Maths Olympiad Prep

Library /Slovenia — National Math Olympiad

Slovenia — National Math Olympiad

122 problems here, rated 3.4 to 7.5 on our scale (AMC 10/12 to National Olympiad, round 2). 106 of them ask for a proof.

Algebra 37Combinatorics 11Geometry 41Number theory 33
#TopicDiffTypeYear
1 Geometry 3.4 answer 2012 open
2 Algebra 3.6 answer 2012 open
3 Algebra 3.6 answer — open
4 Algebra 3.7 answer 2012 open
5 Algebra 3.8 answer — open
6 Algebra 3.8 answer — open
7 Algebra 3.8 answer 2012 open
8 Geometry 3.9 answer 2012 open
9 Algebra 3.9 answer 2012 open
10 Algebra 3.9 answer — open
11 Number theory 4.2 answer — open
12 Geometry 4.3 answer — open
13 Geometry 4.4 proof 2012 open
14 Geometry 4.4 proof 2012 open
15 Geometry 4.4 answer — open
16 Geometry 4.4 answer 2012 open
17 Algebra 4.5 proof — open
18 Geometry 4.5 proof — open
19 Combinatorics 4.5 proof — open
20 Geometry 4.5 proof 2012 open
21 Algebra 4.5 proof — open
22 Geometry 4.5 answer — open
23 Geometry 4.5 proof 2012 open
24 Algebra 4.6 answer 2012 open
25 Algebra 4.6 proof 2012 open
26 Algebra 4.6 proof — open
27 Geometry 4.6 proof — open
28 Algebra 4.6 proof — open
29 Algebra 4.6 proof — open
30 Number theory 4.6 proof — open
31 Algebra 4.7 proof — open
32 Algebra 4.7 proof — open
33 Geometry 4.7 proof — open
34 Number theory 4.7 proof 2012 open
35 Algebra 4.8 proof — open
36 Geometry 4.8 proof — open
37 Algebra 4.8 proof — open
38 Number theory 4.8 proof — open
39 Number theory 4.8 proof 2012 open
40 Algebra 4.8 proof — open
41 Algebra 4.8 proof — open
42 Number theory 4.8 proof — open
43 Algebra 4.8 proof 2012 open
44 Number theory 4.9 proof — open
45 Algebra 4.9 proof — open
46 Algebra 4.9 proof — open
47 Number theory 4.9 proof — open
48 Algebra 4.9 proof — open
49 Number theory 5.0 proof — open
50 Geometry 5.0 proof — open
51 Algebra 5.0 proof — open
52 Number theory 5.0 proof — open
53 Number theory 5.0 proof — open
54 Geometry 5.0 proof — open
55 Number theory 5.1 proof — open
56 Algebra 5.1 proof — open
57 Number theory 5.2 proof — open
58 Number theory 5.2 proof — open
59 Geometry 5.2 proof — open
60 Algebra 5.3 proof 2012 open
61 Algebra 5.3 proof — open
62 Number theory 5.3 proof — open
63 Algebra 5.3 proof — open
64 Number theory 5.3 proof — open
65 Number theory 5.3 proof — open
66 Number theory 5.3 proof 2012 open
67 Algebra 5.4 proof — open
68 Number theory 5.4 proof — open
69 Number theory 5.4 proof — open
70 Algebra 5.4 proof — open
71 Geometry 5.4 proof — open
72 Geometry 5.4 proof — open
73 Algebra 5.4 proof 2012 open
74 Number theory 5.4 proof 2012 open
75 Number theory 5.5 proof 2012 open
76 Geometry 5.5 proof — open
77 Algebra 5.5 proof — open
78 Number theory 5.5 proof — open
79 Geometry 5.6 proof — open
80 Number theory 5.6 proof — open
81 Number theory 5.6 proof — open
82 Combinatorics 5.6 proof — open
83 Algebra 5.6 proof — open
84 Number theory 5.7 proof — open
85 Geometry 5.7 proof — open
86 Geometry 5.7 proof — open
87 Geometry 5.7 proof — open
88 Geometry 5.7 proof — open
89 Algebra 5.8 proof — open
90 Number theory 5.9 proof — open
91 Algebra 5.9 proof — open
92 Geometry 5.9 proof — open
93 Geometry 5.9 proof — open
94 Geometry 5.9 proof — open
95 Combinatorics 6.0 proof — open
96 Geometry 6.0 proof 2012 open
97 Geometry 6.0 proof — open
98 Number theory 6.0 proof 2012 open
99 Number theory 6.0 proof — open
100 Combinatorics 6.1 proof 2012 open
101 Geometry 6.1 proof — open
102 Geometry 6.2 proof — open
103 Number theory 6.3 proof — open
104 Number theory 6.4 proof — open
105 Geometry 6.4 proof 2012 open
106 Combinatorics 6.4 proof — open
107 Geometry 6.4 proof — open
108 Geometry 6.4 proof 2012 open
109 Geometry 6.5 proof — open
110 Number theory 6.5 proof 2012 open
111 Combinatorics 6.5 proof — open
112 Combinatorics 6.5 proof — open
113 Geometry 6.7 proof — open
114 Geometry 6.7 proof 2012 open
115 Combinatorics 6.7 proof 2012 open
116 Geometry 6.7 proof — open
117 Number theory 6.8 proof — open
118 Geometry 6.9 proof — open
119 Combinatorics 7.0 proof — open
120 Combinatorics 7.0 proof 2012 open
121 Combinatorics 7.4 proof — open
122 Geometry 7.5 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.