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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 2.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 3.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 4.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 5.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 6.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 7.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.
- 8.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 9.Work out the value of .
- 10.Write 0.005 in standard form.
- 11.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.
- 12.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 13.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 14.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 15.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
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