IGCSE Mathematics (0580) — May–June 2024, Paper 13

23 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

Write the number two million two thousand and two in figures.

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Question 2 · 1 mark

Put one pair of brackets into this calculation to make it correct. 5 + 4 x 3 + 9 = 53

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Question 3 · 2 marks

Simplify. 7x - 8y - x - y

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Question 4 · 3 marks

Write 164 703 correct to the nearest thousand.

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Question 5 · 2 marks

The diagram shows a shape. On the diagram, draw any lines of symmetry.

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Question 6 · 2 marks

Write these numbers in order, starting with the smallest. 0.45 42% 4/11 2/5

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Question 7 · 2 marks

The base of a cuboid measures 10 cm by 7 cm. The volume of the cuboid is 280 cm^3. Calculate the height of the cuboid.

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Question 8 · 1 mark

In a city, the probability that it will rain today is 0.15. Find the probability that it will not rain today in this city.

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Question 9 · 2 marks

One day the temperature in Tokyo is -5 °C and the temperature in Manila is 18 °C. Work out the difference between these two temperatures.

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Question 10 · 4 marks

These are the first four terms of a sequence. 3 10 17 24 Write down the next term.

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Question 11 · 2 marks

The diagram shows an isosceles triangle (NOT TO SCALE) with one angle of 36° and an unknown angle x° at the apex. Find the value of x.

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Question 12 · 3 marks

The diagram shows a cuboid with dimensions 6 cm by 2 cm by 3 cm (NOT TO SCALE). On the 1 cm^2 grid, complete a net of this cuboid. One face has been drawn for you.

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Question 13 · 2 marks

Factorise completely. 4x^2 y - 5xy^2

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Question 14 · 2 marks

The scale of a map is 1 : 40 000. On the map the distance between two villages is 37 cm. Calculate the actual distance between the two villages. Give your answer in kilometres.

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Question 15 · 2 marks

Without using a calculator, work out 3/7 - 1/14. You must show all your working and give your answer as a fraction in its simplest form.

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Question 16 · 2 marks

The price of a game increases from $48 to $56.40. Calculate the percentage increase in the price.

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Question 17 · 2 marks

The diagram shows a right-angled triangle ABC (NOT TO SCALE), right-angled at A. AC = 8 cm and angle ABC = 37° (at B). Calculate AB.

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Question 18 · 2 marks

The length, s metres, of a ship is 83 m, correct to the nearest metre. Complete this statement about the value of s: ......... <= s < .........

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Question 19 · 2 marks

Solve the simultaneous equations. 5t - 2w = 19 3t + 2w = 5

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Question 20 · 4 marks

The diagram shows the positions of three towns A, B and C (NOT TO SCALE). Angle ABC = 103°. The bearing of town B from town A is 048°. Town C is due east of town A. Find the…

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Question 21 · 4 marks

Universal set = {1, 4, 5, 8, 9, 12, 16, 64}. C = {cube numbers}, S = {square numbers}. Complete the Venn diagram (two sets C and S).

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Question 22 · 4 marks

Write 0.007 in standard form.

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Question 23 · 5 marks

The diagram shows a spherical tank with radius 0.5 m and a cylindrical jug with diameter 24 cm and height 32 cm (NOT TO SCALE). The tank is full of water. Calculate how many times…

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