IGCSE Mathematics - International (0607) — May–June 2024, Paper 43

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

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Question 1 · 9 marks

The table shows letters delivered to 120 houses (0→26, 1→20, 2→23, 3→25, 4→14, 5→8, 6→4). Find the mode.

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Question 2 · 12 marks

Ameera and Bertrand share money in the ratio 4 : 5. Bertrand gets $3000. Calculate Ameera's share.

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Question 3 · 9 marks

Noora throws a fair 6-sided die numbered 1 to 6. Write down the probability that the die shows a number less than 5.

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Question 4 · 10 marks

Line L has equation 3y + 2x = 8. Find the gradient and the y-intercept of line L.

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Question 5 · 10 marks

f(x) = 5 + 2x − 4x² − x³ for −5 ≤ x ≤ 2. On the diagram, sketch the graph of y = f(x).

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Question 6 · 13 marks

Reflect triangle A in the line y = x.

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Question 7 · 11 marks

The diagram shows a logo made from an isosceles triangle (CA = CB = 12 cm) and two semicircles. The perimeter of the logo is 37 cm. Show that the diameter of each semicircle is…

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Question 8 · 9 marks

A square-based pyramid has base side 0.7 cm and sloping edge 0.8 cm. Show that the perpendicular height of the pyramid is 0.628 cm, correct to 3 significant figures.

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Question 9 · 12 marks

Solve. 2x + 3 = 1 − 5x

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Question 10 · 14 marks

f(x) = 5 − ½x. Find f(3).

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Question 11 · 11 marks

A, B, C are three ports. AB = 72 km, BC = 85 km, AC = 102 km. The bearing of B from A is 040°. Show that angle ABC = 80.6°, correct to 1 decimal place.

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