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

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1F, 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-1f/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2022_paper_1F_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2022
- Paper: 1F (Foundation Tier Paper 1)
- Component code: 4MA1/1F
- 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
Nav found the following table that shows the age, in years, of each of seven cities.
[Diagram or table: see page 3 of the paper]
(a) Write down the name of the city with the greatest age.
Answer: ____ [1]
(b) Write the number 2534 in words.
Answer: ____ [1]
(c) Write the number 2351 correct to the nearest ten.
Answer: ____ [1]
(d) Work out the difference between the age of Cadiz and the age of Nanjing.
Answer: ____ _years [1]
A millennium is 1000 years.
(e) What is the age of Jenin in whole millenniums?
Answer: ____ _millenniums [1]

Question 2
(a) Simplify 12a + 3a – 7a
Answer: ____ [1]
(b) Simplify 8 × 3b
Answer: ____ [1]
(c) Solve c/3= 9
Answer: c = ____ [1]

Question 3
Here is a probability scale.
[Diagram or table: see page 4 of the paper]
In a fruit bowl, there are only
3 bananas 7 pears
Shimon is going to take at random one of the fruits from the bowl.
(a) Write down the letter of the arrow that points to the probability that Shimon takes
(i) a pear,
Answer: ____ [1]
(ii) a grape.
Answer: ____ [1]
Emma has some carrots, some potatoes and some onions in a bag. She says that the probability of taking at random a carrot from the bag is 1.4
Emma is not correct.
(b) Explain why.
Answer: ____ [1]

Question 4
Here is a polygon.
(a) Write down the mathematical name of this polygon.
Answer: ____ [1]
Here is a scale.
[Diagram or table: see page 5 of the paper]
(b) On the scale, mark with an arrow (↑) the number 360 [1]
Here is a clock face.
[Diagram or table: see page 5 of the paper]
(c) Write down the time shown on the clock face.
Answer: ____ [1]
(d) Complete the following sentence by writing a suitable metric unit on the dotted line.
Answer: The length of a pen is 16 ____ [1]

Question 5
Here is a list of numbers.
[Diagram or table: see page 6 of the paper]
(a) From the numbers in the list, write down
(i) an even number
Answer: ____ [1]
(ii) a multiple of 9
Answer: ____ [1]
(iii) a square number
Answer: ____ [1]
(iv) a prime number
Answer: ____ [1]
(b) Use brackets to make the statement correct. You may use more than one pair of brackets in the statement.
[Diagram or table: see page 6 of the paper]
[1]

Question 6
[Diagram or table: see page 6 of the paper]
ABC is a straight line.
(a)(i) Work out the value of x
Answer: x = ____ [1]
(ii) Give a reason for your answer to (i)
Answer: ____ [1]
D Diagram NOT
[Diagram or table: see page 7 of the paper]
CDE is an equilateral triangle. ABCF is a quadrilateral.
BCE and DCF are straight lines.
(b) Work out the value of y You must show your working.
Answer: y = ____ [3]

Question 7
Sandeep buys some flowers. He has 5000 rupees to spend.
He buys 6 carnations at 220 rupees each. He also buys some roses at 295 rupees each.
Sandeep should receive 140 rupees in change from his 5000 rupees.
Work out how many roses Sandeep buys.
Answer: ____ [4]

Question 8
(a) Simplify 12g − 8e − 5g + 6e
Answer: ____ [2]
A = 3b − 5c
(b) Work out the value of A when b = 12 and c = 4
Answer: A = ____ [2]
(c) Solve 4p + 9 = 24
Answer: p = ____ [2]

Question 9
ABC is a triangle. AB = 8 cm, AC = 6 cm and BC = 9 cm.
Use a ruler and compasses to construct the triangle ABC. The side AB has been drawn for you. You must show all your construction lines.
[Diagram or table: see page 10 of the paper]
[2]

Question 10
Anjali wants to go on a boat at the seaside.
At the seaside there are 20 boats.
Of these boats 2 are white 5 are blue 7 are green 6 are yellow
Anjali selects at random one of these boats.
Write down the probability that she selects
(i) a green boat,
Answer: ____ [1]
(ii) a white boat or a yellow boat.
Answer: ____ [2]

Question 11
Johan wants to make some small cakes.
He finds a recipe that says he needs 360 grams of flour to make 15 small cakes.
Johan has 0.85 kg of flour.
Johan works out how much flour he would need to make 38 small cakes, using the information given in the recipe.
Does Johan have enough flour, according to the recipe, to make 38 small cakes? Show your working clearly. [4]

Question 12
The table gives information about the number of gold stars won by each of 25 students in class 7T last week.
[Diagram or table: see page 13 of the paper]
(a) Work out the mean number of gold stars won.
Answer: ____ [3]
A student in class 8R is to be chosen at random.
The probability that this student won at least one gold star last week is 0.39
(b) Work out the probability that this student did not win at least one gold star last week.
Answer: ____ [1]

Question 13
On the grid, draw the graph of y = −2x + 3 for values of x from −1 to 5
[Diagram or table: see page 14 of the paper]
[3]

Question 14
In 2001, the total number of cars produced in the world was 39.8 million.
In 2006, the total number of cars produced in the world was 10.1 million greater than the total number produced in 2001
(a) Express 10.1 million as a percentage of 39.8 million. Give your answer correct to one decimal place.
Answer: ____ _% [2]
In 2011, the total number of cars produced in the world was 59.9 million.
In 2016, the total number of cars produced in the world was 21% greater than the total number produced in 2011
In 2016, the total number of cars produced in the world was N million.
(b) Work out the value of N. Give your answer correct to the nearest whole number.
Answer: N = ____ [3]

Question 15
The diagram shows a shape ABCDEFG made from a square ABDF and three identical isosceles triangles BCD, DEF and FGA.
[Diagram or table: see page 16 of the paper]
The perimeter of the square ABDF is 48 cm. The perimeter of each isosceles triangle is 30 cm.
Work out the perimeter of the shape ABCDEFG.
Answer: ____ _cm [4]

Question 16
Here are the first five terms of an arithmetic sequence.
[Diagram or table: see page 17 of the paper]
(a) Find an expression, in terms of n, for the nth term of this sequence.
Answer: ____ [2]
The nth term of another arithmetic sequence is 3n + 5
(b) Find an expression, in terms of m, for the (2m)th term of this sequence.
Answer: ____ [1]

Question 17
Here is a biased 4-sided spinner.
[Diagram or table: see page 18 of the paper]
The table gives the probabilities that, when the spinner is spun once, it will land on 1 or it will land on 3
[Diagram or table: see page 18 of the paper]
The probability that the spinner will land on 2 is equal to the probability that the spinner will land on 4
Ravina is going to spin the spinner a number of times.
Ravina works out that an estimate for the number of times the spinner will land on 3 is 45
Work out an estimate for the number of times the spinner will land on 4
Answer: ____ [4]

Question 18
(a) Find the highest common factor (HCF) of 56 and 84 Show your working clearly.
Answer: ____ [2]
(b) Find the lowest common multiple (LCM) of 60 and 72 Show your working clearly.
Answer: ____ [2]

Question 19
The diagram shows parts of three regular polygons, A, B and C, meeting at a point.
[Diagram or table: see page 20 of the paper]
Polygon B has n sides.
Work out the value of n.
Answer: n = ____ [4]

Question 20
(a) Expand and simplify (n − 6)(n + 4)
Answer: ____ [2]
(b) Solve 2x − 3 = 3x − 5/4
Show clear algebraic working.
Answer: x = ____ [3]

Question 21
Asha bought an apartment.
The table gives information about the value of apartments, in euros, and the annual service charge band.
[Diagram or table: see page 22 of the paper]
In 2021, the value of Asha’s apartment was 634 400 euros.
The value of Asha’s apartment had increased by 4% from its value in 2020
(a) Has the annual service charge band changed for Asha’s apartment? Show your working clearly. [3]
Pam bought a boat.
In each year after Pam bought the boat, the value of the boat depreciated by 15%
(b) Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat.
Answer: ____ _% [3]

Question 22
A cylinder is placed on the ground.
[Diagram or table: see page 23 of the paper]
The height of the cylinder is 18 cm.
The force exerted by the cylinder on the ground is 72 newtons. The pressure on the ground due to the cylinder is 1.4 newtons / cm^2
[Diagram or table: see page 23 of the paper]
Work out the volume of the cylinder. Give your answer correct to 3 significant figures.
Answer: ____ _cm^3 [4]

Question 23
(a) Write 0.000 089 in standard form.
Answer: ____ [1]
(b) Write 8.34 × 10^4 as an ordinary number.
Answer: ____ [1]

Question 24
(a) Simplify 8 × (4t)^0
Answer: ____ [1]
x^6÷ x^−5 = x ^p
(b) Find the value of p
Answer: p = ____ [1]
(c) Simplify fully (2k^2 m^4)^3
Answer: ____ [2]

Question 25
Two circles, C_1 and C_2 , are drawn on a centimetre grid, with a scale of 1 cm for 1 unit on each axis.
The centre of circle C_1 is at the point with coordinates (–1, 3) and the radius of C_1 is 13 cm.
The centre of circle C_2 is at the point with coordinates (7, 18) and the radius of C_2 is 6 cm.
(a) Work out the distance between the centre of C_1 and the centre of C_2
Answer: ____ _cm [3]
(b) Explain why circle C_1 intersects circle C_2
Answer: ____ [1]