# 4MA1 Mathematics A May/June 2026 Paper 2H (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2H, Higher Tier Paper 2, May/June 2026. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2026-may-june-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2026_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2026
- Paper: 2H (Higher Tier Paper 2)
- Component code: 4MA1/2H
- Time allowed: 120 minutes
- Total marks: 100
- Pages: 32

## Question paper text

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

Question 1
Write 4500 as a product of powers of its prime factors. Show your working clearly.
Answer: ____ [3]

Question 2
The nth term of an arithmetic sequence is given by 8n − 5
(a) Work out the ratio of the 40th term of the sequence to the 60th term of the sequence. Give your ratio in its simplest form.
Answer: ____ [3]
Here are the first five terms of a different arithmetic sequence.
[Diagram or table: see page 4 of the paper]
(b) Find an expression for the nth term of this sequence.
Answer: ____ [2]

Question 3
The table shows information about the number of hours each of 40 candles burned.
Number of hours (h) Frequency
15 < h 19 2
19 < h  23 5
23 < h  27 12
27 < h  31 15
31< h  35 6
(a) Write down the modal class.
Answer: ____ [1]
(b) Work out an estimate for the mean number of hours.
Answer: ____ hours [4]

Question 4
Sara sells water bottles.
In July, she sold 450 water bottles. In August, she sold 612 water bottles.
Work out the percentage increase in the number of water bottles she sold from July to August.
Answer: ____ % [3]

Question 5
[Diagram or table: see page 7 of the paper]
(a) Describe fully the single transformation that maps triangle A onto triangle B
Answer: ____ [3]
(b) On the grid, translate triangle A by the vector /3     Label your triangle C [1]

Question 6
ABCDE is a pentagon.
Diagram NOT
[Diagram or table: see page 8 of the paper]
angle EAB  96 angle BCD  91 angle CDE  93 angle DEA = angle ABC  x
Work out the value of x
[Diagram or table: see page 8 of the paper]
Answer: ____ [3]

Question 7
The diagram shows a cylinder and a prism.
[Diagram or table: see page 9 of the paper]
The radius of the cylinder is 7 cm The height of the cylinder is 18 cm
The area of the cross section of the prism, shown shaded in the diagram, is 120 cm^2 The length of the prism is L cm
The volume of the cylinder is equal to the volume of the prism.
Work out the value of L Give your answer correct to 3 significant figures.
Answer: L = ____ [3]

Question 8
A golf club increases the cost of membership by 17% After the increase, the cost of membership is 3276 zloty.
Work out the cost of membership before the increase.
Answer: ____ zloty [3]

Question 9
(a) Find the value of 7n^0 where n > 0
Answer: ____ [1]
(b) Simplify fully 2m^5 p^4
[Diagram or table: see page 11 of the paper]
Answer: ____ [2]
(c) Factorise fully 18c^5 w^2 + 30cw^3
Answer: ____ [2]
(d) Factorise x^2  6x  27
Answer: ____ [2]

Question 10
Johan owns a car.
The current value of the car is 32 000 euros. The value of the car will now depreciate by 15% per year.
Lena is going to save up and buy Johan’s car in 3 years’ time. She has already saved 2516 euros.
She will save an equal amount of money each month for the next 3 years.
Work out how much money Lena needs to save each month.
Answer: ____ euros [4]

Question 11
Find the highest prime number that is a factor of 3.6 × 10^24
Answer: ____ [2]

Question 12
E  integers x such that 20  x  32
A  x such that x < 27
B  x such tthat 25  x  30
(a) List the members of the set A ∩ B
Answer: ____ [1]
(b) List the members of the set  A  B'
Answer: ____ [1]

Question 13
Leo collects apples from three trees. The incomplete table gives some information about the apples he collects from these trees.
[Diagram or table: see page 14 of the paper]
Work out the mean weight of all the apples Leo collects from these three trees.
Answer: ____ grams [4]

Question 14
The cumulative frequency graph gives information about the weights, in kg, of 60 crates.
60
50
40
[Diagram or table: see page 15 of the paper]
(a) Use the graph to find an estimate for the median weight.
Answer: ____ kg [1]
(b) Use the graph to find an estimate for the interquartile range.
Answer: ____ kg [2]

