Number worksheet — GCSE Foundation

1.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.

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

3.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

4.Round 3.947 to 2 decimal places.

5.Work out 5 + 3 × (9 − 6)

6.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

7.Work out the value of 2⁻⁴

8.Work out 3π − π, giving your answer as a multiple of π.

9.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

10.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

11.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

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

13.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

14.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.

15.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?