Maths Olympiad Prep

Library /Selected Problems from Open Contests

Selected Problems from Open Contests

15 problems here, rated 4.5 to 6.8 on our scale (AIME to National Olympiad). 15 of them ask for a proof.

Algebra 2Combinatorics 3Geometry 6Number theory 4
#TopicDiffTypeYear
1 Geometry 4.5 proof — open
2 Geometry 4.7 proof — open
3 Number theory 4.7 proof — open
4 Algebra 4.7 proof — open
5 Algebra 4.7 proof — open
6 Geometry 5.3 proof — open
7 Number theory 5.3 proof — open
8 Geometry 5.3 proof — open
9 Geometry 5.3 proof — open
10 Number theory 5.4 proof — open
11 Geometry 5.5 proof — open
12 Combinatorics 5.9 proof — open
13 Combinatorics 6.5 proof — open
14 Combinatorics 6.6 proof — open
15 Number theory 6.8 proof — open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.