IGCSE Mathematics (0580) — October–November 2024, Paper 41

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

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Question 1 · 19 marks

Write 70 as a product of its prime factors.

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Question 2 · 9 marks

Triangle A and triangle B are drawn on a grid. On the grid, draw the image of triangle A after a reflection in the line x = 1.

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Question 3 · 8 marks

The table shows the waiting times for 120 patients at a medical centre. Waiting time (t minutes) 0 < t <= 10 10 < t <= 20 20 < t <= 40 40 < t <= 50 50 < t <= 80 --- --- --- ---…

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Question 4 · 17 marks

Enzo, Rashid and Blessy each swim as many lengths of a swimming pool as they can in 15 minutes: Enzo 11.25, Rashid 18.75, Blessy 20. Find the number of lengths Enzo swims as a…

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Question 5 · 9 marks

A box contains 3 blue pens and 5 red pens. Mia picks a pen from the box at random. Find the probability that she picks a red pen.

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Question 6 · 11 marks

The diagram shows a field ABCD (NOT TO SCALE). A straight path AC goes across the field. AD = 420 m, DC = 830 m, angle ADC = 106°, AB = 1150 m, angle ABC = 62°. Show that AC =…

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Question 7 · 12 marks

A company makes scientific calculators and graphic calculators. Each day they make x scientific calculators and y graphic calculators. These inequalities describe the number each…

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Question 8 · 19 marks

f(x) = 7 - 3x, g(x) = x^2 - 16. Find the values of x when g(x) = 20.

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Question 9 · 12 marks

ABCDEFGH is a solid cuboid (NOT TO SCALE). AB = 10 cm, BC = 8 cm and CG = 17 cm. Work out the volume of the cuboid.

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Question 10 · 14 marks

A rectangle (NOT TO SCALE) has width (x + 1) cm and length (2x + 3) cm. This rectangle has area 190 cm^2. By forming and solving an equation, show that x = 8.5.

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