# 4MA1 Mathematics A Oct/Nov 2025 Paper 1H (Higher Tier Paper 1)

Pearson Edexcel International GCSE 4MA1 Mathematics A past paper 1H, Higher Tier Paper 1, Oct/Nov 2025. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4ma1/2025-oct-nov-paper-1h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2025_paper_1H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 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 number of kilometres that Ted cycled on each of the 30 days in April.
[Diagram or table: see page 3 of the paper]
0  K < 5
5  K < 10
[Diagram or table: see page 3 of the paper]
Calculate an estimate for the mean number of kilometres that Ted cycled on each day in April.
Answer: ____ kilometres [4]

Question 2
By rounding each number to one significant figure, work out an estimate for the value of
[Diagram or table: see page 4 of the paper]
Show your working clearly.
Answer: ____ [2]

Question 3
Using ruler and compasses only, construct the bisector of angle ABC Show all your construction lines.
[Diagram or table: see page 4 of the paper]
[2]

Question 4
e, f and g represent integers such that
[Diagram or table: see page 5 of the paper]
is a list of integers written in order of size.
The integers have
a range of 15 a median of 8.5 a mean of 9
Work out the value of e, the value of f and the value of g
Answer: e = ____
Answer: f = ____
Answer: g = ____ [3]

Question 5
Show that 3 5/7  1 2/3  5 8/21 [3]

Question 6
Eli and Peta share $275 in the ratio 2 : 3
Eli gives 3/11 of his share to charity.
Peta gives 0.32 of her share to charity.
Work out the total amount that Eli and Peta give to charity.
Answer: $ ____ [4]

Question 7
The weight of a bag of apples is 475 g correct to the nearest g
(a) Write down the lower bound of the weight.
Answer: ____ g [1]
The height of a box is 120 cm correct to the nearest 10 cm
(b) Write down the upper bound for the height.
Answer: ____ cm [1]
8^^2  8^9_n

Question 8
_10  8
Work out the value of n
Answer: n = ____ [2]

Question 9
Hari scored 140 points playing a game on Tuesday. This was 12% more points than he scored playing the game on Monday.
Work out the number of points that Hari scored playing the game on Monday.
Answer: ____ [3]

Question 10
(a) Simplify (6m)^0
Answer: ____ [1]
(b) Solve 5y + 20 < 7y + 1
Answer: ____ [2]
(c) Factorise fully 15w^2 x^5+ 25w^3 x^2
Answer: ____ [2]
(d) Simplify fully 36a c/12a c_2_3
Answer: ____ [2]

Question 11
ABC is a right-angled triangle.
[Diagram or table: see page 9 of the paper]
The point D lies on AB such that DB = 9 cm
Work out the size of angle ACD Give your answer correct to one decimal place.
[Diagram or table: see page 9 of the paper]
Answer: ____ [4]

Question 12
[Diagram or table: see page 10 of the paper]
The diagram shows part of a regular n-sided polygon with
an interior angle of (9x + 27)° an exterior angle of (2x – 23)°
Work out the value of n
Answer: n = ____ [4]

Question 13
In a bag, there are only 2 yellow beads and 3 orange beads. In a box, there are only 3 yellow beads and 5 green beads.
Chi takes at random a bead from the bag and a bead from the box.
(a) Complete the probability tree diagram.
[Diagram or table: see page 11 of the paper]
Answer: ____
[Diagram or table: see page 11 of the paper]
Answer: ____
[Diagram or table: see page 11 of the paper]
Answer: ____
[Diagram or table: see page 11 of the paper]
Answer: ____ [2]
(b) Work out the probability that Chi takes two beads of different colours.
Answer: ____ [3]

Question 14
(a) Expand and simplify 7x(3x + 2)(2x – 5)
Answer: ____ [3]
(b) Solve 9/2 y  5/7  5
Show clear algebraic working.
Answer: y = ____ [3]

Question 15
AOB is a sector of a circle with centre O and radius 12 cm
[Diagram or table: see page 13 of the paper]
Work out the area of the sector. Give your answer correct to 3 significant figures.
Answer: ____ cm^2 [2]

Question 16
Ivan asked 15 people how many books they read last year.
Here are his results.
[Diagram or table: see page 13 of the paper]
Work out the interquartile range of the number of books read.
Answer: ____
2 [2]

Question 17
Show that 7  2/7  3 can be written in the form a – b where a and b are integers.
Show your working clearly. [3]

Question 18
Make y the subject of p  y  w/3y  t
Answer: ____ [4]

Question 19
The diagram shows triangle ABC
[Diagram or table: see page 15 of the paper]
AB = 8 cm BC = 10 cm CA = 9 cm
Work out the size of angle BAC Give your answer correct to one decimal place.
[Diagram or table: see page 15 of the paper]
Answer: ____ [3]

Question 20
The straight line L has equation y = 4x + 7
The straight line M is perpendicular to L and passes through the point with coordinates (8, 1)
Find an equation for M Give your answer in the form y = mx + c
Answer: ____ [3]

Question 21
Express 5x^2 ‒ 20x + 23 in the form a(x – b)^2+ c where a, b and c are integers.
Answer: ____ [3]

Question 22
There are 15 buttons in a box.
3 of the buttons are red 2 of the buttons are pink 10 of the buttons are blue
Pete takes at random three buttons from the box.
Work out the probability that there is still at least one pink button in the box.
Answer: ____
2x  5 5  2 y [3]

Question 23
a  x  1  x 3y
[Diagram or table: see page 19 of the paper]
Write a in the form where m, n and p are integers.
Show your working clearly.
Answer: a = ____ [3]

Question 24
A curve has equation y = f (x)
There is only one turning point on the curve. The coordinates of this turning point are (4, 3)
Write down the coordinates of the turning point on the curve with equation
(i) y = f (x + 5)
Answer: ( ____ _, ____ ) [1]
(ii) y = f (x) + 7
Answer: ( ____ _, ____ ) [1]
(iii) y = f (2x)
Answer: ( ____ _, ____ ) [1]

Question 25
Solve the inequality 2x^2+ x – 28 > 0 Show clear algebraic working.
Answer: ____ [3]

Question 26
Here is a prism ABCDEFGH with a horizontal, rectangular base ABGF
[Diagram or table: see page 22 of the paper]
AB = 10 cm BG = 14 cm
angle DAB = angle ABC = angle EFG = angle FGH = 90°
BC = 1/5 AD
The angle of elevation of E from B is 50°
Calculate the volume of the prism. Give your answer correct to 3 significant figures. Show your working clearly.
Answer: ____ cm^3 [5]

Question 27
[Diagram or table: see page 24 of the paper]
OABC is a quadrilateral. ABP and ODP are straight lines.
OA = 2a AB = 4b – a OC = 5b – 3a →
(a) Find an expression in terms of a and b for the vector BC Simplify your answer.
Answer: ____ [2]
The point D lies on BC such that BD : DC = 1 : 3 → → Given that OP = nOD
(b) use a vector method to find the value of n
Answer: n = ____ [4]

Question 28
The curve C has equation x^2+ y^2= d – 11x where d is an integer. The line L has equation y = 3x + e where e is an integer.
C and L intersect at the point A and at the point B
The coordinates of A are (0.2, 2.6)
Work out the coordinates of B Show your working clearly.
Answer: ( ____ _, ____ ) [6]

