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                   American Mathematics Competitions
                   2006 AMC 10 A Results for New Jersery                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1979

      Number of unofficial participants:          8

      Average score of participants:           79.7

      Average score for female students  is:   75.6  (   829 Students)
      Average score for male students is:      83.1  (  1049 Students)
      Average score for unspecified gender is  77.8  (   101 Students)
      Average score for grade 10 is:           81.5  (  1081 Students)
      Average score for grade 9 is:            77.2  (   811 Students)
      Average score for grade 8 and below is:  84.6  (    60 Students)
      Average score with unknown grade:        73.1  (    27 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 63

        Number of schools returning results      68
        Average school winning score          112.38


                   American Mathematics Competitions
                   2006 AMC 12 A Results for New Jersery                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   2708

      Number of unofficial participants:         23

      Average score of participants:           88.9

      Average score for female students  is:   85.4  (  1070 Students)
      Average score for male students is:      91.8  (  1525 Students)
      Average score for unspecified gender is  83.4  (   113 Students)
      Average score for grade 13 is:           90.1  (    10 Students)
      Average score for grade 12 is:           91.8  (  1082 Students)
      Average score for grade 11 is:           86.7  (  1280 Students)
      Average score for grade 10 is:           89.5  (   238 Students)
      Average score for grade 9 is:            84.4  (    68 Students)
      Average score for grade 8 and below is: 116.8  (     2 Students)
      Average score with unknown grade:        82.6  (    28 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                825

        Number of schools returning results      85
        Average school winning score          115.34
        Average school team score             318.49
 


                   American Mathematics Competitions
                   2006 AMC 10 B Results for New Jersery                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1590

      Number of unofficial participants:          0

      Average score of participants:           71.6

      Average score for female students  is:   68.1  (   713 Students)
      Average score for male students is:      74.7  (   773 Students)
      Average score for unspecified gender is  72.2  (   104 Students)
      Average score for grade 10 is:           74.2  (   839 Students)
      Average score for grade 9 is:            68.1  (   689 Students)
      Average score for grade 8 and below is:  75.2  (    26 Students)
      Average score with unknown grade:        75.3  (    36 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 30

        Number of schools returning results      57
        Average school winning score          106.63


                   American Mathematics Competitions
                   2006 AMC 12 B Results for New Jersery                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   2338

      Number of unofficial participants:          0

      Average score of participants:           89.8

      Average score for female students  is:   85.3  (   908 Students)
      Average score for male students is:      92.9  (  1337 Students)
      Average score for unspecified gender is  88.2  (    93 Students)
      Average score for grade 13 is:          105.7  (     3 Students)
      Average score for grade 12 is:           90.2  (   907 Students)
      Average score for grade 11 is:           88.6  (  1073 Students)
      Average score for grade 10 is:           93.6  (   195 Students)
      Average score for grade 9 is:            90.5  (   119 Students)
      Average score for grade 8 and below is:  87.9  (     4 Students)
      Average score with unknown grade:        89.0  (    37 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                667

        Number of schools returning results      76
        Average school winning score          113.22
        Average school team score             321.29
 
 


    2006 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    427.5         1                   1
    415.0         1                   2
    400.5                   1         3
    398.5         1                   4
    389.0                   1         5
    381.0                   1         6
    379.5         1                   7
    378.5                   1         8
    376.5         1                   9
    376.0         1                  10
    370.5         2         2        11
    369.5                   1        15
    368.0         1         2        16
    365.5         2         1        19
    363.5         1         1        22
    363.0                   1        24
    361.0                   1        25
    360.0         1                  26
    358.5                   1        27
    357.5         1                  28
    356.0                   1        29
    355.5         1                  30
    355.0         2                  31
    353.0         2                  33
    352.0         2                  35
    350.5         1         1        37
    349.5         2                  39
    349.0         2                  41
    348.5         1                  43
    348.0         1         1        44
    347.0         2         1        46
    345.5         1         1        49
    344.5         1                  51
    343.5         2                  52
    342.5                   1        54
    342.0         1                  55
    341.5                   2        56
    341.0         2         1        58
    340.5                   1        61
    340.0         1                  62
    339.5                   1        63
    338.5                   1        64
    337.5         2         2        65
    336.0         1                  69
    335.5                   1        70
    335.0         1         1        71
    334.0         1                  73
    331.5                   1        74
    331.0         1         1        75
    330.5                   1        77
    329.5                   3        78
    328.5                   1        81
    328.0                   1        82
    327.0         3         1        83
    326.5         1                  87
    326.0         2         3        88
    324.5         1                  93
    324.0         2                  94
    323.5         1                  96
    322.5                   2        97
    321.5                   1        99
    321.0         1                 100
    320.0         1         1       101
    319.5                   1       103
    318.5                   1       104
    316.5                   1       105
    315.5                   1       106
    315.0                   1       107
    314.5         1         1       108
    312.5                   1       110
    312.0         3         1       111
    311.5         1                 115
    311.0         1                 116
    310.0                   2       117
    309.0         1         1       119
    308.0         2                 121
    307.0         2         1       123
    305.0         1         2       126
    303.5         1                 129
    301.0                   1       130
    299.5         1                 131
    294.0                   2       132
    293.5         1                 134
    292.5         1         1       135
    292.0                   1       137
    291.0                   2       138
    289.0         1                 140
    288.0                   1       141
    283.0         1                 142
    281.5                   1       143
    280.5                   1       144
    279.5                   1       145
    274.0                   1       146
    273.0                   1       147
    269.5         1                 148
    263.5         1                 149
    253.0         1                 150
    242.5         1                 151
    221.5         1                 152
    194.5                   1       153
    192.5         1                 154
    158.5         1                 155
    133.5         1                 156
    120.0                   1       157
    115.0         1                 158
    109.0         1                 159
     87.5                   1       160
     79.5         1                 161


