Mensuration: past paper questions

Where the questions come from

• Question 4May/June 2026, paper 12Structured1 markHas a diagram

  The diagram shows a shape drawn on a $1{\text{ cm}}^2$ grid. By counting squares, estimate the area of the shape.

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• Question 27Oct/Nov 2025, paper 11Structured3 marksHas a diagram

  The diagram shows a semicircle. The radius of the semicircle is $8\text{ cm}$. Find the perimeter of the semicircle.

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• Question 2Oct/Nov 2024, paper 11Structured1 mark

  Change 6.7 kilometres to metres. Change 6.7 kilometres to metres.

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• Question 17Oct/Nov 2023, paper 11Structured2 marks

  The circumference of a circle is $59\text{ cm}$. Calculate the radius of the circle.

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• Question 8May/June 2026, paper 12Structured1 markHas a diagram

  Work out the area of the triangle.

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• Question 17Oct/Nov 2025, paper 12Structured2 marksHas a diagram

  Calculate the area of this trapezium.

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• Question 11Oct/Nov 2024, paper 11Structured3 marks

  The circumference of a wheel is $198.55\text{ cm}$. Calculate the diameter of the wheel.

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• Question 20Oct/Nov 2023, paper 11Structured2 marksHas a diagram

  Find the area of this trapezium.

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• Question 11May/June 2026, paper 12Structured2 marks

  Complete these statements.

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• Question 5Oct/Nov 2025, paper 13Structured4 marksHas a diagram

  The diagram shows quadrilateral $ABCD$ on a $1{\text{ cm}}^2$ grid. Write down the coordinates of point $B$.

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• Question 16Oct/Nov 2024, paper 11Structured2 marks

  The diagram shows a trapezium with parallel sides of length $12\text{ cm}$ and $w\text{ cm}$. The height of the trapezium is $8\text{ cm}$. The area of the trapezium is $78{\text{ cm}}^2$.

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• Question 24Oct/Nov 2023, paper 11Structured3 marks

  Change $1.2{\text{ m}}^2$ into ${\text{mm}}^2$.

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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 15Oct/Nov 2025, paper 13Structured2 marks

  Complete each statement.

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• Question 18Oct/Nov 2024, paper 11Structured4 marksHas a diagram

  The diagram shows a rectangle and two points, $P$ and $C$, on a $1{\text{ cm}}^2$ grid. Write down the coordinates of point $C$.

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• Question 25Oct/Nov 2023, paper 11Structured2 marks

  Calculate the area of a semicircle with radius $10\text{ cm}$.

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• Question 23May/June 2026, paper 12Structured2 marks

  The circumference of a circle is $18\pi \text{ cm}$. Work out the radius of the circle.

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• Question 18Oct/Nov 2025, paper 13Structured2 marks

  The diameter of a circle is 16cm. Find the area of the circle.

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• Question 14Oct/Nov 2024, paper 12Structured2 marks

  The diagram shows a trapezium. The area of the trapezium is $42{\text{ cm}}^2$. Calculate the value of $x$.

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• Question 10Oct/Nov 2023, paper 12Structured1 mark

  Change 62 000 millimetres into kilometres. Change 62 000 millimetres into kilometres.

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• Question 14May/June 2026, paper 13Structured5 marksHas a diagram

  The diagram shows a right-angled triangular prism. On the $1{\text{ cm}}^2$ grid, complete the net of this prism.

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• Question 1Oct/Nov 2025, paper 31Structured2 marks

  Measure the length of line $AB$ in centimetres.

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• Question 20Oct/Nov 2024, paper 12Structured3 marksHas a diagram

  Points $A$ and $B$ lie on a circle, centre $O$ and radius $r$. The area of the circle is $120{\text{ cm}}^2$. Find the area of the right-angled triangle $AOB$.

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• Question 17Oct/Nov 2023, paper 12Structured4 marksHas a diagram

  $A$, $B$ and $C$ are points on a circle, centre $O$. Draw a tangent to the circle at point $A$.

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• Question 16May/June 2026, paper 13Structured2 marks

  The area of a circle is $36\pi {\text{ cm}}^2$. Find the radius of the circle.

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• Question 13Oct/Nov 2025, paper 31Structured6 marksHas a diagram

  The surface area of a solid cube is $121.5{\text{ cm}}^2$. Calculate the length of the side of the cube.

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• Question 10Oct/Nov 2024, paper 13Structured2 marks

  The surface area of a cube is $121.5{\text{ cm}}^2$. Calculate the length of one side of the cube.

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• Question 8Oct/Nov 2023, paper 13Structured2 marks

  The surface area of a cube is $73.5{\text{ cm}}^2$. Find the length of one side of the cube.

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• Question 17May/June 2026, paper 13Structured1 mark

  Convert $850{\text{ cm}}^3$ into litres. Convert $850{\text{ cm}}^3$ into litres.

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• Question 7Oct/Nov 2024, paper 31Structured11 marksHas a diagram

  Find the perimeter of the triangle.

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