GCSE · Ratio

Sharing a quantity in a ratioExam-style questions

Why a ratio splits a quantity into equal "parts", how to find the value of one part, and how that unlocks difference, one-share-given, and fraction questions.

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19 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4
  1. 1
    Priya and Quinn share £480 in the ratio 5 : 3. Work out how much more Priya receives than Quinn.
    Level 3 · 3 marksTry it
  2. 2
    In a bag, the ratio of red counters to blue counters is 3 : 5. There are 32 counters in the bag altogether.

    (a) What fraction of the counters are red?

    (b) How many counters are red?
    Level 3 · 3 marksTry it
  3. 3
    Two friends share a sum of money in the ratio 3:73 : 7.

    The larger share is £8484.

    Work out the total amount shared.
    Level 3 · 3 marksTry it
  4. 4
    The angles of a triangle are in the ratio 2:3:72 : 3 : 7.

    Work out the size of the largest angle.
    Level 3 · 3 marksTry it
  5. 5
    A bag of trail mix has a mass of 750750 g.

    36%36\% of the mass of the trail mix is raisins and cranberries.

    mass of raisins : mass of cranberries =5:4= 5 : 4

    Work out the mass of cranberries in the bag.

    (3 marks)
    Level 3 · 3 marksTry it

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