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
    Two people share an amount of money in the ratio 4 : 7. The smaller share is £96. Work out the total amount of money shared.
    Level 4 · 3 marksTry it
  2. 2
    A sum of money is shared between Ali, Beth and Cara in the ratio 2 : 3 : 5. Cara receives £45 more than Ali. Work out the total amount of money shared.
    Level 4 · 4 marksTry it
  3. 3
    A green paint is made by mixing blue paint and yellow paint in the ratio 2 : 3. Blue paint costs £4.00 per litre and yellow paint costs £3.50 per litre.

    Work out the cost of the paint needed to make 20 litres of green paint.
    Level 4 · 4 marksTry it
  4. 4
    A prize is shared between three people in the ratio 1:4:71 : 4 : 7.

    The largest share is £9090 more than the smallest share.

    Work out the total prize.
    Level 4 · 3 marksTry it
  5. 5
    Trail mix is made from nuts and raisins in the ratio 3:23 : 2 by weight.

    Nuts cost £66 per kg. Raisins cost £33 per kg.

    Work out the cost of the ingredients for 44 kg of trail mix.
    Level 4 · 4 marksTry it

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