2009 AMC8 Report for all schools in Colorado
Number of schools returning results 31
Average of school highest score 16.71
Average school team score 42.90
# of State Student Participants 1506
Overall State Average Score 9.60
Average Score by Grade level
Grade # of Students Average
5th 79 8.11
6th 235 8.92
7th 494 9.37
8th 680 10.20
Number of Female Students 703
Average Score of Female Students 9.28
Average Female Scores by Grade
Grade # of Students Average
5th 36 7.86
6th 106 8.49
7th 227 9.10
8th 326 9.80
Number of Male Participants 769
Average Score of Male Participants 9.91
Average score for Males by Grade
Grade # of Students Average
5th 42 8.40
6th 126 9.30
7th 255 9.63
8th 342 10.56
2009 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25
24 2 2
23 2 2
22
21 1 2
20 1 1
19 6 4 10
18 5 4 10
17 13 9 22
16 15 11 26
15 29 16 45
14 47 31 79
13 49 47 96
12 65 47 113
11 74 52 132
10 88 90 187
9 85 80 168
8 110 92 205
7 55 83 141
6 60 54 115
5 28 38 70
4 15 27 42
3 15 13 28
2 3 3
1
0 (@) 1 1
0 ($) 5 6
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2009 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25
24 1 1
23 2
22
21 1 1
20 1
19 1 4 5
18 3 2 5
17 1 3 7 10
16 7 8 11
15 1 6 11 27
14 3 8 27 41
13 4 11 38 43
12 3 13 33 64
11 6 12 34 76
10 5 23 63 93
9 6 27 57 77
8 10 31 62 100
7 12 31 39 56
6 10 25 41 39
5 9 13 28 17
4 3 14 17 8
3 3 6 15 3
2 3
1
0(@) 2 1 3 1
0($)
(@) These students attempted some of the problems
($) These students attempted none of the problems
Note: Some students failed to indicate a grade
2009 American Mathematics Contest 8
Number of Schools with 3+ students
Achieving team Scores
SCORE school count
66 1
60 1
57 1
55 1
54 1
53 1
52 1
50 1
49 3
46 1
45 1
44 2
42 2
41 2
40 1
39 1
38 1
36 2
35 1
34 1
32 1
24 1
Table of Item Difficulty for the 2009
American Mathematics Contest 8
Tabulation of responses by 1506 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.13 0.07 2.19 1.73 95.42* 0.46 0.00
2 2.39 3.85 3.45 87.45* 2.12 0.73 0.00
3 12.08 2.79 81.08* 1.93 1.66 0.46 0.00
4 8.76 68.79* 2.59 8.70 10.09 1.00 0.07
5 4.65 15.94 17.60 54.91* 5.11 1.79 0.00
6 63.08* 10.42 9.56 5.58 9.30 2.06 0.00
7 3.32 7.57 35.99* 20.85 28.35 3.78 0.13
8 28.55 19.59* 42.43 3.32 4.71 1.26 0.13
9 15.54 38.45* 19.32 15.87 7.30 3.52 0.00
10 2.92 27.56 15.21 45.62* 7.44 1.13 0.13
11 6.77 16.67 25.23 28.02* 17.66 5.64 0.00
12 19.06 25.90 4.58 39.64* 8.17* 2.52 0.13
13 8.03 74.30* 5.78 7.24 1.79 2.86 0.00
14 3.98 8.03* 75.83 4.52 3.25 4.32 0.07
15 16.47 12.22 17.80 27.03* 19.52 6.91 0.07
16 32.54 18.19 16.47 12.28* 12.95 7.57 0.00
17 17.60 20.52* 23.24 16.60 11.82 10.23 0.00
18 25.10 10.42 34.20* 12.62 9.50 8.10 0.07
19 11.89 14.94 18.13 17.86* 25.63 11.22 0.33
20 17.46 29.95 10.42 18.06* 12.08 12.02 0.00
21 15.21 33.40 14.81 14.81* 6.37 15.27 0.13
22 10.49 12.15 17.33 20.98* 24.24 14.74 0.07
23 9.30 24.90* 17.13 20.72 10.69 17.07 0.20
24 15.87 18.13 21.71 15.01 9.69* 19.26 0.33
25 13.41 17.73 13.68 15.21 19.46* 20.52 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem