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.Simplify (x⁻²)³, giving your answer as a fraction.
- 2.Write 0.06 as a fraction in its simplest form.
- 3.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 4.Estimate the value of √45, giving your answer to the nearest whole number.
- 5.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
- 6.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
- 7.Write down the reciprocal of 0.2
- 8.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 9.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
- 10.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 11.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 12.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 13.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.
- 14.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 15.Work out √25 + 4² − 12 ÷ 3
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