Number worksheet — GCSE Higher

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

2.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

3.Work out 5/6 × 2/9, giving your answer in its simplest form.

4.Simplify √45.

5.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

6.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.

7.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

8.Work out 36 ÷ (2 × 3)

9.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

10.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

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

12.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

13.Work out ⁴√16

14.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

15.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.