IGCSE Mathematics (0580) — October–November 2023, Paper 31

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

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Question 1 · 15 marks · Number — place value

Write the number six and a half million in figures.

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Question 2 · 10 marks · Geometry — circle properties

The diagram shows a circle. The diameter of this circle is 168 mm. Write down the radius of this circle.

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Question 3 · 11 marks · Statistics — bar charts

The bar chart shows the country in which each of 80 students live (Australia, Brazil, China, India, USA). How many of these students live in Brazil?

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Question 4 · 9 marks · Geometry — nets

The diagram shows a cuboid 5 cm by 3 cm by 2 cm. NOT TO SCALE. On the 1 cm² grid, complete the net of the cuboid. One face has been drawn for you.

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Question 5 · 8 marks · Number — travel graphs

A railway line has three stations: Town, Port and Cove. Train A leaves Town for Cove and train B leaves Cove for Town. Both trains stop at Port. The travel graph shows distance…

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Question 6 · 7 marks · Transformations — translation

Triangles A, B and C are shown on the grid. Describe fully the single transformation that maps triangle A onto triangle B.

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Question 7 · 13 marks · Algebra — simplifying

Simplify. 5a + 3b + 2a − 4b

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Question 8 · 11 marks · Coordinate geometry — equation of a line

Line L is drawn on the grid. Find the equation of line L in the form y = mx + c.

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Question 9 · 11 marks · Number — fractions, money

Pure gold costs $42 per gram. The fraction of pure gold in an object is measured in carats. One carat means 1/24 of the mass of an object is pure gold. Henry buys a 9-carat gold…

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Question 10 · 9 marks · Geometry — similar triangles

Triangle PQR is mathematically similar to triangle UVW. In PQR: PR = 21.4 cm, PQ = 9.6 cm, QR = 12.8 cm. In UVW: UW = 14.4 cm, with VW corresponding to QR. NOT TO SCALE. Calculate…

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