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
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- 1.Which of these statements about −0.7 and −0.25 is true?
- 2.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 3.Find the missing number: 17 × ▢ = 391
- 4.Write 0.325 as a fraction in its simplest form.
- 5.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 6.Work out the value of 6² − 4³.
- 7.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 8.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
- 9.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 10.Work out 3.7 × 24.
- 11.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
- 12.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 13.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 14.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 15.Write 0.06 as a fraction in its simplest form.
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