Number worksheet — GCSE Higher

1.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

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

3.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.

4.Work out 35% of 180.

5.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

6.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

7.Work out the value of 2⁻⁴

8.Work out 3 × (−2)² − 5

9.A country has an area of 25,000,000 hectares. Write this area in standard form.

10.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.

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

12.Work out √225 ÷ 3.

13.Work out 6² − 4².

14.√700 lies between which two consecutive integers?

15.Robert is converting 0.999... (with the 9s recurring forever) into a fraction. He lets x = 0.999... . Multiplying by 10 gives 10x = 9.999... . Subtracting x from 10x gives 9x = 9, so x = 1. Which statement correctly explains this result?