Number worksheet — GCSE Foundation

1.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

2.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

3.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

4.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

5.Work out 8% of £250.

6.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

7.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

8.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

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

10.Which of these statements about −0.7 and −0.25 is true?

11.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.

12.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

13.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

14.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

15.Work out 5⁰ + 5¹ + 5²