Question 15
The diagram shows a sector OABC of a circle, centre O
[Diagram or table: see page 16 of the paper]
OA = OC r cm= angle AOC = 80^
The area of the sector OABC is 32π cm^2
Work out the perimeter of the sector OABC Give your answer correct to one decimal place.
Answer: ____ cm [4]

Question 16
The functions f and g are such that
[Diagram or table: see page 17 of the paper]
(a) Find g(4)
Answer: ____ [1]
(b) Find f^−^1(7)
Answer: ____ [2]
(c) Express gf(x) in the form ax^2 + bx + c where a, b and c are integers.
[Diagram or table: see page 17 of the paper]
Answer: ____ [2]

Question 17
Use algebra to show that 0. 539 = 89/165 [2]

Question 18
Make x the subject of the formula a  3w  x/x_2
[Diagram or table: see page 18 of the paper]
Answer: ____ [4]

Question 19
B, D and E are points on a circle.
[Diagram or table: see page 19 of the paper]
ABC is the tangent to the circle at B
angle ABE  52 ED = BD
Work out the size of angle BED
[Diagram or table: see page 19 of the paper]
Answer: ____ [2]

Question 20
A box only contains green counters and red counters.
Nuno chooses at random a counter from the box. He puts the counter back into the box.
Nuno then chooses at random a second counter from the box.
The probability that Nuno chooses at least one red counter is 39/64
Work out the probability that Nuno chooses exactly one red counter.
Answer: ____ [3]

Question 21
The curve with equation y = f(x) is drawn on a grid.
y
[Diagram or table: see page 22 of the paper]
(a) By drawing a suitable straight line (at least 3 cm long) on the grid, work out an estimate for the gradient of the curve at the point where x = 1 Show your working clearly.
Answer: ____ [2]
(b) By drawing a suitable straight line on the grid, find the solutions
of the equation x  3  1/2 f(x)
Show your working clearly.
Answer: ____ [3]

Question 22
The diagram shows a quadrilateral OABC where O, A, B and C represent the positions of four houses.
[Diagram or table: see page 24 of the paper]
Ria walks directly from A to B Anna walks directly from A to C and then walks directly from C to B
[Diagram or table: see page 24 of the paper]
Work out how much further Anna walks than Ria walks. Give your answer correct to one decimal place.
Answer: ____ metres [4]

Question 23
The straight line L has equation y  3x  2
The curve C has equation x^2  y^2  2 y  12
Find the coordinates of the points where L and C intersect. Show clear algebraic working.
Answer: ( ____ , ____ ) and ( ____ , ____ ) [5]

Question 24
The diagram shows two cones C_1 and C_2
[Diagram or table: see page 27 of the paper]
The vertex of C_1 coincides with the vertex of C_2 at the point A C_1 and C_2 have the same axis of symmetry.
[Diagram or table: see page 27 of the paper]
total surface area of C_1 : total surface area of C_2 = 4 : 9
[Diagram or table: see page 27 of the paper]
Work out the radius of the base of C_2 Show your working clearly.
Answer: ____ cm [5]

Question 25
An arithmetic series has first term 3 and common difference 8
The nth term of the series is U n The sum of the first n terms of the series is Sn
Given that S_5_k  S_3_k  25 560
find the value of U_4_k Show clear algebraic working.
Answer: ____ [5]

Question 26
The curve P has equation y  f  x The coordinates of the minimum point on P are 5, 4
(a) Write down the coordinates of the minimum point on the curve with equation y  3f  x
Answer: ( ____ , ____ ) [1]
The curve Q has equation y  2   x  3
The curve R has equation y  2  3  x
(b) Describe fully the single transformation that maps Q to R
Answer: ____ [1]
The graph of y  a cos x  b  c for −180  x  360 is drawn on the grid.
[Diagram or table: see page 30 of the paper]
Given that a > 0 and 0 < b < 360
(c) find the value of a, the value of b and the value of c
Answer: a = ____
Answer: b = ____
Answer: c = ____ [3]