2005 State Report for Michigan
Number of schools returning results 95
Average of school highest score 17.07
Average school team score 47.34
# of State Student Participants 7340
Overall State Average Score 8.91
Average Score by Grade level
Grade # of Students Average
5th 116 7.48
6th 818 7.34
7th 2687 8.32
8th 3618 9.73
Number of Female Students 3515
Average Score of Female Students 8.46
Average Female Scores by Grade
Grade # of Students Average
5th 52 6.83
6th 396 6.51
7th 1297 7.96
8th 1737 9.31
Number of Male Participants 3715
Average Score of Male Participants 9.33
Average score for Males by Grade
Grade # of Students Average
5th 61 8.18
6th 412 8.17
7th 1359 8.66
8th 1837 10.13
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 7 0 7
24 5 0 5
23 6 1 7
22 12 8 20
21 7 8 16
20 29 14 43
19 25 5 31
18 39 24 64
17 59 22 81
16 86 45 133
15 95 57 153
14 140 110 255
13 202 135 342
12 249 221 478
11 340 272 622
10 343 313 667
9 404 376 792
8 370 402 777
7 354 408 771
6 348 382 740
5 250 295 562
4 174 204 385
3 106 120 229
2 43 66 110
1 15 23 39
0 (@) 4 0 4
0 ($) 3 4 7
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2005 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25 0 0 1 6
24 0 0 0 5
23 0 0 1 6
22 0 2 7 11
21 1 0 3 12
20 0 4 8 31
19 0 1 6 23
18 1 2 17 44
17 0 5 18 57
16 4 8 30 88
15 0 10 32 109
14 5 16 80 149
13 3 20 97 217
12 2 29 145 291
11 7 35 215 355
10 9 51 243 354
9 7 64 294 415
8 13 87 310 358
7 7 116 308 331
6 15 114 295 307
5 11 100 238 206
4 16 64 171 130
3 11 43 104 70
2 3 39 40 27
1 1 6 19 12
0(@) 0 2 5 4
0($) 0 0 0 0
(@) These students attempted some of the problems
($) These students attempted none of the problems
Note: Some students failed to indicate a grade
Table of Item Difficulty for the 2005
American Mathematics Contest 8
Tabulation of responses by 7340 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.75 58.53* 31.36 8.95 0.16 0.25 0.00
2 14.51 18.79 58.17* 3.96 4.10 0.45 0.01
3 7.47 8.98 35.60 39.77* 7.68 0.46 0.04
4 37.56 5.57 41.85* 11.21 3.09 0.65 0.05
5 7.52 55.95* 8.76 4.11 23.31 0.30 0.04
6 20.08 19.05 27.26* 16.88 15.75 0.95 0.03
7 23.54 18.83* 7.89 45.99 3.24 0.44 0.07
8 16.84 13.83 14.65 9.65 43.90* 1.08 0.07
9 12.68 21.57 19.99 37.79* 6.76 1.17 0.04
10 5.10 3.62 3.86 81.51* 5.16 0.74 0.01
11 7.87 8.30 60.57* 8.07 13.62 1.54 0.03
12 6.70 7.32 29.32 42.97* 12.45 1.14 0.10
13 23.66 41.28 19.06* 8.73 5.91 1.28 0.07
14 18.32 33.69* 6.38 21.05 18.27 2.14 0.15
15 19.46 25.79 26.76* 12.70 12.17 3.05 0.08
16 6.25 8.32 11.61 16.53* 55.19 2.03 0.07
17 12.48 3.57 32.52 6.68 42.78* 1.85 0.12
18 31.51 20.14 26.02* 13.39 6.08 2.71 0.15
19 37.10* 26.01 17.02 8.04 8.39 3.26 0.19
20 24.82* 23.15 23.53 16.08 7.14 5.11 0.18
21 27.90 36.47 20.82* 5.41 5.15 4.10 0.15
22 12.41 16.46 21.63 26.55 17.08* 5.69 0.16
23 10.69 21.87* 30.00 14.67 15.15 7.45 0.16
24 14.22 15.04* 24.96 17.56 20.20 7.83 0.18
25 21.98* 23.37 19.11 15.23 11.51 8.76 0.04
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem