2008 AMC8 Report for all schools in Michigan
Number of schools returning results 66
Average of school highest score 18.47
Average school team score 52.18
# of State Student Participants 5492
Overall State Average Score 10.19
Average Score by Grade level
Grade # of Students Average
5th 75 13.11
6th 913 8.95
7th 1906 9.88
8th 2549 10.78
Number of Female Students 2590
Average Score of Female Students 9.68
Average Female Scores by Grade
Grade # of Students Average
5th 22 12.00
6th 445 8.56
7th 888 9.42
8th 1213 10.22
Number of Male Participants 2825
Average Score of Male Participants 10.65
Average score for Males by Grade
Grade # of Students Average
5th 52 13.46
6th 460 9.32
7th 982 10.28
8th 1310 11.28
2008 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 2 0 2
24 9 2 11
23 19 6 25
22 29 3 33
21 28 8 37
20 39 13 52
19 57 14 76
18 58 35 95
17 68 39 107
16 86 65 152
15 122 84 207
14 149 130 283
13 197 128 328
12 178 182 364
11 215 228 455
10 279 275 563
9 315 304 627
8 254 286 551
7 253 302 561
6 183 223 410
5 152 151 306
4 84 59 144
3 28 39 68
2 16 10 26
1 3 0 3
0 (@) 0 0 0
0 ($) 2 4 6
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2008 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 2
24 2 0 4 5
23 0 0 4 21
22 3 3 7 20
21 2 7 13 14
20 3 3 16 29
19 1 8 22 45
18 3 10 26 56
17 4 12 35 54
16 3 20 44 84
15 6 15 68 115
14 3 19 96 164
13 9 43 111 164
12 4 33 110 211
11 6 70 153 222
10 8 80 188 275
9 7 124 234 259
8 4 109 212 220
7 3 121 214 220
6 2 94 150 160
5 1 78 101 126
4 0 46 48 50
3 0 14 36 18
2 1 4 9 12
1 0 0 2 1
0(@) 0 0 3 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
2008 American Mathematics Contest 8
Number of Schools with 3+ students
Achieving team Scores
SCORE school count
73 2
71 2
70 1
69 2
68 2
67 1
66 1
64 1
63 3
60 2
59 2
58 3
57 1
56 2
55 1
54 1
53 1
52 3
51 4
50 2
49 1
48 2
47 4
46 2
45 1
44 4
43 4
42 1
41 1
40 2
39 3
33 2
30 1
29 1
Table of Item Difficulty for the 2008
American Mathematics Contest 8
Tabulation of responses by 5492 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.37 87.20* 6.94 3.28 0.11 0.11 0.00
2 53.13* 14.80 8.23 17.04 6.12 0.64 0.04
3 73.32* 6.76 2.46 3.86 13.40 0.13 0.07
4 5.24 15.06 63.35* 11.47 4.01 0.82 0.05
5 6.57 11.00 9.36 16.15 56.06* 0.80 0.05
6 33.30 12.65 2.90 49.85* 1.11 0.18 0.00
7 6.05 6.12 8.18 18.88 59.89* 0.75 0.15
8 9.87 5.01 9.74 72.00* 3.10 0.25 0.04
9 5.26 2.48 2.49 20.05* 69.12 0.51 0.09
10 43.54 8.63 11.67 29.08* 6.57 0.51 0.00
11 70.47* 13.84 7.39 3.22 4.44 0.55 0.09
12 11.03 25.78 29.42* 18.74* 14.20* 0.71 0.11
13 4.88 8.90 37.53* 10.60 36.20 1.71 0.18
14 25.44 23.54 21.18* 6.88 22.14 0.71 0.11
15 20.05 32.06* 23.87 14.93 6.63 2.42 0.04
16 17.52 20.94 14.95 35.51* 9.27 1.73 0.09
17 22.07 27.15 18.32 23.02* 7.01 2.37 0.07
18 25.95 18.68 17.77 13.16 21.47* 2.80 0.16
19 37.96 21.19* 10.76 19.45 8.30 2.20 0.13
20 18.21 21.32* 33.61 12.86 10.20 3.73 0.07
21 43.99 18.65 17.83* 12.47 3.08 3.81 0.18
22 25.09* 22.36 18.77 18.39 10.83 4.26 0.29
23 11.22 19.99 22.87* 29.79 10.85 5.08 0.20
24 30.30 20.56 23.02* 11.05 9.71 5.15 0.22
25 20.36* 17.44 19.17 15.95 21.80 5.15 0.13
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem