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                   American Mathematics Competitions
                   2006 AMC 10 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1523

      Number of unofficial participants:          0

      Average score of participants:           79.3

      Average score for female students  is:   77.3  (   676 Students)
      Average score for male students is:      81.0  (   783 Students)
      Average score for unspecified gender is  78.5  (    64 Students)
      Average score for grade 10 is:           81.4  (   623 Students)
      Average score for grade 9 is:            77.7  (   482 Students)
      Average score for grade 8 and below is:  78.2  (   396 Students)
      Average score with unknown grade:        74.9  (    22 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 26

        Number of schools returning results      60
        Average school winning score          109.23


                   American Mathematics Competitions
                   2006 AMC 12 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1689

      Number of unofficial participants:          0

      Average score of participants:           87.0

      Average score for female students  is:   83.7  (   738 Students)
      Average score for male students is:      89.7  (   868 Students)
      Average score for unspecified gender is  87.2  (    83 Students)
      Average score for grade 13 is:          118.5  (     1 Student) 
      Average score for grade 12 is:           88.1  (   743 Students)
      Average score for grade 11 is:           85.5  (   841 Students)
      Average score for grade 10 is:           92.1  (    70 Students)
      Average score for grade 9 is:            89.0  (     8 Students)
      Average score with unknown grade:        84.8  (    26 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                399

        Number of schools returning results      50
        Average school winning score          110.50
        Average school team score             312.99
 


                   American Mathematics Competitions
                   2006 AMC 10 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    822

      Number of unofficial participants:         18

      Average score of participants:           69.4

      Average score for female students  is:   63.9  (   382 Students)
      Average score for male students is:      75.0  (   375 Students)
      Average score for unspecified gender is  69.5  (    65 Students)
      Average score for grade 10 is:           72.5  (   394 Students)
      Average score for grade 9 is:            68.9  (   285 Students)
      Average score for grade 8 and below is:  62.4  (   127 Students)
      Average score with unknown grade:        55.0  (    16 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 14

        Number of schools returning results      35
        Average school winning score          109.91


                   American Mathematics Competitions
                   2006 AMC 12 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    749

      Number of unofficial participants:         10

      Average score of participants:           89.1

      Average score for female students  is:   84.5  (   278 Students)
      Average score for male students is:      92.1  (   430 Students)
      Average score for unspecified gender is  89.3  (    41 Students)
      Average score for grade 12 is:           90.0  (   338 Students)
      Average score for grade 11 is:           87.0  (   338 Students)
      Average score for grade 10 is:           94.0  (    52 Students)
      Average score for grade 9 is:           101.9  (     9 Students)
      Average score for grade 8 and below is: 101.4  (     5 Students)
      Average score with unknown grade:        84.6  (     7 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                179

        Number of schools returning results      38
        Average school winning score          110.76
        Average school team score             306.97
 
 


    2006 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    412.5         1                   1
    385.5                   1         2
    377.5         1                   3
    376.5                   1         4
    375.0         1                   5
    369.5         1                   6
    368.0                   1         7
    367.0         1                   8
    365.5         1                   9
    364.5                   1        10
    359.5         1                  11
    357.5                   1        12
    353.0         1                  13
    352.5                   1        14
    348.5                   1        15
    347.0         1                  16
    346.0         1                  17
    345.0                   1        18
    343.5         1                  19
    342.5         1                  20
    341.0                   1        21
    339.0                   1        22
    338.0                   1        23
    336.5         1                  24
    336.0                   1        25
    335.0         1                  26
    334.5                   1        27
    334.0         1                  28
    332.5         1                  29
    332.0         1                  30
    330.5         2                  31
    329.5         1                  33
    328.0         1                  34
    326.0                   1        35
    324.5                   1        36
    323.5                   1        37
    320.5                   1        38
    319.0                   1        39
    318.5         1                  40
    317.5         1         2        41
    317.0         1                  44
    316.5         1                  45
    314.5         1                  46
    313.0                   1        47
    311.5         1                  48
    311.0         1         1        49
    308.5                   1        51
    306.5         1                  52
    302.0         1                  53
    301.5                   1        54
    301.0                   1        55
    300.0         1                  56
    298.5         1                  57
    297.5                   1        58
    296.5         1                  59
    295.5         1                  60
    293.0                   2        61
    292.0         1         1        63
    290.5                   1        65
    289.5                   1        66
    285.0         1                  67
    284.5         1                  68
    283.0         1                  69
    281.5         3                  70
    281.0         1                  73
    278.5                   1        74
    274.0         1         1        75
    271.5         1                  77
    270.0                   1        78
    267.5                   1        79
    266.0                   1        80
    262.5         1                  81
    255.0         1                  82
    253.0         1                  83
    251.0         1                  84
    232.5         1                  85
    227.5         1                  86
    103.0                   1        87
     80.5                   1        88


