November 2025 · Paper 2 (4MB1/02) (Edexcel IGCSE Maths): Exam Questions

Write 2 51 104

as an ordinary number.

×

.

Write 0.000 006 37 in standard form.

Calculate 5 10

100

99

7 10

Give your answer in standard form.

Calculate 5 10

100

99

7 10

Give your answer in standard form.

Question 1 continued

Diagram NOT

5 cm

accurately drawn

Figure 1

Figure 1 shows a right circular solid cylinder with radius 5 cm and height 8 cm

Calculate, in cm² to 3 significant figures, the total surface area of the cylinder.

A and B are two mathematically similar solids.

The surface area of A is 3051 cm²

The surface area of B is 5424 cm²

Given that

volume of A + volume of B = 2548 cm³

Diagram NOT

5 cm

accurately drawn

Figure 1

Figure 1 shows a right circular solid cylinder with radius 5 cm and height 8 cm

calculate the volume, in cm³, of B

Question 2 continued

Solve the inequality $3p - 2 > 4$

Solve the inequality $5(2 - q) < 30$

On the grid opposite, by drawing suitable straight lines and using shading, show the

region R that satisfies the inequalities

$y > 1 \qquad x + y < 5 \qquad y < 2x + 3$

Label the region R

B

C

Diagram NOT

accurately drawn

21.7 cm

56°

D

A

34.9 cm

Figure 2

Figure 2 shows trapezium ABCD

AB = 21.7 cm AD = 34.9 cm

ABC

BAD

56°

ADC

90°

Calculate the perimeter, in cm to 3 significant figures, of trapezium ABCD

P

Diagram NOT

accurately drawn

r cm

Q

72°

r cm

O

Figure 3

Figure 3 shows sector POQ of a circle with centre O and radius r cm

POQ

72°

Given that the perimeter of trapezium ABCD is equal to the perimeter of sector POQ

B

C

21.7 cm

56°

D

A

34.9 cm

Figure 2

Figure 2 shows trapezium ABCD

AB = 21.7 cm AD = 34.9 cm

ABC

BAD

56°

ADC

90°

calculate the area, in cm² to 3 significant figures, of sector POQ

Question 4 continued

Question 4 continued

Question 4 continued

Solve the simultaneous equations

$4x^2 - y^2 = 27$

$x + 2y = 3$

Show clear algebraic working.

The accurate pie chart below shows information about the ages, in years, of 120 runners.

over 50

under 18

35 to 50

18 to 24

25 to 34

Calculate how many of these 120 runners are aged 25 to 34

Xavier is one of the runners.

He runs

3000 metres to the nearest 100 metres

in

18 minutes to the nearest minute

The accurate pie chart below shows information about the ages, in years, of 120 runners.

over 50

under 18

35 to 50

18 to 24

25 to 34

Calculate the lower bound, in metres/minute to 3 significant figures, for Xavier’s

average speed.

Show all your working.

Question 6 continued

The times, in minutes, for the 120 runners to complete 5 km is recorded.

No runner takes less than 15 minutes or more than 70 minutes.

The incomplete table and the incomplete histogram give information about the times.

Frequency

density

10

20

30

40

50

60

70

Time (t minutes)

The accurate pie chart below shows information about the ages, in years, of 120 runners.

over 50

under 18

35 to 50

18 to 24

25 to 34

Complete the table and the histogram.

Question 6 continued

Question 6 continued

Alex produces and sells cans of drink.

The table shows the production costs for 80 000 cans of drink.

Calculate the manufacturing cost as a percentage of the total production cost.

Give your answer to one decimal place.

Alex sells each of the 80 000 cans of drink for £0.60

Using the exchange rate of £1 = 1.15 euros,

Alex produces and sells cans of drink.

The table shows the production costs for 80 000 cans of drink.

calculate the percentage profit that Alex makes.

Give your answer to 3 significant figures.

Alex borrows £20 000 on 1st January 2026 from a bank.

On 31st December each year, starting on 31st December 2026, the bank charges interest

of 8.4% on the amount of money that Alex owes the bank.

This interest is added to the amount of money that he owes the bank.

Given that Alex does not repay any of the money that he owes the bank,

Alex produces and sells cans of drink.

