American Mathematics Competitions
                   2009 AMC 10 A Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1867

      Number of unofficial participants:          0

      Average score of participants:           62.9

      Average score for female students  is:   60.2  (   629 Students)
      Average score for male students is:      66.9  (   757 Students)
      Average score for unspecified gender is  60.1  (   481 Students)
      Average score for grade 10 is:           65.7  (   902 Students)
      Average score for grade 9 is:            60.2  (   682 Students)
      Average score for grade 8 and below is:  69.5  (    42 Students)
      Average score with unknown grade:        58.6  (   241 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  9

        Number of schools returning results      59
        Average school winning score           99.69


                   American Mathematics Competitions
                   2009 AMC 12 A Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   2422

      Number of unofficial participants:          0

      Average score of participants:           62.3

      Average score for female students  is:   59.5  (   859 Students)
      Average score for male students is:      64.6  (  1158 Students)
      Average score for unspecified gender is  61.5  (   405 Students)
      Average score for grade 13 is:           60.0  (     2 Students)
      Average score for grade 12 is:           64.3  (   938 Students)
      Average score for grade 11 is:           60.7  (  1143 Students)
      Average score for grade 10 is:           66.7  (   137 Students)
      Average score for grade 9 is:            69.3  (    35 Students)
      Average score with unknown grade:        56.5  (   167 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 65

        Number of schools returning results      70
        Average school winning score           93.02
        Average school team score             260.53
 


                   American Mathematics Competitions
                   2009 AMC 10 B Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    617

      Number of unofficial participants:          0

      Average score of participants:           63.0

      Average score for female students  is:   60.7  (   240 Students)
      Average score for male students is:      67.0  (   251 Students)
      Average score for unspecified gender is  59.5  (   126 Students)
      Average score for grade 10 is:           64.1  (   284 Students)
      Average score for grade 9 is:            61.6  (   254 Students)
      Average score for grade 8 and below is:  72.6  (    17 Students)
      Average score with unknown grade:        61.5  (    62 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  8

        Number of schools returning results      27
        Average school winning score           97.72


                   American Mathematics Competitions
                   2009 AMC 12 B Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    928

      Number of unofficial participants:          0

      Average score of participants:           66.0

      Average score for female students  is:   60.1  (   319 Students)
      Average score for male students is:      70.1  (   459 Students)
      Average score for unspecified gender is  66.0  (   150 Students)
      Average score for grade 13 is:           99.0  (     2 Students)
      Average score for grade 12 is:           68.5  (   367 Students)
      Average score for grade 11 is:           63.2  (   368 Students)
      Average score for grade 10 is:           66.8  (    82 Students)
      Average score for grade 9 is:            66.4  (    40 Students)
      Average score for grade 8 and below is:  81.0  (     1 Student) 
      Average score with unknown grade:        65.5  (    68 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 40

        Number of schools returning results      35
        Average school winning score           95.91
        Average school team score             266.14
 


    2009 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    370.5                   1         1
    366.0         1                   2
    360.0         1                   3
    352.5                   1         4
    339.0                   1         5
    334.5         1                   6
    327.0         1                   7
    324.0                   2         8
    321.0         1                  10
    319.5         2                  11
    312.0                   1        13
    310.5                   1        14
    309.0         1                  15
    306.0         1         1        16
    303.0         1         2        18
    300.0         1                  21
    298.5         3                  22
    297.0         1                  25
    294.0         1         1        26
    292.5         3                  28
    291.0         1                  31
    288.0                   1        32
    286.5         1         1        33
    282.0         2         1        35
    280.5         2         1        38
    279.0         1         3        41
    274.5         3         1        45
    273.0         1         1        49
    271.5         2                  51
    270.0         1                  53
    267.0         1                  54
    265.5                   1        55
    264.0         1                  56
    259.5         1                  57
    258.0         3         1        58
    256.5         1                  62
    255.0         1                  63
    253.5         1         1        64
    252.0                   1        66
    246.0         2                  67
    244.5         1                  69
    241.5         2                  70
    240.0         1         1        72
    235.5         2                  74
    231.0         2                  76
    229.5         1                  78
    228.0         2                  79
    226.5         1                  81
    225.0         1                  82
    223.5         1                  83
    219.0         2                  84
    217.5                   1        86
    214.5         1                  87
    211.5         2                  88
    207.0         1         2        90
    204.0                   1        93
    202.5         2                  94
    201.0         1         2        96
    198.0                   2        99
    187.5         1                 101
    184.5                   1       102
    168.0                   1       103
    157.5         1                 104
    100.5         1                 105
 


         2009 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    144.0                             1
    138.0                             3         1
    133.5         1
    132.0                                       1
    129.0         1
    127.5                   1
    126.0                   2         1         2
    124.5         1         1         2
    123.0                                       2
    121.5         1                   1         1
    120.0         1                   1         1
    118.5                   3         4         1
    117.0         1                   3         1
    115.5         1         1         3
    114.0         1         1         7
    112.5         2         4         3
    111.0         3                   3         2
    109.5         4         4         2
    108.0         4         4         4
    106.5         5         4         2
    105.0         4         3         3         3
    103.5         5         4         1         4
    102.0         6         4         4         6
    100.5         4         4         5         1
     99.0         9         3        15         3
     97.5        11         8         9         3
     96.0        11         8        14         3
     94.5        19        12        14         4
     93.0        17         9        18         6
     91.5        16        11        15         2
     90.0         7        10        23         5
     88.5        23        22        10         5
     87.0        15        14        16         8
     85.5        20        18        20        11
     84.0        18        17        26        18
     82.5        30        23        24        12
     81.0        33        15        38        11
     79.5        52        17        18         7
     78.0        55        20        36        16
     76.5        77        16        39         7
     75.0        56        27        49        11
     73.5        60        22        44        24
     72.0        90        27        61        16
     70.5        69        26        50        12
     69.0        87        24        55        18
     67.5        84        36        63        17
     66.0       108        32        70        17
     64.5        96        29        52        16
     63.0        81        21        57        24
     61.5        78        34        53        15
     60.0       117        32        67        27
     58.5        82        29        74         9
     57.0        84        24        51        23
     55.5        91        27        68        20
     54.0       102        21        75        20
     52.5        60        22        62        21
     51.0        78        26        56        24
     49.5        64        30        62        15
     48.0        72        32        66        15
     46.5        42        21        52        10
     45.0        64        16        42         8
     43.5        39        19        32        12
     42.0        43        23        53        10
     40.5        25        10        27         6
     39.0        27        15        22        13
     37.5        24         6        24        16
     36.0        38         9        32        11
     34.5        19         3        11         6
     33.0        18         4         4         9
     31.5         8         3         5         8
     30.0        15         6        16         4
     28.5         6         3         6         3
     27.0         4         1         4         2
     25.5         9         2         2         1
     24.0        10         1         5         3
     22.5         3                   2
     21.0         1                             3
     19.5                   1         3
     18.0         5                   2         1
     16.5         1
     15.0         1
     12.0         2         1
      6.0         1



                   American Mathematics Competitions
                   2009 AMC 10 A Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10      ?
    ----------------------------------------------------------------------------------------
    144.0      1                                                1
    138.0      3                           1                    2
    126.0             1                                         1
    124.5      2                                  1             1
    121.5      1                                                1
    120.0                                                       1
    118.5      3                                         2      2
    117.0      2      1                                  1      2
    115.5      2      1                                         3
    114.0      5      1                                  3      4
    112.5      3                                         1      2
    111.0      2                                  2             1
    109.5      1                                         1      1
    108.0      4                                         1      3
    106.5      2                                                2
    105.0      2                                                2      1
    103.5      1                                                1
    102.0      3      1                           1      1      2
    100.5      3      1                           2      1      2
     99.0      8      3                                  6      7      2
     97.5      6      1                                  3      5      1
     96.0      6      4                                  5      6      3
     94.5      9      5                    1      1      4      8
     93.0     10      4                           1      6     10      1
     91.5     10      3                           2      1     11      1
     90.0     14      4                                  6     14      3
     88.5      4      1                           1      4      4      1
     87.0     12      2                                  4     11      1
     85.5     11      4                                  4     16
     84.0     10      8                           2      7     17
     82.5     16      4                           1      6     16      1
     81.0     16     14                                 14     19      5
     79.5      6     11                                  6     11      1
     78.0     24      7                                 11     21      4
     76.5     17     15                                  6     28      5
     75.0     25     14                           1     18     25      5
     73.5     20     12                    1            19     21      3
     72.0     27     19                                 23     34      4
     70.5     16     21                                 12     29      9
     69.0     23     19                                 20     30      5
     67.5     23     24                           2     21     28     12
     66.0     32     19                           1     27     35      7
     64.5     15     24                                 18     30      4
     63.0     24     16                    1            20     29      7
     61.5     22     16                                 18     29      6
     60.0     27     19                           2     27     22     16
     58.5     28     24                    1      1     26     32     14
     57.0     15     27                           1     15     29      6
     55.5     26     24                                 28     31      9
     54.0     29     28                           1     36     31      7
     52.5     15     26                                 30     18     14
     51.0     19     22                    1            22     22     11
     49.5     21     21                           1     24     28      9
     48.0     21     25                           2     34     20     10
     46.5     12     26                           3     20     20      9
     45.0     13     21                                 16     22      4
     43.5     10     15                                 12     16      4
     42.0     21     13                           1     24     19      9
     40.5      6     14                           1      8     14      4
     39.0      5      9                    1             8      8      5
     37.5      7     11                           1     12      8      3
     36.0     16      6                                 15     13      4
     34.5      3      2                                  3      2      6
     33.0      1      3                                  1      3
     31.5      1      2                                  1      2      2
     30.0      7      6                           1      6      7      2
     28.5      3      3                                  3      3
     27.0      1                                         3      1
     25.5      1      1                                  1      1
     24.0                                                5
     22.5      1      1                           1             1
     19.5      1                                         1      1      1
     18.0      1                                  1      1



                   American Mathematics Competitions
                   2009 AMC 10 A Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.43      0.43      0.37      8.19     89.98*     0.54      0.05
      2   91.00*     1.50      0.80      1.34      2.14      3.21      0.00
      3    2.62     10.98     65.29*     6.32      3.70     11.09      0.00
      4   23.19*     7.34      5.03      9.32     17.03     38.03      0.05
      5   10.50      6.16      5.36      3.64     42.64*    31.66      0.05
      6   52.76*     4.23      7.23      4.61      1.18     29.94      0.05
      7    6.75      4.39     23.73*     4.45     32.51     28.07      0.11
      8    9.53     75.52*     3.32      1.45      1.18      9.00      0.00
      9    8.30     15.32*     8.09      4.02      1.12     63.10      0.05
     10    3.75     17.57*     5.46     11.19      2.73     59.29      0.00
     11    2.09      2.89      4.61     49.49*     1.71     39.15      0.05
     12    4.71      7.61     23.62*     9.05      5.78     49.17      0.05
     13   21.64      5.30      3.91     13.28     10.71*    44.99      0.16
     14   38.08*     1.23      4.55      4.66     13.34     38.08      0.05
     15    2.62      3.54      3.91      6.86     45.69*    37.28      0.11
     16   24.58      5.03      3.37      7.39*     6.11     53.51      0.00
     17    4.34      8.52      7.45*     2.73      4.18     72.79      0.00
     18   19.44     10.93      6.64     13.55*     7.28     42.10      0.05
     19    5.36      8.94*     6.37      8.68      2.89     67.65      0.11
     20    8.09      9.64     11.09     32.08*     2.14     36.90      0.05
     21    2.25      2.46     12.64*     3.43      2.20     77.02      0.00
     22    6.48      4.39     32.14      7.18*     4.12     45.63      0.05
     23    2.89      2.57      4.28      3.59     10.66*    75.95      0.05
     24    6.80     13.98      4.66*     3.70      6.86     64.01      0.00
     25    4.66      4.98*     5.84      4.18      2.95     77.40      0.00


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2009 AMC 12 A Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10     11     12     13      ?
    ----------------------------------------------------------------------------------------
    133.5                                                              1
    129.0      1                                                1
    124.5      1                                                              1
    121.5             1                                                       1
    120.0      1                                                       1
    117.0      1                                                1
    115.5      1                                                1
    114.0                                                              1
    112.5      1      1                                                1      1
    111.0      3                                                       1      2
    109.5             3                                                1      3
    108.0      3                                                2             2
    106.5      4                                                1      2      2
    105.0      3      1                                         1      2      1
    103.5      4                                                1      3      1
    102.0      4      2                                                       6
    100.5      1                                                       1      3
     99.0      4      2                                  2             3      4
     97.5      9      2                                         3      5      3
     96.0      5      1                                         1      3      7
     94.5     10      6                                  1             6     11             1
     93.0     10      6                                  1      2      8      6
     91.5     12      4                                         2      6      7             1
     90.0      5      1                                         1      4      2
     88.5     12      7                                  1      1      9     10             2
     87.0     10      4                                         2      4      9
     85.5     15      3                                  1      1     10      8
     84.0     10      5                                                6     11             1
     82.5     18      8                                         2      9     19
     81.0     23      6                                  2      5     10     15             1
     79.5     30     17                                         1     21     27             3
     78.0     34     11                                  2      3     26     20             4
     76.5     43     19                                  3      7     27     34             6
     75.0     32     15                                         4     26     24             2
     73.5     30     21                                  3      1     32     21             3
     72.0     46     27                                  2      5     41     36             6
     70.5     37     19                                         3     32     31             3
     69.0     42     29                                  1      3     40     38             5
     67.5     34     39                                         2     44     31             7
     66.0     51     36                                  2      7     51     44             4
     64.5     40     38                                         6     55     27             8
     63.0     38     31                                  1      6     37     34             3
     61.5     40     27                                  2      4     34     35             3
     60.0     54     42                                  2      6     67     33      2      7
     58.5     34     34                                  2      1     36     35             8
     57.0     45     30                                         5     31     44             4
     55.5     38     39                                         4     42     38             7
     54.0     52     37                                  1      8     52     36             5
     52.5     23     26                                  1      7     29     14             9
     51.0     29     35                                  1      4     45     23             5
     49.5     24     26                                         3     25     28             8
     48.0     35     24                                  2      4     38     22             6
     46.5     20     14                                         3     19     17             3
     45.0     26     27                                         1     41     15             7
     43.5     15     20                                         1     19     17             2
     42.0     25     13                                         3     23     12             5
     40.5      7     12                                         1     13      7             4
     39.0     10     13                                  1      1     11     11             3
     37.5      3     15                                  1            11      8             4
     36.0     13     17                                         2     19     12             5
     34.5      5      7                                               12      2             5
     33.0      5     12                                         2      5     10             1
     31.5      1      4                                                4      3             1
     30.0      5      4                                         1      8      4             2
     28.5      2      2                                                3      1             2
     27.0             4                                                3      1
     25.5      5      4                                                5      4
     24.0      8                                                      10
     22.5      2      1                                                3
     21.0             1                                                1
     18.0      3      1                                                2      2             1
     16.5             1                                                1
     15.0             1                                                1
     12.0      1                                                       1      1
      6.0             1                                                       1



                   American Mathematics Competitions
                   2009 AMC 12 A Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1   83.32*     6.81      1.24      0.87      2.48      5.20      0.08
      2    1.36      6.28     80.47*     4.42      2.56      4.83      0.08
      3    7.02     73.33*     4.21      7.76      1.98      5.66      0.04
      4   93.77*     0.99      0.58      0.91      1.86      1.86      0.04
      5    1.57      2.11      2.81     71.47*     1.98     20.02      0.04
      6   23.58      4.87      3.22     15.57     24.48*    28.20      0.08
      7    3.47     17.13*     5.78      2.60      2.56     68.41      0.04
      8   53.22*     1.73      6.40      4.83      9.91     23.91      0.00
      9    2.31      5.00      4.13     26.55*     6.07     55.95      0.00
     10    4.09      7.02     33.73*    10.40      7.06     37.65      0.04
     11    1.94      3.26      4.46      6.32     64.57*    19.36      0.08
     12   11.73     22.83*     5.70      8.84      3.84     47.03      0.04
     13   11.40     10.86     11.85     12.51*     5.12     48.18      0.08
     14    3.30      4.75*     6.94     12.01      6.28     66.68      0.04
     15    7.68      6.11      7.64     17.42*     4.83     56.28      0.04
     16   12.30      6.77      6.94      5.33*     3.34     65.32      0.00
     17    4.21      4.09      6.81*     4.34      7.51     73.00      0.04
     18    9.79      5.33*     5.45      2.31      3.39     73.70      0.04
     19    6.56      9.12      7.43*     8.67      8.26     59.87      0.08
     20    3.30      2.64      7.56      4.42     11.07*    71.02      0.00
     21    5.12      4.25      5.00*     2.48      4.21     78.86      0.08
     22    3.51      4.67      4.25      4.50      2.19*    80.84      0.04
     23    1.90      3.59      3.96      2.64*     1.28     86.62      0.00
     24    8.63      4.95      3.88      2.44      1.45*    78.65      0.00
     25    2.52*     4.42      4.83      5.49      6.98     75.76      0.00


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2009 AMC 10 B Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10      ?
    ----------------------------------------------------------------------------------------
    138.0                                                              1
    132.0      1                                         1
    126.0      2                                                2
    123.0      2                                         1      1
    121.5             1                                         1
    120.0      1                                         1
    118.5      1                                                1
    117.0             1                                         1
    111.0             2                           1      1
    105.0      3                                  1      1      1
    103.5      2      2                                  3      1
    102.0      2      3                                  3      3
    100.5      1                                                1
     99.0      1      1                                  1      1      1
     97.5      2                                  1      1      1
     96.0      1      1                                  2      1
     94.5      4                                         2      2
     93.0      5      1                                  3      3
     91.5             1                                         2
     90.0      2      2                                  1      4
     88.5      3      2                                  2      3
     87.0      3      4                                  2      5      1
     85.5      6      4                                  4      6      1
     84.0     11      2                           1      5      9      3
     82.5      8      4                    1             5      5      1
     81.0      4      5                           1      3      5      2
     79.5      2      3                           1      3      2      1
     78.0      7      4                                  5      9      2
     76.5      6                                         1      6
     75.0      8      1                           1      4      5      1
     73.5     10      9                                  6     15      3
     72.0      5      6                                  8      6      2
     70.5      7      3                           1      6      5
     69.0      5      7                    1             6      7      4
     67.5      7      6                                 11      4      2
     66.0      7      7             1                    6      7      3
     64.5      3     10                                  9      6      1
     63.0      7     14                                 12     10      2
     61.5      4      8                                  8      6      1
     60.0     15      9                                  9     18
     58.5      2      5                                  4      4      1
     57.0      7     10                                  7     11      5
     55.5     11      8                                  3     16      1
     54.0      6     10                           4     10      5      1
     52.5      7      8                                  9      8      4
     51.0      8     10                           1     12      9      2
     49.5      5      6                                  6      8      1
     48.0      6      7                                  9      4      2
     46.5      6      3                           1      5      4
     45.0      3      4                                  4      4
     43.5      4      6                                  6      5      1
     42.0      2      6                                  6      3      1
     40.5      2      3                                  2      3      1
     39.0      6      5                                  7      5      1
     37.5      3      8                                  8      6      2
     36.0      4      1                                  3      5      3
     34.5      2      3                                  1      5
     33.0      3      4                                  3      4      2
     31.5             5                                  6      2
     30.0      2      2                                  1      3
     28.5      1      2                                  3
     27.0      2                                         1      1
     25.5                                                              1
     24.0             1                                  1      2
     21.0      1                                         1      2
     18.0                                                              1



