Symmetry

There are 72 NRICH Mathematical resources connected to Symmetry
Shape Draw
problem
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Shape draw

Age
7 to 11
Challenge level
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Use the information on these cards to draw the shape that is being described.

ReflectoR ! RotcelfeR
problem
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Reflector ! rotcelfer

Age
7 to 11
Challenge level
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Can you place the blocks so that you see the reflection in the picture?

National Flags
problem
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National flags

Age
7 to 11
Challenge level
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This problem explores the shapes and symmetries in some national flags.
Poly Plug Pattern
problem
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Poly plug pattern

Age
5 to 7
Challenge level
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Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Attractive Tablecloths
problem
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Attractive tablecloths

Age
14 to 16
Challenge level
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Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Exploded Squares
problem
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Exploded squares

Age
5 to 7
Challenge level
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This practical activity challenges you to create symmetrical designs by cutting a square into strips.
Stringy Quads
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Stringy quads

Age
7 to 11
Challenge level
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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

Arclets
problem
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Arclets

Age
14 to 16
Challenge level
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Each of the following shapes is made from arcs of a circle of radius r. What is the perimeter of a shape with 3, 4, 5 and n "nodes".
Colouring Triangles
problem
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Colouring triangles

Age
5 to 7
Challenge level
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Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

A Cartesian Puzzle
problem
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A cartesian puzzle

Age
7 to 11
Challenge level
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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.