In this short challenge, can you use angle properties in a circle to figure out some trig identities?
An arithmetic progression is shifted and shortened, but its sum remains the same...
How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?
Explore the strange geometrical properties of the Koch Snowflake.
Find the positive integer solutions of the equation (1+1/a)(1+1/b)(1+1/c) = 2
At what angle should you throw something to maximise the distance it travels?
Two cannons are fired at one another and the cannonballs collide... what can you deduce?
