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
MathsUKwww.geekhero.co.uk
- 1.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 2.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 3.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 4.Work out the reciprocal of (2 + 3)
- 5.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 6.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.
- 7.Work out (−2)³ + (−3)² − (−4)
- 8.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 9.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 10.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 11.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
- 12.4ˣ = 64. Work out the value of x.
- 13.Work out the value of 6² − 4³.
- 14.Work out √25 + 4² − 12 ÷ 3
- 15.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
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