Area and perimeter: past paper questions

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

  Find the area of this trapezium.

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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 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 5May/June 2023, paper 32Structured11 marksHas a diagram

  This rectangle has an area of $12{\text{ cm}}^2$ and a perimeter of $16\text{ cm}$. This shape is made from six of these rectangles. Find the area and perimeter of this shape.

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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 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 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 3May/June 2023, paper 33Structured13 marksHas a diagram

  The diagram shows a shape on a $1{\text{ cm}}^2$ grid. Work out the area of the shape.

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• Question 22May/June 2026, paper 13Structured3 marks

  In this question, all lengths are in centimetres. The area, in ${\text{cm}}^2$, of the rectangle is $5x+8$. Write an equation to show this information and solve it to find the value of $x$.

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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 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 17May/June 2026, paper 31Structured4 marksHas a diagram

  The diagram shows a circle inside a rectangle. The shaded area is $450{\text{ cm}}^2$. Find the radius of the circle.

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• Question 23Oct/Nov 2025, paper 32Structured4 marksHas a diagram

  Calculate the perimeter of this trapezium.

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

  Find the perimeter of the triangle.

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• Question 17May/June 2026, paper 32Structured7 marksHas a diagram

  The diagram shows a compound shape made from two rectangles. Work out the perimeter of the shape.

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• Question 9Oct/Nov 2025, paper 33Structured2 marks

  Find the area of the shape.

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• Question 5Oct/Nov 2024, paper 33Structured11 marksHas a diagram

  Kurt owns some toy cars of different colours. The pictogram shows the number of each colour. Write down the colour of toy car that Kurt owns most of.

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• Question 3May/June 2026, paper 33Structured2 marksHas a diagram

  The diagram shows shapes drawn on a $1{\text{ cm}}^2$ grid. Write down the letter of the shape that is congruent to the shaded shape.

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• Question 13May/June 2025, paper 12Structured6 marks

  A quadrilateral has the geometrical properties • 4 equal length sides • 2 lines of symmetry • rotational symmetry of order 2. Write down the mathematical name of this quadrilateral.

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• Question 5May/June 2024, paper 11Structured1 markHas a diagram

  The diagram shows a shape on a $1{\text{ cm}}^2$ grid. Find the area of this shape.

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• Question 7May/June 2026, paper 33Structured2 marks

  Diagram A shows a square of side $15\text{ cm}$ cut into two pieces. The pieces are rearranged to form diagram B with no overlaps. Find the perimeter of diagram B. Diagram A shows a square of side $15\text{ cm}$ cut into two pieces.

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• Question 16May/June 2025, paper 12Structured11 marksHas a diagram

  The diagram shows a point $P$ and three triangles, $A$, $B$ and $C$, on a $1{\text{ cm}}^2$ grid. Find the area of triangle $B$.

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• Question 14May/June 2025, paper 13Structured2 marksHas a diagram

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

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• Question 3May/June 2024, paper 32Structured12 marksHas a diagram

  The diagram shows four quadrilaterals, $A$, $B$, $C$ and $D$, on a $1{\text{ cm}}^2$ grid. Write down the mathematical name of quadrilateral $A$.

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• Question 21May/June 2025, paper 13Structured4 marks

  In this question, all lengths are in centimetres. The perimeter of the triangle is equal to the perimeter of the rectangle. Form an equation and solve it to find the value of $x$.

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• Question 8May/June 2024, paper 32Structured10 marksHas a diagram

  The diagram shows a plan, $ABCDE$, of the floor of a room in Jo's house. $F$ is a point inside the room. Show that $EF=1.9\text{ m}$.

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