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.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 2.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 3.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
- 4.Work out how many factors 100 has.
- 5.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 6.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 7.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 8.Work out ∛(−27) + ∛8
- 9.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 10.Work out −4.5 + 2.8.
- 11.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 12.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 13.Work out the value of .
- 14.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 15.Simplify (3a²)² × (2a)³
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