Symmetry

problem

Symmetric Trace

Age

14 to 16

Challenge level

Points off a rolling wheel make traces. What makes those traces have symmetry?
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

Symmetrical Semaphore

Age

7 to 11

Challenge level

Someone at the top of a hill sends a message in semaphore to a friend in the valley. A person in the valley behind also sees the same message. What is it?
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

Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.
problem

Prime Magic

Age

7 to 16

Challenge level

Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?
problem

Eight Dominoes

Age

7 to 16

Challenge level

Using the 8 dominoes, can you make a square where each of the columns and rows adds up to 8?
problem

Gibraltar Geometry

Age

11 to 14

Challenge level

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?