boundaries.
Explain the properties of two Earth’s internal layers
State and explain three main business objectives
Understanding Sample Means: A Comprehensive Guide to Hypothesis Testing with the Normal Distribution
The Role of the Normal Distribution in Sample Means Hypothesis Testing: Key Concepts Explained
Step-by-Step Approach to Conducting Hypothesis Tests for Sample Means Using the Normal Distribution
Common Pitfalls in Sample Means Hypothesis Testing: Navigating the Normal Distribution
What is a subsidy?
Explain some of the factors that influence the price elasticity of supply for a product
What is meant by price elasticity of supply?
A film starts at 7.45 pm. The film lasts 98 minutes. What time does the film finish?
Hayley left her home at 10.40 am. She walked from her home to the shop. It took her 14 minutes to walk to the shop.
Work out the difference, in minutes, between 2 hour 25 minutes and 1.5 hours.
BIDMAS and Algebra
Real-World Applications of Sample Means Hypothesis Testing with the Normal Distribution in Various Fields
Exploring the Fundamentals of A Level Vectors in 3D: Understanding the i, j, and k Components
The Importance of the i, j, and k Plane in 3D Vector Mathematics
Practical Applications of A Level Vectors in 3D: A Focus on the i, j, and k System
Visualising 3D Vectors: How the i, j, and k Plane Enhances Spatial Understanding
Explain one difference between oceanic and continental crust.
Assess the success of different methods of cyclone prediction and warning systems in a named developing country.
Explain two methods of cyclone prediction and warning system in a developed country
A firm’s product has price inelastic demand. Explain what will happen to the firm’s revenue if it puts its price up
Explain the difference between price elastic and price inelastic demand
The Effects of Economic Growth on Poverty Reduction: A Policy Perspective
The Intersection of Social Security and Poverty: A Policy Overview
Common Misconceptions in A Level Vectors: Clarifying the Role of i, j, and k in 3D Geometry
BIDMAS and Fractions
Using BIDMAS
Midpoint and Length of a Line Segment
Parallel and Perpendicular Lines
Converting Between Forms of Straight Line Equations
How Food Security Policies Can Combat Poverty
The Implications of Brexit on Poverty Reduction Strategies in the UK
Gender and Poverty: The Role of Government Policies in Addressing Inequality
Subtraction
Addition
Write down the value of the 5 in the number 59,182.
Equation of a Straight Line
Straight Lines
Solving Modulus Equations Algebraically
Describe two different ways disadvantaged groups have benefited from the spread of global culture.
The Relationship Between Climate Change Policies and Poverty Alleviation
Solving Modulus Equations Graphically
Exploring the Effect of Financial Inclusion Policies on Poverty Rates
Graphs of Modulus Functions – Quadratics and Cubics etc.
Graphs of Modulus Functions – Straight Lines
Modulus Notation
Write the number 5.3 million in figures.
The Modulus Function
Explain one reason why the global shift of industry has had negative impacts on some people in the developed world
How Digital Government Services Can Aid in Poverty Reduction
Write down a 6 digit number that has 8 as its hundreds digit. You can only use the digit 8 once.
Expressing Fractions as Partial Fractions
Assess whether the economic benefits of globalisation always outweigh the social costs.
Poverty and Mental Health: Government Responses and Strategies
Case Studies of Successful Government Policies in Combating Poverty Worldwide
Write down the value of the 7 in the number 204.7
Place Value: Decimals
Place Value: Large Numbers
Place Value
Types of Numbers
Types of Partial Fraction
Partial Fractions
Expanding Polynomial Brackets
Polynomials
Explain how rapid globalisation has created political tension in some locations
The North-South Divide
Dividing the World
The factors that shift supply can be remembered using the mnemonic PINTS WC. What are each of these factors and how does each affect the supply curve?
What is an inferior good?
A more equal distribution of income
Equilibrium in Balance of Payments
Low unemployment
Surds
Define supply
The factors that shift demand can be remembered using the mnemonic PASIFIC. State and explain each of these factors and how they affect demand
Control of inflation
Sustainable economic growth (actual growth)
How do we measure the Development Gap?
What is the Development Gap?
Define demand
Explain two reasons why monopoly can be good for society
What are the current Macroeconomic Objectives?
Describe the market structure for the supermarket industry in the UK. Give reasons for your answer.
Negative Powers Law
Fractional Powers Law
Multiples and Factors
Rational Numbers
Common Conversions
Standard Form and Converting Units
Prefixes
Describe two different ways disadvantaged groups have benefited from the spread of global culture. (4)
Suggest one impact of TNCs on local people’s culture
Special Integers
Integers vs Non-Integers
Irrational Numbers
Roots as Powers Law
Power 0 Law
Multiple Powers Law
Division Law
A shop sells jars of coffee. Each jar of coffee costs £4. Michael has £23.
Assess the view that globalisation inevitably damages the physical environment
Multiplication Law
Surds and Double Brackets
Simplifying Surds
Dividing Surds
Adding and Subtracting Surds
Multiplying Surds
Cubics Example Questions
Solve m − 3 = 4
Solve 3n + n = 24
Fay is planning a trip to a theme park for 1 adult and 2 children.
Derived Units
Fundamental (Base Units)
Squaring Surds
SI Units and Prefixes Revision
Explain one reason why the global shift of industry has had negative impacts on some people in the developed world.
Simplify 3 × w × 5 × t
Write down a factor of 60 that is between 8 and 14
Cubic Graphs
Factorising Cubics using the Factor Theorem
Factorising Cubics given 1 Factor
Assess the impacts of rural-urban migration on the wellbeing of people in cities in developing countries
Explain why the global shift in manufacturing and services has made some people ‘losers’
Explain one difference between oceanic and continental crust. (3 marks)
Work out 3^2
Write 0.3 as a fraction.
Write (9×10^4 ) : (4.5 ×10^6 ) in the form 1 : n where n is an integer
Explain two methods of cyclone prediction and warning system in a developed country. (4 marks)
Assess the success of different methods of cyclone prediction and warning systems in a named developing country. (8 marks)
Explain two reasons why monopoly can be bad for society
Explain three ways by which a firm can achieve monopoly power
What is monopoly power?
What is meant by contestability?
What are some barriers to entry?
What is Laminar Flow?
A solid cuboid is made of metal.
Lava flows from a volcano at a constant rate of 11.9m^3/s.
A and B are numbers such that A = 22 ×34 ×7 B = 32 ×72
It takes 14 hours for 5 identical pumps to fill a water tank.
Jonny wants to know how much coffee he will need for 800 people at a meeting.
What is the second derivative?
Explain two national government policies that have assisted economic growth in some countries
Assess the social and economic impacts of tropical cyclones on developing countries. (8 marks)
What is a monopoly?
Give examples of market structures
Expand 4p ( p^2 + 3p)
Simplify x^5 × x^8
Simplify (m^2)^ 3
Jenny invests £3000 for 6 years at y% simple interest per year.
Solve 4(2x – 3) = 20
There are only red beads and green beads in a bag
120 boxes cost £6 270 bags cost £10
Gabriel thinks of a number.
Wayne begins walking at 830 am.
A geyser is a hot spring which erupts from time to time.
A magazine has a large number of subscribers who each pay a membership fee that is due on January 1st each year.
Assess the role of trade blocs in contributing to the growth of both the global economy and national economies.
Explain one advantage and one disadvantage to a firm of operating in a competitive market
What is the objective of a firm?
7, –5, 3, 9, –2. Write these numbers in order of size. Start with the smallest number.
Explain what you understand by (i) a population and (ii) a sampling frame.
Before introducing a new rule the secretary of a golf club decided to find out how members might react to this rule.
Each cooker produced at GT Engineering is stamped with a unique serial number
Explain how levels of globalisation can be measured using different indicators and indices
Explain one reason why people from a developed country could be vulnerable to flooding. (2 marks)
Why does competition drive a firm to become more efficient?
What is the price elasticity of supply?
What is Hooke’s Law?
What is Elastic Limit?
Change 4000 grams into kilograms.
Simplify m + m + m + m
Explain what you understand by a census.
A random sample X1, X2, … Xn is taken from a population
Explain two causes of tropical cyclones. (4 marks)
What factors will shift a demand curve?
Explain one hazard brought by tropical cyclones.
What is price elasticity of demand?
What is Elastic Deformation?
What is ductile?
What is density?
Write 3/10 as a percentage.
Write the number three thousand one hundred and seven in figures
A toy boat of mass 1.5 kg is pushed across a pond, starting from rest, for 2.5 seconds.
A bag contains a large number of coins. It contains only 1p and 2p coins in the ratio 1:3.
Explain what you understand by (a) a population, (b) a statistic.
Explain why one political factor and one social factor might cause some countries to be ‘switched off’ from globalisation’
Explain two reasons why the predictions of future global temperatures are uncertain.
What is a competitive market and why is this good for consumers?
What factors may shift a demand curve?
Density
Ductile
Zoe tries to push a box of mass 5 kg along a rough horizontal floor.
State an example of a composite index using development
Explain two benefits and two costs of specialisation to workers
A curve has equation x^3 + 2xy + 3y^2 = 47
Differentiate 2x^3 + 9x^2 − 24x.
Given that the straight line passing through the points A (2, −3) and B (7, k) has gradient 3
There are 48 counters in a bag.
Brittle
Balanced government budget
Assess the extent to which emerging countries need both ‘hard’ and ‘soft’ power to extend their global influence
The line with equation 2x − 3y + 5 = 0 is perpendicular to the line with equation 3x + ky − 1 = 0.
The vertices of a triangle are the points A (−6, −3), B (4, −1) and C (3, 4).
The points A (−2, 7) and B (6, −3) lie at either end of the diameter of a circle.
Asha buys 180 cans of cola.
Breaking Stress
Explain one reason why the scale of economic migration has increased
Stable balance of payments on current account
Paulo drives at an average speed of 56 km/h for 1 hour 45 minutes. Work out the distance Paulo drives.
Archimedes’ Principle
The line l has the equation 5x − 18y − 30 = 0.
The points P (22, 15), Q (−13, c) and R (k, 24) all lie on a circle, centre (2, 0)
The point with coordinates (4p, p^2 ) lies on the line with equation 2x − 4y + 5 = 0. Find the two possible values of the constant p.
Assess the impact of TNCs on creating both winners and losers for people and environments
Discuss Price stability
The point M (k, 2k) lies on the line with equation x − 3y + 15 = 0. Find the value of the constant k.
Packets of sweets are put into boxes.
There are 50 teachers in a school. This is 1/16 of the total number of people in the school. Work out the total number of people in the school.
A circle has centre C (–4, 3) and passes through the origin.
What does the gradient of a velocity time graph represent?
Explain why globalisation results in cultural erosion in some parts of the world
Discuss Minimising unemployment
Determine for what values of k the graphs y = 2x^2 − kx and y = x^2 − k intersect.
The circle (x − 3)^2 + (y − 2)^2 = 20 has centre C. i. Write down the radius of the circle and the coordinates of C. ii. Find the coordinates of the intersections of the circle with the x- and y-axes
A sector of a circle has radius 12.6 cm. Given that the perimeter of the sector is 31.7 cm, find its area.
Here are the first five terms of a sequence. 3 8 13 18 23 (a) Write down the next term of this sequence.
Here is a list of numbers. 20 40 60 80 100 One of these numbers is a multiple of 25 Which number?
Discuss Economic growth
Explain one hazard brought by tropical cyclones
What does the gradient of a displacement time graph represent?
Simplify 3 × 4t
Change 9 metres into centimetres.
Write 0.7 as a fraction.
Write 6184 correct to the nearest hundred.
Write down the exact value of cos 60°
Work out the value of [4^(-6) x 4^9]/4
A cube has a total surface area of 150cm^2. Work out the volume of the cube.
There are 200 counters in a bag. 38 counters are red.
PQ is an arc of a circle of radius 8 cm, centre O.
A sector of a circle has angle 1.5 radians and area 27 cm^2 . Find the perimeter of the sector
Show that the equation sin^2(x) = 3cos x − 2 can be expressed as a quadratic equation in cos x and hence solve the equation for values of 3^x between 0 and 2π.
Solve the equation 2 sinθ = −1 giving your answers in terms of π.
Define the small angle approximations for sinx, cosx and tanx.
How to work out arc length?
How to convert from degrees to radians?
What are Radians?
Solve the equation 4 tan θ tan 2θ = 1
Express 6 cos 2θ + sinθ in terms of sinθ. Hence solve the equation 6 cos 2θ + sinθ = 0
Write cos^(2)x in terms of cos 2x
Express 7cosx − 24sinx in the form R cos(x + α) and write down the range of the function.
On Friday, 500 people watched a film at the cinema. 70% of these people were children.
Factorise 8d – 6
Simplify 19 + 5b + 4c – 7b + c
Here are 6 numbers. 13, 5, 4, 9, 3, 8 Work out the mean.
Write down three different factors of 20
Solve p – 2 = 3
Here is a list of numbers. 1.6 1.4 2.1 0.5 1.3 From the list, write down the smallest number.
Write down the exact values of tan 45° and tan 60°.
Determine the set of values of k for which the curve y = k + 2 cos x + 3 sin x lies completely above the x-axis.
Express cosθ + 2sinθ in the form R cos(θ −a)
Show that the equation cos θ − 3 sin θ = 4 has no solution.
Express cos θ − 3 sin θ in the form R cos(θ + α)
Show that the equation (tanθ/cosθ) = 1 may be rewritten as sin θ = 1 − sin^2(θ)
Solve the equation cos 2θ = 0.3 for 0° ≤ θ < 360°.
Given that arcsin x = arccos y, prove that x^2 + y^2 = 1.
Solve the equation tan 2θ = 3 for 0° < θ < 360°.
The sides of a triangle are of length 47, 53 and 94 units. Calculate the size of the largest angle.
A triangular field has sides of length 100 m, 120 m and 135 m. Find the area of the field.
The curve with equation y = 3x − ln x passes through the point P (1, 3). Find an equation for the normal to the curve at P.
The equation y = e^x + x^2 − 4. The curve intersects the y-axis at the point A and has a stationary point at B.
Understanding the Unit Circle: A Comprehensive Guide to Trigonometric Functions
Solving Real-World Problems Using Trigonometry
A Step-by-Step Approach to Mastering Trigonometric Identities for GCSE Higher Maths
The Importance of Angles: Exploring Sine, Cosine, and Tangent in GCSE Trigonometry
Revision Strategies for Trigonometry: Tips and Resources for Success
Joe has a bucket containing 1370 cm^3 of water measured to the nearest 10 cm^3 .
What does the gradient of a distance time graph represent?
What must always be true when using SUVAT equations?
