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.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
- 2.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 3.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 4.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.
- 5.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 6.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 7.Write 200 as a product of its prime factors, using index notation.
- 8.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 9.Work out the value of .
- 10.Simplify √8 + √18, giving your answer in the form k√2.
- 11.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 12.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.
- 13.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 14.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 15.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
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