IGCSE Mathematics - International (0607) — May–June 2024, Paper 42

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

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Question 1 · 10 marks

The volume of a triangular prism is 476 cm³. The base of the triangle is 8 cm and the perpendicular height is 7 cm. Calculate the length of the prism.

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Question 2 · 8 marks

Yuri and Zoe share some money in the ratio 8 : 7. Zoe receives $210. Show that Yuri receives $240.

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Question 3 · 15 marks

Vic throws a stone from O; the path is y = x − x²/10 (y = height, x = horizontal distance, in metres). Find the height of the stone when x = 7.

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Question 4 · 13 marks

Erin rolls a biased die. The table shows the results: Score 1 2 3 4 5 6 Frequency 6 6 3 6 x 4 The mean score is 3.75. Find the value of x.

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Question 5 · 9 marks

Calculate the area of an equilateral triangle with side length 12 cm.

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Question 6 · 8 marks

Xavier started a new job in 2000. His annual pay increases each year by 2.5% of his pay in the previous year. Calculate the number of complete years it took for his annual pay to…

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Question 7 · 9 marks

Solve 63 = 8(3 − 2a).

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Question 8 · 11 marks

Describe fully the single transformation that maps triangle T onto triangle A.

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Question 9 · 17 marks

f(x) = 3 + 2x. Find f(−5).

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Question 10 · 10 marks

Tina picks one ball at random, notes the colour and replaces it. Find the probability that Tina picks a red ball.

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Question 11 · 10 marks

Simplify. (9x² − 4y²)/(9x² − 6xy)

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