Number worksheet — GCSE Foundation

1.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

2.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.

3.Work out the highest common factor of 12 and 18.

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

5.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

6.Work out how many factors 100 has.

7.Work out 3 + 4 × 2²

8.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

9.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.

10.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

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

12.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.

13.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.

14.Work out 100 − 4 × 5²

15.Which of these decimals lies between 1/4 and 2/5?