# 4MA1 Mathematics A January 2022 Paper 2F (Foundation Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2F, Foundation Tier Paper 2, January 2022. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2022-january-paper-2f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2022_paper_2F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2022
- Paper: 2F (Foundation Tier Paper 2)
- Component code: 4MA1/2F
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 28

## Question paper text

Extracted automatically from the PDF; diagrams are missing and notation may be imperfect.

Question 1
The diagram shows a square and its diagonals.
(a) Shade 1/4 of the square. [1]
Here is a rhombus.
(b) What fraction of the rhombus is shaded?
Answer: ____ [1]
(c) Write 0.9 as a fraction.
Answer: ____ [1]

Question 2
Here is a list of numbers.
[Diagram or table: see page 4 of the paper]
(a) From the numbers in the list, write down
(i) a cube number
Answer: ____ [1]
(ii) a factor of 70
Answer: ____ [1]
(iii) a multiple of 6
Answer: ____ [1]
(iv) a prime number.
Answer: ____ [1]
Here is a number machine.
[Diagram or table: see page 4 of the paper]
(b) Work out the input when the output is 108
Answer: ____ [2]

Question 3
The diagram shows a fair 8-sided spinner.
[Diagram or table: see page 5 of the paper]
Hollie is going to spin the spinner once.
[Diagram or table: see page 5 of the paper]
(a) Write down the word from the box above that best describes the likelihood that the spinner will land on
(i) yellow
Answer: ____ [1]
(ii) red.
Answer: ____ [1]
(b) On the probability scale below, mark with a cross (×) the probability that the spinner will land on blue.
[Diagram or table: see page 5 of the paper]
[1]

Question 4
The table below shows the maximum recorded temperature and the minimum recorded temperature on one day in each of four countries.
[Diagram or table: see page 6 of the paper]
(a) Which country has the highest maximum recorded temperature?
Answer: ____ [1]
(b) Work out the difference between the maximum recorded temperature in Finland and the minimum recorded temperature in Finland.
Answer: ____ °C [1]
On the same day, the minimum recorded temperature in Japan is 15 °C lower than the minimum recorded temperature in Morocco.
(c) Work out the minimum recorded temperature in Japan.
Answer: ____ °C [1]

Question 5
The diagram shows points A and B marked on a grid of squares.
[Diagram or table: see page 7 of the paper]
(a) On the grid, draw the line with equation y = −2 [1]
M is the midpoint of AB
(b) Find the coordinates of M
Answer: ( ____ , ____ ) [2]
D is the point with coordinates (5, d ) where d > 0 The triangle ABD is an isosceles triangle.
(c) Find the value of d
Answer: d = ____ [1]

Question 6
Here are nine shapes drawn on a grid of squares.
[Diagram or table: see page 8 of the paper]
Shape D is a quadrilateral.
(a) What is the mathematical name of this quadrilateral?
Answer: ____ [1]
One of the shapes is congruent to shape G
(b) Write down the letter of this shape.
Answer: ____ [1]
(c) Write down the order of rotational symmetry of shape H
Answer: ____ [1]
(d) How many lines of symmetry has shape E?
Answer: ____ [1]

Question 7
3/8 of the members of a squash club are children.
5/6 of these children are right-handed.
What fraction of the members of the squash club are right-handed children? Give your answer as a fraction in its simplest form. Show your working clearly.
Answer: ____ [3]

Question 8
By writing each value correct to one significant figure, work out an estimate for the value of
[Diagram or table: see page 9 of the paper]
Show your working clearly.
Answer: ____ [3]

Question 9
The diagram shows triangle ABD
[Diagram or table: see page 10 of the paper]
ABC, BDE and ADF are straight lines.
angle CBD = 132° angle ADB = 58°
(a)(i) Write down the value of x
Answer: x = ____
(ii) Give a reason for your answer.
Answer: ____ [2]
(b) Work out the value of y
Answer: y = ____ [2]

Question 10
In a library there are two trolleys of books.
On trolley 1 the subjects of the books are Buildings (B), Rivers (R) and Space (S). On trolley 2 the subjects of the books are Buildings (B), History (H) and Animals (A).
Tomos takes one book from trolley 1 and one book from trolley 2
Write down all the possible combinations of subjects that Tomos can take.
Answer: ____ [2]

Question 11
Here is a sequence of patterns made from counters.
[Diagram or table: see page 12 of the paper]
(a) In the space below, draw Pattern number 4 [1]
(b) Complete the table.
[Diagram or table: see page 12 of the paper]
[1]
(c) Work out the number of counters in Pattern number 10
Answer: ____ [1]
Sven has exactly 70 counters.
(d) Can Sven make Pattern number 25 using his 70 counters?
Tick the appropriate box below.
Yes No
Give a reason for your answer.
Answer: ____ [1]

