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
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- 1.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 2.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 3.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 4.Write 5/6 as a decimal, showing clearly which digit recurs.
- 5.Write 0.36 as a fraction in its simplest form.
- 6.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.
- 7.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.
- 8.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 9.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 10.Work out the value of .
- 11.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.
- 12.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.
- 13.Round 592.5 to the nearest 10.
- 14.Write down the reciprocal of 0.2
- 15.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
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