Number worksheet — GCSE Foundation

1.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

2.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

3.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

4.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

5.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

6.Work out the value of √(16 + 9)

7.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

8.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

9.Write down the value of 3⁰

10.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

11.Write the mixed number 2 1/4 as an improper fraction.

12.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.

13.Work out (−6) + (−4) × 3

14.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

15.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.