2006 AMC8 Report for all schools in Colorado
Number of schools returning results 30
Average of school highest score 18.17
Average school team score 49.70
# of State Student Participants 2089
Overall State Average Score 10.21
Average Score by Grade level
Grade # of Students Average
5th 63 6.78
6th 281 8.77
7th 531 10.07
8th 1184 10.83
Number of Female Students 930
Average Score of Female Students 9.91
Average Female Scores by Grade
Grade # of Students Average
5th 24 6.50
6th 123 8.63
7th 236 9.66
8th 537 10.49
Number of Male Participants 1113
Average Score of Male Participants 10.51
Average score for Males by Grade
Grade # of Students Average
5th 37 7.05
6th 154 8.85
7th 279 10.48
8th 632 11.14
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 2 0 2
24 1 0 1
23 2 2 4
22 8 1 9
21 3 1 4
20 8 0 9
19 8 6 15
18 19 10 29
17 20 15 36
16 36 17 53
15 44 30 75
14 63 48 115
13 85 76 162
12 108 63 173
11 114 102 221
10 129 105 238
9 129 130 263
8 98 101 204
7 93 97 194
6 51 48 104
5 51 42 95
4 22 20 45
3 8 9 19
2 5 4 9
1 1 1 2
0 (@) 1 0 1
0 ($) 4 2 7
(@) These students attempted some of the problems
($) 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 2
24 0 0 0 1
23 0 0 1 3
22 0 1 2 6
21 0 0 1 3
20 0 0 3 6
19 0 2 3 9
18 1 1 6 21
17 0 2 5 28
16 0 4 12 37
15 0 5 17 53
14 0 8 33 74
13 2 10 40 108
12 1 17 46 107
11 2 23 57 133
10 2 28 60 144
9 5 41 65 150
8 9 33 57 99
7 13 35 48 96
6 6 27 33 37
5 7 28 18 42
4 8 12 11 13
3 4 1 9 5
2 3 1 2 3
1 0 0 0 2
0(@) 0 2 2 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 2089 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.29 0.96 4.98 92.01* 1.44 0.34 0.00
2 4.26 1.91 88.99* 1.87 2.30 0.67 0.00
3 47.39* 7.18 21.16 12.02 10.91 1.34 0.00
4 4.21 69.89* 11.58 10.00 3.69 0.62 0.00
5 6.70 3.93 4.64 68.41* 14.65 1.58 0.10
6 4.83 19.20 59.02* 6.75 9.57 0.57 0.05
7 37.19 23.50* 10.29 13.16 14.70 1.10 0.05
8 8.43 5.70 9.57 9.86 65.34* 0.91 0.19
9 24.99 17.33 33.41* 10.87 11.15 2.25 0.00
10 26.14* 32.41 21.35 11.39 7.42 1.29 0.00
11 21.92 32.31 17.28* 17.42 8.52 2.54 0.00
12 4.07 5.46 35.71 44.04* 9.72 0.96 0.05
13 7.56 16.56 27.86 28.00* 16.85 2.97 0.19
14 6.89 77.98* 4.79 5.17 3.49 1.68 0.00
15 19.91 10.48 41.50* 13.45 10.24 4.26 0.14
16 18.38 16.56 23.46 14.50 21.11* 5.89 0.10
17 8.14 26.14* 11.63 36.72 13.16 4.12 0.10
18 7.99 13.55 23.22 22.64* 27.29 5.27 0.05
19 9.96 13.45 12.11 52.85* 5.60 5.98 0.05
20 10.72 20.82 30.59* 17.47 12.97 7.32 0.10
21 16.80* 14.65 21.73 19.96 18.38 8.38 0.10
22 20.58 28.82 15.84 17.14* 8.62 8.76 0.24
23 18.05* 17.19 18.19 12.45 23.79 9.96 0.38
24 13.07* 14.98 25.42 20.73 14.07 11.63 0.10
25 16.13 20.06* 20.25 14.94 15.65 12.92 0.05
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem