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
MathsUKwww.geekhero.co.uk
- 1.Write 60 as a product of its prime factors, using index notation.
- 2.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.
- 3.Work out √25 + 4² − 12 ÷ 3
- 4.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 5.Round 0.006852 to 2 significant figures.
- 6.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 7.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 8.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 9.Work out 3 × (−2)² − 5
- 10.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 11.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 12.Work out (−36) ÷ (−6) × 2
- 13.Work out the value of 6² − 4³.
- 14.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 15.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
Build your own mix at the worksheet builder.