Explain why it was necessary to assume that ‘compared with the speed of sound,
Using Gassendi’s value for the speed of sound, calculate the time between
Suggest an experiment that will demonstrate the wave nature of sound
State and explain one precaution that should be taken when using laser light
Assess the extent to which ethical consumption trends may have reduced the negative consequences of globalisation.
Assess the extent to which globalisation is responsible for environmental degradation in developing and developed countries
Explain how the growth of a global culture may help improve opportunities for disadvantaged people in developing countries.
Explain two reasons in which individual states can benefit from trade bloc membership.
Define a shrinking world.
‘Most global warming is caused by carbon dioxide from a few rich, developed countries’. Assess this statement.
Give an equation, including state symbols, to represent the process that occurs when the third ionisation energy of sodium is measured.
There is a general trend for an increase in ionisation energy across Period 3.
Identify the element in Period 3, from sodium to chlorine, that has the largest atomic radius.
Give the formula of a hydroxide of an element in Period 3 used in medicine.
An element in Period 3 forms an oxide that is insoluble in water.
The equation y = 3x + ln x − x^2 and the line y = x. Given that the curve and line intersect at the points A and B, show that a the x-coordinates of A and B are the solutions of the equation x = e^(x^2 – 2x)
f(x) = 2x^3 + 4x − 9. a Find f ′(x). b Hence show that the equation f(x) = 0 has exactly one real root.
f(x) ≡ e^(5 − 2x) − x^5 . Show that the equation f(x) = 0 a has a root in the interval (1.4, 1.5)
f(x) ≡ 4 cosec x − 5 + 2x. a Find the values of f(4) and f(5). b Hence show that the equation f(x) = 0 has a root in the interval (4, 5).
Show that the equation x^3 − 7x − 11 = 0 has a real root in the interval (3, 4).
What is the trapezium rule?
What is the formula for Newton Raphson?
What is the Newton Raphson Method
When does change in sign fail?
What is iteration?
Show that y = sinx + x^4 – lnx – 5x has a root in the interval [1,2]
The distance from Sarah’s house to Peter’s house is 230 miles measured to the nearest 10 miles.
What does it mean to say that f(x) is continuous?
What is meant by locating a root?
The length of a log is measured exactly to be 55.6 m. Calculate the length of the log truncated to the nearest meter.
Understanding the Basics of Resolving Forces: A Comprehensive Guide
Real-World Applications of Maths: How Maths is Used in Various Careers
A wooden toy is 6 cm tall to the nearest cm. Find the upper and lower bounds for the height of the toy.
Using Technology to Boost Your Studies: Apps and Tools
The cost of a government scheme is projected to be £5.45 billion, rounded to 2 decimal places. Find the interval within which the cost, C, of this scheme, lies.
Lily’s height was measured to be 175 cm to the nearest cm. Work out the interval within which Lily’s height, h, lies.
Common Mistakes in Advanced Maths and How to Avoid Them
The Importance of Problem-Solving Skills
The capacity of a jug, C, has been measured to be 5.43 litres to 2 decimal places.
Understanding the Maths Curriculum: Key Topics and Concepts to Focus On
The weight of a dog has been truncated to 402.3 ounces to 1dp. Work out the interval within which w, the weight of the dog, lies.
Mastering Advanced Maths: Tips and Resources for Success
What is 9.876 truncated to 1 decimal place?
Mr. Evans is standing for re-election to the local council.
A field is measured to be 34m long and 28m wide, to the nearest metre. Calculate the minimum and maximum values for the area of the field.
A pharmaceutical company is trialling a new drug to treat this illness.
The following year Ramesh finds that he still has many seeds left.
Another coffee shop also provides free internet access.
A coffee shop provides free internet access for its customers.
When to perform a two tailed test?
What is a one tailed test?
How to determine the critical region?
What is hypothesis testing?
The probability that Judith has meat for her evening meal is 0.2 and the probability she has fish is 0.35
A particular condition affects 0.8% of the population.
57.7 has been rounded to 1 decimal place. Work out the upper and lower bounds (or error interval) of this value.
Two events A and B are such that P( A) = 0.6 , P(B) = 0.5 and P(A ⋃ B) = 0.85 . Find P( A | B).
What is meant by error interval?
Measurements of sunshine and rainfall are made each day at a particular weather station.
What are upper and lower bounds?
Candidates applying for jobs in a large company take an aptitude test, as a result of which they are either accepted, rejected or retested, with probabilities 0.2, 0.5 and 0.3 respectively.
Jonah has 394 guests, and each requires one glass of juice each. Estimate how many cartons of juice he will need if each carton has enough to fill 9.5 glasses.
What is the formula for conditional probability?
What are independent events?
James runs half a mile and records his time at 6.23 minutes. Estimate how long it would take for James to run 10 miles.
What are mutually exclusive events?
Jake is buying tiles for his floor. His floor is 5.78 m × 7.98 m. Estimate the area of Jake’s floor.
What notation is used with Venn Diagrams?
Sarah needs to buy 30 packs of printer paper and 42 printer ink cartridges.
What is a Venn Diagram?
Tom sells 1506 books at a cost of £6.95 Estimate the total amount of money Tom has made from selling his books.
How to calculate probabilities?
Estimate 49.53 × 120.12
Find the equation of the straight line through (1, 5) which is perpendicular to the line with equation 2y = x + 3.
Estimate 2001 × 31.01
A is the point (1, 5) and B is the point (6, −1). M is the midpoint of AB. Determine whether the line with equation y = 2x – 5 passes through M.
Estimate 3.9 × 11.1
Find the equation of the line which is perpendicular to the line y = 2x − 5 and which passes through the point (4, 1). Give your answer in the form y = ax + b.
Estimate the answer to (8.21/3.97) x 31.59
Find the coordinates of the point of intersection of the lines y = 3x − 2 and x + 3y = 1.
What is estimating?
The centre of a circle C is at the point (−1, 3) and C passes through the point (1, −1). The straight line L passes through the points (1, 9) and (4, 3). Show that L is a tangent to C.
Elijah is walking to work. His work starts at quarter past 2 in the afternoon. He leaves at 13:48 and it is a 25 minute journey. Does he get to work on time?
Determine the exact values of k for which the curves y = x^2 − kx and y = 3 (k + 1) + kx − x^2 touch.
Kim is working a 5 hour shift, starting at 1:25 pm. Find the time she will finish her shift, giving your answer using 24 hour time.
Find the coordinates of the points of intersection of the curve y = x^2 + x and the line 2x + y = 4 .
How to use time from a timetable?
Determine for what values of k the graphs y = 2x^2 − kx and y = x^2 − k intersect.
How to remember how many days are in each month?
Find the equation of the circle with centre E which passes through A and B. Show also that CD is a diameter of this circle.
How does an analogue clock display time?
Points C and D have coordinates (− 5, 4) and (3, 6) respectively. The line through C and D has equation 4y = x + 21. The point E is the intersection of CD and the perpendicular bisector of AB. Find the coordinates of point E.
How does a digital clock display time?
Points A and B have coordinates (− 2, 1) and (3, 4) respectively. Find the equation of the perpendicular bisector of AB and show that it may be written as 5x + 3y = 10.
12 hour and 24 hour clock notation
What are the general equations of a circle?
What is the process to determine the perpendicular bisector of a line?
Find the set of values of x for which the line y = 5x − 6 lies below the curve y = x^2 .
Find the set of values of k for which the equation 2x 2 + kx + 8 = 0 has distinct real roots.
Find the coordinates of the point of intersection of the lines 2x + 5y = 5 and x – 2y = 4
Find the coordinates of the point of intersection of the lines 2x + 3y = 12 and y = 7 − 3x.
A circle has diameter d, circumference C, and area A. Starting with the standard formulae for a circle, show that Cd = kA, finding the numerical value of k
Rearrange the equation 5c + 9t = a(2c + t) to make c the subject
Solve the equation |4x − 5| = 3.
Solve the equation |2x + 1| < 5.
Solve the inequality |2x −1| ≥ 4.
Express 1 < x < 3 in the form |x − a| < b, where a and b are to be determined.
What is the modulus function?
What is a composite function?
When is a function not a function?
Evaluate 5.7×6.32
Evaluate 62.059−5.118
Find 985.4+81.767
A drug for treating a particular minor illness cures, on average, 78% of patients. Twenty people with this minor illness are selected at random and treated with the drug.
How to divide decimals
The following year Ramesh finds that he still has many seeds left. Because the seeds are now one year old, he suspects that the germination rate will be lower.
Evaluate 7.68×2.5
How to multiply decimals?
A researcher is investigating whether people can identify whether a glass of water they are given is bottled water or tap water.
What is a decimal?
Every morning before breakfast Laura and Mike play a game of chess. The probability that Laura wins is 0.7.
The 24 members of staff at the Blackley branch of the Midshires Bank decide to start a lottery.
Solve for the following: 7 × (8 ÷ 4)² Show your work.
Every evening at bedtime my cat Arthur decides whether to spend the night inside or outside the house.
The discrete random variable X takes the values 0, 1, 2 and 3 only. You are given that P(X = r) = kr! Show that k = 0.1.
Consider the following expression: 55 − (1 + 4) × 4 Write the expression in simplest form.
In a particular country, 8% of the population has blue eyes.
Solve for the following: 10 ÷ 2 − 3 × 1
Solve for the following: (2 × 7) + 1 × 3 Show your work.
BIDMAS or BODMAS
Every evening, 5 men and 5 women are chosen to take part in a phone-in competition.
In a box of chocolates there are 11 milk chocolates 5 dark chocolates 7 white chocolates
The weights of bags of a particular brand of flour are quoted as 1.5 kg.
A draw is being held to win a prize. Bruce buys 17 tickets. A total of 350 tickets are in the draw.
Malik is playing a game in which he has to throw a 6 on a fair six-sided die to start the game.
There are 53 counters in a bag.
What are cumulative probabilities?
There are 30 pens in a box. 12 of the pens are black.
What is a binomial distribution?
There are 26 sweets in a bag.
What is a probability distribution?
The probability of Timmy winning a Tennis match is 0.7. Work out the probability that Timmy does not win a Tennis match.
It is suspected that Scandinavian male blackbirds have, on average, longer wings than native English male blackbirds.
The probability of Barry winning a Badminton match is 3/8 . Work out the probability that Barry does not win a Badminton match.
The amount of data, Y megabytes, arriving at the server during the evening
Raphael buys one raffle ticket. A total of 250 raffle tickets are sold.
The amount of data, X megabytes, arriving at an internet server per second
There are 11 pens in a box. 5 pens are red. 4 pens are blue. 2 pens is green.
What is a continuity correction?
What is the standard normal distribution and why is it used?
How do you find Normal Distribution probabilities using a calculator?
Here is a list of 8 numbers. 1 2 3 4 5 6 8 9 One of the numbers is chosen at random. Write down the probability that this number is 9.
What is the notation used to distinguish a Normal Distribution?
A train takes t minutes to get from London to Canterbury The same journey by car takes 50 minutes longer. Write an expression for the amount of time, in minutes, it takes to travel from London to Canterbury by car.
What are the characteristics of a Normal Distribution?
Charles has m marbles. Rosalind has 6 more marbles than Charles Write an expression for the number of marbles Rosalind has.
Give an example of how the chain rule is used.
An adult cinema ticket costs £x The price of a child’s ticket is half the price of an adult ticket Write an expression for the price, in pounds, of a child’s ticket.
What are the compound angle formula in trigonometry?
The normal price of a train ticket from Ashford to London is £34.20 Ross gets ⅓ off the price of his train ticket Work out how much Ross pays for his ticket.
How were the reciprocal trigonometric functions discovered?
If the second derivative is equal to zero does that mean that there is a point of inflection?
Harry has 50 sweets. He gives ⅖ of the sweets to Sandra. He gives 3/10 of the sweets to Jamie. Harry keeps the rest of the sweets for himself. Work out how many sweets Harry keeps.
When the first derivative is equal to zero, does this definitely mean there is a max or min turning point?
There are 1100 students at a school. 540 students are girls, the rest are boys. 1/10 of the girls are left handed. ⅛ of the boys are left handed. Work out the number of left handed students in the school.
What is meant by the term concave down?
The normal price of a computer game is £40 The price is reduced by ⅕ in a sale. Work out the price of the computer game in the sale.
What is meant by the term concave up?
There are 924 people in a theatre. 383 of the people are men. 356 of the people are women. ⅖ of the children are boys. Work out how many girls are in the theatre.
What is meant by an increasing function?
Work out the difference between 20% of 90 and 3/7 of 49
What is meant by a non-stationary point of inflection?
Work out the difference between of ⅜ of 32 and ⅖ of 40
What is the purpose of partial fractions?
Work out the difference between 25 and 2/9 of 81.
How to find the point of inflection on a normal distribution curve?
Holly is thinking of a number. ¾ of Holly’s number is 39. Work out the number Holly is thinking of.
What is a normal distribution?
The temperature in Leeming at midnight was -2°C The temperature in Leeming at midday was 8°C Work out the difference between the temperature in Leeming at midnight and midday.
What are the requirements for a binomial distribution?
The temperature in London at midnight was -3°C By 11 am, the temperature had risen by 5°C. Work out the temperature at 11 am.
Here is a number sequence.
The temperature in Glasgow one day was -4°C The next day the temperature was 3°C lower. Work out the new temperature.
The cubic polynomial f(x) is defined by f(x) = 2x^3 -7x^2 +2x+3. Express f(x) in a fully factorised form.
Work out -2 × 4 × -9
Work out -32 ÷ 4
How do you approximate a binomial distribution with a normal distribution?
Work out -2 + -11
Partial Fractions – Linear Denominators
Tamsin buys a house with a value of £150000 The value of Tamsin’s house increases by 4% each year.
Partial Fractions – Squared Linear Denominators
A number, d, is rounded to 1 decimal place. The result is 12.7 Complete the error interval for d.
Reciprocal Graphs – Sketching
Explain, in terms of crystal structure and bonding, why silicon(IV) oxide has a higher melting point than phosphorus(V) oxide.
Explain the meaning of the term monochromatic light.
Last year a family recycled 800kg of household waste.
Write 60 as a product of its prime factors.
Work out the value of the reciprocal of 0.625
Improper Algebraic Fractions
Factor Theorem
Polynomial Division
Suggest two reasons how the greenhouse effect is enhanced.
Explain two benefits and two costs of specialisation to firms
Explain, in terms of particles, why the rate of reaction increases when the concentration of sodium thiosulfate is increased.
Give an equation for the reaction of phosphorus(V) oxide with water. Suggest a pH for the solution formed.
Describe the similarities and differences between the processes of diffusion and osmosis.
What is a monomer?
There are 3 cinemas A, B and C.
Paulo drives at an average speed of 56km/h for 1 hour 45 minutes.
There are 50 teachers in a school.
Write down the exact value of cos 60°
Proof by Deduction
Proof by Exhaustion
Proof by Contradiction
Language of Proof
Using proof by contradiction prove that if (n^2 + 2n) is even, where n is an integer, then n is even.
Explain one way in which ideas about preventing plague were different in the 14th and 17th centuries.
What is specialisation?
Suggest what effect, if any, increasing the temperature will have on the amount of hydrogen iodide at equilibrium. Give a reason for your answer.
Describe how a sperm cell is adapted to its role.
Describe the chemical reactions involved in the conversion of polymers to monomers and monomers to polymers.
Use a counter example to show that the following statement is false: n^2 – n – 1 is a prime number, for 3 ≤ n ≤ 10
N is an odd integer that is not divisible by 3. Prove that N^2 is not a multiple of 3
Prove that (2n + 3)^2 – (2n – 3)^2 is a multiple of 6 for all values of n
Prove that the sum of two consecutive odd numbers is a multiple of 4
In India JCB has a strong brand image and a 50% share of the market for construction equipment.
The Haber process uses a catalyst to speed up the reaction. Explain how a catalyst speeds up a reaction.
Which element has a first ionisation energy lower than that of sulfur?
Describe the process of cloning and how it can help to prevent plant species from becoming extinct.
Explain one way in which ideas about the treatment of disease
What are the 4 main functions of money?
Name a natural resource from which hydrogen is produced.
Research conducted in New Zealand in 2014 estimated the cross elasticity of demand for e-cigarettes to be 0.16 in response to changes in the price of tobacco.
The price of a holiday increases by 20%
A cube has a total surface area of 150cm^2 Work out the volume of the cube.
Work out 8.46 ÷ 0.15
Naomi has b bags of apples and c crates of apples.
Explain the main differences between private and public sector enterprises
Which ion has the largest radius?
In an osmosis experiment, after 45 minutes, a potato cylinder had lost 2.4 g in mass.
Glycogen and cellulose are both carbohydrates. Describe two differences between the structure of a cellulose molecule and a glycogen molecule.
Explain one way in which ideas about cause of disease and illness were similar in the 14th and 17th century
What kind of economic system does the UK have? Explain your answer
Explain why, when a reversible reaction reaches equilibrium, the reaction appears to have stopped.
Name the type of cell in plants that can differentiate into different types of cell.
There are 200 counters in a bag. 38 counters are red. 52 counters are blue.
Work out 6/7 x 5/12 Give your answer as a fraction in its simplest form.
Factorise 8d – 6
Simplify 19 + 5b + 4c – 7b + c
Integrate x*cos(x)
How do you find the equation of a tangent to a curve at a certain point, from the equation of the curve?
Where does the formula for integration by parts come from?
Differentiate y=e^(x)*sin(x) with respect to x
As a result of a successful advertising campaign, demand increased by 3 000 e-cigarette kits at all prices.
Which element in Period 3 has the highest melting point?
What is a monomer?
Simplify 15a/3
What are stationary points and how do I find them?
Explain two ways that national government have contributed to globalisation
A luxury brownie baker is faced with falling demand as incomes fall. (a) The likely income elasticity of demand for a luxury good is:
Which element is classified as a d block element?
Use of a colorimeter in this investigation would improve the repeatability of the student’s results. Give one reason why.
Assess the extent to which cultural diffusion caused by globalisation inevitably leads to social and political tension.
Which one of the following economic thinkers supported the idea of a command economy?
In a time of flight mass spectrometer, molecule X is ionised using electrospray ionisation. What is the equation for this ionisation?
A precipitate is produced in a positive result for reducing sugar in a Benedict’s test. A precipitate is solid matter suspended in solution.
Explain how globalisation may result in exploitation of the environment in developing countries.
Outline how Elizabeth used patronage and factional rivalry to control the Royal Court
Show that the derivative of ln(x) = 1/x
For a different football match, 297 tickets were sold for £9.50 each. 399 tickets were sold for £19.50 each. (b) Work out an estimate for the total amount of money paid for these tickets.
Differentiate with respect to x: (6x + 7)e^x
Reversible reactions can reach equilibrium in a closed system. (i) What is meant by a closed system?
Explain how one type of evidence can help reconstruct past climates.
A total of 700 tickets were on sale for a football match. 452 of the tickets were sold. How many tickets were not sold?
Describe Elizabeth’s Royal Court
Assess the importance of volcanic eruptions and changes to solar output to climate change?
With reference to the information provided, explain one advantage of a free market economy.
Integrate using by parts twice : ∫e^(x)*(cos(x))dx
Give two differences between plant and animal cells.
A biochemical test for reducing sugar produces a negative result with raffinose solution.
Max sees this special offer in a shop. Buy one large plate and get one small plate for half the normal price.
Write down three different factors of 20
Use integration to find I = ∫ xsin3x dx
A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.
Explain how global circulation influences the location of the world’s desert.
Use examples to explain what is meant by the primary, secondary and tertiary sector
What are the disadvantages of economic growth?
Describe the Royal Progresses
Explain two ways change in transport have accelerated globalisation
Suggest two ways that global circulation patterns affect rainfall distribution in West Africa
Comment on whether higher government spending will always increase inflation
What is the difference between ionic and metallic bonding?
How does natural selection occur?
What are the key differences between eukaryote and prokaryote cells?
Suggest one reason why labour costs are significantly cheaper in Bangladesh
Solve p – 2 = 3
Prove that (1-cos2x)/sin(2x) = tan(x) where x ≠ nπ/2
Describe how Elizabeth used portraits
Define the term TNC
Evaluate the impact of the increase in the number of public sector employees on the UK economy
Why does lithium have a higher melting point than sodium
How does the body respond to decreasing blood glucose?
Why is Chlorine a gas at room temperature but Sodium Chloride is a solid?
How can crude oil be used as a source of hydrocarbons?
Why is it becoming more difficult to treat bacterial infections with antibiotics?
Guard cells open and close stoma in different conditions. When light intensity is high, potassium ions move into guard cells. Describe how this movement of potassium ions causes the stoma to open.
Prove to cos^2(X) + sin^2(X) = 1
Explain the chain rule of differentiation
Find all the stationary points of the curve: y = (2/3)x^3 – (1/2)x^2 – 3x + 7/6 and determine their classifications.
Using an example explain what is meant by opportunity cost
Which is preferable, inflation or deflation?
What is meant by a strong acid?
What is DNA made of?
What are the 4 main factors of production?
Differentiate xcos(x) with respect to x.
Define global shift
What is an easy way to remember how sin(x) and cos(x) are differentiated and integrated?
How do each of ionic, covalent and metallic bonding compare?
Explain the trend in boiling points between HF, HCl and HBr.
Explain the basic economic problem
Work out – 9 + 5
Find the integral of (tan(x))dx using the substitution u = cos(x)
Describe Elizabeth’s Coronation
Write 38% as a decimal
Explain how ocean currents can influence climates
What four factors influence the rate of reaction?
Explain how a stimulus can result in a reflex reaction
Show that y = (kx^2-1)/(kx^2+1) has exactly one stationary point when k is non-zero.
Define a firm’s shutdown point, and explain it intuitively using an example
Outline the process of respiration in humans
Show that cosec(2x) + cot(2x) = cot(x)
How do you integrate (x/(x+1)) dx without using substitution.
Simplify (3x^2-x-2)/(x^2-1)
Is a line ax+by+c=0 tangent to a circle?
When and how do I use the product rule for differentiation?
If 10 N is required to move an object 2m, what is the work done?
Explain why the velocity of a car moving at a constant speed around a bend changes.
What is the equation of an accelerated body moving in one dimension?
Simon’s car has run out of fuel. He must push his car 5 metres to the petrol pump, using a force of 200N. How much work does Simon do?
When going around a roundabout, why do I feel a force pulling me outwards?
What is a moment?
Why is an object that moves in a circular path accelerating when it has constant speed?
Explain how resonance occurs for a driven oscillating system and describe the effect of damping on the resonant frequency.
Uranium -238 has a half life of 4.5 billion years. How long will it take a 2g sample of U-238 to contain just 0.4g of U-238?
What is the difference between a natural resource and an economic reserve?
How are vesicles and amygdales formed in an igneous rock?
Explain how Paleomagnetism can be used as evidence for Continental Drift?
What is the impact of a price ceiling on a market equilibrium?
What are the trade-offs with other macroeconomic policy objectives of a fall in the unemployment rate?
What is meant by an oligopoly being both interdependent and uncertain in their price strategies?
Describe and explain one supply-side policy aimed at shifting the long run aggregate supply curve.
What is the impact of technological advances on a market?
Explain the process of evolution by natural selection
Explain how DNA is replicated and why this is important in biology.
Describe the process of transcription for a gene
Why is the derivative of the exponential function itself?
Find the first three terms in the expansion of (4-x)^(-1/2) in ascending powers of x.
How do you conduct a two tailed binomial hypothesis test
How do I differentiate the trigonometric functions sin(x) and cos(x) ?
The curve C has equation: 2(x^2)y + 2x + 4y – cos(pi*y) = 17. Use implicit differentiation to find dy/dx in terms of x and y.
Use the chain rule to differentiate y=(x-3)^(-3)
Find the gradient of the tangent and the normal to the curve f(x)= 4x^3 – 7x – 10 at the point (2, 8)
Why the integral of 1/x is the natural log of x?
How to gain an inverse function
A curve has parametric equations x = 1 – cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.
If f(x)=7xe^x, find f'(x)
Why is the refractive index of water bigger than that of air?
Why do angles in a triangle add to 180?
Integrate (cosx)^3
Take the polynomial p(x)=x^4+x^3+2x^2+4x-8, use the factor theorem to write p(x) as two linear factors and an irreducible quadratic. An irreducible quadratic is a quadratic that can not be factorised.
Solve the simultaneous equations y+4x+1 = 0 and y^2+5x^2+2x = 0
Why did relations between the USA and the Soviet Union worsen in the years 1947–49? Explain your answer
Name two structural differences between arteries and veins.
How is immunity developed after a primary infection by bacteria?
Complete the square by rewriting x^2+6x-15 in the form (x+p)^2-q
A circular ice rink has a diameter of 60 meters. Calculate the area of the ice rink in terms of π in meters
Express 56 as the product of its prime factors
Integrate by parts ln(x)/x^3
Find the general solution of the differential equation: d^2x/dt^2 + 5dx/dt + 6x = 2cos(t) – sin(t)
When finding the turning points of a curve, how can I tell if it is a maximum, minimum or a point of inflection?
Differentiate this equation: xy^2 = sin(3x) + y/x
Find d^2y/dx^2 for y=4x^4−3x^3−6x^2+x
Differentiate y^3 + 3y^2 + 5
Historians have disagreed about the role of Soviet expansion in the origins of the Cold War. What is your view about the role of Soviet expansion in the origins of the Cold War?
What is the difference between constructive and destructive waves?
Describe the structure of an atom?
The equation of a curve is x(y^2)=x^2 +1 . Using the differential, find the coordinates of the stationary point of the curve.
Find an expression for dy/dx of the function y=(4x+1)ln(3x+1) and the gradient at the point x=1.
Find the vertex coordinates of parabola y = 2x^2 – 4x + 1
Find an expression in terms of powers of cos(x) for cos(5x)
Solve |2x+1|=3|x-2|
What was the Berlin blockade?
Describe the formation of a gorge.
Explain what a balance of trade deficit is
Explain why, in the long run, a firm will always make normal profits.
What is electronegativity?
‘The League of Nations failed principally because the USA was not a member’. To what extent do you agree with this statement?
How can a volcanic eruption be predicted?
What is the difference between an increase in demand and an extension in demand?
Why did productivity in the UK remain stagnant after 2007?
What trends are shown as you go down group 2 of the periodic table?
Describe how carbon dioxide helps maintain temperature on Earth
Give two ways of working safely with microorganisms.
Solve the following equation: 13y – 5 = 9y + 27
If I toss a coin 3 times what is the probability of it landing on heads at least once?
How do I expand (x+a)(x+b)?
How do you integrate (2x)/(1+x^2) with respect to x?
What does it mean if “b^2 – 4ac < 0” for a quadratic equation (eg y = a*x^2 + b*x + c)
Integrate the function xsin(4x^2) with respect to x, using the integration by substitution method.
Integrate the following expression with respect to x by parts: (2*x)*sin(x)
How do you find the coordinates of stationary points on a graph?
Find the set of values of x for which x(x-4) > 12
Find dy/dx of (x^2+4x)^3
How do you find (and simplify) an expression, in terms of n, for the sum of the first n terms of the series 5 + 8 + 11 + 14 + … ?
Find the equation of the tangent to the curve y=3x^2-7x+5 at the point (2, 3)
Describe two features of the Amicable Grant (1525)
What are the main characteristics of a country in stage 1 of the DTM?
Examine how and why definitions of development have changed.
How can changes to taxes cause a reduction in the public deficit?
What is the relationship between income elasticity of demand and a normal and inferior good?
Smoking cigarettes can increase the risk of people developing cancer. Which is the description of cancer?
Explain how pressure can affect the rate of reaction
If hydrogen was burnt in a chamber full of oxygen, what would be the effect on the chamber pressure and why?
What are the models for enzyme action and how to remember the differences?
Are the severity of famines caused by human or physical factors?
The National Living Wage (NLW) government policy target is to increase the NLW to £9 per hour by 2020. Explain two possible impacts of this policy on the UK supermarket industry.
Discuss ‘looser fiscal policy’ and ‘supply side reforms’ that may be used by governments
Why does Magnesium Oxide have a higher melting point than Sodium Chloride?
How do you work out an electron configuration?
Changes in lifestyle can reduce the risk of cardiovascular disease. State two other treatments for cardiovascular disease
Explain how proteins are synthesised through the processes of transcription and translation.
Write 3.84761 correct to 3 decimal places
Integrate (x+3)^(1/2)dx
How do you differentiate 2^x?
Differentiate 5x^3 + 4x^2 + 5x + 9
Express Cosx-3Sinx in form Rcos(x+a) and show that cosx-3sinx=4 has no solution
Why reduce energy demand and what can be done to reduce it?
Discuss the likely success of the ECB’s quantitative easing programme in moving Eurozone inflation closer to the ‘central bank’s ceiling of 2%’.
In terms of structure and bonding, explain why graphite is able to conduct electricity.
What stabilises a carbocation in a nucleophilic substitution reaction?
A person has a BMI of 39.0 Explain the risk of this person developing cardiovascular disease.
Describe what happens in the hydrolysis reaction that produces the smaller protein from amyloid-precursor protein.
A truck is carrying 8.5 tonnes of produce. Find the amount of produce the truck is carrying in kg.
Write 2.79 correct to 1 decimal place
Write 5829 to the nearest thousand.
Find the integral of sin^2(X)
Find ∫x^2e^x
You are given that n is a positive integer. By expressing (x^2n)-1 as a product of factors, prove that (2^2n)-1 is divisible by 3.
Given that 4 sin(x) + 5 cos(x) = 0 , find the value of tan x .
What is a hotspot?
What is the difference between a contractionary and expansionary fiscal policy?
With reference to the information provided and your own knowledge, examine two factors which might explain the change in the rate of Eurozone inflation.
How to balance a chemical equation.
Explain why ethanol has a higher boiling point than ethene
Explain one reason for transplanting stem cells into the retina
Suggest how amyloid-precursor protein can be the substrate of two different enzymes, α-secretase and β-secretase
Write 376 to the nearest hundred.
What is an acid?
Simplify (3x^2 – 6x)/ (6x^3 – 19x^2 + 9x +10)
How are local climates affected by deforestation?
Via the product rule, or otherwise, differentiate ‘y = xsin(x)’.
Outline one reason for the distribution of tropical rainforest.
How does the World Trade Organisation (WTO) benefit developing countries?
Discuss the view that the savings gap in developing countries is the most significant constraint on growth.
How many protons, neutrons and electrons are present in a Lithium (Li+) ion?
Why does hydrogen bonding occur in water?
Scientists have transplanted stem cells into the retina of the eye. Name one type of light sensitive cell found in the retina.
Suggest why the development of a monopolar mitotic spindle would prevent successful mitosis.
Give two ways doctors could use base sequences to compare different types of HPV.
Find the equation of the straight line that passes through the points (1,2) and (2,4)
Assess the extent to which tropical storms have effects on people and the environment.
Expand and simplify fully 5(3x + 4) – 2(x – 1)
2^a × 3 × 5^2 = 600 Work out the value of a. You must show your working.
Integrate 5sinxcosx + 5cosx
Differentiate y=x^3*(x^2+1)
Explain why volcanic eruptions vary in their magnitude.
Give one reason why the wind speed of a tropical storm (hurricane) may change as it reaches land.
Assess the view that economic development is dependent on economic growth. Refer to examples of developing countries.
Give the name of the piece of apparatus the student should use to find the volume of the potassium carbonate solution.
What is Hess’s law?
Describe how stem cells help animals to grow.
Human papilloma virus (HPV) is the main cause of cervical cancer.
Evaluate strategies which may be used by businesses and governments to improve the competitiveness of a country’s goods and services.
A student is given two nails of the same size but made of different types of steel
The ionic salts sodium benzoate and potassium benzoate are both used as food preservatives.
Suggest one reason why DNA is found in bones.
Describe the induced-fit model of enzyme action.
What would be the best advice for a new business entering the restaurant market?
Andrew and Bruce share some money in the ratio 5 : 6.
Two prime numbers are multiplied together. box The answer is an even number between 50 and 60. What could the numbers be?
Liz travels 18 miles in 20 minutes. Work out her average speed in miles per hour.
Convert 7 gallons to litres. Use 1 gallon = 4.5 litres
Write 0.19 as a fraction.
Write 18 out of 30 as a fraction in its simplest form.
Work out 10^3
Integrate sin^4(x)
Integrate ⌠( xcos^2(x))dx
Find the tangent to the curve y = x^2 + 3x + 2 at x = 1
Find dy/dx when y=(3x-1)^10
Find the gradient, length and midpoint of the line between (0,0) and (8,8).
Explain two characteristics of volcanic hotspots.
Explain how the increasing use of fossil fuels and changes in agriculture may have contributed to global changes in temperature.
Sundip was paid a salary of £3000.
The UK fell from 9th to 12th place in the global competitiveness index between 2016 and 2017.
Explain one other way that corrosion of steel can be prevented.
What is the shape of the ICl4 – ion?
Charles Darwin developed the theory of evolution by natural selection. Which scientist worked with Darwin on the theory of evolution by natural selection?
Scientists investigated the hydrolysis of sucrose in growing plant cells by an enzyme called SPS. 0 5 . 1 Name the products of the hydrolysis of sucrose.
Why does temperature affect the resistance of conductors?
Work out (–8)^2
Work out 6 × (–5)
Work out (–4) × (–3)
Solve the equation x(root)2 – (root)18 = x writing the answer as a surd in simplest form.
A box is pulled with a rope at 26° to the horizontal and a tension of 120N. What is the work done in pulling it 5 metres?
What are vectors?
Integrate tan(x)^2 with respect to x
What’s the difference between inertial and gravitational mass?
Give two pieces of evidence, other than the change in global temperature, that show box climate change has taken place.
As a business increases in size it is able to employ more specialist staff. Which economy of scale does this describe?
Rust can be removed from steel by treating it with dilute hydrochloric acid.
Explain which acid needs to be used to acidify the silver nitrate solution and why other acids are unsuitable.
The bird and the whale have evolved from a common ancestor.
Give two ways in which the hydrolysis of ATP is used in cells.
A curve has equation y = 2x^3 – 4x + 5. Find the equation of the tangent to the curve at the point P(2, 13)
Compare the economic damage caused by tectonic hazards before and after 2006
Noah and Mia saved a total of £482.
Molly gets paid £9.20 for each hour she works from Monday to Friday.
A piece of string is 350 cm long.
2 calculators cost £10.40 3 pens cost £3.54
David buys 3 pens and 5 pencils from the stationary shop.
Evaluate the integral ∫(sin3x)(cos3x)dx
Simplify ln(e^2) – 4ln(1/e)
How would you solve the inequality x^2-2x-8 >= 0?
a) Find the indefinite integral of sec^2(3x) with respect to x. b) Using integration by parts, or otherwise, find the indefinite integral of x*sec^2(3x) with respect to x.
Given that y = x^4 tan(2x), find dy/dx
Express 3sin(2x) + 5cos(2x) in the form Rsin(2x+a),
State one tectonic hazard that can cause coastal flooding.
Give one natural cause of changes in global temperatures.
What is most likely to cause a decrease in the price of carrots?
Explain one property of alloys of gold, other than their strength, that makes them suitable for use in jewellery
Give a reason why the silver nitrate must be acidified.
Give one advantage of domesticating animals.
Cells constantly hydrolyse ATP to provide energy. 0 3 . 1 Describe how ATP is resynthesised in cells.
Explain what is meant by the mass defect of an atomic nucleui
What is the Rutherford scattering experiment and what did it tell us about the nature of the atom?
Liam goes to a Cafe.
Mo buys a car.
Mason wants to buy 6 pens.
Ava wants to buy as many chocolate bars as she can
Amelia wants to buy 6 sausage rolls.
Explain briefly the Normal Distribution
Integrate the following expression with respect to x, (2+4x^3)/x^2
What is the probability to obtain exactly 2 heads out of 3 tosses of a fair coin?
Integrate (x^2)(e^x) with respect to x
Solve ln(2x-3) = 1
Where do the kinematics equations (SUVAT) come from?
Evaluate the case for government provision of goods and services such as flood defence schemes or housing.
What is an activity in a factor market?
Why is a H+ ion referred to as a proton?
Which change occurs when concentrated sulfuric acid is added to potassium bromide?
Give one advantage of using a microscope to look at cells.
Animal fats contain triglycerides with a high proportion of saturated fatty acids.
How to sketch the curve y=(x^2 – 4)(x+3), marking on turning points and values at which it crosses the x axis?
What is 7 to the power of 8?
How do we differentiate y=a^x when ‘a’ is an non zero real number
Find the equation of the the tangent to the curve y=x^3 – 7x + 3 at the point (1,2)
How do I derive equations for Time of Flight and Range in Parabolic Motion?
There are m fruits in a basket.
Expand 2a (4 + a)
What are the assumptions made when calculating values regarding an Ideal Gas?
What are the characteristics of the temperate deciduous woodland biome?
Suggest three reasons for the growth of settlements such as New Delhi.
What are some disadvantages of using GDP as a measure of living standards?
Evaluate the likely microeconomic effects of government intervention in the UK housing market.
What is the difference between exothermic and endothermic reactions?
Describe how you would test for the presence of a lipid in a sample of food.
Simplify: 4log2 (3) + 2log2(5)
f(x) = sinx. Using differentiation from first principles, find the exact value of f’ (π/6).
How do I determine the domain and range of a composite function, fg(x)?
Given that f(x) = x^2 (3x – 1)^(1/2) find f'(x)
Why is anything to the power 0 equal 1?
Without expanding any brackets work out the exact solutions of 9(x+3)^2=4
Describe the volcanic landforms associated with destructive plate margins and explain their formation.
What is a Macroeconomic consequence of an increased government spending?
Suggest reasons why levels of carbon dioxide in the atmosphere have changed over time.
Explain the likely impact on producer surplus of an increase in the demand for housing.
Why can metals conduct electricity?
Why do first ionisation energies decrease down a group?
Is the trapezium rule an exact method of integration?
How do I work out the equation of a tangent line to a curve?
Describe the difference between the structure of a triglyceride molecule and the structure of a phospholipid molecule.
Using the sum, chain and product rules, differentiate the function f(x) = x^n +x^3 * sin(1/[3x])
The price elasticity of demand for petrol is –0.2.
Solid magnesium cannot flow, but liquid magnesium can. Explain why.
When an unsymmetrical alkene undergoes electrophilic addition
Contrast the structures of DNA and mRNA molecules to give three differences
Solve for simultaneous equations x +5y =9 and 3x + 2y =5.
State the nth term of the following sequence: 3,7,11,15,19…
What is the value of x if x^2 – 3x +2=0?
What is the difference between a parametric equation and a general equation?
Solve (y+1)^2 = 4
Explain the process of soil infiltration.
How are islands formed?
The elasticity of supply of frozen pizzas
Define the term ‘external benefits’
What happens when a reversible reaction is at equilibrium?
Describe chemical test/s you could use to determine the identity of a carbonyl compound.
When HIV infects a human cell, the following events occur.
What is an example of a human effect on biodiversity?
Describe how synapses work in the context of the nervous system.
Describe four characteristics of an efficient respiratory surface
Define the term “Gravitational Potential” and write down a formula which defines it.
Explain how a bright line is formed by the diffraction grating at the first order diffraction angle
A person leaves their flat at 8:00am and travels to work at an average speed of 32 mph. They arrive at work at 9:15am. Calculate the distance they travel to work.
What is £23 increased by 4%?
Two dice are thrown at the same time.
Factorise x^2-x-20
Solve integral [3x^2 (x^3 + 1)^6] dx
Let y be a function of x such that y=x^3 + (3/2)x^2-6x and y = f(x) . Find the coordinates of the stationary points.
Find the derivative of y=e^(2x)*(x^2-4x-2).
How do you find the coordinate of where two lines intersect?
When Integrating by parts, how do you know which part to make “u” and “dv/dx”?
How do you find the roots of a cubic equation?
What is the gradient of y = xcos(x) at x=0?
Describe the characteristics of a destructive wave
Explain why house prices fell during the 2008 financial crisis.
Explain the statement that oligopolistic markets such as supermarkets or car manufacturers can be defined in terms of market structure or market conduct.
State the bonding present in diamonds
How can aldehydes and ketones be distinguished?
Name 3 differences in the structure or function of phloem and xylem vessels.
What occurs during the metaphase stage of mitosis?
What is the Centripetal force, and how does it keep objects in circular motion?
Explain the Doppler Shift Effect, and how it can be used to measure blood flow in the body.
What is the photoelectric effect?
3/5 of a number is 162, work out the number
The sides of a rectangle are x and (x+2), where x>0 the area of the rectangle is 8, what is the value of x?
Show that sqrt(27) + sqrt(192) = a*sqrt(b), where a and b are prime numbers to be determined
A curve C has the equation y=5sin3x + 2cos3x, find the equation of the tangent to the curve at the point (0,2)
Solve |3x+1| = 1
Find all the angles of a triangle with side lengths of 8cm, 11cm and 11cm.
Find the equation of the normal to the curve 2x^3+3xy+2/y=0 at the point (1,-1)
Describe the formation of a wave cut platform.
Give the advantages and disadvantages of building an airport to a nearby settlement.
What are the effects of a price floor?
What are the products of the reaction of zinc with hydrochloric acid?
Which are the strongest interactions between molecules
What are the four chambers of the heart?
How do humans have heart attacks?
Factorise 2x^2+5x – 3
Solve (11-w)/4 = 1 + w
Find the exact value of the integral of (2+7/x), between x=1 and x=e. Give your answer in terms of e.
A curve has an equation: y = x^2 – 2x – 24x^0.5 x>0 find dy/dx and d^2y/dx^2
A circle c has the equation x^2 + y^2 -4x + 10y = k. Find the centre of the circle.
What is differentiation and how do I do it?
“Overall GDP is the best way to measure social and economic well-being.” To what extent do you agree?
Explain the impacts of rural to Urban migration in an urban area
Discuss the view that the measures taken to reduce the size of the budget deficit will inevitably result in a rise in unemployment in the UK.
How does fractional distillation work?
State what is meant by term enthalpy change of neutralisation
How do organisms evolve via natural selection?
How would you test for the presence of glucose?
R and B are directly proportional variables. When R = 9, B = 3. What does R equal when B = 14?
Why does integration by parts work?
How to remember what trig functions differentiate to?
Show that (x + 1)(x + 2)(x + 3) can be written in the form ax^3 + bx^2 + cx + d
Differentiate with respect to x: (x^2+5)^3
The price of a banana has increased from £0.10 to £0.20.
Ethanol, CH3CH2OH, can be converted into a carboxylic acid with two carbon atom
How to write a redox equation from half equations
What are the limiting factors of photosynthesis?
Why do the number of blood cells change in a person with an infection?
Factorise fully 3a^3b + 12a^2b^2 + 9a^5b^3
5 students are in a maths class and 10 students are in a physics class
Give the first and second derivative of the function f(x) = 5/x – 9x + 4
How do I find dy/dx for a given equation, once this is found how do I find the value of x such that dy/dx = 0.
Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis
Find the roots of this equation: y=(8-x)lnx
Explain the forces involved in a pendulum set up.
Explain the evidence for sea-floor spreading
How does tourism impact development in lower income countries (LIC)?
Explain how exchange rates are determined in a floating exchange market
What is cost push inflation?
How are elements in the modern periodic table arranged?
Explain why fluorine is more reactive than chlorine.
What are two ways in which the body cools itself down when too hot?
Why does putting honey on a cut kill the bacteria within it?
Find the exact solution to ln(2y+5) = 2 + ln(4-y)
Discuss measures to reduce an imbalance in the current account?
What is the trend of reactivity in group 1 metals?
