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
MathsUKwww.geekhero.co.uk
- 1.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 2.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 3.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 4.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 5.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 6.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 7.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 8.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 9.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
- 10.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 11.Write 5/6 as a decimal, showing clearly which digit recurs.
- 12.Work out 35% of 180.
- 13.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 14.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 15.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
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