2007 AMC8 Report for all schools in Colorado
Number of schools returning results 26
Average of school highest score 17.35
Average school team score 45.73
# of State Student Participants 1427
Overall State Average Score 10.51
Average Score by Grade level
Grade # of Students Average
5th 62 6.95
6th 159 9.17
7th 326 10.36
8th 861 11.08
Number of Female Students 622
Average Score of Female Students 10.02
Average Female Scores by Grade
Grade # of Students Average
5th 25 5.80
6th 69 8.87
7th 138 9.77
8th 386 10.63
Number of Male Participants 772
Average Score of Male Participants 10.88
Average score for Males by Grade
Grade # of Students Average
5th 37 7.73
6th 88 9.38
7th 182 10.82
8th 454 11.47
2007 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 0 1
24 0 1 1
23 1 0 1
22 4 0 4
21 3 1 4
20 9 2 11
19 6 3 9
18 15 5 21
17 21 11 33
16 35 7 44
15 37 29 67
14 55 37 93
13 67 41 110
12 63 59 128
11 81 72 155
10 79 76 158
9 82 76 163
8 78 57 141
7 44 55 99
6 34 31 67
5 20 25 46
4 21 24 45
3 8 6 14
2 4 4 8
1 0 0 0
0 (@) 0 0 0
0 ($) 4 0 4
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2007 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 1
24 0 0 0 1
23 0 0 0 1
22 0 0 0 4
21 0 0 0 4
20 0 0 3 7
19 0 0 1 8
18 0 2 4 15
17 1 2 8 21
16 1 3 8 32
15 0 4 14 49
14 1 6 28 58
13 0 10 26 72
12 2 12 28 84
11 4 13 28 110
10 5 16 38 97
9 3 21 35 101
8 5 23 38 71
7 9 13 31 46
6 5 11 10 38
5 8 8 12 18
4 14 9 9 12
3 2 3 1 8
2 2 2 2 2
1 0 0 0 0
0(@) 0 1 2 1
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 2007
American Mathematics Contest 8
Tabulation of responses by 1427 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.08 3.57 3.78 87.39* 1.89 0.28 0.00
2 18.64 3.64 3.57 5.33 68.19* 0.56 0.07
3 5.61 10.02 66.29* 12.89 3.85 1.12 0.21
4 5.54 15.00 4.13 50.32* 24.53 0.42 0.07
5 4.27 87.11* 4.48 1.61 2.17 0.35 0.00
6 6.73 29.50 30.83 4.70 26.42* 1.54 0.28
7 9.18 12.12 6.80 60.97* 9.32 1.54 0.07
8 5.54 64.89* 5.40 15.84 7.78 0.56 0.00
9 2.94 82.34* 2.73 2.59 8.83 0.56 0.00
10 29.71 8.76 34.20 19.55* 4.41 3.08 0.28
11 5.82 9.46 19.62 41.77* 21.72 1.47 0.14
12 54.66* 11.35 11.00 12.33 9.32 1.19 0.14
13 41.63 28.24 18.78* 6.80 2.59 1.96 0.00
14 43.31 15.07 17.52* 7.36 14.37 2.24 0.14
15 46.81* 6.38 5.54 20.60 18.92 1.61 0.14
16 28.87* 7.57 10.02 44.22 7.36 1.82 0.14
17 9.46 25.72 36.30* 19.69 6.31 2.45 0.07
18 7.36 16.89 17.38 46.39* 8.62 3.36 0.00
19 24.67 28.94 24.53* 10.23 6.80 4.41 0.42
20 27.19* 16.96 18.99 12.82 17.80 6.10 0.14
21 9.25 20.88 34.55 13.81* 15.63 5.82 0.07
22 8.69 26.98 23.76* 22.63 10.30 7.57 0.07
23 8.55 25.51* 35.25 14.51 9.46 6.66 0.07
24 24.46 23.27 17.87* 14.02 12.47 7.85 0.07
25 14.93 13.52* 35.25 13.03 13.67 9.53 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem