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.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 2.Work out √225 ÷ 3.
- 3.Given that 2⁵ = 32, work out 2⁶.
- 4.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 5.The radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
- 6.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?
- 7.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 8.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.
- 9.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 10.Write 5/6 as a decimal, showing clearly which digit recurs.
- 11.Work out the value of .
- 12.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 13.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 14.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 15.Write 90 as a product of its prime factors.
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