![Pythagoras Proofs](/sites/default/files/styles/medium/public/thumbnails/content-id-6553-icon.png?itok=1XTSkx91)
Similarity and congruence
![Pythagoras Proofs](/sites/default/files/styles/medium/public/thumbnails/content-id-6553-icon.png?itok=1XTSkx91)
![Triangle in a Trapezium](/sites/default/files/styles/medium/public/thumbnails/content-id-11480-icon.png?itok=bxrD6jCV)
problem
Triangle in a Trapezium
Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?
![The square under the hypotenuse](/sites/default/files/styles/medium/public/thumbnails/content-id-11581-icon.jpg?itok=d2ovjtK5)
problem
The square under the hypotenuse
Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
![Kite in a Square](/sites/default/files/styles/medium/public/thumbnails/content-id-8301-icon.png?itok=k5PyV7gm)
problem
Kite in a Square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
![Pinhole Camera](/sites/default/files/styles/medium/public/thumbnails/content-id-8041-icon.png?itok=Ag5ysJcf)
problem
Pinhole Camera
Make your own pinhole camera for safe observation of the sun, and find out how it works.
![Stadium Sightline](/sites/default/files/styles/medium/public/thumbnails/content-id-7484-icon.jpg?itok=_Pn42N3A)
problem
Stadium Sightline
How would you design the tiering of seats in a stadium so that all spectators have a good view?
![Fit for photocopying](/sites/default/files/styles/medium/public/thumbnails/content-id-7385-icon.jpg?itok=z3gOmtYd)
![It depends on your point of view!](/sites/default/files/styles/medium/public/thumbnails/content-id-7023-icon.png?itok=kKSsaJfi)
problem
It depends on your point of view!
Anamorphic art is used to create intriguing illusions - can you
work out how it is done?
![Folding Fractions](/sites/default/files/styles/medium/public/thumbnails/content-id-6473-icon.png?itok=uhV9qrJI)
problem
Folding Fractions
What fractions can you divide the diagonal of a square into by simple folding?
![Making sixty](/sites/default/files/styles/medium/public/thumbnails/content-id-6355-icon.jpg?itok=Xw2Ms5tr)