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.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 2.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
- 3.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 4.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.
- 5.Write down the exact decimal value of the fraction 1/6.
- 6.Simplify √8 + √18, giving your answer in the form k√2.
- 7.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 8.Simplify (x⁻²)³, giving your answer as a fraction.
- 9.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 10.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 11.Find the missing number: ▢ ÷ 15 = 24
- 12.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 13.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 14.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 15.Work out √25 + 4² − 12 ÷ 3
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