American Mathematics Competitions
                   2008 AMC 10 A Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   2091

      Number of unofficial participants:          0

      Average score of participants:           49.8

      Average score for female students  is:   46.9  (   795 Students)
      Average score for male students is:      52.5  (   953 Students)
      Average score for unspecified gender is  49.2  (   343 Students)
      Average score for grade 10 is:           52.2  (   998 Students)
      Average score for grade 9 is:            47.9  (   851 Students)
      Average score for grade 8 and below is:  44.7  (    89 Students)
      Average score with unknown grade:        48.3  (   153 Students)

        AIME qualifying score =  117.0 or better
        Number of AIME qualifers                  3

        Number of schools returning results      63
        Average school winning score           84.76


                   American Mathematics Competitions
                   2008 AMC 12 A Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   2544

      Number of unofficial participants:          0

      Average score of participants:           59.9

      Average score for female students  is:   56.1  (   902 Students)
      Average score for male students is:      62.9  (  1272 Students)
      Average score for unspecified gender is  59.2  (   370 Students)
      Average score for grade 13 is:           45.0  (     2 Students)
      Average score for grade 12 is:           61.6  (   956 Students)
      Average score for grade 11 is:           58.4  (  1226 Students)
      Average score for grade 10 is:           62.1  (   159 Students)
      Average score for grade 9 is:            68.3  (    40 Students)
      Average score for grade 8 and below is:  83.5  (     3 Students)
      Average score with unknown grade:        57.5  (   158 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 76

        Number of schools returning results      72
        Average school winning score           95.75
        Average school team score             259.38
 


                   American Mathematics Competitions
                   2008 AMC 10 B Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    682

      Number of unofficial participants:          0

      Average score of participants:           60.1

      Average score for female students  is:   55.8  (   313 Students)
      Average score for male students is:      64.4  (   323 Students)
      Average score for unspecified gender is  60.3  (    46 Students)
      Average score for grade 10 is:           59.9  (   444 Students)
      Average score for grade 9 is:            59.1  (   205 Students)
      Average score for grade 8 and below is:  87.2  (    13 Students)
      Average score with unknown grade:        59.3  (    20 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  4

        Number of schools returning results      25
        Average school winning score           91.26


                   American Mathematics Competitions
                   2008 AMC 12 B Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1109

      Number of unofficial participants:          0

      Average score of participants:           61.6

      Average score for female students  is:   57.2  (   440 Students)
      Average score for male students is:      65.0  (   578 Students)
      Average score for unspecified gender is  61.2  (    91 Students)
      Average score for grade 12 is:           62.7  (   488 Students)
      Average score for grade 11 is:           59.4  (   473 Students)
      Average score for grade 10 is:           65.7  (    72 Students)
      Average score for grade 9 is:            71.0  (    27 Students)
      Average score for grade 8 and below is:  72.0  (     2 Students)
      Average score with unknown grade:        60.4  (    47 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 35

        Number of schools returning results      35
        Average school winning score           92.66
        Average school team score             250.63
 


