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           2009 AMC8 Report for all schools in Utah                    

           Number of schools returning results       28
           Average of school highest score        16.82
           Average school team score              43.89

           # of State Student Participants          868
           Overall State Average Score             9.52

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              90           8.17
                    6th             220           8.57
                    7th             251           9.73
                    8th             303          10.45



           Number of Female Students                369
           Average Score of Female Students        8.78

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               34           7.53
                   6th              101           8.09
                   7th              108           8.93
                   8th              124           9.60



           Number of Male Participants              483
           Average Score of Male Participants     10.03

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               56           8.55
                   6th              116           8.94
                   7th              142          10.36
                   8th              168          10.97




                     2009 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25
                  24            2                         2
                  23            1            1            2
                  22
                  21            3                         4
                  20            1                         1
                  19            3                         3
                  18            7                         7
                  17            8            1            9
                  16           17            5           24
                  15           18            7           25
                  14           19           12           31
                  13           24           19           45
                  12           33           13           48
                  11           51           37           90
                  10           62           50          114
                   9           53           52          106
                   8           64           44          109
                   7           40           41           83
                   6           40           30           71
                   5           22           33           55
                   4           11           17           28
                   3            3            4            7
                   2            1            3            4
                   1
                   0  (@)
                   0  ($)



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

                         2009 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25
              24                                    1            1
              23                                    1            1
              22
              21          1                         1            2
              20                                                 1
              19                                    2            1
              18                                    2            5
              17                       2            2            5
              16                       3            5           16
              15                       4           10           11
              14          2            5            8           15
              13          4            6           15           20
              12          1            9           16           22
              11          8           20           25           36
              10         10           31           37           36
               9         13           28           26           38
               8         13           32           32           32
               7         13           23           26           21
               6         11           21           19           20
               5          4           27           14           10
               4          6            4            8            9
               3          4            2            1
               2                       3                         1
               1
               0(@)
               0($)



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

           Note:  Some students failed to indicate a grade





                         2009 American Mathematics Contest  8
                             Number of Schools with 3+ students
                              Achieving team Scores



            SCORE   school count
              60          1
              58          1
              57          1
              56          1
              55          1
              54          1
              52          1
              51          1
              50          1
              49          1
              48          3
              47          1
              46          1
              41          2
              39          1
              37          2
              35          3
              34          1
              31          1
              30          1
              29          1
              26          1







                   Table of Item Difficulty for the 2009
                      American Mathematics Contest  8
                 Tabulation of responses by     868 Students
                             Percent of Responses


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

      1    0.00      0.35      2.42      0.81     96.43*     0.00      0.00
      2    3.00      4.15      3.92     85.71*     2.65      0.58      0.00
      3   13.71      3.46     79.72*     1.61      1.04      0.23      0.23
      4    6.80     72.35*     2.65      8.64      9.10      0.35      0.12
      5    4.72     18.32     16.01     52.30*     5.07      3.57      0.00
      6   60.60*    10.71      8.29      5.88     12.10      2.42      0.00
      7    3.11      9.10     35.48*    19.82     26.73      5.65      0.12
      8   35.37     17.74*    35.37      4.03      5.30      2.19      0.00
      9   16.71     37.10*    16.59     15.90      7.72      5.76      0.23
     10    3.92     23.39      9.45     51.61*     9.79      1.84      0.00
     11    5.07     14.17     23.39     29.95*    18.09      9.33      0.00
     12   16.82     25.81      5.53     40.44*     7.60*     3.80      0.00
     13    6.34     73.50*     5.99      7.14      3.00      3.92      0.12
     14    5.30      8.99*    71.43      5.07      2.76      6.45      0.00
     15   17.74     12.90     14.52     26.50*    18.55      9.68      0.12
     16   28.34     16.13     16.94     14.63*    12.10     11.87      0.00
     17   11.98     19.82*    23.04     16.59     12.90     15.67      0.00
     18   20.16     12.10     34.10*    12.33      8.53     12.67      0.12
     19   12.44     13.02     15.90     19.35*    21.66     17.28      0.35
     20   18.66     22.35     13.59     16.47*    10.83     17.97      0.12
     21   12.44     31.11     15.21     12.10*     6.11     23.04      0.00
     22   10.02     12.33     18.78     17.05*    20.85     20.85      0.12
     23    9.91     22.00*    11.87     19.93     10.48     25.35      0.46
     24   15.67     16.82     16.24     13.25     10.83*    27.19      0.00
     25   11.06     13.25     14.29     14.06     17.63*    29.72      0.00


   (*)  Correct Response

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