Number worksheet — GCSE Foundation

1.Work out −7 − (−3).

2.Write 0.875 as a fraction in its simplest form.

3.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

4.Write 0.005 in standard form.

5.Write 0.00072 in standard form.

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

7.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

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

9.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

10.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

11.Work out (−3) × 4 + 10

12.Work out √225 ÷ 3.

13.Work out 2 × (−3 + 7)

14.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.

15.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.