Maths Olympiad Prep

Library /Slovenia — National Math Olympiad

Slovenia — National Math Olympiad

129 problems here, rated 3.4 to 7.5 on our scale (AMC 10/12 to National Olympiad, round 2). 108 of them ask for a proof.

Algebra 40Combinatorics 12Geometry 44Number theory 33
#TopicDiffTypeYear
1 Geometry 3.4 answer — open
2 Geometry 3.4 answer 2012 open
3 Algebra 3.6 answer 2012 open
4 Algebra 3.6 answer — open
5 Geometry 3.7 answer — open
6 Algebra 3.7 answer 2012 open
7 Algebra 3.8 answer — open
8 Algebra 3.8 answer — open
9 Algebra 3.8 answer — open
10 Algebra 3.8 answer 2012 open
11 Algebra 3.8 answer 2012 open
12 Geometry 3.9 answer 2012 open
13 Algebra 3.9 answer 2012 open
14 Algebra 3.9 answer — open
15 Number theory 4.2 answer — open
16 Geometry 4.3 answer — open
17 Algebra 4.3 answer 2012 open
18 Geometry 4.4 proof 2012 open
19 Geometry 4.4 proof 2012 open
20 Geometry 4.4 answer — open
21 Geometry 4.4 answer 2012 open
22 Algebra 4.5 proof — open
23 Geometry 4.5 proof — open
24 Combinatorics 4.5 proof — open
25 Geometry 4.5 proof 2012 open
26 Algebra 4.5 proof — open
27 Geometry 4.5 answer — open
28 Geometry 4.5 proof 2012 open
29 Algebra 4.6 answer 2012 open
30 Algebra 4.6 proof 2012 open
31 Algebra 4.6 proof — open
32 Geometry 4.6 proof — open
33 Algebra 4.6 proof — open
34 Algebra 4.6 proof — open
35 Number theory 4.6 proof — open
36 Algebra 4.7 proof — open
37 Algebra 4.7 proof — open
38 Geometry 4.7 proof — open
39 Number theory 4.7 proof 2012 open
40 Algebra 4.8 proof — open
41 Geometry 4.8 proof — open
42 Algebra 4.8 proof — open
43 Number theory 4.8 proof — open
44 Number theory 4.8 proof 2012 open
45 Algebra 4.8 proof — open
46 Algebra 4.8 proof — open
47 Number theory 4.8 proof — open
48 Algebra 4.8 proof 2012 open
49 Number theory 4.9 proof — open
50 Algebra 4.9 proof — open
51 Algebra 4.9 proof — open
52 Number theory 4.9 proof — open
53 Algebra 4.9 proof — open
54 Number theory 5.0 proof — open
55 Geometry 5.0 proof — open
56 Algebra 5.0 proof — open
57 Number theory 5.0 proof — open
58 Number theory 5.0 proof — open
59 Geometry 5.0 proof — open
60 Number theory 5.1 proof — open
61 Algebra 5.1 proof — open
62 Number theory 5.2 proof — open
63 Number theory 5.2 proof — open
64 Geometry 5.2 proof — open
65 Algebra 5.3 proof 2012 open
66 Algebra 5.3 proof — open
67 Number theory 5.3 proof — open
68 Algebra 5.3 proof — open
69 Number theory 5.3 proof — open
70 Number theory 5.3 proof — open
71 Number theory 5.3 proof 2012 open
72 Algebra 5.4 proof — open
73 Number theory 5.4 proof — open
74 Number theory 5.4 proof — open
75 Algebra 5.4 proof — open
76 Geometry 5.4 proof — open
77 Geometry 5.4 proof — open
78 Algebra 5.4 proof 2012 open
79 Number theory 5.4 proof 2012 open
80 Number theory 5.5 proof 2012 open
81 Geometry 5.5 proof — open
82 Algebra 5.5 proof — open
83 Number theory 5.5 proof — open
84 Geometry 5.6 proof — open
85 Number theory 5.6 proof — open
86 Number theory 5.6 proof — open
87 Combinatorics 5.6 proof — open
88 Algebra 5.6 proof — open
89 Number theory 5.7 proof — open
90 Geometry 5.7 proof — open
91 Geometry 5.7 proof — open
92 Geometry 5.7 proof — open
93 Geometry 5.7 proof — open
94 Algebra 5.8 proof — open
95 Number theory 5.9 proof — open
96 Algebra 5.9 proof — open
97 Geometry 5.9 proof — open
98 Geometry 5.9 proof — open
99 Geometry 5.9 proof — open
100 Combinatorics 6.0 proof — open
101 Geometry 6.0 proof 2012 open
102 Geometry 6.0 proof — open
103 Geometry 6.0 proof — open
104 Number theory 6.0 proof 2012 open
105 Number theory 6.0 proof — open
106 Combinatorics 6.1 proof 2012 open
107 Geometry 6.1 proof — open
108 Geometry 6.2 proof — open
109 Number theory 6.3 proof — open
110 Number theory 6.4 proof — open
111 Geometry 6.4 proof 2012 open
112 Combinatorics 6.4 proof — open
113 Geometry 6.4 proof — open
114 Geometry 6.4 proof 2012 open
115 Geometry 6.5 proof — open
116 Number theory 6.5 proof 2012 open
117 Combinatorics 6.5 proof — open
118 Combinatorics 6.5 proof — open
119 Geometry 6.7 proof — open
120 Geometry 6.7 proof 2012 open
121 Combinatorics 6.7 proof 2012 open
122 Geometry 6.7 proof — open
123 Combinatorics 6.8 proof — open
124 Number theory 6.8 proof — open
125 Geometry 6.9 proof — open
126 Combinatorics 7.0 proof — open
127 Combinatorics 7.0 proof 2012 open
128 Combinatorics 7.4 proof — open
129 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.