International Mathematical Olympiad 2000 (Taejon, South Korea) Scores

At the 2000 IMO held in Taejon, South Korea, 461 contestants from 82 countries competed. 39 gold medals were awarded to those scoring at least 30; 71 silver medals were awarded to those scoring from 21 to 29; and 119 bronze medals were awarded to those scoring from 11 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 4 contestants attained). The mean individual score was 13.384, with a standard deviation of 9.802. The following table shows how many contestants attained each possible score.

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

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	4.095	2.768	0.655	3.182	1.633	1.050
Standard deviation	3.018	2.648	1.482	2.553	2.551	2.044

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		0.405	0.260	0.228	0.430	0.411
2	0.405		0.338	0.265	0.513	0.410
3	0.260	0.338		0.404	0.410	0.363
4	0.228	0.265	0.404		0.367	0.102
5	0.430	0.513	0.410	0.367		0.454
6	0.411	0.410	0.363	0.102	0.454

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	118	11	44	37	22	4	5	220
Question 2	50	213	41	13	6	18	12	108
Question 3	335	60	29	13	6	2	1	15
Question 4	85	78	62	49	28	29	49	81
Question 5	257	82	16	12	14	1	11	68
Question 6	335	5	51	15	11	9	2	33
Total	1180	449	243	139	87	63	80	525

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

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

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

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