Number worksheet — GCSE Foundation

1.Write 0.06 as a fraction in its simplest form.

2.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

3.Write 260,000 in standard form.

4.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

5.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

6.Which of these is equal to 5³?

7.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.

8.Work out the lowest common multiple of 9 and 15.

9.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

10.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

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

12.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

13.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

14.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

15.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.