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                    2006 Report for Taiwan                  

           Number of schools returning results      166
           Average of school highest score        22.69
           Average school team score              64.83

           # of State Student Participants         7376
           Overall State Average Score            15.71

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              91          12.20
                    6th             237          15.24
                    7th            2681          15.52
                    8th            4362          15.93



           Number of Female Students               2797
           Average Score of Female Students       14.72

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               29           9.79
                   6th               69          13.09
                   7th              969          14.77
                   8th             1730          14.85



           Number of Male Participants             4578
           Average Score of Male Participants     16.32

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               62          13.32
                   6th              168          16.12
                   7th             1712          15.95
                   8th             2631          16.65




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25          101           20          121
                  24          154           43          197
                  23          217           59          276
                  22          248           76          324
                  21          237          102          339
                  20          268          133          401
                  19          313          140          453
                  18          358          164          522
                  17          342          186          529
                  16          353          248          601
                  15          354          257          611
                  14          323          224          547
                  13          295          218          513
                  12          272          231          503
                  11          251          199          450
                  10          165          183          348
                   9          122          127          249
                   8           81           82          163
                   7           63           61          124
                   6           29           23           52
                   5           20           11           31
                   4            3            8           11
                   3            4            2            6
                   2            3            0            3
                   1            0            0            0
                   0  (@)       0            0            0
                   0  ($)       2            0            2



           (@)  These students attempted some of the problems
           ($)  These students attempted none of the problems
           (*)  Total includes students who failed to mark their gender

                         2006 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25          2            4           41           74
              24          2            6           60          129
              23          1           10           92          172
              22          3           12          106          203
              21          2            8          121          208
              20          0           13          143          245
              19          2           10          170          271
              18          1           15          188          318
              17          4           13          178          334
              16          6           20          202          373
              15          5           17          234          355
              14          5           19          202          320
              13          4           17          209          283
              12          3           16          193          291
              11          7           11          161          270
              10         12           15          145          176
               9          9            9           98          133
               8          5           10           54           94
               7          9            8           48           59
               6          4            2           22           24
               5          4            2            6           18
               4          0            0            4            7
               3          1            0            2            3
               2          0            0            1            1
               1          0            0            0            0
               0(@)       0            0            1            1
               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 2006
                      American Mathematics Contest  8
                 Tabulation of responses by    7376 Students
                             Percent of Responses


    ITEM    A         B         C         D         E       OMITS       ?
    ____  _____     _____     _____     _____     _____     _____     _____

      1    0.43      0.66      4.08     92.91*     1.71      0.20      0.00
      2    1.06      2.81     88.30*     1.25      5.31      1.26      0.01
      3   86.08*     4.04      3.24      4.22      1.57      0.81      0.04
      4    1.90     84.19*     4.75      7.58      1.23      0.34      0.01
      5    4.68      1.79      2.79     85.60*     2.93      2.21      0.00
      6    1.88      4.27     85.40*     5.25      2.62      0.58      0.00
      7   10.17     52.71*    17.83      7.36     11.12      0.81      0.00
      8   35.47      2.16      8.38      5.99     46.31*     1.65      0.04
      9    1.34      0.69     95.39*     0.77      1.30      0.47      0.03
     10   46.33*    14.57     24.27      6.39      5.69      2.67      0.08
     11   14.61     32.48     29.15*    12.39      7.10      4.15      0.11
     12    5.50      4.42     16.62     67.95*     4.32      1.10      0.08
     13    4.92     10.60     17.30     55.79*     7.70      3.65      0.04
     14    2.56     92.37*     1.48      2.06      0.91      0.60      0.03
     15    6.71      5.26     71.85*     7.23      4.85      4.04      0.05
     16    9.21     11.51     14.52      7.20     49.82*     7.61      0.14
     17    6.87     47.83*    10.34     21.68      9.50      3.66      0.11
     18    5.46      4.83     22.52     42.34*    20.13      4.61      0.11
     19    4.92     10.70      8.47     66.39*     4.08      5.34      0.09
     20    7.43     16.35     47.93*    13.11      8.76      6.28      0.15
     21   61.32*     6.83      9.56      7.82      8.96      5.46      0.04
     22    8.24     29.53     16.32     33.96*     5.87      5.90      0.18
     23   48.81*     7.97     15.88      5.88     15.33      5.98      0.15
     24   43.14*    12.00     18.57     11.14      6.71      8.36      0.07
     25    8.35     49.25*    12.43     10.02     10.78      9.10      0.07


   (*)  Correct Response

   (?)  Response the computer was unable to read due to incomplete
        erasures or two answers marked for the same problem