Here the diagram says it all. Can you find the diagram?
Make and prove a conjecture about the cyclic quadrilateral inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
Make and prove a conjecture about the value of the product of the Fibonacci numbers $F_{n+1}F_{n-1}$.
An inequality involving integrals of squares of functions.
Follow the hints and prove Pick's Theorem.
Show that it is rare for a ratio of ratios to be rational.
Can you work out where the blue-and-red brick roads end?
Explore the properties of matrix transformations with these 10 questions.
Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.
