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
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- 1.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.
- 2.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 3.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 4.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.
- 5.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 6.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 7.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 8.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 9.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 10.Simplify (y³)⁴, giving your answer as a single power of y.
- 11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 12.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.
- 13.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 14.Which of these statements about −0.7 and −0.25 is true?
- 15.Work out (2/3)² + (1/2)². Give your answer as a fraction.
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