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.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 2.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 3.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
- 4.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 5.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.
- 6.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 7.Which statement about the number 91 is correct?
- 8.Write 0.35 as a fraction in its lowest terms.
- 9.Work out 5⁰ + 5¹ + 5²
- 10.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 11.2/3 of an amount of money is £30. Work out the amount.
- 12.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 13.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 14.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.
- 15.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
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