Maths Olympiad Prep

Library /SAMC

SAMC

133 problems here, rated 4 to 7.8 on our scale (AIME to National olympiad, round 2). 132 of them ask for a proof.

Algebra 37Combinatorics 25Geometry 37Number theory 34
#TopicDiffTypeYear
1 Algebra 4.0 answer — open
2 Algebra 4.4 proof 2015 open
3 Algebra 4.4 proof — open
4 Geometry 4.5 proof — open
5 Geometry 4.5 proof — open
6 Number theory 4.5 proof — open
7 Geometry 4.5 proof — open
8 Geometry 4.6 proof — open
9 Geometry 4.6 proof — open
10 Geometry 4.6 proof 2015 open
11 Algebra 4.6 proof — open
12 Number theory 4.7 proof — open
13 Number theory 4.7 proof — open
14 Algebra 4.7 proof — open
15 Number theory 4.8 proof — open
16 Algebra 4.8 proof — open
17 Combinatorics 4.9 proof 2015 open
18 Combinatorics 4.9 proof — open
19 Number theory 5.0 proof — open
20 Algebra 5.0 proof — open
21 Number theory 5.0 proof — open
22 Algebra 5.0 proof — open
23 Number theory 5.0 proof — open
24 Geometry 5.0 proof 2015 open
25 Algebra 5.0 proof — open
26 Algebra 5.0 proof — open
27 Number theory 5.1 proof — open
28 Geometry 5.1 proof — open
29 Algebra 5.1 proof 2015 open
30 Number theory 5.1 proof — open
31 Geometry 5.1 proof — open
32 Geometry 5.1 proof — open
33 Geometry 5.1 proof 2015 open
34 Geometry 5.1 proof — open
35 Algebra 5.2 proof — open
36 Geometry 5.2 proof — open
37 Number theory 5.2 proof — open
38 Algebra 5.2 proof — open
39 Geometry 5.2 proof 2015 open
40 Algebra 5.3 proof — open
41 Algebra 5.3 proof — open
42 Number theory 5.3 proof 2015 open
43 Geometry 5.3 proof — open
44 Algebra 5.3 proof 2015 open
45 Number theory 5.3 proof — open
46 Algebra 5.4 proof — open
47 Number theory 5.4 proof — open
48 Number theory 5.4 proof — open
49 Geometry 5.4 proof — open
50 Number theory 5.4 proof — open
51 Geometry 5.4 proof — open
52 Number theory 5.4 proof 2015 open
53 Number theory 5.4 proof 2015 open
54 Number theory 5.4 proof 2015 open
55 Geometry 5.4 proof — open
56 Geometry 5.4 proof — open
57 Algebra 5.5 proof 2015 open
58 Geometry 5.5 proof — open
59 Number theory 5.5 proof — open
60 Algebra 5.5 proof 2015 open
61 Algebra 5.5 proof — open
62 Algebra 5.5 proof — open
63 Geometry 5.5 proof — open
64 Algebra 5.5 proof 2015 open
65 Number theory 5.6 proof 2015 open
66 Number theory 5.6 proof — open
67 Number theory 5.6 proof — open
68 Number theory 5.6 proof — open
69 Algebra 5.6 proof — open
70 Geometry 5.6 proof — open
71 Algebra 5.7 proof 2015 open
72 Number theory 5.7 proof 2015 open
73 Algebra 5.7 proof — open
74 Combinatorics 5.7 proof 2015 open
75 Algebra 5.7 proof — open
76 Combinatorics 5.7 proof — open
77 Algebra 5.7 proof 2015 open
78 Number theory 5.7 proof 2015 open
79 Algebra 5.7 proof — open
80 Geometry 5.7 proof — open
81 Algebra 5.7 proof — open
82 Geometry 5.8 proof — open
83 Combinatorics 5.8 proof 2015 open
84 Number theory 5.8 proof 2015 open
85 Combinatorics 5.8 proof 2015 open
86 Geometry 5.8 proof — open
87 Number theory 5.8 proof — open
88 Algebra 5.8 proof 2015 open
89 Number theory 5.9 proof 2015 open
90 Algebra 5.9 proof — open
91 Combinatorics 6.0 proof 2015 open
92 Combinatorics 6.0 proof — open
93 Geometry 6.1 proof — open
94 Combinatorics 6.1 proof — open
95 Algebra 6.1 proof — open
96 Geometry 6.2 proof 2015 open
97 Combinatorics 6.2 proof — open
98 Geometry 6.2 proof 2015 open
99 Geometry 6.3 proof 2015 open
100 Geometry 6.3 proof — open
101 Geometry 6.3 proof 2015 open
102 Number theory 6.3 proof — open
103 Combinatorics 6.4 proof — open
104 Combinatorics 6.4 proof — open
105 Geometry 6.5 proof — open
106 Algebra 6.5 proof 2015 open
107 Algebra 6.5 proof — open
108 Combinatorics 6.5 proof — open
109 Combinatorics 6.6 proof 2015 open
110 Number theory 6.6 proof — open
111 Algebra 6.6 proof — open
112 Combinatorics 6.7 proof 2015 open
113 Algebra 6.7 proof — open
114 Combinatorics 6.7 proof 2015 open
115 Number theory 6.8 proof 2015 open
116 Combinatorics 6.8 proof 2015 open
117 Number theory 6.8 proof — open
118 Geometry 6.8 proof 2015 open
119 Algebra 6.8 proof — open
120 Geometry 6.9 proof — open
121 Geometry 6.9 proof — open
122 Combinatorics 7.0 proof — open
123 Geometry 7.1 proof 2015 open
124 Geometry 7.1 proof — open
125 Number theory 7.1 proof 2015 open
126 Combinatorics 7.2 proof — open
127 Combinatorics 7.2 proof — open
128 Combinatorics 7.2 proof 2015 open
129 Combinatorics 7.3 proof — open
130 Number theory 7.3 proof — open
131 Combinatorics 7.6 proof 2015 open
132 Combinatorics 7.7 proof — open
133 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.