Number worksheet — GCSE Higher

1.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

2.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

3.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

4.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

5.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

6.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

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

8.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

10.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

11.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

12.The density of a metal is calculated using density = mass ÷ volume. A sample has a mass of 156 g, correct to the nearest gram, and a volume of 12 cm³, correct to the nearest cm³. Work out the minimum possible density, in g/cm³.

13.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

14.Work out 10% of 30% of £200.

15.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.