Edexcel IGCSE Maths A Paper 1H Higher June 2025 question paper 4MA1/1H

The table gives information about the distances 100 adults travel to work.

Distance (dkm)	Frequency
0 d 5	26
5 d 10	40
10 d 15	16
15 d 20	10
20 d 25	8

Write down the modal class.

Work out an estimate for the mean distance.

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.

Work out the percentage profit Anna makes. Show your working clearly.

The height of each cup is 9 cm, correct to the nearest cm

Write down the lower bound of the height.

The weight of each cup is 120 g, correct to the nearest 10 g

Write down the upper bound of the weight.

AB and BC are two sides of a regular polygon with n sides.

Work out the value of n Show your working clearly.

x⁵ x⁷ = x^m

Find the value of m

y⁸ ÷ y³ = yⁿ

Find the value of n

Simplify fully (5a⁴r²)³

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.

6

Show clear algebraic working.

Factorise y² – 11y + 30

Hence solve y² – 11y + 30 = 0

Here is a solid cylinder.

The radius of the cylinder is 8 cm The height of the cylinder is h cm

The volume of the cylinder is 3892 cm³

Work out the value of h Give your answer correct to one decimal place.

Write 520 million in standard form.

Write 8.79 × 10^–5 as an ordinary number.

Work out (5 × 10⁴²) × (7 × 10^–180) Give your answer in standard form.

ABCD is a trapezium with one line of symmetry.

angle ADC = 60° AD = 12 cm DC = 47 cm

Work out the area of the trapezium. Give your answer correct to 3 significant figures. Show your working clearly.

Complete the table of values for y = x³ + 2x + 3

On the grid, draw the graph of y = x³ + 2x + 3 for –3 x ≤ 3

OABC is a sector of a circle, centre O

angle AOC = 140° OA = OC = 16 cm

Calculate the area of the sector. Give your answer correct to 3 significant figures.

12Express as a single fraction in its simplest form.

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

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

Complete the probability tree diagram.

badminton tennis

Work out the probability that Ricardo loses both games.

Find the value of k

Show that can be written in the form c

where c and d are integers. Show each stage of your working clearly.

g (x) = 4x²

Find f (9)

Solve fg (x) 0 Show clear algebraic working.

The histogram shows information about the times, in minutes, that some people were in

Work out an estimate for the proportion of these people who were in the shop for more than 40 minutes.

y is inversely proportional to x³

y = 4 when x = 3

Work out the value of x when y = 864

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

y = f (x) + 3

y = f (2x)

Work out the length of BC Give your answer correct to 3 significant figures.

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.

Solve the simultaneous equations

y = x + 2

Show clear algebraic working.

OAB is a triangle. P is the midpoint of OA Q is a point on OB

ABR and PQR are straight lines. OA→ = 12a OB→ = 8b

Express AB→ in terms of a and b

AB:BR = 1: 2 OQ→ = nb

Use a vector method to find the value of n

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.

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.