Number worksheet — GCSE Foundation

1.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.

2.Work out √144

3.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

4.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

5.Work out −(−3)⁴ + (−3)³

6.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

7.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

8.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

9.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

10.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.

11.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

12.Round 3.947 to 2 decimal places.

13.Work out (−6) + (−4) × 3

14.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

15.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.