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.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.
- 2.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 3.Write down the exact decimal value of the fraction 1/6.
- 4.Which of these statements about −0.7 and −0.25 is true?
- 5.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 7.Work out √144 − 2 × 3 + √25
- 8.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 9.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 10.Simplify √45.
- 11.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.
- 12.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.
- 13.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 14.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 15.Work out (−6) + (−4) × 3
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