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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Write ∛(x²) as a single power of x.
- 2.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 3.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.
- 4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 5.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 6.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 7.Write down the reciprocal of 0.2
- 8.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
- 9.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 10.Simplify x⁶ ÷ x²
- 11.√700 lies between which two consecutive integers?
- 12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 13.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.
- 14.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 15.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
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