Number worksheet — GCSE Higher

1.Write down the symbol that makes this statement true: −2/3 ___ −5/6

2.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

3.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

4.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?

5.Work out ⁴√81

6.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

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

8.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.

9.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

10.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

11.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

12.Work out 6² − 4².

13.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

14.Work out (−36) ÷ (−6) × 2

15.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.