2005 State Report for Pennsylvania
Number of schools returning results 107
Average of school highest score 17.21
Average school team score 46.94
# of State Student Participants 6697
Overall State Average Score 9.93
Average Score by Grade level
Grade # of Students Average
5th 59 8.22
6th 349 9.02
7th 2160 9.54
8th 3998 10.26
Number of Female Students 3068
Average Score of Female Students 9.41
Average Female Scores by Grade
Grade # of Students Average
5th 29 8.10
6th 118 8.74
7th 985 8.98
8th 1871 9.71
Number of Male Participants 3534
Average Score of Male Participants 10.40
Average score for Males by Grade
Grade # of Students Average
5th 30 8.33
6th 221 9.32
7th 1149 10.03
8th 2074 10.74
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 0 1
24 2 0 2
23 1 0 1
22 6 2 8
21 14 1 15
20 13 5 18
19 24 9 33
18 46 18 66
17 75 34 110
16 110 49 161
15 159 79 241
14 185 157 346
13 295 189 492
12 336 261 609
11 408 319 733
10 390 343 740
9 392 345 748
8 331 366 709
7 281 295 583
6 198 226 429
5 133 161 299
4 65 107 175
3 42 60 106
2 18 26 44
1 4 9 15
0 (@) 1 1 2
0 ($) 4 6 11
(@) These students attempted some of the problems
($) 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 0 0 2
23 0 0 1 0
22 0 0 2 6
21 0 1 6 8
20 0 1 6 10
19 1 2 9 21
18 0 2 17 46
17 0 3 25 80
16 0 2 37 121
15 1 11 70 153
14 1 10 94 236
13 6 17 134 324
12 5 25 187 381
11 3 43 238 437
10 5 40 209 467
9 5 31 250 446
8 5 39 251 398
7 5 40 213 314
6 5 26 165 228
5 7 21 122 144
4 5 20 55 94
3 1 10 40 50
2 4 3 19 17
1 0 2 7 6
0(@) 0 0 3 8
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 6697 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.91 67.27* 22.65 8.59 0.25 0.30 0.03
2 9.84 15.16 68.58* 2.88 2.76 0.72 0.06
3 6.33 8.00 34.27 41.90* 8.69 0.76 0.04
4 24.79 4.45 56.98* 9.38 3.29 1.10 0.01
5 6.54 64.69* 8.08 3.63 16.54 0.45 0.07
6 18.78 19.80 28.89* 15.65 15.50 1.27 0.10
7 27.04 22.11* 8.54 38.60 2.93 0.75 0.03
8 14.59 10.51 11.51 9.20 52.77* 1.28 0.13
9 12.56 20.67 19.44 39.54* 5.55 2.20 0.04
10 3.36 3.12 2.97 86.58* 3.15 0.81 0.01
11 8.33 7.20 64.12* 6.53 12.21 1.57 0.04
12 4.42 5.24 20.88 58.07* 10.03 1.25 0.10
13 20.62 47.48 19.96* 5.99 4.43 1.43 0.07
14 14.05 34.19* 5.87 21.10 22.53 2.12 0.13
15 20.11 22.61 25.25* 12.30 15.72 3.91 0.09
16 5.00 8.20 10.87 19.25* 54.20 2.39 0.09
17 12.66 3.70 29.43 7.53 44.59* 1.82 0.27
18 25.00 20.02 31.52* 14.69 5.49 3.17 0.10
19 38.24* 25.46 16.72 7.93 7.51 3.97 0.16
20 26.73* 21.77 21.05 16.74 7.29 6.39 0.03
21 24.46 37.00 23.10* 6.09 4.88 4.35 0.12
22 11.15 15.31 20.73 28.12 18.31* 6.12 0.27
23 10.57 21.77* 27.13 15.83 15.57 9.02 0.10
24 15.17 16.01* 22.44 18.22 18.84 9.14 0.18
25 22.70* 24.64 18.04 12.99 11.53 10.05 0.06
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem