Number worksheet — GCSE Foundation

1.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

2.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

3.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

4.Work out 35% of 180.

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

6.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

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

8.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

9.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.

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

11.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

12.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

13.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

14.Round 6.283 to 1 significant figure.

15.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.