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.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 2.Write 0.875 as a fraction in its simplest form.
- 3.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.
- 4.√700 lies between which two consecutive integers?
- 5.Work out 36 ÷ (2 × 3)
- 6.Work out (5 + 2) × 3²
- 7.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 8.Which of these statements about −0.7 and −0.25 is true?
- 9.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 10.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 11.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 12.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
- 13.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
- 14.Write 90 as a product of its prime factors.
- 15.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
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