Number worksheet — GCSE Higher

1.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

2.Rationalise the denominator of 6/√3, giving your answer in its simplest form.

3.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

4.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.

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

6.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.

7.Work out √25 + 4² − 12 ÷ 3

8.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

9.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.

10.Work out the reciprocal of (2 + 3)

11.Write 0.325 as a fraction in its simplest form.

12.Simplify x⁷ × x⁴, giving your answer as a single power of x.

13.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

14.Given that 2⁵ = 32, work out 2⁶.

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