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           2010 AMC8 Report for all schools in Singapore               

           Number of schools returning results       32
           Average of school highest score        19.84
           Average school team score              56.31

           # of State Student Participants         1772
           Overall State Average Score            13.92

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th             566          11.39
                    6th             212          13.47
                    7th             504          15.38
                    8th             485          15.54



           Number of Female Students                769
           Average Score of Female Students       13.36

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th              209          10.42
                   6th               76          13.41
                   7th              228          14.52
                   8th              254          14.70



           Number of Male Participants              996
           Average Score of Male Participants     14.33

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th              357          11.95
                   6th              135          13.55
                   7th              271          16.03
                   8th              230          16.43




                     2010 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25           12            1           14
                  24           20            2           22
                  23           17            2           20
                  22           32            6           39
                  21           35           19           54
                  20           43           21           64
                  19           54           46          101
                  18           50           41           91
                  17           78           61          140
                  16           71           67          138
                  15           69           61          131
                  14           72           62          134
                  13           75           50          125
                  12           68           62          130
                  11           62           50          112
                  10           53           49          102
                   9           60           56          116
                   8           41           38           80
                   7           36           31           67
                   6           27           28           55
                   5           10            9           19
                   4            7            5           12
                   3            2            2            4
                   2            1                         1
                   1
                   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

                         2010 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25          1                         3           10
              24          2            2            8           10
              23          1            2            8            9
              22          3            2           14           20
              21          6            6           17           23
              20          4            6           27           27
              19         13           11           33           44
              18         12            7           40           32
              17         24           18           56           41
              16         25           20           50           43
              15         37           15           50           29
              14         36           19           44           34
              13         45           18           35           27
              12         50           15           30           35
              11         54           13           27           18
              10         43           19           17           23
               9         58           13           16           28
               8         48            5           15           12
               7         47            5            6            9
               6         34            9            5            7
               5         11            5            1            2
               4          8                         2            2
               3          4
               2                       1
               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





                         2010 American Mathematics Contest  8
                             Number of Schools with 3+ students
                              Achieving team Scores



            SCORE   school count
              75          2
              72          3
              69          1
              66          2
              64          1
              63          2
              62          1
              61          3
              60          2
              59          1
              53          2
              51          1
              50          1
              49          1
              48          1
              45          1
              43          1
              42          2
              38          1
              36          2
              35          1







                   Table of Item Difficulty for the 2010
                      American Mathematics Contest  8
                 Tabulation of responses by    1772 Students
                             Percent of Responses


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

      1    0.85      1.86     96.73*     0.45      0.06      0.06      0.00
      2    3.27      1.24      2.26     86.46*     5.81      0.96      0.00
      3    2.88     10.50     82.62*     1.86      0.62      1.52      0.00
      4   10.21     19.47     44.86*    13.26      9.76      2.37      0.06
      5    1.30     92.38*     1.92      1.13      2.93      0.34      0.00
      6    2.77      4.29      1.98     10.33     79.57*     0.96      0.11
      7   30.47     32.51*    17.49      9.54      6.88      3.05      0.06
      8   17.44     20.54     17.16     36.68*     4.68      3.50      0.00
      9    9.65      3.56     11.91     69.81*     4.01      1.07      0.00
     10    9.65     51.07*    13.32     13.26      9.71      2.99      0.00
     11    4.18     89.16*     2.14      2.09      1.58      0.85      0.00
     12   22.29      4.29      4.85     65.97*     1.81*     0.73      0.06
     13    6.26      9.31     18.12     10.89     52.09*     3.27      0.06
     14    9.76     10.44     46.44*    16.93     11.91      4.51      0.00
     15    8.47      8.30     72.29*     6.21      2.93      1.75      0.06
     16   30.87     31.49*    14.33     10.67      8.24      4.35      0.06
     17    8.63     29.23     18.00     27.48*    11.91      4.63      0.11
     18    4.23     12.13     58.86*    14.00      8.07      2.71      0.00
     19   18.00     15.18     46.39*    10.21      4.35      5.87      0.00
     20   51.19*     9.42     25.06      7.96      3.39      2.77      0.23
     21    3.89      8.01     65.63*    10.38      7.62      4.40      0.06
     22    6.77     19.47     12.47     13.66     41.93*     5.64      0.06
     23   12.75     27.99*    18.68     18.74     12.36      9.42      0.06
     24   18.68*    29.18     15.46     20.03      9.82      6.77      0.06
     25   14.39     27.43     12.13     12.47     24.10*     9.48      0.00


   (*)  Correct Response

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