    2008 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    373.5         1                   1
    370.5         1                   2
    348.0         1                   3
    330.0         1                   4
    328.5         1         1         5
    327.0                   1         7
    325.5         1                   8
    319.5                   1         9
    316.5                   1        10
    312.0         1                  11
    310.5         1                  12
    309.0         1                  13
    307.5         2                  14
    306.0         1                  16
    304.5                   1        17
    303.0                   1        18
    298.5         2         1        19
    295.5         1         1        22
    294.0         2         1        24
    292.5         2                  27
    291.0         1                  29
    289.5         2                  30
    288.0         1         2        32
    286.5         1         1        35
    285.0         1                  37
    283.5         1                  38
    280.5         1                  39
    277.5         1                  40
    276.0                   1        41
    271.5         2                  42
    270.0         2         1        44
    267.0         1                  47
    265.5                   2        48
    264.0         2         1        50
    262.5         2                  53
    258.0         2         1        55
    255.0                   1        58
    253.5         2                  59
    252.0                   1        61
    250.5         1         1        62
    246.0         1         1        64
    244.5         3                  66
    243.0         1         1        69
    241.5         2                  71
    240.0         1                  73
    238.5         2                  74
    235.5         1                  76
    234.0         1                  77
    232.5                   1        78
    229.5         1         1        79
    228.0         2                  81
    225.0         1                  83
    223.5         1         1        84
    220.5         1                  86
    219.0         1                  87
    217.5                   1        88
    216.0                   1        89
    213.0         1                  90
    208.5         1                  91
    207.0         1         2        92
    196.5         1                  95
    195.0         1                  96
    184.5         1         1        97
    183.0                   1        99
    180.0         1                 100
    177.0         1                 101
    172.5         1                 102
    163.5                   1       103
    157.5         1         1       104
     76.5         1                 106
 


         2008 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    141.0         3
    139.5                                       1
    132.0         1                   1
    127.5         1                   1
    126.0                             1         1
    124.5                                       1
    123.0         1
    121.5         1
    120.0         1         1                   1
    118.5         2
    117.0                   1
    115.5         1
    114.0         3         2         1
    112.5         4         1
    111.0                             1
    109.5         4         2                   3
    108.0         6         2         2         1
    106.5         4         2                   4
    105.0         6         3         2         2
    103.5         9         3         3         3
    102.0         3         2                   3
    100.5        10         8         5         1
     99.0         9         4         4
     97.5         7         4         2         4
     96.0         7         6         2         4
     94.5        24         8         2         1
     93.0        12         9         1         2
     91.5         8         8         4         3
     90.0        15         8         8         2
     88.5        24        13         7         8
     87.0        25         4         9        10
     85.5        27         9        12         4
     84.0        26         8        11         4
     82.5        26        19        16         6
     81.0        43        13        12         7
     79.5        34        15         9         8
     78.0        39        12        17        11
     76.5        45        20        11        10
     75.0        49        20        15        16
     73.5        56        31        23        15
     72.0        58        30        19        17
     70.5        64        38        27        19
     69.0        54        31        39        16
     67.5        78        31        32        23
     66.0        58        45        47        24
     64.5        81        51        31        23
     63.0        80        56        37        15
     61.5        91        43        43        22
     60.0        86        44        67        29
     58.5       100        37        48        21
     57.0        95        42        49        27
     55.5        94        52        60        32
     54.0       103        51        74        29
     52.5        88        36        76        28
     51.0       109        29        75        23
     49.5        82        28        80        28
     48.0        98        33       105        25
     46.5        87        18        81        17
     45.0        73        19        78        17
     43.5        59        27        85        15
     42.0        82        19        98        19
     40.5        42        17        64        10
     39.0        50        16        75        10
     37.5        41        11        63        12
     36.0        41        16       101        12
     34.5        16         7        72        12
     33.0        12         8        42         5
     31.5        19         6        43         2
     30.0        26         5        61         5
     28.5         6         6        27
     27.0         6         2        22         1
     25.5         7         2        21
     24.0        11         4        24         3
     22.5         1         2         8
     21.0         2                   6         2
     19.5         1         2         6
     18.0         3         2         7         1
     16.5                   2         3
     15.0                             3         1
     13.5         2                   2
     12.0         2         3         4         1
     10.5                             1
      7.5                             1
      6.0                             2



                   American Mathematics Competitions
                   2008 AMC 10 A Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10      ?
    ----------------------------------------------------------------------------------------
    132.0      1                                                1
    127.5      1                                         1
    126.0      1                                                1
    114.0      1                                         1
    111.0             1                                         1
    108.0      1      1                    1             1
    105.0      2                                         2
    103.5      2                                         2      1
    100.5      3      1                                  1      4
     99.0      4                                         1      3
     97.5      1                                         1             1
     96.0      2                                  1      1
     94.5      2                                         1      1
     93.0      1                                                1
     91.5      3                                         1      3
     90.0      7      1                           1      2      4      1
     88.5      6      1                           1      1      5
     87.0      5      1                    1             4      4
     85.5      8      1                                  5      6      1
     84.0      7      3                                  1      9      1
     82.5     13      1                           1      8      7
     81.0      5      2                           1      3      6      2
     79.5      3      4                                  4      4      1
     78.0      6      9                                  4     13
     76.5      6      4                                  3      8
     75.0      7      6                                  2     12      1
     73.5     14      5                           1      7     13      2
     72.0     12      2                                  4     12      3
     70.5     13      6                                  7     18      2
     69.0     25      8                           1     13     21      4
     67.5     18     12                           1     10     19      2
     66.0     28     11                           2     15     27      3
     64.5     15      9                           1      8     19      3
     63.0     19     15                           2     10     23      2
     61.5     23     17                                  9     32      2
     60.0     33     27             1                   29     35      2
     58.5     19     16             1                   20     23      4
     57.0     24     14                           1     17     24      7
     55.5     27     28                    2            26     29      3
     54.0     34     27                           4     37     29      4
     52.5     38     29                           4     37     32      3
     51.0     28     32             1             3     24     38      9
     49.5     39     28                           3     31     44      2
     48.0     49     36                           6     48     43      8
     46.5     39     27                           2     33     38      8
     45.0     31     39                           2     36     35      5
     43.5     38     38                           1     42     36      6
     42.0     39     43                           2     33     56      7
     40.5     23     32                           1     28     31      4
     39.0     30     32             1      1      2     33     34      4
     37.5     25     30                           1     30     28      4
     36.0     39     44                           3     50     40      8
     34.5     24     34                           2     34     28      8
     33.0     17     12                           2     22     12      6
     31.5     19     18                           2     18     16      7
     30.0     21     25                           5     28     23      5
     28.5      8     13                           3     14      9      1
     27.0      6     12                           1     11      9      1
     25.5      7     12                           4      7      8      2
     24.0     16      6                           5      9     10
     22.5      3      4                           1      4      3
     21.0      3      3                                  5      1
     19.5      2      2                                  2      2      2
     18.0      1      4                           2      2      2      1
     16.5             2                           1      2
     15.0      2                                  1      1             1
     13.5      1      1                           1      1
     12.0      1      2                                  3      1
     10.5             1                           1
      7.5      1                                  1
      6.0      1      1                                  1      1



