4MA1 Mathematics A: May/June 2025 Paper 1HHigher Tier Paper 1
4MA1/1H
Pearson Edexcel International GCSE Mathematics A, May/June 2025, Higher Tier Paper 1.
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Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, May/June 2025. Open it online or download the question paper PDF free.
Sit this paper like the real exam
2 h · 100 marks
Questions
Rebuilt from the 4MA1/1H May/June 2025 paper so it reads well on any screen. Diagrams and tables are shown from the original.
- 1
The table gives information about the distances 100 adults travel to work.
Loading diagram…From page 3 of the paper. 10 < d 15
15 < d 20
20 < d 25
(a)Write down the modal class.
[1]
(b)Work out an estimate for the mean distance.
km[4]
- 2
Anna makes cups. Each cup costs 6 Swiss francs to make.
Anna puts the cups into boxes to sell. Each box contains 4 cups.
Anna sells 80 boxes of cups for a total of 2160 Swiss francs.
(a)Work out the percentage profit Anna makes. Show your working clearly.
%[4]
The height of each cup is 9 cm, correct to the nearest cm
(b)Write down the lower bound of the height.
cm[1]
The weight of each cup is 120 g, correct to the nearest 10 g
(c)Write down the upper bound of the weight.
g[1]
- 3Loading diagram…
From page 5 of the paper. AB and BC are two sides of a regular polygon with n sides.
Work out the value of n Show your working clearly.
n = [4]
- 4
x5 × x7= xm
(a)Find the value of m
m = [1]
y8÷ y3= yn
(b)Find the value of n
n = [1]
(c)Simplify fully (5a4 r2)3
[2]
- 5
In a sale, normal prices are reduced by 28% The sale price of a watch is 198 euros.
Work out the normal price of the watch.
euros[3]
- 6
(a)Solve x – 4 = 3 + 2x6
Show clear algebraic working.
x = [3]
(b)(i)Factorise y2– 11y + 30
[2]
(ii)Hence solve y2– 11y + 30 = 0
[1]
- 7
Here is a solid cylinder.
Loading diagram…From page 8 of the paper. The radius of the cylinder is 8 cm The height of the cylinder is h cm
The volume of the cylinder is 3892 cm3
Work out the value of h Give your answer correct to one decimal place.
h = [3]
- 8
(a)Write 520 million in standard form.
[1]
(b)Write 8.79 × 10–5 as an ordinary number.
[1]
(c)Work out (5 × 1042) × (7 × 10–180) Give your answer in standard form.
[2]
- 9Loading diagram…
From page 10 of the paper. ABCD is a trapezium with one line of symmetry.
Loading diagram…From page 10 of the paper. Work out the area of the trapezium. Give your answer correct to 3 significant figures. Show your working clearly.
cm2[5]
- 10
(a)Complete the table of values for y = x3+ 2x + 3
Loading diagram…From page 11 of the paper. [1]
(b)On the grid, draw the graph of y = x3+ 2x + 3 for –3 x 3
Loading diagram…From page 11 of the paper. [2]
- 11
OABC is a sector of a circle, centre O
Loading diagram…From page 12 of the paper. angle AOC = 140° OA = OC = 16 cm
Calculate the area of the sector. Give your answer correct to 3 significant figures.
cm2[2]
- 12
Express 54 x 36x as a single fraction in its simplest form.
[3]
- 13
Charlotte bought an apartment for $750 000
In the first year, the value of the apartment decreased by 4% In the second year, the value of the apartment decreased by 6.5%
In the third year, the value of the apartment increased by x%
At the end of the third year, the value of Charlotte’s apartment was $698 445
Work out the value of x
x = [3]
- 14
Ricardo is going to play one game of badminton and one game of tennis.
He can either win or lose each game.
The probability that he will win the game of badminton is 0.7 The probability that he will win the game of tennis is 0.4
(a)Complete the probability tree diagram.
Loading diagram…From page 14 of the paper. Loading diagram…From page 14 of the paper. Loading diagram…From page 14 of the paper. Loading diagram…From page 14 of the paper. lose[2]
(b)Work out the probability that Ricardo loses both games.
[2]
- 15
3 k 3 where k is an integer.
(a)Find the value of k
k = [1]
(b)Show that can be written in the form c + d
where c and d are integers. Show each stage of your working clearly.[3]
- 16
f (x) = 9 – x where x 0 g (x) = 4x2
(a)Find f (9)
[1]
(b)Solve fg (x) < 0 Show clear algebraic working.
[3]
- 17
The histogram shows information about the times, in minutes, that some people were in a shop.
Loading diagram…From page 17 of the paper. Work out an estimate for the proportion of these people who were in the shop for more than 40 minutes.
[3]
- 18
y is inversely proportional to x3
y = 4 when x = 3
Work out the value of x when y = 864
x = [4]
- 19
The equation of a curve is y = f (x)
There is only one minimum point on the curve. The coordinates of this minimum point are (8, –12)
Write down the coordinates of the minimum point on the curve with equation
(i)y = f (x) + 3
( , )[1]
(ii)y = f (2x)
( , )[1]
- 20Loading diagram…
From page 19 of the paper. Work out the length of BC Give your answer correct to 3 significant figures.
cm[5]
- 21
A box contains 20 counters.
9 of the counters are red 7 of the counters are yellow 4 of the counters are green
Alex takes at random three counters from the box.
Work out the probability that exactly two of the three counters are the same colour.
[3]
- 22
Solve the simultaneous equations
Loading diagram…From page 21 of the paper. Show clear algebraic working.
[5]
- 23Loading diagram…
From page 22 of the paper. OAB is a triangle. P is the midpoint of OA Q is a point on OB
ABR and PQR are straight lines.
Loading diagram…From page 22 of the paper. (a)Express AB in terms of a and b
[1]
Loading diagram…From page 22 of the paper. (b)Use a vector method to find the value of n
n = [4]
- 24
An arithmetic series has 30 terms.
The first term is a The common difference is d
The 20th term is 123 The sum of the 30 terms is 2880
Work out the value of a and the value of d Show clear algebraic working.
a =
d = [5]
- 25
PQRS is a square.
PR is a diagonal of the square.
P is the point with coordinates (4, 7) R is the point with coordinates (8, –5)
Find an equation of the straight line that passes through the points Q and S Give your answer in the form ay = bx + c where a, b and c are integers.
[5]