Maths Olympiad Prep

Library /IMO Team Selection Contest

IMO Team Selection Contest

21 problems here, rated 7 to 9 on our scale (National Olympiad, round 2 to IMO level). 21 of them ask for a proof.

Algebra 5Combinatorics 5Geometry 3Number theory 8
#TopicDiffTypeYear
1 Algebra 7.0 proof — open
2 Number theory 7.3 proof — open
3 Number theory 7.7 proof — open
4 Geometry 7.7 proof — open
5 Algebra 7.7 proof — open
6 Algebra 7.8 proof — open
7 Number theory 7.9 proof — open
8 Number theory 8.1 proof — open
9 Algebra 8.1 proof — open
10 Geometry 8.2 proof — open
11 Combinatorics 8.3 proof — open
12 Algebra 8.3 proof — open
13 Number theory 8.3 proof — open
14 Geometry 8.4 proof — open
15 Number theory 8.8 proof — open
16 Combinatorics 8.8 proof — open
17 Combinatorics 8.8 proof — open
18 Combinatorics 8.8 proof — open
19 Combinatorics 9.0 proof — open
20 Number theory 9.0 proof — open
21 Number theory 9.0 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.