2006 AMC8 Report for all schools in Kansas
Number of schools returning results 52
Average of school highest score 17.19
Average school team score 46.90
# of State Student Participants 1928
Overall State Average Score 9.75
Average Score by Grade level
Grade # of Students Average
5th 103 6.90
6th 222 8.26
7th 607 9.52
8th 981 10.54
Number of Female Students 864
Average Score of Female Students 9.37
Average Female Scores by Grade
Grade # of Students Average
5th 44 6.20
6th 91 8.01
7th 294 9.10
8th 433 10.16
Number of Male Participants 1044
Average Score of Male Participants 10.08
Average score for Males by Grade
Grade # of Students Average
5th 59 7.42
6th 126 8.47
7th 306 9.89
8th 544 10.84
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 4 0 4
23 4 0 4
22 3 1 4
21 5 0 5
20 8 3 11
19 13 5 18
18 11 5 16
17 13 8 21
16 13 21 34
15 40 20 60
14 53 38 93
13 52 42 96
12 105 57 163
11 104 79 184
10 117 105 224
9 114 117 234
8 127 113 243
7 105 85 192
6 59 76 136
5 52 48 102
4 30 20 51
3 7 12 19
2 4 4 8
1 0 4 4
0 (@) 0 0 0
0 ($) 1 1 2
(@) These students attempted some of the problems
($) 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 0
24 0 0 3 1
23 0 0 0 4
22 1 0 1 2
21 0 0 1 4
20 1 1 2 7
19 0 0 2 15
18 0 0 2 14
17 1 1 3 16
16 1 1 9 23
15 0 3 18 39
14 0 5 32 53
13 1 7 29 59
12 1 10 49 102
11 1 21 52 110
10 5 18 82 118
9 8 30 68 125
8 18 34 86 105
7 17 27 64 81
6 13 23 51 48
5 13 22 29 37
4 14 12 13 11
3 4 4 7 4
2 1 2 2 3
1 2 1 1 0
0(@) 1 0 1 0
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 1928 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.21 0.83 3.37 94.71* 0.78 0.10 0.00
2 4.56 2.18 89.00* 1.40 2.23 0.62 0.00
3 41.96* 6.59 26.97 12.86 11.00 0.62 0.00
4 4.93 66.49* 12.71 11.36 4.20 0.31 0.00
5 9.54 4.62 6.69 59.13* 19.04 0.99 0.00
6 5.81 21.52 52.75* 8.20 11.46 0.26 0.00
7 42.84 17.69* 9.85 14.16 14.47 0.78 0.21
8 9.96 3.94 12.45 10.63 61.72* 1.14 0.16
9 27.23 16.65 33.61* 9.91 10.06 2.54 0.00
10 21.01* 34.23 25.05 10.53 8.14 0.99 0.05
11 20.90 31.85 17.89* 19.04 7.42 2.75 0.16
12 4.10 6.07 35.06 45.02* 9.13 0.57 0.05
13 9.70 17.27 28.79 24.38* 17.48 2.18 0.21
14 7.05 79.10* 3.94 5.08 3.94 0.73 0.16
15 22.82 11.10 39.47* 13.95 9.85 2.75 0.05
16 17.69 19.66 23.70 13.95 20.70* 4.15 0.16
17 7.78 22.35* 12.45 39.94 14.47 2.90 0.10
18 9.70 12.34 23.18 22.25* 28.16 4.30 0.05
19 11.05 13.59 12.50 53.27* 5.34 3.99 0.26
20 11.36 22.10 30.50* 17.63 12.40 5.81 0.21
21 15.72* 14.37 18.78 24.48 19.45 7.16 0.05
22 21.32 29.67 18.10 16.13* 7.26 7.47 0.05
23 17.69* 15.20 19.87 12.45 24.95 9.70 0.16
24 12.81* 16.08 27.65 19.24 12.55 11.62 0.05
25 16.60 19.92* 20.02 15.51 15.77 12.14 0.05
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem