Number worksheet — GCSE Foundation

1.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.

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

3.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

4.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

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

6.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.

7.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

8.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

9.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

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

11.Work out 3 + 4 × (−2).

12.Write down the decimal that is equal to 3/5.

13.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

14.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

15.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.