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.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 2.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 3.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 4.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 5.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 6.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 7.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 8.Work out (−3) × 4 + 2 × (−5)
- 9.Simplify √8 + √18, giving your answer in the form k√2.
- 10.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 11.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 12.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 13.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 14.Write 5/6 as a decimal, showing clearly which digit recurs.
- 15.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
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