Number worksheet — GCSE Foundation

1.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

2.Simplify x⁷ × x⁴, giving your answer as a single power of x.

3.Work out 4π + 2π, giving your answer as a multiple of π.

4.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

5.Write down the reciprocal of 5/8

6.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

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

8.Work out the lowest common multiple of 4 and 6.

9.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

10.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

11.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

12.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

13.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.

14.Round 24,681 to the nearest 1,000.

15.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.