2005 State Report for Virginia
Number of schools returning results 55
Average of school highest score 17.47
Average school team score 48.05
# of State Student Participants 3768
Overall State Average Score 9.57
Average Score by Grade level
Grade # of Students Average
5th 32 7.56
6th 266 7.39
7th 1269 9.20
8th 2164 10.10
Number of Female Students 1845
Average Score of Female Students 8.78
Average Female Scores by Grade
Grade # of Students Average
5th 12 6.58
6th 129 6.81
7th 608 8.38
8th 1085 9.28
Number of Male Participants 1865
Average Score of Male Participants 10.36
Average score for Males by Grade
Grade # of Students Average
5th 19 8.00
6th 135 7.98
7th 644 10.00
8th 1050 10.93
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 0 1
24 7 1 8
23 4 4 8
22 7 1 8
21 18 6 25
20 18 6 25
19 26 6 33
18 41 28 71
17 62 25 87
16 66 44 111
15 93 45 141
14 114 44 158
13 120 102 228
12 128 107 236
11 127 142 276
10 168 152 321
9 168 209 383
8 170 169 344
7 142 201 346
6 140 167 313
5 90 141 237
4 75 111 188
3 44 69 116
2 21 38 60
1 9 17 26
0 (@) 2 3 6
0 ($) 4 7 12
(@) These students attempted some of the problems
($) 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 1
24 0 1 1 6
23 0 0 1 7
22 0 0 3 5
21 0 0 6 19
20 0 0 3 20
19 0 1 5 26
18 1 1 22 47
17 0 0 17 70
16 0 2 34 75
15 1 3 44 93
14 0 2 51 105
13 0 7 75 143
12 0 13 84 137
11 3 11 95 164
10 3 22 105 188
9 4 28 138 207
8 3 37 109 189
7 5 29 126 186
6 3 27 120 161
5 3 25 92 113
4 2 24 62 99
3 3 18 40 54
2 0 10 22 27
1 1 4 7 13
0(@) 0 1 7 9
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 3768 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.93 63.56* 27.47 7.43 0.16 0.45 0.00
2 12.00 18.29 61.39* 3.61 3.64 1.09 0.00
3 6.10 7.09 34.37 43.05* 8.33 0.98 0.08
4 26.17 6.34 52.60* 9.95 3.13 1.73 0.08
5 6.21 55.89* 7.83 4.09 25.21 0.74 0.03
6 16.72 18.95 30.10* 17.30 14.57 2.34 0.03
7 21.74 23.57* 7.17 43.55 2.76 1.19 0.03
8 14.76 11.12 11.12 7.67 53.40* 1.86 0.08
9 13.35 19.67 17.25 40.55* 5.68 3.50 0.00
10 4.14 4.35 3.50 81.69* 4.78 1.49 0.05
11 8.31 7.25 61.60* 7.27 11.92 3.66 0.00
12 5.41 5.65 24.10 51.57* 10.85 2.36 0.05
13 17.22 45.14 24.34* 6.32 4.43 2.47 0.08
14 14.65 35.43* 6.74 20.30 17.99 4.80 0.08
15 19.11 21.71 25.32* 11.39 15.26 7.09 0.13
16 5.60 8.20 9.93 19.06* 52.39 4.72 0.11
17 12.34 3.34 32.43 6.02 41.93* 3.77 0.16
18 24.73 17.68 29.46* 15.66 6.16 6.24 0.08
19 39.23* 23.57 14.97 6.63 7.70 7.78 0.13
20 25.05* 20.78 21.10 14.62 6.82 11.54 0.08
21 23.83 33.65 22.90* 5.89 5.41 8.04 0.27
22 11.49 17.01 19.16 23.33 16.43* 12.42 0.16
23 10.03 21.47* 26.94 12.63 12.53 16.16 0.24
24 13.85 14.99* 21.47 15.76 16.56 17.25 0.11
25 22.48* 21.84 15.58 11.92 8.94 19.24 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem