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.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 2.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.
- 3.Simplify √8 + √18, giving your answer in the form k√2.
- 4.Work out the value of (1/3)⁻²
- 5.Write 5/6 as a decimal, showing clearly which digit recurs.
- 6.Work out the value of 2⁻⁴
- 7.Simplify ⁴√(16a⁸b¹²)
- 8.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?
- 9.Write 0.36 as a fraction in its simplest form.
- 10.Write 0.005 in standard form.
- 11.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
- 12.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 13.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 14.Simplify (y³)⁴, giving your answer as a single power of y.
- 15.Write 0.35 as a fraction in its lowest terms.
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