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.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 2.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 3.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 4.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 5.Write 0.005 in standard form.
- 6.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
- 7.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 8.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 9.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 10.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
- 11.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 12.Work out the exact value of √(2² + 3²)
- 13.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 15.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
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