Library /Philippine Mathematical Olympiad

Philippine Mathematical Olympiad

128 problems here, rated 3.9 to 8 on our scale (AMC 10/12 to Shortlist). 109 of them ask for a proof.

Algebra 46Combinatorics 16Geometry 35Number theory 31

#	Topic	Diff	Type	Year
1	Combinatorics	3.9	answer	—	open
2	Combinatorics	4.0	answer	—	open
3	Number theory	4.0	answer	—	open
4	Number theory	4.1	answer	—	open
5	Geometry	4.2	answer	—	open
6	Algebra	4.2	answer	—	open
7	Algebra	4.2	answer	—	open
8	Algebra	4.3	answer	—	open
9	Algebra	4.4	proof	—	open
10	Number theory	4.5	answer	—	open
11	Algebra	4.6	answer	—	open
12	Algebra	4.6	answer	—	open
13	Number theory	4.7	answer	—	open
14	Algebra	4.8	proof	—	open
15	Geometry	4.8	proof	—	open
16	Geometry	4.9	proof	—	open
17	Algebra	4.9	proof	—	open
18	Number theory	4.9	answer	—	open
19	Combinatorics	4.9	answer	—	open
20	Algebra	4.9	answer	—	open
21	Algebra	4.9	answer	—	open
22	Algebra	5.0	proof	—	open
23	Algebra	5.0	proof	—	open
24	Combinatorics	5.0	proof	—	open
25	Geometry	5.0	proof	—	open
26	Geometry	5.0	answer	—	open
27	Algebra	5.0	proof	—	open
28	Geometry	5.0	proof	—	open
29	Combinatorics	5.0	proof	—	open
30	Number theory	5.0	proof	—	open
31	Geometry	5.0	proof	—	open
32	Algebra	5.0	proof	—	open
33	Geometry	5.1	proof	—	open
34	Combinatorics	5.1	proof	—	open
35	Number theory	5.1	proof	—	open
36	Geometry	5.1	proof	—	open
37	Number theory	5.1	proof	—	open
38	Algebra	5.1	proof	—	open
39	Geometry	5.1	proof	—	open
40	Geometry	5.1	proof	—	open
41	Algebra	5.2	proof	—	open
42	Algebra	5.2	proof	—	open
43	Number theory	5.2	proof	—	open
44	Algebra	5.2	proof	—	open
45	Algebra	5.2	proof	—	open
46	Algebra	5.2	proof	—	open
47	Algebra	5.2	proof	—	open
48	Geometry	5.2	proof	—	open
49	Geometry	5.2	proof	—	open
50	Geometry	5.2	proof	—	open
51	Combinatorics	5.2	proof	—	open
52	Algebra	5.2	proof	—	open
53	Algebra	5.3	proof	—	open
54	Combinatorics	5.3	answer	—	open
55	Number theory	5.3	proof	—	open
56	Number theory	5.3	proof	—	open
57	Geometry	5.3	proof	—	open
58	Algebra	5.3	proof	—	open
59	Algebra	5.3	proof	—	open
60	Number theory	5.3	proof	—	open
61	Algebra	5.3	proof	—	open
62	Algebra	5.3	proof	—	open
63	Number theory	5.3	proof	—	open
64	Algebra	5.3	proof	—	open
65	Number theory	5.3	proof	—	open
66	Geometry	5.4	proof	—	open
67	Algebra	5.4	proof	—	open
68	Algebra	5.4	proof	—	open
69	Algebra	5.4	proof	—	open
70	Number theory	5.4	proof	—	open
71	Algebra	5.4	proof	—	open
72	Geometry	5.5	proof	—	open
73	Geometry	5.5	proof	—	open
74	Number theory	5.5	proof	—	open
75	Number theory	5.6	proof	—	open
76	Algebra	5.6	proof	—	open
77	Geometry	5.6	proof	—	open
78	Algebra	5.6	proof	—	open
79	Geometry	5.7	proof	—	open
80	Geometry	5.7	proof	—	open
81	Number theory	5.7	proof	—	open
82	Combinatorics	5.7	proof	—	open
83	Number theory	5.7	proof	—	open
84	Geometry	5.7	proof	—	open
85	Geometry	5.8	proof	—	open
86	Algebra	5.8	answer	—	open
87	Number theory	5.9	proof	—	open
88	Algebra	6.0	proof	—	open
89	Number theory	6.0	proof	—	open
90	Algebra	6.0	proof	—	open
91	Combinatorics	6.0	proof	—	open
92	Number theory	6.0	proof	—	open
93	Geometry	6.0	proof	—	open
94	Number theory	6.1	proof	—	open
95	Geometry	6.1	proof	—	open
96	Number theory	6.1	proof	—	open
97	Combinatorics	6.1	proof	—	open
98	Geometry	6.2	proof	—	open
99	Geometry	6.2	proof	—	open
100	Algebra	6.2	proof	—	open
101	Number theory	6.3	proof	—	open
102	Algebra	6.3	proof	—	open
103	Number theory	6.3	proof	—	open
104	Algebra	6.4	proof	—	open
105	Geometry	6.4	proof	—	open
106	Geometry	6.4	proof	—	open
107	Combinatorics	6.5	proof	—	open
108	Combinatorics	6.5	proof	—	open
109	Number theory	6.5	proof	—	open
110	Number theory	6.7	proof	—	open
111	Algebra	6.7	proof	—	open
112	Algebra	6.7	proof	—	open
113	Geometry	6.7	proof	—	open
114	Combinatorics	6.7	proof	—	open
115	Geometry	6.8	proof	—	open
116	Combinatorics	6.9	proof	—	open
117	Geometry	6.9	proof	—	open
118	Number theory	7.0	proof	—	open
119	Geometry	7.1	proof	—	open
120	Algebra	7.2	proof	—	open
121	Geometry	7.2	proof	—	open
122	Algebra	7.3	proof	—	open
123	Number theory	7.3	proof	—	open
124	Algebra	7.4	proof	—	open
125	Geometry	7.5	proof	—	open
126	Algebra	7.6	proof	—	open
127	Combinatorics	7.9	proof	—	open
128	Number theory	8.0	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.