# 4MA1 Mathematics A May/June 2021 Paper 1F (Foundation Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1F, Foundation Tier Paper 1, May/June 2021. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2021-may-june-paper-1f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2021_paper_1F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2021
- Paper: 1F (Foundation Tier Paper 1)
- Component code: 4MA1/1F
- 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
[Diagram or table: see page 3 of the paper]
From the numbers in the box, write down
(a) a factor of 40
Answer: ____ [1]
(b) a multiple of 7
Answer: ____ [1]
(c) a prime number
Answer: ____ [1]
(d) a square number
Answer: ____ [1]
(e) the two numbers with a difference of 31
Answer: ____ _and ____ [1]

Question 2
The diagram shows part of a number line.
[Diagram or table: see page 4 of the paper]
(a) Write down the number marked with the arrow.
Answer: ____ [1]
The diagram shows a parcel on weighing scales.
[Diagram or table: see page 4 of the paper]
The parcel weighs less than 6 kg.
(b) How many kilograms less?
Answer: ____ _kilograms [1]
(c) Change 7.6 metres into centimetres.
Answer: ____ _centimetres [1]
(d) Change 91 600 millilitres into litres.
Answer: ____ _litres [1]
Ivan goes to the gym at 7 15 pm.
(e) Write this time using the 24-hour clock.
Answer: ____ [1]

Question 3
Find the number that is exactly halfway between 3.7 and 6.1
Answer: ____ [2]

Question 4
(a) Simplify 3 × 10d
Answer: ____ [1]
(b) Simplify 8e + e − 5e
Answer: ____ [1]
(c) Solve 6g = 42
Answer: g = ____ [1]
(d) Solve 24 = 10 + h
Answer: h = ____ [1]

Question 5
(a) Write these numbers in order of size.
Start with the smallest number.
[Diagram or table: see page 6 of the paper]
Answer: ____ [1]
(b) Write 5.8394 correct to 2 decimal places.
Answer: ____ [1]
(c) Write 0.73 as a fraction.
Answer: ____ [1]
(d) Write down the value of the 6 in the number 0.067
Answer: ____ [1]
(e) Write 17% as a decimal.
Answer: ____ [1]
70% of a number is 252
(f) Work out the number.
Answer: ____ [2]

Question 6
Janine has 2 litres of orange squash.
She also has some empty cups. When full, each cup holds 300 millilitres of orange squash.
Janine fills as many cups as possible.
How much orange squash does Janine have left after filling as many cups as possible? State the units of your answer.
Answer: ____ [3]

Question 7
The diagram shows a rectangle and a square.
[Diagram or table: see page 7 of the paper]
The perimeter of the rectangle is equal to the perimeter of the square. The area of the rectangle is less than the area of the square.
Work out by how much the area of the rectangle is less than the area of the square.
Answer: ____ cm² [4]

Question 8
Some students leaving a language school one day were each asked which language lesson they had just attended.
The table and the pie chart give some information about their answers.
[Diagram or table: see page 8 of the paper]
(a) Work out the number of students who answered French.
Answer: ____ [2]
(b) Complete (i) the table and (ii) the pie chart. [3]

Question 9
In a shop, pens cost 34 cents each.
The shop has a special offer on the pens.
[Diagram or table: see page 10 of the paper]
Moritz wants 25 pens.
Work out how much Moritz has to pay for 25 pens.
Answer: ____ cents [3]

Question 10
(a) Write these fractions in order of size. Start with the smallest fraction.
[Diagram or table: see page 11 of the paper]
Answer: ____ [2]
There are only green beads and red beads in a bag.
The ratio of the number of green beads to the number of red beads is 5 : 9
(b) What fraction of the beads in the bag are green beads?
Answer: ____ [1]

Question 11
The diagram shows a square ABCD and a regular pentagon CDEFG.
[Diagram or table: see page 12 of the paper]
Work out the size of the angle marked x.
[Diagram or table: see page 12 of the paper]
Answer: ____ [3]

