Number worksheet — GCSE Higher

1.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

2.Work out ∛64.

3.Write down the reciprocal of 0.2

4.Write 0.325 as a fraction in its simplest form.

5.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

6.Work out 6² − 4².

7.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

8.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

9.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

10.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

11.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.

12.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.

13.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

14.Work out √(4 × 9)

15.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.