Number worksheet — GCSE Higher

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

2.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

4.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

5.Write 0.06 as a fraction in its simplest form.

6.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

7.Work out the value of (1/3)⁻²

8.Write down the exact decimal value of the fraction 1/6.

9.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.

10.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.

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

12.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

13.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

14.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

15.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.