Number worksheet — GCSE Higher

1.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.

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

3.A courier's van has a weight limit of 850 kg for its parcels. The driver's display shows the total mass of the parcels loaded as 850 kg, correct to the nearest 5 kg. Decide whether the parcels are definitely within the weight limit.

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

5.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

6.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

7.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

8.Work out 35% of 180.

9.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

10.Work out 10% of 30% of £200.

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

12.Given that 2⁵ = 32, work out 2⁶.

13.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.

14.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

15.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.