Maths Olympiad Prep

Library /USA IMO

USA IMO

32 problems here, rated 7.7 to 9.2 on our scale (National Olympiad, round 2 to IMO level). 32 of them ask for a proof.

Algebra 8Combinatorics 8Geometry 12Number theory 4
#TopicDiffTypeYear
1 Geometry 7.7 proof 2003 open
2 Geometry 7.7 proof open
3 Combinatorics 7.8 proof open
4 Algebra 7.9 proof 2003 open
5 Algebra 7.9 proof open
6 Algebra 7.9 proof open
7 Algebra 7.9 proof open
8 Geometry 8.0 proof open
9 Geometry 8.2 proof open
10 Number theory 8.2 proof open
11 Geometry 8.3 proof open
12 Algebra 8.3 proof open
13 Geometry 8.3 proof open
14 Algebra 8.4 proof 2003 open
15 Geometry 8.4 proof 2003 open
16 Algebra 8.6 proof 2003 open
17 Combinatorics 8.6 proof open
18 Combinatorics 8.6 proof open
19 Algebra 8.6 proof open
20 Geometry 8.7 proof open
21 Number theory 8.7 proof open
22 Geometry 8.8 proof open
23 Number theory 8.8 proof open
24 Combinatorics 8.8 proof open
25 Number theory 8.8 proof open
26 Combinatorics 8.9 proof 2003 open
27 Geometry 8.9 proof open
28 Geometry 9.1 proof 2003 open
29 Combinatorics 9.1 proof 2003 open
30 Geometry 9.1 proof open
31 Combinatorics 9.2 proof open
32 Combinatorics 9.2 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.