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.
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Number worksheet — GCSE Higher
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- 1.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 2.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 3.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.
- 4.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 5.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 6.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 7.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 8.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 10.Work out the exact value of √(2² + 3²)
- 11.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 12.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 13.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 14.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 15.A country has an area of 25,000,000 hectares. Write this area in standard form.
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