# 4MA1 Mathematics A January 2023 Paper 1FR (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1FR, Foundation Tier Paper 1, January 2023. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2023-january-paper-1fr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_january_2023_paper_1FR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: January 2023
- Paper: 1FR (Foundation Tier Paper 1)
- Component code: 4MA1/1FR
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 24

## Question paper text

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

Question 1
Here is a list of numbers.
[Diagram or table: see page 3 of the paper]
From this list, write down
(a) the odd number
Answer: ____ [1]
(b) the multiple of 6
Answer: ____ [1]
(c) the square number
Answer: ____ [1]
(d) the prime number
Answer: ____ [1]
(e) two numbers with a sum of 26
Answer: ____ [1]

Question 2
Here are 6 counters. Each counter has a number on it.
[Diagram or table: see page 4 of the paper]
Finn takes at random one of these counters.
(i) Select with a tick ( ) the word that best describes the likelihood that Finn takes a
counter with the number 2 on it.
[Diagram or table: see page 4 of the paper]
(ii) Select with a tick ( ) the word that best describes the likelihood that Finn takes a
counter with the number 3 on it.
[Diagram or table: see page 4 of the paper]
(iii) Select with a tick ( ) the word that best describes the likelihood that Finn takes a
counter with a number greater than 4 on it.
[Diagram or table: see page 4 of the paper]
[3]

Question 3
(a) Write down the mathematical name of this 3‑D shape.
Answer: ____ [1]
(b)(i) How many faces does this shape have?
Answer: ____ [1]
(ii) How many vertices does this shape have?
Answer: ____ [1]
Here is a different 3‑D shape.
Marie makes a model of the shape. She uses a length of wire to make each edge of the model. Each edge of the model is 5 cm long.
Marie has 70 cm of wire.
(c) What length of wire does she have left after making the model?
Answer: ____ cm [2]

Question 4
(a) Simplify 10y – y
Answer: ____ [1]
(b) Simplify 3p × 4p
Answer: ____ [1]
(c) Solve 7x = 42
Answer: x = ____ [1]
(d) Solve n + 6 = 5
Answer: n = ____ [1]
(e) Simplify 8c + 5d – 2c – 3d
Answer: ____ [2]

Question 5
Zoya buys a book and some pencils.
The book costs £6.90 Each pencil costs £0.55
Zoya has a total of £15 to spend on the book and the pencils. She buys as many pencils as she can.
Work out how many pencils she buys.
Answer: ____ [3]

Question 6
(a) Write down all the factors of 10
Answer: ____ [1]
(b) Find the lowest common multiple (LCM) of 18 and 60
Answer: ____ [2]

Question 7
(a) Write these decimals in order of size. Start with the smallest decimal.
[Diagram or table: see page 8 of the paper]
Answer: ____ [1]
(b) Write 0.08 as a percentage.
Answer: ____ % [1]
(c) Write 31/9 as a mixed number.
Answer: ____ [1]
(d) Find the number that is exactly halfway between 7/25 and 0.88
Answer: ____ [2]

Question 8
The two‑way table shows some information about the desserts chosen at lunch yesterday by the 80 students from Year 5 and Year 6. Each student chose one dessert from apple pie or fruit or ice cream.
[Diagram or table: see page 9 of the paper]
(a) Complete the two‑way table. [3]
(b) What fraction of these 80 students were in Year 5 and chose apple pie? Give your answer in its simplest form.
Answer: ____ [2]

Question 9
[Diagram or table: see page 10 of the paper]
BCD is an isosceles triangle with BD = CD ABC is a straight line. ABDE is a quadrilateral.
Work out the value of x Give a reason for each stage of your working.
Answer: x = ____ [4]

Question 10
The graph below can be used to change between dollars and Danish krone.
[Diagram or table: see page 11 of the paper]
(a) Change 40 dollars to Danish krone.
Answer: ____ _Danish_krone [1]
(b) Change 350 Danish krone to dollars.
Answer: ____ _dollars [1]
Robert needs 950 Danish krone to pay for a hotel stay. He has 170 dollars.
(c) Show that Robert has enough money to pay for his hotel stay. [2]

