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.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
- 2.Round 0.006482 to 2 significant figures.
- 3.Write down the reciprocal of 0.2
- 4.Write 200 as a product of its prime factors, using index notation.
- 5.Simplify √45.
- 6.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 7.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 8.Work out 6² − 4².
- 9.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.
- 10.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 11.Work out 100 − 4 × 5²
- 12.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 13.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 14.Work out √25 + 4² − 12 ÷ 3
- 15.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
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