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.