Number worksheet — GCSE Higher

1.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.

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

3.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.

4.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

5.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

6.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

7.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.

8.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.

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

10.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

11.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

12.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

13.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

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

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