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                   American Mathematics Competitions
                   2005 AMC 10 A Results for Kansas                     
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1247

      Number of unofficial participants:         11

      Average score of participants:           64.7

      Average score for female students  is:   62.4  (   568 Students)
      Average score for male students is:      67.1  (   617 Students)
      Average score for unspecified gender is  62.6  (    62 Students)
      Average score for grade 10 is:           67.6  (   640 Students)
      Average score for grade 9 is:            61.1  (   536 Students)
      Average score for grade 8 and below is:  67.4  (    51 Students)
      Average score with unknown grade:        62.3  (    20 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  6

        Number of schools returning results      52
        Average school winning score           94.10


                   American Mathematics Competitions
                   2005 AMC 12 A Results for Kansas                     
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1053

      Number of unofficial participants:         12

      Average score of participants:           73.4

      Average score for female students  is:   70.4  (   433 Students)
      Average score for male students is:      76.3  (   560 Students)
      Average score for unspecified gender is  67.8  (    60 Students)
      Average score for grade 12 is:           76.6  (   452 Students)
      Average score for grade 11 is:           71.0  (   515 Students)
      Average score for grade 10 is:           75.4  (    26 Students)
      Average score for grade 9 is:            76.2  (    25 Students)
      Average score for grade 8 and below is:  77.3  (     2 Students)
      Average score with unknown grade:        64.0  (    33 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 57

        Number of schools returning results      52
        Average school winning score           97.54
        Average school team score             274.84
 


                   American Mathematics Competitions
                   2005 AMC 10 B Results for Kansas                     
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    461

      Number of unofficial participants:          0

      Average score of participants:           69.1

      Average score for female students  is:   66.0  (   189 Students)
      Average score for male students is:      71.5  (   247 Students)
      Average score for unspecified gender is  69.6  (    25 Students)
      Average score for grade 10 is:           69.6  (   241 Students)
      Average score for grade 9 is:            68.1  (   201 Students)
      Average score for grade 8 and below is:  71.9  (    15 Students)
      Average score with unknown grade:        78.3  (     4 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  2

        Number of schools returning results      21
        Average school winning score           96.71


                   American Mathematics Competitions
                   2005 AMC 12 B Results for Kansas                     
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    614

      Number of unofficial participants:          0

      Average score of participants:           78.9

      Average score for female students  is:   76.8  (   243 Students)
      Average score for male students is:      80.9  (   348 Students)
      Average score for unspecified gender is  72.0  (    23 Students)
      Average score for grade 12 is:           80.9  (   223 Students)
      Average score for grade 11 is:           78.0  (   271 Students)
      Average score for grade 10 is:           77.4  (    90 Students)
      Average score for grade 9 is:            75.3  (    22 Students)
      Average score for grade 8 and below is:  82.6  (     4 Students)
      Average score with unknown grade:        81.8  (     4 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 38

        Number of schools returning results      34
        Average school winning score          100.07
        Average school team score             273.46
 
 


    2005 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    376.0                   1         1
    350.5         1                   2
    345.5         1                   3
    337.0                   1         4
    332.0         1                   5
    330.5         1                   6
    328.0         1                   7
    323.0                   1         8
    318.5         1         1         9
    317.5                   1        11
    314.0         1                  12
    313.0         2         1        13
    310.5         1                  16
    309.5                   1        17
    308.5                   1        18
    307.5         1                  19
    306.5                   1        20
    304.5         1                  21
    302.5                   1        22
    301.0         1                  23
    300.5                   1        24
    297.0                   1        25
    296.5         1                  26
    296.0                   1        27
    295.5                   1        28
    295.0         1                  29
    294.5         1                  30
    294.0         1                  31
    293.0                   1        32
    291.0         1                  33
    290.0         1         1        34
    286.0         1                  36
    285.0                   1        37
    284.0         2                  38
    283.5         1                  40
    282.5         1                  41
    281.0                   1        42
    280.0         1                  43
    279.5         1                  44
    279.0                   1        45
    278.5                   2        46
    277.5                   1        48
    275.5                   1        49
    274.0         1                  50
    273.5         1                  51
    270.5                   1        52
    269.0         1                  53
    268.0         1                  54
    264.5         2                  55
    264.0         1         1        57
    262.5         1                  59
    261.5                   1        60
    258.0         1                  61
    256.5         1                  62
    255.5         1                  63
    255.0         1                  64
    253.0         1                  65
    250.5                   2        66
    250.0         1                  68
    247.0         1                  69
    240.5         1                  70
    239.0                   1        71
    238.5         1                  72
    234.0         1                  73
    233.5         1                  74
    232.0         1                  75
    229.5                   1        76
    225.0         1                  77
    222.5         1                  78
    217.0         1                  79
    212.0         1                  80
    210.5                   1        81
    207.5         1                  82
    205.0         1                  83
    180.5                   1        84
    127.5                   1        85
     74.5                   1        86


