IGCSE Mathematics (0580) — 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 points A, B and C, with line AB and an angle x marked at A. 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. 6/7 8.6 x 10^-1 11/13 86.5%

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Question 5 · 3 marks

The diagram shows a quadrilateral. Draw all the lines of symmetry on this quadrilateral.

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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 she delivers each month for one year. 48 44 39 28 57 22 36 41 54 57 49 52 Complete the stem-and-leaf diagram. (Key: 4 8 represents…

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Question 10 · 1 mark

a = (5, -7) and b = (6, -7) are 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

The diagram shows a Venn diagram with two sets A and B inside a universal set. On the Venn diagram, shade the region A union 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 cm^2. 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 (NOT TO SCALE) with hypotenuse 14 cm, an adjacent side of 8.5 cm, and 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

5^7 ÷ 5^x = 5^3 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

Universal set = {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 (the diagram already shows 10 in S only, 2 and 8…

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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

The diagram shows a flagpole, BD, held by two ropes, AD and CD (NOT TO SCALE). ABC is a straight line and angle ABD = 90°. AD = 21.2 m, AB = 16.5 m and angle BCD = 48°. Show that…

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