Maths Resources GCSE Worksheets

# Rotational Symmetry Worksheet

• Section 1 of the rotational symmetry worksheet contains 27 skills-based rotational symmetry questions, in 3 groups to support differentiation
• Section 2 contains 4 applied rotational symmetry questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 3 foundation and higher level GCSE exam style rotational symmetry questions
• Answers and a mark scheme for all rotational symmetry questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers

Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Rotational symmetry at a glance

If a 2D shape can be rotated and fit directly back on top of itself, it has rotational symmetry. The number of times that it can fit back on top of itself exactly as it completes a full turn about the polygon’s centre is known as its order of rotational symmetry.

For example, an equilateral triangle has rotational symmetry of order 3 as it can fit exactly on top of itself 3 times in 3 orientations. A square has rotational symmetry of order 4, a regular pentagon of order 5 and a regular hexagon of order 6. Any regular polygon has an order of rotational symmetry equal to the number of sides it has.

When finding the order of rotation of an irregular shape, such as an isosceles triangle, a parallelogram, a trapezium or a rhombus, it can be helpful to use tracing paper. We can even find the order of rotational symmetry of more complicated shapes such as snowflakes.

Looking forward, students can then progress to additional symmetry worksheets and other geometry worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet.

For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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