Most students trying contest problems for the first time find them difficult because they're not usually standard problems from math class. They often require a bit of creativity or a particular perspective. But once you get a bit of practice with them, they tend to become more approachable.

The following are old contest problems that I've selected because they're a bit more approachable: they don't require crazy theorems or too much creativity. Give them a try and then click on each problem to see a video explanation of its solution.