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                   American Mathematics Competitions
                   2006 AMC 10 A Results for  Manitoba                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     66

      Number of unofficial participants:          0

      Average score of participants:           86.8

      Average score for female students  is:   83.3  (    32 Students)
      Average score for male students is:      90.3  (    31 Students)
      Average score for unspecified gender is  86.5  (     3 Students)
      Average score for grade 10 is:           87.0  (    39 Students)
      Average score for grade 9 is:            86.0  (    25 Students)
      Average score for grade 8 and below is: 107.5  (     1 Student) 
      Average score with unknown grade:        78.0  (     1 Student) 

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  1

        Number of schools returning results       2
        Average school winning score          107.25


                   American Mathematics Competitions
                   2006 AMC 12 A Results for  Manitoba                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     63

      Number of unofficial participants:          0

      Average score of participants:           97.4

      Average score for female students  is:   92.7  (    22 Students)
      Average score for male students is:     100.0  (    41 Students)
      Average score for grade 12 is:          100.8  (    32 Students)
      Average score for grade 11 is:           93.9  (    31 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 28

        Number of schools returning results       2
        Average school winning score          117.75
        Average school team score             339.00
 


                   American Mathematics Competitions
                   2006 AMC 10 B Results for  Manitoba                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     73

      Number of unofficial participants:          0

      Average score of participants:           68.7

      Average score for female students  is:   60.7  (    21 Students)
      Average score for male students is:      73.0  (    47 Students)
      Average score for unspecified gender is  62.2  (     5 Students)
      Average score for grade 10 is:           69.7  (    56 Students)
      Average score for grade 9 is:            62.6  (    12 Students)
      Average score for grade 8 and below is: 108.0  (     1 Student) 
      Average score with unknown grade:        64.1  (     4 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  0

        Number of schools returning results       3
        Average school winning score          108.83


                   American Mathematics Competitions
                   2006 AMC 12 B Results for  Manitoba                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     32

      Number of unofficial participants:          0

      Average score of participants:           78.7

      Average score for female students  is:   72.1  (    10 Students)
      Average score for male students is:      81.7  (    22 Students)
      Average score for grade 12 is:           87.9  (     7 Students)
      Average score for grade 11 is:           76.1  (    25 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                  3

        Number of schools returning results       2
        Average school winning score          101.75
        Average school team score             300.00
 
 


    2006 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    387.0         1                   1
    315.5                   1         2
    291.0         1                   3
    284.5                   1         4


         2006 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    136.0         1
    125.5         2
    122.0         1                   1
    120.5         1
    119.5         1
    116.0         1
    115.0         1
    113.5                             1
    112.5         1                             2
    111.0                             1
    110.5                             1
    110.0         3                   3
    109.0         1
    108.0                                       1
    107.5                             1
    106.5         4                   1
    106.0                                       1
    105.5         2         2
    105.0                                       1
    104.5                   1
    103.0         2                             1
    102.0         1
    101.5         1                   1         1
    101.0         1
    100.5         4                   1
     99.5         3                   3
     99.0                                       1
     98.5         1
     98.0                   1         2
     97.5                             1
     97.0         2                   1
     96.0         3                   1
     95.5         2                   2         1
     95.0         1                   1
     94.5         1
     94.0                   1
     93.5                   1         1         1
     93.0                   1
     92.5                             2
     92.0         1                   1
     91.5         1
     91.0                             1
     90.0                             2
     89.0                             2         1
     88.5         2
     88.0                   2         1
     87.5         3                   2
     87.0                                       1
     86.5         1                   1
     86.0         1                             1
     85.5                   1         2
     85.0         3                   2         1
     84.5                   1
     84.0         1                   2
     83.5                             1         2
     83.0         1
     82.0                   1
     81.5         1
     81.0                   1
     80.5                                       2
     80.0                             2
     79.5         1         2                   1
     79.0         1                   1         1
     78.5                   1         2         1
     78.0         1                   1         1
     77.0         1         1         2         1
     76.5                   1
     76.0                   1         1
     75.5                                       2
     75.0                             1
     74.5                             1         2
     74.0                             1         2
     73.5                                       1
     73.0         1         1
     72.5                   1                   1
     72.0                   1
     71.0                             2         3
     70.5                             1         2
     70.0                                       1
     69.5                   1                   1
     68.0                   1         1
     67.0                             1         2
     66.5         1                             2
     66.0                             1         1
     65.5                   1
     65.0                   1                   1
     64.5                             2         2
     63.5                   2
     63.0                             1         1
     62.0                                       1
     61.0                   1         1
     59.5                                       1
     59.0                   2
     58.5                                       1
     58.0                                       1
     56.0                   1         1         1
     55.5                                       1
     55.0                                       1
     54.0                                       2
     52.0                                       1
     51.5                                       1
     51.0                                       1
     49.0                                       1
     48.0                                       1
     46.5                                       1
     45.5                                       1
     44.5         1
     44.0                                       2
     42.5                                       1
     41.5                             1
     41.0                                       1
     38.5                                       1
     37.0                                       1
     36.0                                       2
     33.0                                       1
     29.5                                       1



                   American Mathematics Competitions
                   2006 AMC 10 A Results for  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 A Results for  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 A Results for  Manitoba                  
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   122.0                                  1
   113.5                                  1
   111.0                                  1
   110.5                                  1
   110.0                           2      1
   107.5                    1
   106.5                                  1
   101.5                                  1
   100.5                                  1
    99.5                           2      1
    98.0                           1      1
    97.5                                  1
    97.0                                  1
    96.0                                  1
    95.5                           1      1
    95.0                           1
    93.5                           1
    92.5                                  2
    92.0                           1
    91.0                                  1
    90.0                           2
    89.0                           1      1
    88.0                                  1
    87.5                           1      1
    86.5                                  1
    85.5                           1      1
    85.0                           1      1
    84.0                                  2
    83.5                           1
    80.0                                  2
    79.0                                  1
    78.5                           1      1
    78.0                                         1
    77.0                           2
    76.0                           1
    75.0                           1
    74.5                                  1
    74.0                                  1
    71.0                           1      1
    70.5                           1
    68.0                                  1
    67.0                                  1
    66.0                                  1
    64.5                           1      1
    63.0                                  1
    61.0                                  1
    56.0                           1
    41.5                                  1



                   American Mathematics Competitions
                   2006 AMC 10 A Results for  Manitoba                  
                              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   10.00*     0.00      0.00      0.00      0.00      0.00      0.00
      2    3.33      0.15      2.88*     0.15      0.91      2.58      0.00
      3    0.00      9.39*     0.00      0.00      0.61      0.00      0.00
      4    1.67      0.00      0.00      0.15      7.73*     0.45      0.00
      5    0.15      0.76      0.45      8.03*     0.45      0.15      0.00
      6    0.45      7.27*     0.30      0.00      0.00      1.97      0.00
      7    7.73*     0.15      0.30      0.15      0.00      1.67      0.00
      8    0.76      0.15      0.45      0.00      1.82*     6.82      0.00
      9    0.30      0.91      8.18*     0.15      0.15      0.30      0.00
     10    0.00      0.15      0.61      4.09      1.36*     3.79      0.00
     11    1.21      0.91      1.06*     0.30      1.21      5.30      0.00
     12    0.15      0.15      7.12*     0.91      0.00      1.67      0.00
     13    0.45      0.30      0.45      6.06*     0.00      2.73      0.00
     14    1.52      5.30*     0.30      0.76      0.00      2.12      0.00
     15    0.45      0.45      0.76      1.67*     0.15      6.52      0.00
     16    0.00      0.45      1.06      0.15*     0.76      7.58      0.00
     17    2.88*     0.15      0.76      0.00      0.15      6.06      0.00
     18    0.91      0.00      3.03*     0.00      0.15      5.91      0.00
     19    0.15      1.36      0.76*     0.15      0.15      7.42      0.00
     20    0.00      0.91      0.15      0.45      0.76*     7.73      0.00
     21    0.45      0.45      0.00      0.00      2.88*     6.21      0.00
     22    0.00      1.06      3.94*     1.82      0.61      2.58      0.00
     23    0.61      1.06*     0.00      0.15      0.15      8.03      0.00
     24    0.45      0.00*     0.30      0.30      0.15      8.79      0.00
     25    1.21      0.30      0.00*     0.15      0.15      8.18      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 A Results for  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 A Results for  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 A Results for  Manitoba                  
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   136.0                                                1
   125.5                                                2
   122.0                                                1
   120.5                                                1
   119.5                                                1
   116.0                                                1
   115.0                                         1
   112.5                                                1
   110.0                                         1      2
   109.0                                         1
   106.5                                         1      3
   105.5                                         1      1
   103.0                                         1      1
   102.0                                         1
   101.5                                                1
   101.0                                         1
   100.5                                         2      2
    99.5                                         2      1
    98.5                                         1
    97.0                                                2
    96.0                                         2      1
    95.5                                         1      1
    95.0                                         1
    94.5                                         1
    92.0                                         1
    91.5                                         1
    88.5                                                2
    87.5                                                3
    86.5                                         1
    86.0                                         1
    85.0                                         3
    84.0                                         1
    83.0                                                1
    81.5                                         1
    79.5                                         1
    79.0                                                1
    78.0                                         1
    77.0                                         1
    73.0                                         1
    66.5                                                1
    44.5                                                1



