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.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
- 2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 3.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
- 4.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 5.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 6.Work out ∛(−27) + ∛8
- 7.Round 0.006852 to 2 significant figures.
- 8.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.
- 9.Work out (5 + 2) × 3²
- 10.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 11.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.
- 12.Write 12 as a product of its prime factors.
- 13.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.
- 14.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
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