                   American Mathematics Competitions
                   2008 AMC 10 A Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    1.77      1.58      8.13     82.93*     5.02      0.57      0.00
      2   34.67*    21.66     28.41      1.48      0.81     12.96      0.00
      3   56.43*     4.97      4.73      1.77      4.64     27.40      0.05
      4    4.88      8.32     42.85*    12.67      6.41     24.82      0.05
      5    7.80     21.81*     5.21      4.07      4.50     56.62      0.00
      6    2.15      2.97      3.16     13.58*    52.32     25.82      0.00
      7   49.21      3.83      5.21      2.39      7.70*    31.66      0.00
      8   33.43*     9.18      4.30     21.04      3.63     28.41      0.00
      9    4.30     20.99*    16.45     23.86      7.60     26.73      0.05
     10    1.72     36.06      8.42      0.86     36.97*    15.97      0.00
     11    5.16      6.17      8.99     55.24*     9.61     14.83      0.00
     12   12.91      4.16     24.06*     9.18      4.50     45.15      0.05
     13   13.63     31.09      9.18     19.13*     3.25     23.72      0.00
     14    5.74      8.27      7.89     11.76*     4.73     61.55      0.05
     15    3.20      3.20     28.98     20.13*     7.27     37.21      0.00
     16    2.82      8.61*     4.78     16.07      8.66     59.06      0.00
     17    6.89      6.36*     5.93      4.97      3.97     71.83      0.05
     18    3.87      4.78*     5.50      4.97      3.68     77.19      0.00
     19    4.45      7.46      6.07*     4.40      4.69     72.88      0.05
     20    3.73      5.98     14.49      5.98*     2.34     67.43      0.05
     21   10.00*    14.40      6.17      5.83      3.44     60.16      0.00
     22    7.65      5.16     23.29     19.18*     8.46     36.25      0.00
     23   10.33      5.21*     6.46      5.07      2.58     70.35      0.00
     24    6.17      8.23      6.79      5.83*     8.99     63.94      0.05
     25    3.01      7.99      5.16*     5.36      4.69     73.79      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
                   2008 AMC 12 A Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10     11     12     13      ?
    ----------------------------------------------------------------------------------------
    141.0      3                                         1                    2
    132.0      1                                                              1
    127.5      1                                                1
    123.0      1                                  1
    121.5                                                       1
    120.0      1                                                       1
    118.5      1      1                                  1             1
    115.5      1                                         1
    114.0      3                                                1      1      1
    112.5      3      1                                         1      1      1             1
    109.5      2      1                                  1             1      2
    108.0      4      1                                                4      1             1
    106.5      4                                                       3      1
    105.0      4      1                                         1      1      4
    103.5      7      1                                                4      5
    102.0      3                                                1      1      1
    100.5      8      1                                         2      4      4
     99.0      6      2                                         1      2      5             1
     97.5      4      2                                         2      1      4
     96.0      6                                                       2      5
     94.5     15      4                                         1      6     15             2
     93.0      6      3                                  1      1      4      5             1
     91.5      6      1                                  1      1      1      4             1
     90.0     12      1                                  1      1      9      4
     88.5     14      6                           1             1      7     12             3
     87.0     19      4                                  2             9     13             1
     85.5     14      5                                         2     10     12             3
     84.0     14      8                                               14     12
     82.5     17      4                                  2      3      9     12
     81.0     24      9                                         3     21     17             2
     79.5     23     10                                               23     10             1
     78.0     22     13                                         3     20     15             1
     76.5     24     14                                         3     16     21             5
     75.0     29     14                                         3     17     28             1
     73.5     33     15                                  4      2     28     22
     72.0     38     15                                         6     25     26             1
     70.5     35     23                                  1      4     32     24             3
     69.0     29     20                                  1      4     23     24             2
     67.5     36     29                                         3     40     28             7
     66.0     35     14                                         4     26     22             6
     64.5     42     26                                  1      4     41     30             5
     63.0     41     29                                  3      5     34     35             3
     61.5     49     30                                         7     48     33             3
     60.0     48     29                                  3      2     38     39             4
     58.5     43     47                                  1      6     59     29             5
     57.0     45     29                                         5     55     29             6
     55.5     46     36                                  2     10     49     27             6
     54.0     49     32                                  1      9     43     39            11
     52.5     45     32                                  2      8     38     32             8
     51.0     44     47                                  1      6     49     43            10
     49.5     37     35                                  1      5     43     28             5
     48.0     33     51                                  2      8     54     29             5
     46.5     43     33                                  1      5     42     34      1      4
     45.0     22     36                                  1      1     40     21            10
     43.5     23     25                                  1      4     28     18      1      7
     42.0     40     27                                  1      5     44     24             8
     40.5     19     20                                         2     28     12
     39.0     20     24             1                    1      3     23     21             1
     37.5     12     24                                         3     25     10             3
     36.0     16     18                                         1     23     12             5
     34.5      6      7                                                9      5             2
     33.0      6      4                                                4      5             3
     31.5     11      8                                         2      8      9
     30.0     13     12                                         1     13     12
     28.5      2      3                                                3      3
     27.0      2      2                                                4      2
     25.5      1      4                                  1      1      2      3
     24.0      3      4                                                6      5
     22.5             1                                                1
     21.0      1      1                                                2
     19.5             1                                                       1
     18.0      1      1                                                       2             1
     13.5             1                                                1      1
     12.0      1                                                       2



                   American Mathematics Competitions
                   2008 AMC 12 A Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    1.18      0.31      6.09     88.29*     3.34      0.79      0.00
      2   85.69*     6.37      2.48      0.79      3.46      1.22      0.00
      3    5.11      5.19     61.40*     8.77      4.01     15.49      0.04
      4    6.80     37.58*     5.46      4.99      3.69     41.47      0.00
      5    1.77     34.71*    12.15     24.02      7.55     19.81      0.00
      6   47.17*     6.76      2.40     25.20      2.56     15.88      0.04
      7    5.31      3.26      5.15     66.08*     6.80     13.29      0.12
      8    5.23      6.45     51.97*     4.05     13.01     19.26      0.04
      9    4.72      8.69      6.01     26.45*     5.46     48.66      0.00
     10   10.89     29.21      9.00     30.39*     2.40     18.12      0.00
     11    5.31      5.58     56.49*     5.90      4.68     22.01      0.04
     12    9.79     19.06*     7.23      5.90      4.95     53.07      0.00
     13    3.89     16.16*     6.41     15.06      7.47     50.98      0.04
     14    8.45*     5.46      3.58      4.60      2.20     75.71      0.00
     15    7.39      8.06      8.37      6.68*     9.63     59.87      0.00
     16    3.11      5.82      5.27      6.53*     1.53     77.75      0.00
     17    1.85      3.26      4.68      5.78*     4.40     80.03      0.00
     18    2.40      3.07      5.70*     2.12      6.05     80.66      0.00
     19    2.08      6.09      5.90*     4.32      2.00     79.60      0.00
     20    1.93      3.07      3.22      2.56      3.38*    85.85      0.00
     21    5.15      3.69      4.95      5.74*     2.16     78.30      0.00
     22    2.99      6.21      5.82*     5.07      4.17     75.75      0.00
     23    2.36      2.83      2.71      2.87*     1.61     87.62      0.00
     24    3.22     12.38      7.23      3.07*     5.07     69.03      0.00
     25    2.32      3.30      4.17      4.56*     3.18     82.47      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
                   2008 AMC 10 B Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10      ?
    ----------------------------------------------------------------------------------------
    139.5      1                                  1
    126.0      1                                         1
    124.5      1                                                1
    120.0      1                                         1
    109.5      3                                  1      1      1
    108.0             1                                         1
    106.5      1      2                    1      1      1      1
    105.0      2                                         2
    103.5      2      1                                         3
    102.0      2                           1             1      1
    100.5      1                                         1
     97.5      4                                         1      3
     96.0      3      1                           1             3
     94.5      1                                                1
     93.0      1      1                                  1      1
     91.5      2      1                                         3
     90.0      1      1                                  1      1
     88.5      6      1             1                    1      6
     87.0      9      1                           1      1      8
     85.5      3      1                                  3      1
     84.0      2      2                                         4
     82.5      1      4                                  1      4      1
     81.0      6      1                                  2      5
     79.5      6      2                    1                    7
     78.0      7      3                                  2      9
     76.5      5      4                                  1      9
     75.0     10      5                                  3     12      1
     73.5     12      3                                  9      6
     72.0      6     10                                  5     11      1
     70.5      9      9                                  5     13      1
     69.0      8      8                    1             4     11
     67.5     16      6                                  7     15      1
     66.0      7     14                                 10     13      1
     64.5     14      8                                 12     10      1
     63.0      6      8                                  6      9
     61.5     14      7                    1             8     13
     60.0      6     16                                  9     17      3
     58.5     11      7                                  5     15      1
     57.0      9     15                                  6     20      1
     55.5     16     15                                 12     18      2
     54.0     17     10                                  5     24
     52.5     15     12                    1            12     15
     51.0     10     11                                  5     17      1
     49.5     11     16                                  5     22      1
     48.0      7     14                                  8     15      2
     46.5      8      9                                  2     15
     45.0      3     12                                  3     14
     43.5      5     10                                  5      9      1
     42.0      9      9                                  9      9      1
     40.5      2      8                                  3      7
     39.0      1      8                                  3      7
     37.5      5      7                                  6      6
     36.0      3      9                    1             4      7
     34.5      3      7                                  5      7
     33.0      2      3                                  2      3
     31.5             2                                         2
     30.0      1      4                                  1      4
     27.0      1                                                1
     24.0      2      1                                  1      2
     21.0      2                                         1      1
     18.0             1                                         1
     15.0             1                                  1
     12.0             1                                  1