                   American Mathematics Competitions
                   2006 AMC 12 A Results for  Manitoba                  
                              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   10.00*     0.00      0.00      0.00      0.00      0.00      0.00
      2    2.06      0.00      7.14*     0.00      0.00      0.79      0.00
      3    0.00      9.05*     0.00      0.00      0.95      0.00      0.00
      4    1.59      0.00      0.16      0.00      8.25*     0.00      0.00
      5    0.00      0.48      0.48      8.89*     0.16      0.00      0.00
      6    8.57*     0.00      0.16      0.16      0.00      1.11      0.00
      7    1.59      6.19*     0.32      0.48      0.00      1.43      0.00
      8    0.00      0.63      9.05*     0.16      0.00      0.16      0.00
      9    8.73*     0.32      0.00      0.00      0.32      0.63      0.00
     10    0.00      0.16      1.27      4.13      3.02*     1.43      0.00
     11    2.54      0.32      3.49*     0.16      0.95      2.54      0.00
     12    0.79      7.46*     0.00      0.32      0.00      1.43      0.00
     13    0.16      0.00      0.00      0.00      8.41*     1.43      0.00
     14    0.00      0.00      8.25*     0.48      0.00      1.27      0.00
     15    5.56*     0.79      0.16      0.63      1.43      1.43      0.00
     16    0.16      6.19*     0.00      0.00      0.32      3.33      0.00
     17    0.32      0.95*     0.16      0.32      0.16      8.10      0.00
     18    0.95      0.16      0.00      0.32      0.32*     8.25      0.00
     19    0.16      0.00      0.32      0.16      0.00*     9.37      0.00
     20    0.95      0.63      1.43*     0.32      0.00      6.67      0.00
     21    0.00      0.00      0.16      0.00      0.32*     9.52      0.00
     22    0.00      0.00      0.16      0.16*     0.00      9.68      0.00
     23    0.00      0.16*     0.00      0.00      0.00      9.84      0.00
     24    0.63      0.00      0.00      0.00*     0.00      9.37      0.00
     25    0.00      0.00      0.00      0.16      0.16*     9.68      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  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 B Results for  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 10 B Results for  Manitoba                  
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   112.5                                  2
   108.0                    1
   106.0                                  1
   105.0                                  1
   103.0                                  1
   101.5                                         1
    99.0                                  1
    95.5                                  1
    93.5                                  1
    89.0                                  1
    87.0                                  1
    86.0                                  1
    85.0                                  1
    83.5                           2
    80.5                                  2
    79.5                                  1
    79.0                                  1
    78.5                                  1
    78.0                                  1
    77.0                                  1
    75.5                           1      1
    74.5                           1      1
    74.0                                  2
    73.5                                  1
    72.5                                  1
    71.0                           1      2
    70.5                                  2
    70.0                                  1
    69.5                                  1
    67.0                                  2
    66.5                                  2
    66.0                                  1
    65.0                                  1
    64.5                           1      1
    63.0                                         1
    62.0                                  1
    59.5                           1
    58.5                           1
    58.0                                  1
    56.0                                  1
    55.5                                  1
    55.0                                  1
    54.0                           2
    52.0                                  1
    51.5                                  1
    51.0                                         1
    49.0                                  1
    48.0                                  1
    46.5                                  1
    45.5                                  1
    44.0                                  2
    42.5                                  1
    41.0                                         1
    38.5                                  1
    37.0                           1
    36.0                           1      1
    33.0                                  1
    29.5                                  1



