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           2006 AMC8 Report for all schools in Ontario                 

           Number of schools returning results       13
           Average of school highest score        20.54
           Average school team score              53.62

           # of State Student Participants          814
           Overall State Average Score            11.89

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th               4          13.50
                    6th              26           9.77
                    7th             251          11.60
                    8th             499          12.06



           Number of Female Students                355
           Average Score of Female Students       11.26

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th                2          11.50
                   6th               11           8.73
                   7th              134          10.96
                   8th              201          11.53



           Number of Male Participants              424
           Average Score of Male Participants     12.32

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th                2          15.50
                   6th               15          10.53
                   7th              112          12.40
                   8th              289          12.44




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            2            0            2
                  24            6            0            6
                  23            6            1            7
                  22            5            0            5
                  21           11            5           16
                  20            9            6           16
                  19           10            3           13
                  18           11            9           25
                  17           15            9           26
                  16           25           17           45
                  15           26           17           44
                  14           26           24           52
                  13           30           30           65
                  12           34           31           66
                  11           40           39           83
                  10           37           45           89
                   9           39           35           75
                   8           31           29           62
                   7           26           28           54
                   6           18            9           27
                   5           10           11           21
                   4            7            4           11
                   3            0            0            1
                   2            0            2            2
                   1            0            0            0
                   0  (@)       0            0            0
                   0  ($)       0            1            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            1            1
              24          1            0            1            4
              23          0            0            2            5
              22          0            0            0            5
              21          0            0            2           14
              20          0            0            2           12
              19          0            0            3           10
              18          0            0            5           16
              17          0            0            9           14
              16          0            0           16           27
              15          0            2           16           25
              14          0            1           14           32
              13          1            1           21           38
              12          0            2           27           37
              11          0            4           26           52
              10          1            5           28           51
               9          0            3           25           45
               8          0            1           18           41
               7          1            5           16           30
               6          0            0            8           18
               5          0            1            7           13
               4          0            1            3            7
               3          0            0            1            0
               2          0            0            0            1
               1          0            0            0            0
               0(@)       0            0            0            1
               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     814 Students
                             Percent of Responses


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

      1    0.37      0.86      3.44     94.23*     0.98      0.12      0.00
      2    1.11      1.97     95.33*     0.25      0.98      0.37      0.00
      3   54.42*     7.74     15.72     12.04      9.09      0.98      0.00
      4    2.46     76.90*     7.13      9.83      3.32      0.25      0.12
      5    7.62      3.81      6.14     70.27*    10.20      1.84      0.12
      6    3.69     12.29     71.99*     6.88      4.18      0.98      0.00
      7   30.71     27.52*    11.30     13.39     15.11      1.84      0.12
      8   10.32      2.33      9.58      9.71     66.95*     0.86      0.25
      9   20.52     12.78     39.80*    10.81     12.78      3.19      0.12
     10   31.82*    27.15     22.36     10.57      5.90      2.21      0.00
     11   19.41     34.89     20.64*    13.64      7.49      3.93      0.00
     12    3.32      4.42     27.27     57.99*     5.90      0.98      0.12
     13    9.09     14.50     28.99     27.40*    16.58      3.32      0.12
     14    5.41     84.64*     3.44      2.95      2.09      1.35      0.12
     15   15.72      8.35     50.98*    10.81     10.07      3.81      0.25
     16   14.37     14.62     17.32     15.11     32.56*     6.02      0.00
     17    8.72     35.87*    10.44     30.22     12.04      2.70      0.00
     18   11.30      8.72     21.99     32.80*    20.52      4.67      0.00
     19    8.35     13.51     12.29     52.95*     7.49      5.16      0.25
     20   11.55     16.09     41.52*    15.97      9.34      5.41      0.12
     21   26.04*    13.02     20.52     19.16     14.37      6.88      0.00
     22   16.22     31.70     17.69     18.92*     7.86      7.13      0.49
     23   31.08*    12.78     16.34     13.02     19.04      7.49      0.25
     24   19.78*    13.14     23.96     19.66     13.76      9.58      0.12
     25   14.74     26.17*    19.04     13.39     17.20      9.34      0.12


   (*)  Correct Response

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