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.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.
- 2.Work out −(−3)⁴ + (−3)³
- 3.Work out (5 + 2) × 3²
- 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.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 6.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 7.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
- 8.Write 0.005 in standard form.
- 9.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 10.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 11.Simplify (y³)⁴, giving your answer as a single power of y.
- 12.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 13.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 14.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 15.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.
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