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.Work out 35% of 180.
- 2.Expand and simplify √3(2 + √12).
- 3.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 4.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 5.4ˣ = 64. Work out the value of x.
- 6.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.
- 7.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 8.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 9.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 10.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 11.Work out the value of √(16 + 9)
- 12.Work out 6² − 4².
- 13.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
- 14.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 15.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
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