Maths Olympiad Prep

Library /USA IMO

USA IMO

23 problems here, rated 7.5 to 9.1 on our scale (National olympiad, round 2 to IMO level). 22 of them ask for a proof.

Algebra 7Combinatorics 6Geometry 7Number theory 3
#TopicDiffTypeYear
1 Algebra 7.5 answer open
2 Geometry 7.7 proof 2003 open
3 Number theory 7.7 proof 2003 open
4 Geometry 7.7 proof open
5 Algebra 7.9 proof 2003 open
6 Algebra 7.9 proof open
7 Algebra 8.1 proof open
8 Number theory 8.2 proof open
9 Algebra 8.3 proof open
10 Algebra 8.4 proof 2003 open
11 Geometry 8.4 proof 2003 open
12 Algebra 8.6 proof 2003 open
13 Combinatorics 8.6 proof open
14 Combinatorics 8.6 proof open
15 Geometry 8.7 proof open
16 Geometry 8.8 proof open
17 Combinatorics 8.8 proof open
18 Number theory 8.8 proof open
19 Combinatorics 8.9 proof 2003 open
20 Combinatorics 8.9 proof 2003 open
21 Geometry 8.9 proof open
22 Geometry 9.1 proof 2003 open
23 Combinatorics 9.1 proof 2003 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.