Number worksheet — GCSE Foundation

1.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

2.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

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.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

5.Work out −6 × (−3).

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

7.Write down the symbol that makes this statement true: −9 ___ −4

8.Work out (5 + 2) × 3²

9.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

10.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

11.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

12.Work out the reciprocal of (2 + 3)

13.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

14.Work out (−3) × 4 + 2 × (−5)

15.Work out (2/3)² + (1/2)². Give your answer as a fraction.