Number worksheet — GCSE Foundation

1.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

2.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

3.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

4.Work out the lowest common multiple of 9 and 15.

5.Work out 2⁵.

6.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

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

8.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

9.Work out √25 + 4² − 12 ÷ 3

10.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

11.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

12.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

13.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

14.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

15.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.