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 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.
- 2.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 3.Work out 4368 ÷ 12.
- 4.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 5.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 6.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 7.Write 0.36 as a fraction in its simplest form.
- 8.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 9.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 10.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.
- 11.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 12.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 13.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.
- 14.4ˣ = 64. Work out the value of x.
- 15.2/3 of an amount of money is £30. Work out the amount.
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