IGCSE Mathematics - International (0607) — October–November 2023, Paper 63

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

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Question 1 · 10 marks

These are the first four terms of a geometric sequence: 4, 16, 64, 256. Work out the next term.

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Question 2 · 2 marks

The first two terms of a geometric sequence are 16 and 12. Show that the 3rd term is 9.

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Question 3 · 8 marks

A geometric sequence has 2nd term = 12.5 and 3rd term = 62.5. Work out the 1st term.

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Question 4 · 10 marks

The first three terms of a geometric sequence are x, 2x + 3, 11x − 6. Give a reason why (2x + 3)/x = (11x − 6)/(2x + 3).

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Question 5 · 10 marks

A container is a cuboid 20 cm long, 20 cm wide and 25 cm high. Calculate the volume of the container.

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Question 6 · 17 marks

A cone-shaped container has circular top radius 16 cm and height 24 cm. Calculate the volume of the container. Give your answer correct to 3 significant figures.

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Question 7 · 3 marks

The cuboid (model t = 8h) and the cone (model t = πh³/135) are both empty and filled at the same time. Find the height of water when it is the same in both containers.

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October–November 2023 Paper 62 →

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