# 4MA1 Mathematics A May/June 2025 Paper 2HR (Higher Tier Paper 2)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 2HR, Higher Tier Paper 2, May/June 2025. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2025-may-june-paper-2hr/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_may-june_2025_paper_2HR_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: May/June 2025
- Paper: 2HR (Higher Tier Paper 2)
- Component code: 4MA1/2HR
- 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
(a) Factorise fully 18c − 45cd
Answer: ____ [2]
(b) Solve 5  2x/6  3x  4
Show clear algebraic working.
Answer: x = ____ [3]

Question 2
Write 1400 as a product of powers of its prime factors. Show your working clearly.
Answer: ____ [3]

Question 3
Solve the simultaneous equations
[Diagram or table: see page 4 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 4
Joshua is going to cover a floor with tiles for a customer. The area of the floor is 45 m^2
Joshua buys one box of tiles for each 1.5 m^2 of floor area. Each box of tiles costs £64
Joshua also buys 5 bags of tile adhesive. Each bag of tile adhesive costs £12
Joshua charges the customer £3000
Work out his percentage profit. Give your answer correct to one decimal place.
Answer: ____ _% [5]

Question 5
[Diagram or table: see page 6 of the paper]
(a) On the grid above, reflect shape A in the line y = x [2]
[Diagram or table: see page 7 of the paper]
(b) On the grid above, enlarge shape B by scale factor 2 with centre (1, 1) [2]

Question 6
(a) Write down the value of 5^0
Answer: ____ [1]
5^9  5^^3_k
(b) Find the value of k
Answer: k = ____ [2]
(c) Simplify fully 2d^4 e^5
[Diagram or table: see page 8 of the paper]
Answer: ____ [2]

Question 7
The mass of a silver coin is 48.3 g The density of silver is 10.5 g/cm^3
Work out the volume of the silver coin.
Answer: ____ _cm^3 [2]

Question 8
The mean of 7 numbers is 60
The mean of 3 of the numbers is 46
Work out the mean of the other 4 numbers.
Answer: ____ [3]

Question 9
In a sale, normal prices are reduced by 15%
The sale price of a dishwasher is 612 Swiss francs.
Work out the normal price of the dishwasher.
Answer: ____ Swiss francs [3]

Question 10
A straight line, L, is parallel to the line with equation y = 2 – 5x The line L passes through the point (0, 6)
Find an equation of the line L
Answer: ____ [2]

Question 11
The diagram shows two triangles, ADE and CDB
[Diagram or table: see page 11 of the paper]
ABD is a straight line.
AE = 28 cm ED = 45 cm AB = 21 cm CD = 35 cm
angle AED = angle CBD = 90°
Work out the area of triangle CDB Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [5]

Question 12
Osman buys a car for $16 000
The car depreciates at a rate of 12% each year for the first 2 years. In the third year, the car depreciates at a rate of x %
At the end of 3 years, the value of the car is $11 461.12
Work out the value of x
Answer: ____ [3]

Question 13
(a) Factorise 4x^2 − 25y^2
Answer: ____ [2]
(b) Show that 4x(x  3)(2x  5) can be written in the form ax^3 + bx^2 + cx where a, b and c are integers to be found. [3]

Question 14
Sara has two bags, A and B
In bag A, there are only 5 red beads and 4 green beads. In bag B, there are only 7 red beads and 3 green beads.
Sara takes at random a bead from bag A She then takes at random a bead from bag B
(a) Use this information to complete the probability tree diagram.
[Diagram or table: see page 14 of the paper]
[2]
(b) Work out the probability that Sara takes two red beads.
Answer: ____ [2]
Sara puts the beads back into their original bags.
Sara also has a box of beads. In the box, there are only red beads and green beads.
When a bead is taken at random from the box, the probability that it is
a green bead is 2/11
Sara takes at random a bead from bag A She then takes at random a bead from bag B She then takes at random a bead from the box.
(c) Work out the probability that Sara takes more red beads than green beads.
Answer: ____ [3]

Question 15
A, B and C are points on a circle, centre O
[Diagram or table: see page 16 of the paper]
Angle BAO = 36° Angle BCO = 21°
Work out the size of angle ACO
[Diagram or table: see page 16 of the paper]
Answer: ____ [3]

Question 16
Show that 4/5 + 7 can be written in the form a − b where a and b are integers.
Show each stage of your working.
[3]

Question 17
Make k the subject of p  8k/7  3k_2
Answer: ____ [4]

Question 18
OAB is a triangle.
[Diagram or table: see page 18 of the paper]
P is the point on AB such that AP : PB = 1 : 3
(a) Write down in terms of a and b
Answer: ____ [1]
(b) Express in terms of a and b Give your answer in its simplest form.
Answer: ____ [2]

Question 19
The functions f and g are such that
[Diagram or table: see page 19 of the paper]
(a) State the value of x that cannot be included in any domain of g
Answer: ____ [1]
(b) Find gf(x) Give your answer in its simplest form.
Answer: gf(x) = ____ [2]

Question 20
The histogram gives some information about the weights, in grams, of some books.
[Diagram or table: see page 20 of the paper]
75 books weigh less than 100 grams.
A book is chosen at random.
Find an estimate for the probability that this book weighs between 400 grams and 600 grams.
Answer: ____ [4]

Question 21
Solve the inequality 2x^2  7x  15  0
Show clear algebraic working.
Answer: ____ [3]

Question 22
The diagram shows a solid cuboid.
[Diagram or table: see page 22 of the paper]
The volume of the cuboid is V cm^3
Find the maximum value of V
Answer: ____ [5]

Question 23
The diagram shows a triangular prism, ABCDEF, with a horizontal rectangular base ABCD
[Diagram or table: see page 23 of the paper]
M is the midpoint of the line AC
AC = 40 cm angle CAE = 35° angle ABF = 90°
Work out the size of angle CME Give your answer correct to 3 significant figures.
[Diagram or table: see page 23 of the paper]
Answer: ____ [3]

Question 24
PQ is a straight line drawn on a square grid, with a scale of 1 cm for 1 unit on each axis.
P has coordinates 5, a and Q has coordinates 7, 3a where a > 0
The length of PQ is 4 10 cm
Find an equation of the perpendicular bisector of PQ Give your answer in the form y  mx  c where m and c are integers.
Answer: ____ [6]

Question 25
The graph of y  a sin(x  b)^  c for 0  x  360 is drawn on the grid below.
[Diagram or table: see page 25 of the paper]
Find a suitable value for a, for b and for c
Answer: a = ____
Answer: b = ____
Answer: c = ____ [3]

Question 26
The diagram shows a solid hemisphere, H
[Diagram or table: see page 26 of the paper]
The radius of H is x cm The volume of H is 6174π cm^3
A bowl is made by removing a solid hemisphere from H such that the uniform thickness of the bowl is 2 cm
Diagram NOT accurately drawn
[Diagram or table: see page 26 of the paper]
Work out the total surface area of the bowl. Give your answer in terms of π
Answer: ____ _cm^2 [5]