International Mathematical Olympiad 2006 (Ljubljana, Slovenia) Scores

At the 2006 IMO held in Ljubljana, Slovenia, 498 contestants from 90 countries competed. 42 gold medals were awarded to those scoring at least 28; 89 silver medals were awarded to those scoring from 19 to 27; and 122 bronze medals were awarded to those scoring from 15 to 18.

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 3 contestants attained). The mean individual score was 14.474, with a standard deviation of 8.054. The following table shows how many contestants attained each possible score.

Score	Number of contestants
42	3
41	0
40	0
39	0
38	0
37	1
36	1
35	5
34	2
33	0
32	0
31	3
30	5
29	6
28	16
27	2
26	4
25	3
24	8
23	16
22	22
21	11
20	8
19	15
18	18
17	11
16	28
15	65
14	37
13	17
12	11
11	16
10	29
9	24
8	20
7	14
6	5
5	10
4	11
3	11
2	16
1	14
0	10

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	5.614	1.833	0.659	4.998	1.183	0.187
Standard deviation	2.497	2.500	1.685	2.480	2.152	0.988

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		0.300	0.191	0.491	0.259	0.105
2	0.300		0.259	0.330	0.400	0.273
3	0.191	0.259		0.243	0.343	0.262
4	0.491	0.330	0.243		0.357	0.108
5	0.259	0.400	0.343	0.357		0.330
6	0.105	0.273	0.262	0.108	0.330

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	61	9	14	12	10	27	7	358
Question 2	176	210	0	3	15	8	8	78
Question 3	365	95	4	1	1	2	2	28
Question 4	18	54	59	38	6	7	68	248
Question 5	303	101	8	25	6	5	2	48
Question 6	471	11	3	3	0	1	1	8
Total	1394	480	88	82	38	50	88	768

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

Score	Number of contestants
42	3
41	0
40	0
39	0
38	0
37	1
36	1
35	5
34	2
33	0
32	0
31	3
30	5
29	6
28	16
27	2
26	4
25	3
24	8
23	16
22	22
21	11
20	8
19	15
18	18
17	11
16	28
15	65
14	37
13	17
12	11
11	16
10	29
9	24
8	20
7	14
6	5
5	10
4	11
3	11
2	16
1	14
0	10

Score	Number of contestants
42	3
41	0
40	0
39	0
38	0
37	1
36	1
35	5
34	2
33	0
32	0
31	3
30	5
29	6
28	16
27	2
26	4
25	3
24	8
23	16
22	22
21	11
20	8
19	15
18	18
17	11
16	28
15	65
14	37
13	17
12	11
11	16
10	29
9	24
8	20
7	14
6	5
5	10
4	11
3	11
2	16
1	14
0	10

Score	Number of contestants
42	3
41	0
40	0
39	0
38	0
37	1
36	1
35	5
34	2
33	0
32	0
31	3
30	5
29	6
28	16
27	2
26	4
25	3
24	8
23	16
22	22
21	11
20	8
19	15
18	18
17	11
16	28
15	65
14	37
13	17
12	11
11	16
10	29
9	24
8	20
7	14
6	5
5	10
4	11
3	11
2	16
1	14
0	10