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.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 2.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 3.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.
- 4.Write 0.36 as a fraction in its simplest form.
- 5.Work out how many factors 36 has.
- 6.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 7.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 8.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 9.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 10.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 11.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.
- 12.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 13.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 14.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.
- 15.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.
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