IGCSE Mathematics (0580) — May–June 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 · 14 marks · Number

Write the number forty thousand and thirty-three in figures.

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Question 2 · 11 marks · Geometry

Complete this statement: The mathematical name of any polygon with 4 sides is a ...

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Question 3 · 8 marks · Statistics

These are the test scores of 16 students: 15, 26, 9, 45, 36, 20, 41, 39, 40, 23, 32, 18, 41, 34, 37, 31. Complete the stem-and-leaf diagram (Key: 1 5 represents 15).

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Question 4 · 9 marks · Geometry

The diagram shows the net of a solid on a 1 cm² grid with labelled points A..N. When the net is folded to make the solid, point C joins with point A. Write down which other point…

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Question 5 · 12 marks · Ratio

Antonio buys a restaurant for $240 000. This is 5/8 of the amount he has available to spend. Show that he has $144 000 left after buying the restaurant.

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Question 6 · 14 marks · Graphs

Complete the table of values for y = 5 + 3x − x² for x = −2, −1, 0, 1, 2, 3, 4, 5.

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Question 7 · 14 marks · Geometry

The diagram shows a circle, centre O, with B, D and E on the circumference. AOEF is a straight line and AC touches the circle at B. Write down the mathematical name for line BOD.

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Question 8 · 9 marks · Graphs

The travel graph shows Diego's journey by bicycle from his home to the swimming pool (6 km in 40 min, 10 00 to 10 40). Calculate Diego's speed for his journey from his home to the…

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Question 9 · 6 marks · Probability

Maria spins a fair 7-sided spinner numbered 1 to 7. Explain why the probability that the spinner lands on a prime number is 4/7.

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Question 10 · 7 marks · Mensuration

The diagram shows a right-angled triangle ABC and a semicircle. The radius of the semicircle is 4.5 cm. AC = 8.9 cm and BC = 13.2 cm. Calculate the shaded area. Give the units of…

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