Number worksheet — GCSE Foundation

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

2.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.

3.Write 0.25 as a fraction in its simplest form.

4.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

5.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

6.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

7.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?

8.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.

9.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

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

11.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

12.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

13.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

14.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

15.Write these numbers in order, starting with the smallest: 3, −1, 0, −5