IGCSE Mathematics (0580) — May–June 2025, Paper 12

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

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Question 1 · 1 mark · Number

Write the number sixteen thousand and sixty-two in figures.

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Question 2 · 2 marks · Number - fractions, decimals and percentages

Write three-quarters as a decimal.

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Question 3 · 2 marks · Number - powers and roots

Write down the value of sqrt(36).

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Question 4 · 2 marks · Geometry - measurement

The diagram shows a line AB and a point P. The point P lies on the line AB, nearer to B than to A. (Diagram: a straight line sloping gently downwards from A on the upper left to B…

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Question 5 · 1 mark · Number - units and measures

Complete this statement. 10 weeks is ............... days.

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Question 6 · 1 mark · Number - fractions

The diagram shows a rectangle divided into a grid of small squares (5 columns by 7 rows, giving 35 small squares of equal size). Shade 2/5 of the rectangle.

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Question 7 · 2 marks · Number

Find the value of the reciprocal of 1/3.

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Question 8 · 2 marks · Number - order of operations

Put one pair of brackets into the calculation to make it correct. -12 + 4 / 2 - 3 = -16

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Question 9 · 2 marks · Number - ordering fractions

Write these fractions in order, starting with the smallest. 5/8 11/12 2/3 3/4 13/24 ............... < ............... < ............... < ............... < ...............…

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Question 10 · 5 marks · Geometry - nets and solids

A cuboid has length 5 cm, width 2 cm and height 3 cm. Draw a net of the cuboid on the 1 cm^2 grid.

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Question 11 · 5 marks · Statistics - averages

For these six numbers (0, 2, 2, 3, 4, 7) write down the mode.

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Question 12 · 2 marks · Number - calculations

Tim has a method for multiplying a number by 99. He shows his method for 53 x 99. 53 x 99 = 53 x 100 - 53 = 5300 - 53 = 5247 Work out 85 x 99 using Tim's method.

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Question 13 · 6 marks · Geometry - properties of shapes

A quadrilateral has the geometrical properties - 4 equal length sides - 2 lines of symmetry - rotational symmetry of order 2. Write down the mathematical name of this…

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Question 14 · 11 marks · Algebra - graphs of functions

Complete the table of values for y = (x + 3)(x - 2). x -4 -3 -2 -1 0 1 2 3 --- ---- ---- ---- ---- --- --- --- --- y 6 -4 -4

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Question 15 · 2 marks · Algebra - equations

Beth thinks of a positive number, n. She squares n then subtracts 55. The answer is 9. Work out the value of n.

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Question 16 · 11 marks · Mensuration - area

The diagram shows a point P and three triangles, A, B and C, on a 1 cm^2 grid. Find the area of triangle B.

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Question 17 · 2 marks · Number - estimation

By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of (17.8 + 10.3) / 5.5

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Question 18 · 2 marks · Number - factors and multiples

Find the highest common factor (HCF) of 66 and 110.

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Question 19 · 3 marks · Number - prime numbers

P is a prime number. Write down the value of P that satisfies the inequality 13 < P < 19.

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Question 20 · 1 mark · Sets - set notation

The Venn diagram shows the universal set E (script E) and two overlapping sets J and K, drawn as two intersecting circles inside a rectangle. The shaded region is the whole of…

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Question 21 · 3 marks · Number - fractions

Work out 2 7/9 x 1 1/5. Give your answer as a mixed number in its simplest form.

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Question 22 · 2 marks · Number - bounds

The mass, m kg, of a stone is 3.2 kg, correct to the nearest 100 g. Complete this statement about the value of m. ............... <= m < ...............

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Question 23 · 4 marks · Algebra - factorisation

Factorise. 9x - 6xy

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Question 24 · 3 marks · Algebra - simultaneous equations

Solve the simultaneous equations. 5x + 2y = 3 3x + 4y = 27

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Question 25 · 3 marks · Mensuration - circles

The diagram shows a shape made from two different semicircles, with the same centre. (NOT TO SCALE.) A small semicircle of radius 4 cm sits above a horizontal diameter line, and a…

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