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.Work out 3 + 4 × (−2).
- 2.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 3.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 4.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
- 5.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.
- 6.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 7.Work out (−2)² − 3
- 8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 9.Work out the value of 2⁻⁴
- 10.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 11.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 12.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 13.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 14.Expand and simplify √3(2 + √12).
- 15.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?
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