IGCSE Mathematics - International (0607) — May–June 2023, Paper 23

16 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

From this list, write down all the numbers that are prime numbers. 29 31 41 49 51 59

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Question 2 · 1 mark

A diagram shows angles 37°, 64° and x° meeting at a point on a straight line. (NOT TO SCALE.) Find the value of x.

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Question 3 · 2 marks

Work out 0.04 × 0.06.

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Question 4 · 2 marks

A bag contains 3 blue balls and 7 green balls. One ball is chosen at random. Find the probability the ball chosen is white.

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Question 5 · 1 mark

Change 12 millimetres into metres.

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Question 6 · 2 marks

Expand. 3x(2x⁴ − 5)

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Question 7 · 3 marks

Write 0.003 08 in standard form.

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Question 8 · 3 marks

Find the next term and the nth term for this sequence. 1, 7, 17, 31, 49, …

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Question 9 · 3 marks

The total cost of 5 pens and 7 pencils is $6.75. Each pencil costs $0.45. Find the cost of one pen.

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Question 10 · 2 marks

Write 48 as a product of its prime factors.

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Question 11 · 3 marks

The range of ten numbers is 30. The range of eight other numbers is 13. Find the smallest possible value of the range of all eighteen numbers.

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Question 12 · 3 marks

Factorise fully. (3y)² − 16

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Question 13 · 2 marks

Shade the given region on the Venn diagram (universal set U with two overlapping sets A and B). A′ ∩ B′

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Question 14 · 3 marks

An archer shoots three arrows at a target. The probability that she hits the target with each arrow is 7/10. Find the probability she hits the target exactly twice.

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Question 15 · 3 marks

Rearrange the equation to make x the subject. A + 4y = A(2 − 3x)

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Question 16 · 5 marks

The point A has coordinates (2, 3) and the point B has coordinates (6, 5). The point C lies on the line AB. The point D has coordinates (2, 5.5). CD is perpendicular to AB. Find…

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