IGCSE Mathematics - International (0607) — May–June 2025, Paper 42

16 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 2 marks · Number - approximation and rounding

Write the number 13205.17268 correct to 3 significant figures.

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Question 2 · 4 marks · Algebra - linear equations

Solve. 4x - 3 = 15

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Question 3 · 1 mark · Number - calculator use and surds

Work out. (1.7)^2 - sqrt(8.5)

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Question 4 · 1 mark · Number - fractions

Work out. 7/12 - 1/3

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Question 5 · 1 mark · Number - currency conversion

The exchange rate between pounds (£) and Chinese yuan (¥) is £1 = ¥8.3. Change £549 to Chinese yuan.

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Question 6 · 3 marks · Algebra - substitution into formulae

A = (1/2)(x + y)h Find the value of A when x = 7, y = 12.5 and h = 6.

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Question 7 · 3 marks · Mensuration - volume of cuboid and cylinder

The diagram shows a wooden cuboid (not to scale) with a cylinder removed. The cuboid has length 22 cm, width x cm and height x cm. The cylinder has length 22 cm and diameter 5 cm,…

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Question 8 · 3 marks · Number - speed, distance and time

Xiong flies by plane from Manchester to Hong Kong. The distance from Manchester to Hong Kong is 9000 km. The flight takes 12.5 hours. Calculate the average speed of the plane.

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Question 9 · 6 marks · Transformations - translation

The diagram shows triangle A with vertices (2, 8), (2, 5) and (4, 5), and triangle B with vertices (-6, 8), (-8, 5) and (-6, 5), drawn on a grid with axes from -9 to 9. Translate…

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Question 10 · 7 marks · Statistics - mean

The table shows the marks of each of 10 students in a physics exam (x) and in a chemistry exam (y). The physics marks are 9, 21, 33, 41, 55, 68, 75, 83, 89, 96. Find the mean…

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Question 11 · 11 marks · Functions and graphs - sketching rational functions

f(x) = (4x - 3) / (2x + 1) Sketch the graph of y = f(x) for values of x between -3 and 3. (Axes are provided with x from -3 to 3 and y from -10 to 10.)

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Question 12 · 7 marks · Number - reverse percentages

Paula bought a house on 1 January 2023. On 1 January 2024 the value of the house increased by 10%. On 1 January 2025 the value of the house increased by 6% of its value on 1…

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Question 13 · 3 marks · Functions and graphs - solving equations graphically

Use a graphical method to solve 5 × 0.8^x = 2x + 7. Give your answer correct to 2 decimal places.

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Question 14 · 6 marks · Algebra - variation (inverse)

y varies inversely as the square root of (x - 1). y = 1 when x = 5. Find y in terms of x.

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Question 15 · 11 marks · Trigonometry - area of a triangle

The area of triangle ABC is 74.4 cm^2. AB = 12.4 cm and angle ABC = 30°. Show that BC = 24 cm.

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Question 16 · 6 marks · Mensuration - properties of a rhombus and Pythagoras

In this question, all lengths are in centimetres. The diagram shows a quadrilateral ABCD. ABCE is a rhombus and CDE is a right-angled triangle (right angle at D). AC = (2…

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← May–June 2025 Paper 43 · May–June 2025 Paper 41 →

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