Maths Olympiad Prep

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FINAL ROUND

68 problems here, rated 5.2 to 7.3 on our scale (AIME, harder to National olympiad, round 2). 68 of them ask for a proof.

Algebra 15Combinatorics 17Geometry 24Number theory 12
#TopicDiffTypeYear
1 Algebra 5.2 proof — open
2 Number theory 5.2 proof — open
3 Algebra 5.4 proof — open
4 Geometry 5.4 proof — open
5 Geometry 5.4 proof — open
6 Number theory 5.5 proof — open
7 Geometry 5.5 proof — open
8 Geometry 5.5 proof — open
9 Number theory 5.6 proof — open
10 Geometry 5.7 proof — open
11 Geometry 5.7 proof — open
12 Algebra 5.7 proof — open
13 Algebra 5.7 proof — open
14 Geometry 5.8 proof — open
15 Algebra 5.8 proof — open
16 Algebra 5.9 proof — open
17 Geometry 5.9 proof — open
18 Number theory 5.9 proof — open
19 Algebra 5.9 proof — open
20 Geometry 6.0 proof — open
21 Number theory 6.0 proof — open
22 Geometry 6.1 proof — open
23 Number theory 6.1 proof — open
24 Algebra 6.1 proof — open
25 Combinatorics 6.1 proof — open
26 Algebra 6.2 proof — open
27 Number theory 6.2 proof — open
28 Combinatorics 6.2 proof — open
29 Combinatorics 6.3 proof — open
30 Number theory 6.3 proof — open
31 Geometry 6.4 proof — open
32 Algebra 6.4 proof — open
33 Number theory 6.5 proof — open
34 Algebra 6.5 proof — open
35 Geometry 6.5 proof — open
36 Geometry 6.5 proof — open
37 Algebra 6.5 proof — open
38 Number theory 6.5 proof — open
39 Geometry 6.6 proof — open
40 Geometry 6.7 proof — open
41 Number theory 6.7 proof — open
42 Geometry 6.7 proof — open
43 Geometry 6.7 proof — open
44 Combinatorics 6.8 proof — open
45 Geometry 6.8 proof — open
46 Algebra 6.8 proof — open
47 Geometry 6.8 proof — open
48 Combinatorics 6.8 proof — open
49 Geometry 6.9 proof — open
50 Geometry 7.0 proof — open
51 Algebra 7.0 proof — open
52 Combinatorics 7.0 proof — open
53 Combinatorics 7.1 proof — open
54 Geometry 7.1 proof — open
55 Combinatorics 7.1 proof — open
56 Number theory 7.2 proof — open
57 Combinatorics 7.2 proof — open
58 Combinatorics 7.3 proof — open
59 Combinatorics 7.3 proof — open
60 Combinatorics 7.3 proof — open
61 Combinatorics 7.4 proof — open
62 Combinatorics 7.6 proof — open
63 Geometry 7.7 proof — open
64 Combinatorics 7.7 proof — open
65 Geometry 7.7 proof — open
66 Combinatorics 7.7 proof — open
67 Algebra 7.8 proof — open
68 Combinatorics 8.1 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.