Scale drawings: past paper questions

Where the questions come from

• Question 7May/June 2026, paper 23Structured3 marksHas a diagram

  The diagram shows the position of two towns, $A$ and $B$. The scale is $1\text{ cm}$ represents $2\text{ km}$. Work out the actual distance between $A$ and $B$.

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• Question 5Oct/Nov 2025, paper 41Structured5 marks

  In triangle $ABC$, $AB=8\text{ cm}$, $AC=7\text{ cm}$ and $BC=5\text{ cm}$. Using a ruler and compasses only, construct triangle $ABC$. The side $AB$ has been drawn for you.

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• Question 4Oct/Nov 2024, paper 23Structured3 marksHas a diagram

  The scale drawing shows the positions of town $K$ and town $L$. The scale is $1\text{ cm}$ represents $10\text{ km}$. Find the actual distance between town $K$ and town $L$.

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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 4Oct/Nov 2025, paper 43Structured4 marks

  The scale diagram shows the position of town $A$ on a map. Town $B$ is $12\text{ km}$ from town $A$ on a bearing of ${080}^{\circ }$. Using a scale of $1\text{ cm}$ represents $2\text{ km}$, mark the position of town $B$ on the diagram.

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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 4May/June 2023, paper 22Structured2 marks

  The distance from town $A$ to town $B$ on a map is $3.5\mathrm{c}\mathrm{m}$. The scale on the map is $1:250000$. Find the actual distance, in kilometres, from town $A$ to town $B$.

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• Question 2May/June 2025, paper 22Structured3 marksHas a diagram

  The scale drawing shows the positions of two villages, $P$ and $Q$. The scale is $1\text{ cm}$ represents $0.5\text{ km}$. Find the actual distance between village $P$ and village $Q$.

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• Question 3May/June 2023, paper 43Structured10 marks

  The scale drawing shows two sides, $AB$ and $BC$, of a field. The scale is 5 centimetres represents 200 metres. Measure angle $ABC$.

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• Question 11May/June 2025, paper 41Structured3 marks

  A warehouse has a floor area of $800{\text{ m}}^2$. The plan of the warehouse is drawn to a scale of $1:50$. Calculate the floor area on the plan.

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• Question 2May/June 2025, paper 43Structured3 marks

  In triangle $ABC$, $AC=21\text{ m}$ and $BC=15.9\text{ m}$. Using a ruler and compasses only, complete the scale drawing of the triangle.

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