IGCSE Mathematics (0580) — May–June 2025, Paper 11

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

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Question 1 · 3 marks · Number

Write the number 10069 in words.

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Question 2 · 2 marks · Number - money and finance

A bag of sweets costs $0.34. Arun buys 10 bags of sweets. Work out how much change he receives from $5.

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Question 3 · 2 marks · Number

Two numbers have a sum of -2 and a product of -15. Work out the two numbers.

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Question 4 · 4 marks · Number - types of number

From the list of numbers 7, 27, 39, 49, 99, 112, write down an even number.

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Question 5 · 1 mark · Number

Write down the reciprocal of 5.

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Question 6 · 2 marks · Number - order of operations

Put one pair of brackets into the calculation to make it correct. 7 - 5 x 4 + 8 = 16

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Question 7 · 2 marks · Algebra - algebraic representation

A ticket costs $18. Write down an expression, in dollars, for the cost of t tickets.

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Question 8 · 2 marks · Number - fractions, decimals and percentages

Write 90% as a fraction in its simplest form.

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Question 9 · 5 marks · Algebra - sequences

These are the first four terms of a sequence: 33, 26, 19, 12. Write down the term-to-term rule for this sequence.

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Question 10 · 5 marks · Algebra - graphs in practical situations

Ky cycles from his office to a meeting and back again. The travel graph shows his time at the meeting and his journey back. How far is the meeting from his office?

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Question 11 · 1 mark · Mensuration - volume

Calculate the volume of a cube with side length 3cm.

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Question 12 · 2 marks · Algebra - linear equations

Solve. 5x + 8 = 3x - 2

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Question 13 · 2 marks · Number - directed numbers

Work out. -5 x -4

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Question 14 · 1 mark · Number - indices

3^p x 3^4 = 3^10 Find the value of p.

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Question 15 · 3 marks · Geometry - nets

The diagram shows a cuboid measuring 6cm by 4cm by 3cm (NOT TO SCALE). Complete a net of this cuboid on the 1cm^2 grid. One face has been drawn for you (a 6cm by 4cm rectangle).

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Question 16 · 5 marks · Algebra - manipulation

Simplify. 6a + 4b - a - 5b

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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 (42.8 + 17.4) / (1.97 x 5.79)

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Question 18 · 6 marks · Geometry - angles

The diagram shows two straight lines intersecting two parallel lines. Find the value of x. Give a geometrical reason for your answer.

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Question 19 · 5 marks · Probability - tree diagrams

A box contains 10 counters. The counters are either red or green. The ratio red counters : green counters = 1 : 4. Shareen picks a counter at random, notes its colour and puts it…

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Question 20 · 4 marks · Statistics - scatter diagrams

These are the results for two more days. Price per litre ($) 1.68 1.47 Number of litres sold 90 380 Plot this information on the scatter diagram.

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Question 21 · 2 marks · Geometry - circle theorems

Points A, B and C lie on the circle, centre O. The diagram shows the circle with AC as a diameter through the centre O, with B on the circle. Angle BAC (the angle at A between…

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Question 22 · 3 marks · Number - HCF and LCM

A = 2^3 x 3 B = 3^2 x 5 Find the highest common factor (HCF) of A and B.

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Question 23 · 7 marks · Transformations - rotation

On the grid, draw the image of triangle T after a rotation, 90 degrees clockwise, centre (0, 0).

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Question 24 · 3 marks · Number - fractions

Work out 1 1/3 + 1 3/4. Give your answer as a mixed number in its simplest form.

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Question 25 · 2 marks · Number - standard form

Write 32500 in standard form.

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Question 26 · 4 marks · Algebra - simultaneous equations

Solve the simultaneous equations. 2x + 5y = 5 3x + 4y = 11

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← May–June 2025 Paper 12

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