         2006 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    150.0         2                   1
    144.0         1                   1
    143.0         1                   1
    140.5                             2
    139.5         2                             1
    138.0                                       1
    137.0                             3         3
    136.0         1         1         2
    134.5                             2         1
    133.5         3         3         3         2
    132.5         4         6         1
    132.0                             1
    131.0         1                   2         1
    130.0         2         5         4         3
    129.0         2         2         2
    128.5                             2
    127.5         1         1         5         1
    126.5         2         4         4         4
    126.0                             1         1
    125.5         5         7         1         1
    125.0                   1         2
    124.0                             4         1
    123.0         8        12         6         3
    122.5                             2
    122.0        12         7         3         3
    121.5                             4         1
    120.5                   3         3         3
    120.0                   1         1
    119.5         9         8         4         1
    119.0                             1         1
    118.5        44        13         1
    118.0                   1         2         2
    117.0        10        11         7         2
    116.0        33        21        10         7
    115.5         2         2         3
    115.0        26        22         2         1
    114.5         1         7         3         1
    114.0         2         1         2
    113.5        23         5        11         9
    113.0                             3
    112.5        78        31         2         2
    112.0         2                  12
    111.5        20        34         3         2
    111.0         2         3         5         2
    110.5                   1         2
    110.0        34        12        12         8
    109.5                             2
    109.0        63        39        11         5
    108.5         2         5         7         6
    108.0        35        44         4         3
    107.5        21         9        11         5
    107.0                             3         1
    106.5        69        21        10         5
    106.0                             4         4
    105.5        34        41         4         5
    105.0         7         1        10         8
    104.5        13        57         5         1
    104.0        43        11        14         8
    103.5                             3
    103.0        69        36         5         8
    102.5         4         5         6         4
    102.0        35        62         5         2
    101.5        24        15        15         4
    101.0        24        78         3         3
    100.5        47        17        13         9
    100.0         2         1         8         3
     99.5        69        42        14         8
     99.0         4         3        14         8
     98.5        25        60         5         3
     98.0        33         7        32        17
     97.5         2         9         9
     97.0        41        27        11        15
     96.5                   2         7         5
     96.0        48        73        14         7
     95.5        17         7        19        10
     95.0        41        91         9         2
     94.5        53        14        24         9
     94.0         5        11         6         5
     93.5        45        44        17         9
     93.0         4         3        12         6
     92.5        36        51        10         8
     92.0        25        17        20        10
     91.5         6        27        13         8
     91.0        46        22        16        13
     90.5         6        11        10         3
     90.0        44        51        21        11
     89.5        16         3        20         7
     89.0        36        78        19        11
     88.5        36        18        25         9
     88.0         4        14         5         5
     87.5        48        38        21        12
     87.0         9         5        10        10
     86.5        26        51        25        15
     86.0        25        12        22        15
     85.5        10        30        19         3
     85.0        46        25        28        15
     84.5         7        11        12        15
     84.0        48        40        29        20
     83.5        21         8        15         9
     83.0        40        54        22        10
     82.5        28        12        25        14
     82.0        13        11        13         5
     81.5        33        24        23         9
     81.0        10        12        12         9
     80.5        28        33        25        15
     80.0        29        18        25        15
     79.5        20        25        14        12
     79.0        41        15        22        14
     78.5        10        18        14        13
     78.0        41        26        24        24
     77.5        20         7        16         9
     77.0        34        36        22        14
     76.5        21        16        15        19
     76.0        12        13        15         7
     75.5        33        20        23         8
     75.0         7        18        13         6
     74.5        22        27        28        17
     74.0        22         9        18        13
     73.5        15        17        17        14
     73.0        20        14        21        18
     72.5         5         7        18         9
     72.0        24        21        30        18
     71.5        10         7        13        11
     71.0        19        21        22        13
     70.5        14         5        23        10
     70.0        14        10        11        14
     69.5        19        16        15        17
     69.0         9         9        17         8
     68.5        23        12        16        20
     68.0        19         6        26         9
     67.5        10         4        11        19
     67.0        11         9        23        22
     66.5        10         9        21        15
     66.0        27        17        32        22
     65.5         4         6        12        17
     65.0         7         7        14        24
     64.5        14         4        17        21
     64.0        10         4         9        18
     63.5        18         6        20         8
     63.0         7         7        15        12
     62.5         9         8        20        12
     62.0         5         7        15        20
     61.5         5         9        24        20
     61.0         5         7        11        16
     60.5         6         6         6        16
     60.0        14         8        20        21
     59.5         6         2        13        10
     59.0         7         3         8        18
     58.5         4         6         8        13
     58.0         2         6         5        13
     57.5         6         3         9        13
     57.0         7         2        12        11
     56.5        18         1         9         9
     56.0         4         6        11        10
     55.5         3         1         5        13
     55.0         8         3         7         6
     54.5         3                   6        15
     54.0        15        13        19        21
     53.5         5         4        10         9
     53.0         5         7         6        10
     52.5         3         2        10         6
     52.0         7         5         5        14
     51.5         4         4         2        10
     51.0         6         1         7        12
     50.5         3         3         4        15
     50.0         4         1         6         4
     49.5         1         4         4         4
     49.0                             2         9
     48.5         2                   4         5
     48.0        12        12        16        20
     47.5         2         1         5         5
     47.0         3         1         7        13
     46.5                   2         5         6
     46.0                             3        12
     45.5         3                             4
     45.0         6                   4
     44.5         3         1                   5
     44.0                   1         5         6
     43.5         2                   4         9
     43.0         1         3         3         6
     42.5         2         1         4         4
     42.0        10         2         9         8
     41.5         1         1         4         4
     41.0         1                   1         6
     40.5                             1         2
     40.0         1                   2         3
     39.5                   1                   2
     39.0         1                   4         8
     38.5                             2         7
     38.0                             1         2
     37.5                   1         4         3
     37.0                                       1
     36.5         1                   6         5
     36.0         5         1        11         8
     35.5         1                   1         5
     35.0         2                   2         2
     34.5                                       3
     34.0                                       3
     33.5                                       2
     33.0                                       2
     32.5                             1         1
     32.0                   2                   1
     31.5                             2         1
     31.0                                       1
     30.5                             1         1
     30.0         3                   5        10
     29.0                                       1
     28.5                                       2
     27.0                                       2
     26.5                                       1
     24.0         1         1         1         8
     23.5                                       1
     23.0                                       3
     21.0                                       3
     20.5                                       1
     19.5                                       1
     18.5                                       1
     18.0                   1         1         1
     12.5                                       1
     12.0                                       1



