Symmetry: past paper questions

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• Question 16May/June 2026, paper 42Structured9 marksHas a diagram

  $ABCDE$ is a square-based pyramid. $EC$ and $BD$ intersect at $F$. $AF$ is perpendicular to the base $BCDE$.

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• Question 1Oct/Nov 2025, paper 41Structured1 mark

  A quadrilateral has • rotational symmetry of order 2 • two diagonals that are the only lines of symmetry. Write down the geometrical name of this quadrilateral.

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• Question 1May/June 2023, paper 23Structured3 marks

  Complete the statement.

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• Question 3Oct/Nov 2025, paper 42Structured1 mark

  Write down the order of rotational symmetry of a regular decagon.

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• Question 5Oct/Nov 2025, paper 43Structured4 marksHas a diagram

  The diagram shows a regular decagon. $AB$ is a line of symmetry of the decagon. Work out the value of $d$.

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• Question 1May/June 2025, paper 22Structured2 marks

  Shade one more small square so that the diagram has one line of symmetry.

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• Question 3May/June 2025, paper 23Structured2 marksHas a diagram

  The diagram shows a pyramid $ABCDE$ with a square base. $M$ is the centre of the square base. $E$ is vertically above $M$.

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• Question 1May/June 2025, paper 42Structured1 mark

  A quadrilateral has these properties • the diagonals are the only lines of symmetry • it has rotational symmetry of order 2. Write down the mathematical name of this quadrilateral.

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