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           2009 AMC8 Report for all schools in Singapore               

           Number of schools returning results       37
           Average of school highest score        19.32
           Average school team score              54.84

           # of State Student Participants         2012
           Overall State Average Score            13.48

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th             797          11.46
                    6th              98          13.83
                    7th             617          14.87
                    8th             491          14.99



           Number of Female Students                825
           Average Score of Female Students       13.01

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th              284          10.87
                   6th               33          13.48
                   7th              287          14.06
                   8th              220          14.37



           Number of Male Participants             1166
           Average Score of Male Participants     13.83

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th              508          11.82
                   6th               65          14.00
                   7th              323          15.65
                   8th              263          15.49




                     2009 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            5            1            6
                  24           22            2           24
                  23           10            1           11
                  22           25            9           35
                  21           32           11           43
                  20           38           15           53
                  19           56           31           88
                  18           61           46          107
                  17           85           48          135
                  16           90           74          165
                  15           83           70          154
                  14           94           58          154
                  13           84           76          164
                  12           90           71          163
                  11           95           75          172
                  10           87           63          150
                   9           66           71          138
                   8           50           31           81
                   7           46           40           88
                   6           24           16           41
                   5           15           11           26
                   4            6            3            9
                   3                         1            1
                   2            2            1            3
                   1
                   0  (@)
                   0  ($)                                 1



           (@)  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                       1            2            3
              24          1                         9           14
              23          2            1            3            5
              22          1            1           19           14
              21          2            2           27           12
              20          7                        25           21
              19         16            5           34           33
              18         17            2           57           31
              17         35            6           54           39
              16         38           14           66           46
              15         52           10           48           44
              14         58            9           42           45
              13         58           17           45           44
              12         74            7           44           37
              11        100            3           41           27
              10         78            5           34           32
               9         83            9           25           20
               8         56            4           11           10
               7         69                        11            6
               6         25                        10            5
               5         15            1            7            3
               4          5            1            3
               3          1
               2          3
               1
               0(@)       1
               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          1
              74          1
              72          1
              71          1
              68          1
              66          2
              64          1
              63          2
              62          1
              61          2
              58          1
              57          1
              56          1
              55          1
              53          1
              52          4
              50          2
              48          4
              47          2
              45          1
              44          1
              43          1
              41          1
              40          2
              37          1







                   Table of Item Difficulty for the 2009
                      American Mathematics Contest  8
                 Tabulation of responses by    2012 Students
                             Percent of Responses


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

      1    0.00      0.00      0.60      0.45     98.86*     0.05      0.05
      2    0.40      0.89      1.14     96.77*     0.65      0.15      0.00
      3    5.02      0.75     92.45*     0.89      0.70      0.20      0.00
      4    4.87     79.67*     0.80      6.21      7.85      0.60      0.00
      5    2.49      7.55      7.75     76.59*     3.73      1.89      0.00
      6   88.42*     2.44      2.63      2.58      3.18      0.75      0.00
      7    1.34      4.67     69.73*     8.50     14.56      1.14      0.05
      8   12.77     52.39*    18.09      7.75      8.20      0.75      0.05
      9   10.29     43.24*    15.36     20.03      7.31      3.73      0.05
     10    2.78     16.65      9.49     64.66*     5.86      0.50      0.05
     11    5.22     12.87     17.79     47.12*    12.82      4.17      0.00
     12   10.39     19.33      5.37     57.85*     5.82*     1.14      0.10
     13    6.81     76.09*     5.37      7.26      3.48      0.94      0.05
     14    6.01     37.13*    43.39      6.26      4.57      2.63      0.00
     15   12.57     10.83     13.37     46.47*    13.52      3.18      0.05
     16   24.20     15.16     20.63     18.59*    17.94      3.48      0.00
     17   11.13     31.76*    20.03     17.89     11.93      7.26      0.00
     18   15.66      7.06     58.55*     8.80      6.51      3.33      0.10
     19    7.16      9.84      9.49     50.50*    19.88      2.98      0.15
     20   17.54     27.78     13.27     23.21*    12.48      5.72      0.00
     21   15.56     32.70     17.59     18.49*     7.21      8.40      0.05
     22    9.54     14.71     18.14     33.10*    17.05      7.46      0.00
     23    9.00     36.03*    14.66     19.88     11.13      9.24      0.05
     24   10.64     15.26     20.13     15.36     27.73*    10.79      0.10
     25    9.99     13.37     21.32     18.84     22.42*    14.02      0.05


   (*)  Correct Response

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