IGCSE Mathematics - International (0607) — October–November 2023, Paper 41

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

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Question 1 · 11 marks

Find $2.40 as a percentage of $1.60.

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Question 2 · 11 marks

f(x) = 1/sin(x°) for 0 ≤ x ≤ 360. On the diagram, sketch the graph of y = f(x).

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Question 3 · 9 marks

Each of 200 students records their height, h cm. The results are shown on the cumulative frequency curve. Use the cumulative frequency curve to find the median.

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Question 4 · 15 marks

p = (3, −2) and q = (−5, 1) (column vectors). Work out p + 2q.

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Question 5 · 14 marks

f(x) = 2x − 5. The domain of f(x) is 0 ≤ x ≤ 10. Find the range of f(x).

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Question 6 · 9 marks

Jade and Kim share $160. Jade receives $8 more than Kim. Find the ratio Jade's money : Kim's money. Give your answer in its simplest form.

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Question 7 · 10 marks

Marcus runs for 1 hour at x km/h and then walks for 2 hours at (x − 5) km/h. He travels a total distance of 14 km. Find his running speed.

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Question 8 · 10 marks

The diagram shows the sector of a circle with radius 9 cm and sector angle 140°. Calculate the length of the arc PQ.

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Question 9 · 9 marks

On any day the probability that Samira cycles to school is 5/6. Find the number of days Samira is expected to cycle to school in a school term of 54 days.

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Question 10 · 10 marks

Simplify. (k/2p) × (t/3)

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Question 11 · 12 marks

Triangle ABC has AB = 10 cm, AC = 8 cm and angle BAC = 47°. Calculate the area of triangle ABC.

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