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.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 2.Work out the value of (√5)⁴
- 3.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 4.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 5.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.
- 6.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 7.Which of these decimals lies between 1/4 and 2/5?
- 8.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 9.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 10.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
- 11.Work out the value of (1/3)⁻²
- 12.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 13.Work out 100 − 4 × 5²
- 14.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.
- 15.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.
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