# 4MA1 Mathematics A Oct/Nov 2025 Paper 2H (Higher Tier Paper 2)

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

- Page: https://mathvsarham.com/past-papers/4ma1/2025-oct-nov-paper-2h/
- PDF: https://mathvsarham.com/papers/4ma1/4MA1_oct-nov_2025_paper_2H_qp.pdf
- Board: Edexcel
- Qualification: Pearson Edexcel International GCSE
- Subject: 4MA1 Mathematics A (https://mathvsarham.com/past-papers/4ma1/)
- Session: Oct/Nov 2025
- Paper: 2H (Higher Tier Paper 2)
- Component code: 4MA1/2H
- 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 point P has coordinates (3, 4) The point Q has coordinates (9, 16)
M is the midpoint of the line PQ
Find the coordinates of M
Answer: ( ____ , ____ ) [2]

Question 2
Solve the simultaneous equations
[Diagram or table: see page 3 of the paper]
Show clear algebraic working.
Answer: x = ____
Answer: y = ____ [3]

Question 3
A box contains only
[Diagram or table: see page 4 of the paper]
and some yellow bricks
7/20 of the bricks are yellow bricks.
Each brick weighs 35 grams.
Work out the total weight of the yellow bricks.
Answer: ____ _grams [4]

Question 4
Here are three similar quadrilaterals.
[Diagram or table: see page 5 of the paper]
Work out the length of JK
Answer: ____ _cm [3]

Question 5
Otis sells ice creams.
On Friday, Otis sells 75 ice creams. On Saturday, Otis sells 87 ice creams.
(a) Work out the percentage increase in the number of ice creams Otis sells from Friday to Saturday.
Answer: ____ % [3]
Claudia buys an ice cream machine for 960 Swiss francs.
The value of the ice cream machine depreciates by 20% each year.
(b) Work out the value of the ice cream machine at the end of 3 years.
Answer: ____ _Swiss_francs [3]

Question 6
A large circle with centre O contains 3 identical small circles. Each circle touches two other circles.
[Diagram or table: see page 7 of the paper]
A, O and B are the centres of the small circles. AOB is a straight line.
The circumference of the large circle is 160 cm
Work out the area of one small circle. Give your answer correct to 3 significant figures.
Answer: ____ _cm^2 [5]

Question 7
(i) Factorise x^2+ 2x – 48
Answer: ____ [2]
(ii) Hence, solve x^2+ 2x – 48 = 0
Answer: ____ [1]

Question 8
(a) Write 5.76 × 10^4 as an ordinary number.
Answer: ____ [1]
(b) Work out 3  10/4  10__2
Give your answer in standard form.
Answer: ____ [2]

Question 9
Mark has three bags, bag A, bag B and bag C
Bag A contains 120 counters. The probability of taking at random a red counter from bag A is 0.45
Bag B contains 80 counters. The probability of taking at random a red counter from bag B is 0.3
Bag C is empty.
Mark puts all the counters from bag A and bag B into bag C
Mark takes at random a counter from bag C
Work out the probability that he takes a red counter.
Answer: ____ [3]

Question 10
(a) On the number line, represent the inequality w < 1
[Diagram or table: see page 10 of the paper]
[1]
The region R, shown shaded in the diagram, is bounded by three straight lines.
[Diagram or table: see page 10 of the paper]
(b) Write down the three inequalities that define the region R
Answer: ____ [3]

Question 11
The diagram shows a right-angled triangle ABC
C
[Diagram or table: see page 11 of the paper]
Area of triangle ABC = 240 cm^2
Work out the perimeter of triangle ABC
Answer: ____ _cm [4]

Question 12
(a) Complete the table of values for y = 1 /2 x + 4/x
[Diagram or table: see page 12 of the paper]
[1]
(b) Draw the graph of y = 1 /2 x + 4/x for 0.5  x  6
[Diagram or table: see page 12 of the paper]
[2]
(c) By drawing a suitable line on the grid, find estimates for the solutions of
the equation x + 4/x = 6
Give your answers correct to one decimal place.
Answer: ____ [2]

