2005 AMC 8 General Statistics
Number of schools returning results
2,504
Number of Participants
143,428
Number of Female Participants
67,655
Number of Male Participants
73,275
.
Average Top Score
17.51
Average School Team Score (sum of top 3 scores, 75 possible pts)
46.16
Overall average score
9.835
Average score of Female Participants
9.32
Average score of Male Participants
10.34
Grade Level Average
Grade
Students
Score
.
Female Students
Female Scores
Male Students
Male Scores
4 & 5
2,014
8.05
876
7.45
1,129
8.53
6
14,268
8.16
6,525
7.52
7,589
8.73
7
48,418
9.37
22,613
8.83
25,153
9.86
8
76,877
10.52
37,042
9.99
38,633
11.03

Table of Problem Difficulty for the 2005
American Mathematics Competition 8
Tabulation of responses by 143,428 Students
Percent of Responses
PROBLEM A B C D E OMITS ?
1 0.85 65.26 * 25.44 7.86 0.21 0.37 0.01
2 11.61 16.07 64.02 * 3.61 3.84 0.81 0.04
3 5.68 7.40 33.92 43.60 * 8.46 0.88 0.06
4 25.85 4.51 56.10 * 9.11 3.29 1.09 0.04
5 6.44 61.09 * 9.05 4.00 18.84 0.49 0.09
6 17.10 18.62 31.19 * 16.92 14.39 1.71 0.07
7 24.54 22.26 * 8.16 40.89 3.08 1.00 0.08
8 14.42 10.74 11.87 8.80 52.69 * 1.35 0.14
9 12.91 20.33 17.45 40.37 * 6.30 2.58 0.06
10 3.81 3.20 3.24 84.82 * 3.87 1.03 0.04
11 8.28 7.72 61.33 * 7.39 12.85 2.38 0.05
12 4.91 5.90 22.63 53.86 * 11.10 1.52 0.09
13 18.24 44.19 24.92 * 6.43 4.53 1.62 0.07
14 15.07 35.54 * 6.29 20.86 19.06 3.05 0.12
15 18.42 22.75 26.87 * 11.75 15.46 4.65 0.10
16 5.64 8.38 11.17 19.42 * 52.19 3.05 0.15
17 11.89 3.27 30.19 6.61 45.49 * 2.35 0.20
18 25.82 19.00 30.44 * 15.06 5.55 4.02 0.11
19 38.79 * 24.51 16.54 7.39 7.64 4.99 0.16
20 25.35 * 21.69 21.93 16.06 6.97 7.86 0.14
21 24.63 35.49 23.24 * 5.90 5.16 5.43 0.14
22 11.46 15.73 21.25 25.85 17.63 * 7.85 0.22
23 10.23 22.18 * 27.61 14.18 14.76 10.81 0.23
24 13.14 16.00 * 23.55 17.67 18.22 11.26 0.17
25 22.05 * 23.26 18.02 13.58 10.52 12.49 0.08
( * ) Correct Response
( ? ) Response the computer was unable to read due to incomplete erasures or two answers marked for the same problem
Breakdown of Scores
Male/Female
Score
Grade
Male
Female
Total*
5
6
7
8
68
8
77
25
0
0
18
58
146
32
184
24
0
5
49
128
196
60
257
23
1
8
66
178
308
102
414
22
1
13
120
279
481
164
657
21
9
17
160
466
698
249
959
20
6
38
233
673
949
389
1,359
19
16
51
304
977
1,236
662
1,926
18
11
61
493
1,349
1,761
949
2,762
17
18
125
727
1,872
2,428
1,371
3,847
16
30
147
1,040
2,598
3,206
2,052
5,357
15
39
242
1,437
3,581
4,085
2,972
7,168
14
60
369
2,082
4,569
5,002
3,939
9,085
13
89
525
2,761
5,610
5,964
4,908
11,080
12
104
749
3,497
6,583
6,821
6,033
13,103
11
123
988
4,263
7,557
6,963
6,711
13,907
10
143
1,256
4,559
7,766
7,171
7,109
14,519
9
168
1,376
5,126
7,665
6,581
7,102
13,915
8
198
1,592
5,113
6,807
5,976
6,756
12,938
7
196
1,764
4,765
6,042
4,914
5,901
11,017
6
238
1,616
4,257
4,775
3,625
4,338
8,123
5
193
1,336
3,167
3,308
2,383
3,014
5,511
4
164
994
2,140
2,129
1,357
1,689
3,112
3
105
580
1,216
1,156
577
740
1,341
2
56
272
529
459
183
232
425
1
11
93
169
143
34
48
84
0(@)
1
18
34
28
162
125
301
0 ($)
34
33
93
121
(*)
(@)
( $ )
Note:		 Total includes students who failed to mark their gender
These students attempted some of the problems
These students attempted none of the problems
Some students failed to indicate a grade
2005 State by State Statistics
United States
District of Columbia

Kansas

Missouri

North Dakota

Texas
Canada
Other International

The AMC Web Site was last updated on 1/13/2006