Number worksheet — GCSE Higher

1.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

2.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.

3.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

4.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

5.Work out 3 + 4 × (−2).

6.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

7.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

8.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

9.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

10.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

11.Work out 100 − 4 × 5²

12.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

13.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

14.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

15.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.