Number worksheet — GCSE Foundation

1.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

2.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

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

7.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

8.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.

9.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

10.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

11.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

12.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

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

14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

15.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.