# 4MA1 Mathematics A May/June 2025 Paper 1H (Higher Tier Paper 1)

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.

- Page: https://mathvsarham.com/past-papers/4ma1/2025-may-june-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2025_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2025
- 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
The table gives information about the distances 100 adults travel to work.
[Diagram or table: see page 3 of the paper]
10 < d  15
15 < d  20
20 < d  25
(a) Write down the modal class.
Answer: ____ [1]
(b) Work out an estimate for the mean distance.
Answer: ____ _km [4]

Question 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.
Answer: ____ % [4]
The height of each cup is 9 cm, correct to the nearest cm
(b) Write down the lower bound of the height.
Answer: ____ 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.
Answer: ____ g [1]

Question 3
[Diagram or table: see 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.
Answer: n = ____ [4]

Question 4
x^5 × x^7= x^m
(a) Find the value of m
Answer: m = ____ [1]
y^8÷ y^3= y^n
(b) Find the value of n
Answer: n = ____ [1]
(c) Simplify fully (5a^4 r^2)^3
Answer: ____ [2]

Question 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.
Answer: ____ _euros [3]

Question 6
(a) Solve x – 4 = 3 + 2x/6
Show clear algebraic working.
Answer: x = ____ [3]
(b)(i) Factorise y^2– 11y + 30
Answer: ____ [2]
(ii) Hence solve y^2– 11y + 30 = 0
Answer: ____ [1]

Question 7
Here is a solid cylinder.
[Diagram or table: see 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 cm^3
Work out the value of h Give your answer correct to one decimal place.
Answer: h = ____ [3]

Question 8
(a) Write 520 million in standard form.
Answer: ____ [1]
(b) Write 8.79 × 10^–5 as an ordinary number.
Answer: ____ [1]
(c) Work out (5 × 10^42) × (7 × 10^–180) Give your answer in standard form.
Answer: ____ [2]

Question 9
[Diagram or table: see page 10 of the paper]
ABCD is a trapezium with one line of symmetry.
[Diagram or table: see page 10 of the paper]
Work out the area of the trapezium. Give your answer correct to 3 significant figures. Show your working clearly.
Answer: ____ cm^2 [5]

Question 10
(a) Complete the table of values for y = x^3+ 2x + 3
[Diagram or table: see page 11 of the paper]
[1]
(b) On the grid, draw the graph of y = x^3+ 2x + 3 for –3  x  3
[Diagram or table: see page 11 of the paper]
[2]

Question 11
OABC is a sector of a circle, centre O
[Diagram or table: see 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.
Answer: ____ cm^2 [2]

Question 12
Express 5/4  x  3/6x as a single fraction in its simplest form.
Answer: ____ [3]

Question 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
Answer: x = ____ [3]

Question 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.
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____
[Diagram or table: see page 14 of the paper]
Answer: ____ lose [2]
(b) Work out the probability that Ricardo loses both games.
Answer: ____ [2]

Question 15
 3  k 3 where k is an integer.
(a) Find the value of k
Answer: 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]

Question 16
f (x) = 9 – x where x  0 g (x) = 4x^2
(a) Find f (9)
Answer: ____ [1]
(b) Solve fg (x) < 0 Show clear algebraic working.
Answer: ____ [3]

Question 17
The histogram shows information about the times, in minutes, that some people were in a shop.
[Diagram or table: see 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.
Answer: ____ [3]

Question 18
y is inversely proportional to x^3
y = 4 when x = 3
Work out the value of x when y = 864
Answer: x = ____ [4]

Question 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
Answer: ( ____ , ____ ) [1]
(ii) y = f (2x)
Answer: ( ____ , ____ ) [1]

Question 20
[Diagram or table: see page 19 of the paper]
Work out the length of BC Give your answer correct to 3 significant figures.
Answer: ____ cm [5]

Question 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.
Answer: ____ [3]

Question 22
Solve the simultaneous equations
[Diagram or table: see page 21 of the paper]
Show clear algebraic working.
Answer: ____ [5]

Question 23
[Diagram or table: see 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.
[Diagram or table: see page 22 of the paper]
(a) Express AB in terms of a and b
Answer: ____ [1]
[Diagram or table: see page 22 of the paper]
(b) Use a vector method to find the value of n
Answer: n = ____ [4]

Question 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.
Answer: a = ____
Answer: d = ____ [5]

Question 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.
Answer: ____ [5]