IGCSE Mathematics (0980) — May–June 2023, Paper 12

23 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 all the factors of 18.

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Question 2 · 2 marks

A line AB is drawn on the diagram (a diagonal line going from lower-left point A to upper-right point B). Draw a line perpendicular to the line AB.

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Question 3 · 2 marks

A 4×4 grid of squares is shown with some squares already shaded grey forming a pattern. Shade two more squares so that the diagram has rotational symmetry of order 4.

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Question 4 · 3 marks

Kai and Ava each have a piece of wood 57 cm long. Kai cuts his piece into 4 equal length parts. Find the length of one part.

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Question 5 · 2 marks

In the diagram, ABC is a triangle and ACD is a straight line. Angle B = 59°, angle A = 73°, angle ACB = x°, and angle BCD = y°. Find the value of x and the value of y.

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Question 6 · 1 mark

Find the temperature that is 8°C colder than −5°C.

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Question 7 · 2 marks

There are two prime numbers in this list. 27 47 57 61 75 93 Work out the sum of these two prime numbers.

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Question 8 · 3 marks

On ten days, Stefan records the number of minutes he has to wait for a train. 1 3 12 5 4 23 5 24 11 8 Complete the stem-and-leaf diagram to show this information. 0 1 3 1 2 Key: 0…

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Question 9 · 1 mark

The scale drawing shows the positions of town A and town B. A north arrow points upward from town A. Town B is to the lower-right of town A. Measure the bearing of town B from…

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Question 10 · 3 marks

The diagram shows a right-angled triangular prism with dimensions: the triangular cross-section has legs 3 cm and 4 cm (right angle between them), hypotenuse 5 cm, and the length…

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Question 11 · 2 marks

The distance from town A to town B on a map is 3.5 cm. The scale on the map is 1 : 250 000. Find the actual distance, in kilometres, from town A to town B.

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Question 12 · 2 marks

A spinner is spun. The possible outcomes are A, B, C or D. The probability of spinning A, C or D is shown in the table. Letter on spinner A B C D --- --- --- --- --- Probability…

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Question 13 · 2 marks

ξ = {x : 1 ≤ x ≤ 20} E = {even numbers} M = {multiples of 5} Find n(M).

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Question 14 · 3 marks

Without using a calculator, work out 4/7 ÷ 1 5/21. You must show all your working and give your answer as a fraction in its simplest form.

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Question 15 · 3 marks

F is the point (1, −4), vector FG = (8, −3) and vector GH = (−12, 35). Find 3·vector FG.

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Question 16 · 2 marks

x is an integer where x ≥ −3 and x < 3. Write down all the possible values of x.

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Question 17 · 2 marks

Find the size of an interior angle of a regular 15-sided polygon.

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Question 18 · 2 marks

Write 45 000 in standard form.

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Question 19 · 2 marks

Simplify. 18x^12 ÷ 3x^3

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Question 20 · 3 marks

Buses at a station go to the port or to the town. Buses leave every 28 minutes for the port. Buses leave every 48 minutes for the town. At 10 18 a bus for the port and a bus for…

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Question 21 · 2 marks

Triangle ABC is similar to triangle PQR. In triangle ABC: AB = 15 cm, BC = 9 cm (with C at the top). In triangle PQR: PQ = 18 cm (base), and QR is to be found. Triangle ABC is…

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Question 22 · 6 marks

The diagram shows a right-angled triangle ABC. The right angle is at B. Angle ACB = 42°, and AC = 8.6 cm. Calculate AB.

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Question 23 · 3 marks

The mass, m kilograms, of object A is 350 kg, correct to the nearest 10 kg. Complete this statement about the value of m. .......... ≤ m < ..........

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