Maths Olympiad Prep

Library /Estonian Math Competitions

Estonian Math Competitions

148 problems here, rated 3.7 to 7.8 on our scale (AMC 10/12 to National Olympiad, round 2). 145 of them ask for a proof.

Algebra 36Combinatorics 28Geometry 48Number theory 36
#TopicDiffTypeYear
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 Geometry 4.8 proof — open
21 Algebra 4.8 proof — open
22 Algebra 4.9 proof — open
23 Geometry 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 5.1 proof — open
36 Geometry 5.2 proof — open
37 Algebra 5.2 proof — open
38 Geometry 5.2 proof — open
39 Number theory 5.2 proof — open
40 Number theory 5.2 proof — open
41 Geometry 5.3 proof — open
42 Algebra 5.3 proof — open
43 Geometry 5.3 proof — open
44 Number theory 5.3 proof — open
45 Geometry 5.3 proof — open
46 Number theory 5.3 proof — open
47 Number theory 5.4 proof — open
48 Number theory 5.4 proof — open
49 Number theory 5.4 proof — open
50 Number theory 5.4 proof — open
51 Geometry 5.4 proof — open
52 Geometry 5.4 proof — open
53 Algebra 5.5 proof — open
54 Geometry 5.5 proof — open
55 Geometry 5.5 proof — open
56 Number theory 5.5 proof — open
57 Combinatorics 5.5 proof — open
58 Number theory 5.5 proof — open
59 Number theory 5.5 proof — open
60 Number theory 5.6 proof — open
61 Number theory 5.6 proof — open
62 Geometry 5.6 proof — open
63 Number theory 5.6 proof — open
64 Number theory 5.6 proof — open
65 Number theory 5.6 proof — open
66 Geometry 5.6 proof — open
67 Combinatorics 5.7 proof — open
68 Number theory 5.7 proof — open
69 Number theory 5.7 proof — open
70 Geometry 5.7 proof — open
71 Number theory 5.7 proof — open
72 Number theory 5.7 proof — open
73 Geometry 5.7 proof — open
74 Number theory 5.7 proof — open
75 Number theory 5.7 proof — open
76 Geometry 5.7 proof — open
77 Algebra 5.8 proof — open
78 Geometry 5.8 proof — open
79 Algebra 5.8 proof — open
80 Number theory 5.8 proof — open
81 Combinatorics 5.8 proof — open
82 Geometry 5.8 proof — open
83 Combinatorics 5.8 proof — open
84 Geometry 5.9 proof — open
85 Geometry 5.9 proof — open
86 Algebra 5.9 proof — open
87 Geometry 5.9 proof — open
88 Algebra 5.9 proof — open
89 Geometry 5.9 proof — open
90 Number theory 6.0 proof — open
91 Combinatorics 6.0 proof — open
92 Geometry 6.0 proof — open
93 Number theory 6.0 proof — open
94 Geometry 6.1 proof — open
95 Combinatorics 6.2 proof — open
96 Number theory 6.2 proof — open
97 Combinatorics 6.2 proof — open
98 Number theory 6.3 proof — open
99 Algebra 6.3 proof — open
100 Algebra 6.3 proof — open
101 Algebra 6.3 proof — open
102 Algebra 6.3 proof — open
103 Algebra 6.3 proof — open
104 Algebra 6.3 proof — open
105 Geometry 6.4 proof — open
106 Algebra 6.4 proof — open
107 Algebra 6.4 proof — open
108 Geometry 6.4 proof — open
109 Geometry 6.4 proof — open
110 Combinatorics 6.4 proof — open
111 Combinatorics 6.4 proof — open
112 Combinatorics 6.5 proof — open
113 Algebra 6.5 proof — open
114 Number theory 6.5 proof — open
115 Geometry 6.5 proof — open
116 Combinatorics 6.5 proof — open
117 Algebra 6.6 proof — open
118 Algebra 6.6 proof — open
119 Algebra 6.6 proof — open
120 Algebra 6.6 proof — open
121 Geometry 6.7 proof — open
122 Geometry 6.7 proof — open
123 Geometry 6.7 proof — open
124 Algebra 6.7 proof — open
125 Combinatorics 6.7 proof — open
126 Combinatorics 6.8 proof — open
127 Combinatorics 6.8 proof — open
128 Algebra 6.8 proof — open
129 Combinatorics 6.8 proof — open
130 Algebra 6.8 proof — open
131 Number theory 6.9 proof — open
132 Combinatorics 6.9 proof — open
133 Combinatorics 6.9 proof — open
134 Geometry 6.9 proof — open
135 Algebra 6.9 proof — open
136 Combinatorics 7.0 proof — open
137 Combinatorics 7.0 proof — open
138 Combinatorics 7.0 proof — open
139 Combinatorics 7.1 proof — open
140 Combinatorics 7.1 proof — open
141 Combinatorics 7.1 proof — open
142 Number theory 7.1 proof — open
143 Combinatorics 7.1 proof — open
144 Geometry 7.2 proof — open
145 Geometry 7.2 proof — open
146 Combinatorics 7.3 proof — open
147 Number theory 7.5 proof — open
148 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.