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

      TOTAL NUMBER of official students taking exam:   1306

      Number of unofficial participants:         55

      Average score of participants:           71.6

      Average score for female students  is:   69.6  (   627 Students)
      Average score for male students is:      73.9  (   610 Students)
      Average score for unspecified gender is  70.2  (    69 Students)
      Average score for grade 10 is:           71.5  (   625 Students)
      Average score for grade 9 is:            71.4  (   580 Students)
      Average score for grade 8 and below is:  76.7  (    70 Students)
      Average score with unknown grade:        67.4  (    31 Students)

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

        Number of schools returning results      44
        Average school winning score           94.75


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

      TOTAL NUMBER of official students taking exam:   1976

      Number of unofficial participants:         30

      Average score of participants:           71.8

      Average score for female students  is:   68.4  (   903 Students)
      Average score for male students is:      74.9  (  1011 Students)
      Average score for unspecified gender is  71.0  (    62 Students)
      Average score for grade 13 is:           70.5  (     1 Student) 
      Average score for grade 12 is:           73.8  (   667 Students)
      Average score for grade 11 is:           71.7  (   874 Students)
      Average score for grade 10 is:           69.2  (   285 Students)
      Average score for grade 9 is:            65.4  (   120 Students)
      Average score for grade 8 and below is: 106.5  (     1 Student) 
      Average score with unknown grade:        79.1  (    28 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 92

        Number of schools returning results      61
        Average school winning score           98.86
        Average school team score             277.93
 


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

      TOTAL NUMBER of official students taking exam:    612

      Number of unofficial participants:          0

      Average score of participants:           72.8

      Average score for female students  is:   70.8  (   278 Students)
      Average score for male students is:      74.1  (   305 Students)
      Average score for unspecified gender is  77.7  (    29 Students)
      Average score for grade 10 is:           72.8  (   280 Students)
      Average score for grade 9 is:            72.1  (   301 Students)
      Average score for grade 8 and below is:  79.2  (    27 Students)
      Average score with unknown grade:        78.0  (     4 Students)

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

        Number of schools returning results      19
        Average school winning score          101.24


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

      TOTAL NUMBER of official students taking exam:    753

      Number of unofficial participants:          0

      Average score of participants:           80.2

      Average score for female students  is:   77.6  (   344 Students)
      Average score for male students is:      83.1  (   378 Students)
      Average score for unspecified gender is  74.4  (    31 Students)
      Average score for grade 12 is:           80.8  (   310 Students)
      Average score for grade 11 is:           78.8  (   410 Students)
      Average score for grade 10 is:           89.6  (    24 Students)
      Average score for grade 9 is:            94.8  (     2 Students)
      Average score for grade 8 and below is: 107.8  (     2 Students)
      Average score with unknown grade:        94.9  (     5 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 42

        Number of schools returning results      21
        Average school winning score          106.43
        Average school team score             302.31
 
 


    2005 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    394.0         1                   1
    389.0         1                   2
    380.5                   1         3
    371.0                   1         4
    365.0                   1         5
    345.5         1                   6
    332.0         1                   7
    330.5         1                   8
    329.5         1                   9
    328.5         1                  10
    318.5         3                  11
    318.0         1                  14
    317.5         1         1        15
    313.0                   1        17
    307.5                   1        18
    304.0         1                  19
    303.5                   1        20
    301.5                   1        21
    300.5         1                  22
    300.0                   2        23
    298.0         1                  25
    297.5                   1        26
    297.0                   2        27
    296.5         1                  29
    296.0         1                  30
    293.5         1                  31
    293.0         1                  32
    292.0         1                  33
    291.0                   1        34
    290.0         1                  35
    289.5         1                  36
    289.0                   1        37
    288.5         1                  38
    286.5         1                  39
    286.0         1                  40
    285.5         1                  41
    285.0         2                  42
    281.0                   1        44
    280.0         1         1        45
    278.0         2                  47
    277.0                   1        49
    275.0         2                  50
    273.0         1                  52
    271.5         1         1        53
    269.5         2                  55
    267.5                   1        57
    266.5         1                  58
    265.0         1                  59
    261.0         1                  60
    259.5         1                  61
    259.0         1                  62
    258.0         1                  63
    255.0         1                  64
    254.5         1                  65
    252.5         1                  66
    251.0         1                  67
    250.5         1                  68
    246.0         1                  69
    242.5         1                  70
    241.5         2                  71
    240.5                   1        73
    237.0         2                  74
    233.0         1                  76
    225.5         1                  77
    218.0         1                  78
    215.0         1                  79
    204.0         1                  80
    202.0         1                  81
    199.5         1                  82


