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
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- 1.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 3.Write 0.36 as a fraction in its simplest form.
- 4.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
- 5.Work out the value of 2⁻²
- 6.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.
- 7.Simplify √8 + √18, giving your answer in the form k√2.
- 8.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 9.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 10.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 11.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 12.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.
- 13.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 14.Simplify ⁴√(16a⁸b¹²)
- 15.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
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