Number worksheet — GCSE Higher

1.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

2.Write 0.875 as a fraction in its simplest form.

3.Last year a company made a profit of £5,200,000. Write this amount in standard form.

4.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

5.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

6.Work out ⁴√16

7.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

8.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

9.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

10.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.

11.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

12.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

13.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

14.Round 0.006482 to 2 significant figures.

15.Simplify x⁶ ÷ x²