Number worksheet — GCSE Foundation

1.After a price increase of 10%, a laptop costs £330. Work out the original price.

2.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

3.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

4.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

5.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

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.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

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

9.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

10.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

11.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.

12.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

13.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

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

15.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.