International Mathematical Olympiad 2007 (Hanoi, Vietnam) Scores

At the 2007 IMO held in Hanoi, Vietnam, 520 contestants from 93 countries competed. 39 gold medals were awarded to those scoring at least 29; 83 silver medals were awarded to those scoring from 21 to 28; and 131 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 no‐one attained). The mean individual score was 13.937, with a standard deviation of 8.563. The following table shows how many contestants attained each possible score.

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

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	3.383	2.519	0.304	5.681	1.898	0.152
Standard deviation	2.916	2.851	0.868	2.456	2.592	0.735

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		0.385	0.275	0.362	0.428	0.201
2	0.385		0.295	0.337	0.521	0.216
3	0.275	0.295		0.126	0.366	0.133
4	0.362	0.337	0.126		0.288	0.110
5	0.428	0.521	0.366	0.288		0.297
6	0.201	0.216	0.133	0.110	0.297

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	176	13	8	105	18	18	21	161
Question 2	147	181	26	15	5	1	8	137
Question 3	437	42	23	11	3	1	1	2
Question 4	51	30	9	9	3	4	51	363
Question 5	210	155	38	10	3	4	6	94
Question 6	473	40	2	0	0	0	0	5
Total	1494	461	106	150	32	28	87	762

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

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

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

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