Maths Olympiad Prep

Library /IMO Problem Shortlist

IMO Problem Shortlist

16 problems here, rated 8 to 9.1 on our scale (Shortlist to IMO level). 16 of them ask for a proof.

Algebra 3Combinatorics 5Geometry 5Number theory 3
#TopicDiffTypeYear
1 Algebra 8.0 proof open
2 Combinatorics 8.0 proof open
3 Algebra 8.1 proof open
4 Geometry 8.3 proof open
5 Geometry 8.3 proof open
6 Number theory 8.4 proof open
7 Geometry 8.4 proof open
8 Combinatorics 8.6 proof open
9 Algebra 8.6 proof open
10 Number theory 8.7 proof open
11 Geometry 8.7 proof open
12 Geometry 8.7 proof open
13 Combinatorics 8.8 proof open
14 Number theory 8.9 proof open
15 Combinatorics 9.0 proof open
16 Combinatorics 9.1 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.