                   American Mathematics Competitions
                   2006 AMC 10 B Results for  Manitoba                  
                              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    0.82      0.27      6.58*     1.64      0.41      0.27      0.00
      2    5.34*     0.82      0.55      0.00      0.68      2.60      0.00
      3    9.04*     0.41      0.00      0.41      0.14      0.00      0.00
      4    0.96      1.64      0.41      3.15*     3.29      0.55      0.00
      5    1.10      6.16*     1.10      0.55      0.00      1.10      0.00
      6    0.41      0.27      2.60      3.70*     0.55      2.47      0.00
      7    1.64*     1.64      0.96      2.05      1.10      2.60      0.00
      8    1.78      1.51*     0.14      1.78      0.82      3.97      0.00
      9    0.55      8.22*     0.00      0.27      0.68      0.27      0.00
     10    1.78*     0.00      1.23      0.00      3.29      3.70      0.00
     11    0.96      0.68      2.47*     0.82      0.27      4.79      0.00
     12    0.41      0.82      0.27      0.41      4.66*     3.42      0.00
     13    1.78      0.14      1.92      1.23      3.01*     1.92      0.00
     14    0.00      0.41      0.14      1.10*     0.14      8.22      0.00
     15    0.55      0.96      2.47*     0.14      0.41      5.48      0.00
     16    2.33      0.14      1.37      0.96      2.47*     2.74      0.00
     17    3.01      1.37      0.96      3.56*     0.27      0.82      0.00
     18    1.10      0.55      1.51      0.14      1.23*     5.48      0.00
     19    0.68*     1.10      0.68      0.27      0.82      6.44      0.00
     20    0.41      0.41      0.14      0.82      1.51*     6.71      0.00
     21    0.55      0.41      1.37*     1.64      0.68      5.34      0.00
     22    0.27      1.37      2.33      1.10*     0.14      4.79      0.00
     23    0.27      0.96      0.68      0.27*     0.14      7.67      0.00
     24    0.41      1.10*     1.10      0.82      0.41      6.16      0.00
     25    0.82      2.05*     0.14      1.51      0.82      4.66      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  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 B Results for  Manitoba                  
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2006 AMC 12 B Results for  Manitoba                  
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   105.5                                         1      1
   104.5                                         1
    98.0                                                1
    94.0                                         1
    93.5                                                1
    93.0                                                1
    88.0                                         2
    85.5                                         1
    84.5                                         1
    82.0                                         1
    81.0                                         1
    79.5                                         1      1
    78.5                                         1
    77.0                                         1
    76.5                                         1
    76.0                                         1
    73.0                                                1
    72.5                                                1
    72.0                                         1
    69.5                                         1
    68.0                                         1
    65.5                                         1
    65.0                                         1
    63.5                                         2
    61.0                                         1
    59.0                                         2
    56.0                                         1



                   American Mathematics Competitions
                   2006 AMC 12 B Results for  Manitoba                  
                              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    0.63      0.00      7.50*     1.56      0.00      0.31      0.00
      2    4.69*     0.63      0.00      0.31      0.31      4.06      0.00
      3    8.75*     0.31      0.00      0.94      0.00      0.00      0.00
      4    9.06*     0.63      0.00      0.00      0.00      0.31      0.00
      5    6.56*     1.88      0.31      0.63      0.00      0.63      0.00
      6    0.00      9.06*     0.00      0.00      0.00      0.94      0.00
      7    0.63      8.75*     0.31      0.31      0.00      0.00      0.00
      8    0.00      0.00      0.31      0.31      6.25*     3.13      0.00
      9    0.00      2.19*     0.31      1.56      0.63      5.31      0.00
     10    0.63*     0.31      0.94      0.31      3.13      4.69      0.00
     11    0.63      0.31      1.56      1.56      3.75*     2.19      0.00
     12    0.63      0.63      0.94      0.63*     0.31      6.88      0.00
     13    0.63      0.94      1.25*     0.31      0.00      6.88      0.00
     14    0.31      0.63      1.88      1.88*     0.31      5.00      0.00
     15    0.00      1.56*     0.94      0.00      0.00      7.50      0.00
     16    0.31      0.31      0.31*     0.63      0.00      8.44      0.00
     17    0.31      0.31      0.94*     2.81      0.31      5.31      0.00
     18    0.63      0.31*     0.63      0.63      0.63      7.19      0.00
     19    0.00      2.50*     0.31      1.25      0.31      5.63      0.00
     20    0.00      0.94      0.31*     0.00      1.88      6.88      0.00
     21    0.31      0.00      0.00*     0.31      0.00      9.38      0.00
     22    0.31      0.31*     0.31      0.00      0.00      9.06      0.00
     23    0.00      0.00      0.31      0.31      0.31*     9.06      0.00
     24    0.00      0.00      0.00*     0.00      0.31      9.69      0.00
     25    0.31      0.63*     0.31      0.00      0.00      8.75      0.00


   (*)  Correct Response

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