2005 State Report for Colorado
Number of schools returning results 27
Average of school highest score 17.81
Average school team score 49.15
# of State Student Participants 1511
Overall State Average Score 10.16
Average Score by Grade level
Grade # of Students Average
5th 70 6.90
6th 167 8.51
7th 454 9.95
8th 815 10.91
Number of Female Students 708
Average Score of Female Students 9.64
Average Female Scores by Grade
Grade # of Students Average
5th 31 6.13
6th 82 7.74
7th 205 9.41
8th 388 10.46
Number of Male Participants 785
Average Score of Male Participants 10.62
Average score for Males by Grade
Grade # of Students Average
5th 39 7.51
6th 84 9.27
7th 241 10.42
8th 419 11.30
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 1 0 1
23 2 1 3
22 5 0 5
21 0 2 2
20 6 3 9
19 7 5 13
18 19 10 29
17 27 13 41
16 32 16 48
15 38 27 66
14 51 44 95
13 67 43 111
12 67 49 117
11 65 79 147
10 65 62 130
9 79 59 140
8 68 67 135
7 62 67 130
6 49 53 104
5 29 52 82
4 22 28 50
3 14 17 32
2 5 7 12
1 0 1 1
0 (@) 2 0 2
0 ($) 3 3 6
(@) These students attempted some of the problems
($) 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 0 0
24 0 0 1 0
23 0 0 0 3
22 0 1 2 2
21 0 0 0 2
20 0 0 2 7
19 0 0 3 10
18 0 1 9 19
17 0 3 11 27
16 0 2 19 27
15 1 8 19 38
14 1 10 25 59
13 3 4 34 70
12 2 4 28 83
11 6 14 35 92
10 1 10 41 78
9 6 14 45 73
8 7 19 41 67
7 7 18 42 63
6 8 21 35 39
5 11 14 31 25
4 8 16 15 11
3 4 6 10 12
2 4 1 4 3
1 1 0 0 0
0(@) 0 1 2 5
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 1511 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.06 67.24* 24.69 6.49 0.07 0.46 0.00
2 11.32 15.55 64.73* 4.63 2.78 0.93 0.07
3 4.83 8.27 32.56 44.54* 9.00 0.66 0.13
4 21.58 5.36 59.56* 7.48 4.96 1.06 0.00
5 7.15 66.31* 8.67 3.51 13.77 0.53 0.07
6 17.21 18.27 32.63* 15.68 14.89 1.32 0.00
7 23.03 28.86* 10.59 32.83 3.31 1.19 0.20
8 14.82 10.13 12.24 8.54 53.08* 1.13 0.07
9 12.97 23.16 15.62 41.36* 4.63 2.25 0.00
10 3.84 2.05 2.58 86.76* 3.97 0.73 0.07
11 8.80 7.68 60.29* 7.21 14.82 0.99 0.20
12 4.90 6.22 21.11 54.33* 12.57 0.86 0.00
13 15.95 42.49 29.78* 5.82 4.83 1.13 0.00
14 15.88 35.27* 6.09 19.85 20.45 2.38 0.07
15 18.99 23.10 26.74* 11.52 15.35 4.17 0.13
16 4.70 6.68 10.13 23.49* 52.28 2.58 0.13
17 10.52 3.84 28.19 6.49 48.58* 2.32 0.07
18 25.08 21.05 29.32* 15.49 5.10 3.90 0.07
19 40.17* 24.29 17.01 6.42 7.02 4.77 0.33
20 25.81* 24.88 19.06 15.49 7.68 7.02 0.07
21 26.21 33.69 21.84* 6.62 5.49 6.09 0.07
22 10.59 15.55 22.83 26.54 16.61* 7.74 0.13
23 8.87 23.49* 26.21 15.82 15.16 10.13 0.33
24 10.99 14.63* 25.48 17.94 20.05 10.72 0.20
25 20.32* 23.69 17.67 14.89 11.52 11.85 0.07
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem