2005 Report for Taiwan
Number of schools returning results 444
Average of school highest score 17.68
Average school team score 37.84
# of State Student Participants 5983
Overall State Average Score 14.34
Average Score by Grade level
Grade # of Students Average
5th 48 11.50
6th 288 13.16
7th 2167 13.47
8th 3469 15.02
Number of Female Students 2390
Average Score of Female Students 13.60
Average Female Scores by Grade
Grade # of Students Average
5th 17 9.35
6th 89 12.47
7th 855 12.69
8th 1426 14.27
Number of Male Participants 3565
Average Score of Male Participants 14.85
Average score for Males by Grade
Grade # of Students Average
5th 31 12.68
6th 199 13.46
7th 1302 13.99
8th 2026 15.56
2005 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 17 3 20
24 51 13 65
23 53 17 70
22 98 30 129
21 126 38 165
20 176 70 246
19 226 116 344
18 244 145 391
17 264 168 432
16 313 180 495
15 313 211 526
14 325 207 532
13 315 237 554
12 265 233 501
11 223 174 398
10 169 169 343
9 136 116 256
8 98 96 195
7 65 62 127
6 39 48 87
5 25 29 54
4 15 15 30
3 3 5 8
2 2 4 7
1 0 2 2
0 (@) 0 0 0
0 ($) 4 2 6
(@) These students attempted some of the problems
($) 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 5 14
24 0 4 24 37
23 0 2 19 48
22 1 3 43 82
21 1 3 49 112
20 0 9 58 179
19 2 10 84 247
18 2 17 107 265
17 0 21 131 279
16 2 15 142 336
15 1 17 185 322
14 5 21 190 316
13 7 33 215 299
12 3 34 192 270
11 4 24 166 204
10 5 24 165 148
9 2 15 121 116
8 3 9 97 85
7 3 13 70 41
6 2 5 47 33
5 2 4 29 19
4 3 0 21 6
3 0 1 5 2
2 0 2 1 4
1 0 0 0 2
0(@) 0 2 1 3
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 5983 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.52 82.92* 14.16 1.94 0.12 0.27 0.08
2 7.79 5.38 81.41* 1.47 2.92 0.80 0.22
3 1.97 3.28 20.07 67.14* 6.17 1.05 0.32
4 2.86 1.52 92.40* 1.60 1.17 0.32 0.13
5 3.68 61.07* 16.10 6.07 11.77 0.75 0.57
6 4.83 16.46 65.32* 4.38 7.44 0.99 0.58
7 19.94 38.11* 8.41 27.63 2.24 3.31 0.37
8 2.96 2.27 4.48 8.24 81.28* 0.38 0.38
9 9.51 7.76 8.36 57.70* 11.42 5.06 0.20
10 1.91 1.82 1.96 92.03* 0.95 1.25 0.08
11 7.87 7.02 68.24* 4.96 6.47 5.20 0.23
12 1.54 3.29 8.44 77.45* 7.47 1.60 0.20
13 5.10 6.95 82.99* 2.96 0.90 0.92 0.18
14 7.22 47.12* 4.85 19.10 14.99 6.30 0.42
15 5.75 11.95 49.06* 6.72 23.70 2.37 0.45
16 3.14 5.28 9.19 34.40* 44.33 3.04 0.62
17 8.77 2.99 10.90 2.39 72.86* 1.70 0.38
18 6.10 11.45 57.60* 17.70 3.88 2.94 0.33
19 52.43* 18.60 13.79 6.22 3.44 5.25 0.27
20 27.54* 14.96 20.94 20.93 5.21 9.64 0.77
21 9.79 32.71 38.51* 6.92 7.52 4.03 0.52
22 13.15 17.70 20.37 19.54 21.61* 7.12 0.50
23 8.11 41.47* 20.01 11.40 10.15 8.29 0.58
24 10.36 20.11* 23.65 20.07 15.38 9.49 0.94
25 23.25* 25.77 19.71 11.38 8.34 11.05 0.50
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem