Maths Olympiad Prep

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Tenth Philippine Mathematical Olympiad

24 problems here, rated 3.9 to 6.8 on our scale (AMC 10/12 to National Olympiad). 17 of them ask for a proof.

Algebra 12Combinatorics 1Geometry 9Number theory 2
#TopicDiffTypeYear
1 Geometry 3.9 answer open
2 Geometry 4.1 answer open
3 Algebra 4.2 answer open
4 Algebra 4.3 answer open
5 Algebra 4.5 answer open
6 Algebra 4.8 answer open
7 Algebra 4.9 proof open
8 Algebra 4.9 proof open
9 Geometry 4.9 proof open
10 Geometry 5.0 proof open
11 Algebra 5.0 proof open
12 Geometry 5.0 answer open
13 Geometry 5.1 proof open
14 Geometry 5.1 proof open
15 Number theory 5.1 proof open
16 Algebra 5.2 proof open
17 Algebra 5.3 proof open
18 Geometry 5.3 proof open
19 Algebra 5.5 proof open
20 Number theory 5.7 proof open
21 Algebra 5.8 proof open
22 Combinatorics 6.1 proof open
23 Geometry 6.7 proof open
24 Algebra 6.8 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.