Similarity: past paper questions

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• Question 13May/June 2026, paper 12Structured3 marks

  A trapezium, $T$, is drawn on the $1{\text{ cm}}^2$ grid. On the grid, draw a different trapezium that is mathematically similar to trapezium $T$

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• Question 24Oct/Nov 2025, paper 32Structured2 marks

  Triangles ABC and PQR are mathematically similar. Calculate AB.

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• Question 24Oct/Nov 2024, paper 13Structured2 marks

  Shape $A$ is mathematically similar to shape $B$. Calculate the value of $x$.

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• Question 24Oct/Nov 2023, paper 12Structured2 marks

  Triangle $ABC$ is mathematically similar to triangle $DEF$. Calculate the value of $x$.

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• Question 23May/June 2026, paper 33Structured2 marks

  $ABCD$ is mathematically similar to $PQRS$. Calculate $AB$.

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• Question 29Oct/Nov 2025, paper 33Structured4 marks

  The diagram shows two similar triangles, $A$ and $B$. Calculate the value of $x$.

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• Question 7May/June 2024, paper 31Structured14 marks

  The scale drawing shows the position of a castle, $C$. The scale is 1 centimetre represents 2 kilometres. Micah walks at $4.8\text{ km/h}$ for 3 hours on a bearing of ${236}^{\circ }$ from $C$, to his house, $H$.

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• Question 10Oct/Nov 2023, paper 31Structured9 marks

  Triangle $PQR$ is mathematically similar to triangle $UVW$. Calculate $VW$.

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• Question 23May/June 2025, paper 13Structured2 marks

  Rectangle $A$ is mathematically similar to rectangle $B$. Work out the value of $x$.

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• Question 23May/June 2023, paper 11Structured2 marks

  Triangle $ABC$ is similar to triangle $DEF$. Calculate the value of $h$.

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• Question 24May/June 2025, paper 31Structured2 marksHas a diagram

  Triangle $ABC$ is mathematically similar to triangle $UVW$. Calculate $AB$.

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• Question 21May/June 2023, paper 12Structured2 marks

  Triangle $ABC$ is similar to triangle $PQR$. Calculate $QR$.

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• Question 7May/June 2023, paper 33Structured15 marksHas a diagram

  The diagram shows a triangle $ABC$ and a straight line $BCD$. Angle $ACB={108}^{\circ }$. Write down the mathematical name for this type of angle.

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