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.Work out √225 ÷ 3.

3.Round 0.006482 to 2 significant figures.

4.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

5.Find the missing number: ▢ ÷ 15 = 24

6.Work out how many factors 36 has.

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

8.Work out the reciprocal of (2 + 3)

9.Simplify √45.

10.Work out √144 − 2 × 3 + √25

11.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

12.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.

13.Write down the reciprocal of 0.2

14.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.