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           2006 AMC8 Report for all schools in Massachusetts           

           Number of schools returning results       56
           Average of school highest score        18.64
           Average school team score              51.32

           # of State Student Participants         4036
           Overall State Average Score            10.02

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              47           8.66
                    6th             676           8.35
                    7th            1308           9.64
                    8th            1971          10.91



           Number of Female Students               1828
           Average Score of Female Students        9.54

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               19           8.11
                   6th              307           7.83
                   7th              628           9.36
                   8th              866          10.32



           Number of Male Participants             2150
           Average Score of Male Participants     10.43

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               28           9.04
                   6th              363           8.75
                   7th              663           9.93
                   8th             1072          11.39




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            5            1            6
                  24            4            0            4
                  23           11            3           14
                  22           14            2           16
                  21           16            7           23
                  20           28            9           39
                  19           28           14           43
                  18           31           14           45
                  17           66           18           85
                  16           55           31           88
                  15           75           55          132
                  14           87           71          161
                  13          126          110          238
                  12          181          133          319
                  11          196          172          375
                  10          226          207          435
                   9          236          229          469
                   8          234          214          463
                   7          197          196          398
                   6          163          151          319
                   5           89           96          185
                   4           54           55          110
                   3           19           26           45
                   2            6            7           14
                   1            0            3            3
                   0  (@)       0            0            0
                   0  ($)       3            4            7



           (@)  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          0            0            0            6
              24          0            0            0            4
              23          0            1            2           11
              22          0            1            5           10
              21          1            0            6           16
              20          0            2            7           30
              19          0            2            9           32
              18          0            7           11           27
              17          0            5           19           61
              16          0            5           28           55
              15          0           14           38           78
              14          3            7           45          105
              13          0           25           69          143
              12          5           34           94          181
              11          2           47          124          200
              10          6           52          159          216
               9          3           77          149          235
               8          6           98          170          188
               7          9           98          141          146
               6          6           86          106          118
               5          4           57           64           57
               4          2           32           40           34
               3          0           15           19           11
               2          0            7            1            4
               1          0            2            1            0
               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 2006
                      American Mathematics Contest  8
                 Tabulation of responses by    4036 Students
                             Percent of Responses


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

      1    0.25      0.89      4.21     93.48*     0.94      0.22      0.00
      2    3.59      3.25     85.16*     1.88      5.03      1.09      0.00
      3   44.82*     7.06     22.47     11.94     11.40      2.23      0.07
      4    3.22     67.89*    11.62     12.24      4.44      0.55      0.05
      5    8.80      4.86      4.48     64.42*    14.62      2.78      0.05
      6    4.71     18.31     58.62*     7.14     10.31      0.92      0.00
      7   36.92     20.14*    10.95     15.01     15.21      1.66      0.10
      8    9.76      5.77     11.05     10.21     61.74*     1.26      0.20
      9   27.08     13.78     34.27*     9.61     11.25      3.99      0.02
     10   23.02*    33.37     23.93     10.13      7.41      2.11      0.02
     11   20.42     31.59     16.20*    17.86      9.64      4.24      0.05
     12    4.98      5.53     37.46     42.00*     8.33      1.61      0.10
     13    8.20     17.37     27.85     26.29*    16.70      3.47      0.12
     14    6.74     78.10*     4.76      4.66      3.91      1.73      0.10
     15   20.29     10.33     38.80*    13.90     10.75      5.80      0.12
     16   16.50     19.10     21.31     13.48     21.21*     8.35      0.05
     17    7.53     27.43*    11.42     35.83     12.83      4.83      0.12
     18   10.21     11.65     22.75     22.40*    25.69      7.16      0.15
     19    9.17     13.55     12.09     51.49*     6.37      7.16      0.17
     20   11.50     19.13     32.28*    15.98     12.51      8.42      0.17
     21   18.76*    13.85     18.46     20.66     17.24     10.73      0.30
     22   18.73     29.53     16.20     17.67*     6.74     11.00      0.12
     23   20.79*    15.41     17.94     11.32     22.32     11.92      0.30
     24   13.97*    15.93     23.66     18.26     14.40     13.65      0.12
     25   15.88     21.28*    18.21     15.93     14.00     14.59      0.10


   (*)  Correct Response

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