IGCSE Mathematics (0980) — May–June 2023, Paper 22

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

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

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…

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.

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…

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

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.

Solve. 30/x = 6

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

A coordinate grid is shown with shape A (a quadrilateral with vertices approximately at (3, −1), (4, −1), (5, −3), (3, −3)) and shape B (a quadrilateral with vertices…

The diagram shows a shape, ABCD, formed by the sectors of two circles with the same centre O. Both sector angles are 140°, OC = 3.2 cm and CB = 2.6 cm. The area of the shape is kπ…

One solution of the equation ax² + b = 181 is x = 8. a and b are both positive integers greater than 1. Find the value of b.

A, B, C and D are points on a circle. AB is parallel to DC and angle ACD = 32°. Chords AC and DB intersect at E. Angle AEB = x°. Find the value of x.

f(x) = 5x + 2 Find f⁻¹(x).

C is the point (5, −1) and D is the point (13, 15). Find the midpoint of CD.

Write 0.621̇ as a fraction in its simplest form. You must show all your working.

The diagram shows a triangle with two sides of length 92.5 cm and 71 cm, and an acute angle x° between them. The area of the triangle is 2143 cm². Work out the value of x.

Make x the subject of the formula. c = 3x / (2x − 5)

m is inversely proportional to the square of (t + 2). m = 0.64 when t = 3. Find m when t = 8.

In the Venn diagram, shade the region A ∩ B' ∩ C.

Solve the equation 5 sin x = −3 for 0° ≤ x ≤ 360°.

Write as a single fraction in its simplest form. 5/(3x + 2) + 4/(2x − 1)

Bag A and bag B each contain red sweets and yellow sweets. Anna picks a sweet at random from bag A. Ben picks a sweet at random from bag B. The probability that Anna picks a red…