Number worksheet — GCSE Foundation

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

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

3.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

4.Work out 2 × (−3 + 7)

5.Write 0.45 as a fraction in its simplest form.

6.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.

7.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

8.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

9.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

10.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

11.Work out 250 ÷ 1000.

12.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

13.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

14.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

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