Question 12
The diagram shows a box B and a carton C
[Diagram or table: see page 13 of the paper]
The box B is in the shape of a cuboid. Each carton C is in the shape of an 8 cm cube.
Martha is going to put as many of the cartons as possible into the box. She has enough cartons to do this.
Martha will then fill the remaining space inside the box with packing material.
Work out the volume of the space inside the box that Martha will fill with packing material.
Answer: ____ _cm^3 [5]

Question 13
Here is a conversion graph to change between Canadian dollars and pounds (£)
[Diagram or table: see page 14 of the paper]
(a) Use the graph to change
(i) 46 Canadian dollars to pounds (£)
Answer: £ ____
(ii) £10 to Canadian dollars.
Answer: ____ _Canadian_dollars [2]
Alana is on holiday in London and is going to Paris. She is going to book a hotel in Paris. She knows that
[Diagram or table: see page 14 of the paper]
(b) Change 528 euros to Canadian dollars.
Answer: ____ _Canadian_dollars [3]

Question 14
Iman walked for 3 hours 15 minutes. He walked a distance of 18.2 kilometres.
Work out Iman’s average speed for his walk. Give your answer in km/h
Answer: ____ _km / h [3]

Question 15
Here is a list of the ingredients needed to make 12 chocolate brownies.
[Diagram or table: see page 16 of the paper]
Thalia buys exactly enough of these ingredients to make 120 of these brownies.
1.5 kg of flour costs £1.30 500 g of chocolate spread costs £2.60 6 eggs cost £1.10
Thalia sells all 120 brownies at £0.40 each.
Work out the profit that she makes.
Answer: £ ____ [5]

Question 16
(a) Expand and simplify x(2x − 3) + 7(2x + 1) − 5
Answer: ____ [3]
(b) Expand and simplify ( y + 4)(2 − y)
Answer: ____ [2]
(c) Factorise fully 15b^5 c − 35b^3 c^9
Answer: ____ [2]

Question 17
Show that 6 3/4 ÷ 2 4/7 = 2 5/8 [3]

Question 18
[Diagram or table: see page 19 of the paper]
Triangle ABC is similar to triangle PQR
[Diagram or table: see page 19 of the paper]
(a) Calculate the length of BC
Answer: ____ _cm [2]
(b) Write down an expression for y in terms of x
Answer: y = ____ [1]

Question 19
Each side of a regular octagon has a length of 18 mm, correct to the nearest 0.5 mm
[Diagram or table: see page 20 of the paper]
(a) Write down the lower bound of the length of each side of the octagon.
Answer: ____ _mm [1]
(b) Write down the upper bound of the length of each side of the octagon.
Answer: ____ _mm [1]

Question 20
The scale diagram shows the position on a map of a house, A
[Diagram or table: see page 21 of the paper]
House C is on a bearing of 110° from A The distance from A to C is 700 m
(a) Mark the position of C on the diagram with a cross (×) Label your cross C [3]
(b) Write the scale of the map in the form 1 : n
Answer: 1 : ____ [1]

Question 21
A bag contains only pink sweets, white sweets, green sweets and red sweets.
The table gives each of the probabilities that, when a sweet is taken at random from the bag, the sweet will be green or the sweet will be red.
[Diagram or table: see page 22 of the paper]
number of pink sweets : number of white sweets = 2 : 1
There are 28 red sweets in the bag.
Work out the number of white sweets in the bag.
Answer: ____ [5]

Question 22
Find the lowest common multiple (LCM) of 28, 42 and 63 Show your working clearly.
Answer: ____ [3]

Question 23
The table gives information about the average house price in England in 2018 and in 2019
[Diagram or table: see page 24 of the paper]
(a) Work out the percentage increase in the average house price from 2018 to 2019 Give your answer correct to one decimal place.
Answer: ____ _% [2]
The average house price in 2019 was 7.7% greater than the average house price in 2017
(b) Work out the average house price in 2017 Give your answer correct to 3 significant figures.
Answer: £ ____ [3]

Question 24
The frequency table gives information about the number of points scored by a player.
[Diagram or table: see page 25 of the paper]
The mean number of points scored is 2
Work out the value of x
Answer: x = ____ [4]

Question 25
Solve the simultaneous equations
[Diagram or table: see page 26 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 26
The diagram shows a regular 10-sided polygon, ABCDEFGHIJ
[Diagram or table: see page 27 of the paper]
Show that x = y [4]