American Mathematics Competitions
                   2005 AMC 10 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1473

      Number of unofficial participants:          0

      Average score of participants:           74.0

      Average score for female students  is:   70.8  (   656 Students)
      Average score for male students is:      75.6  (   664 Students)
      Average score for unspecified gender is  81.0  (   153 Students)
      Average score for grade 10 is:           74.1  (   615 Students)
      Average score for grade 9 is:            74.2  (   458 Students)
      Average score for grade 8 and below is:  70.7  (   301 Students)
      Average score with unknown grade:        82.3  (    99 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 21

        Number of schools returning results      61
        Average school winning score          101.60


                   American Mathematics Competitions
                   2005 AMC 12 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1980

      Number of unofficial participants:          0

      Average score of participants:           80.1

      Average score for female students  is:   76.3  (   827 Students)
      Average score for male students is:      82.7  (  1000 Students)
      Average score for unspecified gender is  83.7  (   153 Students)
      Average score for grade 12 is:           80.7  (   779 Students)
      Average score for grade 11 is:           78.7  (   974 Students)
      Average score for grade 10 is:           81.6  (   148 Students)
      Average score for grade 9 is:           102.5  (     5 Students)
      Average score with unknown grade:        88.4  (    74 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                225

        Number of schools returning results      53
        Average school winning score          106.44
        Average school team score             301.74
 


                   American Mathematics Competitions
                   2005 AMC 10 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    913

      Number of unofficial participants:          0

      Average score of participants:           79.0

      Average score for female students  is:   77.0  (   424 Students)
      Average score for male students is:      80.1  (   396 Students)
      Average score for unspecified gender is  83.6  (    93 Students)
      Average score for grade 10 is:           80.6  (   399 Students)
      Average score for grade 9 is:            77.2  (   284 Students)
      Average score for grade 8 and below is:  77.9  (   173 Students)
      Average score with unknown grade:        80.3  (    57 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  7

        Number of schools returning results      40
        Average school winning score          106.22


                   American Mathematics Competitions
                   2005 AMC 12 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    750

      Number of unofficial participants:          0

      Average score of participants:           83.6

      Average score for female students  is:   81.0  (   305 Students)
      Average score for male students is:      85.7  (   402 Students)
      Average score for unspecified gender is  82.5  (    43 Students)
      Average score for grade 12 is:           85.3  (   295 Students)
      Average score for grade 11 is:           81.9  (   383 Students)
      Average score for grade 10 is:           89.7  (    47 Students)
      Average score for grade 9 is:            84.5  (     5 Students)
      Average score for grade 8 and below is: 104.0  (     3 Students)
      Average score with unknown grade:        72.6  (    17 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 93

        Number of schools returning results      38
        Average school winning score          103.70
        Average school team score             291.37
 
 


    2005 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    411.0         1                   1
    399.0         1                   2
    381.5         1                   3
    355.0         1                   4
    354.0                   1         5
    353.5         1                   6
    353.0         1                   7
    350.5                   1         8
    347.0         1                   9
    345.0         1                  10
    339.0         1                  11
    337.5         1                  12
    335.5         1                  13
    333.0         1                  14
    332.5         1                  15
    330.5                   1        16
    330.0                   1        17
    329.5                   2        18
    328.0                   1        20
    327.0         1         1        21
    325.5                   1        23
    324.5         1                  24
    322.5         2         1        25
    321.5         1                  28
    318.0         1                  29
    317.0         1                  30
    316.5                   1        31
    315.5                   2        32
    313.0                   2        34
    308.5         1                  36
    307.0         1                  37
    306.5         1                  38
    305.0                   1        39
    304.5         1                  40
    304.0                   1        41
    303.5         1                  42
    303.0         2                  43
    300.0         1                  45
    299.5         1         1        46
    298.5                   3        48
    298.0         1         1        51
    296.5         2                  53
    295.5         2                  55
    292.0                   1        57
    290.5                   1        58
    285.5         2                  59
    284.0                   1        61
    282.5                   1        62
    281.0                   2        63
    280.5         1                  65
    277.5         1                  66
    276.0         1                  67
    273.5                   1        68
    272.5         1                  69
    270.0         1                  70
    269.0         1                  71
    268.0         1                  72
    267.0         1                  73
    266.5         2         1        74
    256.5         1                  77
    256.0                   2        78
    247.0         1         1        80
    246.5         1         1        82
    243.0                   1        84
    240.0                   1        85
    237.5                   1        86
    231.0         1                  87
    227.5         1                  88
    203.5         1                  89
    202.5         1                  90
     92.5                   1        91


         2005 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    140.5         1
    138.0                                       1
    137.0         2                   1
    136.0         1
    134.5         1
    133.5         1         1         1
    132.5                             1
    132.0         1                   1         1
    131.0         2         1
    130.0         1                   1
    129.0                             2
    126.0         1                             1
    125.5         1         1         4
    125.0         1                   1
    124.0         2                   3
    123.0         3                   1         1
    122.5                             1         1
    122.0         3                             1
    120.5                             4         1
    119.5         5
    118.5         1                   1
    118.0                                       1
    117.0         1         1         2         2
    116.5         1
    116.0         6                   3         3
    115.5         1         1         1
    115.0         3         1         2         1
    114.5         1                   4         2
    114.0                             1
    113.5         3                   1
    112.5         7                   1         3
    112.0         1         1         5         2
    111.5         6         6         1         1
    111.0         2                   4
    110.0         4         3         3         3
    109.0        16         8                   4
    108.5         1                   1         2
    108.0        12         9         4         2
    107.5         2         2         6         5
    106.5        11         2         1         9
    106.0                             2
    105.5        22         8         2         1
    105.0         3         1         2         2
    104.5        19        11         4         2
    104.0                             5        11
    103.5                   1         1         1
    103.0        11         4         7         4
    102.5         2                   2         1
    102.0        25        12         2         4
    101.5         1                   5         1
    101.0        31        11         3         6
    100.5         6         8         5         5
    100.0                             1
     99.5        18        10         8        11
     99.0         4         1         6         2
     98.5        24        11         8        11
     98.0         6         5         8         9
     97.5         7         4         1         2
     97.0        12        11         8         7
     96.5         3                             1
     96.0        28        15        11        15
     95.5         4         1         3        12
     95.0        54        21        11         4
     94.5         7         4         7         5
     94.0         7         5         4         2
     93.5        18         7        14        17
     93.0                             4         6
     92.5        39        25        12         9
     92.0         4         3         9        13
     91.5        26        15         9         9
     91.0        13        11        14        10
     90.5        19         6         3         2
     90.0        32        23        15        19
     89.5         8                   4         6
     89.0        59        25        13        13
     88.5         9         5         8         6
     88.0        28         7        11         4
     87.5        19        15        15        19
     87.0        15         5         9         6
     86.5        22        21        15        12
     86.0         5         2         7         9
     85.5        42         9        15        12
     85.0        18         4        10        19
     84.5        34         5         7         6
     84.0        21        12        21        19
     83.5        10         1         7         8
     83.0        62        25        20        11
     82.5         9         9         7         9
     82.0        20         8        16         7
     81.5        11        10        17        11
     81.0        22         7        15        10
     80.5        31        17        18        22
     80.0        11         3         8        11
     79.5        26        15        30        10
     79.0         8         9        13        10
     78.5        35         6        23        12
     78.0        26        17        19        10
     77.5        30         3        14        15
     77.0        35        21         9        14
     76.5        11         7        11        13
     76.0        32        14        33         7
     75.5        15         7        21         7
     75.0        24         6        22         9
     74.5        19        11        15         8
     74.0        32                   6         6
     73.5        22         9        21         9
     73.0        12         4        13         6
     72.5        27         4        20         9
     72.0        24        11        15        18
     71.5        22                  23        10
     71.0        22         7        23         3
     70.5        17         8        11         2
     70.0        16         6        25         8
     69.5        11         2        11         5
     69.0        30         1        27         9
     68.5        17         5        23         7
     68.0        13         3        13         8
     67.5        27         6        22        10
     67.0        10         8        13        12
     66.5        18         4        17         6
     66.0        19        13        14        15
     65.5        21         7        10         7
     65.0        19         5        16         4
     64.5         9         4         9         5
     64.0        16         3        22         6
     63.5        12         3         8         3
     63.0        18         2        11         7
     62.5         5         7         9         9
     62.0        16         2        20         7
     61.5         8         2        13         3
     61.0         6         3        10         1
     60.5        19         2        19         6
     60.0        15         4        24         6
     59.5         8         4        13         3
     59.0        14         1        17         5
     58.5        12                   7
     58.0         8         1        18         6
     57.5         9         1        15         8
     57.0        16         4         4         4
     56.5         7         3        14         4
     56.0         4                  11         4
     55.5         9         1         8         3
     55.0         2         1         3         1
     54.5         4         2        12         3
     54.0        12         1        15         6
     53.5         2         2         5         3
     53.0         4         2         8         2
     52.5         5                   2         2
     52.0         4                   3         4
     51.5         7         1         3
     51.0         3         1         6         5
     50.5         7         1         7         2
     50.0         4                   4         4
     49.5         5         1         9         2
     49.0                             5
     48.5         4                   8
     48.0         7         1         7         3
     47.5                   1        11         3
     47.0         2                   5         1
     46.5         2         1         5         2
     46.0         3                   2         3
     45.5         1                   3         2
     45.0         4                   4
     44.5         3                   2         3
     44.0         1         1         1         1
     43.5         1                   5         1
     43.0                   1         7         1
     42.5         1                   3         1
     42.0         7                   7         4
     41.5                                       1
     41.0         1         1                   1
     40.5                   1         1
     40.0                             1         3
     39.5         2
     39.0         1                   1
     38.5         1         1         3
     38.0         2                   1         3
     37.5         1                   1         2
     37.0         1
     36.5                             5
     36.0         5         1         5         5
     35.5                                       1
     35.0         1                   1         1
     34.5                             1
     34.0                             1
     33.0                             1
     32.5         1                   1
     32.0                             1
     31.5                             1
     31.0                             1
     30.5         2         1
     30.0         3                   3         1
     29.0         2
     28.0                                       1
     27.5                             1
     26.5                             2
     24.0         3                   1         1
     23.0                   1
     22.5                                       2
     18.0                             1         1
     16.0                             1
     12.0         2
      6.0                                       1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for North Carolina             
                         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      3     3
    149.0                      124.0      1                99.0      4     1
    148.5                      123.5                       98.5      3     4
    148.0                      123.0                       98.0      1     6
    147.5                      122.5      1                97.5            1
    147.0                      122.0                       97.0      5     3
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      5     4
    145.5                      120.5      2     1          95.5      2
    145.0                      120.0                       95.0      7     1
    144.5                      119.5                       94.5      4     1
    144.0                      119.0                       94.0            2
    143.5                      118.5      1                93.5      8     4
    143.0                      118.0                       93.0      3     1
    142.5                      117.5                       92.5      5     6
    142.0                      117.0      1                92.0      7
    141.5                      116.5                       91.5      4     4
    141.0                      116.0      1     1          91.0     10     4
    140.5                      115.5                       90.5      2     1
    140.0                      115.0      1     1          90.0      8     5
    139.5                      114.5      4                89.5      3     1
    139.0                      114.0      1                89.0      4     8
    138.5                      113.5      1                88.5      4     4
    138.0                      113.0                       88.0      8     2
    137.5                      112.5      1                87.5      7     4
    137.0      1               112.0      3     2          87.0      3     4
    136.5                      111.5      1                86.5      7     4
    136.0                      111.0      3     1          86.0      4     3
    135.5                      110.5                       85.5      6     5
    135.0                      110.0      1     1          85.0      5     5
    134.5                      109.5                       84.5      4     2
    134.0                      109.0                       84.0      8    11
    133.5                      108.5                       83.5      2     4
    133.0                      108.0      4                83.0      8     9
    132.5      1               107.5      5     1          82.5      3     3
    132.0            1         107.0                       82.0      4     9
    131.5                      106.5      1                81.5     10     7
    131.0                      106.0      2                81.0     10     5
    130.5                      105.5      2                80.5      9     7
    130.0                      105.0            1          80.0      3     4
    129.5                      104.5      1     3          79.5     11    15
    129.0      1     1         104.0      4                79.0      7     5
    128.5                      103.5            1          78.5     12     6
    128.0                      103.0      5                78.0      9     6
    127.5                      102.5      2                77.5      8     6
    127.0                      102.0      1     1          77.0      4     2
    126.5                      101.5      1     1          76.5      5     6
    126.0                      101.0      1     1          76.0     15    15
    125.5      1     2         100.5      3     2          75.5      8     9



                   American Mathematics Competitions
                   2005 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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


                   American Mathematics Competitions
                   2005 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   137.0                                  1
   133.5                                         1
   132.5                                  1
   132.0                           1
   130.0                                         1
   129.0      1                    1
   125.5                           3             1
   125.0                                  1
   124.0                                  1      2
   123.0                                  1
   122.5                    1
   120.5                    1             2      1
   118.5                           1
   117.0                                  2
   116.0                           2             1
   115.5                                  1
   115.0                                  2
   114.5                           2      2
   114.0                           1
   113.5                                  1
   112.5                           1
   112.0                    1      3      1
   111.5                                  1
   111.0      1                    1      2
   110.0                                  2      1
   108.5                           1
   108.0                           2      2
   107.5                    1      2      3
   106.5                                  1
   106.0                                  2
   105.5                           1      1
   105.0                           1             1
   104.5                    1      2      1
   104.0                           1      3      1
   103.5                                  1
   103.0                           3      3      1
   102.5                           1      1
   102.0                           1      1
   101.5             1                    1      3
   101.0                           1      2
   100.5                    1      3      1
   100.0                                  1
    99.5                                  6      2
    99.0                           3      2      1
    98.5                    1      3      3      1
    98.0                           4      3      1
    97.5                    1
    97.0                    3             5
    96.0             1             3      5      2
    95.5                           1      1      1
    95.0                    1      4      3      3
    94.5                    1      3      2      1
    94.0                    1             2      1
    93.5             1      1      4      7      1
    93.0                    1      2      1
    92.5                    2      2      8
    92.0                           4      3      2
    91.5             2      1      1      4      1
    91.0             1             5      8
    90.5      1             1             1
    90.0      1      2      1      5      4      2
    89.5                    2      1      1
    89.0                           6      7
    88.5                           3      5
    88.0             1      2      4      4
    87.5                    1      5      6      3
    87.0                    1      2      5      1
    86.5                           4      8      3
    86.0                    1      2      4
    85.5                    1      5      7      2
    85.0                           1      9
    84.5             1      1      2      2      1
    84.0      1      1      1      8     10
    83.5             1             3      2      1
    83.0                    5      3     11      1
    82.5                           1      5      1
    82.0             1      2      3      8      2
    81.5      1      1      1      5      9
    81.0      1      1      4      4      5
    80.5                    2     10      5      1
    80.0                    1      3      3      1
    79.5             4      5      5     14      2
    79.0                    1      6      5      1
    78.5                    6      6      7      4
    78.0      1             3      8      5      2
    77.5      1             3      4      6
    77.0             1             3      2      3
    76.5                    2      6      3
    76.0             2      6     11     12      2
    75.5                    3      2     14      2
    75.0      1      3      5      6      5      2
    74.5             1      1      6      6      1
    74.0             2      3             1
    73.5             2      4      6      8      1
    73.0             1      1      5      5      1
    72.5             3      5      5      7
    72.0                    3      5      5      2
    71.5             3      2      8      9      1
    71.0      1             5      9      8
    70.5                           4      6      1
    70.0             2      7      9      7
    69.5                    1      5      5
    69.0             1            14     12
    68.5                    8      9      5      1
    68.0                    4      3      4      2
    67.5             3      4      4     11
    67.0             1      2      3      6      1
    66.5      1             7      5      2      2
    66.0             1      1      2      8      2
    65.5                    3      2      5
    65.0                    1      9      4      2
    64.5                           4      4      1
    64.0             2      7      4      8      1
    63.5                    1      1      6
    63.0             1      1      3      5      1
    62.5             1      2      1      4      1
    62.0             3      3      7      6      1
    61.5             1      3      3      6
    61.0                    3      4      3
    60.5      1      1      4      7      5      1
    60.0             1      3      9     11
    59.5             2      2      2      7
    59.0             4      1      3      8      1
    58.5                    1      2      4
    58.0             2      2     11      3
    57.5                    1      5      9
    57.0                           1      3
    56.5                    1      5      8
    56.0                           5      6
    55.5                    2      4      2
    55.0      1                    1      1
    54.5                           6      5      1
    54.0             1      5      3      6
    53.5                    1      3      1
    53.0             2      2      1      3
    52.5                           1      1
    52.0                           2      1
    51.5                           2      1
    51.0             3      2      1
    50.5                    2      2      3
    50.0                           1      3
    49.5                    3      2      4
    49.0             1             3      1
    48.5      1             1      2      3      1
    48.0             2      2      2             1
    47.5             2             3      6
    47.0                    1      1      3
    46.5             2                    3
    46.0                           1      1
    45.5             2                    1
    45.0             1             3
    44.5                                  2
    44.0                           1
    43.5                           2      3
    43.0                    1      2      4
    42.5                           1      2
    42.0                    2      1      2      2
    40.5                                  1
    40.0                                  1
    39.0                                  1
    38.5                    1             2
    38.0                           1
    37.5                           1
    36.5                           1      3      1
    36.0             1      2             1      1
    35.0                                  1
    34.5                                  1
    34.0                                  1
    33.0                           1
    32.5                    1
    32.0                           1
    31.5                                  1
    31.0                                  1
    30.0             1                    2
    27.5                                  1
    26.5                                  2
    24.0                           1
    18.0                                  1
    16.0                                  1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for North Carolina             
                              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    0.27      0.15      0.31      8.53*     0.45      0.29      0.00
      2    0.14      0.21      5.46*     0.08      1.41      2.70      0.00
      3    0.07      8.91*     0.25      0.38      0.10      0.29      0.00
      4    0.45      1.68*     1.73      0.60      0.54      5.00      0.00
      5    5.98*     0.42      3.27      0.13      0.06      0.13      0.01
      6    0.22      5.25*     3.08      0.15      0.05      1.26      0.00
      7    0.74      3.62*     0.33      0.41      0.74      4.15      0.01
      8    1.05      0.23      4.11*     0.14      0.09      4.38      0.01
      9    1.17      5.69*     1.02      0.22      0.16      1.73      0.00
     10    1.77*     0.43      0.95      0.34      0.14      6.36      0.01
     11    0.39      2.29*     0.23      0.77      0.09      6.23      0.00
     12    0.27      1.16*     0.55      0.22      0.69      7.10      0.01
     13    1.48      0.45      0.37      0.38      0.99*     6.31      0.01
     14    0.65      0.44      0.35      0.50      2.23*     5.82      0.00
     15    0.42      0.64      0.81      1.02      1.00*     6.12      0.00
     16    0.58      0.35      0.73      2.32*     0.14      5.89      0.00
     17    0.30      0.30      0.41      1.93*     0.43      6.63      0.00
     18    1.26*     1.87      0.94      3.53      0.35      2.06      0.00
     19    0.40      0.73      0.84      3.52*     0.61      3.90      0.00
     20    0.68*     0.34      0.43      0.41      0.22      7.91      0.00
     21    1.43      0.75*     0.29      0.36      0.62      6.54      0.00
     22    0.73      0.45      0.31      2.34*     0.57      5.59      0.00
     23    0.26      0.44      1.25*     0.84      0.64      6.57      0.00
     24    0.90      0.82*     0.35      0.13      0.14      7.66      0.00
     25    0.29      0.75      0.93      0.64*     0.11      7.28      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 North Carolina             
                         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     12     3
    149.0                      124.0      1     1          99.0      1     3
    148.5                      123.5                       98.5     14     8
    148.0                      123.0      2                98.0      5     1
    147.5                      122.5                       97.5      2     5
    147.0                      122.0      2     1          97.0     11     1
    146.5                      121.5                       96.5      1     1
    146.0                      121.0                       96.0     19     8
    145.5                      120.5                       95.5      2     1
    145.0                      120.0                       95.0     38    15
    144.5                      119.5      5                94.5      5     1
    144.0                      119.0                       94.0      5     2
    143.5                      118.5      1                93.5     11     6
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5     23    11
    142.0                      117.0                       92.0      4
    141.5                      116.5      1                91.5     17     6
    141.0                      116.0      1     2          91.0     10     3
    140.5      1               115.5            1          90.5     10     8
    140.0                      115.0      3                90.0     16    10
    139.5                      114.5      1                89.5      8
    139.0                      114.0                       89.0     32    21
    138.5                      113.5                       88.5      6     3
    138.0                      113.0                       88.0      7    18
    137.5                      112.5      6                87.5      9     9
    137.0      1     1         112.0                       87.0      6     7
    136.5                      111.5      5     1          86.5     12    10
    136.0                      111.0      2                86.0      4
    135.5                      110.5                       85.5     24    16
    135.0                      110.0      2     1          85.0      8    10
    134.5                      109.5                       84.5     12    18
    134.0                      109.0     12     1          84.0     12     9
    133.5      1               108.5            1          83.5      5     5
    133.0                      108.0      6     5          83.0     29    31
    132.5                      107.5      2                82.5      7     2
    132.0      1               107.0                       82.0      8    10
    131.5                      106.5      6     5          81.5      6     4
    131.0      2               106.0                       81.0      8    12
    130.5                      105.5     17     3          80.5     11    16
    130.0      1               105.0      1     1          80.0      4     6
    129.5                      104.5     13     4          79.5     16     9
    129.0                      104.0                       79.0      4     3
    128.5                      103.5                       78.5     19    14
    128.0                      103.0      7     2          78.0     13    11
    127.5                      102.5      2                77.5     14    13
    127.0                      102.0     18     5          77.0     16    18
    126.5                      101.5      1                76.5      5     6
    126.0      1               101.0     14    12          76.0     12    18
    125.5      1               100.5      5     1          75.5      9     6



                   American Mathematics Competitions
                   2005 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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


                   American Mathematics Competitions
                   2005 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   140.5                                                              1
   137.0                                         1      1
   136.0                                                              1
   134.5                                                              1
   133.5                                  1
   132.0                                         1
   131.0                                                2
   130.0                                                1
   126.0                                                1
   125.5                                                1
   125.0                                  1
   124.0                                         1      1
   123.0                           1                    1             1
   122.0                           1                    2
   119.5                                  1      2      2
   118.5                                                1
   117.0                                                1
   116.5                                         1
   116.0                                         2      3             1
   115.5                                         1
   115.0                                         2      1
   114.5                                  1
   113.5                                                              3
   112.5                                  2      1      4
   112.0                                                              1
   111.5                                  1      1      4
   111.0                                                2
   110.0                                         1      2             1
   109.0                                  1      8      6             1
   108.5                                                1
   108.0                           1      1      6      3             1
   107.5                                         2
   106.5                                  1      3      7
   105.5                                  1     10     10             1
   105.0                                  1      1                    1
   104.5                                  2      3     13             1
   103.0                                  3      4      4
   102.5                                         2
   102.0                                  1     15      9
   101.5                                         1
   101.0                                  1     14     15             1
   100.5                                         3      3
    99.5                                  2      9      5             2
    99.0                                  1      2      1
    98.5                                         9     14             1
    98.0                                  1      3      2
    97.5                                         5      2
    97.0                                  2      4      6
    96.5                                  1      2
    96.0                                  2     10     16
    95.5                                         1      2             1
    95.0                                  5     25     24
    94.5                                         5      1             1
    94.0                                  1      2      4
    93.5                                  1     10      6             1
    92.5                                  1     15     20             3
    92.0                                  2      2
    91.5                                  2     20      2             2
    91.0                                  2      7      4
    90.5                                  1      7     11
    90.0                                        15     14             3
    89.5                                  1      6      1
    89.0                                        25     31             3
    88.5                                         4      5
    88.0                                  2     15      9             2
    87.5                                  2     11      5             1
    87.0                                         5      9             1
    86.5                                  2     15      5
    86.0                                  1      1      2             1
    85.5                                  2     20     19             1
    85.0                                  2     11      4             1
    84.5                                  1     16     15             2
    84.0                                        12      9
    83.5                                  1      6      3
    83.0                                  6     27     27             2
    82.5                                         6      3
    82.0                                  1     11      6             2
    81.5                                  1      8      2
    81.0                           1      2     10      7             2
    80.5                                  5     14     10             2
    80.0                                  1      6      4
    79.5                                  2     14      8             2
    79.0                                         4      4
    78.5                           1      4     20      9             1
    78.0                                  7     12      5             2
    77.5                                  1     18     10             1
    77.0                                  3     20     12
    76.5                                  1      6      4
    76.0                                  6     17      9
    75.5                                  1     10      4
    75.0                                  3     11      9             1
    74.5                                  1      7      9             2
    74.0                                  1     12     17             2
    73.5                                  3     12      6             1
    73.0                                  1      7      4
    72.5                                  1     14     12
    72.0                                  2      6     15             1
    71.5                                  4      6     12
    71.0                                        10     10             2
    70.5                                  1      9      6             1
    70.0                                        12      3             1
    69.5                                  3      4      4
    69.0                                  1     17     12
    68.5                                  1      9      7
    68.0                                        10      2             1
    67.5                                  1     14     10             2
    67.0                                         6      4
    66.5                                  3     11      4
    66.0                                         8     10             1
    65.5                                  1     10     10
    65.0                                  2     11      6
    64.5                                  2      3      4
    64.0                                  1      6      9
    63.5                                         7      5
    63.0                                  2      9      7
    62.5                                         2      2             1
    62.0                                  1      9      6
    61.5                                  1      3      4
    61.0                                         1      5
    60.5                                  1      7     11
    60.0                                        10      5
    59.5                                         4      3             1
    59.0                                  3      8      3
    58.5                                  2      9      1
    58.0                                  2      3      3
    57.5                                         4      5
    57.0                                        13      3
    56.5                                         5      2
    56.0                                  2      1      1
    55.5                                  1      3      5
    55.0                                         2
    54.5                                         3      1
    54.0                                        11      1
    53.5                                         2
    53.0                                  1      2      1
    52.5                                         2      3
    52.0                                         2      2
    51.5                                         4      3
    51.0                                         3
    50.5                                         7
    50.0                                         2      2
    49.5                                         2      3
    48.5                                         3      1
    48.0                                         2      5
    47.0                                         1      1
    46.5                                         2
    46.0                                         1      2
    45.5                                         1
    45.0                                  1      1      2
    44.5                                         2      1
    44.0                                         1
    43.5                                         1
    42.5                                                1
    42.0                                  1      2      4
    41.0                                                1
    39.5                                         2
    39.0                                         1
    38.5                                                1
    38.0                                         1      1
    37.5                                         1
    37.0                                                1
    36.0                                         3      2
    35.0                                         1
    32.5                                                1
    30.5                                         1      1
    30.0                                         1      2
    29.0                                         1      1
    24.0                                                2             1
    12.0                                         1      1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for North Carolina             
                              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    0.03      0.03      0.11      9.60*     0.10      0.15      0.00
      2    0.02      9.47*     0.18      0.25      0.03      0.05      0.00
      3    0.45      4.48*     0.99      0.31      0.48      3.28      0.00
      4    6.91*     0.33      2.57      0.07      0.03      0.09      0.00
      5    0.19      7.44*     1.54      0.10      0.05      0.68      0.00
      6    0.46      5.08*     0.29      0.32      0.71      3.14      0.00
      7    0.40      0.18      7.24*     0.07      0.11      2.02      0.00
      8    0.30      0.49      0.38      2.11*     0.16      6.56      0.00
      9    3.54*     0.38      0.95      0.23      0.08      4.82      0.00
     10    0.36      3.31*     0.27      0.44      0.15      5.48      0.00
     11    0.78      0.43      0.34      0.48      3.41*     4.55      0.01
     12    1.05      0.23      0.19      3.73*     1.31      3.49      0.00
     13    0.15      0.18      0.40      3.10*     0.31      5.86      0.00
     14    0.31      0.43      2.90      1.22*     0.31      4.83      0.01
     15    0.22      0.38      1.35*     0.65      0.76      6.63      0.00
     16    0.30      0.26      0.85      0.69*     0.25      7.65      0.00
     17    1.81*     0.85      1.34      0.35      0.35      5.29      0.01
     18    0.46*     0.45      0.29      0.21      0.19      8.40      0.00
     19    0.88      2.25*     0.91      0.43      0.63      4.88      0.01
     20    0.29      0.18      0.16      0.09      0.27*     9.00      0.01
     21    0.36      0.49      0.46*     0.19      0.07      8.43      0.00
     22    0.43      0.54*     0.26      0.29      0.21      8.28      0.00
     23    0.50      0.56*     0.29      0.25      0.41      7.98      0.01
     24    0.03      0.13*     0.20      0.24      0.06      9.34      0.00
     25    0.29      0.22      0.18*     0.16      0.08      9.07      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 North Carolina             
                         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      8     2
    149.0                      124.0                       99.0      2
    148.5                      123.5                       98.5      6     4
    148.0                      123.0      1                98.0      8     1
    147.5                      122.5      1                97.5      1
    147.0                      122.0      1                97.0      2     4
    146.5                      121.5                       96.5            1
    146.0                      121.0                       96.0      2     9
    145.5                      120.5      1                95.5      6     3
    145.0                      120.0                       95.0      3     1
    144.5                      119.5                       94.5      3     1
    144.0                      119.0                       94.0      1     1
    143.5                      118.5                       93.5      2    12
    143.0                      118.0            1          93.0      1     3
    142.5                      117.5                       92.5      6     3
    142.0                      117.0            2          92.0      6     6
    141.5                      116.5                       91.5      1     8
    141.0                      116.0      1     1          91.0      5     4
    140.5                      115.5                       90.5      2
    140.0                      115.0      1                90.0     10     7
    139.5                      114.5            2          89.5      2     4
    139.0                      114.0                       89.0      2    10
    138.5                      113.5                       88.5      3     2
    138.0      1               113.0                       88.0            3
    137.5                      112.5      2                87.5     10     7
    137.0                      112.0            1          87.0      2     3
    136.5                      111.5            1          86.5      4     8
    136.0                      111.0                       86.0      2     3
    135.5                      110.5                       85.5      4     7
    135.0                      110.0      2     1          85.0      8    11
    134.5                      109.5                       84.5      2     4
    134.0                      109.0      1     2          84.0      7    11
    133.5                      108.5      2                83.5      2     4
    133.0                      108.0      1     1          83.0      7     4
    132.5                      107.5      2     1          82.5      4     4
    132.0      1               107.0                       82.0      4     2
    131.5                      106.5      5     3          81.5      7     4
    131.0                      106.0                       81.0      5     4
    130.5                      105.5      1                80.5      9    12
    130.0                      105.0      1     1          80.0      5     3
    129.5                      104.5      1     1          79.5      5     4
    129.0                      104.0      4     6          79.0      3     6
    128.5                      103.5            1          78.5      3     6
    128.0                      103.0      4                78.0      4     5
    127.5                      102.5                       77.5      9     5
    127.0                      102.0      1     2          77.0      7     5
    126.5                      101.5      1                76.5      7     3
    126.0                      101.0      3     2          76.0      3     4
    125.5                      100.5      4     1          75.5      4     1



                   American Mathematics Competitions
                   2005 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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


                   American Mathematics Competitions
                   2005 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   138.0                           1
   132.0                    1
   126.0                                  1
   123.0                                  1
   122.5                    1
   122.0                                  1
   120.5                           1
   118.0                                  1
   117.0      1                    1
   116.0                    1      1      1
   115.0             1
   114.5                                  2
   112.5                           2      1
   112.0                    1             1
   111.5                                  1
   110.0                    1             2
   109.0                    1      1      2
   108.5                           1      1
   108.0                           1      1
   107.5      1                    1      2      1
   106.5                           1      8
   105.5                           1
   105.0                           1      1
   104.5                    1             1
   104.0             1      1      2      6      1
   103.5                                  1
   103.0                    1      1      2
   102.5                                         1
   102.0                           1      3
   101.5                                  1
   101.0                    1      3      2
   100.5                           1      4
    99.5                    3             7      1
    99.0                           1      1
    98.5      1             1      2      7
    98.0      1             2      4      2
    97.5                                  1      1
    97.0                    2      2      2      1
    96.5                           1
    96.0                           5      7      3
    95.5                    2      1      7      2
    95.0                           2      2
    94.5                           3      1      1
    94.0             1      1
    93.5                    3      6      7      1
    93.0                           1      4      1
    92.5                           3      6
    92.0             1      1      4      7
    91.5                    2      3      4
    91.0                           3      6      1
    90.5                    1             1
    90.0                    1      6     10      2
    89.5                    1      3      2
    89.0                    3      1      8      1
    88.5      1                    2      2      1
    88.0                           4
    87.5             1             7     10      1
    87.0                    2      2      2
    86.5             1      2      5      4
    86.0                           1      6      2
    85.5                    2      5      4      1
    85.0                    3      6      9      1
    84.5                    1             5
    84.0             1      3      7      8
    83.5                           1      7
    83.0      1             2      4      4
    82.5                    1      4      4
    82.0                           5      2
    81.5             1      2      3      5
    81.0                    2      4      4
    80.5                    3      6     12      1
    80.0                    2      3      4      2
    79.5                    5      2      2      1
    79.0                    1      3      5      1
    78.5      1      1      3      2      2      3
    78.0                    3      4      2      1
    77.5             3      2      5      4      1
    77.0             1      2      3      7      1
    76.5                    2      5      4      2
    76.0                    1      1      5
    75.5      1      1      1      1      2      1
    75.0                    1      5      2      1
    74.5             1      4      1      2
    74.0                    1             4      1
    73.5                           3      5      1
    73.0                    2      1      3
    72.5                    5      2      1      1
    72.0      1      3      3      5      5      1
    71.5                    1      3      6
    71.0             1      1      1
    70.5                    1             1
    70.0                    1      6      1
    69.5             1             1      3
    69.0                    3      2      4
    68.5             1             2      3      1
    68.0                           5      2      1
    67.5                    1      5      3      1
    67.0                    1      3      7      1
    66.5             2      1      1      2
    66.0                    2      2     10      1
    65.5             1      4             2
    65.0                    1      1      1      1
    64.5                    1      2      1      1
    64.0                           3      3
    63.5      1                           2
    63.0                           2      4      1
    62.5                    1      4      4
    62.0                    1      3      3
    61.5      1                           1      1
    61.0                                         1
    60.5             1             1      4
    60.0                    2      3      1
    59.5             1             1      1
    59.0                    1             4
    58.0                    2      2      2
    57.5             1             3      3      1
    57.0                           1      3
    56.5                           1      2      1
    56.0                           2      2
    55.5                           3
    55.0                           1
    54.5                           3
    54.0             1      2      1      2
    53.5                    1      1      1
    53.0                           1      1
    52.5                    1             1
    52.0                    1      2      1
    51.0                    1      3             1
    50.5                           1             1
    50.0                           3      1
    49.5                           1      1
    48.0                    1      1      1
    47.5                           3
    47.0                                  1
    46.5                    2
    46.0                    1      1      1
    45.5                           2
    44.5                           2      1
    44.0                                  1
    43.5                                  1
    43.0                                  1
    42.5                           1
    42.0                    1      2      1
    41.5                           1
    41.0                                  1
    40.0                           2      1
    38.0                    1      1      1
    37.5                           1      1
    36.0                    1      2      2
    35.5                           1
    35.0                                  1
    30.0                                  1
    28.0                                  1
    24.0                    1
    22.5                    1             1
    18.0                                  1
     6.0                                  1



                   American Mathematics Competitions
                   2005 AMC 10 B Results for North Carolina             
                              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*     0.27      0.32      0.12      0.30      0.11      0.00
      2    0.13      0.24      0.05      8.87*     0.20      0.50      0.00
      3    0.02      0.76      1.76      6.09*     1.02      0.35      0.00
      4    0.90      0.13      0.65      5.39*     0.21      2.73      0.00
      5    0.09      0.03      9.08*     0.13      0.33      0.34      0.00
      6    0.21      8.51*     0.21      0.31      0.16      0.60      0.00
      7    1.20      1.47*     0.38      1.18      0.77      4.99      0.00
      8    6.19*     0.19      1.15      0.03      0.15      2.29      0.00
      9    0.48      0.72      1.66      5.29*     0.57      1.27      0.00
     10    0.93*     0.93      0.54      0.42      0.35      6.83      0.00
     11    0.27      0.73      0.34      1.92      1.92*     4.82      0.00
     12    0.64      1.29      0.57      0.35      0.27*     6.88      0.00
     13    0.53      0.71      1.89*     1.70      0.38      4.79      0.00
     14    0.48      0.31      1.66*     1.99      0.53      5.03      0.00
     15    1.39      0.55      0.67      4.16*     0.53      2.71      0.00
     16    0.39      0.79      0.96      0.36*     0.07      7.43      0.00
     17    0.32      3.04*     0.80      0.53      0.28      5.03      0.00
     18    0.32      4.90      1.13      2.04*     0.46      1.16      0.00
     19    0.42      5.96*     0.67      0.39      0.42      2.15      0.00
     20    0.67      0.31      1.22*     0.33      0.39      7.09      0.00
     21    0.35*     0.36      0.35      0.34      0.21      8.39      0.00
     22    0.68      1.07      0.44*     0.35      0.23      7.23      0.00
     23    2.92      0.47      0.45*     0.37      0.23      5.54      0.01
     24    0.46      0.27      0.28      0.42      1.54*     7.02      0.00
     25    0.30      0.38      3.89*     0.21      0.24      4.98      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 12 B Results for North Carolina             
                         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      8     2
    149.0                      124.0                       99.0
    148.5                      123.5                       98.5      7     3
    148.0                      123.0                       98.0      1     4
    147.5                      122.5                       97.5      1
    147.0                      122.0                       97.0      8     2
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      7     4
    145.5                      120.5                       95.5            1
    145.0                      120.0                       95.0     11     9
    144.5                      119.5                       94.5      2     2
    144.0                      119.0                       94.0      2     3
    143.5                      118.5                       93.5      4     3
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5     14    11
    142.0                      117.0      1                92.0            3
    141.5                      116.5                       91.5      7     8
    141.0                      116.0                       91.0      6     5
    140.5                      115.5      1                90.5      2     4
    140.0                      115.0      1                90.0     13     9
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0     15     9
    138.5                      113.5                       88.5      5
    138.0                      113.0                       88.0      3     3
    137.5                      112.5                       87.5      7     7
    137.0                      112.0      1                87.0      3     2
    136.5                      111.5      5     1          86.5     11    10
    136.0                      111.0                       86.0            2
    135.5                      110.5                       85.5      6     3
    135.0                      110.0      2     1          85.0      3     1
    134.5                      109.5                       84.5      4     1
    134.0                      109.0      6     1          84.0      7     4
    133.5      1               108.5                       83.5      1
    133.0                      108.0      5     4          83.0     13    12
    132.5                      107.5      2                82.5      7     2
    132.0                      107.0                       82.0      3     3
    131.5                      106.5      2                81.5      1     9
    131.0      1               106.0                       81.0      3     2
    130.5                      105.5      7     1          80.5     10     5
    130.0                      105.0      1                80.0      2     1
    129.5                      104.5      6     4          79.5      9     4
    129.0                      104.0                       79.0      6     3
    128.5                      103.5            1          78.5      4     2
    128.0                      103.0      4                78.0     13     4
    127.5                      102.5                       77.5            3
    127.0                      102.0     10     1          77.0     15     6
    126.5                      101.5                       76.5      3     2
    126.0                      101.0      5     5          76.0      6     7
    125.5      1               100.5      5     3          75.5      2     5



                   American Mathematics Competitions
                   2005 AMC 12 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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


                   American Mathematics Competitions
                   2005 AMC 12 B Results for North Carolina             
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   133.5                                  1
   131.0                                         1
   125.5                                         1
   117.0                                         1
   115.5                                  1
   115.0                                                1
   112.0                                                1
   111.5                    1             2      1      2
   110.0                                                3
   109.0                                  1      1      6
   108.0                                         4      5
   107.5                           1             1
   106.5                                                2
   105.5                                         3      5
   105.0                                         1
   104.5                                  1      2      8
   103.5                                         1
   103.0                                         3      1
   102.0                                         8      4
   101.0                    1             1      4      5
   100.5                                  1      2      5
    99.5                    1                    2      7
    99.0                                                              1
    98.5                                  2      5      4
    98.0                                         2      3
    97.5                                         3      1
    97.0                                  2      3      6
    96.0                                  2      8      4             1
    95.5                                                1
    95.0                                  2     12      7
    94.5                                  1      1      2
    94.0                                         2      3
    93.5                                         6      1
    92.5                                  2     14      9
    92.0                                         1      2
    91.5                           1      2      7      5
    91.0                                         4      7
    90.5                                         3      3
    90.0                                  2     12      8             1
    89.0                                        17      8
    88.5                                  2      1      2
    88.0                                  1      5                    1
    87.5                                  2      8      5
    87.0                                         3      2
    86.5                                  2      9     10
    86.0                                                2
    85.5                                  2      6      1
    85.0                                         4
    84.5                                         3      2
    84.0                                         7      5
    83.5                                         1
    83.0                                  1     18      6
    82.5                                  2      3      4
    82.0                                  1      3      3             1
    81.5                                         4      6
    81.0                                         6      1
    80.5                           1             3     13
    80.0                                         2      1
    79.5                                         9      6
    79.0                                  1      3      5
    78.5                                         3      3
    78.0                           1      1     10      5
    77.5                                         2      1
    77.0                                  2      9     10
    76.5                                         3      3             1
    76.0                                  1      2     10             1
    75.5                                         4      3
    75.0                                         4      2
    74.5                                  1      5      5
    73.5                                  1      7      1
    73.0                                         4
    72.5                                         1      3
    72.0                                         9      2
    71.0                                         4      3
    70.5                                  1      7
    70.0                                         5      1
    69.5                                                2
    69.0                                         1
    68.5                                                4             1
    68.0                                         1      1             1
    67.5                                  1      2      2             1
    67.0                                         5      3
    66.5                                         3      1
    66.0                                         7      6
    65.5                                         5      1             1
    65.0                           1             2      2
    64.5                                         3      1
    64.0                                  1      2
    63.5                                         2      1
    63.0                                  1      1
    62.5                                         2                    5
    62.0                                         1      1
    61.5                                         1      1
    61.0                                         2      1
    60.5                                         2
    60.0                                         3      1
    59.5                                         2      2
    59.0                                         1
    58.0                                         1
    57.5                                         1
    57.0                                         3      1
    56.5                                         2      1
    55.5                                         1
    55.0                                         1
    54.5                                         2
    54.0                                         1
    53.5                                         2
    53.0                                         2
    51.5                                                1
    51.0                                         1
    50.5                                         1
    49.5                                                1
    48.0                                                1
    47.5                                         1
    46.5                                                1
    44.0                                                              1
    43.0                                                1
    41.0                                         1
    40.5                                         1
    38.5                                                1
    36.0                                                1
    30.5                                                1
    23.0                                         1



                   American Mathematics Competitions
                   2005 AMC 12 B Results for North Carolina             
                              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    9.29*     0.15      0.23      0.07      0.16      0.11      0.00
      2    0.08      0.07      0.05      9.39*     0.13      0.28      0.00
      3    0.07      0.00      9.31*     0.13      0.27      0.23      0.00
      4    0.07      9.25*     0.12      0.11      0.12      0.32      0.01
      5    8.35*     0.03      0.53      0.07      0.03      1.00      0.00
      6    3.04*     0.83      0.51      0.32      0.21      5.09      0.00
      7    1.23      1.72      0.24      2.20*     0.43      4.19      0.00
      8    1.09      1.64      4.87*     0.04      0.89      1.47      0.00
      9    0.23      8.20*     0.37      0.32      0.15      0.73      0.00
     10    0.12      0.61      0.11      2.24      3.75*     3.17      0.00
     11    1.31      1.23      0.60      3.93*     0.39      2.55      0.00
     12    0.43      0.44      0.83      0.72*     0.09      7.48      0.01
     13    0.45      0.35      0.17      1.99*     0.21      6.83      0.00
     14    0.88      0.96      0.77      0.43      1.20*     5.76      0.00
     15    0.43      0.28      0.29      4.79*     0.56      3.65      0.00
     16    0.28      0.17      0.76      0.45*     0.28      8.05      0.00
     17    0.41      0.44*     0.37      0.16      0.64      7.97      0.00
     18    1.80      0.48      0.49*     0.19      0.27      6.77      0.00
     19    0.24      0.15      0.17      0.23      2.28*     6.93      0.00
     20    0.07      0.29      4.45*     0.55      2.01      2.63      0.00
     21    0.21      0.20      0.47*     0.36      0.15      8.61      0.00
     22    0.48      0.77      0.13      0.15      0.17*     8.29      0.00
     23    0.07      0.19*     0.09      0.09      0.05      9.51      0.00
     24    0.35*     0.21      0.28      0.31      0.23      8.63      0.00
     25    0.24*     0.31      0.20      0.29      0.27      8.69      0.00


   (*)  Correct Response

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