IGCSE Mathematics (0580) — May–June 2024, Paper 41

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

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Question 1 · 15 marks

The table shows the areas, in km^2, of the four largest rainforests: Amazon 5 500 000, Congo 2 000 000, Atlantic 1 315 000, Valdivian 250 000. Find the area of the Valdivian…

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Question 2 · 8 marks

The grid shows triangle T. On the grid, draw the image of triangle T after a reflection in the x-axis.

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Question 3 · 13 marks

C = (1/4)xy^2. Find C when x = 5 and y = 8.

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Question 4 · 18 marks

Jianyu records the time, in seconds, that some cars take to travel 195 m. The box and whisker plot shows this information (min 5, Q1 7.5, median, Q3, max around 14 on a time axis…

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Question 5 · 17 marks

P is the point (1, 7). Q is the point (5, -5). Find the column vector PQ.

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Question 6 · 17 marks

The diagram shows the positions of two lighthouses A and B, a boat C and a harbour H (NOT TO SCALE). C is due east of B. AB = 11 km, AH = 14 km, angle at H = 55°, angle at C =…

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Question 7 · 15 marks

The diagram shows a box in the shape of a cuboid (NOT TO SCALE) with dimensions 70 cm by 30 cm by 40 cm. The box is open at the top. Work out the surface area of the inside of the…

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Question 8 · 15 marks

On the axes, sketch the graph of y = x^2 + 7x - 18. On your sketch, write the values where the graph meets the x-axis and the y-axis.

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Question 9 · 12 marks

f(x) = 4x + 1, g(x) = 6 - 2x, h(x) = 3^(x - 2). Find f(3).

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