Maths Olympiad Prep

Library /Harvard-MIT November Tournament

Harvard-MIT November Tournament

74 problems here, rated 3.9 to 5.8 on our scale (AMC 10/12 to AIME, harder). 57 of them ask for a proof.

Algebra 21Combinatorics 15Geometry 30Number theory 8
#TopicDiffTypeYear
1 Algebra 3.9 answer — open
2 Geometry 4.0 answer — open
3 Number theory 4.1 answer — open
4 Geometry 4.1 answer — open
5 Number theory 4.2 answer — open
6 Geometry 4.3 answer — open
7 Number theory 4.3 answer — open
8 Algebra 4.3 answer — open
9 Algebra 4.3 answer — open
10 Combinatorics 4.4 answer — open
11 Algebra 4.4 answer — open
12 Combinatorics 4.5 answer — open
13 Algebra 4.5 answer — open
14 Number theory 4.6 answer — open
15 Algebra 4.6 proof — open
16 Algebra 4.6 proof — open
17 Algebra 4.7 proof — open
18 Algebra 4.8 proof — open
19 Geometry 4.8 answer — open
20 Geometry 4.8 proof — open
21 Geometry 4.8 proof — open
22 Geometry 4.8 proof — open
23 Combinatorics 4.9 proof — open
24 Geometry 4.9 proof — open
25 Geometry 4.9 proof — open
26 Algebra 4.9 answer — open
27 Geometry 5.0 proof — open
28 Geometry 5.0 proof — open
29 Geometry 5.0 proof — open
30 Combinatorics 5.0 answer — open
31 Geometry 5.0 proof — open
32 Algebra 5.0 proof — open
33 Geometry 5.0 proof — open
34 Algebra 5.0 proof — open
35 Combinatorics 5.0 proof — open
36 Algebra 5.0 proof — open
37 Geometry 5.1 proof — open
38 Combinatorics 5.1 proof — open
39 Number theory 5.2 proof — open
40 Algebra 5.2 proof — open
41 Geometry 5.2 proof — open
42 Number theory 5.2 proof — open
43 Number theory 5.2 proof — open
44 Combinatorics 5.2 proof — open
45 Geometry 5.2 proof — open
46 Algebra 5.2 proof — open
47 Geometry 5.2 proof — open
48 Number theory 5.2 proof — open
49 Geometry 5.3 proof — open
50 Geometry 5.3 proof — open
51 Geometry 5.3 proof — open
52 Algebra 5.3 proof — open
53 Algebra 5.3 proof — open
54 Combinatorics 5.4 proof — open
55 Geometry 5.4 proof — open
56 Algebra 5.4 proof — open
57 Geometry 5.4 proof — open
58 Combinatorics 5.5 proof — open
59 Algebra 5.5 proof — open
60 Geometry 5.5 proof — open
61 Geometry 5.5 proof — open
62 Combinatorics 5.5 proof — open
63 Combinatorics 5.6 proof — open
64 Algebra 5.6 proof — open
65 Geometry 5.6 proof — open
66 Algebra 5.7 proof — open
67 Combinatorics 5.7 proof — open
68 Geometry 5.7 proof — open
69 Geometry 5.7 proof — open
70 Geometry 5.7 proof — open
71 Geometry 5.7 proof — open
72 Combinatorics 5.7 proof — open
73 Combinatorics 5.8 proof — open
74 Combinatorics 5.8 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.