Library /Harvard-MIT Math Tournament

Harvard-MIT Math Tournament

94 problems here, rated 3.7 to 5.8 on our scale (AMC 10/12 to AIME, harder). 64 of them ask for a proof.

Algebra 16Combinatorics 32Geometry 31Number theory 15

#	Topic	Diff	Type	Year
1	Geometry	3.7	answer	—	open
2	Geometry	3.7	answer	—	open
3	Algebra	3.8	answer	—	open
4	Algebra	3.9	answer	—	open
5	Algebra	4.0	answer	—	open
6	Algebra	4.0	answer	—	open
7	Algebra	4.1	answer	—	open
8	Geometry	4.1	answer	—	open
9	Geometry	4.1	answer	—	open
10	Combinatorics	4.2	proof	—	open
11	Combinatorics	4.2	answer	—	open
12	Combinatorics	4.2	answer	—	open
13	Algebra	4.2	answer	—	open
14	Algebra	4.2	answer	—	open
15	Combinatorics	4.2	answer	—	open
16	Algebra	4.3	proof	—	open
17	Number theory	4.3	answer	—	open
18	Number theory	4.3	answer	—	open
19	Algebra	4.3	answer	—	open
20	Algebra	4.3	proof	—	open
21	Number theory	4.4	answer	—	open
22	Geometry	4.5	answer	—	open
23	Combinatorics	4.5	proof	—	open
24	Combinatorics	4.5	answer	—	open
25	Combinatorics	4.5	answer	—	open
26	Geometry	4.5	proof	—	open
27	Geometry	4.5	proof	—	open
28	Geometry	4.6	answer	—	open
29	Geometry	4.6	proof	—	open
30	Combinatorics	4.6	proof	—	open
31	Geometry	4.6	proof	—	open
32	Algebra	4.6	proof	—	open
33	Geometry	4.6	proof	—	open
34	Number theory	4.6	proof	—	open
35	Combinatorics	4.7	proof	—	open
36	Combinatorics	4.7	answer	—	open
37	Geometry	4.7	proof	—	open
38	Geometry	4.7	proof	—	open
39	Algebra	4.7	proof	—	open
40	Combinatorics	4.7	proof	—	open
41	Combinatorics	4.7	answer	—	open
42	Combinatorics	4.8	answer	—	open
43	Combinatorics	4.8	answer	—	open
44	Number theory	4.8	proof	—	open
45	Combinatorics	4.8	answer	—	open
46	Geometry	4.8	proof	—	open
47	Number theory	4.8	proof	—	open
48	Number theory	4.8	proof	—	open
49	Geometry	4.8	proof	—	open
50	Combinatorics	4.8	answer	—	open
51	Geometry	4.8	proof	—	open
52	Number theory	4.8	proof	—	open
53	Geometry	4.8	proof	—	open
54	Combinatorics	4.9	proof	—	open
55	Geometry	4.9	proof	—	open
56	Combinatorics	4.9	proof	—	open
57	Geometry	5.0	proof	—	open
58	Geometry	5.0	proof	—	open
59	Number theory	5.0	answer	—	open
60	Combinatorics	5.0	proof	—	open
61	Geometry	5.0	proof	—	open
62	Geometry	5.0	proof	—	open
63	Geometry	5.0	proof	—	open
64	Algebra	5.0	proof	—	open
65	Geometry	5.0	answer	—	open
66	Geometry	5.0	proof	—	open
67	Number theory	5.1	proof	—	open
68	Number theory	5.1	proof	—	open
69	Number theory	5.1	proof	—	open
70	Algebra	5.1	proof	—	open
71	Combinatorics	5.1	proof	—	open
72	Number theory	5.1	proof	—	open
73	Combinatorics	5.1	proof	—	open
74	Combinatorics	5.2	proof	—	open
75	Combinatorics	5.2	proof	—	open
76	Geometry	5.2	proof	—	open
77	Geometry	5.3	proof	—	open
78	Combinatorics	5.3	proof	—	open
79	Geometry	5.3	proof	—	open
80	Combinatorics	5.4	proof	—	open
81	Combinatorics	5.4	proof	—	open
82	Number theory	5.4	proof	—	open
83	Combinatorics	5.4	proof	—	open
84	Algebra	5.4	proof	—	open
85	Combinatorics	5.4	proof	—	open
86	Combinatorics	5.5	proof	—	open
87	Number theory	5.5	proof	—	open
88	Combinatorics	5.5	proof	—	open
89	Combinatorics	5.5	proof	—	open
90	Geometry	5.6	proof	—	open
91	Algebra	5.7	proof	—	open
92	Geometry	5.7	proof	—	open
93	Combinatorics	5.7	proof	—	open
94	Geometry	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.