November 2022 GCSE Maths Part 2

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November 2022 GCSE Maths – Introduction

In this article we are going to look at the November 2022 GCSE Maths Foundation Paper. There are a total of 26 questions on the paper and we are going to look at questions 13 to 20. The final 6 questions will be posted in another article which will be posted very soon.

The questions in this article will start to get a little more difficult and it is these more worded questions that you need to make sure you are able to do in order to secure a minimum of a grade 4 at GCSE Foundation. 

November 2022 GCSE Maths - Q 13 - Q15

Q13 

 

Take note of the last sentence “you must show how you get your answer”. So in order to secure marks you need to show some working out. 

This is a best buys question and a like for like comparison is always needed in order to determine which deal offers the best value for money. 

For the 2 pint bottle. 

You are getting 6 pints in total for the price of £1.50 which means that each pint costs £0.25

For the 4 pint bottle

You are getting 8 pints in total for the price of £1.92 which means that each pint costs £0.24

This means that the 4 pint bottle deal is the best value. 

The way that the question was answered is that a like for like comparison was needed, in this case 1 pint.

Q14

This is a simple collecting like terms question and this is a very easy 2 marks to gain. It is important to remember that you do not need to do all the questions in order. Do the questions that you are most confident with in order to gain as many marks as possible and as quickly as possible. 

7 c+6 d

Here you need to solve an equation. You can either expand the brackets initially or you can divide the 40 by 5. It is a case of your own preference when it comes to maths questions. 

\begin{aligned} 10 m-30 & =40 \\ 10 m & =70 \\ m & =7 \end{aligned}

With a question like this you need to consider how you would answer the question if you were dealing with numbers. You will see that you will need to perform a multiplication in order to obtain the answer. It is the same case with algebra. 

3 x+2 y

Q15 


Stem and leaf diagrams are one of the easiest types of questions that you can get as you simply put numbers in order. You need to make sure that your numbers are all in order and you need to also remember to include a key. 

A complete answer is shown here below: 


Remember that the median is the middle value and this is highlighted above on the stem and leaf diagram that has been completed. But do take care that you do not give the answer as 6 but indeed 86. 

November 2022 GCSE Maths - Q 16 - Q17

Q16


First you need to determine the number of hours that one tap would take to fill the lake. You can then divide by 6 to find the number of hours for 6 pipes. But you only need to fill one quarter of the lake so you would divide this by 4 as shown below. 

4 \times 12=48\frac{48}{6}=8\frac{8}{4}=2

Q17


This is a grouped frequency table and you need to use the midpoints of each class group and to then multiply by the frequency. Find the total frequency and then divide the overall total by the total frequency as shown below. 

\begin{aligned} & 1240 \\ & 2310 \\ & 4200 \\ & 5550 \\ & 780 \end{aligned}\begin{aligned} &\frac{1240+2310+4200+5550+780}{80}\\ &176 \end{aligned}
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November 2022 GCSE Maths – Final 3 Questions

Q18

 

For part a) you need to understand that an outlier is a value that does not follow the trend. You can see that this value is (2, 1)


This is an example of a negative correlation. For this to happen as one value increases (rainfall) then the other value will decrease (hours of sunshine)


To do this part of the question you need to draw a line of best fit and this is shown here: 


Find 7 on the vertical axis, go across to the line of best fit and then go downwards to the horizontal. Answers very much depend on how the line of best fit has been drawn but you should get an answer between 3 and 4. 

Q19


You are asked to draw the side elevation of this shape and it is shown below: 


Q20

Here you will find that each number is increasing by 6 so each term is a multiple of 6. You then find the difference between the first term of the sequence and how much each term increases by to give you the appropriate expression as shown: 

6 n+1

\begin{aligned} & 8-6 n=-58 \\ & 8=-58+6 n \\ & 66=6 n \\ & n=11 \end{aligned}

The simplest process for this question is to equate the nth term of the sequence to – 58. What is important to remember is that “n” is always positive and a whole number. 

The final 6 questions of this past paper will be on another blog article very soon. Keep trying the questions that have been shown if you are looking to get a grade 4 at GCSE Foundation level. 

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