Question 13
(a) Simplify fully  125x/_15 /
[Diagram or table: see page 13 of the paper]
Answer: ____ [2]
Given that 4^n = 4/64_p
(b) Express n in terms of m and p
Answer: n = ____ [2]

Question 14
The cumulative frequency graph shows information about the heights of 40 plants that Greta has grown.
[Diagram or table: see page 14 of the paper]
(a) Use the graph to find an estimate for the median height.
Answer: ____ _cm [1]
(b) Use the graph to find an estimate for the interquartile range of the heights.
Answer: ____ _cm [2]
Plants with a height greater than 40 cm are premium plants. Greta sells all the premium plants for 30 euros each.
(c) Work out the total amount of money Greta receives for the premium plants.
Answer: ____ _euros [2]

Question 15
A, B, C and D are points on a circle with centre O
[Diagram or table: see page 16 of the paper]
Angle DAB = 48°
(a)(i) Work out the size of the obtuse angle DOB
Answer: ____ [1]
(ii) Give a reason for your answer.
Answer: ____ [1]
(b)(i) Work out the size of angle BCD
Answer: ____ [1]
(ii) Give a reason for your answer.
Answer: ____ [1]
[Diagram or table: see page 17 of the paper]

Question 16
Use algebra to show that 0.378 = 25/66 [2]

Question 17
T is inversely proportional to m
T = 15 when m = 36
Find a formula for T in terms of m
Answer: ____ [3]

Question 18
Bianca asked 40 students which of the languages Latin (L), Greek (G) and Sanskrit (S) they study.
The Venn diagram gives some information about her results. It shows the number of students in each subset.
[Diagram or table: see page 18 of the paper]
One of these students is selected at random. Work out the probability that this student studies Latin or Sanskrit.
Answer: ____ [3]

Question 19
The functions f and g are such that
[Diagram or table: see page 19 of the paper]
(a) Find g(3)
Answer: ____ [1]
(b) Find gf(x) Give your answer in its simplest form.
Answer: gf(x) = ____ [2]

Question 20
Here is a quadratic equation.
[Diagram or table: see page 20 of the paper]
The solutions of this equation are given by x = 4  2/10
Find the value of a and the value of c Show your working clearly.
Answer: a = ____
Answer: c = ____ [3]

Question 21
The histogram shows information about the times, in minutes, that some trains arrived late at a station one day.
[Diagram or table: see page 21 of the paper]
20 of these trains arrived between 10 minutes late and 15 minutes late.
No trains arrived more than 60 minutes late.
Work out an estimate for the number of these trains that arrived at least 25 minutes late.
Answer: ____ [3]

Question 22
Curve C has equation y = x^3– 16x + 7
At two points on C, the gradient is 11 The tangents to C at these two points have equations of the form y = ax + b
Work out the two possible values of b Show clear algebraic working.
Answer: ____ [6]

Question 23
Shape P is similar to shape Q
The table shows some information about shape P and shape Q
Surface area (cm^2) Volume (cm^3)
[Diagram or table: see page 23 of the paper]
Work out the volume of shape Q
Answer: ____ _cm^3
[Diagram or table: see page 24 of the paper]
[3]

Question 24
D =
[Diagram or table: see page 24 of the paper]
n = 10.3 correct to 1 decimal place p = 7.24 correct to 2 decimal places q = 4.39 correct to 2 decimal places
By considering bounds, work out the value of D to a suitable degree of accuracy. Show your working clearly.
Answer: ____ [5]

Question 25
The first term of an arithmetic series is 10 The 20th term of the series is 86
The sum of the first N terms of the series is 5194
Work out the value of N Show your working clearly.
Answer: N = ____ [5]

Question 26
A solid cone is joined to a solid hemisphere to make the solid shown below.
[Diagram or table: see page 26 of the paper]
The cone is made from copper. The density of copper is 9 g/cm^3
The hemisphere is made from a different metal.
The total mass of the solid is 4752π grams The total volume of the solid is 504π cm^3
Work out the density of the hemisphere. Show your working clearly.
Answer: ____ _g/cm^3 [6]