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Linkage

Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?

Making Rectangles, Making Squares

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

The Cyclic Quadrilateral

This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.

Guess my Quad

Age 11 to 14
Challenge Level

When I play "Think of a number" trying to identify a number between 1 and 100, I can start by asking:

"Is it 52?" or "Is it less than 5?", but I usually choose to ask
"Is it even?" or "Is it greater than 50?"

Can you see why I prefer the second set of questions?

Can you find similar questions to ask for "Guess my Quad" game?