         2005 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    150.0                             1
    146.5                             1
    138.0                             1
    133.5                             1
    132.5                                       1
    129.0         1         1
    127.5                   1
    124.0                   1
    123.0         1         1         1
    122.0                                       1
    121.5                   1
    120.5                             1
    119.5                             2
    118.5         1
    118.0         3
    117.0         1                   1
    116.0         1                   1         1
    115.5                   1
    114.5         1
    113.5         1         1         1
    112.5                   2
    112.0                   1         2
    111.5         1
    111.0         1                             1
    110.0         1         1         1
    109.0         2         2         1
    108.5                             1
    108.0         7         2         2
    107.5                             2
    106.5         1         2         2         1
    106.0                                       1
    105.5         3         1         1         1
    105.0         1                   2
    104.5         2         2
    104.0         3                   1         1
    103.0         5         4         4         1
    102.5                             2
    102.0         5         7         1
    101.5                             2         2
    101.0         9         7         2         1
    100.5         6                   1         1
    100.0                                       1
     99.5         8         7         2         1
     99.0                             1         1
     98.5         9         4         3         3
     98.0         1         2         2         4
     97.5         3         3         1
     97.0         7         2                   1
     96.5                             1
     96.0         9         8         3         6
     95.5         2         2                   2
     95.0        13        20         2         1
     94.5         8         4         4         1
     94.0         4         1         1         3
     93.5         5         7         4         3
     92.5        10        12         5         5
     92.0         3         2         5         4
     91.5         5        11         7         1
     91.0         4         6         5         3
     90.5         8         6         5
     90.0         7         9         6         4
     89.5                             2         2
     89.0        17        21         5         4
     88.5         3         2         2         4
     88.0        17         9         4
     87.5         7         6         4         4
     87.0         9         3         7         1
     86.5        14        10        10         3
     86.0                   3         2         3
     85.5        11        10         8         3
     85.0         3         5         1         3
     84.5         6        15         3         6
     84.0        13         7         6         6
     83.5         6         8         6         1
     83.0        17        20        10         6
     82.5         3         2         6         4
     82.0        17         5         9         7
     81.5         6         9         3         7
     81.0        21        11         4         2
     80.5        14         9         4         9
     80.0         6         6         2         3
     79.5        12        13         8         5
     79.0         4         2         9         1
     78.5        15        13         9         5
     78.0        10        15        12        10
     77.5        16         8        17         4
     77.0        21        14        16         2
     76.5        10         5         6         5
     76.0        10         9        16         6
     75.5         7         4         6         7
     75.0        20         9        12         5
     74.5         9        15        16         3
     74.0        16         7        14         5
     73.5        14         8        24         8
     73.0        12         4         6         1
     72.5        14         7        23         7
     72.0         8         6        12         4
     71.5        19         8        16         5
     71.0        15         6        18         9
     70.5        18         5        13         6
     70.0        15         6        17         3
     69.5         4         5         7         8
     69.0        18         8        22         6
     68.5        12         2        20         6
     68.0        12         4        14         4
     67.5        13         5        24         6
     67.0         4         5        14         2
     66.5        18         6        32         8
     66.0        14         6        13         5
     65.5        15         2        17         4
     65.0        16         1        21         8
     64.5        16         8        11         4
     64.0         4                  18         5
     63.5        15         3        12         4
     63.0        10         1        18         3
     62.5        16         5        17         6
     62.0        11         4        18         3
     61.5        11         1        21         2
     61.0         9         2        12         2
     60.5        15         3        19         5
     60.0        11         4        13         2
     59.5         9         3        13         4
     59.0        13         7        17         3
     58.5         7         2         5         2
     58.0         6         1        12         6
     57.5         5         6         9         4
     57.0        11         2        15         5
     56.5         7         4        16         3
     56.0         5         2         7         2
     55.5         7         4        10         3
     55.0        11                  12         1
     54.5         5         1        11         3
     54.0         5         6        13         7
     53.5         3         1         8         4
     53.0         3         1        13         4
     52.5         4         1         7         1
     52.0         6         3        15
     51.5         6         1         7         2
     51.0                            11
     50.5         3         2        10         2
     50.0         7         1         2         1
     49.5         6                   7         2
     49.0         2                  10         6
     48.5         1                   4         3
     48.0         5         2        26         5
     47.5         2                   3         2
     47.0         2         2         3         4
     46.5         3         1         3         1
     46.0         3                   4         2
     45.5         1                   3         2
     45.0                   1         5
     44.5         3                   7         4
     44.0         2                   6         1
     43.5         3                   8         1
     43.0         2                   2
     42.5         1                   6
     42.0         7         6        29         5
     41.5         1         2         2         2
     41.0                             1         1
     40.5         1                   4         1
     40.0                             3         1
     39.5                             2         1
     39.0                             2         1
     38.5         2                   5         2
     38.0                             1         1
     37.5         1                   3
     37.0                             1         1
     36.5         1                   1         1
     36.0         6         3        16         2
     35.5                             1         1
     35.0                             2
     34.5         3                   1         1
     34.0                   1         2
     33.5         1                             2
     33.0                             1
     32.5         2                   3         1
     32.0         1                   1         1
     31.5                                       2
     31.0                   1         1
     30.0         3         2        15         6
     29.5         1                   1         2
     29.0                             2
     28.5                             1         1
     28.0         1
     27.5                             1
     26.5                             1
     26.0                             1
     25.5                             1
     25.0                                       2
     24.0                            10
     18.0                   1         8         2
     17.0         1                   1
     14.5                             1         1
     12.0                             5         1
                                      1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0            1         125.0                      100.0
    149.5                      124.5                       99.5      1     1
    149.0                      124.0                       99.0      1
    148.5                      123.5                       98.5      3
    148.0                      123.0            1          98.0      1     1
    147.5                      122.5                       97.5            1
    147.0                      122.0                       97.0
    146.5      1               121.5                       96.5            1
    146.0                      121.0                       96.0      3
    145.5                      120.5      1                95.5
    145.0                      120.0                       95.0      2
    144.5                      119.5      1     1          94.5      2     2
    144.0                      119.0                       94.0      1
    143.5                      118.5                       93.5      2     2
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      4     1
    142.0                      117.0                       92.0      3     1
    141.5                      116.5                       91.5      6     1
    141.0                      116.0      1                91.0      4     1
    140.5                      115.5                       90.5      4     1
    140.0                      115.0                       90.0      5     1
    139.5                      114.5                       89.5      2
    139.0                      114.0                       89.0      3     1
    138.5                      113.5      1                88.5            2
    138.0      1               113.0                       88.0      2     2
    137.5                      112.5                       87.5      2     2
    137.0                      112.0      2                87.0      4     2
    136.5                      111.5                       86.5      5     3
    136.0                      111.0                       86.0      1     1
    135.5                      110.5                       85.5      4     4
    135.0                      110.0      1                85.0            1
    134.5                      109.5                       84.5      3
    134.0                      109.0      1                84.0      5     1
    133.5            1         108.5      1                83.5      5     1
    133.0                      108.0      1     1          83.0      6     4
    132.5                      107.5      1     1          82.5      3     2
    132.0                      107.0                       82.0      2     6
    131.5                      106.5      1                81.5      3
    131.0                      106.0                       81.0      1     3
    130.5                      105.5            1          80.5      2     2
    130.0                      105.0      2                80.0            2
    129.5                      104.5                       79.5      2     6
    129.0                      104.0      1                79.0      6     3
    128.5                      103.5                       78.5      3     4
    128.0                      103.0      3     1          78.0      6     5
    127.5                      102.5      2                77.5     10     7
    127.0                      102.0      1                77.0      7     8
    126.5                      101.5      2                76.5      4     2
    126.0                      101.0      1     1          76.0      3    12
    125.5                      100.5      1                75.5      2     4



