Number worksheet — GCSE Foundation

1.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

2.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.

3.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.

4.Write down the symbol that makes this statement true: 3/10 ___ 0.3

5.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

6.Work out the value of 6² − 4³.

7.Write down the symbol that makes this statement true: 0.45 ___ 0.5

8.Work out the value of ∛125.

9.Round 3.947 to 2 decimal places.

10.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

11.Work out 2 × (−3 + 7)

12.Which one of these statements is true?

13.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

14.Work out ⁴√81

15.Work out −(−3)⁴ + (−3)³