What is the definition of ‘first ionisation energy’?
How can you tell a cell is an animal and not a plant cell?
Explain how blood glucose concentration is controlled in the body
How to apply the quadratic equation
How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?
Show that the function f(x) = x^2 + 2x + 2 is always positive for real values of x
Differentiate y=x^3+ 7x-ln(2)
How do you prove a mathematical statement by contradiction?
Find dy/dx= x^2 +x^3
Differentiate 6x^2+2x+1 by first principles, showing every step in the process.
Find the coefficient of the x^2 term in the expansion of (1+x)^4.
Find the area under the curve y=xsin(x), between the limits x=-pi/2 and x=pi/2.
How to sketch the graph of y=ln(|x|) ?
Differentiate sin(x^2+1) with respect to x
Why do people live in vulnerable areas?
Explain the impact of incentives on the behaviour of economic agents and resource allocation.
What is the difference between atom economy and percentage yield?
What is a dative covalent bond?
Describe the structure of prokaryotic cell
What is diffusion and what affects the rate at which it occurs?
What are the factors that affect the demand of a good or service?
Explain the effects of increased Tariffs on goods from the UK
What characteristic ion can denote the difference between an acid and an alkali and give an example?
What is the difference between an acid and a base?
Both Fish and Mammals have ventilation mechanisms
Explain synaptic transmission at a cholinergic synapse.
How can you tell if a function is even or odd?
Find dy/dx when y = 5x^6 + 4x*sin(x^2)
How do you do binomial expansion when the power is negative?
An apple is suspended between a string and a spring in parallel.
Determine the equation of the line which is perpendicular to y = 2x + 9 and crosses through the point (1,2)
Steve wants to put a hedge along one side of his garden
Differentiate ln( x^2 )
How to turn a fraction in the form of (x + a)/(x + b)^2 into partial fractions?
What’s the difference between the quotient rule and the product rule?
Explain one externality that could come about as a result of a factory producing clothes.
Explain why deflation may not always be a problem
What is oxidation?
Explain, in terms of sub-atomic particles, why the mass number of a magnesium atom is 24.
Explain why diffusion is an important process in plants and animals.
What causes cancer?
Why is the nuclear model better than the plum pudding model of the atom?
How do I multiply or divide fractions without a calculator?
How does temperature relate to the structure of solids and liquids?
What is Pythagoras’ Theorem for finding the length of a side of a triangle?
A block of mass 5kg is at rest on a smooth horizontal table
Find the integral of: sin^4(x)*cos(x)dx
What was the purpose of the Truman Doctrine?
What are the patterns of global urbanisation?
Discuss whether a reduction in taxation will always increase a country’s economic growth rate.
How is the electronic structure of sodium different from chlorine?
Give the two reactions required in order to convert an alcohol into a hydroxynitrile. Include reactants and conditions.
How are leaves adapted for photosynthesis?
Describe and explain how a nerve impulse is transmitted across a cholinergic synapse.
Solve the differential equation dy/dx = 6xy^2 given that y=1 when x=2.
To what extent will increased energy scarcity affect geopolitics?
How do you find the area between two lines?
Explain how an increase in interest rates can affect total spending in the UK.
What is meant by comparative advantage?
What is the structure of an atom, and how is the charge and mass calculated?
What is periodicity?
Describe how insulin returns the blood glucose concentration to normal.
What is saltatory conduction?
Find the tangent to y = x^2 – 4x + 9 at the point (3,15)
Differentiate the following: y=(7x^2+2)sinx
What is a good method to go about sketching a polynomial?
Who was responsible for the outbreak of the Cold War?
How does a tsunami form and why do their waves increase in size as they approach the shore?
Evaluation points for macroeconomics
Describe what hydrogen bonding is in water.
Outline how the first neurone communicates with the second neurone at a synapse.
What is electrical current?
Explain two consequences of the War of Independence for the Native Americans.
Explain why some locations remain ‘switched off’ from globalisation
What’s the difference between direct and indirect taxation
How does a reduction in the interest rate affect aggregate demand in a closed economy?
Explain how a catalyst works to increase the rate of reaction
Describe the processes which occur that allow synaptic transmission
Explain why the stability of a car can be improved by widening the wheelbase and lowering the centre of gravity.
How do I prove (x-2) is a factor of the function f(x) = x^2-4x+4?
Find dy/dx when y=x^3 + sin2x
Find the derivative of y=arcsinx
Discuss the largest threats to biodiversity
How did Hitler change the Nazi party between 1924-1929?
Outline how overpopulation is a major cause of poverty
Evaluate whether higher government spending will always increase inflation.
Explain why Ethanoic acid has a higher PH than Hydrochloric acid?
What is the difference between mitosis and meiosis?
Name two properties that both microwave and infrared have.
How does the red shift support the Big Bang theory?
Find the gradient of the line Y = X^3 + X + 6 when X = 4
How to differentiate y=(x^2+4x)^5
How do you prove two straight lines intersect?
Explain the formation of a spit.
Evaluate the view that perfect competition is a more efficient market structure than monopoly.
How can globalisation increase domestic competitiveness?
Why can ammonium sulfate be described as a salt?
How do you work out the limiting reagent in a reaction?
Which are veins and which are arteries?
Explain how anti-diuretic hormone (ADH) is released and acts on cells in the collecting duct wall?
What is ln(10)-ln(5)?
Express ‘6cos(2x) +sin(x)’ in terms of sin(x).
Benefits Of Revision In Year 12
Integrate (tanx)^2
How can geographers help to tackle climate change?
Using examples of an Earthquake, describe the effects of the disaster.
What is the difference between the long run and short run Phillips curves?
Should the government stop firms from getting too big?
How would changing reaction vessel volume and reaction vessel temperature affect the rate of a reaction?
How do I explain that the breakdown of an ester is a hydrolysis reaction?
Describe how cell division by meiosis is different from cell division by mitosis.
Compare and contrast the structure and properties of phospholipids with those of triglycerides.
d/dx[sin(x) + cos(x)]
How would you differentiate ln(x^2+3x+5)?
Differentiate the function y = 26 + x – 4x³ -½x^(-4)
What is the effect of expansionary fiscal policy on the economy?
Explain three differences between particles in a solid state and particles in a gaseous state.
Can you explain hydrogen bonding?
Most cases of scarlet fever occur in children.
Describe the reactions that link glycolysis to the krebs cycle
What are the properties of electromagnetic waves?
Why do we use trigonometry and how do we get the sine, cosine, and tangent graphs?
f(x)= 2x^3 -7x^2 + 2x +3. Given that (x-3) is a factor of f(x), express f(x) in a fully factorised form.
Differentiate: tan(2x) cos(x)
Why do we need the constant of integration?
Find the area R under the curve when f(x)=xcos(x) between the limits x=0 and x=2
What were the consequences of the Berlin Blockade and Airlift (1948-49)?
Consider how international trade, TNCs and variable access to markets underly impacts on your life and other people’s lives across the globe.
Evaluate one reason why trade may be beneficial for an economy
What are supernormal profits?
Graphite and diamond are both made from carbon atoms. Why can graphite conduct electricity while diamond cannot?
What is chirality?
How can molecules cross a cell membrane?
Describe a biochemical test that could be used to determine the presence of triglycerides in a sample of food.
Given a second order Differential Equation, how does one derive the Characteristic equation where one can evaluate and find the constants
What is the meaning of having a 3 by 3 matrix with determinant 0.
Describe the effect of an increase in ADH production on the kidney and on the composition of urine.
Why does first ionisation energy decrease as you go down a Group in the Periodic Table?
What makes the alveolus adapted for efficient gas exchange?
Write 36 as a product of prime factors. Give your answer in index form.
How to multiply and divide by complex numbers
Solve 4(3x + 2) = 12 – 5x
What is the median, mode and mean?
A cylinder has a radius of 4 cm and volume of 800 cm^3
Explain how a small release of glucagon into the body can cause a rapid increase of blood glucose
A car costs £1200 in a sale. It was reduced by 20%. What was the original price?
What does it mean to ‘earth’ something?
Insulating a home costs £2000 and saves £50 a year. What is the payback time?
What’s the difference between “brain cells” and “neurons”?
Expand the following brackets: (x+3)(x+5). Give your answer in its simplest form.
A circle, C, has an equation: x^2 + y^2 – 4x + 10y = 7 . Find the centre of the circle and its radius?
What is the function of the Loop of Henle?
Find dy/dx of y=e^xcosx
How do bacteria acquire resistance to antibiotics?
What is the law of conservation of energy?
A family goes into a shop, they buy three sandwiches and two packets of crisps
Differentiate y=(5x-2)^5
Ammonia is made from nitrogen and hydrogen in a reversible reaction
What is the function of mitochondria in an animal cell?
Differentiate y = (x^2 + 3)^2
Integrate (sin(2x) + e^(2x+3))dx
Explain the trend in reactivity of group 1 metals.
Given that y = x^4 + x^(1/3) + 3, find dy/dx
Explain how a very high temperature can stop an enzyme from working.
How to differentiate cos(2x)/x^½
A circle with equation x^2+y^2-2x+8y-40=0. Find the circle centre and the radius
If e^(4t) = 6, find an expression for t.
Given that dy/dx = 6x^2 – 3x + 4 And y =14 when x=2. Express y in terms of x
Explain one cause of a tsunami
What conditions allow a firm to sell the same product at different prices?
Compare the structure between graphite and diamond
What is the enzyme lock and key mechanism?
What happens in the light dependent reaction in photosynthesis?
What is the power dissipated by a 12 Ohm resistor when 2A of current runs through it?
There are 10 boys and 20 girls in a class.
Differentiate 5x^2 – 7x +9
How does freeze-thaw weathering occur?
Discuss the evidence for plate tectonic theory.
Explain what the possible results could be from increasing the Euro/US dollar exchange rate
Outline the fundamental Kalam and evaluate its weaknesses
Describe how crude oil is separated by fractional distillation.
Write an equation for the complete combustion of C9H20
What is a stem cell?
How does genetic engineering work?
How do you solve integrals which are the result of a chain rule e.g. the integral of sin(2x+1)
Complete the square of 2x^2+16x-24 and hence state the minimum value of the function
Explain the formation of a corrie
Is Globalisation beneficial for all parties?
A musical instrument produces a sound wave with a frequency of 1000 Hz. The sound wave has a wavelength of 0.34 m in air. Calculate the speed of the sound wave in air.
How do I use Pythagoras to work out the length of a triangle?
Expand and simplify (x+5)(x+7)
When given an equation in parametric form, how can you figure out dy/dx?
What is the best way to prove trig identities?
y=4x^3+6x+3 so find dy/dx and d^2y/dx^2
In what ways were the lives of women in Germany affected by Nazi social policies?
Outline the positive and negative effects of urban sprawl?
Explain why firms in the pharmaceutical industry can charge different prices for the same drug in different countries.
What is consumer surplus? Why is it important?
List 3 halogen elements?
What is enthalpy?
Explain the three stages of drug testing.
Why do mutations make it difficult to create a vaccine ?
State Newton’s 3rd Law in words and/or mathematically
Expand 5a(a+3b)
Why does integration by parts work?
What is the significance of the 1832 Reform Act in Britain?
Which direction of erosion dominates in each part of the river?
Describe the characteristics of oceanic crust.
a) State the electronic configuration of a chlorine atom.
What are enzymes?
How are signals transmitted across the synaptic cleft?
A cannon at ground level is firing at a fort 200m away with 20m high walls
A geometric progression has first term 3 and second term -6. State the value of the common ratio.
How does integration work?
Differentiate 4x^3 + 3x^2 -5x +1
How do you prove that (3^n)-1 is always a multiple of 2?
Find two values of k, such that the line y = kx + 2 is tangent to the curve y = x^2 + 4x + 3
How do I differentiate y = ln(sin(3x))?
Critically evaluate the outcomes of globalisation
Explain why Mao introduced the Cultural Revolution
Governments are the most important players in regeneration’, to what extent is this true for an example you have studied?
Explain one benefit of international trade for UK consumers.
Why does lowering interest rates boost aggregate demand?
How do metals conduct electricity?
Why does potassium react more readily in water than sodium?
What are the main differences between aerobic and anaerobic respiration
If cos(x)= 1/3 and x is acute, then find tan(x).
When is an arrangement a combination, and when a permutation?
Solve 4log₂(2)+log₂(x)=3
In a geometric series, the first and fourth terms are 2048 and 256 respectively
Discuss two consequences of the Tet Offensive (1968).
What is the Development Gap and why is it growing?
Why do waterfalls retreat?
What is the law of demand?
How does an increase in investment affect the economy?
What is an emulsion? And give some examples
Which are four factors affecting the rate of a chemical reaction and how do these affect the rate constant of the reaction?
How do vaccines prevent certain diseases?
Describe the structure of muscle and how it contracts
Differentiate 4x^2 + 2ln3x + e^x
Make a the subject of 3(a+4) = ac+5f
Solve the equation: log5 (4x+3)−log5 (x−1)=2.
Solve the equation 2ln2x = 1 + ln3. Give your answer correct to 2dp.
What was Henry VII’s most poorly planned piece of foreign policy?
Write (3 + 2√5)/(7 + 3√5) in the form a + b√5
Explain what is meant by a multiple hazard zone.
For a hot desert environment or cold environment you have studied, to what extent does that environment provide both opportunities and challenges for development?
Why do the prices of exchange rates increase when interest rates increase? What does it mean that a currency is strong?
Are there any minuses to economic growth?
Describe the structure and properties of graphite
Explain why average bond enthalpies can be used for cyclohexane but not for benzene
How do organelles work together to produce and release proteins from a cell
What is an example of a human effect on biodiversity?
Bob goes on a run. He runs at a constant speed of 5m/s for 30 minutes. How far does he run?
Sasha has a bag containing 12 red beads, and 8 blue beads. She draws a bead from the bag at random. What is the probability that it is blue?
Differentiate with respect to ‘x’ : ln(x^2 + 3x + 5)
If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx.
Why did Clemenceau want a harsh treaty of Versailles in 1919?
What is the greenhouse effect?
Explain human factors contributing to urban growth
What are the factors that could affect the exchange rate?
Using your knowledge of both traditional economic theory and behavioural economics,
When do halogens displace each other in solutions of their salts?
Explain why transition metal complexes are coloured?
Explain the pathway of a reflex, and name the neurones involved.
How are B cells activated?
In a class of 30, the ratio of boys to girls is 2 : 3 , how many girls are there?
What is 64^1/2 equal to?
What is differentiation and what can it tell me?
f(x) = (4x + 1)/(x – 2). Find f'(x)
Show how to derive the quadratic formula
Explain two consequences of the Fall of the Berlin Wall.
