![Pythagoras Proofs](/sites/default/files/styles/medium/public/thumbnails/content-id-6553-icon.png?itok=1XTSkx91)
Creating and manipulating expressions and formulae
![Pythagoras Proofs](/sites/default/files/styles/medium/public/thumbnails/content-id-6553-icon.png?itok=1XTSkx91)
![What does it all add up to?](/sites/default/files/styles/medium/public/thumbnails/content-id-14953-icon.jpg?itok=9s6qRZ2l)
problem
What does it all add up to?
If you take four consecutive numbers and add them together, the answer will always be even. What else do you notice?
![Always Perfect](/sites/default/files/styles/medium/public/thumbnails/content-04-01-six5-icon.gif?itok=u0FO5nhz)
problem
Always Perfect
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
![The Number Jumbler](/sites/default/files/styles/medium/public/thumbnails/content-id-14314-icon.jpg?itok=lmDl3Y1w)
problem
The Number Jumbler
The Number Jumbler can always work out your chosen symbol. Can you work out how?
![Regular Hexagon Loops](/sites/default/files/styles/medium/public/thumbnails/content-id-11206-icon.png?itok=WYCW9Yq8)
![Square Number Surprises](/sites/default/files/styles/medium/public/thumbnails/content-id-11194-icon.jpg?itok=dQ07kz3Y)
![Fibonacci Surprises](/sites/default/files/styles/medium/public/thumbnails/content-id-11164-icon.png?itok=MkOhkYT5)
problem
Fibonacci Surprises
Play around with the Fibonacci sequence and discover some surprising results!
![Puzzling Place Value](/sites/default/files/styles/medium/public/thumbnails/content-id-11215-icon.jpg?itok=W_Wbj9nq)
![Reversals](/sites/default/files/styles/medium/public/thumbnails/content-id-11118-icon.png?itok=xcA6AvTn)
![Beach Huts](/sites/default/files/styles/medium/public/thumbnails/content-id-11008-icon.png?itok=y7UlgTmV)