IGCSE Mathematics - International (0607) — May–June 2024, Paper 23

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

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Question 1 · 2 marks

Work out 1.1 − 0.2².

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Question 2 · 2 marks

Work out 3/4 − 1/6.

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Question 3 · 1 mark

A quadrilateral has rotational symmetry of order 2 and no lines of symmetry. Write down the mathematical name of this quadrilateral.

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Question 4 · 4 marks

Simplify fully. 3a − 6b − 2a + b

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Question 5 · 3 marks

One week a shop sells 120 jars of ketchup. The table shows the number of jars of each size sold: Size Small Medium Large Number sold 20 70 30 Show this information in a pie chart.

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Question 6 · 4 marks

p = 5 × 10⁻⁸, q = 6.8 × 10⁻⁷. Find pq, giving your answer in standard form.

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Question 7 · 2 marks

a, b and c are prime numbers. V = a²b⁴c³ and W = a⁵b³c. Find the lowest common multiple (LCM) of V and W in terms of a, b and c.

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Question 8 · 2 marks

Jasmine drives a distance of a km at 50 km/h, then b km at 60 km/h. She takes a total time of T hours. Find a formula for T in terms of a and b.

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Question 9 · 2 marks

In each Venn diagram, shade the given set: (left, sets A and B) A ∪ B' ; (right, sets P and Q) (P ∪ Q)'.

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Question 10 · 3 marks

The cumulative frequency curve shows the heights of 120 young trees (height in metres, 0 to 6). Find the median.

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Question 11 · 3 marks

Factorise completely. 48x² − 75y²

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Question 12 · 4 marks

y is inversely proportional to the square root of x. v is directly proportional to y². When x = 9, y = 2 and v = 12. Find v in terms of x. Give your answer in its simplest form.

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Question 13 · 3 marks

Find the value of 4 log 2 + 2 log 5 − log 4.

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Question 14 · 5 marks

The diagram shows 15 circles in an equilateral triangle; the circles touch each other and the triangle. The radius of each circle is 2.5 cm. The length of each side of the…

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