Library /Serbian Mathematical Olympiad

Serbian Mathematical Olympiad

87 problems here, rated 4.5 to 7.7 on our scale (AIME to National Olympiad, round 2). 87 of them ask for a proof.

Algebra 20Combinatorics 22Geometry 28Number theory 17

#	Topic	Diff	Type	Year
1	Geometry	4.5	proof	—	open
2	Algebra	4.6	proof	—	open
3	Number theory	4.6	proof	—	open
4	Number theory	4.8	proof	—	open
5	Geometry	4.9	proof	—	open
6	Number theory	5.0	proof	—	open
7	Combinatorics	5.1	proof	—	open
8	Number theory	5.1	proof	—	open
9	Algebra	5.3	proof	—	open
10	Geometry	5.4	proof	—	open
11	Geometry	5.4	proof	—	open
12	Number theory	5.5	proof	—	open
13	Algebra	5.5	proof	—	open
14	Geometry	5.5	proof	—	open
15	Geometry	5.5	proof	—	open
16	Algebra	5.5	proof	—	open
17	Combinatorics	5.7	proof	—	open
18	Algebra	5.7	proof	—	open
19	Number theory	5.7	proof	—	open
20	Number theory	5.7	proof	—	open
21	Geometry	5.7	proof	—	open
22	Geometry	5.8	proof	—	open
23	Geometry	5.8	proof	—	open
24	Number theory	5.8	proof	—	open
25	Geometry	5.8	proof	—	open
26	Algebra	5.9	proof	—	open
27	Combinatorics	5.9	proof	—	open
28	Number theory	5.9	proof	—	open
29	Number theory	6.0	proof	—	open
30	Combinatorics	6.0	proof	—	open
31	Algebra	6.1	proof	—	open
32	Algebra	6.1	proof	—	open
33	Number theory	6.1	proof	—	open
34	Geometry	6.1	proof	—	open
35	Combinatorics	6.1	proof	—	open
36	Geometry	6.2	proof	—	open
37	Geometry	6.2	proof	—	open
38	Geometry	6.2	proof	—	open
39	Algebra	6.2	proof	—	open
40	Number theory	6.3	proof	—	open
41	Number theory	6.3	proof	—	open
42	Combinatorics	6.3	proof	—	open
43	Geometry	6.3	proof	—	open
44	Algebra	6.3	proof	—	open
45	Geometry	6.3	proof	—	open
46	Algebra	6.4	proof	—	open
47	Combinatorics	6.4	proof	—	open
48	Combinatorics	6.4	proof	—	open
49	Geometry	6.5	proof	—	open
50	Geometry	6.5	proof	—	open
51	Number theory	6.5	proof	—	open
52	Geometry	6.5	proof	—	open
53	Number theory	6.5	proof	—	open
54	Combinatorics	6.5	proof	—	open
55	Algebra	6.6	proof	—	open
56	Geometry	6.6	proof	—	open
57	Combinatorics	6.7	proof	—	open
58	Number theory	6.7	proof	—	open
59	Algebra	6.7	proof	—	open
60	Algebra	6.7	proof	—	open
61	Combinatorics	6.7	proof	—	open
62	Combinatorics	6.8	proof	—	open
63	Geometry	6.8	proof	—	open
64	Algebra	6.8	proof	—	open
65	Geometry	6.8	proof	—	open
66	Geometry	6.8	proof	—	open
67	Combinatorics	6.8	proof	—	open
68	Combinatorics	6.9	proof	—	open
69	Geometry	7.0	proof	—	open
70	Combinatorics	7.0	proof	—	open
71	Combinatorics	7.0	proof	—	open
72	Algebra	7.0	proof	—	open
73	Geometry	7.2	proof	—	open
74	Geometry	7.2	proof	—	open
75	Number theory	7.2	proof	—	open
76	Combinatorics	7.2	proof	—	open
77	Algebra	7.2	proof	—	open
78	Algebra	7.2	proof	—	open
79	Combinatorics	7.3	proof	—	open
80	Combinatorics	7.3	proof	—	open
81	Algebra	7.3	proof	—	open
82	Geometry	7.3	proof	—	open
83	Combinatorics	7.5	proof	—	open
84	Geometry	7.5	proof	—	open
85	Algebra	7.5	proof	—	open
86	Combinatorics	7.7	proof	—	open
87	Combinatorics	7.7	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.