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                    2006 Report for Singapore               

           Number of schools returning results    20
           Average of school highest score        19.55
           Average school team score              54.2

           # of State Student Participants      1132
           Overall State Average Score            10.91

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th             644          10.72
                    6th             144          14.78
                    7th             113          10.49
                    8th             145          10.37



           Number of Female Students                471
           Average Score of Female Students       10.53

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th              249          10.53
                   6th               55          13.24
                   7th               55          10.38
                   8th               70          10.34



           Number of Male Participants              661
           Average Score of Male Participants     11.18

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th              395          10.85
                   6th               89          15.73
                   7th               58          10.59
                   8th               75          10.39




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            3            1            4
                  24            3            1            4
                  23            9            3           12
                  22           18            2           20
                  21            7            3           10
                  20           10            3           13
                  19           11            9           20
                  18           23            6           29
                  17           24           15           39
                  16           30           17           47
                  15           29           25           54
                  14           37           27           64
                  13           43           36           79
                  12           52           49          101
                  11           62           37           99
                  10           55           48          103
                   9           57           37           94
                   8           40           43           83
                   7           29           36           65
                   6           38           22           60
                   5           16           12           28
                   4           14           10           24
                   3            5            3            8
                   2            1            1            2
                   1            0            0            0
                   0  (@)       0            0            0
                   0  ($)      45           25           70



           (@)  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          1            2            0            1
              24          1            2            0            1
              23          2            6            4            0
              22          2           15            1            2
              21          2            6            2            0
              20          3            7            2            1
              19          6            7            2            4
              18         11            8            3            7
              17         19           10            4            6
              16         33            4            9            1
              15         31           12            3            8
              14         42            5            7            9
              13         56            9            2            9
              12         78            8            6            7
              11         65            9            6           14
              10         73            5           13            9
               9         49           10            6           15
               8         46            4            7           14
               7         35            5            9            5
               6         33            1            5            7
               5         11            2            4            5
               4          6            0            5            6
               3          3            0            1            2
               2          0            0            1            0
               1          0            0            0            0
               0(@)      36            7           11           12
               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    1132 Students
                             Percent of Responses


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

      1    0.27      0.35      4.15     87.81*     1.24      6.18      0.00
      2    2.83      1.77     84.45*     2.03      2.39      6.54      0.00
      3   53.98*     7.24     15.11      6.98      9.89      6.80      0.00
      4    2.56     71.64*     6.18     10.51      2.74      6.36      0.00
      5    5.74      2.47      5.30     72.79*     6.54      7.07      0.09
      6    3.45     10.87     66.70*     6.89      5.57      6.54      0.00
      7   27.83     22.35*     9.54     16.87     16.08      7.16      0.18
      8   15.28      3.53      9.01      8.04     56.63*     7.42      0.09
      9   13.07      9.45     42.76*    10.42     15.81      8.39      0.09
     10   23.59*    25.53     26.15      6.98      9.28      8.39      0.09
     11   17.23     30.30     15.46*    17.67     10.34      9.01      0.00
     12    9.89      7.16     28.00     37.54*     9.89      7.42      0.09
     13    5.65     14.40     28.98     29.86*    12.01      9.10      0.00
     14    6.01     73.94*     3.80      5.48      3.27      7.24      0.27
     15   16.70      9.19     42.76*    10.34     10.07     10.87      0.09
     16   10.95     17.93     21.64     10.16     27.39*    11.93      0.00
     17   10.25     29.15*     9.98     28.62     12.19      9.63      0.18
     18    5.83      8.04     20.14     31.54*    23.41     11.04      0.00
     19    5.92     11.75      9.89     56.80*     5.12     10.51      0.00
     20    9.10     18.82     38.25*    12.99     10.60     10.16      0.09
     21   37.81*     9.45     12.63     15.64     12.90     11.57      0.00
     22   15.46     26.33     16.52     19.26*     8.83     13.60      0.00
     23   30.04*    11.93     15.28     10.78     17.67     14.13      0.18
     24   17.05*     9.72     19.61     19.79     17.40     16.17      0.27
     25   10.95     21.64*    16.70     15.99     17.31     17.31      0.09


   (*)  Correct Response

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