2005 State Report for District of Columbia
Number of schools returning results 6
Average of school highest score 19.67
Average school team score 54.67
# of State Student Participants 867
Overall State Average Score 9.27
Average Score by Grade level
Grade # of Students Average
5th 33 6.06
6th 114 6.75
7th 294 9.36
8th 424 10.14
Number of Female Students 405
Average Score of Female Students 9.04
Average Female Scores by Grade
Grade # of Students Average
5th 17 6.18
6th 32 5.00
7th 131 8.77
8th 223 10.02
Number of Male Participants 457
Average Score of Male Participants 9.47
Average score for Males by Grade
Grade # of Students Average
5th 16 5.94
6th 82 7.44
7th 158 9.85
8th 201 10.27
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 0 0 0
23 1 0 1
22 0 0 0
21 1 0 1
20 2 1 3
19 4 0 4
18 3 3 6
17 4 6 10
16 15 6 21
15 9 12 21
14 20 17 37
13 37 18 55
12 27 23 52
11 52 37 89
10 52 62 114
9 45 43 90
8 43 41 84
7 39 33 72
6 34 39 74
5 24 24 48
4 22 23 45
3 16 11 27
2 5 5 10
1 0 0 0
0 (@) 0 0 0
0 ($) 2 1 3
(@) These students attempted some of the problems
($) 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 0 0
23 0 0 0 1
22 0 0 0 0
21 0 0 0 1
20 0 0 3 0
19 0 0 1 3
18 0 0 1 5
17 0 0 2 8
16 0 0 7 14
15 0 0 9 12
14 1 1 12 23
13 0 3 13 39
12 1 1 20 30
11 2 9 31 47
10 2 9 42 60
9 2 9 34 45
8 2 8 35 39
7 1 13 21 37
6 2 19 26 27
5 6 13 15 14
4 10 16 12 7
3 1 11 7 7
2 3 2 2 3
1 0 0 0 0
0(@) 0 0 1 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 2005
American Mathematics Contest 8
Tabulation of responses by 867 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.46 67.47* 22.49 8.65 0.23 0.69 0.00
2 11.42 17.76 59.98* 4.84 4.50 1.38 0.12
3 6.81 7.15 34.37 39.10* 11.19 1.38 0.00
4 29.30 4.04 52.36* 9.11 3.58 1.61 0.00
5 5.65 58.82* 8.42 4.84 21.80 0.35 0.12
6 21.80 19.72 28.26* 12.11 14.65 3.46 0.00
7 25.84 19.61* 8.54 39.68 5.07 1.15 0.12
8 13.84 10.50 9.80 9.57 53.98* 2.19 0.12
9 13.38 19.49 14.88 40.25* 7.27 4.61 0.12
10 3.34 4.15 2.88 83.74* 4.27 1.61 0.00
11 9.00 7.61 58.48* 6.81 14.19 3.69 0.23
12 7.50 5.31 24.57 49.71* 10.96 1.96 0.00
13 19.95 43.83 19.49* 7.04 7.15 2.42 0.12
14 14.76 36.33* 5.65 19.72 19.95 3.46 0.12
15 18.80 24.11 24.34* 13.49 13.15 6.11 0.00
16 4.50 7.38 9.23 16.15* 58.48 4.27 0.00
17 12.00 2.88 32.30 8.19 42.33* 2.08 0.23
18 24.45 18.69 27.57* 15.57 7.96 5.65 0.12
19 34.83* 25.49 16.61 7.15 8.19 7.50 0.23
20 24.80* 23.07 19.49 14.30 6.57 11.53 0.23
21 27.57 34.26 18.45* 5.65 5.88 8.07 0.12
22 11.65 14.07 18.69 26.99 17.42* 11.07 0.12
23 11.76 16.61* 29.41 10.50 15.92 15.80 0.00
24 11.42 16.03* 22.61 18.69 14.19 16.84 0.23
25 20.76* 20.99 15.57 13.03 11.19 18.45 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem