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 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.
- 2.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 3.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 4.Write ∛(x²) as a single power of x.
- 5.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 7.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 8.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 9.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 10.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 11.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.
- 12.Work out 3³ + 2⁴.
- 13.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 14.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 15.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
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