2006 AMC8 Report for all schools in District of Columbia
Number of schools returning results 5
Average of school highest score 20.20
Average school team score 55.80
# of State Student Participants 779
Overall State Average Score 8.77
Average Score by Grade level
Grade # of Students Average
5th 110 5.13
6th 131 7.02
7th 214 9.85
8th 322 10.01
Number of Female Students 392
Average Score of Female Students 8.11
Average Female Scores by Grade
Grade # of Students Average
5th 64 4.45
6th 47 6.19
7th 104 9.01
8th 175 9.43
Number of Male Participants 382
Average Score of Male Participants 9.36
Average score for Males by Grade
Grade # of Students Average
5th 46 6.07
6th 83 7.42
7th 109 10.61
8th 144 10.58
2006 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 0 0 0
23 0 0 0
22 1 0 1
21 1 1 2
20 2 3 5
19 2 0 3
18 5 3 8
17 8 3 12
16 13 4 17
15 11 4 16
14 18 7 25
13 17 14 32
12 33 22 56
11 33 25 58
10 30 36 66
9 33 49 82
8 45 34 79
7 37 51 88
6 30 39 69
5 21 46 67
4 17 25 42
3 11 11 22
2 9 9 18
1 3 4 7
0 (@) 0 2 2
0 ($) 2 0 2
(@) These students attempted some of the problems
($) 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 0 0
23 0 0 0 0
22 0 0 0 1
21 0 0 0 2
20 0 0 1 4
19 0 0 0 3
18 0 0 2 6
17 0 1 1 10
16 0 2 7 8
15 0 1 6 9
14 0 1 8 16
13 0 3 16 13
12 2 6 19 29
11 3 8 21 26
10 0 6 27 33
9 3 5 36 37
8 11 16 19 33
7 11 18 21 38
6 15 18 13 22
5 16 18 14 19
4 21 12 3 6
3 12 8 0 2
2 10 6 0 2
1 5 1 0 1
0(@) 1 1 0 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 779 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.16 3.34 7.45 85.88* 1.93 0.26 0.00
2 5.13 4.62 80.74* 3.59 5.26 0.64 0.00
3 38.90* 9.76 26.44 11.81 10.65 2.31 0.13
4 5.39 58.28* 15.15 12.20 8.09 0.64 0.26
5 11.42 5.01 4.62 61.23* 15.15 2.57 0.00
6 9.76 23.49 46.73* 6.16 12.58 1.28 0.00
7 43.77 12.32* 11.17 13.22 15.53 3.08 0.90
8 10.53 8.09 13.09 11.17 54.69* 2.18 0.26
9 25.55 16.82 25.42* 12.20 13.86 6.16 0.00
10 22.21* 28.88 21.05 12.97 10.78 3.98 0.13
11 19.26 32.99 14.89* 17.72 8.73 6.29 0.13
12 5.91 6.42 31.71 39.67* 14.63 1.41 0.26
13 11.94 13.86 30.42 21.95* 16.05 5.52 0.26
14 12.20 70.35* 5.01 6.55 4.24 1.67 0.00
15 19.64 13.35 36.07* 12.32 12.84 5.65 0.13
16 19.77 19.26 21.05 10.01 19.13* 10.65 0.13
17 8.99 26.32* 11.55 31.19 13.86 7.96 0.13
18 11.30 12.71 19.64 20.03* 25.29 10.65 0.39
19 10.53 16.82 11.68 45.06* 5.01 10.65 0.26
20 9.88 22.21 28.50* 14.25 12.97 12.20 0.00
21 13.61* 14.12 14.89 21.95 18.36 17.07 0.00
22 16.82 24.65 16.94 13.48* 10.01 17.84 0.26
23 16.82* 14.76 16.94 11.94 18.87 20.41 0.26
24 8.60* 16.17 24.13 14.12 12.84 24.13 0.00
25 14.63 15.79* 17.33 11.42 15.53 24.90 0.39
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem