### 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.

# Dotty Relationship

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

Thank you to those of you who sent in solutions.

Several of you including Shuaib correctly identified that the lines AB and CD cross at $90$ degrees. Flora observes that the number of squares horizontally and vertically are swapped around when you draw a perpendicular line:

They are the same number of squares although the number of squares has been rotated.

Flora goes on to observe that there is more than one solution each time :

because perpendicular lines can be any distance apart.

Alden and Jimmy from Woodstock Primary correctly point out that :

They do not have to be the same length because they can be any length as long as it's a $90$ degree angle.