                   American Mathematics Competitions
                   2009 AMC 10 B Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.32     70.66*     7.13     17.67      2.59      1.62      0.00
      2    6.48      2.43     77.63*     1.46      0.81     11.18      0.00
      3    1.13      5.83     68.88*    10.70      2.27     11.18      0.00
      4    1.13      3.24     68.88*    12.97      2.43     11.35      0.00
      5    8.91      4.21     17.67     47.97*     3.08     18.15      0.00
      6    1.78      1.46      5.02     64.18*     4.21     23.34      0.00
      7   13.29     19.12     48.62*     9.40      5.35      4.21      0.00
      8    2.27     24.80*     9.40     40.68      4.54     18.15      0.16
      9   27.71*     4.86      5.19      6.81      2.92     52.51      0.00
     10   10.21      4.38      3.57      4.38     28.04*    49.43      0.00
     11   57.37*     5.51      5.83      4.38      2.59     24.15      0.16
     12   17.34*    13.94      8.91     15.88     11.67     32.25      0.00
     13    4.70     12.64     32.25*     7.46     10.70     32.25      0.00
     14    5.02     27.23     17.67     17.83*     8.27     23.99      0.00
     15    9.08      8.75      4.86      6.97     41.33*    29.01      0.00
     16    2.59     10.21*     2.59      1.78      5.02     77.80      0.00
     17   22.20     13.78     15.56*     2.11      0.81     45.54      0.00
     18    3.24      5.02      5.83      6.48*     3.40     76.01      0.00
     19   16.05*    22.69      8.91     13.61      3.24     35.49      0.00
     20    7.29     11.02*     5.02      1.30      4.21     71.15      0.00
     21    4.54      9.08      3.57      9.24*     4.86     68.72      0.00
     22    2.92      2.59*     3.40      3.40      1.46     86.22      0.00
     23    6.32      7.13     10.53*     7.78      6.16     62.07      0.00
     24   14.10*     4.21      3.40      3.89      5.02     69.37      0.00
     25   18.80     15.72*     8.10      4.70      7.46     45.22      0.00


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2009 AMC 12 B Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10     11     12     13      ?
    ----------------------------------------------------------------------------------------
    127.5      1                                                       1
    126.0      2                                                2
    124.5      1                                                       1
    118.5      2                                                1             2
    115.5      1                                                       1
    114.0      1                                                       1
    112.5      3                                         1      2                    1
    109.5      4                                                              4
    108.0      1      2                                                1      2             1
    106.5      3      1                                  1      2             1
    105.0      3                                                       1      2
    103.5      3      1                                         1      1      2
    102.0      4                                         1             1      2
    100.5      3      1                                         1             3
     99.0      1      2                                  1             1      1
     97.5      6      1                                  1             1      5             1
     96.0      8                                                       4      4
     94.5      9      1                                                4      7             1
     93.0      7      1                                  1      1      1      5             1
     91.5      4      5                                         1      6      3             1
     90.0      8                                                       5      4             1
     88.5     16      4                                  2      3      8      9
     87.0      9      4                                                8      6
     85.5     12      5                                  1      1      4     10      1      1
     84.0      9      6                                                8      8             1
     82.5     16      3                                  1      3      6     13
     81.0      6      1                           1                    3      7             4
     79.5      6      5                                                7      6             4
     78.0     12      7                                  1      1      9      9
     76.5      7      6                                                8      7             1
     75.0     11      9                                         3     11      8             5
     73.5     13      8                                         1     10     11
     72.0     18      7                                  2      3      7     14             1
     70.5      6     11                                  2      3      7     11             3
     69.0     12      9                                  1      1      9     13
     67.5     17     10                                  4      5     13     10             4
     66.0     19      5                                  1      1     13     14             3
     64.5     12     10                                  1      4     11     11             2
     63.0     10      9                                         3      7     10             1
     61.5     15     11                                  2      2     12     15             3
     60.0     16     11                                  1      2     13     13             3
     58.5     16      9                                  1      4     11     10             3
     57.0     12      8                                         2     11      6             5
     55.5     11      9                                         4     11      8             4
     54.0      7     10                                  2      4      8      5             2
     52.5      6     14                                  1      4     12      5
     51.0     10     13                                  2      3      9     12
     49.5     14     13                                  2      2     15     10             1
     48.0     16     14                                         2     13     14             3
     46.5      5     11                                  2             9      8             2
     45.0      6      8                                         1      5      9             1
     43.5      3     13                                  2            11      5             1
     42.0     10      7                                         4     11      7             1
     40.5      6      4                                  1             6      3
     39.0      5      8                                         2      8      4             1
     37.5      4      1                                                4      1             1
     36.0      5      4                                                5      4
     34.5      1      2                                                3
     33.0      1      3                                  1      1      1      1
     31.5      1      1                                                3
     30.0      2      4                                                5      1
     28.5             3                                                2      1
     27.0                                                                                   1
     25.5             2                                         1      1
     24.0             1                                         1
     19.5             1                                                       1
     12.0      1                                         1



                   American Mathematics Competitions
                   2009 AMC 12 B Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.43     78.02*     7.87     11.96      1.40      0.32      0.00
      2    0.75      3.56     77.37*    13.15      0.86      4.31      0.00
      3    6.68      1.62     21.12     60.88*     1.51      8.08      0.11
      4    2.26      2.26     77.48*     9.59      2.37      6.03      0.00
      5    0.86      1.51      5.17     79.53*     2.48     10.45      0.00
      6    8.30     15.63     59.91*     7.11      5.06      3.99      0.00
      7    5.28     44.40*     8.08     28.77      4.85      8.62      0.00
      8    3.99      6.68      1.94      5.50     65.63*    16.27      0.00
      9   48.06*     4.63      2.80      5.39      2.48     36.64      0.00
     10   33.62*    19.61     12.39      8.19      3.02     23.17      0.00
     11    4.63     27.16     21.77     20.47*     7.87     18.10      0.00
     12    1.83      3.13      5.82      4.42     28.77*    56.03      0.00
     13    3.66      2.59      4.42     17.78*     5.60     65.95      0.00
     14   12.82     14.87     28.13*     2.16      1.08     40.95      0.00
     15    1.19     45.80*    10.88      7.44      3.66     31.03      0.00
     16    3.13      4.53*     1.51      1.19      1.08     88.58      0.00
     17   22.31     20.58*     8.73      6.68      3.02     38.69      0.00
     18    4.74      8.73     13.90*     4.63      5.28     62.72      0.00
     19    1.19      2.05      3.02      1.72      2.26*    89.76      0.00
     20    1.83      2.48      2.91*     1.51      3.66     87.61      0.00
     21    3.66*     6.03      4.63      9.70     24.68     51.29      0.00
     22    1.29      3.13      2.26*     3.45      1.19     88.69      0.00
     23    1.62      2.37      2.80      2.16*     1.08     89.98      0.00
     24    6.57      7.22*     1.51      3.34      0.65     80.71      0.00
     25    6.36      3.23      3.34      3.66      2.59*    80.82      0.00


   (*)  Correct Response

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