Maths Olympiad Prep

Library /IMO Team Selection Test

IMO Team Selection Test

20 problems here, rated 7.6 to 9.2 on our scale (National Olympiad, round 2 to IMO level). 20 of them ask for a proof.

Algebra 4Combinatorics 5Geometry 7Number theory 4
#TopicDiffTypeYear
1 Algebra 7.6 proof — open
2 Geometry 7.7 proof — open
3 Algebra 7.7 proof — open
4 Number theory 7.9 proof — open
5 Algebra 8.2 proof — open
6 Combinatorics 8.3 proof — open
7 Algebra 8.3 proof — open
8 Geometry 8.4 proof — open
9 Geometry 8.4 proof — open
10 Geometry 8.4 proof — open
11 Combinatorics 8.4 proof — open
12 Geometry 8.5 proof — open
13 Geometry 8.5 proof — open
14 Combinatorics 8.6 proof — open
15 Number theory 8.6 proof — open
16 Number theory 8.7 proof — open
17 Geometry 8.8 proof — open
18 Number theory 8.8 proof — open
19 Combinatorics 9.1 proof — open
20 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.