IGCSE Mathematics - International (0607) — May–June 2023, Paper 22

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

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Question 1 · 3 marks

Write down a square number between 101 and 150.

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Question 2 · 2 marks

Work out −7 ÷ −2.

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Question 3 · 2 marks

Solve x + 9 6.

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Question 4 · 2 marks

Find the modal class.

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Question 5 · 2 marks

The clock shows the time 09 30. (NOT TO SCALE.) Work out the obtuse angle between the hands of the clock.

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Question 6 · 1 mark

Find the value of 64^(1/3).

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Question 7 · 3 marks

Lee cycles for 60 km at an average speed of 30 km/h. He then returns along the same route at an average speed of 20 km/h. Find Lee's average speed for the whole journey.

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Question 8 · 3 marks

Find the value of p.

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Question 9 · 2 marks

On the Venn diagrams, shade the given subsets. Diagram 1 (sets A and B): shade A ∪ B. Diagram 2 (sets P and Q): shade (P′ ∩ Q) ∪ (P ∩ Q′).

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Question 10 · 1 mark

There is correlation between quantity p and quantity q. The regression equation is p = 80 − 5.2q. What type of correlation is there between p and q?

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Question 11 · 3 marks

Solve the simultaneous equations. (1/2)x − (1/3)y = 7 3x + y = 6

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Question 12 · 3 marks

A, B, C and D are points on the circle. EF is a tangent to the circle at A. Angle DBC = 35° and angle ACD = 22°. Find angle ABD.

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Question 13 · 3 marks

Rationalise the denominator and simplify. 2 / (3 − √5)

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Question 14 · 3 marks

y varies inversely as the square of (x − 3). When x = 6, y = 20. Find the value of y when x = 9.

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Question 15 · 4 marks

Write down the value of log₁₀(0.01).

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Question 16 · 3 marks

ABC is a triangle. DE is parallel to BC. Show that triangle ADE is similar to triangle ABC.

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← May–June 2023 Paper 23 · May–June 2023 Paper 21 →

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