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      6     6          50.0      1     1          25.0
     74.5      4    11          49.5      6     1          24.5
     74.0      7     7          49.0      6     3          24.0      7     2
     73.5     15     9          48.5      1     3          23.5
     73.0      3     3          48.0     10    12          23.0
     72.5     11    11          47.5      1     2          22.5
     72.0     10     2          47.0      1     2          22.0
     71.5     10     5          46.5      1     1          21.5
     71.0     10     8          46.0      3     1          21.0
     70.5      8     3          45.5      2     1          20.5
     70.0     10     6          45.0      3     2          20.0
     69.5      6     1          44.5      4     3          19.5
     69.0     11    10          44.0      2     4          19.0
     68.5      9    11          43.5      1     7          18.5
     68.0      9     4          43.0      1     1          18.0      3     5
     67.5     11    11          42.5      2     3          17.5
     67.0      8     6          42.0     11    17          17.0      1
     66.5     12    17          41.5            2          16.5
     66.0      9     3          41.0            1          16.0
     65.5      9     8          40.5      1     3          15.5
     65.0     10    10          40.0      2     1          15.0
     64.5      5     5          39.5            2          14.5      1
     64.0     11     6          39.0      1     1          14.0
     63.5      2    10          38.5      1     4          13.5
     63.0      7    11          38.0            1          13.0
     62.5      8     7          37.5      2     1          12.5
     62.0     10     7          37.0            1          12.0      1     3
     61.5     10     8          36.5            1          11.5
     61.0      6     6          36.0      8     7          11.0
     60.5      8    11          35.5            1          10.5
     60.0      7     6          35.0            1          10.0
     59.5      8     5          34.5      1                 9.5
     59.0      9     7          34.0            2           9.0
     58.5      1     4          33.5                        8.5
     58.0      5     7          33.0      1                 8.0
     57.5      6     3          32.5      1     1           7.5
     57.0      5    10          32.0            1           7.0
     56.5      9     6          31.5                        6.5
     56.0      3     4          31.0                        6.0
     55.5      4     4          30.5                        5.5
     55.0      6     5          30.0      6     9           5.0
     54.5      5     6          29.5      1                 4.5
     54.0      7     6          29.0            2           4.0
     53.5      3     5          28.5            1           3.5
     53.0      3     8          28.0                        3.0
     52.5      5     2          27.5            1           2.5
     52.0      2    11          27.0                        2.0
     51.5      4     3          26.5            1           1.5
     51.0      5     6          26.0            1           1.0
     50.5      5     3          25.5            1            .5
                                                            0.0      1     0



