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 grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
- 2.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 3.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 4.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
- 5.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 6.Simplify √45.
- 7.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 8.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 9.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 10.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 11.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 12.Write 5/6 as a decimal, showing clearly which digit recurs.
- 13.Expand and simplify √3(2 + √12).
- 14.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.
- 15.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
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