GCSE Maths May 2022 - Part 2
GCSE Maths May 2022 Foundation – Introduction
In this article we will be looking at the remaining half of this GCSE Maths May 2022 past paper. A previous article has already looked at the first 15 questions.
The aim is to look at each question in turn and to discuss how to actually answer the question followed with a solution.
Note however that we will focus on the questions that will get you a pass. So the back questions will be omitted. The focus is on helping students who struggle answer as many questions as possible and to help them achieve a grade 4.
GCSE Maths May 2022 - Part 2
Question 16
Here you need to use Distance = Speed x Time
t=\frac{50}{40}=\frac{5}{4}=1 \frac{1}{4}Remember that the final number is in hours so this is one hour and fifteen minutes. So the arrival time at work will be 08:45
Part b)
If he is driving faster his journey time will be less and so he will arrive at work much sooner.
Question 17
The question presents you with a type of grid to complete and the numbers of have been added as you can see. You simply need to insert the numbers that you are aware of and to find the other missing numbers using either addition or subtraction, pretty much like a two way table.
Part b)
Because one person is picked at random, you need to pick the number that covers all people in this case 72. Also be sure to be looking at the correct category, in this case adults and to be looking at the number who failed.
The answer is \frac{12}{72}
GCSE Maths May 2022 - Continued
Question 18)
Because you have the ingredients for 10 scones, to find the ingredients for 25 scones you can simply multiply by 2.5 OR to add the ingredients again and then divide by 2 to get the ingredients for 5.
10 scones = 40 g sugar
10 scones = 40 g sugar
5 scones = 20 g sugar
Total 25 scones = 100g of sugar
Question 19)
Start by finding what 10% is because you just are dividing by 10 and then you can double the answer to give 20%. Read the question carefully as it is asking you to “increase” 240 by 20% rather than just to find 20%.
\begin{aligned} & 10 \% \text { of } 240=\frac{240}{10}=24 \\ & 20 \% \text { of } 240=24 \times 2=48 \end{aligned}\begin{array}{r} 240 \\ +\quad 48 \\ \hline 288 \end{array}
GCSE Maths May 2022 – Final 5
Question 20)
From the outset this looks like an impossible question, but you just need to give yourself the information within the question. The diagram has shown the information from within the question and the key to tackling the question is to see what is the same and to realise that a rectangle represents one whole.
So for rectangle B you can work out what is not shaded by adding the two fractions together and to then subtract from one whole as follows:
\begin{aligned} & \frac{33}{88}+\frac{16}{88}=\frac{49}{88} \\ & 1-\frac{49}{88}=\frac{39}{88} \end{aligned}Question 21)
Here you are asked to construct a stem and leaf diagram and all you are doing here is putting the numbers in order in a specific way – what could be easier?
What is important to remember is that you must include a key. By forgetting to do this you are losing a mark, and it is a very easy mark to lose.
Below is the stem and leaf diagram together with a key.
Question 22)
To answer this question you need to know what the formula of a cylinder is and this is given below:
\text { volume }=\pi r^2 hTo actually answer the question you can see that there are two shapes provided. A circle and rectangle. Find what the radius of the circle is and the height of the square. Then substitute into the volume formula as follows:
\begin{aligned} & =\pi(3)^2(5) \\ & =\pi(9)(5) \\ & =45 \pi \end{aligned}Remember to leave your answer in terms of which is what the question wants.
Question 23)
\text { Solve } 7 x-27<8To do these types of questions simply treat it as though you were solving an equation, but do not change the sign of the inequality. The working is shown below:
\begin{aligned} +27 & +27 \\ 7 x & <35 \\ x & <5 \end{aligned}Question 24
You need to recall that a factor is a number that goes into another number and a prime number is a number that is only divisible by itself and the number 1
The solution for this question is 2 \times 2 \times 31 nd you can get this question by doing a prime factor tree.
Question 25)
This question is mixed as it contains ratio, fractions and also a percentage. With questions like this also do one bit at a time and do not let the amount of wording within the question put you off doing the question.
First deal with the ratio. There are 10 ratio parts in total which means that one ratio part is:
\frac{160}{10}=16You can then determine the number of cars and vans. The number of cars is 48 and the number of vans is 112.
You can now find the number of cars that are electric and the number which are diesel as follows:
\begin{aligned} & \frac{1}{8} \times 48=6 \\ & \frac{1}{4} \times 48=12 \end{aligned}The number of cars that are petrol can be worked out as follows:
\begin{aligned} & 48-12-6 \\ & 48-18=30 \end{aligned}All 25 questions of this particluar GCSE Maths past paper have now been completed.
It is important that you are understanding the wording of the question so as to determine what the question is actually asking you to do.