Working systematically

It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?

Can you find a way to prove the trig identities using a diagram?

This Sudoku problem consists of a pair of linked standard Sudoku puzzles each with some starting digits.

How high will a ball taking a million seconds to fall travel?

Can you use numerical methods to solve this equation to 1 decimal place?

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?

Can you rotate a curve to make a volume of 1?

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?