Number worksheet — GCSE Foundation

1.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

2.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.

3.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

4.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

5.Write down the reciprocal of 0.2

6.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

7.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

8.Work out 3 × (−2)² − 5

9.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

10.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

11.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

12.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

13.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

14.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.