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           2009 AMC8 Report for all schools in California              

           Number of schools returning results      253
           Average of school highest score        18.42
           Average school team score              49.36

           # of State Student Participants        15735
           Overall State Average Score            10.61

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th             425           9.70
                    6th            2603           9.90
                    7th            5252          10.40
                    8th            6996          11.10



           Number of Female Students               7043
           Average Score of Female Students        9.95

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th              151           8.84
                   6th             1122           9.31
                   7th             2341           9.69
                   8th             3353          10.39



           Number of Male Participants             8101
           Average Score of Male Participants     11.19

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th              267          10.21
                   6th             1431          10.30
                   7th             2808          11.02
                   8th             3491          11.79




                     2009 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25           34            3           37
                  24           23            5           28
                  23           37            8           47
                  22           36           10           48
                  21           46           17           68
                  20           86           32          122
                  19          110           36          153
                  18          173           68          248
                  17          226          128          363
                  16          328          182          526
                  15          401          232          657
                  14          526          344          897
                  13          715          452         1220
                  12          805          660         1530
                  11          830          708         1600
                  10          822          794         1690
                   9          761          808         1637
                   8          721          775         1550
                   7          565          671         1278
                   6          417          452          905
                   5          241          338          598
                   4          121          191          320
                   3           47           87          139
                   2           25           23           49
                   1                         9            9
                   0  (@)                    2            2
                   0  ($)       5            8           14



           (@)  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          2            1            2           32
              24          1            1            8           18
              23          1            1           14           30
              22          1            8           12           27
              21          1            8           22           32
              20          1           12           36           68
              19          4           10           39           94
              18          5           27           73          139
              17          5           36          107          207
              16         11           56          161          290
              15         24           83          213          320
              14         15          126          296          430
              13         23          185          411          560
              12         41          232          504          708
              11         32          274          503          733
              10         37          283          574          737
               9         48          290          556          701
               8         32          320          527          627
               7         45          238          449          511
               6         35          173          342          329
               5         24          121          211          227
               4         20           65          123          106
               3          7           37           46           46
               2          9           11           16           13
               1          1            3            2            3
               0(@)                    2            5            8
               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
              75          2
              74          4
              73          3
              71          2
              69          2
              68          3
              67          5
              66          4
              65          4
              64          4
              63          9
              62          4
              61          3
              60          4
              59          2
              58          4
              57          5
              56          9
              55          9
              54          7
              53          8
              52         10
              51         13
              50         14
              49          9
              48          5
              47         11
              46         10
              45          6
              44          5
              43          4
              42          8
              41          7
              40          4
              39          6
              38         12
              37          4
              36          3
              35          2
              34          2
              33          2
              32          1
              31          1
              30          1
              28          2
              27          3
              23          1







                   Table of Item Difficulty for the 2009
                      American Mathematics Contest  8
                 Tabulation of responses by   15735 Students
                             Percent of Responses


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

      1    0.14      0.20      2.22      1.76     95.52*     0.16      0.00
      2    1.86      2.70      2.45     90.78*     1.93      0.28      0.00
      3   10.73      2.35     84.27*     1.18      1.28      0.18      0.01
      4    8.62     69.87*     2.19      8.82      9.91      0.56      0.03
      5    5.07     12.39     15.30     61.40*     4.10      1.72      0.03
      6   73.21*     7.38      6.91      4.75      6.56      1.15      0.03
      7    2.44      8.15     41.00*    19.97     26.20      2.16      0.07
      8   27.77     27.32*    34.19      4.15      5.60      0.95      0.02
      9   13.91     40.37*    17.32     18.20      7.38      2.78      0.05
     10    3.30     27.27     13.03     49.72*     5.97      0.71      0.01
     11    6.22     16.55     23.46     33.98*    15.22      4.50      0.06
     12   15.05     24.12      4.08     48.92*     6.74*     1.03      0.05
     13    6.58     78.61*     4.59      7.37      1.93      0.90      0.02
     14    5.14     10.07*    74.37      4.96      3.26      2.17      0.04
     15   15.63     13.36     16.10     33.73*    17.28      3.81      0.09
     16   31.06     15.91     19.08     15.44*    14.38      4.05      0.08
     17   16.63     23.85*    23.79     17.06     10.91      7.66      0.10
     18   21.63     11.00     40.60*    12.54      9.04      5.08      0.11
     19   10.86     15.31     17.68     25.24*    24.05      6.63      0.23
     20   20.23     28.38     13.98     18.51*    12.10      6.74      0.07
     21   13.68     38.67     17.17     13.95*     6.83      9.64      0.06
     22   11.17     13.71     19.25     23.30*    23.55      8.80      0.22
     23   11.53     27.16*    17.27     22.74     10.59     10.56      0.15
     24   16.66     19.76     21.33     15.22     15.41*    11.50      0.12
     25   12.64     16.08     21.39     17.39     19.07*    13.38      0.06


   (*)  Correct Response

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