Right-angled triangles: past paper questions

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• Question 26May/June 2026, paper 31Structured2 marks

  The diagram shows a right-angled triangle. Calculate the value of $x$.

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• Question 24Oct/Nov 2025, paper 31Structured3 marks

  $ABC$ is a right-angled triangle. Calculate $BC$.

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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 26Oct/Nov 2025, paper 32Structured2 marksHas a diagram

  Calculate the value of x. Calculate the value of x.

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• Question 4Oct/Nov 2024, paper 32Structured13 marksHas a diagram

  Calculate the volume of a cylinder with radius $7.8\text{ cm}$ and height $15\text{ cm}$.

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• Question 9Oct/Nov 2023, paper 33Structured10 marksHas a diagram

  The diagram shows a semicircle with diameter $AB$. $O$ is the midpoint of $AB$ and $C$ is a point on the circumference. Calculate the area of triangle $ABC$.

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• Question 26May/June 2026, paper 32Structured4 marksHas a diagram

  The diagram shows a right-angled triangle, $PQR$. $S$ lies on side $PR$. Angle $PQS={31}^{\circ }$ and angle $RQS={44}^{\circ }$.

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• Question 30May/June 2025, paper 31Structured2 marksHas a diagram

  The diagram shows a right-angled triangle, $PQR$. Calculate angle $QRP$.

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• Question 22May/June 2023, paper 11Structured2 marksHas a diagram

  The diagram shows a right-angled triangle. Calculate the value of $y$.

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• Question 25May/June 2026, paper 33Structured5 marksHas a diagram

  The diagram shows a circle, centre $O$ and diameter $AC$. $B$ is a point on the circumference of the circle. Give the geometrical reason why angle $ABC={90}^{\circ }$.

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• Question 24May/June 2025, paper 32Structured5 marksHas a diagram

  The diagram shows two right-angled triangles. Calculate the value of $d$.

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• Question 25May/June 2024, paper 12Structured6 marksHas a diagram

  The diagram shows a flagpole, $BD$, held by two ropes, $AD$ and $CD$. $ABC$ is a straight line and angle $ABD={90}^{\circ }$. $AD=21.2\text{ m}$, $AB=16.5\text{ m}$ and angle $BCD={48}^{\circ }$.

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• Question 22May/June 2023, paper 12Structured6 marksHas a diagram

  The diagram shows a right-angled triangle $ABC$. Calculate $AB$.

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• Question 6May/June 2024, paper 31Structured11 marksHas a diagram

  The diagram shows a point, $P$, three triangles, $A$, $B$ and $C$, and part of triangle $D$ on a $1{\text{ cm}}^2$ grid. On the grid, mark the image of point $P$ after a reflection in the line $y=0$.

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