Number worksheet — GCSE Foundation

1.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

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

3.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

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

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

6.Write 260,000 in standard form.

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

8.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

9.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

10.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.

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.Work out 10% of 30% of £200.

13.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

14.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.

15.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.