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.Simplify √8 + √18, giving your answer in the form k√2.
- 2.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 3.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 4.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
- 5.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 6.Work out ∛64.
- 7.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.
- 8.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 9.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 10.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 11.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 12.Work out √144 − 2 × 3 + √25
- 13.Work out 36 ÷ (2 × 3)
- 14.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 15.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
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