Number worksheet — GCSE Foundation

1.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

2.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.

3.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

5.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

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

7.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

8.Work out 3³ + 2⁴.

9.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

10.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

11.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

12.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

13.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

14.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.

15.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.