## National Flags

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

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

What can you see? What do you notice? What questions can you ask?...

Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD....

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?...

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37....

Try continuing these patterns made from triangles. Can you create your own repeating pattern?...

Observe symmetries and engage the power of substitution to solve complicated equations....

What do you get when you raise a quadratic to the power of a quadratic?...

Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2....

Five equations and five unknowns. Is there an easy way to find the unknown values?...