         2006 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    150.0         1                   1
    146.5                                       2
    143.0                             2
    140.5                             1
    139.5                                       1
    138.0                             2
    137.0                             1         2
    136.0         1                   1
    134.5         1
    133.5         1                             1
    132.5                   1         1
    132.0                             1
    130.0                   2         1         3
    129.0                   2         1
    128.5                                       1
    127.5                                       1
    126.5         3         3         4
    125.5         3         1         1
    124.0         1
    123.0         2         3         2         1
    122.5                             1
    122.0         7         2         2         1
    121.5                             3
    120.5                             1
    120.0                                       1
    119.5         3         2         1         1
    119.0                             2
    118.5        12         6         1
    118.0                             2
    117.0         3         4         5         3
    116.5                             1
    116.0         8         4                   3
    115.5                                       1
    115.0        14         6         2
    114.5         1                   4         3
    113.5         6         5         6         3
    113.0                             1         1
    112.5        42         7         3         3
    112.0                             1
    111.5        12         6                   2
    111.0         1         4         3
    110.5                             1
    110.0        10         4         8         3
    109.5         1                   1
    109.0        31         7         4         2
    108.5         2         3         5         4
    108.0        13        13                   2
    107.5        11         1         8         2
    107.0                             1
    106.5        34         2         4         2
    106.0         2         2
    105.5        21        11         2         1
    105.0         5                   5         1
    104.5         6        11         1         1
    104.0        31         5         7         6
    103.5                             4
    103.0        39        15        13         3
    102.5         4                   5         2
    102.0        27        19         8
    101.5         5         1        10         5
    101.0        11        18         4         1
    100.5        24         9        14         7
    100.0                             4         1
     99.5        35        16        14         3
     99.0         7         2         7         1
     98.5        16        17         9         3
     98.0        26         3        19         7
     97.5         4         2         5         2
     97.0        39         9        12         5
     96.5                             7         1
     96.0        31        29        13         3
     95.5        17         1         9         2
     95.0        24        37        13         1
     94.5        37         2        18         5
     94.0         4         2        10
     93.5        38        14        19        10
     93.0         4         1         7
     92.5        21        25        11         3
     92.0        15                  16         6
     91.5         7         9         6
     91.0        34        10        20         9
     90.5         3         3         9         2
     90.0        39        23        21         6
     89.5         8         2        18         1
     89.0        24        34        15        11
     88.5        23         2        14         6
     88.0         5         8         9         3
     87.5        29        10        12
     87.0         6         2        10         4
     86.5        24        22        23         8
     86.0        15         2        13         6
     85.5         4        12        10         4
     85.0        35         5        16         9
     84.5         7         2        11         2
     84.0        31        13        31        14
     83.5        12                  11         3
     83.0        32        18        15         8
     82.5        26         3        18         2
     82.0         2         8         9         5
     81.5        16         4        19         7
     81.0        11         1        13         6
     80.5        21        13        25         8
     80.0         7         6        23         3
     79.5        16        13        15         9
     79.0        20                  26         6
     78.5         5         7        16
     78.0        26        10        27        10
     77.5        11         2        22         3
     77.0        24        17        16         3
     76.5        11         6         9         1
     76.0        17         9        15         6
     75.5        17         6        22        11
     75.0         3         2        14         5
     74.5        17         7        13        11
     74.0        19         4        12         6
     73.5        12         5        22        10
     73.0        12         3        16         6
     72.5        12         8        11         4
     72.0        17         8        27        13
     71.5        10                  16         2
     71.0        15         3        22         9
     70.5        12         1         9         9
     70.0         6         4        14        11
     69.5         8         4        16         8
     69.0         6         4        22         2
     68.5        18         4        11         7
     68.0        15         3        19         6
     67.5         7         1        14         6
     67.0         6         3        15         8
     66.5         5                  10         3
     66.0        12         5        31         9
     65.5         6         2        14         8
     65.0        13         4        10         9
     64.5        11         3        10         4
     64.0         2         4        11        10
     63.5         8         1        13         5
     63.0         6                   7         8
     62.5         6         4         5         9
     62.0         7         5        13         6
     61.5         7         1        16         2
     61.0         5                  13         7
     60.5         3                   9         7
     60.0        14         1        15        18
     59.5         4         1         7         6
     59.0         3         1         6         6
     58.5         3         1         7         4
     58.0         5         1         3         8
     57.5         4         3         7        10
     57.0         3                   9         4
     56.5         4         4         6        11
     56.0         4                   5         5
     55.5         1         2         5        13
     55.0         3         1         4         8
     54.5         2         2         3         2
     54.0         5         3        14        10
     53.5         1         2         7         7
     53.0         5                   6         9
     52.5         5         1         6         4
     52.0                   1         2        10
     51.5         4                   3         7
     51.0         2         2         4         6
     50.5         3                   4         7
     50.0         2                   3         6
     49.5         1                   2         3
     49.0         3                   2         3
     48.5                             1         2
     48.0         3         2        14        11
     47.5                   1         2         7
     47.0         1         1         2         4
     46.5                             2         3
     46.0                             2         3
     45.5                                       5
     45.0         1                   3         5
     44.5         1                             4
     44.0         2                   2         2
     43.5         1                   2         3
     43.0         1                   4         4
     42.5         1                             3
     42.0         8         3         7         9
     41.5                             1         2
     41.0                             1         2
     40.5         1                   1         2
     40.0         1                   2         1
     39.5                                       2
     39.0                             1         3
     38.5                             1         3
     38.0         1                             1
     37.5                             1         1
     37.0         1                             4
     36.5                   1         2         1
     36.0         5                   5         7
     35.5                                       1
     35.0                             1         1
     34.5                             2
     34.0                                       2
     33.5                                       3
     33.0                                       1
     32.5                   1                   2
     32.0                                       2
     31.5                                       3
     30.5         1
     30.0         4                   1         8
     28.5                                       2
     28.0                             1         1
     26.5                             1         2
     26.0                                       1
     25.5         1
     24.5                                       1
     24.0         2                             8
     23.5                                       2
     18.0                                       3
     17.0                                       1
     12.0                                       2
      6.0         1
                                      1



                   American Mathematics Competitions
                   2006 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      4
    149.5                      124.5                       99.5      7     7
    149.0                      124.0                       99.0      3     4
    148.5                      123.5                       98.5      4     5
    148.0                      123.0      1     1          98.0     12     7
    147.5                      122.5            1          97.5      4     1
    147.0                      122.0      2                97.0      7     4
    146.5                      121.5      3                96.5      6     1
    146.0                      121.0                       96.0     10     3
    145.5                      120.5            1          95.5      3     5
    145.0                      120.0                       95.0     10     3
    144.5                      119.5      1                94.5      6    10
    144.0                      119.0      2                94.0      4     4
    143.5                      118.5      1                93.5      8    10
    143.0      2               118.0      1     1          93.0      3     3
    142.5                      117.5                       92.5      7     4
    142.0                      117.0      2     3          92.0     10     6
    141.5                      116.5            1          91.5      2     4
    141.0                      116.0                       91.0     12     7
    140.5      1               115.5                       90.5      2     7
    140.0                      115.0      1     1          90.0      8    12
    139.5                      114.5      1     2          89.5     11     6
    139.0                      114.0                       89.0      9     6
    138.5                      113.5      5     1          88.5      9     5
    138.0      1     1         113.0            1          88.0      5     4
    137.5                      112.5      2     1          87.5      6     5
    137.0            1         112.0            1          87.0      3     6
    136.5                      111.5                       86.5      6    15
    136.0      1               111.0      1     2          86.0      9     4
    135.5                      110.5      1                85.5      6     4
    135.0                      110.0      8                85.0     11     5
    134.5                      109.5      1                84.5      6     5
    134.0                      109.0      3     1          84.0     17    13
    133.5                      108.5      3     2          83.5      8     2
    133.0                      108.0                       83.0      6     8
    132.5                      107.5      7     1          82.5      9     9
    132.0      1               107.0            1          82.0      4     5
    131.5                      106.5      2     2          81.5     10     9
    131.0                      106.0                       81.0      7     5
    130.5                      105.5      1     1          80.5     12    13
    130.0      1               105.0      4     1          80.0     15     7
    129.5                      104.5      1                79.5      8     6
    129.0      1               104.0      6     1          79.0     14    11
    128.5                      103.5            4          78.5     11     5
    128.0                      103.0     10     2          78.0     13    12
    127.5                      102.5      4     1          77.5      8    12
    127.0                      102.0      4     3          77.0      7     9
    126.5      3     1         101.5      6     4          76.5      5     3
    126.0                      101.0      2     1          76.0      4     9
    125.5      1               100.5      8     5          75.5      8    12



                   American Mathematics Competitions
                   2006 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   150.0                                  1
   143.0                    1      1
   140.5             1
   138.0             1                    1
   137.0             1
   136.0                                  1
   132.5                                  1
   132.0                                  1
   130.0                           1
   129.0                           1
   126.5                                  4
   125.5                                  1
   123.0                           1      1
   122.5                                  1
   122.0                           1      1
   121.5                                  3
   120.5                           1
   119.5                           1
   119.0                                  2
   118.5                                  1
   118.0                                  2
   117.0                    2             3
   116.5             1
   115.0                           2
   114.5             1             1      1      1
   113.5                           2      4
   113.0                                  1
   112.5                    1      1      1
   112.0                                  1
   111.0                           2      1
   110.5                                  1
   110.0             1                    7
   109.5                                  1
   109.0                           2      2
   108.5             1      1             3
   107.5                    2      2      4
   107.0                           1
   106.5                           1      3
   105.5                           1      1
   105.0                           2      3
   104.5                    1
   104.0                    1      3      3
   103.5                           2      2
   103.0             1      3      2      7
   102.5                    1             3      1
   102.0                    3      1      3      1
   101.5             1      3      2      4
   101.0                           1      3
   100.5                    3      6      5
   100.0                    1      2      1
    99.5                    5      4      5
    99.0                    1      3      3
    98.5             2      1      2      4
    98.0             2      4      4      9
    97.5                    1      3      1
    97.0             1      2      4      5
    96.5             1      1      1      4
    96.0                    1      5      7
    95.5             1      1      3      3      1
    95.0             2      2      6      3
    94.5                    2     10      6
    94.0                           5      5
    93.5                          10      9
    93.0             1      1      3      2
    92.5                           3      8
    92.0                    1      6      9
    91.5                    2      1      3
    91.0      1      2      3      7      7
    90.5             1      1      3      4
    90.0             2      4      5     10
    89.5             2      1      7      8
    89.0             3      3      5      4
    88.5             2      2      3      6      1
    88.0                    1      7      1
    87.5             1      1      3      6      1
    87.0             1      2      2      5
    86.5                    6     10      6      1
    86.0      1      1      1      3      7
    85.5             2      1      5      2
    85.0                    5      4      7
    84.5                    4      3      4
    84.0             3      6     13      9
    83.5             2      4      1      3      1
    83.0                    1      3     10      1
    82.5             1      8      4      5
    82.0             2      1      2      4
    81.5             1      2      5     11
    81.0                    2      6      5
    80.5             1      5      5     14
    80.0      2      2      6      4      9
    79.5                    5      4      6
    79.0      1      1      9      4     11
    78.5             1      1      5      9
    78.0             3      7      9      7      1
    77.5             2      6      7      7
    77.0             2      3      4      7
    76.5             1             3      5
    76.0      1             4      4      6
    75.5             1      9      5      7
    75.0             1      4      3      6
    74.5             1      1      7      4
    74.0      1      1      3      2      5
    73.5      2             4      8      8
    73.0      1             3      7      5
    72.5      1      1      3      2      4
    72.0             1      7      7     10      2
    71.5                    7      3      6
    71.0             2      8      4      8
    70.5                    2      3      4
    70.0                    2      5      7
    69.5                    1      5     10
    69.0                    6      4     12
    68.5      1      2      4      1      3
    68.0                    2      7     10
    67.5                    3      5      6
    67.0      1             1      8      5
    66.5                    2      4      4
    66.0                   10      9     11      1
    65.5                    5      4      5
    65.0                           3      7
    64.5             1      2      2      3      2
    64.0             1      2      7      1
    63.5                    4      4      4      1
    63.0                    3      1      3
    62.5                    1             4
    62.0             1      4      4      3      1
    61.5      1             5      5      5
    61.0             1      4      3      5
    60.5                    4      2      3
    60.0                    5      5      4      1
    59.5             1      4      1      1
    59.0                    2      2      2
    58.5                    1      3      3
    58.0                           1      2
    57.5                           5      2
    57.0                    1      3      5
    56.5                           3      2      1
    56.0                           3      1      1
    55.5                    2      2      1
    55.0                           2      2
    54.5                           1      2
    54.0                    7      3      4
    53.5                           4      3
    53.0                    1      2      3
    52.5                           4      2
    52.0                                  2
    51.5                           1      2
    51.0                    1      1      2
    50.5                    1      2      1
    50.0                    1      2
    49.5                           1      1
    49.0                           1      1
    48.5                                  1
    48.0      1             4      6      2      1
    47.5                    1      1
    47.0                                  2
    46.5                           2
    46.0                           1      1
    45.0                    1      2
    44.0                    1      1
    43.5                    1             1
    43.0                           2      2
    42.0                    1      2      3      1
    41.5             1
    41.0                                  1
    40.5                           1
    40.0             1             1
    39.0                           1
    38.5             1
    37.5                                  1
    36.5                           1      1
    36.0             1             4
    35.0                           1
    34.5                           1      1
    30.0                           1
    28.0                           1
    26.5                                  1
                                   1



                   American Mathematics Competitions
                   2006 AMC 10 A Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2006
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    9.91*     0.01      0.04      0.02      0.00      0.01      0.01
      2    1.54      0.22      3.09*     0.12      1.81      3.22      0.01
      3    0.05      8.77*     0.06      0.03      1.00      0.09      0.01
      4    2.02      0.11      0.07      0.17      7.07*     0.54      0.01
      5    0.21      0.97      1.09      7.15*     0.18      0.40      0.01
      6    0.19      8.61*     0.26      0.08      0.03      0.84      0.00
      7    7.43*     0.11      0.32      0.30      0.20      1.65      0.01
      8    1.00      0.40      0.53      0.18      2.03*     5.85      0.01
      9    1.59      1.32      5.86*     0.30      0.18      0.75      0.01
     10    0.32      0.19      0.90      2.67      1.02*     4.89      0.02
     11    1.88      1.25      1.24*     0.83      0.95      3.83      0.01
     12    0.83      0.50      4.62*     1.04      0.37      2.61      0.01
     13    0.29      0.95      0.29      5.60*     0.16      2.70      0.01
     14    1.64      4.02*     0.24      0.84      0.75      2.50      0.01
     15    0.85      0.52      0.39      1.59*     0.53      6.10      0.01
     16    0.28      0.30      0.35      0.52*     0.76      7.78      0.01
     17    2.14*     0.32      0.30      0.64      0.26      6.33      0.01
     18    1.94      0.19      2.92*     0.32      0.20      4.42      0.01
     19    0.47      1.74      0.91*     0.28      0.28      6.32      0.01
     20    0.53      1.18      0.47      0.49      0.63*     6.67      0.02
     21    0.77      0.65      0.49      0.64      1.20*     6.24      0.01
     22    0.13      0.88      3.70*     3.41      0.79      1.08      0.01
     23    0.56      1.87*     0.33      0.26      0.79      6.17      0.01
     24    0.91      0.44*     0.34      0.31      0.38      7.61      0.01
     25    2.28      0.93      0.58*     0.45      0.26      5.50      0.01


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2006 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0      1               125.0                      100.0
    149.5                      124.5                       99.5     23    11
    149.0                      124.0                       99.0      3     3
    148.5                      123.5                       98.5      5     6
    148.0                      123.0      2                98.0     18     8
    147.5                      122.5                       97.5            4
    147.0                      122.0      6     1          97.0     16    20
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0     18    11
    145.5                      120.5                       95.5     11     5
    145.0                      120.0                       95.0     15     8
    144.5                      119.5      3                94.5     23    14
    144.0                      119.0                       94.0      1     3
    143.5                      118.5     10     2          93.5     20    16
    143.0                      118.0                       93.0      2     2
    142.5                      117.5                       92.5     12     8
    142.0                      117.0      2     1          92.0     10     4
    141.5                      116.5                       91.5      2     5
    141.0                      116.0      6     2          91.0     14    18
    140.5                      115.5                       90.5      2     1
    140.0                      115.0     12     1          90.0     20    14
    139.5                      114.5            1          89.5      2     5
    139.0                      114.0                       89.0     13     9
    138.5                      113.5      5     1          88.5     12    11
    138.0                      113.0                       88.0      3     2
    137.5                      112.5     23    15          87.5     18    11
    137.0                      112.0                       87.0      2     3
    136.5                      111.5      6     6          86.5      9    11
    136.0      1               111.0            1          86.0      8     6
    135.5                      110.5                       85.5      2     2
    135.0                      110.0      7     3          85.0     13    20
    134.5      1               109.5      1                84.5      4     2
    134.0                      109.0     21     9          84.0     19    11
    133.5      1               108.5      2                83.5      7     5
    133.0                      108.0      6     6          83.0     17    13
    132.5                      107.5      7     4          82.5     13    13
    132.0                      107.0                       82.0            2
    131.5                      106.5     21     9          81.5      3    12
    131.0                      106.0      1     1          81.0      4     7
    130.5                      105.5     10    11          80.5     11     8
    130.0                      105.0      5                80.0      4     3
    129.5                      104.5      3     3          79.5      7     8
    129.0                      104.0     20    11          79.0     13     7
    128.5                      103.5                       78.5      2     3
    128.0                      103.0     24    14          78.0      9    16
    127.5                      102.5      3                77.5      5     4
    127.0                      102.0     19     8          77.0     12    12
    126.5      3               101.5      2     3          76.5      5     6
    126.0                      101.0      6     5          76.0      9     7
    125.5      2     1         100.5     12    10          75.5      9     8



                   American Mathematics Competitions
                   2006 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   150.0                                         1
   136.0                                         1
   134.5                                  1
   133.5                                         1
   126.5                                  1      1      1
   125.5                                         1      2
   124.0                                                1
   123.0                                         1      1
   122.0                                         3      4
   119.5                                  1      1      1
   118.5                                  1      6      4      1
   117.0                                  1      1      1
   116.0                                         5      3
   115.0                                  1      7      6
   114.5                                                1
   113.5                                         3      3
   112.5                                        16     25             1
   111.5                                         5      7
   111.0                                                1
   110.0                           1             5      4
   109.5                                                1
   109.0                                  4     10     16             1
   108.5                                  1             1
   108.0                                  1      4      8
   107.5                                         5      6
   106.5                           1      2     17     13             1
   106.0                                         1      1
   105.5                                  3      7     11
   105.0                                         4      1
   104.5                                         3      3
   104.0                                  1     17     13
   103.0                                  1     16     21             1
   102.5                                         3      1
   102.0                                  2     10     15
   101.5                                                5
   101.0                                         5      5             1
   100.5                                  3     10     11
    99.5                                  1     20     13             1
    99.0                                  1      1      5
    98.5                                  1      9      5             1
    98.0                                  1     13     12
    97.5                                         1      3
    97.0                                        16     22             1
    96.0                                  2      9     19             1
    95.5                                  1      7      9
    95.0                           1      1     10     12
    94.5                           1      1     18     17
    94.0                                  1      2      1
    93.5                                        18     20
    93.0                                         3      1
    92.5                                  2     11      8
    92.0                                  1      9      5
    91.5                                         4      3
    91.0                                        15     18             1
    90.5                                         2      1
    90.0                                  3     19     16             1
    89.5                                         2      6
    89.0                                        14      9             1
    88.5                                  1     10     12
    88.0                                  1      2      2
    87.5                                  1     14     14
    87.0                                         5      1
    86.5                                  3     11      8             2
    86.0                                        10      5
    85.5                                  1      1      2
    85.0                                  1     18     16
    84.5                                         5      2
    84.0                                  3     19      8             1
    83.5                                  1     10      1
    83.0                                  1     21     10
    82.5                                  1     13     12
    82.0                                         1      1
    81.5                                         5     11
    81.0                                         6      5
    80.5                           1            12      7             1
    80.0                                         3      4
    79.5                                        11      5
    79.0                                        15      5
    78.5                                         2      3
    78.0                           1            17      8
    77.5                                  1      4      6
    77.0                           1      1     10     11             1
    76.5                                  1      6      4
    76.0                                  1      8      7             1
    75.5                                  2      5     10
    75.0                                         2      1
    74.5                                  1     10      6
    74.0                                        11      7             1
    73.5                                         7      4             1
    73.0                                         7      5
    72.5                                         7      4             1
    72.0                                         9      8
    71.5                                         4      6
    71.0                                        11      3             1
    70.5                           1             9      2
    70.0                                         2      4
    69.5                                         5      3
    69.0                                         4      2
    68.5                                  2     10      6
    68.0                                  1      5      9
    67.5                                         5      1             1
    67.0                                  1      2      3
    66.5                                         3      2
    66.0                                         7      5
    65.5                                  2      1      3
    65.0                                         8      4             1
    64.5                                         7      4
    64.0                                         1      1
    63.5                                         2      6
    63.0                                  1      3      2
    62.5                                         5      1
    62.0                                         5      2
    61.5                                         3      3             1
    61.0                                         3      2
    60.5                                         2      1
    60.0                                        10      4
    59.5                                         2      2
    59.0                                         1      2
    58.5                                  1      2
    58.0                                         2      3
    57.5                                         3      1
    57.0                                         2      1
    56.5                                         3      1
    56.0                                         2      2
    55.5                                  1
    55.0                                         1      2
    54.5                                         1      1
    54.0                                         2      3
    53.5                                         1
    53.0                                         1      4
    52.5                                         2      3
    51.5                                         2      2
    51.0                                                2
    50.5                                         1      2
    50.0                                         1      1
    49.5                                         1
    49.0                                         2      1
    48.0                                         2      1
    47.0                                         1
    45.0                                                1
    44.5                                         1
    44.0                                         2
    43.5                                         1
    43.0                                         1
    42.5                                         1
    42.0                                         4      4
    40.5                                         1
    40.0                                                1
    38.0                                                1
    37.0                                                1
    36.0                                         3      1             1
    30.5                                         1
    30.0                                         2      2
    25.5                                         1
    24.0                                         1      1
     6.0                                                1



                   American Mathematics Competitions
                   2006 AMC 12 A Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2006
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    9.92*     0.02      0.04      0.01      0.00      0.01      0.00
      2    1.84      0.14      5.48*     0.07      0.50      1.97      0.01
      3    0.05      9.08*     0.02      0.04      0.76      0.05      0.01
      4    1.39      0.10      0.07      0.11      8.10*     0.23      0.01
      5    0.17      0.61      0.81      8.02*     0.11      0.29      0.01
      6    7.47*     0.11      0.30      0.22      0.27      1.62      0.01
      7    0.57      5.75*     0.86      0.47      0.37      1.97      0.01
      8    0.93      1.24      6.94*     0.22      0.11      0.55      0.01
      9    8.32*     0.12      0.05      0.07      0.34      1.10      0.01
     10    0.22      0.13      0.73      3.51      2.30*     3.10      0.01
     11    1.49      1.00      2.61*     0.88      0.57      3.44      0.01
     12    1.44      5.62*     0.14      0.65      0.29      1.85      0.01
     13    0.52      0.10      0.22      0.05      5.86*     3.24      0.01
     14    0.07      0.52      5.25*     2.33      0.28      1.55      0.01
     15    3.79*     1.45      0.22      0.56      1.43      2.54      0.01
     16    0.25      4.30*     0.14      0.19      0.57      4.55      0.01
     17    0.43      0.55*     0.47      0.39      0.11      8.05      0.01
     18    1.37      0.09      0.29      0.64      0.44*     7.16      0.01
     19    0.14      0.09      0.15      0.17      0.25*     9.19      0.01
     20    1.83      0.59      0.56*     0.29      0.18      6.54      0.01
     21    0.08      0.12      0.34      0.15      0.15*     9.14      0.01
     22    0.15      0.11      0.15      0.14*     0.06      9.38      0.01
     23    0.07      0.12*     0.13      0.12      0.21      9.35      0.01
     24    0.86      0.14      0.17      0.23*     0.17      8.43      0.01
     25    0.12      0.16      0.17      0.16      0.12*     9.27      0.01


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2006 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            1
    149.5                      124.5                       99.5      2
    149.0                      124.0                       99.0            1
    148.5                      123.5                       98.5      2     1
    148.0                      123.0      1                98.0      4     3
    147.5                      122.5                       97.5      1     1
    147.0                      122.0            1          97.0      3     1
    146.5      2               121.5                       96.5      1
    146.0                      121.0                       96.0      3
    145.5                      120.5                       95.5            1
    145.0                      120.0      1                95.0      1
    144.5                      119.5      1                94.5      3     2
    144.0                      119.0                       94.0
    143.5                      118.5                       93.5      6     4
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      2
    142.0                      117.0      3                92.0      5
    141.5                      116.5                       91.5
    141.0                      116.0      2                91.0      5     3
    140.5                      115.5      1                90.5      2
    140.0                      115.0                       90.0      3     3
    139.5            1         114.5      2     1          89.5      1
    139.0                      114.0                       89.0      5     6
    138.5                      113.5      2     1          88.5      2     3
    138.0                      113.0      1                88.0      1     2
    137.5                      112.5      1     1          87.5
    137.0            1         112.0                       87.0      2     2
    136.5                      111.5      2                86.5      6     1
    136.0                      111.0                       86.0      2     3
    135.5                      110.5                       85.5      3     1
    135.0                      110.0      2     1          85.0      5     3
    134.5                      109.5                       84.5      2
    134.0                      109.0            1          84.0      8     5
    133.5      1               108.5      3                83.5      1     2
    133.0                      108.0      1     1          83.0      6     1
    132.5                      107.5      1                82.5      1     1
    132.0                      107.0                       82.0      2     2
    131.5                      106.5      2                81.5      3     3
    131.0                      106.0                       81.0      4     2
    130.5                      105.5            1          80.5      4     2
    130.0      3               105.0      1                80.0      3
    129.5                      104.5      1                79.5      6     3
    129.0                      104.0      5     1          79.0            5
    128.5                      103.5                       78.5
    128.0                      103.0      2     1          78.0      4     5
    127.5      1               102.5      2                77.5      1     2
    127.0                      102.0                       77.0      1     2
    126.5                      101.5      4     1          76.5      1
    126.0                      101.0            1          76.0      4     2
    125.5                      100.5      4     3          75.5      4     6



                   American Mathematics Competitions
                   2006 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   146.5                           1      1
   139.5                                  1
   137.0             1                    1
   133.5                                  1
   130.0                                  3
   128.5                                  1
   127.5                           1
   123.0                                  1
   122.0                           1
   120.0                           1
   119.5                           1
   117.0             1      1             1
   116.0                           1      2
   115.5             1
   114.5             1             2
   113.5                                  3
   113.0                           1
   112.5                           2      1
   111.5                           1      1
   110.0                    1             2
   109.0                           1      1
   108.5                           3      1
   108.0                           1      1
   107.5                           1      1
   106.5                           2
   105.5                                  1
   105.0                           1
   104.5                                  1
   104.0                                  6
   103.0                                  3
   102.5                                  2
   101.5                           3      2
   101.0                                  1
   100.5                    1      1      5
   100.0                                  1
    99.5                           1      2
    99.0                           1
    98.5                           2      1
    98.0             1      1      3      2
    97.5                           2
    97.0                           2      3
    96.5             1
    96.0                           2      1
    95.5                           1      1
    95.0                                  1
    94.5                    1      3      1
    93.5                           1      9
    92.5                    1             2
    92.0                    1      3      2
    91.0                    1      5      3
    90.5                           1      1
    90.0                           3      3
    89.5                                  1
    89.0                    1      2      8
    88.5                           3      3
    88.0                    1             2
    87.0                    1      3
    86.5                           1      7
    86.0                    1      1      4
    85.5                    1      1      2
    85.0                           5      4
    84.5                    1             1
    84.0                    3      3      8
    83.5                    1             2
    83.0                    2      3      3
    82.5                           1      1
    82.0                           2      3
    81.5                    1      1      4      1
    81.0                    1             5
    80.5                    1      2      4      1
    80.0                           1      2
    79.5                    1      6      2
    79.0                           2      4
    78.0                           3      6      1
    77.5                           1      2
    77.0                                  3
    76.5                                  1
    76.0                    1      3      2
    75.5                    2      3      6
    75.0                    1      1      3
    74.5                    4      3      4
    74.0                    1      1      2      2
    73.5                           4      6
    73.0                           4      2
    72.5                                  4
    72.0                    2      5      5      1
    71.5                           1      1
    71.0                           3      6
    70.5                    2      1      6
    70.0      1             2      1      7
    69.5                    1      2      5
    69.0                           1      1
    68.5                           1      6
    68.0                    1      2      3
    67.5                    4      1      1
    67.0                           4      4
    66.5                    1      1      1
    66.0                           4      5
    65.5                           3      5
    65.0                    3      3      3
    64.5                    1      2      1
    64.0                    2      5      3
    63.5                    1      1      3
    63.0                    2      3      3
    62.5                    1      3      5
    62.0                           3      3
    61.5                    1             1
    61.0                           7
    60.5                    1      2      4
    60.0                    5      5      8
    59.5                    1      3      2
    59.0                           1      5
    58.5                    1      1      2
    58.0                    1      5      2
    57.5                    1      2      7
    57.0                           2      1      1
    56.5                    1      5      5
    56.0      1             1      2      1
    55.5             1             2     10
    55.0                    1      5      2
    54.5                    1      1
    54.0                    2      1      7
    53.5                           4      2      1
    53.0                    2      3      4
    52.5                           1      3
    52.0                    1      5      4
    51.5                           4      3
    51.0                           4      2
    50.5                           3      3      1
    50.0                    1             5
    49.5             1                    2
    49.0                           1      1      1
    48.5                           2
    48.0                    2      6      2      1
    47.5      1             1      3      1      1
    47.0                           2      2
    46.5                    1      1      1
    46.0                                  3
    45.5                    1      1      3
    45.0                    1      3      1
    44.5                    1      3
    44.0                    2
    43.5                    2             1
    43.0             1             2      1
    42.5                    2      1
    42.0                    6      1      2
    41.5                    1      1
    41.0                           1      1
    40.5                           1      1
    40.0                           1
    39.5                    1             1
    39.0                    1             2
    38.5                           3
    38.0                           1
    37.5                                  1
    37.0                           2      2
    36.5                                  1
    36.0             1      2      1      2      1
    35.5                                  1
    35.0                           1
    34.0                           1      1
    33.5                    1      2
    33.0                                  1
    32.5                           2
    32.0                           1      1
    31.5                           1      2
    30.0                    4             3      1
    28.5                           1      1
    28.0                    1
    26.5                           1      1
    26.0                           1
    24.5                                  1
    24.0                    3      1      2      2
    23.5                           2
    18.0                    2      1
    17.0                    1
    12.0                    1             1



                   American Mathematics Competitions
                   2006 AMC 10 B Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2006
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.61      0.40      5.94*     1.97      0.67      0.41      0.00
      2    6.05*     0.72      0.13      0.21      0.43      2.47      0.00
      3    8.21*     0.24      0.05      1.11      0.28      0.11      0.00
      4    1.58      1.62      0.39      3.50*     1.98      0.92      0.00
      5    0.78      5.00*     2.20      0.44      0.17      1.41      0.00
      6    0.40      0.24      3.31      3.81*     0.43      1.80      0.01
      7    2.97*     1.37      1.42      0.96      0.72      2.54      0.01
      8    1.86      1.45*     0.51      1.39      0.74      4.05      0.00
      9    0.06      7.97*     0.24      0.11      0.94      0.68      0.00
     10    3.04*     0.61      1.42      0.21      2.34      2.38      0.00
     11    0.33      0.68      3.30*     0.72      0.36      4.61      0.00
     12    0.40      0.38      0.29      0.71      4.78*     3.44      0.00
     13    0.89      0.32      2.27      1.17      2.83*     2.52      0.00
     14    0.26      0.27      0.44      1.28*     0.16      7.60      0.00
     15    0.73      0.52      1.97*     0.30      0.50      5.97      0.00
     16    2.25      0.44      2.08      0.97      1.84*     2.42      0.00
     17    2.41      1.40      1.53      2.74*     0.17      1.75      0.00
     18    0.58      0.57      1.16      0.38      0.99*     6.33      0.00
     19    0.56*     0.69      0.34      0.21      0.39      7.81      0.00
     20    0.45      0.44      0.41      0.71      1.14*     6.85      0.00
     21    0.64      0.33      1.12*     2.13      0.58      5.19      0.00
     22    0.41      0.72      2.36      1.06*     0.13      5.32      0.00
     23    0.28      0.91      0.51      0.47*     0.32      7.51      0.00
     24    0.28      1.35*     0.89      0.46      0.33      6.69      0.00
     25    0.24      2.64*     0.33      2.08      0.38      4.33      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
                   2006 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      9     6
    149.0                      124.0                       99.0      2
    148.5                      123.5                       98.5     11     6
    148.0                      123.0      3                98.0      3
    147.5                      122.5                       97.5            2
    147.0                      122.0      2                97.0      4     4
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0     18    10
    145.5                      120.5                       95.5      1
    145.0                      120.0                       95.0     21    14
    144.5                      119.5      2                94.5      2
    144.0                      119.0                       94.0      1     1
    143.5                      118.5      5     1          93.5     10     4
    143.0                      118.0                       93.0      1
    142.5                      117.5                       92.5     16     8
    142.0                      117.0            4          92.0
    141.5                      116.5                       91.5      3     5
    141.0                      116.0      3     1          91.0      7     2
    140.5                      115.5                       90.5      1     2
    140.0                      115.0      4     1          90.0     11     9
    139.5                      114.5                       89.5            1
    139.0                      114.0                       89.0     19    13
    138.5                      113.5      5                88.5      1
    138.0                      113.0                       88.0      4     4
    137.5                      112.5      6                87.5      6     4
    137.0                      112.0                       87.0            2
    136.5                      111.5      3     3          86.5     13     8
    136.0                      111.0      3     1          86.0      1     1
    135.5                      110.5                       85.5      4     6
    135.0                      110.0      3                85.0      4     1
    134.5                      109.5                       84.5      2
    134.0                      109.0      5     2          84.0      7     5
    133.5                      108.5      3                83.5
    133.0                      108.0      9     3          83.0     10     7
    132.5      1               107.5      1                82.5      3
    132.0                      107.0                       82.0      3     4
    131.5                      106.5      2                81.5      3     1
    131.0                      106.0      2                81.0            1
    130.5                      105.5      7     2          80.5      8     5
    130.0      2               105.0                       80.0      4     2
    129.5                      104.5      7     3          79.5      7     4
    129.0      2               104.0      3     2          79.0
    128.5                      103.5                       78.5      5     2
    128.0                      103.0     11     2          78.0      5     4
    127.5                      102.5                       77.5            2
    127.0                      102.0     14     5          77.0      9     7
    126.5      2     1         101.5      1                76.5      1     5
    126.0                      101.0     14     3          76.0      3     5
    125.5      1               100.5      6     3          75.5      1     4



                   American Mathematics Competitions
                   2006 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          50.0                       25.0
     74.5      3     4          49.5                       24.5
     74.0      1     3          49.0                       24.0
     73.5      2     3          48.5                       23.5
     73.0      1     2          48.0            2          23.0
     72.5      2     6          47.5      1                22.5
     72.0      6     2          47.0      1                22.0
     71.5                       46.5                       21.5
     71.0      1     2          46.0                       21.0
     70.5            1          45.5                       20.5
     70.0      2     2          45.0                       20.0
     69.5            4          44.5                       19.5
     69.0      2     2          44.0                       19.0
     68.5      2     2          43.5                       18.5
     68.0      2     1          43.0                       18.0
     67.5      1                42.5                       17.5
     67.0      1     2          42.0      1     2          17.0
     66.5                       41.5                       16.5
     66.0      4     1          41.0                       16.0
     65.5      2                40.5                       15.5
     65.0      3     1          40.0                       15.0
     64.5      2                39.5                       14.5
     64.0            3          39.0                       14.0
     63.5            1          38.5                       13.5
     63.0                       38.0                       13.0
     62.5      2     2          37.5                       12.5
     62.0      2     3          37.0                       12.0
     61.5      1                36.5            1          11.5
     61.0                       36.0                       11.0
     60.5                       35.5                       10.5
     60.0            1          35.0                       10.0
     59.5      1                34.5                        9.5
     59.0            1          34.0                        9.0
     58.5      1                33.5                        8.5
     58.0            1          33.0                        8.0
     57.5      2     1          32.5            1           7.5
     57.0                       32.0                        7.0
     56.5      1     2          31.5                        6.5
     56.0                       31.0                        6.0
     55.5      1     1          30.5                        5.5
     55.0            1          30.0                        5.0
     54.5            2          29.5                        4.5
     54.0      1     1          29.0                        4.0
     53.5            2          28.5                        3.5
     53.0                       28.0                        3.0
     52.5            1          27.5                        2.5
     52.0            1          27.0                        2.0
     51.5                       26.5                        1.5
     51.0      2                26.0                        1.0
     50.5                       25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2006 AMC 12 B Results for North Carolina             
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   132.5                                         1
   130.0                           1             1
   129.0                                         1      1
   126.5                                  1             2
   125.5                                         1
   123.0                                         1      2
   122.0                                         1      1
   119.5                                         1      1
   118.5                                         3      3
   117.0                                  1      1      2
   116.0                                         1      3
   115.0                                  1      2      3
   113.5             1                    1             3
   112.5                           2             2      3
   111.5                                  1      2      3
   111.0                           1             3
   110.0                           1             1      1             1
   109.0                                  2      2      3
   108.5                                  1      1      1
   108.0                                         3     10
   107.5                                         1
   106.5                                         1      1
   106.0                                                2
   105.5                                         1     10
   104.5                                         6      5
   104.0                                  1      3      1
   103.0                                  1      6      8
   102.0             1      1             2      6      9
   101.5                                                1
   101.0                                  1      6     11
   100.5                    1             2      4      2
    99.5                                  2      5      8             1
    99.0                                         2
    98.5                                  4      7      6
    98.0                                         3
    97.5                                                2
    97.0                                         2      7
    96.0                                  3     20      6
    95.5                                         1
    95.0                                  5     12     20
    94.5                                  1      1
    94.0                                         1      1
    93.5                                  2      8      4
    93.0                                         1
    92.5                           1      1      7     16
    91.5                                         7      2
    91.0                           1      2      4      3
    90.5                                         1      2
    90.0                                  1     10     12
    89.5                                         1      1
    89.0      1                    1            20     12
    88.5                                  1                           1
    88.0                                         3      5
    87.5                                  1      4      5
    87.0                                         1      1
    86.5                                  1      8     13
    86.0                                         1      1
    85.5                                  1      4      6             1
    85.0                                  1      1      3
    84.5                                         2
    84.0                                         4      8             1
    83.0                                         8     10
    82.5                                         1      2
    82.0                                  1      5      2
    81.5                                         3      1
    81.0                                  1
    80.5                                        10      3
    80.0                                  1      3      2
    79.5                                  2      6      5
    78.5                                         4      3
    78.0                                         6      4
    77.5                                         1      1
    77.0                                  2      9      6
    76.5                                         6
    76.0                                         7      2
    75.5                                         2      4
    75.0                                         1      1
    74.5                                         3      4
    74.0                                         3      1
    73.5                                         4      1
    73.0                                  1      2
    72.5                                  1      2      5
    72.0                                         3      5
    71.0                                                3
    70.5                                         1
    70.0                                         1      3
    69.5                                         1      3
    69.0                           1             2      1
    68.5                                         2      2
    68.0                                         1      1             1
    67.5                                         1
    67.0                                         2      1
    66.0                                         2      3
    65.5                                         2
    65.0                                         1      3
    64.5                                  1             2
    64.0                                  1      3
    63.5                                         1
    62.5                                         2      2
    62.0                                         4      1
    61.5                                         1
    60.0                                         1
    59.5                                         1
    59.0                                         1
    58.5                                         1
    58.0                                         1
    57.5                                         3
    56.5                                         2      1             1
    55.5                                                2
    55.0                                                1
    54.5                                                2
    54.0                                                3
    53.5                                                2
    52.5                                                1
    52.0                                         1
    51.0                                         1      1
    48.0                                         2
    47.5                                                1
    47.0                                         1
    42.0                                         2      1
    36.5                                         1
    32.5                                         1



                   American Mathematics Competitions
                   2006 AMC 12 B Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2006
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.20      0.19      8.84*     0.55      0.19      0.04      0.00
      2    8.77*     0.32      0.01      0.04      0.25      0.60      0.00
      3    8.88*     0.13      0.01      0.60      0.29      0.08      0.00
      4    9.24*     0.27      0.16      0.20      0.01      0.12      0.00
      5    7.78*     0.73      0.16      0.17      0.19      0.96      0.00
      6    0.08      9.24*     0.01      0.05      0.32      0.29      0.00
      7    0.23      8.84*     0.27      0.36      0.07      0.24      0.00
      8    0.15      0.12      0.16      0.31      7.94*     1.32      0.00
      9    0.43      5.51*     0.33      0.69      0.37      2.66      0.00
     10    3.87*     0.57      0.99      0.16      2.43      1.98      0.00
     11    0.48      0.12      0.96      1.01      5.29*     2.14      0.00
     12    0.43      0.51      0.53      1.30*     0.60      6.64      0.00
     13    0.68      0.51      2.74*     0.20      0.44      5.43      0.00
     14    0.16      0.33      2.12      2.20*     0.05      5.13      0.00
     15    0.08      2.58*     1.00      0.33      0.21      5.79      0.00
     16    0.17      0.11      1.30*     0.21      0.25      7.94      0.01
     17    0.64      0.25      1.78*     1.07      0.32      5.94      0.00
     18    0.41      0.95*     1.28      0.31      0.15      6.90      0.00
     19    0.12      2.51*     0.09      1.32      0.25      5.70      0.00
     20    0.16      0.12      0.31*     0.23      0.51      8.68      0.00
     21    0.15      0.11      0.17*     0.07      0.09      9.41      0.00
     22    0.03      0.19*     0.32      0.13      0.04      9.29      0.00
     23    0.23      0.15      0.29      0.09      0.08*     9.16      0.00
     24    0.23      0.09      0.08*     0.11      0.16      9.33      0.00
     25    0.09      0.13*     0.12      0.23      0.04      9.39      0.00


   (*)  Correct Response

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