Library /Estonian Mathematical Olympiad

Estonian Mathematical Olympiad

102 problems here, rated 4.5 to 7.8 on our scale (AIME to National Olympiad, round 2). 100 of them ask for a proof.

Algebra 20Combinatorics 24Geometry 29Number theory 29

#	Topic	Diff	Type	Year
1	Number theory	4.5	proof	—	open
2	Geometry	4.6	proof	—	open
3	Number theory	4.8	answer	—	open
4	Number theory	4.9	proof	—	open
5	Algebra	5.0	answer	—	open
6	Number theory	5.0	proof	—	open
7	Geometry	5.1	proof	—	open
8	Combinatorics	5.2	proof	—	open
9	Algebra	5.3	proof	—	open
10	Number theory	5.3	proof	—	open
11	Algebra	5.3	proof	—	open
12	Algebra	5.4	proof	—	open
13	Number theory	5.4	proof	—	open
14	Geometry	5.4	proof	—	open
15	Geometry	5.4	proof	—	open
16	Algebra	5.4	proof	—	open
17	Combinatorics	5.4	proof	—	open
18	Algebra	5.5	proof	—	open
19	Algebra	5.5	proof	—	open
20	Number theory	5.5	proof	—	open
21	Number theory	5.5	proof	—	open
22	Number theory	5.5	proof	—	open
23	Geometry	5.6	proof	—	open
24	Geometry	5.6	proof	—	open
25	Number theory	5.6	proof	—	open
26	Algebra	5.6	proof	—	open
27	Geometry	5.6	proof	—	open
28	Geometry	5.7	proof	—	open
29	Geometry	5.7	proof	—	open
30	Number theory	5.7	proof	—	open
31	Number theory	5.7	proof	—	open
32	Number theory	5.7	proof	—	open
33	Number theory	5.7	proof	—	open
34	Number theory	5.8	proof	—	open
35	Geometry	5.8	proof	—	open
36	Geometry	5.8	proof	—	open
37	Geometry	5.8	proof	—	open
38	Algebra	5.8	proof	—	open
39	Combinatorics	5.9	proof	—	open
40	Geometry	5.9	proof	—	open
41	Combinatorics	6.0	proof	—	open
42	Geometry	6.0	proof	—	open
43	Algebra	6.0	proof	—	open
44	Number theory	6.0	proof	—	open
45	Number theory	6.0	proof	—	open
46	Combinatorics	6.0	proof	—	open
47	Number theory	6.1	proof	—	open
48	Geometry	6.1	proof	—	open
49	Geometry	6.1	proof	—	open
50	Geometry	6.1	proof	—	open
51	Number theory	6.1	proof	—	open
52	Number theory	6.1	proof	—	open
53	Number theory	6.1	proof	—	open
54	Geometry	6.2	proof	—	open
55	Algebra	6.2	proof	—	open
56	Number theory	6.2	proof	—	open
57	Algebra	6.2	proof	—	open
58	Combinatorics	6.3	proof	—	open
59	Combinatorics	6.3	proof	—	open
60	Combinatorics	6.3	proof	—	open
61	Combinatorics	6.3	proof	—	open
62	Number theory	6.3	proof	—	open
63	Geometry	6.3	proof	—	open
64	Number theory	6.4	proof	—	open
65	Combinatorics	6.4	proof	—	open
66	Combinatorics	6.5	proof	—	open
67	Algebra	6.5	proof	—	open
68	Geometry	6.5	proof	—	open
69	Number theory	6.6	proof	—	open
70	Geometry	6.6	proof	—	open
71	Combinatorics	6.7	proof	—	open
72	Combinatorics	6.7	proof	—	open
73	Combinatorics	6.7	proof	—	open
74	Algebra	6.8	proof	—	open
75	Algebra	6.8	proof	—	open
76	Geometry	6.8	proof	—	open
77	Geometry	6.8	proof	—	open
78	Algebra	6.9	proof	—	open
79	Combinatorics	6.9	proof	—	open
80	Combinatorics	6.9	proof	—	open
81	Geometry	7.0	proof	—	open
82	Geometry	7.0	proof	—	open
83	Algebra	7.1	proof	—	open
84	Number theory	7.2	proof	—	open
85	Geometry	7.2	proof	—	open
86	Number theory	7.3	proof	—	open
87	Algebra	7.3	proof	—	open
88	Algebra	7.3	proof	—	open
89	Geometry	7.3	proof	—	open
90	Algebra	7.3	proof	—	open
91	Geometry	7.4	proof	—	open
92	Number theory	7.4	proof	—	open
93	Geometry	7.4	proof	—	open
94	Combinatorics	7.4	proof	—	open
95	Combinatorics	7.4	proof	—	open
96	Number theory	7.4	proof	—	open
97	Combinatorics	7.5	proof	—	open
98	Combinatorics	7.5	proof	—	open
99	Combinatorics	7.6	proof	—	open
100	Combinatorics	7.7	proof	—	open
101	Combinatorics	7.7	proof	—	open
102	Combinatorics	7.8	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.