Maths Olympiad Prep

Library /Berkeley Math Circle Monthly Contest 2

Berkeley Math Circle Monthly Contest 2

50 problems here, rated 4.3 to 5.8 on our scale (AIME to AIME, harder). 48 of them ask for a proof.

Algebra 12Combinatorics 18Geometry 12Number theory 8
#TopicDiffTypeYear
1 Algebra 4.2 answer open
2 Combinatorics 4.3 proof open
3 Number theory 4.3 answer open
4 Algebra 4.3 proof open
5 Geometry 4.4 proof open
6 Geometry 4.4 proof open
7 Geometry 4.4 proof open
8 Number theory 4.4 proof open
9 Geometry 4.5 proof open
10 Geometry 4.7 proof open
11 Geometry 4.7 proof open
12 Number theory 4.7 proof open
13 Combinatorics 4.8 proof open
14 Combinatorics 4.8 proof open
15 Combinatorics 4.8 proof open
16 Number theory 4.8 proof open
17 Geometry 4.8 proof open
18 Algebra 4.8 proof open
19 Number theory 4.8 proof open
20 Number theory 4.9 proof open
21 Geometry 4.9 proof open
22 Combinatorics 4.9 proof open
23 Combinatorics 4.9 proof open
24 Algebra 5.0 proof open
25 Combinatorics 5.0 proof open
26 Algebra 5.0 proof open
27 Combinatorics 5.0 proof open
28 Algebra 5.1 proof open
29 Geometry 5.1 proof open
30 Algebra 5.1 proof open
31 Combinatorics 5.1 proof open
32 Geometry 5.1 proof open
33 Combinatorics 5.2 proof open
34 Combinatorics 5.2 proof open
35 Combinatorics 5.2 proof open
36 Geometry 5.2 proof open
37 Combinatorics 5.2 proof open
38 Number theory 5.2 proof open
39 Geometry 5.3 proof open
40 Combinatorics 5.3 proof open
41 Algebra 5.3 proof open
42 Algebra 5.3 proof open
43 Combinatorics 5.4 proof open
44 Combinatorics 5.5 proof open
45 Algebra 5.5 proof open
46 Combinatorics 5.7 proof open
47 Combinatorics 5.7 proof open
48 Algebra 5.8 proof open
49 Algebra 5.8 proof open
50 Number theory 5.8 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.