How many lines of symmetry does a square have?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
These Symmetry Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Geometry (E4.5) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Identify lines of symmetry, order of rotational symmetry, and (Extended) planes of symmetry of 3-D shapes.
How many lines of symmetry does a square have?
State the order of rotational symmetry of a regular hexagon.
[1 mark]State the number of lines of symmetry of the capital letter H.
[1 mark]State the order of rotational symmetry of the capital letter Z.
[1 mark]Consider a parallelogram that is not a rectangle, rhombus or square.
State the number of lines of symmetry of this parallelogram.
[1 mark]State the order of rotational symmetry of this parallelogram.
[1 mark]Which shape has exactly 1 line of symmetry?
Consider a regular pentagon.
State the number of lines of symmetry of the pentagon.
[1 mark]State the order of rotational symmetry of the pentagon.
[1 mark]Through what angle (in degrees) does the pentagon need to be rotated about its centre to map onto itself for the first time?
[1 mark]How many planes of symmetry does a cuboid with three different edge lengths have?
[2 marks]A regular polygon has lines of symmetry of order 8. State the name of the polygon and the smallest angle of rotation that maps it onto itself.
[2 marks]Everything students ask about Cambridge IGCSE 0580 Symmetry Topical Past Papers.
Top questions students ask on this sub-topic
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