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.Write down the reciprocal of 0.2
- 2.2/3 of an amount of money is £30. Work out the amount.
- 3.Which of these statements about −0.7 and −0.25 is true?
- 4.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 5.Work out −(−3)⁴ + (−3)³
- 6.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.
- 7.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 8.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.
- 9.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 10.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 11.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 12.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 13.Write 0.325 as a fraction in its simplest form.
- 14.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 15.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
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