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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 2.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 3.√700 lies between which two consecutive integers?
- 4.Work out 5⁰ + 5¹ + 5²
- 5.Work out √144 − 2 × 3 + √25
- 6.Work out ∛(−27) + ∛8
- 7.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 8.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.
- 9.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 10.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
- 11.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 12.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 13.Work out the value of (1/3)⁻²
- 14.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.
- 15.Work out 3.7 × 24.
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