Number worksheet — GCSE Foundation

1.Given that 2⁵ = 32, work out 2⁶.

2.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

3.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

4.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

5.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

6.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

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

8.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

9.Round 6.283 to 1 significant figure.

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

11.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

12.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

13.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

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

15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.