IGCSE Mathematics (0980) — May–June 2024, Paper 12

25 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

Write the number 31 072 000 in words.

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Question 2 · 4 marks

The diagram shows angle x at vertex B of a figure with points A, B, C. Measure the size of angle x.

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Question 3 · 1 mark

Find the value of the reciprocal of 0.4.

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Question 4 · 2 marks

Write these numbers in order, starting with the smallest: 11/13, 6/7, 8.6 × 10^-1, 86.5%.

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Question 5 · 3 marks

Draw all the lines of symmetry on this quadrilateral. [The quadrilateral is a square.]

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Question 6 · 1 mark

The temperature at midnight is −4 °C. The temperature at noon is 25 °C. Work out the difference between these two temperatures.

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Question 7 · 2 marks

A gardener charges $6.55 for each hour he works plus a fixed charge of $15.50. Calculate the total amount he charges when he works for 4 hours.

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Question 8 · 3 marks

Jonah has $750. He spends 1/4 of this money on travel, and some of this money on food. He now has $437.50. Work out the fraction of the $750 he spends on food.

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Question 9 · 3 marks

A delivery driver records the number of pizzas delivered each month for a year: 48, 44, 39, 28, 57, 22, 36, 41, 54, 57, 49, 52. Complete the stem-and-leaf diagram (stems 2, 3, 4,…

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Question 10 · 1 mark

a = (5, −7) and b = (6, −7) [column vectors]. Work out a − b.

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Question 11 · 4 marks

These are the first four terms of a sequence: 23, 17, 11, 5. Write down the next two terms.

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Question 12 · 1 mark

Write 0.04628 correct to 2 significant figures.

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Question 13 · 1 mark

On the Venn diagram, shade the region A ∪ B.

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Question 14 · 2 marks

Factorise completely. 20x − 90x^2

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Question 15 · 1 mark

Describe the type of correlation between the speed of runners and the time taken to complete a race.

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Question 16 · 5 marks

A circle has an area of 36π cm². Find the circumference of the circle. Give your answer in terms of π.

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Question 17 · 1 mark

Write 174 000 in standard form.

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Question 18 · 2 marks

The diagram shows a right-angled triangle with hypotenuse 14 cm and an adjacent side 8.5 cm, with angle x° between them. Calculate the value of x.

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Question 19 · 3 marks

Without using a calculator, work out 2 1/4 ÷ 1 7/8. You must show all your working and give your answer as a mixed number in its simplest form.

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Question 20 · 2 marks

Expand and simplify. (x − 4)(x − 7)

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Question 21 · 1 mark

5^x ÷ 5^3 = 5^7. Find the value of x.

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Question 22 · 2 marks

The length, l metres, of a piece of material is 4.5 m, correct to the nearest 10 cm. Complete this statement about the value of l: ......... ≤ l < .........

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Question 23 · 2 marks

ℰ = {x : x is a natural number less than 12}. S = {1, 4, 7, 10}. T = {1, 3, 5, 7, 9, 11}. Complete the Venn diagram (some values 2, 8, 10 already placed).

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Question 24 · 2 marks

In a class of 30 students, 13 travel to school by bus. There are 570 students in the school. Find the expected number of students in the school who travel by bus.

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Question 25 · 6 marks

A flagpole BD is held by two ropes AD and CD. ABC is a straight line and angle ABD = 90°. AD = 21.2 m, AB = 16.5 m and angle BCD = 48°. Show that the height of the flagpole BD is…

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