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           2006 AMC8 Report for all schools in Virginia                

           Number of schools returning results       48
           Average of school highest score        17.13
           Average school team score              47.60

           # of State Student Participants         3631
           Overall State Average Score             9.50

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              16           8.00
                    6th             249           8.46
                    7th            1198           9.05
                    8th            1986           9.67



           Number of Female Students               1771
           Average Score of Female Students        8.78

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th                6           7.67
                   6th              116           7.83
                   7th              593           8.54
                   8th              978           8.89



           Number of Male Participants             1774
           Average Score of Male Participants     10.21

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               10           8.20
                   6th              132           9.01
                   7th              584           9.58
                   8th              967          10.47




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            3            1            4
                  24            9            3           12
                  23           19            2           21
                  22           12            2           14
                  21           17            6           25
                  20           19            9           29
                  19           33           11           45
                  18           33           16           49
                  17           48           21           70
                  16           48           20           73
                  15           60           39          102
                  14           72           57          132
                  13           95           79          180
                  12          111          100          217
                  11          130          110          244
                  10          150          148          303
                   9          181          213          406
                   8          191          223          425
                   7          172          197          376
                   6          160          207          371
                   5          103          141          251
                   4           57           94          153
                   3           26           44           73
                   2           12           22           36
                   1            7            4           11
                   0  (@)       0            0            0
                   0  ($)       6            2            9



           (@)  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            4
              24          0            3            2            7
              23          0            0            5           14
              22          0            0            2           11
              21          0            0            3           18
              20          0            0            5           20
              19          0            2            5           24
              18          0            1           13           31
              17          0            2           17           45
              16          0            4           24           36
              15          0            2           32           54
              14          0            8           36           77
              13          0            5           71           89
              12          1           13           70          114
              11          0           19           91          120
              10          2           23           82          182
               9          5           21          147          220
               8          1           34          144          241
               7          3           34          126          208
               6          2           29          127          205
               5          2           23           87          133
               4          0           17           53           77
               3          0            4           36           28
               2          0            5           11           19
               1          0            0            7            4
               0(@)       0            0            2            5
               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    3631 Students
                             Percent of Responses


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

      1    0.19      1.18      4.35     93.25*     0.69      0.30      0.03
      2    5.04      4.38     78.60*     2.64      7.96      1.35      0.03
      3   41.26*     5.81     29.47     12.56      9.06      1.76      0.08
      4    4.21     62.49*    14.02     11.43      6.72      0.99      0.14
      5   10.88      3.97      4.60     63.62*    14.65      2.20      0.08
      6    6.22     25.36     47.45*     8.12     11.79      1.05      0.00
      7   41.89     18.78*     9.64     14.21     13.49      1.79      0.19
      8    9.75      5.95     12.67      9.03     60.45*     1.98      0.17
      9   27.73     13.36     36.19*    10.13      8.23      4.27      0.08
     10   20.52*    35.89     23.24      9.67      8.10      2.59      0.00
     11   19.53     35.50     15.15*    16.97      8.29      4.54      0.03
     12    4.71      6.11     37.32     38.28*    10.85      2.70      0.03
     13    8.21     17.43     28.01     25.12*    15.73      5.37      0.14
     14    6.69     74.03*     5.67      6.42      3.77      3.33      0.08
     15   21.73     10.27     40.02*    11.62      8.79      7.41      0.17
     16   15.37     18.56     21.81     12.50     21.48*    10.25      0.03
     17    6.47     27.13*    11.04     34.81     13.00      7.49      0.06
     18    9.09     12.64     21.34     21.43*    25.28     10.11      0.11
     19   10.30     14.24     12.34     47.70*     5.45      9.67      0.30
     20   11.81     21.54     28.70*    15.81     10.08     11.87      0.19
     21   17.46*    14.73     17.74     20.41     15.73     13.72      0.22
     22   17.93     27.07     17.16     16.97*     6.33     14.32      0.22
     23   19.75*    15.62     16.30     11.07     20.74     16.19      0.33
     24   14.07*    15.84     25.81     15.48     10.74     18.01      0.06
     25   13.61     20.16*    19.58     14.29     12.70     19.64      0.03


   (*)  Correct Response

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