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Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

Tangram Tangle

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

Triangle Animals

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Junior Frogs

Age 5 to 11 Challenge Level:

This challenge is based on the game Frogs which you may have seen before. 

There are two blue frogs and two red frogs.

A frog can jump over one other frog onto an empty lilypad or it can slide onto an empty lilypad which is immediately next to it.  
Only one frog, at a time, is allowed on each lilypad.
Now the idea is for the blue frogs and red frogs to change places.  So, the red frogs will end up on the side where the blue frogs started and the blue frogs will end up where the red frogs began.

The challenge is to do this in as few slides and jumps as possible. 
You could use the interactivity below to help you try out your ideas.

How do you know you have found the smallest possible number of slides and jumps?

Why not try three red frogs and three blue?  
What is the smallest number of slides and jumps now?