Maths Olympiad Prep

Library /Harvard-MIT November Tournament

Harvard-MIT November Tournament

82 problems here, rated 3.9 to 5.8 on our scale (AMC 10/12 to AIME, harder). 59 of them ask for a proof.

Algebra 23Combinatorics 18Geometry 31Number theory 10
#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 Combinatorics 4.2 answer — open
7 Geometry 4.3 answer — open
8 Number theory 4.3 answer — open
9 Algebra 4.3 answer — open
10 Algebra 4.3 answer — open
11 Combinatorics 4.4 answer — open
12 Number theory 4.4 answer — open
13 Algebra 4.4 answer — open
14 Combinatorics 4.5 answer — open
15 Algebra 4.5 answer — open
16 Algebra 4.5 answer — open
17 Number theory 4.6 answer — open
18 Algebra 4.6 answer — open
19 Algebra 4.6 proof — open
20 Algebra 4.6 proof — open
21 Algebra 4.7 proof — open
22 Algebra 4.8 proof — open
23 Geometry 4.8 answer — open
24 Geometry 4.8 proof — open
25 Number theory 4.8 answer — open
26 Geometry 4.8 proof — open
27 Geometry 4.8 proof — open
28 Combinatorics 4.9 proof — open
29 Geometry 4.9 proof — open
30 Geometry 4.9 proof — open
31 Algebra 4.9 answer — open
32 Geometry 5.0 proof — open
33 Geometry 5.0 proof — open
34 Geometry 5.0 proof — open
35 Combinatorics 5.0 answer — open
36 Geometry 5.0 proof — open
37 Algebra 5.0 proof — open
38 Combinatorics 5.0 answer — open
39 Geometry 5.0 proof — open
40 Algebra 5.0 proof — open
41 Combinatorics 5.0 proof — open
42 Algebra 5.0 proof — open
43 Geometry 5.1 proof — open
44 Geometry 5.1 proof — open
45 Combinatorics 5.1 proof — open
46 Number theory 5.2 proof — open
47 Algebra 5.2 proof — open
48 Geometry 5.2 proof — open
49 Number theory 5.2 proof — open
50 Number theory 5.2 proof — open
51 Combinatorics 5.2 proof — open
52 Geometry 5.2 proof — open
53 Algebra 5.2 proof — open
54 Geometry 5.2 proof — open
55 Number theory 5.2 proof — open
56 Geometry 5.3 proof — open
57 Geometry 5.3 proof — open
58 Geometry 5.3 proof — open
59 Algebra 5.3 proof — open
60 Algebra 5.3 proof — open
61 Combinatorics 5.4 proof — open
62 Geometry 5.4 proof — open
63 Algebra 5.4 proof — open
64 Geometry 5.4 proof — open
65 Combinatorics 5.5 proof — open
66 Algebra 5.5 proof — open
67 Geometry 5.5 proof — open
68 Geometry 5.5 proof — open
69 Combinatorics 5.5 proof — open
70 Combinatorics 5.6 proof — open
71 Combinatorics 5.6 proof — open
72 Algebra 5.6 proof — open
73 Geometry 5.6 proof — open
74 Algebra 5.7 proof — open
75 Combinatorics 5.7 proof — open
76 Geometry 5.7 proof — open
77 Geometry 5.7 proof — open
78 Geometry 5.7 proof — open
79 Geometry 5.7 proof — open
80 Combinatorics 5.7 proof — open
81 Combinatorics 5.8 proof — open
82 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.