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0580/12 Feb/Mar 2025, Question 5: Lines of Symmetry

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks

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The question, in short

On a 12-sided shape, draw every line of symmetry, then shade one square on a 5 by 5 grid so the pattern has rotational symmetry of order 2.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Draw all lines of symmetry on the given 12-sided shape.

  1. 1The shape is the same on the left and right: draw the vertical line through the centre
  2. 2It is the same top and bottom: draw the horizontal line through the centre
  3. 3There are no diagonal lines of symmetry

Answer2 correct lines of symmetry drawn (one vertical and one horizontal through the centre)

Part (b) · 1 mark

Shade one square in the 5 by 5 grid so the diagram has rotational symmetry of order 2.

  1. 1Rotate each shaded square 180° about the centre square
  2. 2The shaded square in row 4, column 3 has no partner
  3. 3Shade its partner: row 2, column 3

Answer1 square correctly shaded: row 2 from the top, column 3 from the left (the middle square of the second row)

Stuck on a step? Read the free lesson: Lines of Symmetry

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Also searched as: 0580/12/F/M/25 · 0580_m25_qp_12 · 0580 m25 12 · question 5.
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