Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 0.45 ___ 0.5

2.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.

3.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

4.Work out 8% of £250.

5.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

6.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

7.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

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

9.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

10.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

11.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

12.Work out 5 + 3 × (9 − 6)

13.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

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

15.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.