Maths Olympiad Prep

Library /Harvard-MIT Mathematics Tournament

Harvard-MIT Mathematics Tournament

24 problems here, rated 3.6 to 5 on our scale (AMC 10/12 to AIME, harder). 13 of them ask for a proof.

Algebra 6Combinatorics 2Geometry 12Number theory 4
#TopicDiffTypeYear
1 Geometry 3.6 answer — open
2 Geometry 3.6 answer — open
3 Geometry 3.7 answer — open
4 Algebra 4.1 answer — open
5 Number theory 4.1 answer — open
6 Algebra 4.2 answer — open
7 Geometry 4.3 answer — open
8 Algebra 4.3 answer — open
9 Number theory 4.4 answer — open
10 Geometry 4.4 answer — open
11 Geometry 4.5 proof — open
12 Geometry 4.6 proof — open
13 Algebra 4.7 proof — open
14 Geometry 4.7 proof — open
15 Number theory 4.8 proof — open
16 Combinatorics 4.8 proof — open
17 Number theory 4.9 proof — open
18 Geometry 4.9 proof — open
19 Algebra 4.9 proof — open
20 Geometry 4.9 proof — open
21 Geometry 5.0 proof — open
22 Combinatorics 5.0 answer — open
23 Algebra 5.0 proof — open
24 Geometry 5.0 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.