Ratio and proportion: past paper questions

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• Question 4May/June 2026, paper 43Structured2 marks

  Kit and Jo are changing some money.

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• Question 1Oct/Nov 2025, paper 21Structured2 marks

  Divide $90 in the ratio 2 : 3. Divide $90 in the ratio 2 : 3.

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• Question 7Oct/Nov 2023, paper 21Structured1 mark

  The exchange rate between Singapore dollars and euros is $1\text{ Singapore dollar}=0.62\text{ euros}$. Find the value of $161.20\text{ euros}$ in Singapore dollars.

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• Question 21Oct/Nov 2025, paper 23Structured4 marksHas a diagram

  The diagram shows a cyclic quadrilateral. The ratio $p:m=2:3$. Find the value of $y$.

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• Question 1Oct/Nov 2024, paper 43Structured9 marks

  Dinari sells fruit and vegetables. One day the mass of fruit and vegetables he sells is in the ratio $\text{fruit}:\text{vegetables}=9:8$. He sells $48\text{ kg}$ of vegetables.

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• Question 3Oct/Nov 2023, paper 41Structured14 marks

  The table shows information about some of the planets in the solar system.

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• Question 7May/June 2024, paper 23Structured2 marks

  The scale of a map is $1:40000$. On the map the distance between two villages is $37\text{ cm}$. Calculate the actual distance between the two villages.

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• Question 1Oct/Nov 2023, paper 43Structured12 marks

  The table shows the amount received when exchanging 100 in some countries.

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• Question 3May/June 2025, paper 42Structured3 marks

  Mass of box $A$ : Mass of box $B=4:7$ The mass of box $B$ is $2.4\text{ kg}$ more than the mass of box $A$. Calculate the mass of box $A$ and the mass of box $B$.

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• Question 1May/June 2024, paper 41Structured15 marks

  The table shows the areas, in ${\mathrm{k}\mathrm{m}}^2$, of the four largest rainforests in the world.

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• Question 7May/June 2023, paper 21Structured2 marks

  The scale of a map is $1:125000$. On a map, the length of an island is $9.4\text{ cm}$. Calculate the actual length of the island, giving your answer in kilometres.

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• Question 1May/June 2024, paper 42Structured12 marksHas a diagram

  A fruit drink is made using 1.5 litres of apple juice and 450 millilitres of mango juice. Write the ratio apple juice : mango juice in its simplest form.

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• Question 1May/June 2023, paper 41Structured13 marks

  An orchard has 1250 trees. The trees are in the ratio $\text{apple}:\text{pear}:\text{cherry}=12:9:4$. Calculate the number of apple trees.

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• Question 1May/June 2024, paper 43Structured13 marks

  In 2023 a football club had 50 adult members and 70 child members. The membership fee for an adult was $40 and the membership fee for a child was $15. Calculate the total of the membership fees received by the club in 2023.

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• Question 1May/June 2023, paper 43Structured11 marks

  Tomas sells a computer, a bike and a phone. The amounts he receives are in the ratio computer : bike : phone = 14 : 17 : 9. Calculate the amount he receives for the phone as a percentage of the total.

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