Maths Olympiad Prep

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Team Selection Test

33 problems here, rated 7.2 to 8.9 on our scale (National olympiad, round 2 to Shortlist). 33 of them ask for a proof.

Algebra 8Combinatorics 9Geometry 10Number theory 6
#TopicDiffTypeYear
1 Geometry 7.2 proof — open
2 Algebra 7.5 proof — open
3 Number theory 7.5 proof — open
4 Algebra 7.6 proof — open
5 Geometry 7.6 proof — open
6 Combinatorics 7.6 proof — open
7 Geometry 7.6 proof — open
8 Algebra 7.7 proof — open
9 Combinatorics 7.7 proof — open
10 Algebra 7.8 proof — open
11 Algebra 7.8 proof — open
12 Combinatorics 7.8 proof — open
13 Number theory 7.8 proof — open
14 Combinatorics 7.9 proof — open
15 Combinatorics 8.0 proof — open
16 Combinatorics 8.1 proof — open
17 Number theory 8.1 proof — open
18 Algebra 8.2 proof — open
19 Algebra 8.3 proof — open
20 Geometry 8.3 proof — open
21 Geometry 8.3 proof — open
22 Geometry 8.3 proof — open
23 Geometry 8.4 proof — open
24 Combinatorics 8.4 proof — open
25 Geometry 8.4 proof — open
26 Combinatorics 8.4 proof — open
27 Geometry 8.5 proof — open
28 Algebra 8.5 proof — open
29 Number theory 8.6 proof — open
30 Combinatorics 8.7 proof — open
31 Number theory 8.7 proof — open
32 Number theory 8.9 proof — open
33 Geometry 8.9 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.