                   American Mathematics Competitions
                   2006 AMC 10 A Results for New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 A Results for New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 A Results for New Jersery                
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   150.0                           1
   144.0                    1
   143.0                                  1
   140.5                    1             1
   137.0                           1      2
   136.0                                  2
   134.5                           1      1
   133.5                           2      1
   132.5                           1
   132.0                                  1
   131.0                                  2
   130.0                           1      3
   129.0                                  2
   128.5                           1      1
   127.5                                  5
   126.5                           1      3
   126.0                                  1
   125.5                           1
   125.0                                  2
   124.0                           3      1
   123.0                           4      2
   122.5                           1      1
   122.0                    1      1      1
   121.5                           2      2
   120.5                           2      1
   120.0                           1
   119.5                           2      2
   119.0                           1
   118.5                           1
   118.0                                  2
   117.0                           3      4
   116.0                    1      2      7
   115.5                                  3
   115.0                           1      1
   114.5                                  3
   114.0                    1      1
   113.5                    1      4      5      1
   113.0                                  3
   112.5                                  2
   112.0                           5      7
   111.5                                  3
   111.0                                  5
   110.5                           1      1
   110.0                           6      6
   109.5                           1      1
   109.0                           6      5
   108.5             1             5      1
   108.0                           2      2
   107.5                           3      8
   107.0                           1      2
   106.5                           2      7      1
   106.0                    1             3
   105.5                           1      3
   105.0      1             1      1      7
   104.5                           4      1
   104.0      1                    6      7
   103.5                           2      1
   103.0                           2      3
   102.5                           2      4
   102.0                           1      4
   101.5                           8      7
   101.0                           1      2
   100.5                    1      3      9
   100.0                           2      6
    99.5                           5      9
    99.0                    1      7      6
    98.5                           3      2
    98.0      1                   10     20      1
    97.5                           3      6
    97.0                           6      4      1
    96.5                           2      5
    96.0                           4      9      1
    95.5                           8     11
    95.0                           1      8
    94.5      1      1      1      7     14
    94.0                           2      4
    93.5                           7     10
    93.0                           2     10
    92.5                    2      4      4
    92.0                           9     11
    91.5                           4      8      1
    91.0                    1      6      9
    90.5                           4      6
    90.0                    1      7     13
    89.5                           3     17
    89.0                           9     10
    88.5                           9     15      1
    88.0                           2      3
    87.5             1      1      5     14
    87.0                           5      5
    86.5                    1     12     12
    86.0                    1     10     11
    85.5                           8     11
    85.0                    2      8     18
    84.5                           5      7
    84.0                           8     21
    83.5                           7      8
    83.0                    1     10     10      1
    82.5                           9     15      1
    82.0                           5      8
    81.5                    2      7     14
    81.0      1             1      7      3
    80.5             1             8     16
    80.0                          11     14
    79.5                           5      9
    79.0                    1     10     11
    78.5             2             6      6
    78.0                    1      7     15      1
    77.5             1      1      7      7
    77.0                    1     10     11
    76.5                    1      9      5
    76.0                    2      7      6
    75.5                    1      6     16
    75.0                           3     10
    74.5                          12     16
    74.0                           8     10
    73.5                           8      9
    73.0                    2      7     12
    72.5                           3     15
    72.0                          13     17
    71.5                           9      4
    71.0                          14      8
    70.5                          14      8      1
    70.0                           8      3
    69.5                           8      7
    69.0                    1      7      8      1
    68.5                           4     11      1
    68.0                           9     17
    67.5             1             5      5
    67.0                           7     16
    66.5                           9     12
    66.0                    1     17     11      3
    65.5                    1      1     10
    65.0                           5      9
    64.5                           9      8
    64.0                           5      4
    63.5                    1      7     11      1
    63.0                    1      5      9
    62.5                    1      6     12      1
    62.0                           6      7      2
    61.5                          12     11      1
    61.0                           7      4
    60.5                           2      4
    60.0                          12      8
    59.5                    1      7      4      1
    59.0                           4      4
    58.5                    1      4      3
    58.0                    1      3      1
    57.5                           8             1
    57.0                    1      6      5
    56.5                           4      4      1
    56.0                           5      6
    55.5                           2      3
    55.0                           4      3
    54.5                           3      3
    54.0                    2      9      8
    53.5                           6      4
    53.0                           2      4
    52.5                           7      2      1
    52.0                                  5
    51.5                           1      1
    51.0                           1      6
    50.5                           1      3
    50.0                           5      1
    49.5                           2      2
    49.0                           1      1
    48.5                           2      2
    48.0             1             3     11      1
    47.5                           3      2
    47.0                           4      2      1
    46.5                           2      3
    46.0                           2      1
    45.0                           3      1
    44.0                           4      1
    43.5                                  4
    43.0                           2      1
    42.5                           3      1
    42.0                           5      4
    41.5                           2      2
    41.0                           1
    40.5                                  1
    40.0                                  2
    39.0                           1      3
    38.5                           1      1
    38.0                           1
    37.5                           2      2
    36.5                           5      1
    36.0                           8      3
    35.5                           1
    35.0                           2
    32.5                           1
    31.5                           1      1
    30.5                                  1
    30.0                           4      1
    24.0                           1
    18.0                                  1



                   American Mathematics Competitions
                   2006 AMC 10 A Results for New Jersery                
                              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      0.03      0.01      0.01      0.02      0.00
      2    1.60      0.17      3.80*     0.18      1.74      2.49      0.01
      3    0.08      8.65*     0.06      0.06      1.10      0.06      0.00
      4    2.04      0.11      0.05      0.11      7.33*     0.36      0.00
      5    0.13      0.91      1.08      7.45*     0.19      0.24      0.00
      6    0.12      8.71*     0.23      0.11      0.05      0.79      0.00
      7    7.32*     0.12      0.47      0.30      0.37      1.43      0.00
      8    1.07      0.54      0.56      0.23      2.68*     4.93      0.00
      9    1.54      1.65      5.73*     0.30      0.19      0.58      0.01
     10    0.40      0.27      0.86      3.05      1.47*     3.96      0.00
     11    1.75      1.48      1.96*     0.91      0.91      2.99      0.00
     12    1.10      0.49      4.74*     1.06      0.31      2.31      0.00
     13    0.39      1.22      0.28      5.50*     0.14      2.47      0.00
     14    1.69      4.21*     0.30      1.23      0.66      1.91      0.00
     15    0.97      0.52      0.48      1.64*     0.54      5.85      0.01
     16    0.44      0.40      0.63      0.63*     0.80      7.10      0.01
     17    2.23*     0.47      0.36      0.56      0.43      5.94      0.01
     18    2.02      0.23      3.55*     0.42      0.22      3.57      0.01
     19    0.56      1.86      1.04*     0.38      0.37      5.79      0.00
     20    0.53      1.27      0.48      0.51      0.73*     6.48      0.01
     21    0.80      0.82      0.46      0.77      1.40*     5.74      0.01
     22    0.12      0.78      3.87*     3.44      0.63      1.15      0.01
     23    0.59      1.82*     0.32      0.35      0.78      6.13      0.01
     24    1.03      0.52*     0.51      0.28      0.40      7.26      0.00
     25    2.37      0.97      0.61*     0.50      0.34      5.20      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 New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0      2               125.0                      100.0      1     1
    149.5                      124.5                       99.5     43    25
    149.0                      124.0                       99.0      1     3
    148.5                      123.5                       98.5     13    10
    148.0                      123.0      7     1          98.0     20    11
    147.5                      122.5                       97.5      1     1
    147.0                      122.0     10     2          97.0     20    16
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0     26    22
    145.5                      120.5                       95.5      8     8
    145.0                      120.0                       95.0     24    15
    144.5                      119.5      7     2          94.5     27    25
    144.0      1               119.0                       94.0      3     2
    143.5                      118.5     32    10          93.5     22    21
    143.0      1               118.0                       93.0      3     1
    142.5                      117.5                       92.5     21    13
    142.0                      117.0      5     5          92.0     20     4
    141.5                      116.5                       91.5      2     4
    141.0                      116.0     26     7          91.0     28    18
    140.5                      115.5      2                90.5      4     2
    140.0                      115.0     20     6          90.0     25    15
    139.5      2               114.5                       89.5      8     8
    139.0                      114.0      1     1          89.0     24    11
    138.5                      113.5     15     8          88.5     15    19
    138.0                      113.0                       88.0      4
    137.5                      112.5     53    22          87.5     25    21
    137.0                      112.0      1     1          87.0      6     2
    136.5                      111.5     11     9          86.5     13    11
    136.0      1               111.0      2                86.0     18     7
    135.5                      110.5                       85.5      2     7
    135.0                      110.0     29     5          85.0     28    16
    134.5                      109.5                       84.5      4     3
    134.0                      109.0     33    27          84.0     24    22
    133.5      3               108.5            2          83.5     13     7
    133.0                      108.0     23    11          83.0     25    14
    132.5      3     1         107.5     15     5          82.5      6    19
    132.0                      107.0                       82.0      7     4
    131.5                      106.5     42    24          81.5     17    16
    131.0      1               106.0                       81.0      4     6
    130.5                      105.5     20    13          80.5     13    15
    130.0      2               105.0      5     2          80.0     14    15
    129.5                      104.5      7     5          79.5     11     9
    129.0      1     1         104.0     26    14          79.0     21    20
    128.5                      103.5                       78.5      5     4
    128.0                      103.0     52    16          78.0     21    18
    127.5            1         102.5      2     2          77.5     14     6
    127.0                      102.0     23    12          77.0     20    13
    126.5      2               101.5     18     4          76.5     10    10
    126.0                      101.0     16     7          76.0      7     4
    125.5      3     2         100.5     34    12          75.5     14    15



                   American Mathematics Competitions
                   2006 AMC 12 A Results for New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 A Results for New Jersery                
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   150.0                                         1      1
   144.0                                                1
   143.0                                         1
   139.5                                         1      1
   136.0                                         1
   133.5                                                3
   132.5                                  1             3
   131.0                                         1
   130.0                                                2
   129.0                                  1      1
   127.5                                                1
   126.5                                  2
   125.5                                  2      2      1
   123.0                           1             2      5
   122.0                    1             2      4      5
   119.5                                  1      4      4
   118.5                                  3     15     25             1
   117.0                                  1      5      4
   116.0                           2      5     11     15
   115.5                                         1      1
   115.0                                  2     14     10
   114.5                                                              1
   114.0                                  1             1
   113.5                           1      1      8     12             1
   112.5                                 10     34     34
   112.0                                         2
   111.5                    1      1      3      7      8
   111.0                                                2
   110.0                                  2     14     18
   109.0                                  5     25     33
   108.5                                         2
   108.0                           1      3     10     21
   107.5                                         5     16
   106.5                           1      7     41     20
   105.5                           1      4     12     17
   105.0                                  1      5      1
   104.5                                         5      7             1
   104.0                           3      3     12     24             1
   103.0                           2      3     25     39
   102.5                                         2      2
   102.0                                  6     14     15
   101.5                                  2     10     12
   101.0                                  1     18      5
   100.5                           1      4     21     21
   100.0                                         1      1
    99.5                           2      5     35     27
    99.0                                  1      1      2
    98.5                                  1     12     11             1
    98.0                           1      2      9     21
    97.5                                         2
    97.0                           1      3     18     19
    96.0                                  4     23     21
    95.5                           1             9      7
    95.0                           1      3     17     18      1      1
    94.5                                  4     28     21
    94.0                           1                    4
    93.5                           2      3     24     14      2
    93.0                                         4
    92.5                           2      3     12     16      2      1
    92.0                                  2      9     14
    91.5                                  1      3      2
    91.0                           2      3     19     20      1      1
    90.5                                         3      3
    90.0                                  3     22     18      1
    89.5                           1      1      8      6
    89.0                           1      5     15     13      1      1
    88.5                                  3     14     18             1
    88.0                           1             2      1
    87.5                           1      4     26     17
    87.0                                  1      4      3             1
    86.5                                  2     14      8             2
    86.0                           1      2     12     10
    85.5                                  2      4      4
    85.0                           1      5     23     16             1
    84.5                                         4      3
    84.0                                  2     24     22
    83.5                                  2     10      7             2
    83.0                           2      7     14     16      1
    82.5                                        12     16
    82.0                                  1      7      4             1
    81.5                           2      3     16     12
    81.0                                  1      6      3
    80.5                                  4     12     11      1
    80.0                                        17     12
    79.5                           3      2      9      6
    79.0                                  3     25     13
    78.5                                  1      7      2
    78.0                           2      4     22     13
    77.5                                        10      9             1
    77.0                           1      7     12     14
    76.5                           2      5      8      6
    76.0                                  1      6      4             1
    75.5                           3      3     16     11
    75.0                                  1      4      2
    74.5                           2      2      7     11
    74.0                                        13      9
    73.5                           1      2     10      1             1
    73.0                           1      2     11      6
    72.5                                         3      2
    72.0                           1      2     14      7
    71.5                                  1      4      5
    71.0                           1      4     10      4
    70.5                           1      1      9      3
    70.0                                  2      7      5
    69.5                                  3      8      8
    69.0                           1             7      1
    68.5                           2      3     15      3
    68.0                                  1     13      5
    67.5                           1             8      1
    67.0                                  1      7      3
    66.5                                  2      5      3
    66.0                                  5     13      9
    65.5                                         1      3
    65.0                                  1      5      1
    64.5                                  2      8      3             1
    64.0                                         4      5             1
    63.5                           3      2      9      4
    63.0                                  1      3      3
    62.5                                         7      2
    62.0                                         3      2
    61.5                                         4      1
    61.0                                  1      3      1
    60.5                                  1      3      2
    60.0                                  1      9      4
    59.5                                  2      3      1
    59.0                           1      2      3      1
    58.5                                  1      2      1
    58.0                                         1      1
    57.5                                         5      1
    57.0                                         5      2
    56.5                                  1      9      7             1
    56.0                           1      1      1      1
    55.5                                  1      1      1
    55.0                           1             4      3
    54.5                                         2                    1
    54.0                                        12      3
    53.5                                         4      1
    53.0                           1      1      3
    52.5                                         1      1             1
    52.0                                  1      4      2
    51.5                                         3      1
    51.0                                  1      5
    50.5                                         2      1
    50.0                                         4
    49.5                                                1
    48.5                                         1                    1
    48.0                                         7      5
    47.5                                         2
    47.0                                  1      1      1
    45.5                           1             1      1
    45.0                                         5      1
    44.5                                         2      1
    43.5                                         1      1
    43.0                                         1
    42.5                                         1                    1
    42.0                           1             2      7
    41.5                                         1
    41.0                                         1
    40.0                                         1
    39.0                                                1
    36.5                                                1
    36.0                                         3      2
    35.5                                                1
    35.0                                         1      1
    30.0                                         2      1
    24.0                                                1



                   American Mathematics Competitions
                   2006 AMC 12 A Results for New Jersery                
                              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    9.97*     0.01      0.00      0.01      0.00      0.00      0.00
      2    1.55      0.15      6.39*     0.08      0.59      1.23      0.00
      3    0.04      9.19*     0.00      0.03      0.71      0.03      0.00
      4    1.46      0.10      0.03      0.07      8.16*     0.18      0.00
      5    0.09      0.59      0.66      8.25*     0.16      0.25      0.00
      6    7.64*     0.09      0.41      0.22      0.27      1.38      0.00
      7    0.75      6.06*     0.67      0.60      0.35      1.57      0.00
      8    0.71      1.14      7.49*     0.28      0.07      0.32      0.00
      9    8.62*     0.13      0.05      0.04      0.27      0.90      0.00
     10    0.29      0.16      0.76      3.59      2.66*     2.54      0.00
     11    1.38      1.14      3.28*     0.79      0.65      2.76      0.00
     12    1.34      5.79*     0.22      0.68      0.31      1.66      0.00
     13    0.36      0.14      0.21      0.10      6.61*     2.57      0.00
     14    0.04      0.45      5.56*     2.19      0.34      1.42      0.00
     15    4.26*     1.29      0.25      0.66      1.62      1.92      0.00
     16    0.32      4.51*     0.13      0.27      0.54      4.23      0.00
     17    0.34      0.64*     0.55      0.42      0.12      7.92      0.00
     18    1.35      0.11      0.31      0.61      0.51*     7.11      0.00
     19    0.16      0.23      0.18      0.22      0.27*     8.94      0.00
     20    1.89      0.65      0.56*     0.27      0.22      6.41      0.00
     21    0.11      0.13      0.34      0.19      0.26*     8.96      0.00
     22    0.11      0.16      0.25      0.14*     0.12      9.23      0.00
     23    0.11      0.24*     0.14      0.13      0.20      9.18      0.00
     24    1.10      0.25      0.24      0.31*     0.11      7.98      0.00
     25    0.15      0.20      0.22      0.19      0.14*     9.10      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 10 B Results for New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 B Results for New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 B Results for New Jersery                
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   139.5                           1
   138.0                           1
   137.0                           1      2
   134.5                                  1
   133.5                                  2
   131.0                                  1
   130.0                                  3
   127.5                           1
   126.5                           1      3
   126.0                           1
   125.5                                  1
   124.0                           1
   123.0                           1      2
   122.0                           1      2
   121.5                           1
   120.5                           1      2
   119.5                                  1
   119.0                                  1
   118.0                                  2
   117.0                                  2
   116.0                           3      4
   115.0                                  1
   114.5                                  1
   113.5                           1      8
   112.5                           1      1
   111.5                                  2
   111.0                                  1      1
   110.0                    1      2      5
   109.0                           1      4
   108.5                           2      4
   108.0                           1      2
   107.5                                  4      1
   107.0                                  1
   106.5                           1      4
   106.0                           2      2
   105.5                    1             4
   105.0                           4      4
   104.5                                  1
   104.0                           4      3      1
   103.0                           2      5      1
   102.5                                  3      1
   102.0                           1      1
   101.5                           2      2
   101.0                           1      2
   100.5                           2      7
   100.0                           1      2
    99.5                    1      4      3
    99.0                           3      5
    98.5                                  3
    98.0                           5     11      1
    97.0                           6      8      1
    96.5                    1      1      3
    96.0                           2      5
    95.5                    1      4      5
    95.0                                  2
    94.5                           2      6      1
    94.0                           2      2      1
    93.5                    2      4      3
    93.0                           2      4
    92.5                           1      6      1
    92.0                           5      5
    91.5                           5      3
    91.0                           4      7      2
    90.5                           1      2
    90.0                           5      6
    89.5                           3      4
    89.0                           6      5
    88.5                    1      4      4
    88.0                           2      3
    87.5                    1      4      7
    87.0                           4      6
    86.5                           8      7
    86.0                    1      8      6
    85.5                                  3
    85.0                           5     10
    84.5                           5      9      1
    84.0                           9     11
    83.5                           3      6
    83.0                           8      2
    82.5                    1      6      7
    82.0                           1      4
    81.5                           4      4      1
    81.0                                  9
    80.5                           5     10
    80.0                           8      6      1
    79.5                           5      7
    79.0                           3     11
    78.5                           5      7      1
    78.0             1             7     15      1
    77.5                           5      4
    77.0                           7      6      1
    76.5                           8      9      2
    76.0                           1      5      1
    75.5                           2      6
    75.0                           3      3
    74.5                    1      5     11
    74.0                           3     10
    73.5                           8      6
    73.0                           8     10
    72.5                           4      5
    72.0                           7     11
    71.5                           5      6
    71.0                           5      8
    70.5                    1      3      6
    70.0                           7      6      1
    69.5             1             7      7      2
    69.0                    1      4      3
    68.5                           7     13
    68.0                           3      6
    67.5                          11      6      2
    67.0                          11     11
    66.5                           7      8
    66.0                          12     10
    65.5                           9      8
    65.0                    1      5     17      1
    64.5                          12      9
    64.0                          10      8
    63.5                    1      6      1
    63.0                    1      6      5
    62.5                           3      9
    62.0                    1      9     10
    61.5                           7     13
    61.0                          10      6
    60.5                           9      6      1
    60.0                          13      8
    59.5                           5      5
    59.0                    1      8      9
    58.5                           7      6
    58.0                    1      9      3
    57.5                           6      7
    57.0                           4      6      1
    56.5                    1      3      5
    56.0                           5      4      1
    55.5                           9      4
    55.0                           2      4
    54.5                           9      6
    54.0                           8     13
    53.5                           3      6
    53.0                    1      5      4
    52.5                           3      3
    52.0                           9      5
    51.5                           7      3
    51.0                           5      7
    50.5                           6      8      1
    50.0                           4
    49.5                           1      3
    49.0                           6      3
    48.5                           3      2
    48.0                          12      6      2
    47.5                           4      1
    47.0                           7      6
    46.5                           5      1
    46.0                           5      7
    45.5                                  4
    44.5                           1      4
    44.0                           3      3
    43.5                           4      5
    43.0                           5      1
    42.5                           1      3
    42.0                           6      2
    41.5                           1      3
    41.0                           4      2
    40.5                           2
    40.0                           2      1
    39.5                           2
    39.0                           3      5
    38.5                           4      3
    38.0                    1      1
    37.5                           2      1
    37.0                           1
    36.5                           2      3
    36.0                    1      3      4
    35.5                           3      2
    35.0                           2
    34.5                           1      2
    34.0                           1      1      1
    33.5                                  2
    33.0                           1      1
    32.5                           1
    32.0                           1
    31.5                           1
    31.0                                  1
    30.5                                  1
    30.0                           4      5      1
    29.0                                  1
    28.5                           1      1
    27.0                           1      1
    26.5                                  1
    24.0                           4      3      1
    23.5                                  1
    23.0                           1      2
    21.0                           1      2
    20.5                           1
    19.5                           1
    18.5                           1
    18.0                           1
    12.5                           1
    12.0                           1



                   American Mathematics Competitions
                   2006 AMC 10 B Results for New Jersery                
                              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    0.72      0.43      6.30*     1.44      0.76      0.35      0.00
      2    6.86*     0.45      0.14      0.19      0.35      2.01      0.00
      3    8.43*     0.19      0.04      0.89      0.33      0.12      0.01
      4    1.44      1.47      0.34      3.93*     1.96      0.86      0.00
      5    0.61      5.29*     2.25      0.48      0.17      1.21      0.00
      6    0.35      0.29      2.92      4.18*     0.49      1.77      0.00
      7    2.89*     1.81      1.09      0.85      1.09      2.26      0.01
      8    1.72      1.51*     0.33      1.48      0.79      4.18      0.00
      9    0.11      8.10*     0.14      0.08      0.88      0.69      0.00
     10    3.47*     0.63      1.26      0.16      2.52      1.96      0.00
     11    0.37      0.40      3.25*     0.70      0.37      4.90      0.00
     12    0.28      0.36      0.30      0.43      5.34*     3.30      0.00
     13    0.87      0.16      2.04      0.92      3.09*     2.90      0.01
     14    0.29      0.22      0.46      1.33*     0.10      7.60      0.00
     15    0.97      0.59      1.75*     0.30      0.40      5.99      0.00
     16    2.23      0.59      1.99      0.92      2.01*     2.26      0.00
     17    2.42      1.24      1.45      2.92*     0.16      1.82      0.00
     18    0.59      0.43      1.36      0.58      1.11*     5.91      0.00
     19    0.43*     0.52      0.38      0.26      0.32      8.09      0.00
     20    0.53      0.50      0.45      0.57      1.24*     6.72      0.00
     21    0.80      0.34      1.10*     1.97      0.74      5.05      0.00
     22    0.33      0.60      2.21      1.19*     0.16      5.51      0.00
     23    0.26      0.75      0.40      0.37*     0.33      7.89      0.01
     24    0.24      1.40*     0.74      0.41      0.34      6.87      0.00
     25    0.23      2.28*     0.28      2.16      0.33      4.72      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 New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0      1               100.0      1
    149.5                      124.5                       99.5     30     9
    149.0                      124.0                       99.0      3
    148.5                      123.5                       98.5     36    23
    148.0                      123.0      9     3          98.0      5     2
    147.5                      122.5                       97.5      4     5
    147.0                      122.0      5     2          97.0     16     9
    146.5                      121.5                       96.5      2
    146.0                      121.0                       96.0     46    24
    145.5                      120.5      2     1          95.5      4     2
    145.0                      120.0      1                95.0     58    31
    144.5                      119.5      8                94.5      5     9
    144.0                      119.0                       94.0      5     5
    143.5                      118.5      8     4          93.5     25    17
    143.0                      118.0            1          93.0      1     2
    142.5                      117.5                       92.5     31    17
    142.0                      117.0     10     1          92.0     13     4
    141.5                      116.5                       91.5     12    15
    141.0                      116.0     16     4          91.0     13     9
    140.5                      115.5      2                90.5      4     7
    140.0                      115.0     15     7          90.0     26    23
    139.5                      114.5      6     1          89.5      3
    139.0                      114.0      1                89.0     43    31
    138.5                      113.5      4     1          88.5     15     3
    138.0                      113.0                       88.0      6     7
    137.5                      112.5     24     6          87.5     19    18
    137.0                      112.0                       87.0      2     3
    136.5                      111.5     25     9          86.5     27    23
    136.0      1               111.0      3                86.0      6     6
    135.5                      110.5      1                85.5     20     9
    135.0                      110.0     11     1          85.0     16     9
    134.5                      109.5                       84.5      3     6
    134.0                      109.0     29     8          84.0     21    17
    133.5      3               108.5      5                83.5      6     1
    133.0                      108.0     30    14          83.0     31    22
    132.5      6               107.5      5     3          82.5      6     6
    132.0                      107.0                       82.0      4     6
    131.5                      106.5     18     2          81.5     10    12
    131.0                      106.0                       81.0      5     3
    130.5                      105.5     28    12          80.5     17    16
    130.0      4               105.0            1          80.0      7    11
    129.5                      104.5     39    15          79.5     11    13
    129.0      1     1         104.0      8     1          79.0      5     5
    128.5                      103.5                       78.5      9     8
    128.0                      103.0     21    14          78.0     13    12
    127.5      1               102.5      4     1          77.5      3     4
    127.0                      102.0     41    18          77.0     13    23
    126.5      4               101.5     11     1          76.5      9     7
    126.0                      101.0     54    20          76.0      6     6
    125.5      1     6         100.5     13     4          75.5      7    13



                   American Mathematics Competitions
                   2006 AMC 12 B Results for New Jersery                
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 B Results for New Jersery                
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   136.0                                                1
   133.5                                  1             2
   132.5                                  1      4      1
   130.0                                  1      2      2
   129.0                                                2
   127.5                                                1
   126.5                                         3      1
   125.5                                  2      2      3
   125.0                                                1
   123.0                           1      1      3      6             1
   122.0                                  1      4      2
   120.5                                                3
   120.0                                         1
   119.5                                  1      5      1      1
   118.5                           1      1      7      4
   118.0                                                1
   117.0                                  1      7      3
   116.0                                  1      8     11             1
   115.5                                         1      1
   115.0                           2      3      7     10
   114.5                                  1      2      4
   114.0                                                1
   113.5                                  1      2      2
   112.5                           5      7     12      7
   111.5                           3      2     16     13
   111.0                           1                    2
   110.5                                                1
   110.0                                  1      4      7
   109.0                    1      4      4     18     10             2
   108.5                                         4      1
   108.0                    1      3      9     14     17
   107.5                           1      1      4      3
   106.5                                  3      8     10
   105.5                           2      4     19     15             1
   105.0                                         1
   104.5                           7      3     26     20             1
   104.0                                  1      2      7             1
   103.0                                  3     16     16             1
   102.5                                  2      1      1      1
   102.0                           4      4     26     27             1
   101.5                                  1      6      7             1
   101.0                           5     11     21     40             1
   100.5                                  3      9      5
   100.0                                         1
    99.5                           2      6     19     13             2
    99.0                                         3
    98.5                           3      4     26     26             1
    98.0                                  1      1      5
    97.5                                         6      3
    97.0                           2      2     16      7
    96.5                                         1      1
    96.0                           4      7     29     31             2
    95.5                                         5      2
    95.0                           7     10     38     35      1
    94.5                           1            11      2
    94.0                                  1      6      3             1
    93.5                           2      7     22     13
    93.0                                         1      2
    92.5                                  4     26     20             1
    92.0                           1      1      8      7
    91.5                           1      1     15     10
    91.0                                  1     12      9
    90.5                                         1     10
    90.0                           1      3     22     24             1
    89.5                                         2      1
    89.0                           4      6     39     28             1
    88.5                                  1      9      8
    88.0                           1      1      7      4             1
    87.5                           1      2     20     14             1
    87.0                                                5
    86.5                    1      4      3     30     13
    86.0                           1      3      3      5
    85.5                           3      5     10     12
    85.0                           2            12     11
    84.5                                         9      1             1
    84.0                                  2     21     15             2
    83.5                                         4      4
    83.0                           8      5     18     22             1
    82.5                           1      2      5      4
    82.0                           1             4      6
    81.5                           2      2     12      8
    81.0                                  1      3      5             3
    80.5                           1            18     14
    80.0                           1      5      3      9
    79.5                                  1     18      6
    79.0                           2             5      8
    78.5                                  1     10      6             1
    78.0                                  3     12     11
    77.5                                         2      5
    77.0                                  2     20     14
    76.5                                  1     12      3
    76.0                           1      2      4      6
    75.5                           1            10      9
    75.0                           1      1      9      7
    74.5                           1      1     15     10
    74.0                                  3      4      2
    73.5                                  3      7      7
    73.0                           1             9      4
    72.5                                         4      3
    72.0                           1            17      3
    71.5                           1             4      2
    71.0                           2      1      8      9             1
    70.5                                         4      1
    70.0                                         6      4
    69.5                           2             7      7
    69.0                           1      1      3      4
    68.5                           1      1      6      3             1
    68.0                           1             3      2
    67.5                                         3      1
    67.0                           1      1      3      3             1
    66.5                                         6      3
    66.0                                         9      8
    65.5                           1             3      1             1
    65.0                           1             2      4
    64.5                                  1      2      1
    64.0                                  2             2
    63.5                                         4      2
    63.0                                         5      2
    62.5                                         4      3             1
    62.0                                         1      6
    61.5                                         6      3
    61.0                           1             3      3
    60.5                                  1      3      2
    60.0                                         5      3
    59.5                           1             1
    59.0                                         3
    58.5                                  1      3      2
    58.0                                         3      3
    57.5                           1                    2
    57.0                                                2
    56.5                                         1
    56.0                                         4      2
    55.5                                         1
    55.0                                         2      1
    54.0                                  2      7      4
    53.5                                         1      3
    53.0                                  2      4      1
    52.5                                         1      1
    52.0                                         2      3
    51.5                           1             2      1
    51.0                                         1
    50.5                                  1      2
    50.0                                         1
    49.5                                         1      2             1
    48.0                    1      2             3      6
    47.5                                         1
    47.0                                                1
    46.5                                         1      1
    44.5                                         1
    44.0                                                              1
    43.0                                  2             1
    42.5                           1
    42.0                                                2
    41.5                                         1
    39.5                                         1
    37.5                                                1
    36.0                                         1
    32.0                                         1      1
    24.0                                         1
    18.0                                         1



                   American Mathematics Competitions
                   2006 AMC 12 B Results for New Jersery                
                              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      0.18      8.76*     0.58      0.21      0.06      0.00
      2    8.91*     0.24      0.02      0.06      0.24      0.54      0.00
      3    8.98*     0.13      0.04      0.51      0.22      0.12      0.00
      4    9.46*     0.18      0.07      0.15      0.04      0.09      0.00
      5    7.85*     0.75      0.21      0.17      0.09      0.93      0.00
      6    0.06      9.19*     0.11      0.03      0.36      0.26      0.00
      7    0.37      8.79*     0.23      0.30      0.07      0.23      0.00
      8    0.11      0.16      0.18      0.25      8.09*     1.21      0.00
      9    0.38      5.40*     0.32      0.93      0.44      2.54      0.00
     10    4.70*     0.53      1.08      0.08      2.25      1.36      0.00
     11    0.49      0.16      0.98      0.86      5.41*     2.10      0.00
     12    0.68      0.57      0.47      1.38*     0.59      6.31      0.00
     13    0.48      0.67      3.13*     0.20      0.51      5.01      0.00
     14    0.21      0.42      1.81      2.60*     0.12      4.83      0.00
     15    0.27      2.72*     0.81      0.42      0.15      5.62      0.00
     16    0.31      0.27      1.46*     0.26      0.27      7.44      0.00
     17    0.72      0.19      1.81*     1.44      0.36      5.48      0.00
     18    0.41      0.89*     1.27      0.30      0.22      6.90      0.00
     19    0.10      2.73*     0.10      1.33      0.31      5.43      0.00
     20    0.22      0.26      0.36*     0.21      0.59      8.37      0.00
     21    0.23      0.14      0.24*     0.11      0.11      9.18      0.00
     22    0.14      0.34*     0.28      0.13      0.08      9.04      0.00
     23    0.13      0.22      0.35      0.35      0.18*     8.77      0.00
     24    0.21      0.15      0.18*     0.18      0.09      9.19      0.00
     25    0.08      0.20*     0.25      0.29      0.11      9.07      0.00


   (*)  Correct Response

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