POM Problems and Solutions 2024 - 2025

PROBLEMS

September 2024:

October 2024:

November 2024:

Problems (Nov 24: Corrections to Math 5pt and CS 10pt)
Problems with hints
Solutions

December 2024:

Problems (Dec 31: Correction to Physics 5pt)
Problems with hints
Solutions (Feb 26: Correction to CS 5pt solution, added featured Chem 5pt solution by Andrew Timokhov)

January 2025:

POM 2024-2025 Winners

Gold Prize ($150 prize):
Sofya Salova, 236 points

Silver Prize ($100 prize):
Alexander Barchenkov, 213 points

Bronze Prize ($75 prize):
Alexander Miftakhutdinov, 175 points

Honorable Mentions ($25 prize):
Sabrina Avery, 169 points
Julia Gilman, 166 points
Anna Vasylenko, 166 points
Valerie Rabinovich, 164 points
Danny Yaskin, 163 points
Martin Eastwood, 163 points
Bryan Andrei, 160 points
Maria Merzlyakova, 159 points

Total: 134

N	Grade	POM score Sort ascending
1	9	236
2	9	213
3	7	175
4	8	169
5	9	166
6	10	166
7	9	164
8	11	163
9	10	163
10	8	160
11	10	159
12	9	146
13	8	140
14	10	139
15	8	139
16	8	139
17	10	135
18	10	131
19	10	131
20	12	130
21	7	130
22	9	125
23	9	120
24	9	120
25	9	119
26	8	119
27	7	119
28	9	115
29	8	114
30	8	112
31	10	112
32	7	112
33	9	111
34	7	108
35	11	107
36	8	105
37	9	103
38	9	101
39	9	99
40	12	98
41	9	96
42	9	95
43	11	94
44	8	93
45	9	92
46	12	91
47	8	91
48	9	90
49	12	89
50	8	89
51	9	88
52	9	86
53	7	86
54	10	85
55	11	84
56	8	84
57	7	84
58	11	83
59	9	82
60	9	81
61	11	80
62	8	80
63	10	80
64	11	79
65	7	79
66	10	78
67	9	78
68	10	77
69	9	77
70	8	76
71	10	75
72	8	75
73	9	68
74	10	67
75	9	67
76	10	67
77	9	66
78	7	66
79	10	58
80	10	54
81	11	53
82	7	52
83	8	50
84	11	48
85	9	47
86	10	47
87	7	46
88	10	46
89	11	43
90	7	40
91	11	40
92	8	39
93	10	38
94	8	38
95	10	34
96	9	34
97	10	32
98	9	31
99	10	29
100	8	29
101	9	27
102	9	26
103	12	24
104	11	24
105	8	24
106	10	24
107	9	23
108	9	22
109	7	21
110	7	21
111	11	20
112	12	18
113	8	18
114	11	17
115	11	15
116	7	13
117	9	12
118	8	10
119	7	10
120	8	9
121	9	8
122	8	8
123	7	8
124	8	7
125	7	7
126	12	5
127	9	5
128	10	5
129	9	5
130	8	5
131	8	4
132	9	3
133	7	2
134	11	0

POM Contest Rules:

There are two levels of participation: grade 8 and younger and grades 9-10. While problems will be same for all students, each group will compete independently and have its own winners.
You can join the competition at any time.
While solving the problems, you may consult the web, books and other published literature, and may receive help from other people who are not participating in the contest. We ask you to clearly indicate any help you received or sources you consulted in your solutions. You are not allowed to collaborate with other participants (this includes your siblings!).
The objective of POM is not to get the most points but instead to learn and get excited about STEM. Therefore, your submission must be written entirely by you, and in your own words. If your submission includes any diagrams, they must be drawn by you (computer software is allowed) and cannot be copied from the Internet. The use of any generative AI (ChatGPT, Claude, DALL-E, Gemini, etc.) is forbidden.
You may submit solutions to any number of problems (you can submit more than one problem from the same subject), but only six top scores each month will count towards your total score in the POM Competition.
Problems will be posted on the 15th day of each month. We expect your solutions by the 10th day of the next month. Solutions must be uploaded through the website; solutions won't be accepted by email.
On the 11th day of the next month, we will be posting hints for some of the problems. We will continue accepting solutions until 14th day of the month; however, solutions posted between days 10 and 14 will only receive 60% of the score. Several days after submissions close, we will release the official solutions for the problems.
All submitted solutions will be graded; you will be able to see your score and graders' comments in your account. If you disagree with the graders' decisions you can submit an appeal and your solution with get a second round of consideration.

If you have any questions, you can contact the POM Committee by emailing pom@sigmacamp.org

N	Grade	POM score Sort ascending
1	9	236
2	9	213
3	7	175
4	8	169
5	9	166
6	10	166
7	9	164
8	11	163
9	10	163
10	8	160
11	10	159
12	9	146
13	8	140
14	10	139
15	8	139
16	8	139
17	10	135
18	10	131
19	10	131
20	12	130
21	7	130
22	9	125
23	9	120
24	9	120
25	9	119
26	8	119
27	7	119
28	9	115
29	8	114
30	8	112
31	10	112
32	7	112
33	9	111
34	7	108
35	11	107
36	8	105
37	9	103
38	9	101
39	9	99
40	12	98
41	9	96
42	9	95
43	11	94
44	8	93
45	9	92
46	12	91
47	8	91
48	9	90
49	12	89
50	8	89
51	9	88
52	9	86
53	7	86
54	10	85
55	11	84
56	8	84
57	7	84
58	11	83
59	9	82
60	9	81
61	11	80
62	8	80
63	10	80
64	11	79
65	7	79
66	10	78
67	9	78
68	10	77
69	9	77
70	8	76
71	10	75
72	8	75
73	9	68
74	10	67
75	9	67
76	10	67
77	9	66
78	7	66
79	10	58
80	10	54
81	11	53
82	7	52
83	8	50
84	11	48
85	9	47
86	10	47
87	7	46
88	10	46
89	11	43
90	7	40
91	11	40
92	8	39
93	10	38
94	8	38
95	10	34
96	9	34
97	10	32
98	9	31
99	10	29
100	8	29
101	9	27
102	9	26
103	12	24
104	11	24
105	8	24
106	10	24
107	9	23
108	9	22
109	7	21
110	7	21
111	11	20
112	12	18
113	8	18
114	11	17
115	11	15
116	7	13
117	9	12
118	8	10
119	7	10
120	8	9
121	9	8
122	8	8
123	7	8
124	8	7
125	7	7
126	12	5
127	9	5
128	10	5
129	9	5
130	8	5
131	8	4
132	9	3
133	7	2
134	11	0

N	Grade	POM score Sort ascending
1	9	236
2	9	213
3	7	175
4	8	169
5	9	166
6	10	166
7	9	164
8	11	163
9	10	163
10	8	160
11	10	159
12	9	146
13	8	140
14	10	139
15	8	139
16	8	139
17	10	135
18	10	131
19	10	131
20	12	130
21	7	130
22	9	125
23	9	120
24	9	120
25	9	119
26	8	119
27	7	119
28	9	115
29	8	114
30	8	112
31	10	112
32	7	112
33	9	111
34	7	108
35	11	107
36	8	105
37	9	103
38	9	101
39	9	99
40	12	98
41	9	96
42	9	95
43	11	94
44	8	93
45	9	92
46	12	91
47	8	91
48	9	90
49	12	89
50	8	89
51	9	88
52	9	86
53	7	86
54	10	85
55	11	84
56	8	84
57	7	84
58	11	83
59	9	82
60	9	81
61	11	80
62	8	80
63	10	80
64	11	79
65	7	79
66	10	78
67	9	78
68	10	77
69	9	77
70	8	76
71	10	75
72	8	75
73	9	68
74	10	67
75	9	67
76	10	67
77	9	66
78	7	66
79	10	58
80	10	54
81	11	53
82	7	52
83	8	50
84	11	48
85	9	47
86	10	47
87	7	46
88	10	46
89	11	43
90	7	40
91	11	40
92	8	39
93	10	38
94	8	38
95	10	34
96	9	34
97	10	32
98	9	31
99	10	29
100	8	29
101	9	27
102	9	26
103	12	24
104	11	24
105	8	24
106	10	24
107	9	23
108	9	22
109	7	21
110	7	21
111	11	20
112	12	18
113	8	18
114	11	17
115	11	15
116	7	13
117	9	12
118	8	10
119	7	10
120	8	9
121	9	8
122	8	8
123	7	8
124	8	7
125	7	7
126	12	5
127	9	5
128	10	5
129	9	5
130	8	5
131	8	4
132	9	3
133	7	2
134	11	0

N	Grade	POM score Sort ascending
1	9	236
2	9	213
3	7	175
4	8	169
5	9	166
6	10	166
7	9	164
8	11	163
9	10	163
10	8	160
11	10	159
12	9	146
13	8	140
14	10	139
15	8	139
16	8	139
17	10	135
18	10	131
19	10	131
20	12	130
21	7	130
22	9	125
23	9	120
24	9	120
25	9	119
26	8	119
27	7	119
28	9	115
29	8	114
30	8	112
31	10	112
32	7	112
33	9	111
34	7	108
35	11	107
36	8	105
37	9	103
38	9	101
39	9	99
40	12	98
41	9	96
42	9	95
43	11	94
44	8	93
45	9	92
46	12	91
47	8	91
48	9	90
49	12	89
50	8	89
51	9	88
52	9	86
53	7	86
54	10	85
55	11	84
56	8	84
57	7	84
58	11	83
59	9	82
60	9	81
61	11	80
62	8	80
63	10	80
64	11	79
65	7	79
66	10	78
67	9	78
68	10	77
69	9	77
70	8	76
71	10	75
72	8	75
73	9	68
74	10	67
75	9	67
76	10	67
77	9	66
78	7	66
79	10	58
80	10	54
81	11	53
82	7	52
83	8	50
84	11	48
85	9	47
86	10	47
87	7	46
88	10	46
89	11	43
90	7	40
91	11	40
92	8	39
93	10	38
94	8	38
95	10	34
96	9	34
97	10	32
98	9	31
99	10	29
100	8	29
101	9	27
102	9	26
103	12	24
104	11	24
105	8	24
106	10	24
107	9	23
108	9	22
109	7	21
110	7	21
111	11	20
112	12	18
113	8	18
114	11	17
115	11	15
116	7	13
117	9	12
118	8	10
119	7	10
120	8	9
121	9	8
122	8	8
123	7	8
124	8	7
125	7	7
126	12	5
127	9	5
128	10	5
129	9	5
130	8	5
131	8	4
132	9	3
133	7	2
134	11	0