International Mathematical Olympiad 2012 (Mar del Plata, Argentina) Scores

At the 2012 IMO held in Mar del Plata, Argentina, 547 contestants from 100 countries competed. 51 gold medals were awarded to those scoring at least 28; 88 silver medals were awarded to those scoring from 21 to 27; and 137 bronze medals were awarded to those scoring from 14 to 20.

Further statistics are shown below. Detailed tables of results by country or contestant are available:

Total scores of each country, in descending order of total score (the IMO is an individual competition, so country orderings are unofficial only).
Total scores of each country, in alphabetical order.
Individual scores, in descending order of score.
Individual scores, in order of contestant code.

The maximum individual score possible was 42 (which only one contestant attained). The mean individual score was 14.355, with a standard deviation of 8.845. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	1
41	0
40	1
39	1
38	4
37	1
36	2
35	4
34	2
33	5
32	2
31	3
30	3
29	3
28	19
27	9
26	3
25	8
24	13
23	11
22	16
21	28
20	11
19	12
18	19
17	22
16	25
15	25
14	23
13	25
12	14
11	34
10	23
9	25
8	27
7	17
6	8
5	15
4	18
3	15
2	16
1	15
0	19

The following table shows the maximum attainable score, mean score and standard deviation of scores for each individual question.

Question number	1	2	3	4	5	6
Maximum score	7	7	7	7	7	7
Mean score	5.625	2.550	0.413	3.766	1.664	0.336
Standard deviation	2.440	3.145	1.259	2.473	2.596	1.149

The following table shows the correlation coefficients between the scores on each pair of questions. To make sense of these figures you will probably wish to look at the problems themselves (from Mathlinks) to see which are on similar or different topics.

	1	2	3	4	5	6
1		0.325	0.140	0.463	0.331	0.110
2	0.325		0.329	0.369	0.408	0.256
3	0.140	0.329		0.268	0.315	0.538
4	0.463	0.369	0.268		0.395	0.217
5	0.331	0.408	0.315	0.395		0.322
6	0.110	0.256	0.538	0.217	0.322

The following table shows the distribution of scores on each individual question with the total number of each score on any question.

	Score 0	Score 1	Score 2	Score 3	Score 4	Score 5	Score 6	Score 7
Question 1	41	37	15	24	16	11	2	401
Question 2	263	83	8	5	8	2	7	171
Question 3	480	11	4	31	7	6	0	8
Question 4	53	65	95	74	47	26	44	143
Question 5	348	17	29	45	15	4	3	86
Question 6	473	39	12	3	9	0	1	10
Total	1658	252	163	182	102	49	57	819

Return to IMO Scores home page
Return to my mathematics page
Return to my home page

Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 9 October 2016

Score	Number of contestants
42	1
41	0
40	1
39	1
38	4
37	1
36	2
35	4
34	2
33	5
32	2
31	3
30	3
29	3
28	19
27	9
26	3
25	8
24	13
23	11
22	16
21	28
20	11
19	12
18	19
17	22
16	25
15	25
14	23
13	25
12	14
11	34
10	23
9	25
8	27
7	17
6	8
5	15
4	18
3	15
2	16
1	15
0	19

Score	Number of contestants
42	1
41	0
40	1
39	1
38	4
37	1
36	2
35	4
34	2
33	5
32	2
31	3
30	3
29	3
28	19
27	9
26	3
25	8
24	13
23	11
22	16
21	28
20	11
19	12
18	19
17	22
16	25
15	25
14	23
13	25
12	14
11	34
10	23
9	25
8	27
7	17
6	8
5	15
4	18
3	15
2	16
1	15
0	19

Score	Number of contestants
42	1
41	0
40	1
39	1
38	4
37	1
36	2
35	4
34	2
33	5
32	2
31	3
30	3
29	3
28	19
27	9
26	3
25	8
24	13
23	11
22	16
21	28
20	11
19	12
18	19
17	22
16	25
15	25
14	23
13	25
12	14
11	34
10	23
9	25
8	27
7	17
6	8
5	15
4	18
3	15
2	16
1	15
0	19