Number worksheet — GCSE Foundation

1.A country has an area of 25,000,000 hectares. Write this area in standard form.

2.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

3.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

4.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

5.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

6.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

7.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

8.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

9.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

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

11.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

12.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

13.Write 0.0038 in standard form.

14.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

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