Number worksheet — GCSE Higher

1.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

2.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.

3.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

4.Work out 100 − 4 × 5²

5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

6.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

7.Write 200 as a product of its prime factors, using index notation.

8.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.

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

10.Work out ∛(−27) + ∛8

11.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

12.A driving instructor is working out how many current-style UK number plates are possible. The format is 2 letters, then 2 digits, then a space, then 3 letters (for example AB12 CDE). The letters I, O and Q are never used in any letter position, leaving 23 allowed letters, but every letter and every digit may repeat anywhere on the plate. Work out how many different number plates are possible, giving your answer in standard form to 2 significant figures.

13.Work out √3 × √12, giving your answer as an integer.

14.Given that 2⁵ = 32, work out 2⁶.

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