Number worksheet — GCSE Higher

1.Work out 3³ + 2⁴.

2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

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

4.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

5.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

6.4ˣ = 64. Work out the value of x.

7.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

8.Work out 36 ÷ (2 × 3)

9.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.

10.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

11.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

13.Find the missing number: 17 × ▢ = 391

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

15.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.