Number worksheet — GCSE Higher

1.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.

2.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

3.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

4.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

5.Work out (−6) + (−4) × 3

6.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

7.Work out 3.7 × 24.

8.Write 200 as a product of its prime factors, using index notation.

9.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

10.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

11.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

12.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

13.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

14.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

15.Given that 2⁵ = 32, work out 2⁶.