Library /Estonian Math Competitions

Estonian Math Competitions

110 problems here, rated 3.7 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 107 of them ask for a proof.

Algebra 27Combinatorics 18Geometry 37Number theory 28

#	Topic	Diff	Type	Year
1	Algebra	3.7	answer	—	open
2	Algebra	3.8	answer	—	open
3	Geometry	4.3	proof	—	open
4	Geometry	4.4	proof	—	open
5	Geometry	4.5	proof	—	open
6	Geometry	4.5	proof	—	open
7	Algebra	4.5	proof	—	open
8	Algebra	4.5	proof	—	open
9	Number theory	4.5	proof	—	open
10	Geometry	4.6	proof	—	open
11	Number theory	4.7	proof	—	open
12	Number theory	4.7	proof	—	open
13	Algebra	4.7	answer	—	open
14	Geometry	4.7	proof	—	open
15	Algebra	4.7	proof	—	open
16	Geometry	4.8	proof	—	open
17	Algebra	4.8	proof	—	open
18	Geometry	4.8	proof	—	open
19	Geometry	4.8	proof	—	open
20	Algebra	4.8	proof	—	open
21	Algebra	4.9	proof	—	open
22	Geometry	4.9	proof	—	open
23	Number theory	4.9	proof	—	open
24	Number theory	4.9	proof	—	open
25	Combinatorics	4.9	proof	—	open
26	Geometry	4.9	proof	—	open
27	Algebra	4.9	proof	—	open
28	Algebra	4.9	proof	—	open
29	Combinatorics	5.0	proof	—	open
30	Number theory	5.0	proof	—	open
31	Algebra	5.0	proof	—	open
32	Geometry	5.0	proof	—	open
33	Geometry	5.1	proof	—	open
34	Geometry	5.1	proof	—	open
35	Geometry	5.2	proof	—	open
36	Algebra	5.2	proof	—	open
37	Geometry	5.2	proof	—	open
38	Geometry	5.3	proof	—	open
39	Geometry	5.3	proof	—	open
40	Number theory	5.3	proof	—	open
41	Geometry	5.3	proof	—	open
42	Number theory	5.4	proof	—	open
43	Number theory	5.4	proof	—	open
44	Number theory	5.4	proof	—	open
45	Number theory	5.4	proof	—	open
46	Geometry	5.4	proof	—	open
47	Geometry	5.4	proof	—	open
48	Algebra	5.5	proof	—	open
49	Geometry	5.5	proof	—	open
50	Geometry	5.5	proof	—	open
51	Geometry	5.5	proof	—	open
52	Number theory	5.5	proof	—	open
53	Number theory	5.5	proof	—	open
54	Number theory	5.6	proof	—	open
55	Number theory	5.6	proof	—	open
56	Number theory	5.6	proof	—	open
57	Geometry	5.6	proof	—	open
58	Number theory	5.7	proof	—	open
59	Number theory	5.7	proof	—	open
60	Geometry	5.7	proof	—	open
61	Number theory	5.7	proof	—	open
62	Geometry	5.7	proof	—	open
63	Number theory	5.8	proof	—	open
64	Algebra	5.8	proof	—	open
65	Geometry	5.8	proof	—	open
66	Algebra	5.8	proof	—	open
67	Geometry	5.9	proof	—	open
68	Algebra	5.9	proof	—	open
69	Geometry	5.9	proof	—	open
70	Algebra	5.9	proof	—	open
71	Combinatorics	6.0	proof	—	open
72	Number theory	6.0	proof	—	open
73	Geometry	6.1	proof	—	open
74	Number theory	6.2	proof	—	open
75	Number theory	6.3	proof	—	open
76	Number theory	6.3	proof	—	open
77	Algebra	6.3	proof	—	open
78	Algebra	6.4	proof	—	open
79	Algebra	6.4	proof	—	open
80	Geometry	6.4	proof	—	open
81	Geometry	6.5	proof	—	open
82	Combinatorics	6.5	proof	—	open
83	Algebra	6.6	proof	—	open
84	Algebra	6.6	proof	—	open
85	Algebra	6.6	proof	—	open
86	Geometry	6.7	proof	—	open
87	Geometry	6.7	proof	—	open
88	Combinatorics	6.7	proof	—	open
89	Combinatorics	6.7	proof	—	open
90	Combinatorics	6.8	proof	—	open
91	Combinatorics	6.8	proof	—	open
92	Algebra	6.8	proof	—	open
93	Combinatorics	6.8	proof	—	open
94	Algebra	6.8	proof	—	open
95	Number theory	6.9	proof	—	open
96	Combinatorics	6.9	proof	—	open
97	Combinatorics	6.9	proof	—	open
98	Geometry	6.9	proof	—	open
99	Algebra	6.9	proof	—	open
100	Number theory	6.9	proof	—	open
101	Combinatorics	7.0	proof	—	open
102	Combinatorics	7.0	proof	—	open
103	Combinatorics	7.1	proof	—	open
104	Combinatorics	7.1	proof	—	open
105	Combinatorics	7.1	proof	—	open
106	Number theory	7.1	proof	—	open
107	Geometry	7.2	proof	—	open
108	Combinatorics	7.3	proof	—	open
109	Number theory	7.3	proof	—	open
110	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.