IGCSE Mathematics - International (0607) — May–June 2025, Paper 32

17 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 - the four operations

Jamal buys 5 packets of lentils. He pays with $10. He receives $2.75 change. Work out the cost of one packet of lentils.

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Question 2 · 2 marks · Number - the four operations and approximation

Work out 7.3 / (1.2 + 3.5). Give your answer correct to 4 decimal places.

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Question 3 · 3 marks · Number - the four operations

A factory makes 578 880 cookies every 24 hours. Show that 402 cookies are made every minute.

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Question 4 · 2 marks · Functions - mapping diagrams

f(x) = 5x - 7 Complete the mapping diagram. The mapping diagram has two ovals, the left labelled x and the right labelled f(x). The input 2 maps to a blank output box; a blank…

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Question 5 · 2 marks · Number - equivalent fractions

These are 6 number cards: 2, 3, 4, 9, 16, 20. Use 4 of these cards to complete the equivalent fractions. [ ]/[ ] = [ ]/12 = 12/[ ] (The first fraction has both numerator and…

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Question 6 · 2 marks · Algebra - linear equations

Solve. 7x - 13.2 = 2x + 0.8

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Question 7 · 3 marks · Mensuration - area on a grid

A shape is drawn on a 1 cm^2 grid. The shape is a hexagon-like figure drawn on the grid: it has a flat top with two square notches cut out of the top edge, vertical sides, and the…

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Question 8 · 4 marks · Algebra - substitution into formulae

A = (1/2)(x + 2y) Find the value of A when x = 7.23 and y = 2.16.

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Question 9 · 2 marks · Number - units and conversion

Pirupak walks 220 metres in 2.25 minutes. Show that 2.25 minutes = 135 seconds.

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Question 10 · 2 marks · Number - percentages

The cost of a laptop is $3200. In a sale, the cost of this laptop is reduced to $2816. Work out the percentage reduction.

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Question 11 · 3 marks · Geometry - polygons

The diagram shows a regular 5-sided polygon (NOT TO SCALE). Write down the mathematical name for this polygon.

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Question 12 · 5 marks · Coordinate geometry - midpoint

The diagram shows a straight line joining point A (-4, -1) and point B (4, 3), drawn on a grid with x-axis from -5 to 5 and y-axis from -3 to 6. Find the coordinates of the…

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Question 13 · 8 marks · Geometry - properties of equilateral triangles

The diagram shows a shape made from a square of side 8 cm and four equilateral triangles (NOT TO SCALE). The square is HBDF (with H top-left, B top-right, D bottom-right, F…

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Question 14 · 7 marks · Statistics - scatter diagrams

8 people train for a charity run. The number of hours that they train and the distance they run is shown in the table. Number of hours 2 3 5 5 6 7 8 10 Distance (km) 3 7 7 9 12 13…

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Question 15 · 3 marks · Number - compound interest

Shaila invests $2000 at a rate of 1.3% per year compound interest. Calculate the amount of interest she receives at the end of 3 years.

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Question 16 · 3 marks · Number - currency conversion

Rohan goes for a holiday to Europe. He changes $2000 into euros (EUR) at an exchange rate of $1 = EUR 0.9759. Show that Rohan receives EUR 1951.80.

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Question 17 · 7 marks · Graphs - sketching rational functions

A blank coordinate grid is given, with x-axis and y-axis both from -10 to 10. On the diagram, sketch the graph of y = (3x + 6) / (x - 2) for values of x between -10 and 10.

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← May–June 2025 Paper 33 · May–June 2025 Paper 31 →

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