Number worksheet — GCSE Foundation

1.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

2.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.

3.Which of these numbers is the largest: −9, −7, −4, −2?

4.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.

5.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

6.Round 3.947 to 2 decimal places.

7.Which of these units would be most appropriate to use when stating the mass of a small car?

8.Work out (−2)³ + (−3)² − (−4)

9.Work out 4368 ÷ 12.

10.Work out 15% of £40, using 10% and 5%.

11.Write 0.0038 in standard form.

12.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

13.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

14.Work out 8% of £250.

15.Simplify x⁶ ÷ x²