Maths Olympiad Prep

Library /IRL_ABooklet

IRL_ABooklet

42 problems here, rated 4.4 to 7.7 on our scale (AIME to National olympiad, round 2). 42 of them ask for a proof.

Algebra 16Combinatorics 9Geometry 11Number theory 6
#TopicDiffTypeYear
1 Geometry 4.4 proof open
2 Algebra 4.5 proof open
3 Geometry 4.6 proof open
4 Algebra 4.6 proof open
5 Algebra 4.8 proof open
6 Geometry 4.9 proof open
7 Number theory 5.0 proof open
8 Number theory 5.0 proof open
9 Number theory 5.1 proof open
10 Algebra 5.1 proof open
11 Algebra 5.1 proof open
12 Geometry 5.2 proof open
13 Algebra 5.2 proof open
14 Number theory 5.2 proof open
15 Combinatorics 5.3 proof open
16 Algebra 5.3 proof open
17 Geometry 5.4 proof open
18 Geometry 5.4 proof open
19 Algebra 5.4 proof open
20 Geometry 5.4 proof open
21 Algebra 5.4 proof open
22 Algebra 5.4 proof open
23 Combinatorics 5.5 proof open
24 Algebra 5.9 proof open
25 Geometry 5.9 proof open
26 Combinatorics 6.0 proof open
27 Number theory 6.0 proof open
28 Algebra 6.1 proof open
29 Geometry 6.1 proof open
30 Combinatorics 6.3 proof open
31 Geometry 6.3 proof open
32 Algebra 6.3 proof open
33 Combinatorics 6.5 proof open
34 Algebra 6.6 proof open
35 Combinatorics 6.7 proof open
36 Algebra 6.7 proof open
37 Algebra 6.7 proof open
38 Combinatorics 7.1 proof open
39 Number theory 7.1 proof open
40 Geometry 7.2 proof open
41 Combinatorics 7.3 proof open
42 Combinatorics 7.7 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.