                   American Mathematics Competitions
                   2008 AMC 10 B Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    3.37      0.44      2.64      9.68     79.62*     4.25      0.00
      2    6.30     76.39*     7.33      1.17      1.32      7.48      0.00
      3   19.21      3.37      5.43     22.73*     4.11     45.16      0.00
      4    9.38     17.16     59.24*     1.91      0.88     11.44      0.00
      5   31.09*     7.48      2.64      2.35      3.67     52.79      0.00
      6    4.69      3.08     35.48*     9.09      8.06     39.59      0.00
      7    4.11      7.48     65.40*     5.13      3.67     14.08      0.15
      8    1.76      7.18     56.01*    10.12      4.69     20.23      0.00
      9   11.29*     3.52      4.25      7.62      8.36     64.96      0.00
     10   12.17*     5.57      3.96      3.08      4.25     70.97      0.00
     11    1.61     10.70*     3.96      8.65      2.79     72.29      0.00
     12   69.65*     4.99      4.84      3.23      3.81     13.49      0.00
     13   19.94      7.92*     6.30      2.35      4.99     58.50      0.00
     14   10.85     21.70*     2.93      4.99      2.35     57.18      0.00
     15    7.62*     5.28      4.25      5.43      4.84     72.58      0.00
     16   25.07*    22.29      3.96      2.93      4.40     41.35      0.00
     17   15.40      9.97*    20.09     10.70      6.60     37.24      0.00
     18    4.11     13.64*    10.85      3.81      1.76     65.84      0.00
     19    1.76      2.35      4.99      7.48      4.55*    78.89      0.00
     20    9.38     37.98*     8.36      4.11      3.37     36.80      0.00
     21   10.41      9.09      4.40*     4.99      2.64     68.48      0.00
     22   14.37      5.13     20.23*     9.24      7.77     43.26      0.00
     23   10.70      6.16*     3.37      5.28      2.20     72.29      0.00
     24    6.16      8.36      9.38*     5.87      7.92     62.32      0.00
     25   17.45     11.58*     6.01      3.08      4.11     57.77      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
                   2008 AMC 12 B Results for Minnesota                  
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10     11     12     13      ?
    ----------------------------------------------------------------------------------------
    120.0      1                                                              1
    117.0      1                                                              1
    114.0      2                                                              2
    112.5      1                                                              1
    109.5      2                                         1                    1
    108.0      2                                         1                    1
    106.5      2                                         1             1
    105.0      2      1                                         1             2
    103.5      3                                                       2      1
    102.0      1      1                                                1      1
    100.5      7                                         1      2      3      2
     99.0      2      1                                  1             2      1
     97.5      4                                                       1      3
     96.0      4      2                                  1      1      1      3
     94.5      8                                                       3      5
     93.0      6      3                                                1      8
     91.5      5      1                                  1      1      1      4             1
     90.0      7                                                1      2      5
     88.5      7      5                                         3      1      8             1
     87.0      3      1                                                3      1
     85.5      6      2                                         2      2      4             1
     84.0      6      2                                                3      5
     82.5     11      6                                         1      9      8             1
     81.0     10      2                                                6      7
     79.5      9      5                           1                    8      5             1
     78.0      9      2                                         2      5      5
     76.5     12      7                                         2     10      8
     75.0     13      6                                  1      1      6     12
     73.5     21      9                                  1      1     13     15             1
     72.0     14     12                                  2      2     11     14             1
     70.5     27      8                                         5     14     17             2
     69.0     11     15                                         1     13     13             4
     67.5     17     12                                  1      2     12     14             2
     66.0     22     18                                         3     16     23             3
     64.5     24     19                           1      1      4     18     22             5
     63.0     33     17                                  2      5     29     17             3
     61.5     25     16                                  1      2     21     17             2
     60.0     21     20                                  2      2     22     18
     58.5     15     19                                  2      2     18     14             1
     57.0     23     16                                         3     18     19             2
     55.5     32     16                                  2      5     20     22             3
     54.0     19     30                                         4     26     20             1
     52.5     11     19                                  1      6     18     10             1
     51.0      9     18                                  2            13     13             1
     49.5     15     13                                         3     12     13
     48.0     16     15                                  1            14     17             1
     46.5      9      8                                                7     11
     45.0      7     11                                                9      9             1
     43.5     10     13                                  1      3     15      6             2
     42.0     10      6                                         1      7      9             2
     40.5      7      9                                               10      7
     39.0      3     13                                         1      7      8
     37.5      5      6                                                4      7
     36.0      6      8                                               10      5             1
     34.5      2      4                                                4      3
     33.0      4      3                                                3      4             1
     31.5      3      3                                                3      2             1
     30.0      3      2                                                2      3
     28.5      1      5                                                2      4
     27.0      1      1                                                2
     25.5      2                                                              2
     24.0      2      2                                                3      1
     22.5             2                                                1      1
     19.5             2                                                1      1
     18.0      1                                                       1                    1
     16.5      1      1                                                2
     12.0             2                                                1      2



