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           2010 AMC8 Report for all schools in Montana                 

           Number of schools returning results       11
           Average of school highest score        15.45
           Average school team score              41.64

           # of State Student Participants          930
           Overall State Average Score             8.00

                       Average Score by Grade level

                   Grade         # of Students  Average

                    6th              56           8.64
                    7th             396           7.57
                    8th             475           8.28



           Number of Female Students                432
           Average Score of Female Students        7.72

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   6th               14           7.21
                   7th              186           7.54
                   8th              232           7.90



           Number of Male Participants              484
           Average Score of Male Participants      8.24

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   6th               42           9.12
                   7th              206           7.61
                   8th              234           8.64




                     2010 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25
                  24
                  23
                  22            1                         1
                  21            1                         1
                  20                         1            1
                  19                         1            1
                  18            1                         1
                  17            3            1            4
                  16
                  15            7            1            8
                  14            6            3            9
                  13           17            6           24
                  12           24           15           39
                  11           38           29           67
                  10           48           37           88
                   9           54           56          113
                   8           76           69          147
                   7           81           70          152
                   6           47           66          116
                   5           41           43           85
                   4           23           20           43
                   3           11           11           22
                   2            2            3            5
                   1            1                         1
                   0  (@)
                   0  ($)       2                         2



           (@)  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
              24
              23
              22                                                 1
              21                                                 1
              20                                    1
              19                                                 1
              18                                                 1
              17                                                 4
              16
              15                       1            2            5
              14                       1            2            6
              13                       3            6           15
              12                       2           12           25
              11                       7           22           38
              10                       3           38           46
               9                      13           46           53
               8                       5           63           79
               7                      10           69           73
               6                       5           56           55
               5                       4           40           40
               4                       2           25           16
               3                                   10           12
               2                                    4            1
               1                                                 1
               0(@)                                              2
               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
              59          1
              52          2
              47          1
              45          1
              37          1
              36          1
              33          3
              31          1







                   Table of Item Difficulty for the 2010
                      American Mathematics Contest  8
                 Tabulation of responses by     930 Students
                             Percent of Responses


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

      1    1.72      4.30     91.08*     2.04      0.54      0.32      0.00
      2    7.42      2.80      4.52     52.90*    31.61      0.75      0.00
      3   11.61     29.03     51.94*     5.59      0.54      1.29      0.00
      4   10.43     12.04     49.46*    17.42     10.32      0.32      0.00
      5   10.22     56.34*    12.58      8.39     11.61      0.75      0.11
      6    4.84      6.02      1.72      8.49     78.71*     0.22      0.00
      7   38.60     30.43*     9.68      7.20     13.76      0.32      0.00
      8   26.56     29.03     22.90     15.05*     4.95      1.51      0.00
      9   13.23     11.18     39.35     28.71*     6.67      0.75      0.11
     10   22.37     18.17*    24.62     17.10     16.45      1.29      0.00
     11   21.61     49.46*     9.57     12.80      5.48      1.08      0.00
     12   44.62     21.08     12.69     11.18*     9.46*     0.97      0.00
     13   11.83     13.33     35.05     25.16     12.47*     2.15      0.00
     14   11.83     13.23     27.63*    24.84     20.32      2.15      0.00
     15   36.88     18.49     23.98*    11.08      6.56      3.01      0.00
     16   34.95     16.67*     8.17     20.43     16.77      2.90      0.11
     17   14.19     30.22     26.77     14.95*    10.11      3.76      0.00
     18   14.95     19.68     25.91*    15.81     20.11      3.55      0.00
     19   29.35     22.26     26.24*    11.51      6.13      4.52      0.00
     20   21.61*    20.22     28.39     14.62     10.43      4.73      0.00
     21    9.35     22.37     30.97*    17.63     13.76      5.70      0.22
     22   10.54     20.75     23.12     22.90     15.70*     6.88      0.11
     23   15.59     20.32*    22.26     20.75     13.44      7.42      0.22
     24   12.15*    24.73     19.89     22.58     13.01      7.42      0.22
     25   17.96     35.48     10.65     10.11     17.74*     7.96      0.11


   (*)  Correct Response

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