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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 2.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 3.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 4.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 5.Given that 2⁵ = 32, work out 2⁶.
- 6.Simplify x⁶ ÷ x²
- 7.Work out 3 × (−2)² − 5
- 8.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 10.Work out 36 ÷ (2 × 3)
- 11.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 12.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 13.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.
- 14.Simplify (3a²)² × (2a)³
- 15.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
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