# 4MA1 Mathematics A May/June 2022 Paper 1FR (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1FR, Foundation Tier Paper 1, May/June 2022. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2022-may-june-paper-1fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2022_paper_1FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2022
- Paper: 1FR (Foundation Tier Paper 1)
- Component code: 4MA1/1FR
- 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
Here are four cards. Each card has a number written on it.
[Diagram or table: see page 3 of the paper]
These four cards are arranged to make the number 3457
(a) Arrange the four cards to make the largest possible even number. [1]
Darren arranges the cards to make another number.
The difference between the number 3600 and the number that Darren makes is as small as possible.
(b) Find this difference.
Answer: ____ [2]

Question 2
Here is a 5‑sided polygon.
(a) Write down the mathematical name for a 5‑sided polygon.
Answer: ____ [1]
(b) On the diagram, mark with a letter A an acute angle. [1]
(c) On the diagram, mark with a letter R a reflex angle. [1]

Question 3
The pictogram shows information about the number of loaves of bread sold in a bakery each day from Tuesday to Friday last week.
[Diagram or table: see page 5 of the paper]
(a) How many loaves of bread were sold on Friday?
Answer: ____ [1]
The total number of loaves sold in the bakery from Monday to Friday last week was 66
(b)(i) Work out the number of loaves sold on Monday last week.
Answer: ____ [2]
(ii) Show this information for Monday on the pictogram. [1]

Question 4
(a) Write 0.7 as a fraction.
Answer: ____ [1]
(b) Write a number in the box so that the following statement is correct.
3 and are equivalent fractions. 4 20 [1]
(c) Work out 3/5 of 35
Answer: ____ [2]

Question 5
The diagram shows the trapezium ABCD
[Diagram or table: see page 7 of the paper]
(a) How many lines of symmetry has ABCD?
Answer: ____ [1]
Here is another shape.
(b) Write down the order of rotational symmetry of this shape.
Answer: ____ [1]
(c) Find, by measuring, the size of the angle marked x
[Diagram or table: see page 7 of the paper]
Answer: ____ [1]

Question 6
Here is a list of seven numbers.
[Diagram or table: see page 8 of the paper]
(a) From the numbers in the list, write down
(i) a cube number
Answer: ____ [1]
(ii) a factor of 80
Answer: ____ [1]
Two numbers in the list are prime numbers.
(b) Work out the sum of these two prime numbers.
Answer: ____ [2]

Question 7
The three points A, B and C are marked on a centimetre grid.
[Diagram or table: see page 9 of the paper]
(a) Write down the coordinates of A
Answer: ( ____ , ____ ) [1]
(b) Find the coordinates of the midpoint of BC
Answer: ( ____ , ____ ) [2]
(c) Work out the area of triangle ABC
Answer: ____ cm^2 [2]
D is the point on the grid so that ABCD is a rectangle.
(d) On the grid, mark with a cross (X) the point D Label this point D [1]

Question 8
Masie is told that 13 203 ÷ 27 = 489
Explain how she can use this calculation to work out 489 × 28
Answer: ____ [2]

Question 9
(a) Simplify 6p + 2t + p – 3t
Answer: ____ [2]
A = 8x – 3y
(b) Work out the value of A when x = 5 and y = 4
Answer: A = ____ [2]

Question 10
[Diagram or table: see page 11 of the paper]
In the diagram, BCE is a right‑angled triangle. ABCD, BEF and GCEH are straight lines.
Angle BCE = 35°
(a)(i) Find the value of x
Answer: x = ____ [1]
(ii) Give a reason for your answer.
Answer: ____ [1]
(b)(i) Work out the value of y
Answer: y = ____ [2]
(ii) Give a reason for your answer.
Answer: ____ [1]

Question 11
Sophia spends a total of £6.30 on cheese.
She buys 500 g of Cheddar cheese and 200 g of Stilton cheese.
The cost of the Cheddar cheese is £9.20 for 1 kg.
Work out the cost of 1 kg of the Stilton cheese.
Answer: £ ____ [4]

Question 12
The diagram below shows the trapezium PQRS
[Diagram or table: see page 13 of the paper]
Angle PQR and angle QPS are right angles.
Find the value of x
Answer: x = ____ [3]

Question 13
Salma asked some people what type of exercise they each liked the best from walking or running or swimming or cycling.
Salma is going to draw a pie chart for her results.
The incomplete table gives some information about her results.
[Diagram or table: see page 14 of the paper]
18 people answered walking.
(a) How many people answered running?
Answer: ____ [2]
15 people answered cycling.
(b) How many people answered swimming?
Answer: ____ [3]

Question 14
Jakub has bought a chicken.
He is going to use this rule to work out the number of minutes it will take to cook his chicken.
[Diagram or table: see page 15 of the paper]
The weight of Jakub’s chicken is 2.6 kg
(a) Use the rule to work out the number of minutes it will take to cook Jakub’s chicken.
Answer: ____ _minutes [2]
The following week Jakub buys another chicken.
He uses the rule and works out that it will take 2 hours 40 minutes to cook this chicken.
(b) Work out the weight of this chicken.
Answer: ____ kg [3]

Question 15
Bella and Millie share some money in the ratio 5 : 2
Bella receives 10.50 euros more than Millie.
Work out the total amount of money they share.
Answer: ____ _euros [3]

Question 16
Work out the value of
[Diagram or table: see page 16 of the paper]
Write down all the figures on your calculator display.
Answer: ____ [2]

Question 17
Here is a biased spinner.
[Diagram or table: see page 17 of the paper]
When the spinner is spun once, the probabilities that it lands on red or on yellow or on green are given in the table.
[Diagram or table: see page 17 of the paper]
(a) Work out the probability that the spinner lands on red or on yellow.
Answer: ____ [1]
Yang is going to spin the spinner 300 times.
(b) Work out an estimate for the number of times the spinner will land on purple.
Answer: ____ [3]

Question 18
In a warehouse there are two types of shelves, type R and type S.
These two types of shelves are arranged into shelving units that form a sequence of patterns.
Here are the first three terms in the sequence.
[Diagram or table: see page 18 of the paper]
The width of each type R shelf is 2.4 m and the width of each type S shelf is 3.5 m
(a) Work out the total width of a shelving unit that has 6 type R shelves.
Answer: ____ m [2]
A shelving unit has n type R shelves. The total width of this shelving unit is W metres.
(b) Find an expression for W in terms of n Give your answer in its simplest form.
Answer: W = ____ [2]

Question 19
Here are five cards.
Each card has a number written on it.
[Diagram or table: see page 19 of the paper]
The mean of the five numbers is 12
Work out the value of x
Answer: x = ____ [3]

Question 20
The language department of a college has 180 students. Each student studies exactly one of French, German, Italian or Spanish.
15 students study French. 45% of the students study German.
Express the percentage of students studying Italian or Spanish as a percentage of those studying French or German.
Answer: ____ % [4]

Question 21
(a) Expand 3c^3(c + 4)
Answer: ____ [2]
(b)(i) Factorise x^2+ 8x – 9
Answer: ____ [2]
(ii) Hence, solve x^2+ 8x –9 = 0
Answer: ____ [1]

Question 22
Show that 2 2/3 + 3 3/4 = 6 5/12 [3]

Question 23
The diagram shows a solid cylinder made from iron.
[Diagram or table: see page 23 of the paper]
The cylinder has diameter 18 cm and height 3.5 cm The mass of the cylinder is 7.04 kg
Work out the density of the iron. Give your answer in g/cm^3 correct to 2 significant figures.
Answer: ____ g/cm^3 [3]

Question 24
Jane bought a new car for $18 000 The car depreciates in value by 15% each year.
Work out the value of the car at the end of 4 years. Give your answer correct to the nearest $
Answer: $ ____ [3]

Question 25
Solve the inequality 3 – 4x  11
Answer: ____ [2]

Question 26
Line L is drawn on the grid.
[Diagram or table: see page 25 of the paper]
Find an equation for L Give your answer in the form y = mx + c
Answer: ____ [3]

Question 27
The diagram shows a quadrilateral ABCD
[Diagram or table: see page 26 of the paper]
In the diagram, ABC and DAC are right‑angled triangles.
BC = 6 cm AC = 7.5 cm
The area of quadrilateral ABCD is 31.5 cm^2
Work out the length of AD
[Diagram or table: see page 27 of the paper]
Answer: ____ cm [6]

