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.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 2.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 3.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 4.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 5.Round 0.006852 to 2 significant figures.
- 6.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
- 7.Write 0.06 as a fraction in its simplest form.
- 8.Write 0.005 in standard form.
- 9.Work out the value of 2⁻⁴
- 10.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.
- 11.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.
- 12.Simplify (x⁻²)³, giving your answer as a fraction.
- 13.Work out (−2)³ + (−3)² − (−4)
- 14.Work out the value of √49 + ∛27
- 15.Work out 6² − 4².
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