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.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 2.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 3.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.
- 4.Which one of these statements is true?
- 5.Work out how many factors 100 has.
- 6.Write down the reciprocal of 0.2
- 7.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.
- 8.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
- 9.Write 200 as a product of its prime factors, using index notation.
- 10.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 11.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
- 12.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
- 13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 14.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 15.Work out √3 × √12, giving your answer as an integer.
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