Maths Olympiad Prep

Library /USAMO

USAMO

115 problems here, rated 6 to 8 on our scale (National olympiad to Shortlist).

Algebra 51Combinatorics 27Geometry 22Number theory 15
#TopicDiffTypeYear
1 Algebra 6.0 answer — open
2 Geometry 6.0 answer — open
3 Geometry 6.0 answer — open
4 Geometry 6.1 answer — open
5 Algebra 6.1 answer — open
6 Algebra 6.2 answer — open
7 Number theory 6.3 answer — open
8 Number theory 6.3 answer — open
9 Algebra 6.4 answer — open
10 Algebra 6.5 answer — open
11 Geometry 6.5 answer — open
12 Algebra 6.5 answer — open
13 Algebra 6.6 answer — open
14 Number theory 6.6 answer — open
15 Algebra 6.7 answer — open
16 Algebra 6.7 answer — open
17 Algebra 6.7 answer — open
18 Geometry 6.7 answer — open
19 Geometry 6.7 answer — open
20 Geometry 6.8 answer — open
21 Combinatorics 6.8 answer — open
22 Algebra 6.8 answer — open
23 Geometry 6.8 answer — open
24 Combinatorics 6.8 answer — open
25 Combinatorics 6.8 answer — open
26 Combinatorics 6.9 answer — open
27 Combinatorics 6.9 answer — open
28 Algebra 7.0 answer — open
29 Geometry 7.0 answer — open
30 Algebra 7.0 answer — open
31 Number theory 7.0 answer — open
32 Combinatorics 7.0 answer — open
33 Number theory 7.0 answer — open
34 Geometry 7.0 answer — open
35 Combinatorics 7.0 answer — open
36 Geometry 7.0 answer — open
37 Geometry 7.1 answer — open
38 Algebra 7.1 answer — open
39 Number theory 7.1 answer — open
40 Algebra 7.1 answer — open
41 Number theory 7.1 answer — open
42 Algebra 7.1 answer — open
43 Algebra 7.1 answer — open
44 Algebra 7.1 answer — open
45 Combinatorics 7.1 answer — open
46 Number theory 7.2 answer — open
47 Algebra 7.2 answer — open
48 Combinatorics 7.2 answer — open
49 Geometry 7.2 answer — open
50 Combinatorics 7.2 answer — open
51 Number theory 7.2 answer — open
52 Combinatorics 7.2 answer — open
53 Combinatorics 7.3 answer — open
54 Algebra 7.3 answer — open
55 Geometry 7.3 answer — open
56 Algebra 7.3 answer — open
57 Algebra 7.3 answer — open
58 Algebra 7.3 answer — open
59 Combinatorics 7.3 answer — open
60 Algebra 7.3 answer — open
61 Geometry 7.3 answer — open
62 Algebra 7.4 answer — open
63 Algebra 7.4 answer — open
64 Algebra 7.4 answer — open
65 Algebra 7.4 answer — open
66 Geometry 7.4 answer — open
67 Combinatorics 7.4 answer — open
68 Algebra 7.4 answer — open
69 Combinatorics 7.4 answer — open
70 Combinatorics 7.4 answer — open
71 Algebra 7.4 answer — open
72 Combinatorics 7.4 answer — open
73 Geometry 7.4 answer — open
74 Algebra 7.5 answer — open
75 Number theory 7.5 answer — open
76 Geometry 7.5 answer — open
77 Combinatorics 7.5 answer — open
78 Algebra 7.5 answer — open
79 Geometry 7.5 answer — open
80 Combinatorics 7.5 answer — open
81 Combinatorics 7.5 answer — open
82 Combinatorics 7.5 answer — open
83 Algebra 7.5 answer — open
84 Algebra 7.5 answer — open
85 Algebra 7.5 answer — open
86 Algebra 7.5 answer — open
87 Algebra 7.6 answer — open
88 Algebra 7.6 answer — open
89 Geometry 7.6 answer — open
90 Number theory 7.6 answer — open
91 Geometry 7.6 answer — open
92 Number theory 7.6 answer — open
93 Number theory 7.6 answer — open
94 Number theory 7.6 answer — open
95 Algebra 7.6 answer — open
96 Number theory 7.6 answer — open
97 Algebra 7.7 answer — open
98 Algebra 7.7 answer — open
99 Algebra 7.7 answer — open
100 Combinatorics 7.7 answer — open
101 Combinatorics 7.7 answer — open
102 Algebra 7.7 answer — open
103 Combinatorics 7.7 answer — open
104 Algebra 7.7 answer — open
105 Algebra 7.7 answer — open
106 Algebra 7.8 answer — open
107 Combinatorics 7.8 answer — open
108 Combinatorics 7.8 answer — open
109 Geometry 7.8 answer — open
110 Algebra 7.8 answer — open
111 Algebra 7.8 answer — open
112 Combinatorics 7.9 answer — open
113 Algebra 7.9 answer — open
114 Algebra 8.0 answer — open
115 Algebra 8.0 answer — 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.