Number worksheet — GCSE Foundation

1.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

2.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.

3.Write 90 as a product of its prime factors.

4.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

5.Work out −7 − (−3).

6.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

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

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

9.Work out the value of √64.

10.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

11.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

12.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.

13.Which of these numbers lies between −4 and −1 on a number line?

14.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

15.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.