IGCSE Mathematics - International (0607) — October–November 2023, Paper 23

15 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

Write 0.030 149 7 correct to 3 decimal places.

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Question 2 · 1 mark

Write down the number of lines of symmetry of a kite.

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Question 3 · 2 marks

Work out 5/6 − 5/8.

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Question 4 · 3 marks

Solve 11 + 2x 5.

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Question 5 · 3 marks

Complete the table (relative frequency row).

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Question 6 · 3 marks

The angles of a triangle are in the ratio 2 : 3 : 7. Find each angle.

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Question 7 · 2 marks

p = 5 × 10⁷ Work out p³. Give your answer in standard form.

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Question 8 · 3 marks

For this sequence 1 6 11 16 21 … find the next term.

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Question 9 · 3 marks

The two bottles are mathematically similar. (NOT TO SCALE.) The height of the large bottle is 30 cm. The height of the small bottle is 24 cm. The volume of the large bottle is 250…

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Question 10 · 3 marks

A, B, C and D are points on the circle centre O. PDQ is a tangent to the circle at D. Angle BAD = 51° and angle PDA = 64°. Find angle BCD.

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Question 11 · 2 marks

Expand and simplify. (4 + 2√3)(5 − √3)

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Question 12 · 2 marks

y is inversely proportional to x². When x = 2, y = 10. Find y in terms of x.

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Question 13 · 4 marks

A sector of a circle has radius 6 cm and angle 30°. The shaded region is the segment cut off by the chord. (NOT TO SCALE.) The area of the shaded segment is (aπ + b) cm². Find the…

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Question 14 · 4 marks

Solve 2 log x − 3 log 2 + log 5 = 3.

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Question 15 · 3 marks

Write as a single fraction in its simplest form. 3/(x − 1) − 2/(2x + 5)

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← October–November 2023 Paper 31 · October–November 2023 Paper 22 →

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