IGCSE Mathematics - International (0607) — October–November 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 · 1 mark

Work out −45 ÷ −15.

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Question 2 · 1 mark

Write 4049 correct to 2 significant figures.

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Question 3 · 2 marks

Solve 7x − 5 = 37.

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Question 4 · 1 mark

Find 2% of $400.

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Question 5 · 2 marks

Find the mode.

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Question 6 · 5 marks

Work out 3/4 − 1/5.

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Question 7 · 1 mark

Write down an irrational number between 3 and 4.

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Question 8 · 1 mark

Work out the highest common factor (HCF) of 60 and 42.

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Question 9 · 2 marks

Expand 3p²(4 − 3p).

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Question 10 · 5 marks

P is the point (−5, 3) and Q is the point (2, −1). Find the coordinates of the mid-point of PQ.

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Question 11 · 4 marks

On the Venn diagram (universal set U with two overlapping sets A and B), shade (A ∪ B)′.

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Question 12 · 3 marks

Solve x² − 2x − 6 = 0. Give your answer in the form a ± √b where a and b are integers.

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Question 13 · 2 marks

Find the magnitude of the vector (−6, 8)ᵀ (column vector with top entry −6 and bottom entry 8).

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Question 14 · 3 marks

Solve (x + 1)/(x − 1) − 1/3 = 0.

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Question 15 · 3 marks

The graph shows f(x) = a cos(bx)°. Find the value of a and the value of b.

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Question 16 · 4 marks

loga 64 = 2 Write down the value of a.

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← October–November 2023 Paper 23 · October–November 2023 Paper 21 →

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