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.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 2.Simplify (x⁻²)³, giving your answer as a fraction.
- 3.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 4.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 5.Work out the value of (√5)⁴
- 6.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 7.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 8.√700 lies between which two consecutive integers?
- 9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
- 10.Work out 3.7 × 24.
- 11.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
- 12.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.
- 13.Work out √225 ÷ 3.
- 14.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 15.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
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