Maths Olympiad Prep

Library /NZMO Round One

NZMO Round One

41 problems here, rated 4.1 to 7.5 on our scale (AIME to National Olympiad, round 2). 38 of them ask for a proof.

Algebra 7Combinatorics 8Geometry 14Number theory 12
#TopicDiffTypeYear
1 Combinatorics 4.1 answer open
2 Number theory 4.4 answer open
3 Geometry 4.5 proof open
4 Number theory 4.5 proof open
5 Algebra 4.7 proof open
6 Algebra 4.7 proof open
7 Number theory 4.7 proof open
8 Number theory 4.8 proof open
9 Geometry 4.8 proof open
10 Number theory 5.0 proof open
11 Geometry 5.1 proof open
12 Geometry 5.1 proof open
13 Number theory 5.3 proof open
14 Geometry 5.3 proof open
15 Geometry 5.4 proof open
16 Algebra 5.5 proof open
17 Geometry 5.5 proof open
18 Number theory 5.5 proof open
19 Combinatorics 5.6 proof open
20 Number theory 5.6 proof open
21 Algebra 5.6 answer open
22 Geometry 5.7 proof open
23 Geometry 5.7 proof open
24 Geometry 5.8 proof open
25 Combinatorics 5.8 proof open
26 Number theory 6.0 proof open
27 Number theory 6.0 proof open
28 Algebra 6.1 proof open
29 Combinatorics 6.2 proof open
30 Geometry 6.2 proof open
31 Algebra 6.3 proof open
32 Algebra 6.3 proof open
33 Combinatorics 6.3 proof open
34 Combinatorics 6.4 proof open
35 Geometry 6.6 proof open
36 Geometry 6.7 proof open
37 Combinatorics 7.0 proof open
38 Combinatorics 7.1 proof open
39 Geometry 7.2 proof open
40 Number theory 7.4 proof open
41 Number theory 7.5 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.