IGCSE Mathematics (0580) — October–November 2024, Paper 21

21 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

A concert starts at 19 50 and finishes 2 hours 42 minutes later. Work out the time the concert finishes.

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Question 2 · 1 mark

Find the reciprocal of 1 1/4.

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Question 3 · 2 marks

Use one of the symbols <, or = to make each statement true. 2/7 ......... 0.2861 99/900 ......... 11% 1^3 ......... 4^0

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Question 4 · 2 marks

Safia has a piece of fabric of length 5.6 m. She cuts the fabric into two parts, with lengths in the ratio 3 : 4. Calculate the length of the longer part.

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Question 5 · 2 marks

Work out. 3 x (6, -4) (3 times the column vector (6, -4))

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Question 6 · 3 marks

The diagram shows a right-angled triangle ABC and a quadrilateral AEDC (NOT TO SCALE). Angle A = 90° (right angle at A), angle ACE part is 17°, angle DEA region 122° at E, angle…

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Question 7 · 1 mark

Factorise. 28x - 35

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Question 8 · 2 marks

Edith invests $3000 in a savings account. The account pays simple interest at a rate of 2.6% per year. Calculate the total interest earned at the end of 3 years.

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Question 9 · 3 marks

The diagram shows part of a regular polygon (NOT TO SCALE). The interior angle is (x + 132)° and the exterior angle is x°. The interior angle of the polygon is 132° larger than…

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Question 10 · 3 marks

Jacinda plays a game with her friend. She can win, lose or draw the game. The probability that she wins the game is 0.28. Jacinda is twice as likely to draw the game as to lose…

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Question 11 · 3 marks

Without using a calculator, work out 5 1/3 - 3 4/7. You must show all your working and give your answer as a mixed number in its simplest form.

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Question 12 · 3 marks

Solve the simultaneous equations. You must show all your working. 5x + 6y = 9 3x - 2y = -17

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Question 13 · 5 marks

A sequence has nth term 3n^2 - 1. Find the second term in this sequence.

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Question 14 · 4 marks

Two solid steel statues are mathematically similar. The smaller statue has height 12 cm and the larger statue has height 15 cm. The larger statue has a mass 2.5 kg. The density of…

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Question 15 · 5 marks

Students in class P take a test. These statistics show information about their marks: lowest quartile = 38, median = 53, interquartile range = 28, range = 81, highest mark = 96.…

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Question 16 · 4 marks

The diagram shows a sphere of radius 6 cm and a cylinder of height 18 cm and radius R cm (NOT TO SCALE). The volume of the sphere is equal to the volume of the cylinder. Calculate…

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Question 17 · 4 marks

Solve. 3x^2 - 7x - 16 = 0 You must show all your working and give your answers correct to 2 decimal places.

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Question 18 · 3 marks

g(x) = 4^(x + 3). Find x when g(x) = 1.

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Question 19 · 3 marks

Universal set = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. P = {odd numbers}, Q = {multiples of 3}, R = {square numbers}. Find P intersect Q intersect R.

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Question 20 · 5 marks

The diagram shows two right-angled triangles PQS and RQT (NOT TO SCALE). PQR and QTS are straight lines. PS = 18 cm, angle SPQ = 28°, TR = 4 cm... QT = 4 cm and QR = 9 cm.…

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Question 21 · 3 marks

Solve the equation 3 tan x + 5 = 1 for 0° <= x <= 360°.

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