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.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 2.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 3.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 4.Work out 3³ + 2⁴.
- 5.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.
- 6.Write 0.06 as a fraction in its simplest form.
- 7.Work out √(4 × 9)
- 8.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 9.Simplify ⁴√(16a⁸b¹²)
- 10.Which one of these statements is true?
- 11.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 12.Write 5,000,000 in standard form.
- 13.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 14.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 15.Simplify √8 + √18, giving your answer in the form k√2.
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