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.
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Number worksheet — GCSE Higher
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- 1.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 2.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 3.Work out ⁴√81
- 4.Simplify (x⁻²)³, giving your answer as a fraction.
- 5.Work out √144 − 2 × 3 + √25
- 6.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 7.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 8.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 9.√700 lies between which two consecutive integers?
- 10.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 11.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 12.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.
- 13.Which of these is written correctly in standard form?
- 14.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 15.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
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