International Mathematical Olympiad 1995 (North York (Toronto), Canada) Scores

At the 1995 IMO held in North York (Toronto), Canada, 412 contestants from 73 countries competed. 30 gold medals were awarded to those scoring at least 37; 71 silver medals were awarded to those scoring from 29 to 36; and 100 bronze medals were awarded to those scoring from 19 to 28.

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 14 contestants attained). The mean individual score was 18.951, with a standard deviation of 11.676. The following table shows how many contestants attained each possible score.

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

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	5.056	1.709	3.126	4.592	3.410	1.058
Standard deviation	2.718	2.931	2.740	2.644	3.211	2.124

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		0.306	0.410	0.499	0.448	0.260
2	0.306		0.456	0.374	0.352	0.374
3	0.410	0.456		0.605	0.461	0.432
4	0.499	0.374	0.605		0.433	0.341
5	0.448	0.352	0.461	0.433		0.337
6	0.260	0.374	0.432	0.341	0.337

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	47	38	21	18	7	4	38	239
Question 2	299	7	5	1	1	4	5	90
Question 3	96	80	33	28	34	24	17	100
Question 4	43	57	16	18	25	37	48	168
Question 5	141	48	30	8	1	7	5	172
Question 6	291	37	22	12	5	5	6	34
Total	917	267	127	85	73	81	119	803

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

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

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

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