         2005 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    138.0         1                             1
    136.0         1         1
    131.0                   1
    130.0         2                             1
    129.0                   1
    128.5         1
    127.5         1         1
    126.5         1         1
    125.0                             1
    124.0                   1                   1
    123.0         1                   1
    122.0         1
    121.5                             1
    120.5                   2         1         1
    119.0         1
    118.0         1                   1         2
    117.0                                       1
    116.0         1         1         1         1
    115.5                             1
    115.0         3
    114.5                   1         3
    113.5                   1         3
    113.0                             1
    112.5         2                   2         1
    112.0                             1
    111.5         3         1
    111.0                   1         1         1
    110.5                             1
    110.0         3         1         3
    109.0         6         1         2         2
    108.5                             3         1
    108.0         4         1         3         1
    107.5         1                   2         1
    106.5         7         3         1
    106.0                             1
    105.5         8         2         3
    105.0         2         1         2         1
    104.5         3         8         1         1
    104.0         1         2         5         1
    103.5                             1
    103.0         8         2         1         2
    102.0        10         3         8         1
    101.5         2         1                   1
    101.0        11         3         3         4
    100.5         6         1         6         1
     99.5         7         4         4         3
     99.0         3         1         1
     98.5         9        14         2         3
     98.0                             8         5
     97.5         9         7                   2
     97.0         7         4         7         3
     96.5                             2         1
     96.0        11        10         3         5
     95.5                             3
     95.0        23        18         4         2
     94.5         2         1         2
     94.0         7         9         2         4
     93.5         8         9        12         7
     93.0                             4         1
     92.5        15        19        11         8
     92.0         1         3         5         3
     91.5        14        15         7         4
     91.0         7         1         6         3
     90.5        11        10         2
     90.0         8        14         9         6
     89.5                             2
     89.0        34        29        18         7
     88.5         3         3         2         1
     88.0        25        10        10         4
     87.5         3         7         8         7
     87.0        13        11         8         2
     86.5        17        11        12         5
     86.0         1         4         5         1
     85.5        28        11        18        11
     85.0         5         4         4         4
     84.5        30        10         8         3
     84.0        15         8        11         9
     83.5        11         4         7         2
     83.0        25        27        20         7
     82.5         5         3        10         7
     82.0        25        27        15         7
     81.5         8         5         7         7
     81.0        19        17        10         2
     80.5        21        14        14        17
     80.0        21         8         6         3
     79.5        24        13        23        13
     79.0        11         6         1         3
     78.5        41        18        22         7
     78.0        20        11        19        14
     77.5        29        10        20         6
     77.0        27        17        15         7
     76.5        20         9         6         8
     76.0        42         9        21         8
     75.5         6         8         9         4
     75.0        38        13        22         5
     74.5        13        12        10        10
     74.0        35         7        13        11
     73.5        25        11        34         9
     73.0        19         5         8         6
     72.5        33         8        38        11
     72.0        10        10        16        12
     71.5        41        11        26         5
     71.0        29        12        23         7
     70.5        37         6        12         6
     70.0        37         6        27         6
     69.5        15         6         5         7
     69.0        42         4        21         7
     68.5        16         7        16         6
     68.0        32        10         9         8
     67.5        28         4        23        11
     67.0        14        11         9         5
     66.5        32         5        26         6
     66.0        15         6        16         8
     65.5        39         7        22         6
     65.0        25         8        23         9
     64.5        25         6        12         6
     64.0        41         4        18         3
     63.5        14         1        13         8
     63.0        28         3        16         5
     62.5        20         3        17         9
     62.0        31         3        12        10
     61.5        15         4        25         5
     61.0        16         5         7         3
     60.5        29                  20         5
     60.0        15         5        19        11
     59.5        17         2        10         6
     59.0        18         4        10         7
     58.5        13         4         6         5
     58.0        23         2        14        10
     57.5         5         2         9         2
     57.0        16                   9         5
     56.5        12         3        11         5
     56.0        11         1         8         3
     55.5        18         1        11         4
     55.0        11         3         7         2
     54.5        23         2        12         3
     54.0        18         6        11         7
     53.5        13         1         1
     53.0        16         3        14         5
     52.5         4         2         4         1
     52.0         6         2         7         4
     51.5         8         2         5         2
     51.0         8         1         5         3
     50.5        11                   7         3
     50.0         6         1         3         3
     49.5        12         1         4         3
     49.0         5                   1
     48.5         8                   3
     48.0        10                   6         5
     47.5         3         1         1         2
     47.0         7         3         6         2
     46.5         5         1         5
     46.0         5         1         2         2
     45.5         5                   4         1
     45.0         1         1         3         2
     44.5        11         1         3         2
     44.0         5                   2         1
     43.5         4                   4         1
     43.0         4                   4         1
     42.5         4                   1         1
     42.0        10         1         5         4
     41.5         2                   1         2
     41.0         2         1         2         1
     40.5         3                   1         1
     40.0         2                   2         2
     39.5         1                   2
     39.0         3                   1
     38.5         1                   2         1
     38.0                             3
     37.5         1                   1
     37.0         3                   2
     36.5         6                   2
     36.0         9         1         7         1
     35.5         2                   1
     35.0                   1         2
     33.5                             1
     33.0         1
     32.5                                       1
     32.0         1
     30.5         1
     30.0         6                   2         4
     29.5         1
     29.0                             1
     28.0         1                   1
     27.0                                       1
     24.0         2                   3         2
     20.5                             1
     19.5                             2
     12.0                             1



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

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0      1               100.0
    149.5                      124.5                       99.5      2     2
    149.0                      124.0                       99.0            1
    148.5                      123.5                       98.5      1     1
    148.0                      123.0      1                98.0      6     2
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0      7
    146.5                      121.5            1          96.5      2
    146.0                      121.0                       96.0      3
    145.5                      120.5            1          95.5      3
    145.0                      120.0                       95.0      2     2
    144.5                      119.5                       94.5      1
    144.0                      119.0                       94.0            2
    143.5                      118.5                       93.5      7     5
    143.0                      118.0            1          93.0      4
    142.5                      117.5                       92.5      8     3
    142.0                      117.0                       92.0      5
    141.5                      116.5                       91.5      4     3
    141.0                      116.0      1                91.0      3     3
    140.5                      115.5            1          90.5      2
    140.0                      115.0                       90.0      5     4
    139.5                      114.5      2     1          89.5      2
    139.0                      114.0                       89.0     11     6
    138.5                      113.5      1     1          88.5      2
    138.0                      113.0      1                88.0      3     7
    137.5                      112.5      1     1          87.5      5     3
    137.0                      112.0      1                87.0      5     2
    136.5                      111.5                       86.5      6     6
    136.0                      111.0      1                86.0      3     2
    135.5                      110.5            1          85.5      8     9
    135.0                      110.0      2     1          85.0      1     2
    134.5                      109.5                       84.5      4     4
    134.0                      109.0      2                84.0      8     3
    133.5                      108.5      3                83.5      2     4
    133.0                      108.0      2     1          83.0      9    11
    132.5                      107.5      1     1          82.5      7     2
    132.0                      107.0                       82.0      4     9
    131.5                      106.5      1                81.5      2     5
    131.0                      106.0      1                81.0      7     3
    130.5                      105.5      3                80.5      7     6
    130.0                      105.0      2                80.0      3     3
    129.5                      104.5                       79.5     10    11
    129.0                      104.0      4     1          79.0      1
    128.5                      103.5      1                78.5      9    12
    128.0                      103.0      1                78.0     12     6
    127.5                      102.5                       77.5      6    13
    127.0                      102.0      3     4          77.0     11     3
    126.5                      101.5                       76.5      3     3
    126.0                      101.0            3          76.0     11     9
    125.5                      100.5      5     1          75.5      4     4



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

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0     10    10          50.0            3          25.0
     74.5      3     7          49.5      2     2          24.5
     74.0      5     5          49.0            1          24.0      2     1
     73.5     17    15          48.5      1     2          23.5
     73.0      4     3          48.0      3     3          23.0
     72.5     11    25          47.5                       22.5
     72.0      6     7          47.0      4     2          22.0
     71.5     12    14          46.5      3     1          21.5
     71.0     13    10          46.0      1     1          21.0
     70.5      8     3          45.5            4          20.5            1
     70.0     10    16          45.0      2     1          20.0
     69.5      2     3          44.5      1     2          19.5      1     1
     69.0      7    12          44.0      1     1          19.0
     68.5     10     4          43.5            4          18.5
     68.0      2     7          43.0      1     3          18.0
     67.5      9    14          42.5      1                17.5
     67.0      2     7          42.0      2     3          17.0
     66.5     12    13          41.5            1          16.5
     66.0      8     6          41.0            1          16.0
     65.5     10    11          40.5      1                15.5
     65.0      9    11          40.0      2                15.0
     64.5      3     9          39.5      1     1          14.5
     64.0      7    11          39.0            1          14.0
     63.5      5     8          38.5      1     1          13.5
     63.0      5     9          38.0      1     1          13.0
     62.5      7    10          37.5      1                12.5
     62.0      8     3          37.0      1     1          12.0            1
     61.5      8    15          36.5      1     1          11.5
     61.0      4     2          36.0      6     1          11.0
     60.5      3    16          35.5            1          10.5
     60.0      8     9          35.0      1     1          10.0
     59.5      3     5          34.5                        9.5
     59.0      4     5          34.0                        9.0
     58.5      3     2          33.5            1           8.5
     58.0      8     6          33.0                        8.0
     57.5      5     4          32.5                        7.5
     57.0      2     7          32.0                        7.0
     56.5      3     8          31.5                        6.5
     56.0      5     3          31.0                        6.0
     55.5      3     8          30.5                        5.5
     55.0      3     4          30.0      2                 5.0
     54.5      6     6          29.5                        4.5
     54.0      5     5          29.0      1                 4.0
     53.5      1                28.5                        3.5
     53.0      6     7          28.0            1           3.0
     52.5      2     2          27.5                        2.5
     52.0      3     3          27.0                        2.0
     51.5      2     3          26.5                        1.5
     51.0            4          26.0                        1.0
     50.5      2     4          25.5                         .5
                                                            0.0      0     0



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

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   125.0                                  1
   123.0                           1
   121.5                    1
   120.5                    1
   118.0                                  1
   116.0                           1
   115.5                    1
   114.5                           3
   113.5                           2      1
   113.0                                  1
   112.5                                  2
   112.0                           1
   111.0                                  1
   110.5                           1
   110.0             1      1      1
   109.0                           1      1
   108.5                           1      2
   108.0             1             1      1
   107.5                           1      1
   106.5                           1
   106.0                           1
   105.5                                  3
   105.0                           1      1
   104.5                                         1
   104.0                           2      3
   103.5                                  1
   103.0                           1
   102.0                    1      1      6
   101.0                           1      2
   100.5                           3      3
    99.5                    1      1      2
    99.0                           1
    98.5                           1      1
    98.0             1             2      5
    97.0                           3      4
    96.5                                  2
    96.0             1             1      1
    95.5                           1      2
    95.0                           1      3
    94.5                    1                    1
    94.0                           1      1
    93.5                           6      6
    93.0                    1      1      2
    92.5                    1      3      7
    92.0                           4      1
    91.5                    1      3      3
    91.0                    1      3      2
    90.5                                  2
    90.0                           4      5
    89.5                           2
    89.0                          10      8
    88.5                           2
    88.0             1             5      4
    87.5                    1      3      4
    87.0                           3      5
    86.5                           5      7
    86.0                    1      2      2
    85.5                    2      6      9      1
    85.0                           3      1
    84.5                    1      4      3
    84.0                           5      6
    83.5                           4      3
    83.0                    1      8     11
    82.5                    2      1      7
    82.0                           6      8      1
    81.5                           3      4
    81.0                    1      4      5
    80.5                           5      8      1
    80.0                           2      4
    79.5                    3      9     11
    79.0                           1
    78.5                    2     13      6      1
    78.0                    1      8     10
    77.5                    1     10      8      1
    77.0                           9      6
    76.5                           3      3
    76.0                    1     14      6
    75.5                           7      2
    75.0                    2     13      7
    74.5                           5      5
    74.0                    1      6      4      2
    73.5                    4     14     16
    73.0                           2      4      2
    72.5                    1     18     17      2
    72.0                    1     10      5
    71.5                    3      9     13      1
    71.0                          15      8
    70.5                    2      5      5
    70.0                    2     12     13
    69.5                           3      2
    69.0                           8     12      1
    68.5                           3     12      1
    68.0                           2      7
    67.5                    1     10     12
    67.0                           3      6
    66.5             1            14     11
    66.0                    1      6      9
    65.5                    1      9     12
    65.0                    1     12      9      1
    64.5                    1      1     10
    64.0                    1      3     14
    63.5                           7      6
    63.0             1             5      9      1
    62.5                           6     11
    62.0                           5      6      1
    61.5             1      2      8     12      2
    61.0                           6      1
    60.5                          11      8      1
    60.0                           6     12      1
    59.5                    1      3      6
    59.0                           2      7      1
    58.5                           2      4
    58.0                          10      4
    57.5                           3      6
    57.0                    1      5      3
    56.5                          10      1
    56.0                           6      2
    55.5                           7      4
    55.0                           4      2      1
    54.5                    2      6      4
    54.0                    1      6      3      1
    53.5                                  1
    53.0                           7      7
    52.5                           3      1
    52.0                           3      3      1
    51.5                           2      3
    51.0                           2      2      1
    50.5                           5      2
    50.0                           1      2
    49.5                           3      1
    49.0                           1
    48.5                    1      1      1
    48.0                    1             5
    47.5                                         1
    47.0                           4      2
    46.5                           2      3
    46.0                                  2
    45.5                           2      1      1
    45.0                                  3
    44.5                           1      2
    44.0                           1      1
    43.5                           3      1
    43.0                           1      3
    42.5                                  1
    42.0                           3      2
    41.5                    1
    41.0                           1             1
    40.5                                  1
    40.0                           2
    39.5                           1      1
    39.0                           1
    38.5                           1      1
    38.0                           1      2
    37.5                           1
    37.0                    1             1
    36.5                           2
    36.0                           2      5
    35.5                           1
    35.0                    1      1
    33.5                                  1
    30.0                           1      1
    29.0                                  1
    28.0                                  1
    24.0                                  3
    20.5                                  1
    19.5                           1      1
    12.0                                  1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Iowa                       
                              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    0.26      0.17      0.27      8.58*     0.41      0.31      0.00
      2    0.15      0.15      4.55*     0.12      1.51      3.51      0.00
      3    0.09      8.66*     0.38      0.41      0.08      0.38      0.00
      4    0.37      1.17*     2.14      0.41      0.54      5.37      0.00
      5    6.26*     0.49      2.96      0.06      0.06      0.17      0.01
      6    0.37      4.17*     3.58      0.18      0.09      1.62      0.00
      7    0.69      3.09*     0.34      0.44      0.59      4.85      0.00
      8    1.16      0.29      3.01*     0.12      0.14      5.28      0.00
      9    1.17      5.54*     1.02      0.18      0.23      1.86      0.00
     10    1.15*     0.25      1.03      0.34      0.08      7.14      0.00
     11    0.47      2.15*     0.22      0.70      0.16      6.30      0.00
     12    0.25      0.75*     0.47      0.18      0.42      7.92      0.00
     13    1.06      0.44      0.25      0.20      0.64*     7.42      0.00
     14    0.67      0.46      0.29      0.38      1.96*     6.23      0.00
     15    0.48      0.51      0.55      0.82      0.78*     6.85      0.00
     16    0.63      0.28      0.51      1.94*     0.07      6.57      0.00
     17    0.34      0.28      0.39      1.65*     0.38      6.97      0.00
     18    1.42*     2.07      1.19      2.95      0.27      2.11      0.00
     19    0.49      0.71      0.87      2.76*     0.65      4.52      0.00
     20    0.32*     0.28      0.46      0.43      0.28      8.24      0.00
     21    1.42      0.67*     0.16      0.23      0.65      6.87      0.00
     22    0.60      0.43      0.23      1.88*     0.34      6.52      0.00
     23    0.19      0.37      1.00*     0.87      0.56      7.01      0.00
     24    0.83      0.53*     0.14      0.14      0.08      8.28      0.00
     25    0.37      0.58      0.68      0.59*     0.07      7.71      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 Iowa                       
                         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
    149.0                      124.0                       99.0      2     1
    148.5                      123.5                       98.5      7     2
    148.0                      123.0      1                98.0
    147.5                      122.5                       97.5      3     6
    147.0                      122.0      1                97.0      6     1
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      8     3
    145.5                      120.5                       95.5
    145.0                      120.0                       95.0     16     5
    144.5                      119.5                       94.5      2
    144.0                      119.0      1                94.0      3     3
    143.5                      118.5                       93.5      6     1
    143.0                      118.0      1                93.0
    142.5                      117.5                       92.5     10     4
    142.0                      117.0                       92.0      1
    141.5                      116.5                       91.5     11     2
    141.0                      116.0      1                91.0      5     2
    140.5                      115.5                       90.5      3     8
    140.0                      115.0      2     1          90.0      6     2
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0     23     9
    138.5                      113.5                       88.5      2     1
    138.0      1               113.0                       88.0     10    15
    137.5                      112.5      2                87.5      3
    137.0                      112.0                       87.0      5     8
    136.5                      111.5      3                86.5     12     4
    136.0      1               111.0                       86.0            1
    135.5                      110.5                       85.5     14    12
    135.0                      110.0      3                85.0      4     1
    134.5                      109.5                       84.5     15    14
    134.0                      109.0      5     1          84.0     12     3
    133.5                      108.5                       83.5      8     3
    133.0                      108.0      3                83.0     18     7
    132.5                      107.5      1                82.5      5
    132.0                      107.0                       82.0     19     6
    131.5                      106.5      5     2          81.5      6     2
    131.0                      106.0                       81.0     10     9
    130.5                      105.5      6     1          80.5     12     7
    130.0      2               105.0      2                80.0      9    12
    129.5                      104.5      2     1          79.5     15     9
    129.0                      104.0            1          79.0      6     5
    128.5      1               103.5                       78.5     20    21
    128.0                      103.0      6     2          78.0     12     7
    127.5      1               102.5                       77.5     14    14
    127.0                      102.0      8     1          77.0     17    10
    126.5      1               101.5            1          76.5      3    17
    126.0                      101.0      8     2          76.0     22    20
    125.5                      100.5      4     2          75.5      4     2



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

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0     14    24          50.0      2     4          25.0
     74.5      8     5          49.5      3     9          24.5
     74.0     17    18          49.0      1     4          24.0      2
     73.5     16     7          48.5      3     5          23.5
     73.0      4    14          48.0      6     2          23.0
     72.5     14    17          47.5            3          22.5
     72.0      9     1          47.0      3     4          22.0
     71.5     20    21          46.5      2     3          21.5
     71.0     18    11          46.0      2     3          21.0
     70.5     15    19          45.5      1     4          20.5
     70.0     19    17          45.0            1          20.0
     69.5     10     5          44.5      1     9          19.5
     69.0     17    23          44.0      2     3          19.0
     68.5     10     6          43.5      2     2          18.5
     68.0     16    15          43.0      1     2          18.0
     67.5     19     8          42.5      2     2          17.5
     67.0      5     9          42.0      4     6          17.0
     66.5     15    17          41.5            2          16.5
     66.0      5     9          41.0      1     1          16.0
     65.5     16    19          40.5      1     2          15.5
     65.0     13    11          40.0      2                15.0
     64.5     11    13          39.5            1          14.5
     64.0     21    17          39.0      1     2          14.0
     63.5      5     9          38.5            1          13.5
     63.0     14    13          38.0                       13.0
     62.5     13     6          37.5            1          12.5
     62.0     12    19          37.0            3          12.0
     61.5      4    10          36.5      1     5          11.5
     61.0      5    10          36.0      5     3          11.0
     60.5     13    14          35.5            2          10.5
     60.0      7     8          35.0                       10.0
     59.5      7    10          34.5                        9.5
     59.0      8    10          34.0                        9.0
     58.5      4     9          33.5                        8.5
     58.0      9    13          33.0      1                 8.0
     57.5      1     4          32.5                        7.5
     57.0      4    12          32.0      1                 7.0
     56.5      6     6          31.5                        6.5
     56.0      4     7          31.0                        6.0
     55.5     10     8          30.5            1           5.5
     55.0      6     5          30.0      2     2           5.0
     54.5     11    12          29.5      1                 4.5
     54.0      9     8          29.0                        4.0
     53.5      4     7          28.5                        3.5
     53.0      5    11          28.0            1           3.0
     52.5      2     2          27.5                        2.5
     52.0      2     4          27.0                        2.0
     51.5      4     4          26.5                        1.5
     51.0      3     5          26.0                        1.0
     50.5      6     4          25.5                         .5
                                                            0.0      0     0



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

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   138.0                                         1
   136.0                           1
   130.0                                  1                           1
   128.5                                         1
   127.5                                         1
   126.5                                                1
   123.0                                                1
   122.0                                                1
   119.0                                  1
   118.0                                                1
   116.0                                         1
   115.0                                  2      1
   112.5                                         1      1
   111.5                                         1      2
   110.0                                         2      1
   109.0                                         2      4
   108.0                                         2      1             1
   107.5                                                1
   106.5                    1             1      2      2             1
   105.5                           1             2      5
   105.0                                                2
   104.5                                         2      1
   104.0                                                1
   103.0                                  1      1      6
   102.0                                         4      5             1
   101.5                                         1      1
   101.0                                  1      5      4             1
   100.5                                         3      3
    99.5                                         4      3
    99.0                                  1      1      1
    98.5                           1             5      3
    97.5                                         3      6
    97.0                                  2      2      3
    96.0                           1      2      4      4
    95.0                                  1      7     12             3
    94.5                                         2
    94.0                                  1      4      2
    93.5                                  3      3      1             1
    92.5                           1      1     10      3
    92.0                           1
    91.5                                         6      7             1
    91.0                           1             3      3
    90.5                                  1      5      5
    90.0                                  3      1      4
    89.0                           2      2     16     14
    88.5                                  1      1      1
    88.0                           2      1     10     12
    87.5                                         3
    87.0                           1             8      4
    86.5                                  2      5     10
    86.0                                         1
    85.5                           1      1     12     14
    85.0                                  1      1      3
    84.5                           1      4     16      8             1
    84.0                                         7      8
    83.5                                  2      6      3
    83.0                           2      1      8     14
    82.5                                         4      1
    82.0                                  3     12     10
    81.5                           2             6
    81.0                           1      2      7      9
    80.5                                  7      8      4             2
    80.0                                  3      9      9
    79.5                           2      3      8     10             1
    79.0                                  2      8      1
    78.5                                  9     14     18
    78.0                                  3     11      6
    77.5                           2      7     14      5             1
    77.0                                  4     11     12
    76.5                           1      1     10      8
    76.0                           1      7     21     13
    75.5                                         6
    75.0                           2      5     17     14
    74.5                           1             9      3
    74.0                           3      9     14      9
    73.5                           1      3      9     10             2
    73.0                           1      3      8      7
    72.5                           2      8     16      7
    72.0                                  4      2      4
    71.5                           3      9     18     10             1
    71.0                           1      2     14     12
    70.5                           2      6     15     12      1      1
    70.0                           1      7     18     11
    69.5                           1      1      4      9
    69.0                           4      4     23     11
    68.5                                  2      9      5
    68.0                           2      8     13      9
    67.5                           1            17     10
    67.0                           1      2      7      3             1
    66.5                           1      5     18      8
    66.0                                  1      7      7
    65.5                           5      8     12     14
    65.0                           3      2     16      4
    64.5                                  6     12      7
    64.0                           2      5     20     14
    63.5                           2      1      6      5
    63.0                           2      4     14      8
    62.5                           1      5      7      7
    62.0                           3      5     10     12             1
    61.5                                  2      8      4             1
    61.0                           1      4      7      4
    60.5                           4      5     12      8
    60.0                           2      1      5      7
    59.5                           3      4      6      4
    59.0                           2      4      7      5
    58.5                           1      4      6      2
    58.0                           1      4      9      8             1
    57.5                                         3      2
    57.0                           1      2      8      5
    56.5                           1      2      7      2
    56.0                                  1      6      4
    55.5                           2      2     11      3
    55.0                           2             8      1
    54.5                           3      9      4      7
    54.0                           1      5      8      3             1
    53.5                           2      2      4      4             1
    53.0                           2      3      5      6
    52.5                           1      1      1      1
    52.0                           1             2      3
    51.5                           1      1      3      2             1
    51.0                                  1      6      1
    50.5                           1      1      5      3             1
    50.0                                         3      3
    49.5                           2      1      3      6
    49.0                                  1      2      2
    48.5                           2      1      4      1
    48.0                                  1      5      3             1
    47.5                           1             1      1
    47.0                                  3      2      2
    46.5                                         3      2
    46.0                                  2      1      2
    45.5                           1      1      1      2
    45.0                                                1
    44.5                           4      1      6
    44.0                           1      2      2
    43.5                                  1      3
    43.0                                  1      3
    42.5                           1      1      1      1
    42.0                           2             3      5
    41.5                                                2
    41.0                                  1      1
    40.5                                  1      1      1
    40.0                                         1      1
    39.5                                                1
    39.0                                  1      2
    38.5                                                1
    37.5                                                1
    37.0                                         2      1
    36.5                           1             2      3
    36.0                           1      2      2      4
    35.5                           1             1
    33.0                                         1
    32.0                                         1
    30.5                                         1
    30.0                                  2      3      1
    29.5                                  1
    28.0                           1
    24.0                                         1      1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Iowa                       
                              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    0.10      0.12      0.19      8.96*     0.17      0.48      0.00
      2    0.02      9.05*     0.34      0.35      0.05      0.20      0.00
      3    0.40      2.23*     1.46      0.41      0.50      4.99      0.00
      4    6.24*     0.35      3.18      0.06      0.03      0.14      0.00
      5    0.35      4.96*     2.87      0.15      0.10      1.56      0.00
      6    0.69      3.76*     0.31      0.32      0.72      4.18      0.01
      7    0.91      0.22      4.84*     0.10      0.07      3.87      0.00
      8    0.22      0.48      0.20      1.09*     0.23      7.77      0.00
      9    1.79*     0.36      0.92      0.28      0.17      6.47      0.00
     10    0.38      2.25*     0.13      0.57      0.12      6.55      0.00
     11    0.66      0.59      0.30      0.39      2.37*     5.69      0.00
     12    0.91      0.28      0.27      1.89*     1.20      5.44      0.00
     13    0.21      0.21      0.33      2.07*     0.42      6.75      0.01
     14    0.44      0.39      3.42      0.81*     0.40      4.53      0.00
     15    0.16      0.40      0.88*     0.90      0.65      7.00      0.00
     16    0.17      0.25      0.51      0.36*     0.28      8.42      0.00
     17    1.28*     1.19      1.09      0.32      0.47      5.65      0.00
     18    0.31*     0.30      0.26      0.35      0.24      8.53      0.00
     19    0.68      2.02*     0.92      0.57      1.00      4.81      0.00
     20    0.30      0.15      0.11      0.08      0.13*     9.24      0.00
     21    0.29      0.35      0.28*     0.20      0.05      8.84      0.00
     22    0.37      0.37*     0.26      0.19      0.21      8.60      0.00
     23    0.45      0.28*     0.17      0.17      0.45      8.48      0.01
     24    0.09      0.10*     0.13      0.23      0.07      9.38      0.00
     25    0.29      0.20      0.23*     0.18      0.11      8.98      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 Iowa                       
                         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      1     2
    149.0                      124.0      1                99.0
    148.5                      123.5                       98.5      2
    148.0                      123.0                       98.0      3     2
    147.5                      122.5                       97.5      1     1
    147.0                      122.0                       97.0      1     2
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      4     1
    145.5                      120.5      1                95.5
    145.0                      120.0                       95.0      2
    144.5                      119.5                       94.5
    144.0                      119.0                       94.0      1     2
    143.5                      118.5                       93.5      5     1
    143.0                      118.0      1     1          93.0      1
    142.5                      117.5                       92.5      3     5
    142.0                      117.0      1                92.0      3
    141.5                      116.5                       91.5      2     2
    141.0                      116.0                       91.0      3
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0      3     3
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0      6
    138.5                      113.5                       88.5            1
    138.0            1         113.0                       88.0      2     2
    137.5                      112.5      1                87.5      3     4
    137.0                      112.0                       87.0      1     1
    136.5                      111.5                       86.5      3     1
    136.0                      111.0      1                86.0      1
    135.5                      110.5                       85.5      6     5
    135.0                      110.0                       85.0      1     3
    134.5                      109.5                       84.5      1     2
    134.0                      109.0      1     1          84.0      5     3
    133.5                      108.5      1                83.5      1     1
    133.0                      108.0      1                83.0      5     2
    132.5                      107.5      1                82.5      6     1
    132.0                      107.0                       82.0      2     5
    131.5                      106.5                       81.5      3     4
    131.0                      106.0                       81.0      1     1
    130.5                      105.5                       80.5      7     9
    130.0      1               105.0      1                80.0      2     1
    129.5                      104.5            1          79.5      7     5
    129.0                      104.0      1                79.0      2     1
    128.5                      103.5                       78.5      1     6
    128.0                      103.0      1                78.0      7     6
    127.5                      102.5                       77.5      4     1
    127.0                      102.0            1          77.0      4     2
    126.5                      101.5                       76.5      2     6
    126.0                      101.0      1     2          76.0      7     1
    125.5                      100.5            1          75.5      3     1



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

                               GENDER       

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



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

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   138.0                    1
   130.0                           1
   124.0                                  1
   120.5                    1
   118.0                    1      1
   117.0                                  1
   116.0                                  1
   112.5                                  1
   111.0                                  1
   109.0                           1      1
   108.5                                  1
   108.0                           1
   107.5                           1
   105.0                                  1
   104.5                           1
   104.0                                  1
   103.0                           1      1
   102.0                                  1
   101.5                                  1
   101.0                           1      3
   100.5                                  1
    99.5                           2      1
    98.5                           2             1
    98.0      1                    2      2
    97.5                           1      1
    97.0                           2      1
    96.5                                  1
    96.0      1      1      1      1      1
    95.0                           1      1
    94.0                           3      1
    93.5                           2      5
    93.0                           1
    92.5                           3      5
    92.0                           3
    91.5                           3      1
    91.0             1             2
    90.0                           4      2
    89.0                    1      3      3
    88.5                           1
    88.0             1             2      1
    87.5             1             3      3
    87.0                                  2
    86.5                           2      3
    86.0                                  1
    85.5                           7      4
    85.0                           2      2
    84.5                           1      2
    84.0                           4      5
    83.5                                  2
    83.0                           4      3
    82.5                           4      3
    82.0                           4      3
    81.5                           4      3
    81.0                           1      1
    80.5                    1      5     11
    80.0                           2      1
    79.5                           7      6
    79.0                           2      1
    78.5                           5      2
    78.0                           8      6
    77.5             1             3      1      1
    77.0                           3      4
    76.5                           3      5
    76.0                           4      4
    75.5                           4
    75.0                           3      2
    74.5                           6      4
    74.0                           6      5
    73.5             1             4      3      1
    73.0      1                    2      3
    72.5                           6      5
    72.0                           5      7
    71.5                           1      4
    71.0                    1      3      3
    70.5                           5      1
    70.0                           6
    69.5                           4      3
    69.0                           3      4
    68.5                           4      2
    68.0                           1      7
    67.5             1             6      4
    67.0                           1      4
    66.5      1                    3      2
    66.0                    1      5      2
    65.5                           1      5
    65.0             1             6      2
    64.5                           3      3
    64.0                           1      2
    63.5                           2      6
    63.0             1             2      2
    62.5             1      1      5      1      1
    62.0                           7      3
    61.5                           1      4
    61.0                           2      1
    60.5                           2      3
    60.0                    1      5      5
    59.5                           1      5
    59.0                           5      2
    58.5                           2      3
    58.0                           4      6
    57.5                                  2
    57.0                           4      1
    56.5                           1      4
    56.0                           1      2
    55.5                           2      2
    55.0                           1      1
    54.5                           2      1
    54.0                           5      2
    53.0                           3      2
    52.5                           1
    52.0                    1      3
    51.5                                  2
    51.0             1             2
    50.5                                  3
    50.0                           2      1
    49.5                           1      2
    48.0                           3      2
    47.5                           2
    47.0                                  2
    46.0                           1      1
    45.5                                  1
    45.0                           1      1
    44.5                           1      1
    44.0                                  1
    43.5                                  1
    43.0                                  1
    42.5                                  1
    42.0                           4
    41.5                           1      1
    41.0                           1
    40.5                                  1
    40.0                           2
    38.5                           1
    36.0                           1
    32.5                           1
    30.0                    1      2      1
    27.0                                  1
    24.0                           1      1



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Iowa                       
                              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    8.24*     0.52      0.60      0.16      0.34      0.13      0.00
      2    0.10      0.25      0.21      7.96*     0.34      1.14      0.00
      3    0.03      0.65      2.43      5.11*     0.98      0.78      0.00
      4    1.03      0.16      0.70      2.73*     0.23      5.15      0.00
      5    0.11      0.15      8.48*     0.23      0.39      0.64      0.00
      6    0.21      8.15*     0.28      0.25      0.21      0.90      0.00
      7    0.78      0.60*     0.38      1.06      0.93      6.24      0.00
      8    4.07*     0.23      1.24      0.10      0.13      4.23      0.00
      9    0.62      0.49      2.53      3.77*     0.77      1.81      0.00
     10    1.09*     0.78      0.51      0.39      0.34      6.88      0.00
     11    0.25      0.51      0.23      1.68      1.32*     6.01      0.00
     12    0.57      1.27      0.33      0.10      0.36*     7.37      0.00
     13    0.31      0.59      1.00*     1.42      0.54      6.14      0.00
     14    0.38      0.28      1.03*     2.34      0.42      5.56      0.00
     15    1.50      0.54      0.75      3.97*     0.69      2.55      0.00
     16    0.31      0.51      0.57      0.18*     0.15      8.28      0.00
     17    0.46      1.70*     1.32      0.39      0.23      5.90      0.00
     18    0.38      4.74      0.82      2.03*     0.49      1.55      0.00
     19    0.47      4.67*     0.56      0.52      0.29      3.48      0.00
     20    0.67      0.26      0.96*     0.39      0.18      7.53      0.00
     21    0.25*     0.18      0.34      0.23      0.18      8.82      0.00
     22    0.51      0.75      0.20*     0.23      0.34      7.97      0.00
     23    2.97      0.33      0.31*     0.31      0.15      5.93      0.00
     24    0.28      0.28      0.20      0.42      0.90*     7.92      0.00
     25    0.33      0.29      2.27*     0.11      0.11      6.88      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 Iowa                       
                         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      2     2
    149.0                      124.0      1                99.0      1
    148.5                      123.5                       98.5      9     5
    148.0                      123.0                       98.0
    147.5                      122.5                       97.5      4     3
    147.0                      122.0                       97.0      3     1
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      7     3
    145.5                      120.5      2                95.5
    145.0                      120.0                       95.0      9     8
    144.5                      119.5                       94.5
    144.0                      119.0                       94.0      3     6
    143.5                      118.5                       93.5      7     2
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      9     8
    142.0                      117.0                       92.0      1     1
    141.5                      116.5                       91.5      8     7
    141.0                      116.0      1                91.0      1
    140.5                      115.5                       90.5      6     4
    140.0                      115.0                       90.0     13     1
    139.5                      114.5      1                89.5
    139.0                      114.0                       89.0     19    10
    138.5                      113.5            1          88.5            3
    138.0                      113.0                       88.0      4     6
    137.5                      112.5                       87.5      5     2
    137.0                      112.0                       87.0      5     6
    136.5                      111.5      1                86.5     10     1
    136.0      1               111.0      1                86.0      3     1
    135.5                      110.5                       85.5      5     5
    135.0                      110.0      1                85.0      3     1
    134.5                      109.5                       84.5      3     7
    134.0                      109.0      1                84.0      7     1
    133.5                      108.5                       83.5            4
    133.0                      108.0            1          83.0     16    10
    132.5                      107.5                       82.5      1     2
    132.0                      107.0                       82.0     13    14
    131.5                      106.5      3                81.5      3     2
    131.0      1               106.0                       81.0      5    12
    130.5                      105.5      2                80.5      7     6
    130.0                      105.0      1                80.0      3     4
    129.5                      104.5      4     4          79.5      4     9
    129.0      1               104.0      2                79.0      4     2
    128.5                      103.5                       78.5      5    12
    128.0                      103.0      2                78.0      5     6
    127.5      1               102.5                       77.5      4     6
    127.0                      102.0      1     2          77.0      7     8
    126.5      1               101.5      1                76.5      4     5
    126.0                      101.0      2     1          76.0      5     4
    125.5                      100.5      1                75.5      5     3



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

                               GENDER       

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



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

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   136.0                                         1
   131.0                                         1
   129.0                                         1
   127.5                                         1
   126.5                                                1
   124.0                                                1
   120.5                                         1                    1
   116.0                                                1
   114.5                                  1
   113.5                    1
   111.5                                                1
   111.0                                                1
   110.0                                                1
   109.0                                  1
   108.0                                         1
   106.5                                  1      1      1
   105.5                                         1      1
   105.0                                         1
   104.5                                  2      3      3
   104.0                                                2
   103.0                                         1      1
   102.0                    1                    1      1
   101.5                                         1
   101.0                                         1      2
   100.5                                  1
    99.5                                         2      2
    99.0                                                1
    98.5                                         8      6
    97.5                           1             2      4
    97.0                                  2      1      1
    96.0                                  1      2      6             1
    95.0                                        11      7
    94.5                                         1
    94.0                                  1      3      5
    93.5                                         5      4
    92.5                                  1      7     11
    92.0                           1             1      1
    91.5                                        10      5
    91.0                                                1
    90.5                                         3      5             2
    90.0                                  1      5      8
    89.0                                  1     17     11
    88.5                                         1      2
    88.0                                  1      4      5
    87.5                                         7
    87.0                                         8      3
    86.5                                         7      4
    86.0                                  2             2
    85.5                                  1      6      4
    85.0                                         3      1
    84.5                                         3      7
    84.0                                         5      3
    83.5                                         1      3
    83.0                                        19      8
    82.5                                         2      1
    82.0                                        18      9
    81.5                                         3      2
    81.0                                         7     10
    80.5                                  2      6      6
    80.0                                         7      1
    79.5                                         8      5
    79.0                                         3      3
    78.5                                        11      7
    78.0                                         6      5
    77.5                                         8      2
    77.0                                         9      7             1
    76.5                                         5      4
    76.0                                         4      5
    75.5                                         5      3
    75.0                                  1      7      5
    74.5                                  1      6      5
    74.0                                         5      2
    73.5                                         8      3
    73.0                                         3      2
    72.5                                         6      2
    72.0                                         3      7
    71.5                                         6      5
    71.0                                         4      8
    70.5                                         3      3
    70.0                                         4      2
    69.5                                  1      3      2
    69.0                                         3      1
    68.5                                         4      3
    68.0                                         6      4
    67.5                                         3      1
    67.0                                         8      3
    66.5                                         2      3
    66.0                                         1      5
    65.5                                         5      2
    65.0                                  1      4      3
    64.5                                         4      2
    64.0                                  1      1      2
    63.5                                         1
    63.0                                         1      2
    62.5                                         1      2
    62.0                                         3
    61.5                                         3      1
    61.0                                         4      1
    60.0                                         3      2
    59.5                                         1      1
    59.0                                         3      1
    58.5                                         2      2
    58.0                                         2
    57.5                                         1      1
    56.5                                         2      1
    56.0                                         1
    55.5                                                1
    55.0                                         1      2
    54.5                                         1      1
    54.0                                         4      2
    53.5                                         1
    53.0                                         1      2
    52.5                                         2
    52.0                                         1      1
    51.5                                                2
    51.0                                         1
    50.0                                         1
    49.5                                         1
    47.5                                                1
    47.0                                         2      1
    46.5                                         1
    46.0                                         1
    45.0                                         1
    44.5                                                1
    42.0                                         1
    41.0                                         1
    36.0                                         1
    35.0                                         1



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Iowa                       
                              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    8.88*     0.20      0.28      0.21      0.32      0.09      0.01
      2    0.11      0.12      0.15      8.76*     0.24      0.62      0.00
      3    0.08      0.05      8.91*     0.17      0.25      0.53      0.00
      4    0.09      8.95*     0.15      0.12      0.27      0.42      0.00
      5    6.51*     0.11      1.04      0.03      0.09      2.23      0.00
      6    2.20*     0.77      0.61      0.21      0.35      5.86      0.00
      7    0.80      1.33      0.16      1.45*     0.41      5.86      0.00
      8    0.94      1.53      3.17*     0.03      0.80      3.52      0.01
      9    0.42      6.55*     0.44      0.70      0.24      1.63      0.01
     10    0.19      0.45      0.11      2.10      2.56*     4.59      0.00
     11    1.30      0.78      0.81      4.45*     0.50      2.15      0.00
     12    0.17      0.45      0.64      0.45*     0.03      8.26      0.00
     13    0.27      0.23      0.24      0.74*     0.15      8.38      0.00
     14    0.48      1.01      0.48      0.31      0.56*     7.17      0.00
     15    0.40      0.35      0.20      4.83*     0.29      3.90      0.03
     16    0.25      0.08      0.52      0.49*     0.15      8.50      0.01
     17    0.23      0.35*     0.17      0.08      0.69      8.47      0.01
     18    1.08      0.40      0.37*     0.25      0.13      7.77      0.00
     19    0.27      0.13      0.11      0.20      2.08*     7.21      0.00
     20    0.08      0.23      4.18*     0.48      1.77      3.27      0.00
     21    0.12      0.17      0.39*     0.35      0.19      8.78      0.01
     22    0.48      0.86      0.12      0.15      0.11*     8.29      0.00
     23    0.13      0.11*     0.08      0.05      0.11      9.52      0.00
     24    0.21*     0.15      0.23      0.20      0.13      9.08      0.00
     25    0.16*     0.15      0.25      0.09      0.42      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