Maths Olympiad Prep

Library /Annual Harvard-MIT Mathematics Tournament

Annual Harvard-MIT Mathematics Tournament

72 problems here, rated 4 to 6.1 on our scale (AIME to National Olympiad). 57 of them ask for a proof.

Algebra 21Combinatorics 23Geometry 17Number theory 11
#TopicDiffTypeYear
1 Number theory 4.0 answer — open
2 Geometry 4.1 answer — open
3 Geometry 4.1 answer — open
4 Algebra 4.2 answer — open
5 Geometry 4.2 answer — open
6 Combinatorics 4.4 answer — open
7 Algebra 4.5 answer — open
8 Geometry 4.5 proof — open
9 Number theory 4.6 answer — open
10 Geometry 4.6 proof — open
11 Combinatorics 4.7 answer — open
12 Combinatorics 4.7 answer — open
13 Algebra 4.7 answer — open
14 Combinatorics 4.7 answer — open
15 Combinatorics 4.8 proof — open
16 Combinatorics 4.9 answer — open
17 Algebra 4.9 proof — open
18 Algebra 4.9 proof — open
19 Algebra 4.9 proof — open
20 Algebra 4.9 proof — open
21 Algebra 4.9 proof — open
22 Geometry 4.9 proof — open
23 Combinatorics 5.0 proof — open
24 Combinatorics 5.0 proof — open
25 Algebra 5.0 proof — open
26 Combinatorics 5.0 proof — open
27 Algebra 5.0 proof — open
28 Number theory 5.0 proof — open
29 Geometry 5.0 proof — open
30 Number theory 5.0 proof — open
31 Combinatorics 5.0 proof — open
32 Combinatorics 5.0 proof — open
33 Combinatorics 5.0 proof — open
34 Geometry 5.0 proof — open
35 Combinatorics 5.0 proof — open
36 Number theory 5.1 proof — open
37 Algebra 5.1 proof — open
38 Number theory 5.1 proof — open
39 Algebra 5.1 proof — open
40 Combinatorics 5.1 proof — open
41 Algebra 5.1 proof — open
42 Algebra 5.2 proof — open
43 Geometry 5.2 proof — open
44 Algebra 5.2 answer — open
45 Geometry 5.2 proof — open
46 Number theory 5.2 proof — open
47 Combinatorics 5.2 proof — open
48 Geometry 5.2 proof — open
49 Combinatorics 5.3 answer — open
50 Algebra 5.3 proof — open
51 Geometry 5.3 proof — open
52 Algebra 5.3 proof — open
53 Number theory 5.3 proof — open
54 Algebra 5.3 proof — open
55 Geometry 5.3 proof — open
56 Number theory 5.4 proof — open
57 Combinatorics 5.4 proof — open
58 Algebra 5.5 proof — open
59 Combinatorics 5.5 proof — open
60 Combinatorics 5.5 proof — open
61 Algebra 5.5 proof — open
62 Combinatorics 5.5 proof — open
63 Combinatorics 5.6 proof — open
64 Number theory 5.7 proof — open
65 Combinatorics 5.7 proof — open
66 Geometry 5.7 proof — open
67 Geometry 5.7 proof — open
68 Geometry 5.7 proof — open
69 Combinatorics 5.7 proof — open
70 Geometry 5.8 proof — open
71 Number theory 5.9 proof — open
72 Algebra 6.1 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.