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           2006 AMC8 Report for all schools in Montana                 

           Number of schools returning results       16
           Average of school highest score        15.81
           Average school team score              42.63

           # of State Student Participants         1007
           Overall State Average Score             8.81

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th               1           7.00
                    6th              46           7.74
                    7th             441           8.42
                    8th             511           9.27



           Number of Female Students                498
           Average Score of Female Students        8.62

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   6th               16           7.06
                   7th              231           8.28
                   8th              248           9.05



           Number of Male Participants              497
           Average Score of Male Participants      9.02

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th                1           7.00
                   6th               29           8.21
                   7th              207           8.57
                   8th              257           9.52




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            0            0            0
                  24            0            0            0
                  23            0            0            0
                  22            1            0            1
                  21            0            0            0
                  20            0            1            1
                  19            1            0            1
                  18            1            1            2
                  17            2            3            5
                  16            6            0            6
                  15            7            5           12
                  14           18           11           29
                  13           26           15           42
                  12           33           26           60
                  11           52           40           92
                  10           52           75          128
                   9           70           66          138
                   8           65           83          149
                   7           67           75          144
                   6           44           44           90
                   5           31           30           63
                   4           16           17           33
                   3            2            3            5
                   2            1            2            3
                   1            1            1            2
                   0  (@)       0            0            0
                   0  ($)       1            0            1



           (@)  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            0
              24          0            0            0            0
              23          0            0            0            0
              22          0            0            0            1
              21          0            0            0            0
              20          0            0            0            1
              19          0            0            0            1
              18          0            0            0            2
              17          0            0            0            5
              16          0            0            2            4
              15          0            0            3            9
              14          0            0            9           20
              13          0            1           14           27
              12          0            1           22           37
              11          0            4           33           55
              10          0            2           63           60
               9          0            9           57           71
               8          0            6           70           73
               7          1           13           70           59
               6          0            4           45           40
               5          0            3           34           25
               4          0            1           15           16
               3          0            0            2            3
               2          0            2            0            1
               1          0            0            1            1
               0(@)       0            0            1            0
               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    1007 Students
                             Percent of Responses


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

      1    0.30      0.40      4.57     93.94*     0.70      0.10      0.00
      2    5.66      4.07     83.71*     2.28      3.57      0.70      0.00
      3   37.64*     8.54     25.82     15.89     11.12      0.89      0.10
      4    5.26     63.46*    14.30     12.12      4.67      0.20      0.00
      5    6.55      4.17      4.77     61.07*    22.54      0.89      0.00
      6    6.36     25.22     45.68*     8.84     13.60      0.30      0.00
      7   46.08     11.52*     9.04     17.08     15.59      0.70      0.00
      8   11.52      6.16     13.11     13.31     54.92*     0.79      0.20
      9   29.20     16.68     27.01*    12.51     13.01      1.49      0.10
     10   13.01*    36.35     24.43     12.71     12.12      1.39      0.00
     11   19.07     34.16     15.49*    19.96      8.54      2.78      0.00
     12    4.07      6.45     44.39     34.86*     9.33      0.79      0.10
     13    8.94     15.89     28.30     25.02*    20.06      1.49      0.30
     14    8.54     75.87*     4.97      5.26      4.57      0.79      0.00
     15   26.42     12.12     35.55*    13.31     10.43      2.09      0.10
     16   18.57     21.45     23.24     14.50     18.87*     3.38      0.00
     17    7.65     22.24*    10.82     40.52     15.99      2.68      0.10
     18    9.83     18.07     24.03     17.38*    25.42      5.16      0.10
     19   11.42     16.58     14.20     45.58*     7.05      5.16      0.00
     20   11.72     24.83     26.61*    18.47     10.72      7.45      0.20
     21   14.40*    13.21     20.85     25.32     17.97      8.24      0.00
     22   24.43     28.70     17.58     13.31*     7.35      8.44      0.20
     23   14.60*    17.18     17.87     12.12     28.30      9.73      0.20
     24   12.31*    17.18     29.00     18.87     11.72     10.92      0.00
     25   17.97     17.18*    20.66     16.19     16.68     11.32      0.00


   (*)  Correct Response

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