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           2010 AMC8 Report for all schools in TAIWAN                  

           Number of schools returning results      197
           Average of school highest score        22.66
           Average school team score              64.23

           # of State Student Participants         9684
           Overall State Average Score            15.64

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th             125          11.08
                    6th             325          13.38
                    7th            3336          14.61
                    8th            5898          16.45



           Number of Female Students               3810
           Average Score of Female Students       14.76

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               28           9.54
                   6th              101          12.20
                   7th             1230          13.74
                   8th             2451          15.44



           Number of Male Participants             5873
           Average Score of Male Participants     16.22

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               97          11.53
                   6th              224          13.92
                   7th             2106          15.12
                   8th             3446          17.17




                     2010 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25          109           15          124
                  24          197           32          229
                  23          262           73          335
                  22          287           93          380
                  21          354          110          464
                  20          361          152          513
                  19          401          225          626
                  18          436          300          736
                  17          453          332          785
                  16          476          333          809
                  15          388          334          722
                  14          431          342          773
                  13          356          324          680
                  12          362          309          671
                  11          308          236          545
                  10          237          196          433
                   9          165          167          332
                   8          119          104          223
                   7           70           65          135
                   6           43           28           71
                   5           33           22           55
                   4           11            7           18
                   3            6            4           10
                   2            3            3            6
                   1            2            1            3
                   0  (@)                    1            1
                   0  ($)       3            2            5



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

                         2010 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25                       4           23           97
              24                       5           51          173
              23          1            6           66          262
              22                       6           79          295
              21                      10          105          349
              20                       6          141          366
              19          5           13          160          448
              18          2           14          226          494
              17          8           10          258          509
              16          4           19          266          520
              15          7           16          263          436
              14          9           29          317          418
              13          5           30          278          367
              12          7           36          275          353
              11         23           28          230          264
              10          7           28          206          192
               9         13           27          160          132
               8          9           20           96           98
               7         11            5           63           56
               6          2            5           36           28
               5          6            3           24           22
               4          4            3            8            3
               3                       2            3            5
               2          2                                      4
               1                                                 3
               0(@)                                 2            4
               0($)



           (@)  These students attempted some of the problems
           ($)  These students attempted none of the problems

           Note:  Some students failed to indicate a grade





                         2010 American Mathematics Contest  8
                             Number of Schools with 3+ students
                              Achieving team Scores



            SCORE   school count
              75          8
              74          3
              73          8
              72         11
              71         10
              70         10
              69         17
              68         14
              67         11
              66         16
              65          6
              64         15
              63          6
              62          6
              61          5
              60          6
              59          2
              58          2
              57          7
              56          4
              55          8
              54          1
              53          4
              51          7
              50          1
              49          2
              48          1
              47          2
              43          1
              41          1
              38          1
              31          1







                   Table of Item Difficulty for the 2010
                      American Mathematics Contest  8
                 Tabulation of responses by    9684 Students
                             Percent of Responses


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

      1    0.20      0.74     98.65*     0.17      0.04      0.21      0.00
      2    0.54      0.32      0.34     97.72*     0.71      0.35      0.02
      3    2.01      2.95     92.95*     0.71      0.39      0.97      0.01
      4    5.09     19.42     65.02*     4.60      4.18      1.61      0.07
      5    0.61     95.31*     1.63      0.59      1.23      0.59      0.04
      6    6.43      4.15      5.74      2.70     79.43*     1.35      0.20
      7   27.38     36.62*    16.39      5.40     10.32      3.77      0.13
      8   10.74     15.72     17.58     44.81*     4.44      6.67      0.05
      9   13.64      3.03      6.31     74.66*     1.30      1.03      0.03
     10    8.75     59.84*    12.46      7.58      5.50      5.78      0.08
     11    5.17     89.09*     1.66      1.39      1.49      1.07      0.12
     12   38.96      3.00      3.76     50.97*     1.43*     1.77      0.11
     13    3.87      5.91     11.96     10.64     62.13*     5.12      0.37
     14    2.46      3.35     84.52*     4.38      2.72      2.52      0.06
     15    8.68      5.79     75.28*     5.13      2.22      2.84      0.05
     16   25.69     38.80*    15.59      9.37      3.90      6.58      0.07
     17    7.51     23.85     14.58     34.01*     9.72     10.20      0.12
     18    2.44      5.70     77.01*     7.10      4.12      3.55      0.07
     19   18.39      8.63     54.33*     6.71      3.52      8.34      0.07
     20   52.04*     7.50     17.86     11.33      4.70      6.50      0.07
     21    5.04     11.29     51.45*    12.29      9.21     10.53      0.20
     22    4.30     18.14      8.08      7.01     54.47*     7.61      0.39
     23    9.72     39.89*    16.58     14.74      6.65     12.28      0.14
     24   37.36*    17.47     12.48     16.12      6.77      9.56      0.23
     25   14.59     27.85     13.95     13.49     18.08*    11.78      0.26


   (*)  Correct Response

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