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 concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 2.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.
- 3.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 4.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 5.Write 0.325 as a fraction in its simplest form.
- 6.Expand and simplify √3(2 + √12).
- 7.Write 5/6 as a decimal, showing clearly which digit recurs.
- 8.Work out ⁴√16
- 9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
- 10.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 11.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 12.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 13.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 14.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 15.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
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