Maths Olympiad Prep

Library /IRL_ABooklet_2023

IRL_ABooklet_2023

42 problems here, rated 4.4 to 7.7 on our scale (AIME to National olympiad, round 2). 41 of them ask for a proof.

Algebra 16Combinatorics 5Geometry 15Number theory 6
#TopicDiffTypeYear
1 Geometry 4.4 proof open
2 Geometry 4.5 proof open
3 Algebra 4.7 proof open
4 Algebra 4.7 proof open
5 Algebra 4.9 proof open
6 Algebra 5.0 answer open
7 Number theory 5.0 proof open
8 Geometry 5.1 proof open
9 Geometry 5.2 proof open
10 Geometry 5.3 proof open
11 Algebra 5.4 proof open
12 Geometry 5.4 proof open
13 Geometry 5.4 proof open
14 Number theory 5.6 proof open
15 Combinatorics 5.6 proof open
16 Number theory 5.6 proof open
17 Algebra 5.6 proof open
18 Geometry 5.7 proof open
19 Geometry 5.9 proof open
20 Algebra 5.9 proof open
21 Geometry 6.0 proof open
22 Algebra 6.1 proof open
23 Geometry 6.1 proof open
24 Algebra 6.1 proof open
25 Geometry 6.3 proof open
26 Algebra 6.4 proof open
27 Geometry 6.5 proof open
28 Geometry 6.5 proof open
29 Combinatorics 6.6 proof open
30 Algebra 6.6 proof open
31 Number theory 6.6 proof open
32 Algebra 6.7 proof open
33 Algebra 6.8 proof open
34 Combinatorics 6.9 proof open
35 Number theory 6.9 proof open
36 Combinatorics 7.2 proof open
37 Number theory 7.2 proof open
38 Algebra 7.3 proof open
39 Algebra 7.3 proof open
40 Algebra 7.6 proof open
41 Geometry 7.6 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.