Question 12
The diagram shows a shaded shape on a grid.
[Diagram or table: see page 13 of the paper]
(a) On the grid, reflect the shape in the line with equation x = 6 [2]
The diagram below shows triangle P and triangle Q drawn on a grid.
[Diagram or table: see page 13 of the paper]
(b) Describe fully the single transformation that maps triangle P onto triangle Q. [3]
Answer: ____

Question 13
Buses leave a bus station to go to the hospital every 16 minutes. Buses leave the same bus station to go to the college every 20 minutes.
At 9 am a bus leaves the bus station to go to the hospital and at the same time a bus leaves the bus station to go to the college.
Work out the next time that a bus leaves the bus station to go to the hospital and at the same time a bus leaves the bus station to go to the college.
Answer: ____ [3]

Question 14
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
A = {even numbers}
B = {multiples of 3}
[Diagram or table: see page 14 of the paper]
Complete the Venn diagram for the sets E, A and B. [3]

Question 15
150 students were each asked to name their favourite sport from hockey, rugby and football.
The two-way table gives information about the results.
[Diagram or table: see page 15 of the paper]
(a) Complete the two-way table. [3]
(b) Work out what percentage of the 150 students are in year 10
Answer: ____ % [2]

Question 16
A plane flew from Madrid to Dubai.
The distance the plane flew was 5658 km. The flight time was 8 hours 12 minutes.
Work out the average speed of the plane.
Answer: ____ _km/h [3]

Question 17
Here are the first 4 terms of an arithmetic sequence.
[Diagram or table: see page 16 of the paper]
Find an expression, in terms of n, for the nth term of the sequence.
Answer: ____ [2]

Question 18
[Diagram or table: see page 17 of the paper]
The diagram shows the shape ABCDE.
The area of the shape is 91.8 cm²
Work out the value of x.
Answer: x = ____ [4]

Question 19
On a farm there are chickens, ducks and pigs.
The ratio of the number of chickens to the number of ducks is 7 : 2 The ratio of the number of ducks to the number of pigs is 5 : 9 There are 36 pigs on the farm.
Work out the number of chickens on the farm.
Answer: ____ [3]

Question 20
(a) Expand and simplify 3x(2x + 3) – x(3x + 5)
Answer: ____ [2]
(b) Make t the subject of the formula p = at – d
Answer: ____ [2]
Given that × w/w_3 = w
(c) work out the value of n.
Answer: n = ____ [2]

Question 21
Grace has a biased 5-sided spinner.
[Diagram or table: see page 20 of the paper]
Grace is going to spin the arrow on the spinner once.
The table below gives the probabilities that the spinner will land on red or on blue or on green.
[Diagram or table: see page 20 of the paper]
The probability that the spinner will land on orange is 3 times the probability that the spinner will land on pink.
(a) Work out the probability that the spinner will land on orange.
Answer: ____ [3]
Grace spins the arrow on the spinner 150 times.
(b) Work out an estimate for the number of times the spinner lands on blue.
Answer: ____ [2]

Question 22
(a) 
[Diagram or table: see page 21 of the paper]
Write down the inequality shown on the number line.
Answer: ____ [1]
−4  2y < 6
y is an integer.
(b) Write down all the possible values of y.
Answer: ____ [2]
(c) Solve the inequality 7t – 3  2t + 31
Show your working clearly.
Answer: ____ [2]

Question 23
The table shows the populations of five countries.
[Diagram or table: see page 22 of the paper]
(a) Work out the difference between the population of China and the population of Germany. Give your answer in standard form.
Answer: ____ [2]
Given that
[Diagram or table: see page 22 of the paper]
(b) work out the value of k. Give your answer correct to the nearest whole number.
Answer: k = ____ [2]

Question 24
(a) Factorise fully 25a^4 c^7 d + 45a^9 c^3 h
Answer: ____ [2]
(b) Solve (2x + 5)^2= (2x + 3)(2x – 1)
Answer: x = ____ [3]

Question 25
Jethro has sat 5 tests. Each test was marked out of 100 and Jethro’s mean mark for the 5 tests is 74
Jethro has to sit one more test that is also to be marked out of 100
Jethro wants his mean mark for all 6 tests to be at least 77
Work out the least mark that Jethro needs to get for the last test.
Answer: ____ [3]