### The Lily Pond

Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?

### Coordinate Tan

What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?

### A Cartesian Puzzle

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

# Eight Hidden Squares

##### Age 7 to 14 Challenge Level:

On the graph below there are $28$ marked points.

These points all mark the vertices (corners) of eight hidden squares.
Each of the $4$ red points is a vertex shared by two squares.
The other $24$ points are each a vertex of just one square.
All of the squares share just one vertex with another square.
All the squares are different sizes.
There are no marked points on the sides of any square, only at the vertices.

Can you find the eight hidden squares?