Number worksheet — GCSE Foundation

1.Write '3.2 million' as a number in figures.

2.Simplify x⁷ × x⁴, giving your answer as a single power of x.

3.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

4.2/3 of an amount of money is £30. Work out the amount.

5.Which of these is written correctly in standard form?

6.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?

7.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.

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

9.Write 0.325 as a fraction in its simplest form.

10.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

11.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

12.Which of these statements about −0.7 and −0.25 is true?

13.Work out 3/8 of 96.

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

15.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.