International Mathematical Olympiad 2004 (Athens, Greece) Scores

At the 2004 IMO held in Athens, Greece, 486 contestants from 85 countries competed. 45 gold medals were awarded to those scoring at least 32; 78 silver medals were awarded to those scoring from 24 to 31; and 120 bronze medals were awarded to those scoring from 16 to 23.

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 4 contestants attained). The mean individual score was 16.226, with a standard deviation of 10.527. The following table shows how many contestants attained each possible score.

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

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	4.603	2.761	1.012	4.080	2.512	1.257
Standard deviation	2.831	2.523	1.432	3.188	2.397	2.191

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		0.359	0.292	0.503	0.454	0.278
2	0.359		0.371	0.509	0.449	0.532
3	0.292	0.371		0.322	0.372	0.498
4	0.503	0.509	0.322		0.422	0.418
5	0.454	0.449	0.372	0.422		0.419
6	0.278	0.532	0.498	0.418	0.419

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	94	29	21	19	9	2	121	191
Question 2	79	158	57	32	23	23	31	83
Question 3	249	100	80	30	15	1	0	11
Question 4	140	33	27	16	8	6	6	250
Question 5	157	57	18	124	35	18	13	64
Question 6	289	85	33	14	7	6	4	48
Total	1008	462	236	235	97	56	175	647

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Contact: Joseph Myers (jsm@polyomino.org.uk)
Last updated: 5 January 2016

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

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

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