Outline 2 key controls on climate in the tropics
Explain why income tax in the UK is an example of progressive taxation.
Assess the impacts of inflation on the UK economy
What is a catalyst?
What is the mechanism for nucleophilic addition reactions at carbonyls?
How does an invading pathogen cause disease?
Marcin buys 7 rulers and 15 crayons for £7. A ruler costs 12p more than a crayon. Find the cost of one crayon.
How can I remember the values of sin60, sin30 sin45 e.t.c in my exams?
How can the cosine rule be derived?
Integrate y=2x^2 +4x-1
How do you show some quadratic polynomials are always greater than 0?
How did the Treaty of Versailles (1919) contribute to the rise of Nazism?
What is the evidence for continental drift?
Explain two disadvantages of specialisation.
What is distillation?
What is a stereoisomer?
How are proteins made?
What is the basic economic problem?
Explain the effect on economic growth if a government increases income tax (ceteris paribus).
Describe what you would see when a piece of potassium is placed on water. Why does this happen?
Describe the Structure and Bonding of Benzene
Explain the concept of recessive and dominant alleles
How does meiosis cause variation?
The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a
What is the difference between voltage and current?
How can I tell if two lines are perpendicular from the equations?
A ladder of length 5 m is placed with the foot 2.2 m from the base of a vertical wall. How high up the wall does the ladder reach?
Solve x^3+2x^2+x=0
What is the binomial distribution and when should I use it?
Differentiate 2x^3 – xy^2 – 4
What are the limits of an inverse tan graph?
Explain why Hitler was able to create a dictatorship in the period February 1933 to August 1934.
Describe the formation of a meander
How does deindustrialisation lead to social issues?
What is a monopoly?
What can the government do to reduce pollution (negative externality from market failure) within the community?
Why do simple covalent molecules compounds have low melting and boiling points?
What’s the difference between an electrophile and a nucleophile?
Describe how a change in temperature affects enzyme activity.
Explain how capillaries are adapted to their function of exchanging substances, giving 3 examples.
Describe two features of the Amicable Grant (1525)
Describe the formation of hotspots and explain their relationship to plate movement.
How are ox-bow lakes formed?
What kind of effect would a national minimum wage have, is it positive or negative ?
Explain why, in a free market, sugary drinks may be overconsumed.
Explain how pressure can effect the rate of reaction
What are the similarities and differences between animal cells and plant cells?
What product would you expect to obtain when reacting
What is the difference between Tumour suppressor genes and Oncogenes?
A truck is carrying 8.5 tonnes of produce.
Solve the simultaneous equations 5x + 2y = 27 and 6x + 4y = 28
Integrate xlnx with respect to x
Differentiate y= (3x^2+2x-6)^8
If y = 2(x^2+1)^3, what is dy/dx?
A block of mass 5 kg is being pushed over level ground by rod at 60 degrees
Find dy/dx when y = (3x-1)^10
Explain why it was difficult to reach agreement at the Potsdam Conference.
Assess the statement that globalisation produces as many losers as it does winners
What are the three main plate boundaries and what do they do?
What is meant by the different sectors of economies?
Explain the Kinked Demand Curve
Describe the relationships between the Atoms in Carbon Dioxide Molecules.
Write an equation for the incomplete combustion of dodecane to produce gaseous products only.
What are chromosomes?
What are phagocytes and how do they protect the body?
A car is accelerating at 2 ms^-2 along a horizontal road
Differentiate y=x^3ln2x
Differentiate y = ln(2x^2)
How do I know which method of differentiation to use?
What are complex and imaginary numbers and how are they different from normal (real) numbers?
Express as a simple logarithm 2ln6 – ln3
Why did Hitler rise to power in 1933?
Outline the formation of a tropical storm?
Explain the formation of a waterfall
What is the Gini coefficient?
Outline the long run effects of the coronavirus pandemic on the United Kingdom if there is no government intervention
Why does graphite conduct electricity while diamond doesn’t?
What is meant by ‘activation energy’ ?
Describe the process of translation
How do the properties of water make it a suitable environment for many organisms?
What are some differences between RNA and DNA?
Explain how an electromagnetic motor works?
Explain the process of nuclear fusion in the Sun.
Festival A will be in a rectangular field with an area of 80000m^2
In Spain, Sam pays 27 euros for 18 litres of petrol.
A new phone costs £679
The length of a football pitch is 90 metres, correct to the nearest metre. Complete the error interval for the length of the football pitch.
Use integration by parts to find the integral of xsinx, with respect to x
How do I simplify surds?
Integrate 5cos(3x – 1) with respect to x
How to solve pulley type questions in mechanics
What are radians, why can’t we just use degrees?
Differentiate the equation y = (1+x^2)^3
Why can’t you divide something by 0?
How did the hyperinflation of 1923 affect the German people?
What is a hurricane and outline the structure of a hurricane
Outline the advantages and disadvantages of one named hard engineering river flood management strategy
Are there any costs as well as benefits to globalisation
What measures could the government take to boost aggregate demand?
Evaluate the likely economic effects of an increase in government expenditure on infrastructure
Why is chlorine more reactive than iodine?
Explain how a hydroxynitrile is produced from a ketone
Explain how eutrophication can result in low oxygen levels in the water in the stream.
What is the structure of a photosystem?
Integrate the following by parts integral (lnx) dx
Let y be a function of x such that y=x^3 + (3/2)x^2-6x and y = f(x)
Find the Binomial Expansion of (1-5x)^4.
Prove that the equation y = 3x^4 – 8x^3 – 3 has a turning point at x=2
Expand and simplify (n + 2)^3 − n^3.
‘America was responsible for the start of the Cold War’
Explain how Genetic modification in terms of food production
Can the creation of a labour union actually cause a loss of employment?
What is market failure?
Describe the difference in boiling point, colour and viscosity between the fuel oil and gasoline fractions.
What is Entropy?
What is a myocardial infarction?
Explain the role of the loop of Henle in producing concentrated urine.
What are the redox reactions involving carbonyls?
What is the definition of osmosis?
What is the difference between velocity and speed?
What is the difference between alpha and gamma radiation?
Factorise fully 15x^3 + 3x^2(y)
Describe the changes in forces experienced by a parachutist after they have started falling
Expand and simplify 4(x + 3) + 7(4 − 2x)
Simplify (x^3)^5
Nimra buys a 3 kg box of sweets for £17.60
Solve Inx + In3 = In6
How do you find the distance a ball travels if fired at speed u and angle theta from the ground?
y=4sin(kx) write down dy/dx.
‘America was responsible for the start of the Cold War’. Discuss
Examine the causes of a challenge to sovereignty in one named country
With reference to the tropical rainforest biome
How does a corrie form over time?
What are the characteristics of oceanic crust?
How have the Big Six energy companies benefited from vertical and horizontal integration?
Discuss the effectiveness of fiscal policy to counter recession
Describe the difference between ionic, covalent, and metallic bonding.
What are the different forms of elemental carbon?
Explain how information passes between neurons in the nervous system
Explain Cohesion-Tension Theory
How does a point mutation in the gene coding for ATP
How can we determine stationary points by completing the square?
The curve C is paramterised by the equations:
Differentiate ln(x)/x
Why did William the Conqueror succeed in the Battle of Hastings
How far do you agree that global governance
Give reasons why tropical storms eventually lose their energy
Identify two key responsibilities of a country’s central bank.
What are the main causes of globalisation?
Balance the equation C4H10 + O2 → CO2 + H2O
How does an acid buffer work?
Describe how pregnancy tests work.
Explain how blood glucose levels are regulated.
How do fossil fuel powered power stations and solar powered power stations generate electricity?
Explain air resistance
This sign was in a doctor’s waiting room
Write the following numbers in order of size. Start with the smallest number. −11 −2 8 −7 3 10
Sonia wants to book a holiday.
Find the values of x and y for which dy/dx = 0 in y= x^3 – 4x^2 – 3x +2
Integrate, with respect to x, xCos3x
Why is the integral of a function the area?
What are the double angle formula?
What were three main causes of the 1929 Great Depression?
Outline the effect of human activity on succession
Explain one advantage and one disadvantage of fracking.
Why is the demand for food relatively price inelastic?
Discuss whether taxing the manufacturers of high-sugar drinks
Why can sodium chloride conduct electricity in the molten state but not in the solid state?
Explain why hydrogen bromide has a higher boiling point than hydrogen chloride.
Explain what is meant by “active transport”?
Understanding Cell Biology: The Foundation of Life
Why does log a + log b = log (ab)?
Differentiate and factorise y = x^2(3x + 1)
Find the equation of the curve with gradient dy/dx=(4x-5) which passes through (3,7)
What is deadweight welfare loss?
During the cardiac cycle , there is a delay between
Explain what the terminal velocity of an object is.
Alpha particles, beta particles and gamma rays
Write 0.4 as a percentage.
Write down a 3 digit number that is a multiple of 5
Here is a list of numbers. 3 3 3 3 4 4 5 7 8
Explain the Normal Distribution
A girl kicks a ball at a horizontal speed
Differentiate The Following function: y = (x^2+7)^1/2
How to find dy/dx in terms of t for two parametric equations that are in terms of t.
How do I write a really good History essay?
To what extent does plate tectonic theory help in understanding
Explain how El Niño cycles can lead to drought.
What are economies of scale?
Discuss pricing and non-pricing strategies
Describe and explain the changes between sulphuric
What is enthalpy and how can it be calculated?
Exercise increases adrenalin levels.
Why does a plant not take in all of the light energy that reaches their leaves?
Differentiate the function y=4sqrt(x)
Solve the following integral: ∫ x^3 *ln(2x) dx
What are the roots of 3x^2 + 13x + 4 ?
What is inflation?
It is the oil price crash of 2014, and the Norwegian government is fearing a recession
What is the difference between a nerve synapse and a neuromuscular junction?
Describe the control of heart rate
The town of Hornsdale in Australia has electricity supplied by a huge battery
A negatively charged rod is held near an earthed conductor.
Write 1476 to the nearest 10
Work out (7/10 – 4/15) ÷ 2/3
Divide 62 in the ratio 3 : 7
Express cos(2x) in the form acos^2(x) + b, where a and b are constants.
Differentiate, e^3x + ln 2x
Integrate sin7xcos3x
How far do you agree that global governance is crucial in meeting the challenge of reducing incidence of wildfires?
Suggest two ways a coast can be protected by soft engineering
Describe with a real world example, price elasticity of demand
What are the assumptions of perfect competition?
What is a method that you can use for balancing equations?
What shape does XeF4 take?
Give two ways of improving the method used to obtain the data needed to calculate the heart rate.
Why is the model of the structure of biological membranes described as ‘fluid mosaic’?
Evaluate the integral ∫2x√(x^2 +1) dx
Find the cartesian equation when x=ln(t+3) and y= 1/t+5
Integrate x^2 + 3x + 4
Solve x^2 -6x +2 < -3
Examine the short term causes of Russia’s 1917 Revolution.
Assess the significance of the Gestapo
Outline the concept of the Hazard Management Cycle.
What does Hjülstrom curve show?
Discuss the impact of an urban transport sustainability scheme you have studied.
What are some main solutions for consuming negative externalities, such as smoking?
Using real life examples, explain the differences between the different market structures.
Why is supply side policy used a lot in modern economies?
How can a depreciation in the home currency impact the trade balance?
What happens when CaCO3?
What is a covalent bond?
Describe and explain the reactivity trend of the Group 2 elements
How can you tell if a reaction is feasible and what factors contribute towards this?
Explain the uses of auxins, gibberellins and ethene
Excessive weight gain and obesity increase the likelihood of developing type 2 diabetes
What is the role of succession and how does this maintain ecosystems?
How is DNA packaged within Eukaryotic Cell nucleosomes
Work out –4 × – 7/9
Work out 0.37 × 0.26 Give your answer as a decimal.
What is 214 × 30?
A student rubbed a plastic rod with a cloth.
For one type of insulating material, the temperature
What impact did Louis Pasteur have on modern medicine?
To what extent were Stalin’s five year plans a success?
Outline the differences between constructive and destructive plate margins.
Explain how human factors affect a population’s vulnerability to flooding
What are the short term pricing differences in the different market structures?
Do you think that the overall benefits of HS2 are likely to be greater than the costs? Discuss.
When to know to use partial fractions and polynomial long division?
Find dy/dx when y = (3x – 1)^10
Differentiate f(x) = (3x + 5)(4x – 7)
Given that d/dx(cosx)=-sinx
The rate of growth of a population of micro-organisms
Why is profit maximising at MC=MR?
Describe one effect of an increase in the rate of interest on the economy?
In the electrolysis of sodium chloride solution
Zinc chloride and zinc carbonate contain ions
How do you form a Born-Haber cycle?
Name the reagent and explain the process of 1-bromoethane into propanoic acid
When taken correctly, the combined pill can be over 99% effective.
The combined contraceptive pill contains artificial
Describe the function of ribosomes in protein synthesis.
Describe the secondary structure of a protein.
Outline processes by which glaciers erode the landscape
The only animals on a farm are 30 cows and 80 sheep
Simplify fully 8a + 5b + 6a – 2b
What is the sum of 1 to 100?
How to “study” mathematics, not just learn?
Integrate sin(x)cos(x)^2 from 0 to π/2
How to complete the square?
A curve has equation y = x^3 – 48x
How important was Bismarck in keeping the political
What benefits did the First World War bring to the American economy?
Using a case study, explore the ways in which population growth can be controlled
How does erosion occur on the river bed?
Explain two possible external benefits of HS2.
Define the term ‘social cost’.
In the UK 7% of children are privately educated compared with 24% in Japan
Between 2010 and 2015 the average price of tea in the UK increased
What actually are sin, cos and tan?
A sample of molten potassium bromide is electrolysed
Metal objects can be electroplated with gold.
Explain the trend in atomic radii from Lithium to Fluorine?
Aluminium alloys are used instead of pure aluminium in aircraft manufacture
Why is the Mg2+ ion smaller in radius than the Na+ ion?
Explain why increased nitrate levels in the soil improve crop yield.
Explain how crop rotation increases nitrate levels in the soil.
Find ∫(8x^3+6x^(1/2)-5)dx
Given that y = 2^x, express 4^x in terms of y.
Was King Henry II responsible for the eventual
Who won the Cuban Missile Crisis?
What is the percentage that is between ½ and ¾?
A circle has a diameter of 10 cm. What is the radius?
Explain one key economic decision for a producer.
Explain one possible disadvantage to a firm
Explain the likely impact of diminishing marginal
Discuss the decision by Jet2 to increase its
How to use the product rule?
If f'(x)=3x(x – 1), find f(x)
Show that (x+2) is a factor of f(x) = x^3 – 19x – 30
State box two features of a non-competitive market.
Explain one benefit of specialisation for an
Discuss the proposed government subsidy to prevent
Assess whether Thomas Cook’s failure was caused
Waste water can be used to produce drinking water.
What are the differences between covalent
What is a test for iron(III) compounds?
What term describes the relationship between
Give two reasons why only some of the energy
Integrate the function f(x) = ax^2 + bx + c over the interval [0,1],
Write (x+1)(x-2)(x+3) into the form of ax^3 + bx^2 + cx + d
How far were the Nazis in control of the German people between 1933 and 1945?
How do you differentiate y=x^x?
What is more important in reducing the impact of Earthquakes, Prediction or Mitigation?
Describe the processes in the formation of a coastline.
Explain the likely impact of diminishing
A human body has 5dm3 of blood.
What is the length of time between
There are only 7 blue pens, 4 green pens and
A triangle has sides a,b,c and angles A,B,C
Why is the derivative of x^5 equal to 5x^4?
Find the equation of a Circle with centre (2,9) and radius 4.
How should I structure a history essay?
Why was internment introduced in
Outline and evaluate the Social Learning
Explain the formation of bays and headlands
What is necessary for revenue maximisation to occur?
A sample of potable water contains impurities.
What is necessary for a firm to be able to
An acid reacts with an alkali
Which has a lower boiling point chlorine
Name one structure that is found in veins
Describe two features of the structure of xylem vessels
A circle has equation x^2 + y^2 + 2x – 6y – 40 = 0
Differentiate ln(x^3 +2)
Solve x: e^(3x-9) = 8
How do you find the coordinate of where
Why did Labour win the 1945 election?
Explain the likely impact of migration on
Work out the shape of an SF6 molecule
How to calculate rate coefficient units
Living cells in phloem use energy to
Carbon dioxide diffuses from the body
Sean works for a company
Find the general solution to the differential
Prove by contradiction that 2^(1/2)
Express 3/2x+3 – 1/2x-3 + 6/4x^2-9
What were the reasons that led to Hitler’s rise to power?
How to express (x + a)/(x + b)^2
How to structure a 16 mark answer?
Outline the role of waves in the transportation
What is a conservative plate boundary?
How effective are coastal management schemes
Explain one reason why an individual consumer
State two different examples of the factor of
Evaluate the case for a reduction in the regulations
Evaluate the effectiveness of using monetary policy
Give the molecular formula and the empirical
The theoretical maximum yield of zinc oxide was 1.86g
Why does reacting a bromoalkane with ammonia
What is Le Chatelier’s principle?
Bloodworms have a high level of haemoglobin
Which species also indicates that the water is polluted?
When a person walks on a tile, a potential difference
Describe a method a student could use to determine
In most homes in the UK there are many different
On one day the demand for electricity in the UK
Some of the energy from the wind used to rotate a
The mean power output of the wind farm is 696 MW
How do you know if the second derivative of an equation
Integrate xsin(x) with respect to x
In which jobs are earnings likely to be highest?
A 5% decrease in the price of newspapers leads to
Assess the benefits to the UK economy
Assess the likely impact on the UK economy
To what extent can an understanding of feedback
Outline the role of wind in the process of transport
Using the Quotient rule
Why is the differential of a constant zero?
Show that (1 – cos(2x)) / (1 + cos(2x))
How can I find the normal to a curve at a given point?
Solve the equations 2x + 3y = 18 and x + y = 6
What is an inverse function?
The volume of liquid in a container
A circle C with centre at the point (2, –1)
Differentiate x^2 ln(3x) with respect to x
Find the turning points of the
Given y = x^3 + 3 find the equation of the tangent
Solve the simultaneous equations
Find the derivative of arctan(x)
Given y = cos(3x)cosec(5x). Find dy/dx.
Given y = 2xsinx. Find dy/dx.
Why do we use the trapezium rule?
What is the formula for the trapezium rule?
What is the formula for integration by parts?
A particle P of mass 2 kg is held at rest in equilibrium
What is the integral of (ax + b)^n?
What is a non-uniform rod?
What is the integral of 1/(ax +b)?
What is the moment of a force?
Simplify 7 × e × f × 8
A stone slides horizontally across ice.
Solve x/5 = 2.5
What is a column vector?
Write 7.26451 correct to 3 decimal places.
What is a unit vector and why are they used?
Work out the value of 2^4
How do you add vectors together?
What is the integral of e^(ax + b)?
What is the triangle law for vector addition?
How to find the area under a curve?
What is the integral of 2x^3 – 4x^(-2) + 4x?
Integrate x^2 between the limits of x = 2 and x = 3
What is a definite integral?
Why do we have a constant of integration?
What is an indefinite integral?
‘In the years c1600–c1900, the use of transportation
Of all the vehicles made in the UK
Explain one reason why there is less likely
Evaluate the importance of wage costs in influencing
Write 6.75 × 10^−4 as an ordinary number.
There are 30 women and 20 men at a gym
What is the reverse chain rule?
Assess the likely economic impact
The UK has a legal minimum wage
Assess the usefulness of the GINI
Discuss the likely impact of low productivity
Analyse two factors influencing labour productivity in
When an equation is written for this reaction
Give the name of the apparatus that should be used
Viruses can cause disease.
What symbol is used to represent integration?
Find the coordinates of the stationary point
Given y = x^3 – 3x^2 + 3x has (1 , 1)
What is a stationary point?
What is a second order derivative?
Determine the equation of the tangent
What is meant by normal to a curve and how to find its equation?
What is meant by tangent to a curve and how to find its equation?
Find the gradient of the curve y = 2x^2 – x -1
If y = 1 what is dy/dx?
What is the derivative of ax^2 + bx + c?
If f(x) = 10x^-1 then what is the derivative?
If y = x^6 what is dy/dx?
Evaluate the impact of low or negative economic growth
Analyse the likely impact on the market
If y = x^n then what is dy/dx?
How do you actually find the derivative of a function?
How to find the gradient of a curve at any given point?
What is the notation that is used for differentiation?
What is differentiation in mathematics?
Write 87569 correct to 3 significant figures.
Amol, Gemma and Harry each have a number of sweets.
208 bars of chocolate were sold from a shop
Here is a list of numbers. 5, 11, 18, 22, 29
Write 19.4949 correct to the nearest whole number.
Write down the value of the 2 in the number 12345
Write the following numbers in order of size
Assess the potential factors which can impact
Outline the relationship between the water cycle and the
What is an example of a variable cost?
What would be included in the tertiary sector of an economy?
What could lead to a reduction in the quantity supplied of a product?
What best describes equilibrium price in a market?
Evaluate the impact on European firms of the growing
Give the atomic number of lithium.
Describe how to make a solution from a solid in a test tube.
In some countries, toothpastes contain nanoparticles of silver
Give a reason why plastic is a suitable material to make a toothbrush handle.
A student wanted to investigate how effective three different
Bacteria have been genetically engineered to produce human
There is a shortage of kidneys for organ transplants.
The value of Michelle’s car has decreased by 15%
Jessica runs for 15 minutes at an average speed of 6 miles per hour.
Make p the subject of the formula d = 3p + 4
Find the points of intersection of the parabola
A curve has parametric equations x = tan^2(t)
The curve C has parametric equations x = t^3 – 8t
A curve with parametric equations x = 2 cos 2t
A curve C with parametric equations
The cartesian equation of the circle C
The points Q (1, 3) and R (7, 0) lie on the line l1
The curve C has an equation
‘The idea of retribution was the main factor
The curve C has parametric equations
The line l1 passes through the point A (2, 5)
The curve C has equation
Explain why there were changes in the use of prison
Factorise completely x^3 – 4x
A line L is parallel to y = 4x+5 and passes through the
What is the formula to find the area of a sector?
Water has two significant anomalous properties
Using the identity cos2θ = 1 – 2sin^2(θ)
What is the formula for arc length?
Find an equation of the line p which passes through
The points A(1,7), B(20,7) and C(p, q) form the vertices
What is Ionic bonding?
Sinita wants to make 35 picture frames
The line L has equation y = 5 – 2x
Here are the first five terms of a number
What type of reaction occurs when ammonia
The line l1 has equation y = 3x + 2 and the line l2
The point A (–6, 4) and the point B (8, –3) lie on the line L
Suggest why it is more important for the survival
Simplify 2m × 3
Wallace and Darwin did not always agree
Alfred Russel Wallace travelled around
Work out the lowest common multiple (LCM) of 24 and 56
Write down two factors of 12
The mitotic index is often used in the
Assess the impact of Multinational Corporations (MNCs)
Work out 1/4 of 28
Assess the benefits of being a member of
Write 35% as a fraction.
Discuss the possible impact of economic growth
Write 0.0874 correct to 1 significant figure
How to convert between radians and degrees?
Write 2530 correct to 2 significant figures
Explain one way in which attitudes towards the crime
Describe two features of the work of H Division in the policing of Whitechapel.
Factorise 4p + 6
Explain two processes of glacial erosion.
Given y = (2x + 1)^4. Find dy/dx
Solve 3y/4 = 12
Do you think the UK Government
Explain two methods the UK Government
Expand 3(4 − 2x)
Prove that the line y = 3x − 10 does not
Evaluate the extent of the trade-off between
Assess the use of fiscal policy
Here is the shoe size of each of 12 boys in a class.
Assess the impact of exchange rate
Write 60 metres as a fraction of 1000 metres.
Discuss the usefulness of GDP
Bromine disproportionates in water to a
Explain why the disproportionation of bromine
What are small angle approximations?
What is the colour of iodine
Describe what is produced when
A line has gradient −4 and passes through the point
A student was investigating mitosis in the roots
Define the term ‘wage differentials’
Explain one possible business objective
Explain one reason why an individual’s wants may change over time.
Tesla held an 82% market share of the electric
Some occupations in the UK are facing large
Explain one type of internal economies
What is most closely associated with tacit collusion?
State one factor that affects the rate of glacier movement
What is a radian?
Explain two secondary hazards caused by earthquakes.
Assess whether development and governance
Explain the tectonic hazards that may result from volcanic activity
Past records suggest that 30% of customers who
Calcium reacts with chlorine.
Explain how the trend in the reactivity of the Group 2
What does a change of sign indicate?
An experiment was carried out to determine the molar volume
What is a root of a function?
A curve with equation y = 3x^2 + 24/x + 2
New antibiotics are being developed to treat the disease
Klebsiella pneumoniae is a prokaryotic cell
State how the use of antibiotics could contribute
What are numerical methods?
In 2017, a new strain of Klebsiella pneumoniae
A curve has equation y = 2x^3 – 4x + 5
State the sense most likely to be affected if the occipital lobe is damaged.
Find the derivative of 3x^2 from first principles.
Which part of the brain contains the occipital lobe?
The curve with equation y = x^3 – 10x^2 + 27x -23
Which part of the eye contains light receptor cells?
A curve has equation y = 5x^4 – 24x^3 + 42x^2 – 32x + 11. Find:
HIV is another sexually transmitted infection
A curve has equation 3x^4 – 8x^3 – 3. Find:
Explain why chlamydia can be treated with antibiotics.
A curve has equation x = 4sin2y
Give one way the transmission of chlamydia can be prevented.
A curve has equation y = x^2 -2x -24x^(½)
A curve with equation y = 3x^2 – 2 has the point P(2, 10) on it.
The curve C has equation y = 2×2 – 12x + 16
Show, that the function
Given x=2sint, y = 4t find dy/dx at t = π
What is the derivative of cosecx?
Differentiate e^(x^2 – 4x + 2)
What is the quotient rule?
Differentiate (sinx + cosx)^5
What is the derivative of lnx?
What is the derivative of a^x?
What is the derivative of e^x?
Work out (4 × 1^3 ) × (6 × 10^−5)
Write 438 000 in standard form.
Write 1.63 × 10^−3 as an ordinary number.
A delivery company has a total of 160 cars and vans
A factor which affects AD can easily affect AS
During recessions the government needs to
There can be equilibrium at less than full employment
Keynesian LRAS
State why chlamydia
A student wanted to extract the DNA from fresh peas
What is the shape of a DNA molecule?
DNA molecules contain base pairs
Name the process that forms gametes
Some plants reproduce sexually
Write 124 as a product of its prime factors.
Solve 7x − 27 < 8
Prove that the derivative of sinx is cosx
Increase 240 by 20%
A competitor is running a 20 kilometre race.
Savio leaves his home at 07: 30
f (x) = −3x^3 + 8x^2 − 9x + 10
Given that 2.96 × 3.2 = 9.472
Show that the equation 4 cos θ – 1 = 2 sin θ tan θ
Solve, for 0 < θ ≤ 450°, the equation 5 cos^2(θ) = 6 sin θ
y = 6x − 5
Solve, for 360° ≤ x < 540°, 12sin2x + 7 cos x – 13 = 0
There are 15 sweets in a jar
In a triangle ABC, side AB has length 10 cm,
Work out 3/10 × 5/8
Conditional probability formula
Suggest one way hazard management strategies
Define set notation in a sample space
Solving conditional probability problems
Plate movement can be explained by
The meaning of independent events
Explain the formation of wadis
How to analyse the motion of a projectile?
What are the constant acceleration formula?
What is national output?
What is a velocity time graph?
What is meant by perfectly inelastic?
How to calculate average speed?
Classical LRAS
How to calculate average velocity
What is the difference between
What is displacement?
What are AD and AS curves?
What is i, j notation?
Equilibrium levels of real national output
What is a vector?
Prove that the derivative of cosx is -sinx
Work out 5/12 + 1/6
At the end of October, Fiona’s electricity
In Norway last year, the lowest temperature was −15°C.
Simon buys some candles.
Write down the value of the 6 in the number 16007
Simplify e + e + e + e
Change 40 centimetres into millimetres.
Explain the formation of roches
“Climate change is the most important factor
Evaluate the following statement.
Explain one opportunity cost a firm might
Explain one meteorological cause of drought.
State two factors of production.
A 20% increase in the price of lawnmowers l
Explain one factor that may lead to an increase
Explain one economy of scale.
Injections and withdrawals
Income and wealth
The circular flow of income
Name one of the global atmospheric circulation cells
Examine the role of erosional processes in the formation of glaciers.
Explain one impact of drought on people
Explain one impact of freeze thaw weathering on landscapes.
Simplify n^3 × n^5
State one type of glacial erosion process.
The equation of a curve is y = 4x^2 − 56x
Change a speed of 180 km per hour to meters per second.
Solve 6x^2 + 5x − 6 = 0
Make a the subject of the formula p = 3a − 9
Change 8000 cm^3 to m^3
Chanda buys a necklace for £120 She sells the necklace
A and B are points on a centimeter grid
Write down the coordinates of the turning point of the graph of y = x^2 − 6x + 4
Write down the y intercept of the graph of y = x^2 − 6x + 4
In A Level mechanics, what is gravity?
