Number worksheet — GCSE Higher

1.2/3 of an amount of money is £30. Work out the amount.

2.Work out (−6) + (−4) × 3

3.A set of kitchen scales displays the mass of a bag of sugar as 0.63 recurring kilograms, meaning 0.636363... kg with the block '63' repeating forever. Convert this mass to a fraction of a kilogram, then work out the mass in grams, giving your answer to the nearest gram.

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

5.Work out 3 + 4 × (−2).

6.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

7.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

8.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

10.Work out (−3) × 4 + 2 × (−5)

11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

12.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

13.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

14.Work out the value of √(16 + 9)

15.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.