Library /Berkeley Math Circle

Berkeley Math Circle

105 problems here, rated 3.9 to 5.9 on our scale (AMC 10/12 to AIME, harder). 100 of them ask for a proof.

Algebra 25Combinatorics 29Geometry 29Number theory 22

#	Topic	Diff	Type	Year
1	Geometry	3.9	answer	—	open
2	Algebra	4.0	answer	—	open
3	Algebra	4.0	answer	—	open
4	Geometry	4.2	proof	—	open
5	Combinatorics	4.3	answer	—	open
6	Algebra	4.3	proof	—	open
7	Number theory	4.3	proof	—	open
8	Geometry	4.3	proof	—	open
9	Number theory	4.3	proof	—	open
10	Number theory	4.4	proof	—	open
11	Combinatorics	4.4	answer	—	open
12	Geometry	4.4	proof	—	open
13	Algebra	4.4	proof	—	open
14	Geometry	4.5	proof	—	open
15	Geometry	4.5	proof	—	open
16	Number theory	4.5	proof	—	open
17	Algebra	4.5	proof	—	open
18	Algebra	4.5	proof	—	open
19	Geometry	4.6	proof	—	open
20	Geometry	4.6	proof	—	open
21	Geometry	4.6	proof	—	open
22	Geometry	4.6	proof	—	open
23	Geometry	4.6	proof	—	open
24	Number theory	4.6	proof	—	open
25	Geometry	4.6	proof	—	open
26	Geometry	4.6	proof	—	open
27	Algebra	4.7	proof	—	open
28	Algebra	4.7	proof	—	open
29	Algebra	4.7	proof	—	open
30	Algebra	4.7	proof	—	open
31	Number theory	4.7	proof	—	open
32	Algebra	4.7	proof	—	open
33	Geometry	4.7	proof	—	open
34	Geometry	4.8	proof	—	open
35	Number theory	4.8	proof	—	open
36	Number theory	4.8	proof	—	open
37	Number theory	4.8	proof	—	open
38	Algebra	4.8	proof	—	open
39	Geometry	4.8	proof	—	open
40	Geometry	4.8	proof	—	open
41	Algebra	4.8	proof	—	open
42	Combinatorics	4.8	proof	—	open
43	Geometry	4.8	proof	—	open
44	Number theory	4.9	proof	—	open
45	Algebra	4.9	proof	—	open
46	Number theory	4.9	proof	—	open
47	Combinatorics	4.9	proof	—	open
48	Combinatorics	4.9	proof	—	open
49	Algebra	4.9	proof	—	open
50	Geometry	4.9	proof	—	open
51	Number theory	4.9	proof	—	open
52	Combinatorics	4.9	proof	—	open
53	Algebra	4.9	proof	—	open
54	Geometry	4.9	proof	—	open
55	Number theory	4.9	proof	—	open
56	Geometry	4.9	proof	—	open
57	Geometry	4.9	proof	—	open
58	Number theory	5.0	proof	—	open
59	Algebra	5.0	proof	—	open
60	Number theory	5.0	proof	—	open
61	Number theory	5.0	proof	—	open
62	Number theory	5.0	proof	—	open
63	Algebra	5.0	proof	—	open
64	Combinatorics	5.0	proof	—	open
65	Combinatorics	5.0	proof	—	open
66	Number theory	5.0	proof	—	open
67	Algebra	5.1	proof	—	open
68	Combinatorics	5.1	proof	—	open
69	Number theory	5.1	proof	—	open
70	Combinatorics	5.1	proof	—	open
71	Geometry	5.1	proof	—	open
72	Number theory	5.2	proof	—	open
73	Combinatorics	5.2	proof	—	open
74	Geometry	5.2	proof	—	open
75	Algebra	5.3	proof	—	open
76	Algebra	5.3	proof	—	open
77	Combinatorics	5.3	proof	—	open
78	Combinatorics	5.3	proof	—	open
79	Geometry	5.3	proof	—	open
80	Combinatorics	5.3	proof	—	open
81	Number theory	5.3	proof	—	open
82	Algebra	5.4	proof	—	open
83	Combinatorics	5.4	proof	—	open
84	Combinatorics	5.4	proof	—	open
85	Geometry	5.4	proof	—	open
86	Algebra	5.4	proof	—	open
87	Combinatorics	5.5	proof	—	open
88	Geometry	5.5	proof	—	open
89	Combinatorics	5.5	proof	—	open
90	Algebra	5.5	proof	—	open
91	Combinatorics	5.5	proof	—	open
92	Combinatorics	5.5	proof	—	open
93	Geometry	5.5	proof	—	open
94	Combinatorics	5.5	proof	—	open
95	Combinatorics	5.6	proof	—	open
96	Combinatorics	5.6	proof	—	open
97	Combinatorics	5.6	proof	—	open
98	Combinatorics	5.6	proof	—	open
99	Combinatorics	5.7	proof	—	open
100	Combinatorics	5.7	proof	—	open
101	Combinatorics	5.7	proof	—	open
102	Geometry	5.7	proof	—	open
103	Combinatorics	5.8	proof	—	open
104	Algebra	5.8	proof	—	open
105	Number theory	5.9	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.