Number worksheet — GCSE Foundation

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

2.Work out (−3) × 4 + 2 × (−5)

3.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

4.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.

5.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

6.Which of these is equal to 5³?

7.Work out 3 + 4 × 2²

8.Write down the symbol that makes this statement true: 6/11 ___ 4/11

9.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

10.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

11.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

12.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

13.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

14.Round 6.283 to 1 significant figure.

15.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.