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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?

Fred the Class Robot

Age 7 to 11
Challenge Level
Perhaps it would help to draw out what Fred is doing on squared paper?
Have you counted the number of sides of each shape and looked at the angles? You might like to move your paper around to help you see what each shape is.