The table shows the production costs for 80 000 cans of drink.

calculate how much money Alex owes the bank on 1st January 2028

Give your answer to 2 decimal places.

Alex also sells snacks.

The selling price for each snack, after tax is added, is £0.90

Given that the rate of tax is 20%

Alex produces and sells cans of drink.

The table shows the production costs for 80 000 cans of drink.

calculate the selling price for each snack, in £, before tax is added.

Question 7 continued

Question 7 continued

Question 7 continued

Triangle A and triangle E are drawn on the grid opposite.

Describe fully the single transformation that maps triangle A onto triangle E

6



Triangle A is transformed to triangle B under the translation



2

Triangle A and triangle E are drawn on the grid opposite.

On the grid, draw and label triangle B

Triangle A is transformed to triangle C under an enlargement with scale factor 3 and

centre of enlargement (5, 7)

Triangle A and triangle E are drawn on the grid opposite.

On the grid, draw and label triangle C

Triangle A is transformed to triangle D under the transformation with matrix M where

$M = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}$

Triangle A and triangle E are drawn on the grid opposite.

On the grid, draw and label triangle D

Question 8 continued

y

8

x

Turn over for a spare grid if you need to redraw your triangles.

Question 8 continued

Only use this grid if you need to redraw your triangles.

y

8

x

Complete the table of values for $y = 2x^3 - 9x^2 + 3x + 7$

On the grid opposite, plot the points from your completed table and join them to

form a smooth curve.

By drawing a suitable straight line (at least 3 cm long) on the grid, find an estimate

for the gradient of the curve at the point where x = 0.5

Use your graph, to estimate, to one decimal place, the solutions of the equation

$2x^3 - 9x^2 + 3x + 7 = 0$

By drawing a suitable straight line on the grid, find an estimate for the range of values of x, to one decimal place, in the interval $0 < x \le 4$ for which

$4x - 18 + \dfrac{38}{x^2} < 0$

Show clear algebraic working.

B

Diagram NOT

accurately drawn

15 cm

F

A

E

10 cm

20 cm

12 cm

45°

D

C

Figure 4

Figure 4 shows solid ABCDE

The horizontal base CDE is a triangle.

The vertical face ABED is a trapezium.

The point F lies on BC such that BF : FC = 2 : 1

AC = 20 cm AD = 10 cm BE = 15 cm DE = 12 cm

∠BCE = 45°

90°

ADC

ADE

BED

BEC

Calculate the length, in cm to one decimal place, of AF

Show all your working.

2

2

2

Cosine rule: a

b

c

bc

A

[

2

cos

]

Question 10 continued

Question 10 continued

Question 10 continued

The function f has domain $-8 \le x \le 8$

Figure 5 shows the graph of $y = f(x)$, which consists of a line segment from $(-8, 3)$ to $(-4, 0)$ and a line segment from $(-4, 0)$ to $(8, 9)$

Write down the range of the function f

The function g is defined as

$g : x \mapsto \dfrac{3x - 1}{x + 1}$

The function f has domain $-8 \le x \le 8$

Figure 5 shows the graph of $y = f(x)$, which consists of a line segment from $(-8, 3)$ to $(-4, 0)$ and a line segment from $(-4, 0)$ to $(8, 9)$

State the value of x which must be excluded from any domain of the function g

The function f has domain $-8 \le x \le 8$

Figure 5 shows the graph of $y = f(x)$, which consists of a line segment from $(-8, 3)$ to $(-4, 0)$ and a line segment from $(-4, 0)$ to $(8, 9)$

Find gf(0)

The function f has domain $-8 \le x \le 8$

Figure 5 shows the graph of $y = f(x)$, which consists of a line segment from $(-8, 3)$ to $(-4, 0)$ and a line segment from $(-4, 0)$ to $(8, 9)$

Find the inverse function $g^{-1}$ in the form $g^{-1}(x) = \ldots$

Give your answer in its simplest form.

A bag contains $n$ sweets.

There are 9 orange sweets in the bag.

The rest of the sweets are purple.

Mina takes at random a sweet from the bag and eats it.

Stuart then takes at random a sweet from the bag and eats it.

The probability that Mina and Stuart both eat a sweet of the same colour is $\dfrac{46}{91}$

Find the probability that all 9 orange sweets remain in the bag.

Show clear algebraic working.