Number worksheet — GCSE Higher

1.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

2.Write 0.36 as a fraction in its simplest form.

3.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

4.Work out √225 ÷ 3.

5.Work out the exact value of √(2² + 3²)

6.Work out (−6) + (−4) × 3

7.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

8.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

9.Work out the value of 6² − 4³.

10.Work out 35% of 180.

11.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

14.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

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