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Kansas                     
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   150.0                                  1
   146.5                    1
   138.0                                  1
   133.5                                  1
   123.0                           1
   120.5                           1
   119.5                                  2
   117.0                                  1
   116.0                                  1
   113.5                                  1
   112.0                           2
   110.0                                  1
   109.0                                  1
   108.5                           1
   108.0                           1      1
   107.5                           2
   106.5                           1      1
   105.5                                  1
   105.0                           1      1
   104.0                                  1
   103.0                           2      2
   102.5                                  2
   102.0                                  1
   101.5                    1      1
   101.0                           1      1
   100.5                    1
    99.5                    1      1
    99.0                                  1
    98.5                           2      1
    98.0                                  2
    97.5                                  1
    96.5                                  1
    96.0                                  3
    95.0                                  2
    94.5                           1      3
    94.0                                  1
    93.5                           1      3
    92.5                           2      3
    92.0                    1      1      2      1
    91.5                    1      1      5
    91.0                           1      4
    90.5                    1      2      2
    90.0                    1      1      4
    89.5                                  2
    89.0                    1      1      3
    88.5                           1      1
    88.0                           1      3
    87.5                    1      1      2
    87.0                           2      5
    86.5                    1      2      7
    86.0                           1      1
    85.5                           1      7
    85.0                                  1
    84.5                           3
    84.0                    1             5
    83.5                           3      3
    83.0                           3      7
    82.5                           2      4
    82.0                           2      7
    81.5             1             1      1
    81.0                           2      2
    80.5                           1      3
    80.0                                  2
    79.5                    1      2      4      1
    79.0                    1      2      6
    78.5             1             2      5      1
    78.0                           3      9
    77.5                           6     10      1
    77.0                           7      9
    76.5                           2      4
    76.0                    1      9      6
    75.5                           2      4
    75.0                           2     10
    74.5                    1      7      8
    74.0                           5      9
    73.5                          11     13
    73.0                           4      2
    72.5                    2      9     11      1
    72.0                           7      5
    71.5                    1      9      5      1
    71.0                           7     11
    70.5             1      1      5      6
    70.0                           9      8
    69.5                           2      5
    69.0                           7     14      1
    68.5                           8     11      1
    68.0                           4     10
    67.5                    1     11     12
    67.0             1             5      8
    66.5                    1     15     15      1
    66.0                           6      7
    65.5                          11      5      1
    65.0                           7     14
    64.5                    1      3      7
    64.0                           8     10
    63.5                           5      7
    63.0                           9      9
    62.5                           8      8      1
    62.0                    1      8      9
    61.5                    1      9     10      1
    61.0                           6      6
    60.5      1                   11      7
    60.0             1             5      7
    59.5                    1      4      8
    59.0                    1      7      9
    58.5                    1      1      3
    58.0      1                    6      5
    57.5                           5      4
    57.0             1      1      4      8      1
    56.5             1      1      9      5
    56.0                           2      5
    55.5                           1      9
    55.0                           8      4
    54.5                           5      6
    54.0             1      1      7      4
    53.5             1             2      5
    53.0                           5      8
    52.5                           4      3
    52.0                           8      6      1
    51.5                           4      3
    51.0                           4      6      1
    50.5                           3      6      1
    50.0                    1      1
    49.5                    1      4      2
    49.0                           5      5
    48.5                           2      2
    48.0      1             1     11     12      1
    47.5                           3
    47.0                           1      2
    46.5                           2             1
    46.0                           4
    45.5                           2      1
    45.0                           1      4
    44.5                           5      2
    44.0                           2      4
    43.5                           3      5
    43.0                                  2
    42.5                           4      2
    42.0                          20      8      1
    41.5                           1      1
    41.0                           1
    40.5                           1      3
    40.0                           3
    39.5                           1      1
    39.0                           1      1
    38.5                    1      3      1
    38.0                           1
    37.5                           2      1
    37.0                                  1
    36.5                                  1
    36.0                    1     12      3
    35.5                           1
    35.0                           1             1
    34.5                                  1
    34.0                           1      1
    33.0                           1
    32.5                           2      1
    32.0                           1
    31.0                                  1
    30.0                          12      3
    29.5                           1
    29.0                           1      1
    28.5                                  1
    27.5                                  1
    26.5                           1
    26.0                           1
    25.5                                  1
    24.0             1      1      7      1
    18.0                           6      2
    17.0                           1
    14.5                                  1
    12.0                           2      3
                     1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Kansas                     
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.52      0.31      0.46      7.80*     0.55      0.35      0.01
      2    0.14      0.18      3.81*     0.15      2.22      3.50      0.00
      3    0.04      8.22*     0.59      0.55      0.23      0.38      0.00
      4    0.47      1.00*     2.61      0.87      0.56      4.49      0.00
      5    4.92*     0.52      4.09      0.15      0.10      0.21      0.00
      6    0.44      3.66*     4.15      0.22      0.10      1.41      0.01
      7    1.11      2.88*     0.51      0.72      0.91      3.86      0.01
      8    1.57      0.45      2.60*     0.32      0.25      4.80      0.01
      9    1.48      5.00*     1.22      0.22      0.39      1.70      0.00
     10    0.79*     0.70      1.30      0.47      0.20      6.54      0.00
     11    0.76      2.04*     0.33      1.01      0.10      5.76      0.00
     12    0.55      0.79*     0.63      0.28      0.61      7.14      0.01
     13    1.40      0.83      0.50      0.49      0.70*     6.07      0.01
     14    0.76      0.58      0.53      0.67      1.64*     5.82      0.00
     15    0.55      0.88      0.73      0.80      0.86*     6.18      0.00
     16    1.19      0.50      0.71      1.28*     0.28      6.05      0.00
     17    0.43      0.61      0.67      1.69*     0.51      6.09      0.00
     18    1.68*     1.64      1.40      2.96      0.54      1.79      0.00
     19    0.59      1.02      0.86      2.57*     0.81      4.16      0.00
     20    0.39*     0.50      0.76      0.57      0.37      7.41      0.00
     21    1.91      0.70*     0.32      0.41      0.59      6.08      0.00
     22    0.83      0.70      0.40      1.59*     0.59      5.90      0.00
     23    0.26      0.59      1.39*     1.07      0.80      5.90      0.00
     24    1.05      0.98*     0.48      0.36      0.16      6.96      0.01
     25    0.39      0.79      1.13      0.98*     0.19      6.51      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
                   2005 AMC 12 A Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0
    149.5                      124.5                       99.5      7     1
    149.0                      124.0                       99.0
    148.5                      123.5                       98.5      7     1
    148.0                      123.0            1          98.0      1
    147.5                      122.5                       97.5      1     2
    147.0                      122.0                       97.0      5     2
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      7     2
    145.5                      120.5                       95.5      2
    145.0                      120.0                       95.0     11     1
    144.5                      119.5                       94.5      5     3
    144.0                      119.0                       94.0      2     2
    143.5                      118.5      1                93.5      4     1
    143.0                      118.0      3                93.0
    142.5                      117.5                       92.5      8     2
    142.0                      117.0      1                92.0      3
    141.5                      116.5                       91.5      4
    141.0                      116.0            1          91.0      2     1
    140.5                      115.5                       90.5      8
    140.0                      115.0                       90.0      5     2
    139.5                      114.5      1                89.5
    139.0                      114.0                       89.0     11     5
    138.5                      113.5      1                88.5      2     1
    138.0                      113.0                       88.0      9     8
    137.5                      112.5                       87.5      6     1
    137.0                      112.0                       87.0      3     6
    136.5                      111.5      1                86.5      7     6
    136.0                      111.0      1                86.0
    135.5                      110.5                       85.5      5     6
    135.0                      110.0      1                85.0      2
    134.5                      109.5                       84.5      4     1
    134.0                      109.0      2                84.0      8     5
    133.5                      108.5                       83.5      2     4
    133.0                      108.0      4     3          83.0     11     6
    132.5                      107.5                       82.5      2     1
    132.0                      107.0                       82.0      7    10
    131.5                      106.5      1                81.5      3     3
    131.0                      106.0                       81.0     12     9
    130.5                      105.5      1     2          80.5     10     4
    130.0                      105.0      1                80.0      1     5
    129.5                      104.5      1     1          79.5      6     6
    129.0      1               104.0      3                79.0      3     1
    128.5                      103.5                       78.5     11     4
    128.0                      103.0      4     1          78.0      7     2
    127.5                      102.5                       77.5      6     7
    127.0                      102.0      5                77.0     11     9
    126.5                      101.5                       76.5      3     7
    126.0                      101.0      6     3          76.0      7     3
    125.5                      100.5      5                75.5      5     2



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      7    11          50.0      2     3          25.0
     74.5      3     5          49.5      1     4          24.5
     74.0      4    10          49.0      1     1          24.0
     73.5      9     5          48.5            1          23.5
     73.0      7     5          48.0      1     3          23.0
     72.5      4     9          47.5      1     1          22.5
     72.0      4     2          47.0      1     1          22.0
     71.5      9     7          46.5            3          21.5
     71.0      7     5          46.0      1     2          21.0
     70.5      8    10          45.5      1                20.5
     70.0     11     4          45.0                       20.0
     69.5      2     2          44.5            3          19.5
     69.0     11     7          44.0      1     1          19.0
     68.5      4     6          43.5            1          18.5
     68.0      5     6          43.0            2          18.0
     67.5      5     7          42.5      1                17.5
     67.0      1     3          42.0      2     4          17.0      1
     66.5      6    10          41.5      1                16.5
     66.0      7     7          41.0                       16.0
     65.5      8     6          40.5      1                15.5
     65.0     12     4          40.0                       15.0
     64.5      7     8          39.5                       14.5
     64.0      3     1          39.0                       14.0
     63.5      9     5          38.5      1     1          13.5
     63.0      5     5          38.0                       13.0
     62.5      9     3          37.5      1                12.5
     62.0      4     6          37.0                       12.0
     61.5      3     8          36.5      1                11.5
     61.0      3     6          36.0      3     3          11.0
     60.5     10     4          35.5                       10.5
     60.0      5     6          35.0                       10.0
     59.5      6     3          34.5      1     2           9.5
     59.0      9     4          34.0                        9.0
     58.5      3     4          33.5            1           8.5
     58.0      3     2          33.0                        8.0
     57.5            4          32.5      1     1           7.5
     57.0      3     6          32.0            1           7.0
     56.5      3     4          31.5                        6.5
     56.0      1     4          31.0                        6.0
     55.5      5     2          30.5                        5.5
     55.0      4     6          30.0      3                 5.0
     54.5      2     3          29.5      1                 4.5
     54.0      3     2          29.0                        4.0
     53.5            2          28.5                        3.5
     53.0      1     2          28.0      1                 3.0
     52.5            3          27.5                        2.5
     52.0      1     4          27.0                        2.0
     51.5      3     1          26.5                        1.5
     51.0                       26.0                        1.0
     50.5      2     1          25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Kansas                     
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   129.0                                                1
   123.0                                                1
   118.5                                                1
   118.0                                         2      1
   117.0                                                1
   116.0                                                1
   114.5                                                1
   113.5                                         1
   111.5                                                1
   111.0                                                1
   110.0                                                1
   109.0                                                2
   108.0                                         2      5
   106.5                                                1
   105.5                                         1      2
   105.0                                                1
   104.5                           1                    1
   104.0                                         2      1
   103.0                                         2      3
   102.0                                         2      3
   101.0                                  1      1      7
   100.5                                  1      3      1             1
    99.5                                         5      3
    98.5                                         5      4
    98.0                                                1
    97.5                                         2      1
    97.0                                         4      3
    96.0                                         6      3
    95.5                                         1      1
    95.0                                  1      3      9
    94.5                                         3      5
    94.0                                         2      2
    93.5                                         2      3
    92.5                                  1      4      5
    92.0                                         1      2
    91.5                           1             2      2
    91.0                                         2      2
    90.5                           1             4      3
    90.0                                         3      4
    89.0                                         5     12
    88.5                                  1             2
    88.0                           2      2      6      7
    87.5                                         3      4
    87.0                           1             5      3
    86.5                                         6      8
    85.5                                         7      4
    85.0                                                3
    84.5                                         2      4
    84.0                                         1     12
    83.5                           2             1      3
    83.0                           3      1      7      6
    82.5                                         1      2
    82.0                                  1     10      6
    81.5                                         5      1
    81.0                                  1     10     10
    80.5                                         7      7
    80.0                                         2      4
    79.5                                  1      5      6
    79.0                                         1      3
    78.5                           2             5      8
    78.0                                         8      2
    77.5             1                    2      4      7             2
    77.0                    1             1     13      5             1
    76.5                           2             4      4
    76.0                                  1      7      2
    75.5                                         3      4
    75.0                                  1     11      7             1
    74.5                                  1      4      4
    74.0                                         7      9
    73.5                                         8      6
    73.0                                         7      5
    72.5                                         7      7
    72.0                                         3      5
    71.5                                         7     10             2
    71.0                           1             5      7             2
    70.5                           1             8      9
    70.0                                  1      9      5
    69.5                                         1      3
    69.0                           1             7     10
    68.5                                         7      4             1
    68.0                                         6      5             1
    67.5                                         8      4             1
    67.0                                         1      2             1
    66.5                           1      1      6      9             1
    66.0                           1             9      4
    65.5                                        12      2             1
    65.0                           1             8      7
    64.5                                         9      6             1
    64.0                                         4
    63.5                                        11      4
    63.0                                         2      8
    62.5                                  1      7      4             4
    62.0                                  1      6      2             2
    61.5                                         4      7
    61.0                                  1      5      2             1
    60.5                           1             6      7             1
    60.0                                         5      6
    59.5                                         4      5
    59.0                           1      1      6      5
    58.5                                         5      2
    58.0                                         5                    1
    57.5                                         2      3
    57.0                                         9      1             1
    56.5                                  1      5      1
    56.0                                         4      1
    55.5                                         3      4
    55.0                                        11
    54.5                                         4      1
    54.0                           1             3      1
    53.5                                         2                    1
    53.0                                         2      1
    52.5                                         3      1
    52.0                                         4      1             1
    51.5                                         5                    1
    50.5                                         2      1
    50.0                                         6                    1
    49.5                                         3      3
    49.0                                         2
    48.5                                         1
    48.0                           1             2      1             1
    47.5                                         2
    47.0                                         1      1
    46.5                                         1      2
    46.0                                                3
    45.5                                  1
    44.5                                         3
    44.0                                         1      1
    43.5                                         2                    1
    43.0                                         2
    42.5                                         1
    42.0                                  1      4      1             1
    41.5                                         1
    40.5                                         1
    38.5                                         1      1
    37.5                                         1
    36.5                                         1
    36.0                                         2      4
    34.5                                         2      1
    33.5                                                1
    32.5                                         1      1
    32.0                                         1
    30.0                                                3
    29.5                                                1
    28.0                                                1
    17.0                                         1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Kansas                     
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.09      0.10      0.23      8.96*     0.17      0.46      0.00
      2    0.06      9.06*     0.26      0.36      0.06      0.21      0.00
      3    0.41      2.83*     1.27      0.46      0.40      4.63      0.00
      4    6.14*     0.36      3.18      0.07      0.05      0.20      0.00
      5    0.34      5.64*     2.55      0.12      0.09      1.25      0.00
      6    0.61      4.28*     0.28      0.39      0.86      3.56      0.01
      7    0.67      0.22      5.59*     0.11      0.12      3.28      0.00
      8    0.33      0.43      0.31      1.54*     0.21      7.18      0.00
      9    2.15*     0.38      0.91      0.34      0.10      6.12      0.00
     10    0.39      2.56*     0.14      0.57      0.15      6.18      0.00
     11    0.74      0.37      0.34      0.42      2.68*     5.45      0.00
     12    1.04      0.33      0.15      2.38*     1.10      5.00      0.00
     13    0.18      0.22      0.45      2.30*     0.28      6.57      0.00
     14    0.39      0.47      3.43      0.75*     0.63      4.33      0.01
     15    0.24      0.29      1.40*     0.85      0.80      6.43      0.00
     16    0.23      0.22      0.66      0.53*     0.43      7.93      0.00
     17    1.42*     0.97      1.33      0.27      0.38      5.63      0.00
     18    0.34*     0.34      0.30      0.22      0.28      8.51      0.00
     19    0.85      1.87*     0.95      0.51      1.06      4.76      0.00
     20    0.31      0.13      0.15      0.08      0.14*     9.18      0.00
     21    0.52      0.34      0.25*     0.21      0.09      8.58      0.00
     22    0.41      0.37*     0.26      0.38      0.22      8.37      0.00
     23    0.37      0.25*     0.25      0.25      0.48      8.40      0.00
     24    0.09      0.13*     0.14      0.15      0.04      9.44      0.00
     25    0.28      0.28      0.21*     0.24      0.07      8.92      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
                   2005 AMC 10 B Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0      1
    149.5                      124.5                       99.5      1
    149.0                      124.0                       99.0            1
    148.5                      123.5                       98.5      2     1
    148.0                      123.0                       98.0      4
    147.5                      122.5                       97.5
    147.0                      122.0      1                97.0      1
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      4     2
    145.5                      120.5                       95.5      2
    145.0                      120.0                       95.0            1
    144.5                      119.5                       94.5      1
    144.0                      119.0                       94.0      2     1
    143.5                      118.5                       93.5      1     1
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      5
    142.0                      117.0                       92.0      1     3
    141.5                      116.5                       91.5      1
    141.0                      116.0      1                91.0      2     1
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0      3
    139.5                      114.5                       89.5      1     1
    139.0                      114.0                       89.0            4
    138.5                      113.5                       88.5      2     2
    138.0                      113.0                       88.0
    137.5                      112.5                       87.5      1     3
    137.0                      112.0                       87.0      1
    136.5                      111.5                       86.5      1     1
    136.0                      111.0      1                86.0      2
    135.5                      110.5                       85.5      1     2
    135.0                      110.0                       85.0      3
    134.5                      109.5                       84.5      1     5
    134.0                      109.0                       84.0      2     2
    133.5                      108.5                       83.5            1
    133.0                      108.0                       83.0      6
    132.5      1               107.5                       82.5      1     3
    132.0                      107.0                       82.0      4     1
    131.5                      106.5      1                81.5      4     3
    131.0                      106.0      1                81.0            1
    130.5                      105.5            1          80.5      4     5
    130.0                      105.0                       80.0      2     1
    129.5                      104.5                       79.5      4     1
    129.0                      104.0      1                79.0      1
    128.5                      103.5                       78.5      3     1
    128.0                      103.0                       78.0      8     2
    127.5                      102.5                       77.5      3
    127.0                      102.0                       77.0            2
    126.5                      101.5      1                76.5      4     1
    126.0                      101.0      1                76.0      3     2
    125.5                      100.5      1                75.5      3     4



