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
MathsUKwww.geekhero.co.uk
- 1.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 2.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 3.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 4.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 5.Find the missing number: ▢ ÷ 15 = 24
- 6.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 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.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 9.Work out √144 − 2 × 3 + √25
- 10.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 12.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 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.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?
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