In A Level mechanics, what is air resistance?
In A Level mechanics, what is a smooth and light pulley?
In A Level mechanics, what is a rough surface?
In A Level mechanics, what is a smooth surface?
In A Level mechanics, what is an inextensible string?
In A Level mechanics, what is a light object?
In A Level mechanics, what is a uniform body?
In A Level mechanics, what is a lamina?
In A Level mechanics, what is a rod?
In A Level mechanics, what is a particle?
Examine the role of erosion processes and geology
Explain one reason why sediment size usually
State one type of sediment transportation process.
Explain one way that constructive waves can affect beaches.
What is not classed as a factor of production?
State two characteristics of a competitive market.
Give a reason for diseconomies of scale
Evaluate the view that international trade
Explain reasons for changes in the value of exports
Evaluate the view that supply-side improvements
Explain the main problems for an economy
Assess the view that floating exchange rates
What is classed as an economic resource?
In which occupations do wages tend to be lowest?
What would be an opportunity cost to the owner of a factory buying a new machine?
State one type of mass movement process
Explain one reason why igneous rocks often have large crystals.
State one characteristic of a sedimentary rock.
Name one type of metamorphic rock.
Is inflation a problem?
Explain how expenditure-switching policies
Evaluate whether the best way to reduce inequality
Explain the main causes of inequality in the distribution of pre-tax incomes.
Evaluate the view that government failure
Explain the difference between complete and partial market failure.
Here are the first five terms of an arithmetic sequence
The nth term of a different sequence is 8 − 6n
Solve 1/x − 1/( x + 1) = 4
Work out the value of (8/27)^(4/3)
Prove that (2m + 1)^2 − (2n – 1)^2 = 4(m + n)(m − n + 1)
Solve the simultaneous equations 5x + 2y = 11 and 4x + 3y = 6
Two numbers m and n are such that m is a multiple of 5
Find the stationary points on the curve y = x^3-3x^2+1 and investigate their nature
Find the equation of the circle, centre (1, 2), which passes through the point ( 2, 3).
P is the point (3, 8). Q is the point (-1, 5). Find the equation of PQ.
Find the equation of the line with gradient 2 and passing through (3, -1).
Two numbers m and n are such that
Factorise x^2 + 10x + 9
A storage tank exerts a force of 10000 newtons on the ground
Emma writes down three numbers m, n and p. n = 2m and p = 5n. Find m:p
Assess the view that high-speed Internet connection
Explain how the price mechanism allocates resources in a market economy.
What is indirect tax?
What is income elasticity of demand?
Find the gradient and the y-intercept
A is the point (2, -6). B is the point (-3, 4).
Freddie and Louis each start with the same number of sweets.
At a coffee shop Americanos
Find the definite integral of (2x – x^2) between the limits 2 and 1
Using recent data provided by the low-cost
X ~ B(10,0.6). Find the expectation of X
Using recent data provided by the low-cost airline
What is the expectation of a binomial distribution?
When is the binomial distribution a suitable model to use?
What is the formula for a binomial distribution?
State one method of sediment transport along the UK coastlines.
Freeze thaw is an example of a weathering process.
What is informal work?
Identify one example of an igneous rock.
What is formal work?
What is an urban economy?
What is a megacity?
If a plantlet touches soil, it will grow roots and become a new plant.
Cystic fibrosis is a genetic condition that can also cause liver disease.
State two pieces of health advice for people about drinking alcohol.
Rizwan writes down three numbers a, b and c a :b = 1 :3 b : c = 6:5.
Here is a list of 8 letters. B C A A A A B A.
Work out 0.004 × 0.32
Write 500 as a product of powers of its prime factors.
A shop sells jars of coffee.
There are 84 calories in 100 g of banana.
What is the incidence of tax?
What is habitual behaviour?
What are externalities?
What is a one tailed test in hypothesis testing?
What is a binomial distribution?
What is a critical value in hypothesis testing?
When to do a two tailed test in hypothesis testing?
How to find the area of a triangle given two sides and an angle between them?
Why are there sometimes two values for sine?
The circle C has equation x^2 + y^2 − 10x + 4y + 11 = 0
What is the cosine rule?
Solve sin(x + 60) = 0.3 between 0 and 360
Simplify 5sin^2(3x) + 5cos^2(3x)
Why does tanx = sinx/cosx?
Trig identities
What occupations would be included
Fish and chips are complementary goods
Do you think the UK government should
Explain two possible consequences of the oligopolistic
Define oligopoly
Explain one possible cause of monopolistic
Explain one possible effect on the equilibrium
Exact values of trig ratios?
Trig identities
What is cos(-50) in terms of an acute angle?
What is sin240 in terms of an acute angle?
A company made a profit of £20 000 in its first year of trading, Year 1
What is a CAST diagram?
What are partial fractions?
The range of validity in a binomial expansion
What is a recurrence relation?
What does the sigma notation represent?
What is the sum to infinity?
What are the formulas for an arithmetic sequence?
What is a sequence?
Find the coefficient of x^4 in the expansion (2 + 3x)^10
What is factorial notation?
Expand (2x – 5)^4
Expand (x + 2y)^3
What is urbanisation?
What is population density?
Alcohol is broken down by liver cells.
What is an urban area?
Define decentralisation
Describe one difference between the phalanges
Define counter urbanisation
Which of the following saw more change as a result of Lenin’s policies
Describe one difference between the humerus
Define commuter village
Define Central Business District
The book ‘On the Origin of Species’ was published in 1859.
What is excess demand?
What is government failure?
Describe two ways that stone tools and fossils can be dated to find out how old they are.
What is excess supply?
What is the free rider principle?
What is the name of the organism that causes disease?
What is a free market?
What is meant by excess supply?
What is meant by Division of labour?
What is Diminishing marginal utility?
An atom has a radius of 1 × 10^−10 m.
Silver nanoparticles can be added to the material used to make socks.
Coarse particles, fine particles and nanoparticles are all small particles.
Which ion is produced by carbonic acid in aqueous solution?
What is a property of a diamond?
Which gas is produced when
What is Pascal’s Triangle?
Give one observation you would
How to find the intersection of a straight line and curve?
Find the centre and radius of the circle with equation x^2 + y^2 – 4x – 6y = 3
What are the two forms for the equation of a circle?
What is a perpendicular bisector?
Finding the midpoint of a straight line
Gradient of a straight line
Finding the distance between points on a straight line
How to solve quadratic inequalities?
What is a linear inequality?
Solve 3^2x – 10 × 3^x + 9 = 0
Rationalise the denominator of (2+3√5)/(3−√5)
Solve 3x – 2y = 4 and 4x + 7y = 15
Find x if 9^2x = 27^(x + 1)
What is a function?
How to solve quadratic equations
What is the discriminant?
The general quadratic equation
Rationalising The Denominator
Expanding Brackets
What are the four main laws of indices?
Negative and Fractional Indices
Prove if the statement is true or false
What is proof by counter example?
How do you prove an identity?
What is the Economic Problem?
What is Diminishing Marginal Utility?
What is Cross elasticity of demand (XED) ?
The functions f and g are defined by
What is Consumer surplus?
In what ways were the lives of people in the USSR
Describe two problems faced by the people of the USSR during the Terror.
Which box of the following was the more important
In what ways were the lives of the German people
Which of the following was the more important reason
In what ways were the lives of people in the Southern states
Increasing the amount of insulation in a house affects
A panel of solar cells has an efficiency of 0.15.
A student reacts an acid with an alkali in a titration.
Why do the elements in Group 1 of the modern periodic
Describe how to obtain sodium chloride crystals from sodium chloride solution by crystallisation.
An atom of element Y has: an atomic number of 9 and a mass number of 19.
A garden is in the shape of a rectangle 90 m by 60 m.
Write the ratio 4.5 : 2.25 in the form n : 1
P = 7r + 3q Work out the value of P when r = 5 and q = –4
There are y boats on a lake.
Dave goes into a cafe and buys 2 cups of coffee
Find the highest common factor (HCF) of 72 and 90
Deon needs 50 g of sugar to make 15 biscuits.
Explain the formation of geos.
What is a nuée ardente?
Suggest how one geomorphic process
How is a rift valley formed?
What are Complementary goods?
Attempts at managing glaciated landscapes cannot address
What is Ceteris paribus?
Capital Goods
Capital
What is proof by deduction?
The 7th term of an arithmetic progression is 6.
Describe two problems faced by the German people
The first term of a geometric series is 8.
Find the indefinite integral of x – 3/x^2
Use calculus to find the set of values of x
Express 5x^2 + 20x + 6 in the form a(x + b)^2 + c.
Factorise n^3 + 3n^2 + 2n.
Find the discriminant of 3x^2 + 5x + 2.
Expand (2x + 5)(x − 1)(x + 3), simplifying your answer
Assess the role of climate in the formation of fluvio-glacial landscapes.
What is the geomorphological process of nivation?
Explain one positive externality that could result from building a new motorway.
State two types of economy of scale.
Asymmetric information
What is meant by Command economy?
Ad valorem tax
What is aggregate demand?
Ionisation energies provide information about the
Write an equation to represent the first ionisation energy of hydrogen
Rearrange the following equation to make h the subject
Rearrange the equation 5c + 9t = a(2c + t) to make c the subject.
You are given that f(x) = x^2 + kx + c.
Express 3x^ 2 – 12x + 5 in the form a(x – b)^2 – c.
Find the coordinates of the point of intersection
Make r the subject of the formula
Find the indefinite integral of xsinx
Find the turning points of the equation y=4x^3-9x^2+6x
Change 1756 grams to kilograms.
f(x) = x^3 + kx – 2
f(x) = 2x^3 – 7x^2 – 17x + 10
How to prove that root 2 is irrational
What are the characteristics of periglacial areas?
How far do you agree that human activity has a greater role than natural processes in shaping coastal landscapes?
Outline characteristics of patterned ground.
Assess the view that wind is the biggest factor in determining the impact of energy in coastal environments.
Outline characteristics of constructive waves.
What is wave quarrying?
A 25% increase in the price of chocolate bars leads to a 5% fall in quantity demanded.
In January 2018, the minimum wage in Andorra increased to €5.87 per hour.
Sea cucumbers are marine animals that have an important role
Describe one factor that may influence the growth of a firm.
There are many health warnings about the dangers of eating too much sugar
Define the term consumer.
The sequence of the first three elements in the Periodic Table is hydrogen
In the UAE, 87% of Dubai’s shopping malls are owned by just five firms.
The curve C has the equation cos2x + cos3y = 1, Find dy/dx in terms of x and y.
Calculate the income elasticity of demand (YED)
Explain what is meant by the term ‘sustainability’
There are 40 students in a class.
State the formula used to calculate income elasticity of demand for a product.
The length of a line is x centimetres.
State one factor of production used in the production of organic food.
What is an external cost of production?
Solve t + t + t = 12
Solve 6w + 2 = 20
Explain why the first ionisation energy of sulfur is lower than that of phosphorus
Explain why the first ionisation energy of sulfur is lower than that of chlorine
Harry is planning a holiday for 4 people for 7 days.
A student suggested that the difference
Write down a prime number that is between 20 and 30
What does the bonding in magnesium result from?
Work out 10 x (3 + 5)
Explain why iodine and chlorine have many similar chemical reactions.
Write 180 minutes in hours
Complete the electronic configuration of an aluminium atom.
Elena spent 120 minutes at a sports centre.
Proving a statement using mathematical contradiction
How to differentiate 2^x
Find the equation of the tangent of the curve y = x^3+ 4x^2-2x-3 when x = -4
Differentiate xsin2x
Give two disadvantages of generating electricity using nuclear power stations.
What is the product rule and how does it work?
What are the trig identities?
How does Integration By Parts Work?
Which process can lead to eustatic sea level change?
What is the null and alternative hypothesis?
How to remember the reciprocal trig functions
Find the derivative of y = xsinx
What is the second derivative used for?
What is the chain rule?
Finding dy/dx if given two parametric equations
Fay is planning a trip to a theme park for 1 adult and 2 children.
Work out 20 ÷ (3 + 2)
Write 6324 correct to the nearest thousand
The equation of the line L1 is y = 3x – 2
Work out 54.6 × 4.3
Azmol is paid £1500 per month.
What is a normative statement?
With reference to a river catchment that you have studied
What is a public good?
When is an economy allocatively efficient?
What is a feature of a market economy?
What, according to traditional economic theory, is it assumed that a firm will seek to maximise?
When is productive efficiency achieved?
What is a consequence of using money rather than a barter system?
What describes a free good?
What is the domain and range of a function?
The total power input to a pumped storage power station is 600 MW
How far do you agree that changes to the carbon cycle will lead to increasingly severe storm events?
What is the main role of firms in a market economy?
How to integrate lnx
Give two reasons for taking repeat readings in an investigation.
Outline the process of photosynthesis in the carbon cycle.
What is the standard rule of integration?
Solve 4(x – 5) = 18
Due to excellent growing conditions the wheat harvest
What is the standard rule for differentiation?
Which factor of production receives the reward of interest?
5 tins of soup have a total weight of 1750 grams
There are only 7 blue pens, 4 green pens and 6 red pens in a box.
How to find the derivative of tan(x)
A farmer has 20 boxes of eggs.
Sean works for a company. His normal rate of pay is £12 per hour. When Sean works
Which factors do not affect the rate of overland flow?
How to use the discriminant in geometry
Fahima buys 2 packets of bread rolls costing £1.50 for each packet 1 bottle of ketchup
The heights of females from a country are normally distributed
Work out 60% of 70
Find an equation of the straight line passing through
Evaluate the likely microeconomic effects of government intervention in the UK housing market.
The line l 1 has the equation 2x + 3y + 5 = 0
Write 4/5 as a percentage.
Where are the typical stores of water within the lithosphere?
If the cross elasticity of demand between two goods is –1.2 what are the two goods?
Make x the subject of the formula
Find ∫(x + 4)(x – 3) dx
In a free market economy what is the function of the price mechanism?
Write 7.264 51 correct to 3 decimal places
State one example of an occupation in the tertiary sector of the economy
What is meant by the term mixed economy?
When is productive efficiency achieved?
A firm has total costs of $500 and sells each item at a price of $50.
What is the main role of firms in a market economy?
Due to excellent growing conditions the wheat harvest is much greater than is usual. What impact would this be most likely to have on the equilibrium price and output of wheat?
Which factor of production receives the reward of interest?
Evaluate the case for government provision of goods and services such as flood defence schemes or housing.
What are positive externalities?
Evaluate the likely microeconomic effects of government intervention in the UK housing market.

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