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.
Number worksheet — GCSE Higher
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- 1.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 2.Work out the value of 2⁻²
- 3.Simplify √8 + √18, giving your answer in the form k√2.
- 4.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.
- 5.Simplify x⁶ ÷ x²
- 6.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 7.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 8.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 9.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
- 10.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 11.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 12.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.
- 13.2/3 of an amount of money is £30. Work out the amount.
- 14.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.
- 15.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
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