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 paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 2.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 3.Work out √(4 × 9)
- 4.4ˣ = 64. Work out the value of x.
- 5.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 6.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 7.Work out ⁴√81
- 8.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 9.Simplify x⁶ ÷ x²
- 10.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 11.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 12.Work out 3³ + 2⁴.
- 13.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 14.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
- 15.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
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