Number worksheet — GCSE Foundation

1.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

2.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.

3.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

4.Write 0.36 as a fraction in its simplest form.

5.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

6.Work out 10% of 30% of £200.

7.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.

8.Round 0.006852 to 2 significant figures.

9.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.

10.After a price increase of 10%, a laptop costs £330. Work out the original price.

11.Work out the value of ∛8.

12.Work out 6² − 4².

13.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

14.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

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