Library /Estonian Math Competitions

Estonian Math Competitions

86 problems here, rated 3.7 to 7.8 on our scale (AMC 10/12 to National olympiad, round 2). 83 of them ask for a proof.

Algebra 22Combinatorics 17Geometry 26Number theory 21

#	Topic	Diff	Type	Year
1	Algebra	3.7	answer	—	open
2	Algebra	3.8	answer	—	open
3	Geometry	4.3	proof	—	open
4	Geometry	4.5	proof	—	open
5	Number theory	4.7	proof	—	open
6	Algebra	4.7	answer	—	open
7	Algebra	4.7	proof	—	open
8	Algebra	4.8	proof	—	open
9	Geometry	4.8	proof	—	open
10	Algebra	4.9	proof	—	open
11	Number theory	4.9	proof	—	open
12	Combinatorics	4.9	proof	—	open
13	Algebra	4.9	proof	—	open
14	Algebra	4.9	proof	—	open
15	Number theory	5.0	proof	—	open
16	Geometry	5.0	proof	—	open
17	Geometry	5.1	proof	—	open
18	Geometry	5.1	proof	—	open
19	Geometry	5.2	proof	—	open
20	Geometry	5.3	proof	—	open
21	Geometry	5.3	proof	—	open
22	Number theory	5.4	proof	—	open
23	Number theory	5.4	proof	—	open
24	Geometry	5.4	proof	—	open
25	Geometry	5.4	proof	—	open
26	Algebra	5.5	proof	—	open
27	Geometry	5.5	proof	—	open
28	Geometry	5.5	proof	—	open
29	Number theory	5.5	proof	—	open
30	Number theory	5.6	proof	—	open
31	Number theory	5.6	proof	—	open
32	Number theory	5.6	proof	—	open
33	Geometry	5.6	proof	—	open
34	Number theory	5.7	proof	—	open
35	Number theory	5.7	proof	—	open
36	Geometry	5.7	proof	—	open
37	Number theory	5.7	proof	—	open
38	Geometry	5.7	proof	—	open
39	Number theory	5.8	proof	—	open
40	Algebra	5.8	proof	—	open
41	Geometry	5.8	proof	—	open
42	Algebra	5.8	proof	—	open
43	Geometry	5.9	proof	—	open
44	Algebra	5.9	proof	—	open
45	Geometry	5.9	proof	—	open
46	Algebra	5.9	proof	—	open
47	Combinatorics	6.0	proof	—	open
48	Number theory	6.0	proof	—	open
49	Geometry	6.1	proof	—	open
50	Number theory	6.2	proof	—	open
51	Number theory	6.3	proof	—	open
52	Number theory	6.3	proof	—	open
53	Algebra	6.3	proof	—	open
54	Algebra	6.4	proof	—	open
55	Algebra	6.4	proof	—	open
56	Geometry	6.4	proof	—	open
57	Geometry	6.5	proof	—	open
58	Combinatorics	6.5	proof	—	open
59	Algebra	6.6	proof	—	open
60	Algebra	6.6	proof	—	open
61	Algebra	6.6	proof	—	open
62	Geometry	6.7	proof	—	open
63	Geometry	6.7	proof	—	open
64	Combinatorics	6.7	proof	—	open
65	Combinatorics	6.7	proof	—	open
66	Combinatorics	6.8	proof	—	open
67	Combinatorics	6.8	proof	—	open
68	Algebra	6.8	proof	—	open
69	Combinatorics	6.8	proof	—	open
70	Algebra	6.8	proof	—	open
71	Number theory	6.9	proof	—	open
72	Combinatorics	6.9	proof	—	open
73	Combinatorics	6.9	proof	—	open
74	Geometry	6.9	proof	—	open
75	Algebra	6.9	proof	—	open
76	Number theory	6.9	proof	—	open
77	Combinatorics	7.0	proof	—	open
78	Combinatorics	7.0	proof	—	open
79	Combinatorics	7.1	proof	—	open
80	Combinatorics	7.1	proof	—	open
81	Combinatorics	7.1	proof	—	open
82	Number theory	7.1	proof	—	open
83	Geometry	7.2	proof	—	open
84	Combinatorics	7.3	proof	—	open
85	Number theory	7.3	proof	—	open
86	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.