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           2006 AMC8 Report for all schools in Utah                    

           Number of schools returning results       20
           Average of school highest score        18.40
           Average school team score              48.95

           # of State Student Participants          592
           Overall State Average Score            10.10

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              20           7.10
                    6th              73          10.22
                    7th             206           9.97
                    8th             282          10.35



           Number of Female Students                221
           Average Score of Female Students        9.21

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th                8           6.50
                   6th               25           8.92
                   7th               73           9.41
                   8th              110           9.33



           Number of Male Participants              355
           Average Score of Male Participants     10.61

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               12           7.50
                   6th               43          10.86
                   7th              128          10.28
                   8th              168          11.02




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            0            0            0
                  24            2            0            2
                  23            3            0            3
                  22            3            0            4
                  21            1            1            2
                  20            4            0            4
                  19            6            0            6
                  18            4            0            4
                  17            7            3           10
                  16            8            1            9
                  15           13            2           15
                  14           19            6           27
                  13           29            8           38
                  12           30           17           47
                  11           35           31           71
                  10           30           30           63
                   9           43           36           80
                   8           44           31           75
                   7           31           16           48
                   6           19           20           41
                   5           14           12           26
                   4            5            3            8
                   3            2            3            5
                   2            1            0            1
                   1            0            0            0
                   0  (@)       0            0            0
                   0  ($)       2            1            3



           (@)  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            1            1
              23          0            0            0            3
              22          0            1            2            0
              21          0            0            1            1
              20          0            0            1            3
              19          0            1            1            3
              18          1            0            1            2
              17          0            1            3            6
              16          0            2            4            3
              15          0            4            8            3
              14          0            5            7           15
              13          0            3           13           21
              12          1            3           17           26
              11          0            9           23           38
              10          2           11           22           27
               9          2           11           25           41
               8          1            8           33           32
               7          2            3           13           26
               6          4            8           13           16
               5          4            2            9           11
               4          0            0            5            3
               3          2            0            2            1
               2          1            0            0            0
               1          0            0            0            0
               0(@)       0            1            2            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     592 Students
                             Percent of Responses


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

      1    0.00      0.84      3.21     93.24*     2.20      0.51      0.00
      2    3.72      1.69     90.88*     2.03      1.01      0.68      0.00
      3   49.49*     5.07     20.44     12.16     10.81      2.03      0.00
      4    4.22     68.92*    11.15     10.30      4.73      0.68      0.00
      5   10.64      4.05      4.05     62.67*    16.05      2.53      0.00
      6    4.39     20.27     56.42*     6.76     11.32      0.84      0.00
      7   38.01     22.13*     6.25     14.53     17.23      1.86      0.00
      8   10.47      2.70     12.67     10.81     62.16*     1.01      0.17
      9   21.96     16.22     38.85*    10.81      9.97      2.20      0.00
     10   22.64*    29.39     24.83     13.01      8.45      1.69      0.00
     11   24.66     30.74     14.36*    17.74      8.28      3.89      0.34
     12    6.08      6.08     33.95     41.72*    10.81      1.18      0.17
     13    6.59     15.71     28.72     29.56*    16.39      3.04      0.00
     14    7.26     79.73*     4.73      2.87      4.05      1.18      0.17
     15   22.47     11.99     36.49*    11.66     13.01      4.39      0.00
     16   18.75     18.24     22.80     12.67     19.93*     7.60      0.00
     17    6.25     25.84*    10.98     38.18     13.51      5.24      0.00
     18    7.77     12.67     23.99     25.34*    23.14      6.93      0.17
     19    7.60     13.51     11.66     54.05*     5.74      7.43      0.00
     20   10.98     22.30     28.89*    16.39     12.84      8.61      0.00
     21   14.70*    12.33     21.79     20.10     19.76     11.32      0.00
     22   23.82     29.05     14.53     14.86*     5.74     11.99      0.00
     23   20.27*    15.03     19.59     12.16     19.76     13.18      0.00
     24   14.86*    16.22     23.48     17.91     13.18     14.36      0.00
     25   14.19     22.13*    19.43     14.36     14.36     15.37      0.17


   (*)  Correct Response

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