IGCSE Mathematics - International (0607) — May–June 2024, Paper 41

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

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Question 1 · 12 marks

Solve the equation 3x − 2 = −14.

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Question 2 · 11 marks

Calculate an estimate of the mean height of the 100 plants.

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Question 3 · 11 marks

Translate triangle A with vector (2, −6). Label the image B.

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Question 4 · 15 marks

The price of a coat is $84. The price is reduced by 12%. Find the new price of the coat.

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Question 5 · 8 marks

A, B, C and D lie on a circle, centre O. AP is a tangent at A; OP perpendicular to AC; AD parallel to BC; angle ABC = 61° and angle PAD = 22°. Write down the mathematical name of…

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Question 6 · 10 marks

f(x) = 2 1 − 0.5x² . On the diagram, sketch the graph of y = f(x) for −3 ≤ x ≤ 3.

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Question 7 · 11 marks

Spinner A (fair, sides 1, 2, 2, 3, 4) and spinner B (fair, sides 1, 2, 3, 4, 4) are each spun once. Find the probability that the number on spinner A is 6.

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Question 8 · 13 marks

The diagram shows a shape ABDC formed from triangle ABC and a sector BCD, centre B. AB = 8 m, AC = 7 m, angle BAC = 73.4°. Show that BC = 9.0 m, correct to 1 decimal place.

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Question 9 · 10 marks

A solid cone has base radius 40 cm and slant height 60 cm. Find the volume of the cone.

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Question 10 · 8 marks

y varies inversely as the square root of (x + 1). y = 18 when x = 3. Find the value of y when x = 8.

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Question 11 · 11 marks

f(x) = 3x − 1. Find f(4).

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← May–June 2024 Paper 42 · May–June 2024 Paper 33 →

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