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
MathsUKwww.geekhero.co.uk
- 1.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 2.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
- 3.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.
- 4.Write 5,000,000 in standard form.
- 5.Work out the value of .
- 6.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 7.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
- 8.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.
- 9.Work out 10% of 30% of £200.
- 10.Work out 5⁰ + 5¹ + 5²
- 11.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
- 12.Which of these is written correctly in standard form?
- 13.Work out the value of .
- 14.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 15.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
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