Number worksheet — GCSE Higher

1.Work out how many factors 36 has.

2.Work out √144 − 2 × 3 + √25

3.Simplify (5² × 2³)³ ÷ (5³ × 2²)²

4.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.

5.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

6.Work out (−36) ÷ (−6) × 2

7.Write 0.06 as a fraction in its simplest form.

8.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.

9.Work out √25 + 4² − 12 ÷ 3

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

11.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

12.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

13.Work out 3 × (−2)² − 5

14.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

15.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.