# 4MA1 Mathematics A May/June 2026 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, May/June 2026. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2026-may-june-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2026_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2026
- Paper: 1H (Higher Tier Paper 1)
- Component code: 4MA1/1H
- 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
Show that 4 1/7  2 3/5  119/35 [3]

Question 2
[Diagram or table: see page 3 of the paper]
Work out the value of x Give your answer correct to 3 significant figures.
Answer: x = ____ [3]

Question 3
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}
A = {factors of 20}
B = {multiples of 5}
(a) List the members of the set
(i) A ∪ B
Answer: ____ [1]
(ii) A  B
Answer: ____ [1]
C = {prime numbers}
Ana writes down the statement A  C   Ana’s statement is wrong.
(b) Explain why.
Answer: ____ [1]

Question 4
Henri competes in a race.
For the first part of the race Henri cycles 60 km at an average speed of 24 km/h For the remaining part of the race Henri runs for 1 hour and 15 minutes at an average speed of 12 km/h
Work out Henri’s average speed for the whole race. Give your answer in km/h Show your working clearly.
Answer: ____ _km/h [4]

Question 5
(a) Expand 4e2e  3
Answer: ____ [1]
(b) Expand and simplify  f  3 f  6
Answer: ____ [2]
(c) Make x the subject of t  ax  2n
Answer: ____ [2]
(d) On the number line, represent the inequality −1< y  3
[Diagram or table: see page 6 of the paper]
[2]

Question 6
Simplify 4x^5 y^6
[Diagram or table: see page 7 of the paper]
Answer: ____ [2]

Question 7
Here is a biased 4-sided spinner.
[Diagram or table: see page 8 of the paper]
The table gives information about the probability that, when the spinner is spun once, it will land on each number.
[Diagram or table: see page 8 of the paper]
Nevan spins the spinner 500 times.
Work out the expected number of times that the spinner lands on an even number.
Answer: ____ [4]

Question 8
Change a speed of 70 metres per second to a speed in kilometres per hour. Show your working clearly.
Answer: ____ _km/h [3]

Question 9
(a) Write 0.0651 in standard form.
Answer: ____ [1]
(b) Work out 4  10^56 8  10^74
Give your answer in standard form.
Answer: ____ [2]

Question 10
Solve the simultaneous equations
[Diagram or table: see page 10 of the paper]
Show clear algebraic working.
[Diagram or table: see page 10 of the paper]
Answer: ____
Answer: ____ [3]

Question 11
The diagram shows a shaded shape ABCDEO made from a semicircle BCD and two identical right-angled triangles ABO and EDO
[Diagram or table: see page 12 of the paper]
BD is the diameter of the semicircle. O is the midpoint of BD
angle ABO  angle EDO  90 AO  EO  15 cm
The area of semicircle BCD is 227 cm^2
Work out the perimeter of the shaded shape. Show your working clearly. Give your answer correct to one decimal place.
Answer: ____ _cm
2^x/3 [5]

Question 12
(a) Find the value of x Show clear algebraic working.
Answer: x = ____ [3]
(b) Expand and simplify 4t(t  5)(2t  3)
Answer: ____ [3]

Question 13
On any school day, Paulo either walks to school or travels by bus to school.
The probability that it rains on any school day is 0.15
If it rains on a school day, the probability that Paulo walks to school is 0.2 If it does not rain on a school day, the probability that Paulo walks to school is 0.75
(a) Complete the probability tree diagram for this information.
[Diagram or table: see page 15 of the paper]
[2]
(b) Work out the probability that on a school day, it rains and Paulo walks to school.
Answer: ____ [2]

Question 14
In September, the sales in a shop increased by 20% In October, the sales in the same shop decreased by x%
Over these two months, the sales in the shop decreased by 10%
Work out the value of x
[Diagram or table: see page 16 of the paper]
Answer: ____ [3]

Question 15
Point A has coordinates 3, 4 Point B has coordinates 2,  6
Work out the gradient of the line AB
Answer: ____ [2]

Question 16
The diagram shows triangle ABC
[Diagram or table: see page 17 of the paper]
(a) Work out the length of BC Give your answer correct to 3 significant figures.
Answer: ____ cm [3]
(b) Work out the area of the triangle. Give your answer correct to 3 significant figures.
Answer: ____ cm ^2 [2]

Question 17
Show that 4  20 5  2 5 can be written in the form a − b
where a and b are integers.
[3]

Question 18
Simplify fully_24x/− 5x − 12
Show clear algebraic working.
Answer: ____ [3]

Question 19
M is directly proportional to p^2
M = 2 when p = 5
(a) Find a formula for M in terms of p
Answer: ____ [3]
(b) Work out the value of M when p = 15
Answer: M = ____ [1]

Question 20
The final velocity, v m/s, of an object is given by
[Diagram or table: see page 20 of the paper]
s = 100 correct to the nearest integer t = 1. 68 correct to 2 decimalm places u = 0.5 correct to 1 decimal place
By considering bounds, work out the value of v to a suitable degree of accuracy. Show your working clearly.
Answer: ____ [5]

Question 21
The diagram shows a solid cuboid.
[Diagram or table: see page 21 of the paper]
The volume of the cuboid is V cm^3
Find the maximum value of V Show clear algebraic working.
[Diagram or table: see page 21 of the paper]
Answer: ____ [5]

Question 22
The histogram gives information about the weights, in grams, of all the apples in a shop.
[Diagram or table: see page 22 of the paper]
There are 9 apples with a weight between 140 grams and 155 grams.
(a) Work out the number of apples with a weight less than 175 grams.
Answer: ____ [3]
An apple is classified as a large apple if it has a weight of more than 180 grams. One of the large apples is chosen at random.
(b) Work out the probability that it has a weight of more than 190 grams.
Answer: ____ [2]

Question 23
A bag contains x marbles. 12 of the marbles are pink and the rest are yellow.
Greta takes at random 2 marbles from the bag.
The probability that Greta takes a pink marble and a yellow marble is 18/47
Work out the value of x Show clear algebraic working.
Answer: x = ____ [5]

Question 24
(a) Express 10 − 24x − 3x^2 in the form a  bx  c^2 where a, b and c are integers.
Answer: ____ [3]
T is the curve with equation y  10  24 x  1  3 x  1  The point P is the maximum point on T
(b) Use your answer to part (a) to find the coordinates of P
Answer: ( ____ , ____ ) [1]
(c) Write down the equation for the line of symmetry of T
Answer: ____ [1]

Question 25
The diagram shows a triangular prism ABCDEF with horizontal rectangular base ABCD F is vertically above A
[Diagram or table: see page 26 of the paper]
T is the point on the line BC such that BF : BT = 3: 2
Work out the size of the angle between the line FT and the plane ABCD Give your answer correct to one decimal place. Show your working clearly.
[Diagram or table: see page 27 of the paper]
Answer: ____ [5]