2004 AMC8 Report for all schools in Pennsylvania
Number of schools returning results 107
Average of school highest score 17.51
Average school team score 48.12
# of State Student Participants 7336
Overall State Average Score 10.16
Average Score by Grade level
Grade # of Students Average
5th 70 8.26
6th 552 9.15
7th 2477 9.69
8th 4187 10.59
Number of Female Students 3379
Average Score of Female Students 9.71
Average Female Scores by Grade
Grade # of Students Average
5th 21 7.29
6th 240 8.48
7th 1164 9.18
8th 1943 10.20
Number of Male Participants 3835
Average Score of Male Participants 10.54
Average score for Males by Grade
Grade # of Students Average
5th 47 8.77
6th 307 9.67
7th 1279 10.14
8th 2174 10.92
2004 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 0 0 0
24 1 0 1
23 2 0 2
22 4 1 5
21 10 4 14
20 20 6 26
19 38 16 56
18 59 36 97
17 87 42 130
16 149 65 218
15 170 101 279
14 229 162 395
13 305 227 539
12 369 283 665
11 382 371 768
10 445 417 882
9 413 373 794
8 370 386 770
7 294 319 629
6 226 234 464
5 141 179 323
4 73 89 163
3 35 46 81
2 5 15 20
1 0 3 3
0 (@) 0 0 0
0 ($) 8 4 12
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2004 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 1 0
23 0 1 0 1
22 0 0 1 4
21 0 0 5 9
20 0 1 5 20
19 0 2 16 37
18 1 3 23 68
17 0 4 43 82
16 1 12 61 143
15 2 17 59 198
14 0 17 106 269
13 4 22 167 342
12 5 47 186 423
11 5 48 257 452
10 3 62 297 510
9 8 68 293 420
8 6 66 291 404
7 12 62 245 304
6 12 46 177 229
5 5 38 123 157
4 2 21 64 75
3 2 10 44 25
2 1 4 9 6
1 0 1 1 1
0(@) 1 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 2004
American Mathematics Contest 8
Tabulation of responses by 7336 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.12 92.18* 3.48 0.86 1.76 0.61 0.00
2 4.92 46.51* 38.45 8.64 0.79 0.65 0.03
3 75.30* 13.29 6.42 2.49 1.36 1.09 0.04
4 2.47 52.55* 19.89 12.65 11.55 0.85 0.05
5 10.99 2.55 16.92 62.40* 6.72 0.38 0.04
6 17.35 14.98 55.88* 6.67 3.86 1.24 0.03
7 1.98 49.03* 4.63 39.71 4.01 0.56 0.08
8 24.81 51.55* 10.62 4.78 6.77 1.36 0.10
9 9.50 13.02 14.90 36.53* 23.80 2.15 0.10
10 3.33 6.23 4.48 23.38 61.74* 0.78 0.07
11 5.63 19.93 62.10* 6.97 4.12 1.21 0.04
12 25.64 22.10* 14.56 25.30 10.40 1.96 0.04
13 32.80 7.93 15.73 16.98 24.77* 1.69 0.10
14 13.03 28.74 35.89* 15.65 3.82 2.84 0.04
15 15.77 13.39 37.65* 15.69 15.42 2.03 0.05
16 5.34 8.49 18.39* 5.93 59.11 2.70 0.04
17 4.31 20.79 26.36 25.16* 20.65 2.56 0.16
18 43.95* 6.09 17.93 22.75 5.55 3.64 0.10
19 21.96 35.81* 18.54 10.02 7.77 5.82 0.08
20 11.82 21.73 27.39 24.56* 8.86 5.56 0.08
21 11.23 20.27 18.99 24.74* 18.88 5.71 0.18
22 11.68 15.61* 12.72 10.11 43.36 6.19 0.33
23 39.05 8.85 8.63 23.38* 13.41 6.35 0.33
24 15.47 20.26 24.51* 17.22 12.68 9.77 0.10
25 16.81 25.52 14.39 13.50* 20.20 9.50 0.08
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem