Number worksheet — GCSE Foundation

1.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

2.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

3.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

4.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

5.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

6.Work out √144 − 2 × 3 + √25

7.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

8.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

9.2/3 of an amount of money is £30. Work out the amount.

10.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

11.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.

12.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

13.Work out 3π − π, giving your answer as a multiple of π.

14.Work out the lowest common multiple of 4 and 6.

15.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.