### 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?

### 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.

### Transformation Tease

What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?

# Coordinate Tan

##### Age 7 to 11 Challenge Level:

Martha from Tattingstone School sent us a lovely solution for this. She had obviously worked very hard and done some deep thinking.

 1) ( 2, -2) 2) (3.5 , -0.5) 3) (5 , 1) 4) (5 , -2) 5) (3.5 , -3.5) 6) (2 , -5) 7) (-1 , -5) 8) (-1 , 1) 9) (0.5 , 3.5) 10) (5 , -5)
 1) ( -2, 2) 2) (-0.5 , 3.5) 3) (1 ,5) 4) (1 ,2) 5) (-0.5 , 0.5) 6) (-2 ,-1) 7) (-5 ,-1) 8) (-5 ,5) 9) (-3.5 ,0.5) 10) (1 ,-1)

Can you see why the numbers 'swapped around' for the points that Martha has labelled 1, 2 and 3? Can you see why the others are all 'four away from the others'? What does Martha mean by 'swapped around' and 'four away from'? Can you think of a clearer way of saying it?