                   American Mathematics Competitions
                   2008 AMC 12 B Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    2.80      0.27      1.89      9.29     82.69*     2.98      0.09
      2    5.59     79.26*     8.03      1.71      1.71      3.70      0.00
      3    6.67     11.81     72.59*     0.54      1.26      7.12      0.00
      4    2.43      3.61      4.87     65.55*     2.71     20.74      0.09
      5    2.98      6.04     62.94*     7.30      5.59     15.15      0.00
      6   78.99*     4.24      2.43      1.80      3.34      9.20      0.00
      7   51.49*     5.14      2.89      1.53      4.69     34.17      0.09
      8    3.07      3.61     47.52*    10.10      4.42     31.20      0.09
      9   22.09*     5.05      4.33      4.24      3.16     61.14      0.00
     10    5.86     25.88*    10.73      5.23      3.52     48.78      0.00
     11    6.31*     5.77      4.69      7.03     26.96     49.23      0.00
     12   19.12     18.03*     5.41      2.98      8.03     46.44      0.00
     13    2.07     10.46*     3.52      4.06      2.43     77.46      0.00
     14    4.69      4.60     17.76*     6.31      5.41     61.23      0.00
     15    2.52      3.79      6.67*     5.59      7.75     73.67      0.00
     16   14.25     10.82*     6.04      6.58      1.62     60.69      0.00
     17    3.52      2.98      4.96*     3.25      2.52     82.78      0.00
     18    2.80      3.88      4.15      6.67      4.06*    78.45      0.00
     19    3.52      4.15*     4.33      3.79      2.07     82.15      0.00
     20   21.28     13.71*     7.03      3.70      3.70     50.59      0.00
     21    2.98      3.07      4.33      3.52      1.53*    84.58      0.00
     22    6.13      4.78      6.67      4.78      3.97*    73.49      0.18
     23    1.71*     4.51      4.06      3.61      1.17     84.94      0.00
     24    2.25      2.07      1.89*     3.25      1.53     89.00      0.00
     25    2.16      3.16*     4.33      2.25      3.07     85.03      0.00


   (*)  Correct Response

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