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      4     1          50.0            1          25.0      1
     74.5      3                49.5            2          24.5
     74.0      2     3          49.0      3     3          24.0
     73.5      2     6          48.5            3          23.5
     73.0                       48.0      4     1          23.0
     72.5      5     1          47.5      1     1          22.5
     72.0      3     1          47.0      1     3          22.0
     71.5      3     2          46.5            1          21.5
     71.0      7     2          46.0      1     1          21.0
     70.5      4     2          45.5            2          20.5
     70.0      2     1          45.0                       20.0
     69.5      3     5          44.5      1     3          19.5
     69.0      4     2          44.0            1          19.0
     68.5      4     2          43.5            1          18.5
     68.0      2     2          43.0                       18.0      1     1
     67.5      3     3          42.5                       17.5
     67.0      1     1          42.0      4     1          17.0
     66.5      5     2          41.5            2          16.5
     66.0      2     3          41.0      1                16.0
     65.5      2     2          40.5      1                15.5
     65.0      4     4          40.0            1          15.0
     64.5      1     3          39.5      1                14.5            1
     64.0      5                39.0      1                14.0
     63.5      1     3          38.5      2                13.5
     63.0      2     1          38.0            1          13.0
     62.5      3     2          37.5                       12.5
     62.0      3                37.0            1          12.0      1
     61.5      1     1          36.5      1                11.5
     61.0      2                36.0      1     1          11.0
     60.5      3     2          35.5      1                10.5
     60.0            2          35.0                       10.0
     59.5      2     2          34.5            1           9.5
     59.0            3          34.0                        9.0
     58.5            2          33.5      2                 8.5
     58.0      1     4          33.0                        8.0
     57.5      3     1          32.5                        7.5
     57.0      3     2          32.0            1           7.0
     56.5            3          31.5            1           6.5
     56.0      1     1          31.0                        6.0
     55.5      2     1          30.5                        5.5
     55.0            1          30.0      4     1           5.0
     54.5            2          29.5            2           4.5
     54.0      3     4          29.0                        4.0
     53.5      4                28.5                        3.5
     53.0      1     3          28.0                        3.0
     52.5            1          27.5                        2.5
     52.0                       27.0                        2.0
     51.5            2          26.5                        1.5
     51.0                       26.0                        1.0
     50.5      2                25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Kansas                     
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   132.5                                  1
   122.0                                  1
   116.0                                  1
   111.0                                  1
   106.5                                  1
   106.0                                  1
   105.5                           1
   104.0                                  1
   103.0                                         1
   101.5                           1      1
   101.0                           1
   100.5                                  1
   100.0                                  1
    99.5                                  1
    99.0                                  1
    98.5                           2      1
    98.0      1             1             2
    97.0                                  1
    96.0                           4      2
    95.5                           1      1
    95.0                           1
    94.5                                  1
    94.0                                  3
    93.5                                  3
    92.5                           1      4
    92.0                           1      3
    91.5             1
    91.0                           1      2
    90.0                           1      2      1
    89.5                           1      1
    89.0                           3      1
    88.5                           1      3
    87.5             1             2      1
    87.0                                  1
    86.5                                  3
    86.0                           1      2
    85.5                    1      1      1
    85.0                           1      2
    84.5                           3      3
    84.0                           3      2      1
    83.5             1
    83.0                           4      2
    82.5                           3      1
    82.0                           4      3
    81.5                           6      1
    81.0                           2
    80.5                           4      5
    80.0                                  3
    79.5                           1      4
    79.0                           1
    78.5                           1      4
    78.0             1             6      3
    77.5                           4
    77.0                           1      1
    76.5                           1      4
    76.0                           3      3
    75.5                           2      5
    75.0      1                    3      1
    74.5                           2      1
    74.0                           1      4
    73.5                           3      5
    73.0                           1
    72.5                           4      3
    72.0                           4
    71.5                           2      3
    71.0                           4      5
    70.5                           2      4
    70.0                           2      1
    69.5                           4      4
    69.0                           3      3
    68.5                           2      4
    68.0                           2      2
    67.5                           1      5
    67.0                                  2
    66.5                           5      3
    66.0                           3      2
    65.5                           2      2
    65.0                           2      6
    64.5                           2      2
    64.0             1             3      1
    63.5                                  4
    63.0                    1      1      1
    62.5                           3      3
    62.0                           2      1
    61.5                                  2
    61.0                           1      1
    60.5                           4      1
    60.0                    1             1
    59.5             1             3
    59.0                           1      2
    58.5                           1      1
    58.0                           3      3
    57.5                           4
    57.0                           2      3
    56.5                           1      2
    56.0                                  2
    55.5                           3
    55.0                           1
    54.5             1             1      1
    54.0                           2      5
    53.5                           2      2
    53.0                           2      2
    52.5                                  1
    51.5                           1      1
    50.5                           1      1
    50.0                           1
    49.5                           2
    49.0                           2      4
    48.5                           3
    48.0                           2      3
    47.5                    1      1
    47.0                           2      2
    46.5                                  1
    46.0                           1      1
    45.5                                  2
    44.5                           1      3
    44.0                                  1
    43.5                                  1
    42.0                           1      4
    41.5                           1      1
    41.0                                  1
    40.5                           1
    40.0                                  1
    39.5                           1
    39.0                                  1
    38.5                                  2
    38.0                                  1
    37.0                           1
    36.5                                  1
    36.0                           1             1
    35.5                                  1
    34.5                           1
    33.5                                  2
    32.5      1
    32.0                                  1
    31.5                           1      1
    30.0                           3      3
    29.5                           1      1
    28.5                           1
    25.0                           1      1
    18.0                           1      1
    14.5                                  1
    12.0                           1



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Kansas                     
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    7.40*     0.50      0.61      0.39      0.95      0.15      0.00
      2    0.24      0.52      0.28      7.18*     0.35      1.43      0.00
      3    0.09      0.89      3.15      4.27*     0.95      0.65      0.00
      4    0.78      0.17      0.78      2.47*     0.24      5.55      0.00
      5    0.22      0.11      7.66*     0.37      1.11      0.54      0.00
      6    0.28      7.57*     0.46      0.50      0.50      0.69      0.00
      7    0.98      0.80*     0.67      1.00      0.56      5.99      0.00
      8    4.51*     0.28      1.28      0.00      0.22      3.71      0.00
      9    0.67      0.67      2.71      4.16*     0.65      1.13      0.00
     10    0.95*     0.89      0.52      0.46      0.52      6.66      0.00
     11    0.22      0.50      0.35      1.24      1.32*     6.38      0.00
     12    0.95      1.65      0.50      0.24      0.13*     6.53      0.00
     13    0.74      0.72      1.39*     1.56      0.56      5.03      0.00
     14    0.54      0.30      1.26*     2.54      0.52      4.84      0.00
     15    1.67      0.80      0.85      3.64*     1.08      1.95      0.00
     16    0.48      0.67      0.72      0.37*     0.07      7.70      0.00
     17    0.76      1.93*     1.15      0.43      0.35      5.38      0.00
     18    0.39      4.69      1.50      1.58*     0.80      1.04      0.00
     19    0.91      5.14*     0.48      0.56      0.48      2.43      0.00
     20    0.85      0.28      1.00*     0.52      0.33      7.03      0.00
     21    0.37*     0.30      0.15      0.28      0.26      8.63      0.00
     22    0.87      1.02      0.30*     0.26      0.37      7.18      0.00
     23    2.67      0.41      0.48*     0.48      0.20      5.77      0.00
     24    0.46      0.37      0.37      0.33      0.78*     7.70      0.00
     25    0.41      0.48      2.69*     0.33      0.22      5.88      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
                   2005 AMC 12 B Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0
    149.5                      124.5                       99.5      4     3
    149.0                      124.0            1          99.0
    148.5                      123.5                       98.5      3     1
    148.0                      123.0      1                98.0      2
    147.5                      122.5                       97.5            3
    147.0                      122.0                       97.0            2
    146.5                      121.5      1                96.5
    146.0                      121.0                       96.0      6     2
    145.5                      120.5                       95.5            2
    145.0                      120.0                       95.0      7    12
    144.5                      119.5                       94.5      4
    144.0                      119.0                       94.0            1
    143.5                      118.5                       93.5      5     2
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      7     5
    142.0                      117.0                       92.0      2
    141.5                      116.5                       91.5      6     5
    141.0                      116.0                       91.0      6
    140.5                      115.5      1                90.5      3     2
    140.0                      115.0                       90.0      7     1
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0     13     6
    138.5                      113.5      1                88.5      2
    138.0                      113.0                       88.0      7     2
    137.5                      112.5      2                87.5      2     4
    137.0                      112.0      1                87.0      2     1
    136.5                      111.5                       86.5      8     2
    136.0                      111.0                       86.0      3
    135.5                      110.5                       85.5      4     5
    135.0                      110.0            1          85.0      4
    134.5                      109.5                       84.5      5     9
    134.0                      109.0      1     1          84.0      5     2
    133.5                      108.5                       83.5      6     2
    133.0                      108.0      2                83.0     10    10
    132.5                      107.5                       82.5            2
    132.0                      107.0                       82.0      4     1
    131.5                      106.5      2                81.5      5     4
    131.0                      106.0                       81.0      8     3
    130.5                      105.5      1                80.5      8
    130.0                      105.0                       80.0      2     4
    129.5                      104.5            2          79.5      7     6
    129.0      1               104.0                       79.0            1
    128.5                      103.5                       78.5      8     5
    128.0                      103.0      3     1          78.0     10     4
    127.5      1               102.5                       77.5      4     3
    127.0                      102.0      7                77.0      8     6
    126.5                      101.5                       76.5      3     2
    126.0                      101.0      5     2          76.0      6     3
    125.5                      100.5                       75.5      2     2



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Kansas                     
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      6     3          50.0      1                25.0
     74.5      7     8          49.5                       24.5
     74.0      2     4          49.0                       24.0
     73.5      4     4          48.5                       23.5
     73.0      2     2          48.0      2                23.0
     72.5      5     2          47.5                       22.5
     72.0      3     1          47.0      1     1          22.0
     71.5      5     3          46.5      1                21.5
     71.0      4     2          46.0                       21.0
     70.5      1     4          45.5                       20.5
     70.0      5     1          45.0            1          20.0
     69.5      3     2          44.5                       19.5
     69.0      4     4          44.0                       19.0
     68.5      1     1          43.5                       18.5
     68.0      3     1          43.0                       18.0            1
     67.5      2     3          42.5                       17.5
     67.0      1     3          42.0      2     2          17.0
     66.5      3     3          41.5      1     1          16.5
     66.0      4     2          41.0                       16.0
     65.5            2          40.5                       15.5
     65.0      1                40.0                       15.0
     64.5      3     4          39.5                       14.5
     64.0                       39.0                       14.0
     63.5      1     2          38.5                       13.5
     63.0      1                38.0                       13.0
     62.5      1     3          37.5                       12.5
     62.0      2     2          37.0                       12.0
     61.5            1          36.5                       11.5
     61.0      1     1          36.0      2     1          11.0
     60.5      2     1          35.5                       10.5
     60.0      1     3          35.0                       10.0
     59.5      2     1          34.5                        9.5
     59.0      5     2          34.0            1           9.0
     58.5      1     1          33.5                        8.5
     58.0            1          33.0                        8.0
     57.5      2     4          32.5                        7.5
     57.0      1                32.0                        7.0
     56.5      2     2          31.5                        6.5
     56.0      1     1          31.0      1                 6.0
     55.5            4          30.5                        5.5
     55.0                       30.0            1           5.0
     54.5            1          29.5                        4.5
     54.0      3     3          29.0                        4.0
     53.5            1          28.5                        3.5
     53.0            1          28.0                        3.0
     52.5            1          27.5                        2.5
     52.0      3                27.0                        2.0
     51.5            1          26.5                        1.5
     51.0                       26.0                        1.0
     50.5      1                25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Kansas                     
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   129.0                                         1
   127.5                                         1
   124.0                                  1
   123.0                                  1
   121.5                                                1
   115.5                                                1
   113.5                    1
   112.5                                                2
   112.0                                                1
   110.0                                         1
   109.0                                  1             1
   108.0                                         1      1
   106.5                                                2
   105.5                                         1
   104.5                                                2
   103.0                                         3      1
   102.0                                  1      4      2
   101.0                                         2      5
    99.5                                         3      4
    98.5                                         3      1
    98.0                                         2
    97.5                                  1             2
    97.0                                         1      1
    96.0                           1             3      4
    95.5                                         2
    95.0                                  5      7      8
    94.5                                         2      2
    94.0                                         1
    93.5                                         4      3
    92.5                           1      3      2      6
    92.0                                                2
    91.5                           1      1      6      3
    91.0                                         4      2
    90.5                                         5                    1
    90.0                           1      1      6      1
    89.0                                  3      9      9
    88.5                                  2
    88.0                                         3      6
    87.5                                         6
    87.0                                  1      1      1
    86.5                           2      1      5      2
    86.0                                         2      1
    85.5                                  3      4      2             1
    85.0                                         1      4
    84.5                           1      4      4      6
    84.0                           1      1      3      2
    83.5                                  2      3      3
    83.0                           1      2      8      9
    82.5                                  1             1
    82.0                                  1      3      1
    81.5                                  3      4      2
    81.0                    1             2      4      4
    80.5                                  1      2      6
    80.0                                  2      2      2
    79.5                                  2      6      5
    79.0                                         1                    1
    78.5                           1      2     10
    78.0                                  4      5      6
    77.5                    1             1      3      3
    77.0                           1      2      4      7
    76.5                                  1      3      1
    76.0                                  2      1      6
    75.5                           1             2      1
    75.0                                         6      3
    74.5                                  2      7      6
    74.0                                  1      5      1
    73.5                                  1      4      3
    73.0                                         3      1
    72.5                           1      2      1      3
    72.0                                  1      1      3             1
    71.5                           1      1      4      2
    71.0                           1             5
    70.5                           1      1             3
    70.0                                         2      4
    69.5                                  1             4
    69.0                                         3      5
    68.5                                         1      1
    68.0                                  1      1      2
    67.5                                         5
    67.0                                         3      2
    66.5                           1             3      2
    66.0                                         2      4
    65.5                                  1      1
    65.0                                         1
    64.5                                  2      2      4
    63.5                                  1      1      1
    63.0                                  1
    62.5                                         3      2
    62.0                           1             1      2
    61.5                                  1
    61.0                                  1      1
    60.5                                         2      1
    60.0                                         3      1
    59.5                                         2      1
    59.0                           1      2      2      2
    58.5                    1                           1
    58.0                                                1
    57.5                                  2      3      1
    57.0                                         1      1
    56.5                                         3      1
    56.0                                  2
    55.5                                         4
    54.5                                         1
    54.0                           1      1      1      3
    53.5                                         1
    53.0                           1
    52.5                                         1
    52.0                           1             2
    51.5                                         1
    50.5                                  1      1
    50.0                                  1
    48.0                                  1      1
    47.0                                         2
    46.5                                                1
    45.0                                  1
    42.0                                  1      5
    41.5                                  1             1
    36.0                                  1      1      1
    34.0                                         1
    31.0                                         1
    30.0                                         1      1
    18.0                                         1



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Kansas                     
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    8.68*     0.26      0.39      0.18      0.42      0.07      0.00
      2    0.08      0.16      0.16      8.79*     0.28      0.50      0.02
      3    0.13      0.10      8.68*     0.18      0.50      0.41      0.00
      4    0.13      8.65*     0.24      0.15      0.21      0.62      0.00
      5    6.48*     0.13      0.83      0.07      0.10      2.38      0.02
      6    1.95*     1.07      0.67      0.26      0.33      5.72      0.00
      7    0.83      1.45      0.23      1.42*     0.47      5.60      0.00
      8    1.09      1.40      3.73*     0.07      1.01      2.69      0.02
      9    0.47      7.39*     0.31      0.29      0.26      1.25      0.02
     10    0.21      0.60      0.23      2.18      2.54*     4.22      0.02
     11    1.11      0.77      0.72      4.56*     0.49      2.36      0.00
     12    0.39      0.62      0.78      0.59*     0.13      7.49      0.00
     13    0.36      0.33      0.16      0.96*     0.33      7.87      0.00
     14    0.54      0.93      0.73      0.42      0.94*     6.43      0.00
     15    0.50      0.24      0.46      4.43*     0.54      3.83      0.00
     16    0.41      0.26      0.54      0.34*     0.20      8.26      0.00
     17    0.24      0.54*     0.24      0.10      0.70      8.18      0.00
     18    1.40      0.31      0.49*     0.23      0.26      7.31      0.00
     19    0.28      0.21      0.11      0.37      1.71*     7.31      0.00
     20    0.13      0.24      3.93*     0.73      1.97      2.98      0.02
     21    0.13      0.29      0.39*     0.49      0.18      8.52      0.00
     22    0.52      0.85      0.18      0.20      0.11*     8.14      0.00
     23    0.13      0.15*     0.34      0.10      0.11      9.17      0.00
     24    0.31*     0.13      0.41      0.28      0.24      8.63      0.00
     25    0.29*     0.34      0.26      0.21      0.39      8.50      0.00


   (*)  Correct Response

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