2006 AMC8 Report for all schools in Michigan
Number of schools returning results 80
Average of school highest score 17.64
Average school team score 48.66
# of State Student Participants 6310
Overall State Average Score 9.34
Average Score by Grade level
Grade # of Students Average
5th 70 8.80
6th 879 8.06
7th 2185 9.07
8th 3105 9.92
Number of Female Students 3033
Average Score of Female Students 9.00
Average Female Scores by Grade
Grade # of Students Average
5th 31 8.58
6th 396 7.60
7th 1018 8.71
8th 1558 9.54
Number of Male Participants 3189
Average Score of Male Participants 9.68
Average score for Males by Grade
Grade # of Students Average
5th 38 9.13
6th 470 8.45
7th 1136 9.38
8th 1515 10.30
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 7 2 9
24 12 1 13
23 6 7 14
22 8 3 11
21 16 3 19
20 14 6 20
19 18 7 25
18 33 18 53
17 59 28 88
16 60 47 108
15 94 48 143
14 137 98 235
13 150 131 285
12 209 198 415
11 275 278 558
10 348 324 684
9 403 392 807
8 421 378 814
7 346 405 757
6 245 295 549
5 166 173 345
4 102 105 209
3 39 56 97
2 15 19 34
1 2 4 6
0 (@) 1 1 2
0 ($) 3 6 10
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2006 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25 0 0 0 9
24 0 0 5 8
23 0 1 3 10
22 0 2 4 5
21 0 3 8 8
20 0 1 6 13
19 0 3 6 16
18 3 7 11 31
17 1 7 20 60
16 0 6 24 77
15 3 8 36 96
14 4 10 66 152
13 2 23 83 172
12 4 28 128 251
11 3 49 194 302
10 8 70 283 320
9 8 115 288 387
8 5 137 314 352
7 10 123 273 339
6 4 116 202 217
5 3 85 114 141
4 6 55 60 85
3 3 18 39 37
2 1 9 10 14
1 1 0 4 1
0(@) 1 3 4 2
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 2006
American Mathematics Contest 8
Tabulation of responses by 6310 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.40 0.89 4.20 92.98* 1.35 0.16 0.03
2 5.28 3.22 86.99* 1.58 2.46 0.48 0.00
3 40.10* 7.43 26.29 14.01 11.30 0.81 0.06
4 4.94 63.12* 13.30 12.39 5.86 0.35 0.03
5 8.51 4.99 4.68 62.17* 18.53 1.05 0.08
6 7.53 26.64 47.26* 6.96 11.09 0.51 0.02
7 43.99 14.23* 10.22 15.85 14.88 0.82 0.00
8 9.83 6.20 12.42 11.82 58.75* 0.82 0.16
9 29.45 16.39 30.21* 11.55 11.06 1.28 0.06
10 19.16* 37.04 22.55 11.62 8.61 1.00 0.03
11 20.24 34.61 16.15* 18.54 8.40 1.93 0.13
12 5.15 6.26 35.88 41.20* 10.76 0.74 0.00
13 8.94 17.32 31.08 23.36* 17.59 1.62 0.10
14 8.48 74.25* 5.67 6.12 4.41 0.94 0.14
15 24.26 13.17 37.56* 12.69 9.71 2.54 0.06
16 17.04 20.89 23.49 13.88 20.54* 4.14 0.03
17 7.26 24.39* 12.03 39.64 13.90 2.69 0.10
18 10.17 14.06 20.92 20.89* 29.52 4.33 0.11
19 11.13 13.91 13.65 51.32* 5.53 4.33 0.14
20 11.87 23.30 28.99* 17.77 12.63 5.39 0.06
21 15.59* 14.04 20.33 23.58 19.48 6.75 0.22
22 22.69 29.94 17.53 15.53* 7.10 7.08 0.13
23 17.27* 16.50 18.97 12.35 26.86 7.84 0.21
24 13.00* 17.27 28.67 18.67 13.03 9.16 0.21
25 16.99 19.16* 20.92 17.13 15.64 10.14 0.02
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem