Maths Olympiad Prep

Library /Berkeley Math Circle

Berkeley Math Circle

98 problems here, rated 4 to 5.9 on our scale (AIME to AIME, harder). 94 of them ask for a proof.

Algebra 24Combinatorics 29Geometry 26Number theory 19
#TopicDiffTypeYear
1 Algebra 4.0 answer — open
2 Algebra 4.0 answer — open
3 Geometry 4.2 proof — open
4 Combinatorics 4.3 answer — open
5 Algebra 4.3 proof — open
6 Number theory 4.3 proof — open
7 Geometry 4.3 proof — open
8 Number theory 4.3 proof — open
9 Combinatorics 4.4 answer — open
10 Geometry 4.4 proof — open
11 Algebra 4.4 proof — open
12 Geometry 4.5 proof — open
13 Geometry 4.5 proof — open
14 Number theory 4.5 proof — open
15 Algebra 4.5 proof — open
16 Algebra 4.5 proof — open
17 Geometry 4.6 proof — open
18 Geometry 4.6 proof — open
19 Geometry 4.6 proof — open
20 Geometry 4.6 proof — open
21 Number theory 4.6 proof — open
22 Geometry 4.6 proof — open
23 Geometry 4.6 proof — open
24 Algebra 4.7 proof — open
25 Algebra 4.7 proof — open
26 Algebra 4.7 proof — open
27 Algebra 4.7 proof — open
28 Number theory 4.7 proof — open
29 Algebra 4.7 proof — open
30 Geometry 4.7 proof — open
31 Number theory 4.8 proof — open
32 Number theory 4.8 proof — open
33 Algebra 4.8 proof — open
34 Geometry 4.8 proof — open
35 Geometry 4.8 proof — open
36 Algebra 4.8 proof — open
37 Combinatorics 4.8 proof — open
38 Geometry 4.8 proof — open
39 Number theory 4.9 proof — open
40 Algebra 4.9 proof — open
41 Number theory 4.9 proof — open
42 Combinatorics 4.9 proof — open
43 Combinatorics 4.9 proof — open
44 Algebra 4.9 proof — open
45 Geometry 4.9 proof — open
46 Number theory 4.9 proof — open
47 Combinatorics 4.9 proof — open
48 Algebra 4.9 proof — open
49 Geometry 4.9 proof — open
50 Number theory 4.9 proof — open
51 Geometry 4.9 proof — open
52 Geometry 4.9 proof — open
53 Number theory 5.0 proof — open
54 Algebra 5.0 proof — open
55 Number theory 5.0 proof — open
56 Number theory 5.0 proof — open
57 Algebra 5.0 proof — open
58 Combinatorics 5.0 proof — open
59 Combinatorics 5.0 proof — open
60 Number theory 5.0 proof — open
61 Algebra 5.1 proof — open
62 Combinatorics 5.1 proof — open
63 Number theory 5.1 proof — open
64 Combinatorics 5.1 proof — open
65 Geometry 5.1 proof — open
66 Number theory 5.2 proof — open
67 Combinatorics 5.2 proof — open
68 Geometry 5.2 proof — open
69 Algebra 5.3 proof — open
70 Algebra 5.3 proof — open
71 Combinatorics 5.3 proof — open
72 Combinatorics 5.3 proof — open
73 Geometry 5.3 proof — open
74 Combinatorics 5.3 proof — open
75 Number theory 5.3 proof — open
76 Algebra 5.4 proof — open
77 Combinatorics 5.4 proof — open
78 Combinatorics 5.4 proof — open
79 Geometry 5.4 proof — open
80 Combinatorics 5.5 proof — open
81 Geometry 5.5 proof — open
82 Combinatorics 5.5 proof — open
83 Algebra 5.5 proof — open
84 Combinatorics 5.5 proof — open
85 Combinatorics 5.5 proof — open
86 Geometry 5.5 proof — open
87 Combinatorics 5.5 proof — open
88 Combinatorics 5.6 proof — open
89 Combinatorics 5.6 proof — open
90 Combinatorics 5.6 proof — open
91 Combinatorics 5.6 proof — open
92 Combinatorics 5.7 proof — open
93 Combinatorics 5.7 proof — open
94 Combinatorics 5.7 proof — open
95 Geometry 5.7 proof — open
96 Combinatorics 5.8 proof — open
97 Algebra 5.8 proof — open
98 Number theory 5.9 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.