Question 11
(a) Work out the value of 2.5 + 3.6/12 .7 + 8.2/5 × 3.6
Give your answer as a decimal. Write down all the figures on your calculator display.
Answer: ____ [2]
(b) Write your answer to part (a) correct to 3 significant figures.
Answer: ____ [1]

Question 12
Aarav uses this rule to estimate the time, in minutes, that a bus journey takes.
Time = 2.5 × length of journey in kilometres + 1.5 × number of bus stops
Aarav’s bus journey to work has a length of 12 kilometres. There are 5 bus stops on the route.
(a) Use Aarav’s rule to work out an estimate for the time this bus journey takes.
Answer: ____ _minutes [2]
A different bus journey takes 55 minutes. There are 8 bus stops on the route.
(b) Use Aarav’s rule to work out an estimate for the distance of this bus journey.
Answer: ____ km [3]

Question 13
[Diagram or table: see page 14 of the paper]
Tom puts boxes into a shipping container.
The container is a cuboid 10 metres by 2.4 metres by 2.4 metres. Each box is a cube of side 40 centimetres.
Work out the greatest number of these boxes that Tom can put into the container.
Answer: ____ [3]

Question 14
The accurate scale drawing shows the positions of two lighthouses, S and T
[Diagram or table: see page 15 of the paper]
(a) Find, by measuring, the bearing of lighthouse T from lighthouse S
Answer: ____ ° [1]
A boat is on a bearing of 084° from S The boat is 13 km from T
(b) On the diagram, mark with a cross (X) the position of the boat. Label the cross B [3]

Question 15
The table shows information about the frame size, in cm, of 60 bicycles sold in a shop.
[Diagram or table: see page 16 of the paper]
(a) Write down the modal class.
Answer: ____ [1]
(b) Work out an estimate for the mean frame size.
Answer: ____ cm [4]

Question 16
The diagram shows a solid triangular prism.
6 cm
[Diagram or table: see page 17 of the paper]
Work out the total surface area of the triangular prism. Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [3]

Question 17
Here is a list of six numbers written in order of size.
[Diagram or table: see page 18 of the paper]
Find the value of x, the value of y and the value of z
Answer: x = ____
Answer: y = ____
Answer: z = ____ [3]

Question 18
(a) Simplify w^12 ÷ w^3
Answer: ____ [1]
(b) Simplify 5m^4 p^2 × 2m^3 p
Answer: ____ [2]

Question 19
Divya and Yuan each pay for a holiday at a special offer price.
[Diagram or table: see page 19 of the paper]
The amount that Divya pays is the same as the amount that Yuan pays.
Work out the value of k
Answer: k = ____ [4]

Question 20
C grams of chocolate is shared in the ratios 2 : 5 : 8 The difference between the largest share and the smallest share is 390 grams.
Work out the value of C
Answer: C = ____ [3]

Question 21
Solve the simultaneous equations
[Diagram or table: see page 20 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 22
(a) Write 9.32 × 10^–5 as an ordinary number.
Answer: ____ [1]
(b) Work out 3 × 10^5– 6 × 10^4 Give your answer in standard form.
Answer: ____ [2]
(c) Work out (3 × 10^55) × (6 × 10^65) Give your answer in standard form.
Answer: ____ [2]

Question 23
(a) Factorise fully 18c^3 d^2– 21c^2
Answer: ____ [2]
(b)(i) Factorise y^2– 3y – 18
Answer: ____ [2]
(ii) Hence, solve y^2– 3y – 18 = 0
Answer: ____ [1]

Question 24
The diagram shows an isosceles triangle ABC
[Diagram or table: see page 23 of the paper]
AB = 7 cm AC = BC = ycm
The area of the triangle is 42 cm^2
Work out the value of y
Answer: y = ____ [4]

Question 25
R and T are points on a circle, centre O
[Diagram or table: see page 24 of the paper]
RT = 12 cm M is the midpoint of RT Angle ROM = 52°
Work out the area of the circle. Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [4]