IGCSE Mathematics - International (0607) — May–June 2023, 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 · 11 marks

For this sequence, find the next term and an expression for the nth term. 17 14 11 8 5 …

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Question 2 · 8 marks

The population of a species of bird is estimated to be decreasing by 4% per year. At the end of 2020 the population was 4.32 million. Find the population at the end of 2019.

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Question 3 · 10 marks

Reflect triangle A in the line y = −1.

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Question 4 · 10 marks

Draw a cumulative frequency curve for these results.

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Question 5 · 14 marks

The diagram shows a regular pentagon with sides of 10 cm and centre O. Find angle AOB.

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Question 6 · 14 marks

f(x) = (x² + 3x)/((x − 2)(x + 1)) On the diagram sketch the graph of y = f(x) for values of x between −6 and 6.

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Question 7 · 15 marks

A is the point (−8, 2) and C is the point (8, 10). Find the equation of the line AC.

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Question 8 · 8 marks

A ship sails from port A at a constant speed of 18 km/h on a bearing of 040°. A motorboat sails in a straight line at a constant speed from port B to intercept the ship. Port B is…

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Question 9 · 9 marks

Asa picks a card at random. Write down the probability that Asa's card shows the letter T.

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Question 10 · 12 marks

Simplify. 3x − 5y + 4x − 6y

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Question 11 · 9 marks

Find f(−2).

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