Symmetry

problem
Poly plug pattern

Age

5 to 7

Challenge level

Create a pattern on the small grid. How could you extend your pattern on the larger grid?
problem
Colouring triangles

Age

5 to 7

Challenge level

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
problem
Animated triangles

Age

5 to 7

Challenge level

Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?
problem
Triangle shapes

Age

5 to 11

Challenge level

This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
problem
Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
A Cartesian puzzle

Age

7 to 11

Challenge level

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
problem
Coordinate challenge

Age

7 to 11

Challenge level

Use the clues about the symmetrical properties of these letters to place them on the grid.
problem
Tiles in a public building

Age

7 to 11

Challenge level

What is the same and what is different about these tiling patterns and how do they contribute to the floor as a whole?
problem
Counters in the middle

Age

7 to 11

Challenge level

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
problem
National flags

Age

7 to 11

Challenge level

This problem explores the shapes and symmetries in some national flags.