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.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 2.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 3.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 4.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 5.Write 0.005 in standard form.
- 6.Write down the exact decimal value of the fraction 1/6.
- 7.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 8.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 9.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 10.Work out 6² − 4².
- 11.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 12.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 13.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 14.2/3 of an amount of money is £30. Work out the amount.
- 15.Estimate the value of √45, giving your answer to the nearest whole number.
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