IGCSE Mathematics (0980) — 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 · 9 marks

On a grid, shapes A, B and C are drawn. Describe fully the single transformation that maps shape A onto shape B.

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Question 2 · 12 marks

s = (1/2) a t^2. Find the value of s when a = 9.8 and t = 20.

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Question 3 · 14 marks

The average distance of Mars from the Sun is 2.279 × 10^8 km. Write this distance as an ordinary number.

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Question 4 · 11 marks

Spinner A is five-sided numbered 1,2,3,4,5. Spinner B is nine-sided numbered 3,3,3,4,4,4,4,5,5. Lucia records whether each lands on a prime number. Complete the tree diagram…

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Question 5 · 14 marks

ACD is a right-angled triangle. B is on AC and BC = 54.5 m. AD = 83.2 m and angle ABD = 38°. Calculate angle ACD.

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Question 6 · 11 marks

Complete the table for three sequences (1st–5th terms and nth term). Sequence 1st 2nd 3rd 4th 5th nth term --- --- --- --- --- --- --- A −7 −3 1 5 B 7 13 23 37 C 2/27 3/81 4/243…

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Question 7 · 7 marks

The frequency table shows the time of each of 42 athletes in a race. 216 < t ≤ 219: 9; 219 < t ≤ 224: 14; 224 < t ≤ 234: 14; 234 < t ≤ 244: 2; 244 < t ≤ 264: 3. Calculate an…

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Question 8 · 14 marks

A solid is formed by joining two hemispheres and a cylinder. The large hemisphere has radius 5.4 cm; the small hemisphere and cylinder both have radius 3.6 cm; the cylinder height…

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Question 9 · 15 marks

f(x) = 3(x + 1)(x + 5)? — given f(x) = (3x + 1)(x + 5)(x − 4) ... [functions: f(x) = (3x + 1)(x + 5)(x − 4), g(x) = 2x − 3, h(x) = 4^x]. Find f(0).

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Question 10 · 13 marks

ABC is a triangle. B is the point (−11, 0), A is the point (4, 14) and vector CA = (8, −11) [column vector]. Find the coordinates of C.

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Question 11 · 10 marks

Differentiate x³ − 4x² − 3x.

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October–November 2023 Paper 31 →

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