Number worksheet — GCSE Foundation

1.Work out 2 × (−3 + 7)

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

3.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?

4.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

5.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.

6.Work out 5⁰ + 5¹ + 5²

7.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

8.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

9.Work out the value of ∛8.

10.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

11.Which one of these statements is true?

12.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

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

14.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

15.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.