IGCSE Mathematics - International (0607) — October–November 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 · 9 marks

The line 2x + 3y = 12 crosses the x-axis at P and the y-axis at Q. Find the coordinates of P and the coordinates of Q.

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Question 2 · 9 marks

f(x) = 4/(x + 2) − x On the diagram, sketch the graph of y = f(x) for values of x between −5 and 3.

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Question 3 · 9 marks

Write 1 1/25 as a percentage.

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Question 4 · 11 marks

The diagram shows a solid metal shape made from a cylinder and two hemispheres. The radius of the cylinder and of the hemispheres is 3 cm. The length of the cylinder is 15 cm.…

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Question 5 · 12 marks

v² = u² − 2as Find the value of v when u = 7, a = 1.5 and s = 10.

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Question 6 · 8 marks

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

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Question 7 · 15 marks

−3 < x ⩽ 1 Show this inequality on the number line.

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Question 8 · 15 marks

The diagram shows four points, A, B, C and D, on horizontal ground. AB = 7 m, DB = 12 m (with a right angle at B), angle DBC = 50° and BC = 16 m. Calculate AD.

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Question 9 · 11 marks

f(x) = x³ + 1, g(x) = tan x, h(x) = 3ˣ + 1 Find f(−2).

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Question 10 · 12 marks

Zola measures the height of each of 100 plants in her garden. The table shows her results. Height (h cm) 0 < h ⩽ 10 10 < h ⩽ 15 15 < h ⩽ 20 20 < h ⩽ 30 30 < h ⩽ 60 --- --- --- ---…

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Question 11 · 9 marks

a is a positive integer. Rationalise the denominator. 3 / (√a − 1)

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