Number worksheet — GCSE Foundation

1.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

2.Given that 2⁵ = 32, work out 2⁶.

3.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

4.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

5.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

6.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

7.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

8.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

9.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

10.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

11.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

12.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

13.Write 45,000 in standard form.

14.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

15.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%