Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Number worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
- 2.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 3.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
- 4.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 5.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 6.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 7.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 8.Work out the value of 6² − 4³.
- 9.Given that 2⁵ = 32, work out 2⁶.
- 10.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 11.Work out 5⁰ + 5¹ + 5²
- 12.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 13.Work out 35% of 180.
- 14.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 15.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
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