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

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1HR, 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-1hr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2026_paper_1HR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2026
- Paper: 1HR (Higher Tier Paper 1)
- Component code: 4MA1/1HR
- 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 2 4/5 ´ 3 3/7 = 9 3/5 [3]

Question 2
Write 504 as a product of powers of its prime factors. Show your working clearly.
Answer: ____ [3]

Question 3
(a) Simplify e^7 × e^3
Answer: ____ [1]
(b) Simplify g^5 ÷ g^2
Answer: ____ [1]

Question 4
The weight of a giraffe is 1178 kg, correct to the nearest kg
(i) Write down the lower bound of the weight of the giraffe.
Answer: ____ _kg [1]
(ii) Write down the upper bound of the weight of the giraffe.
Answer: ____ _kg [1]

Question 5
A bag contains only blue counters, green counters, red counters and yellow counters.
Danny takes a counter at random from the bag.
The table gives information about the probabilities that he takes a blue counter or a green counter or a red counter or a yellow counter.
[Diagram or table: see page 6 of the paper]
There are 400 counters in the bag.
Work out the number of red counters in the bag.
Answer: ____ [4]

Question 6
[Diagram or table: see page 7 of the paper]
8 cm 24 cm
A and B are similar parallelograms.
Work out the area of B
Answer: ____ _cm^2 [3]

Question 7
[Diagram or table: see page 8 of the paper]
(a) Represent the inequality x < 1 on the number line above. [1]
2  y + 3 < 7 y is an integer.
(b) Write down all the possible values of y
Answer: ____ [2]
(c) Solve the inequality 8 – 5w > –10
Answer: ____ [2]

Question 8
Factorise x^2– 12x + 32
Answer: ____ [2]

Question 9
Caleb owns 11 sheep.
The mean weight of all 11 sheep is 77 kg The mean weight of 8 of the sheep is 75.2 kg
Work out the mean weight of the other 3 sheep.
Answer: ____ kg [3]

Question 10
Arwa invests 200 000 yen in a savings account for 3 years. She gets 1.4% per year compound interest.
Work out how much money Arwa will have in her savings account at the end of 3 years. Give your answer correct to the nearest yen.
Answer: ____ _yen [3]

Question 11
The diagram shows a solid cuboid.
[Diagram or table: see page 11 of the paper]
The cuboid measures 3 cm by 11 cm by x cm
The volume of the cuboid is 264 cm^3
Work out the total surface area of the cuboid.
Answer: ____ _cm^2 [4]

Question 12
Solve the simultaneous equations
[Diagram or table: see page 12 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 13
The straight line L has equation 4y – 10x – 5 = 0
(a) Find the gradient of L
Answer: ____ [2]
(b) Find the coordinates of the point where L crosses the y‑axis.
Answer: ( ____ , ____ ) [1]

Question 14
The cumulative frequency table gives information about the ages, in years, of 80 people who went to a cinema on Saturday.
[Diagram or table: see page 14 of the paper]
(a) On the grid below, draw a cumulative frequency graph for this information.
[Diagram or table: see page 15 of the paper]
[2]
(b) Use your graph to find an estimate for the median age of the 80 people.
Answer: ____ _years [1]
(c) Use your graph to find an estimate for the number of the 80 people aged 16 and under.
Answer: ____ [1]

Question 15
[Diagram or table: see page 16 of the paper]
BCDEF is a pentagon. AB, BC and CD are three sides of a regular 10‑sided polygon.
Find the value of x
Answer: x = ____
[Diagram or table: see page 17 of the paper]
[3]

Question 16
(a) Express as a single fraction in its simplest form.
[Diagram or table: see page 17 of the paper]
Answer: ____ [3]
(b) Expand and simplify 3x(2x – 1)(x + 4)
Answer: ____ [3]

Question 17
y = x^3+ 5x^2– 8x
(a) Find dy/dx
[Diagram or table: see page 18 of the paper]
Answer: = ____
[2]
The curve with equation y = x^3+ 5x^2– 8x has two stationary points, P and Q The x‑coordinate of P is less than the x‑coordinate of Q
(b) Work out the coordinates of P Show clear algebraic working.
Answer: ( ____ , ____ ) [3]

Question 18
Here are 8 cards. There is a number on each card.
[Diagram or table: see page 19 of the paper]
Gordon puts the 8 cards in a bag. He takes at random a card from the bag and does not replace it. Gordon then takes at random a second card from the bag.
Calculate the probability that the number on the second card is 3 more than the number on the first card.
Answer: ____ [3]

Question 19
P, Q, R and S are points on a circle, centre O
[Diagram or table: see page 20 of the paper]
Angle POR = 170° Angle ORS = 53°
Find the size of angle SPO Give a reason for each stage of your working.
[Diagram or table: see page 20 of the paper]
Answer: ____ [5]

Question 20
y is directly proportional to t^2 y = 40 when t = 4
t is directly proportional to the cube root of x t = 12 when x = 8
Work out the value of y when x = 27
Answer: y = ____ [5]

Question 21
60 students were asked if they study French (F), German (G) or Italian (I)
Of these students
32 students study French 24 students study German 27 students study Italian 16 students study French and German 15 students study German and Italian
The incomplete Venn diagram gives some more information about the languages the 60 students study.
[Diagram or table: see page 22 of the paper]
(a) Work out the value of x
Answer: x = ____ [3]
(b) Work out how many of the 60 students study none of French or German or Italian.
Answer: ____ [2]

Question 22
The diagram shows triangle ABC
[Diagram or table: see page 23 of the paper]
Calculate the area of the triangle. Give your answer correct to 3 significant figures.
Answer: ____ _cm^2 [4]

Question 23
The function f is such that f(x) = 1/x
(a) Write down the value of x that cannot be included in any domain of f
Answer: ____ [1]
The function g is such that g(x) = 4x^2– 8x + 15 The domain of g is x  1
(b) Work out gf(0.5)
Answer: ____ [2]
(c) Express the inverse function g^–1 in the form g^–1(x) = ...
Answer: g^–1(x) = ____ [4]

Question 24
The centre of a circle is the point with coordinates (3, 1)
The point P with coordinates (7, 6) lies on the circle.
The line L is the tangent to the circle at P
Find an equation for L Give your answer in the form ax + by + c = 0 where a, b and c are integers.
Answer: ____ [4]

Question 25
[Diagram or table: see page 26 of the paper]
OA = 3a OB = 4b AC = 2a + 2b CD = 3/2 × AC
P is the point on BC such that OPD is a straight line. →
(a) Find OD in terms of a and b Give your answer in its simplest form.
Answer: ____ [2]
(b) Find the ratio OP : PD Show your working clearly.
Answer: ____ [4]

Question 26
[Diagram or table: see page 28 of the paper]
Express x in terms of n Show your working clearly and simplify your expression.
Answer: x = ____ [3]