Right-angled triangles: past paper questions

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• Question 22May/June 2026, paper 22Structured8 marksHas a diagram

  The diagram shows a triangular garden $ABD$. A path from $A$ meets $BD$ at point $C$. $CD=8\text{ m}$, angle $ADC={18}^{\circ }$, angle $ACB={34}^{\circ }$ and angle $ABC={90}^{\circ }$.

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• Question 25Oct/Nov 2025, paper 21Structured6 marks

  The diagram shows a cuboid.

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• Question 9Oct/Nov 2024, paper 21Structured10 marksHas a diagram

  $ABD$ is a triangle. $C$ is a point on $BD$ and $E$ is a point on $AD$. $AB$ is parallel to $EC$ and $CD=DE$.

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• Question 9Oct/Nov 2023, paper 22Structured11 marksHas a diagram

  $ABCD$ is a rectangular field. $C$ is due south of $A$. $AB=450\text{ m}$ and $BC=210\text{ m}$.

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• Question 22Oct/Nov 2025, paper 22Structured10 marksHas a diagram

  $ABCD$ is a field. A straight path crosses the field from $B$ to $D$. Calculate $AB$.

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• Question 9Oct/Nov 2024, paper 22Structured10 marksHas a diagram

  $A$, $B$, $C$ and $D$ are points on a circle, centre $O$. $AOD$ and $OCE$ are straight lines. $DE$ is a tangent to the circle at $D$.

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• Question 11May/June 2023, paper 21Structured9 marksHas a diagram

  The diagram shows an open container on a horizontal surface. The container is a prism with trapezium $ABCD$ as its cross-section. $AB=28\text{ cm}$, $DC=24\text{ cm}$, $AD=16\text{ cm}$ and $BF=29\text{ cm}$.

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• Question 7May/June 2024, paper 21Structured10 marksHas a diagram

  A cuboid has dimensions 5 cm by 12 cm by $h$ cm. The volume of the cuboid is $480{\text{ cm}}^3$. Calculate the value of $h$.

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• Question 10May/June 2024, paper 22Structured7 marksHas a diagram

  The diagram shows a pentagon. Calculate the interior angle $B$.

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