2004 AMC8 Report for Taiwan Schools
Number of schools returning results 436
Average of school highest score 17.5
Average school team score 53.88
# of State Student Participants 7573
Overall State Average Score 13.23
Average Score by Grade level
Grade # of Students Average
5th 76 11.42
6th 217 12.43
7th 2310 12.65
8th 4916 13.59
Number of Female Students 3234
Average Score of Female Students 12.43
Average Female Scores by Grade
Grade # of Students Average
5th 24 10.29
6th 70 10.53
7th 978 11.83
8th 2154 12.79
Number of Male Participants 4266
Average Score of Male Participants 13.88
Average score for Males by Grade
Grade # of Students Average
5th 51 12.02
6th 145 13.41
7th 1316 13.29
8th 2739 14.24
2004 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 9 1 10
24 25 7 32
23 51 13 64
22 73 27 101
21 115 35 150
20 134 49 183
19 192 81 273
18 248 156 405
17 293 178 475
16 355 202 558
15 359 234 597
14 398 275 680
13 385 294 684
12 372 308 688
11 347 328 685
10 275 252 532
9 228 226 461
8 151 214 373
7 102 128 237
6 79 108 188
5 35 55 92
4 24 39 64
3 7 15 23
2 2 4 6
1 2 2 4
0 (@) 0 0 0
0 ($) 5 3 8
(@) These students attempted some of the problems
($) 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 2 8
24 0 1 12 19
23 0 7 10 47
22 2 4 24 71
21 0 5 41 104
20 1 8 48 125
19 0 5 67 201
18 4 6 93 301
17 4 14 115 339
16 3 10 165 379
15 4 11 174 406
14 3 12 197 462
13 5 10 186 482
12 9 16 208 450
11 6 22 240 410
10 9 19 182 316
9 9 20 172 254
8 6 14 132 216
7 2 12 93 125
6 5 6 76 100
5 1 7 40 43
4 1 6 23 34
3 1 0 6 14
2 0 0 3 3
1 0 0 1 3
0(@) 1 2 0 4
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 7573 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.36 97.65* 0.71 0.17 0.87 0.18 0.05
2 5.33 63.48* 21.39 5.81 1.36 1.93 0.70
3 82.44* 5.27 5.63 2.36 2.13 1.66 0.51
4 1.86 66.33* 15.95 8.58 4.28 1.94 1.06
5 28.22 2.80 6.56 57.08* 3.74 0.99 0.61
6 5.88 8.69 72.68* 5.14 3.90 2.92 0.81
7 2.65 65.17* 3.88 23.91 1.91 0.90 1.57
8 32.50 56.93* 6.48 1.32 0.96 0.55 1.25
9 2.72 4.71 4.46 80.40* 5.03 2.19 0.48
10 1.10 3.05 3.43 12.52 78.20* 0.98 0.73
11 3.99 10.56 72.90* 6.19 2.61 3.17 0.57
12 44.66 20.02* 11.61 14.91 3.66 4.28 0.87
13 28.47 6.27 10.75 16.08 34.12* 3.05 1.25
14 7.45 19.44 53.27* 10.75 2.48 5.66 0.95
15 6.95 12.61 52.16* 15.82 9.52 2.14 0.81
16 2.07 3.74 41.45* 16.41 32.40 3.04 0.88
17 8.58 16.64 19.31 35.69* 16.37 2.34 1.07
18 49.82* 4.20 12.69 14.49 11.99 5.52 1.29
19 6.34 56.57* 11.78 6.51 12.29 5.72 0.79
20 12.91 12.68 16.73 34.40* 15.63 6.31 1.33
21 7.65 13.44 19.95 36.87* 13.69 7.49 0.91
22 6.40 24.53* 14.23 8.94 35.43 8.72 1.74
23 26.09 6.58 9.52 39.80* 10.93 6.23 0.85
24 10.43 13.51 36.05* 13.77 13.32 11.79 1.12
25 10.74 11.71 30.04 15.13* 21.50 9.60 1.28
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem