Library /Bulgarian Mathematical Competitions

Bulgarian Mathematical Competitions

104 problems here, rated 4.5 to 7.3 on our scale (AIME to National Olympiad, round 2). 104 of them ask for a proof.

Algebra 34Combinatorics 23Geometry 36Number theory 11

#	Topic	Diff	Type	Year
1	Algebra	4.5	proof	—	open
2	Geometry	4.7	proof	—	open
3	Number theory	4.7	proof	—	open
4	Algebra	4.7	proof	—	open
5	Combinatorics	4.7	proof	—	open
6	Algebra	4.7	proof	—	open
7	Geometry	4.8	proof	—	open
8	Algebra	4.8	proof	—	open
9	Algebra	4.9	proof	—	open
10	Number theory	4.9	proof	—	open
11	Algebra	5.0	proof	—	open
12	Algebra	5.0	proof	—	open
13	Number theory	5.0	proof	—	open
14	Geometry	5.0	proof	—	open
15	Combinatorics	5.1	proof	—	open
16	Geometry	5.2	proof	—	open
17	Algebra	5.2	proof	—	open
18	Geometry	5.2	proof	—	open
19	Number theory	5.2	proof	—	open
20	Combinatorics	5.2	proof	—	open
21	Geometry	5.3	proof	—	open
22	Geometry	5.3	proof	—	open
23	Algebra	5.3	proof	—	open
24	Combinatorics	5.3	proof	—	open
25	Geometry	5.4	proof	—	open
26	Algebra	5.4	proof	—	open
27	Geometry	5.4	proof	—	open
28	Geometry	5.4	proof	—	open
29	Geometry	5.5	proof	—	open
30	Geometry	5.5	proof	—	open
31	Geometry	5.5	proof	—	open
32	Algebra	5.5	proof	—	open
33	Algebra	5.5	proof	—	open
34	Algebra	5.5	proof	—	open
35	Geometry	5.6	proof	—	open
36	Algebra	5.6	proof	—	open
37	Number theory	5.6	proof	—	open
38	Algebra	5.6	proof	—	open
39	Combinatorics	5.6	proof	—	open
40	Algebra	5.6	proof	—	open
41	Algebra	5.6	proof	—	open
42	Geometry	5.6	proof	—	open
43	Geometry	5.6	proof	—	open
44	Geometry	5.7	proof	—	open
45	Combinatorics	5.7	proof	—	open
46	Combinatorics	5.7	proof	—	open
47	Combinatorics	5.7	proof	—	open
48	Geometry	5.7	proof	—	open
49	Geometry	5.7	proof	—	open
50	Geometry	5.7	proof	—	open
51	Combinatorics	5.7	proof	—	open
52	Algebra	5.7	proof	—	open
53	Algebra	5.8	proof	—	open
54	Geometry	5.8	proof	—	open
55	Number theory	5.8	proof	—	open
56	Geometry	5.8	proof	—	open
57	Combinatorics	5.8	proof	—	open
58	Geometry	5.8	proof	—	open
59	Geometry	5.9	proof	—	open
60	Algebra	5.9	proof	—	open
61	Number theory	5.9	proof	—	open
62	Geometry	5.9	proof	—	open
63	Geometry	5.9	proof	—	open
64	Geometry	6.0	proof	—	open
65	Algebra	6.0	proof	—	open
66	Algebra	6.0	proof	—	open
67	Geometry	6.1	proof	—	open
68	Algebra	6.2	proof	—	open
69	Combinatorics	6.2	proof	—	open
70	Combinatorics	6.2	proof	—	open
71	Number theory	6.2	proof	—	open
72	Combinatorics	6.2	proof	—	open
73	Algebra	6.3	proof	—	open
74	Algebra	6.4	proof	—	open
75	Geometry	6.4	proof	—	open
76	Algebra	6.5	proof	—	open
77	Number theory	6.5	proof	—	open
78	Algebra	6.5	proof	—	open
79	Geometry	6.5	proof	—	open
80	Combinatorics	6.5	proof	—	open
81	Algebra	6.5	proof	—	open
82	Number theory	6.5	proof	—	open
83	Geometry	6.5	proof	—	open
84	Number theory	6.6	proof	—	open
85	Algebra	6.6	proof	—	open
86	Geometry	6.7	proof	—	open
87	Combinatorics	6.7	proof	—	open
88	Algebra	6.7	proof	—	open
89	Algebra	6.8	proof	—	open
90	Geometry	6.8	proof	—	open
91	Combinatorics	6.9	proof	—	open
92	Combinatorics	6.9	proof	—	open
93	Algebra	6.9	proof	—	open
94	Combinatorics	6.9	proof	—	open
95	Combinatorics	7.0	proof	—	open
96	Geometry	7.0	proof	—	open
97	Geometry	7.0	proof	—	open
98	Combinatorics	7.0	proof	—	open
99	Combinatorics	7.1	proof	—	open
100	Geometry	7.1	proof	—	open
101	Algebra	7.2	proof	—	open
102	Combinatorics	7.2	proof	—	open
103	Combinatorics	7.2	proof	—	open
104	Algebra	7.3	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.