Number worksheet — GCSE Higher

1.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

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

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 cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

5.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.

6.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

8.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

9.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

10.Round 0.006482 to 2 significant figures.

11.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

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

13.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

14.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

15.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.