Maths Olympiad Prep

Library /Turkey — Team Selection Test

Turkey — Team Selection Test

50 problems here, rated 7.2 to 8.9 on our scale (National Olympiad, round 2 to Shortlist). 50 of them ask for a proof.

Algebra 12Combinatorics 17Geometry 12Number theory 9
#TopicDiffTypeYear
1 Algebra 7.2 proof open
2 Number theory 7.3 proof open
3 Combinatorics 7.4 proof open
4 Combinatorics 7.5 proof open
5 Number theory 7.5 proof open
6 Geometry 7.5 proof open
7 Number theory 7.5 proof open
8 Algebra 7.5 proof open
9 Algebra 7.6 proof open
10 Geometry 7.6 proof open
11 Number theory 7.6 proof open
12 Combinatorics 7.6 proof open
13 Geometry 7.6 proof open
14 Number theory 7.7 proof open
15 Algebra 7.7 proof open
16 Geometry 7.7 proof open
17 Combinatorics 7.7 proof open
18 Algebra 7.8 proof open
19 Algebra 7.8 proof open
20 Algebra 7.8 proof open
21 Combinatorics 7.8 proof open
22 Algebra 7.8 proof open
23 Combinatorics 7.8 proof open
24 Algebra 7.8 proof open
25 Combinatorics 7.8 proof open
26 Number theory 7.8 proof open
27 Combinatorics 7.9 proof open
28 Combinatorics 8.0 proof open
29 Combinatorics 8.0 proof open
30 Combinatorics 8.0 proof open
31 Geometry 8.1 proof open
32 Combinatorics 8.1 proof open
33 Number theory 8.1 proof open
34 Algebra 8.2 proof open
35 Algebra 8.3 proof open
36 Geometry 8.3 proof open
37 Geometry 8.3 proof open
38 Geometry 8.3 proof open
39 Geometry 8.4 proof open
40 Combinatorics 8.4 proof open
41 Geometry 8.4 proof open
42 Combinatorics 8.4 proof open
43 Geometry 8.5 proof open
44 Algebra 8.5 proof open
45 Combinatorics 8.6 proof open
46 Number theory 8.6 proof open
47 Combinatorics 8.7 proof open
48 Combinatorics 8.8 proof open
49 Number theory 8.9 proof open
50 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.