Library /Harvard-MIT Math Tournament

Harvard-MIT Math Tournament

83 problems here, rated 3.7 to 5.8 on our scale (AMC 10/12 to AIME, harder). 57 of them ask for a proof.

Algebra 13Combinatorics 29Geometry 29Number theory 12

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