Number worksheet — GCSE Foundation

1.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

2.Work out the highest common factor of 12 and 18.

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

4.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

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

6.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

7.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.

8.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

9.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

10.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

11.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

12.Write 200 as a product of its prime factors, using index notation.

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

14.Simplify x⁷ × x⁴, giving your answer as a single power of x.

15.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.