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.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 2.Round 592.5 to the nearest 10.
- 3.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 4.Work out √144 − 2 × 3 + √25
- 5.Write 90 as a product of its prime factors.
- 6.Work out the value of 6² − 4³.
- 7.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 8.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.
- 9.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 10.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
- 11.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 12.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 13.Write 0.325 as a fraction in its simplest form.
- 14.Work out 3³ + 2⁴.
- 15.Write 60 as a product of its prime factors, using index notation.
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