American Mathematics Competitions
2006 AMC 10 A Results for Quebec
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 27
Number of unofficial participants: 0
Average score of participants: 84.5
Average score for female students is: 79.7 ( 10 Students)
Average score for male students is: 87.4 ( 17 Students)
Average score for grade 10 is: 83.2 ( 25 Students)
Average score for grade 9 is: 104.0 ( 1 Student)
Average score with unknown grade: 97.0 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 2
Average school winning score 102.00
American Mathematics Competitions
2006 AMC 12 A Results for Quebec
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 75
Number of unofficial participants: 0
Average score of participants: 89.4
Average score for female students is: 90.6 ( 18 Students)
Average score for male students is: 89.8 ( 51 Students)
Average score for unspecified gender is 82.7 ( 6 Students)
Average score for grade 13 is: 93.3 ( 26 Students)
Average score for grade 12 is: 90.0 ( 24 Students)
Average score for grade 11 is: 84.5 ( 21 Students)
Average score with unknown grade: 86.5 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 18
Number of schools returning results 8
Average school winning score 104.50
Average school team score 281.75
American Mathematics Competitions
2006 AMC 10 B Results for Quebec
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 43
Number of unofficial participants: 0
Average score of participants: 70.0
Average score for female students is: 65.8 ( 22 Students)
Average score for male students is: 74.7 ( 19 Students)
Average score for unspecified gender is 71.5 ( 2 Students)
Average score for grade 10 is: 70.6 ( 42 Students)
Average score with unknown grade: 43.5 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 2
Average school winning score 94.00
American Mathematics Competitions
2006 AMC 12 B Results for Quebec
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 254
Number of unofficial participants: 0
Average score of participants: 90.8
Average score for female students is: 87.3 ( 78 Students)
Average score for male students is: 92.8 ( 170 Students)
Average score for unspecified gender is 79.7 ( 6 Students)
Average score for grade 13 is: 94.9 ( 104 Students)
Average score for grade 12 is: 88.2 ( 129 Students)
Average score for grade 11 is: 87.5 ( 12 Students)
Average score with unknown grade: 84.0 ( 9 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 61
Number of schools returning results 25
Average school winning score 105.34
Average school team score 276.86
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
374.0 1 1
362.0 1 2
340.0 2 3
338.5 1 5
335.5 1 6
331.5 1 7
325.5 1 8
322.0 1 9
319.5 1 10
315.5 1 11
315.0 1 12
313.0 1 13
312.0 2 14
311.0 1 16
309.0 1 17
304.5 1 18
303.5 1 19
300.5 1 20
300.0 1 21
299.0 1 22
296.5 1 23
283.5 1 24
281.5 1 25
280.5 1 26
262.0 1 27
178.0 1 28
174.0 1 29
110.5 1 30
92.0 1 31
73.0 1 32
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
132.5 1
129.0 1
126.5 1
123.0 2
122.0 1
119.5 1
118.5 1 1
117.0 1
116.0 1
115.0 3
113.5 1
112.5 1 3
112.0 1
111.5 1
111.0 1
110.0 1 3
109.0 2 6
108.5 1
108.0 5
106.5 4
105.5 4
105.0 1 1
104.5 5
104.0 3 1 1
103.0 4
102.0 5
101.5 1
101.0 7
100.5 4 1
99.5 1 11
99.0 1
98.5 3 3
98.0 1
97.5 2
97.0 1 3 4
96.0 5 7
95.5 1
95.0 1 14
94.5 2 2 1
94.0 1 1
93.5 3 1
92.5 10
92.0 1 1 1
91.5 6 1
91.0 2 3
90.0 3 4 2
89.5 1 2
89.0 1 12
88.5 1 4
88.0 4 2
87.5 3 4 1
86.5 1 9 2
86.0 1 1
85.5 6
85.0 2 4 1
84.5 4 1
84.0 1 3
83.5 3 1
83.0 2 11 1
82.5 1 1
82.0 3 1
81.5 1 1
81.0 1 1
80.5 1 4 1
80.0 1 1
79.5 7 1
79.0 1
78.5 1 2
78.0 2 4 1
77.5 1 1
77.0 4 2
76.5 2 2
75.5 1 1
75.0 1 1
74.5 2 1
74.0 2
73.5 1
73.0 1 3 2
72.5 3
72.0 2 1
71.5 1 1
71.0 1
70.5 1
70.0 1 1 1 1
69.5 1
68.5 2
68.0 2
67.0 1
66.0 1 1 1
65.5 1
63.5 1 1 1
62.5 4
61.5 1
60.5 1 1 1
60.0 1 1
59.0 1
58.0 3
57.0 1
56.5 1
56.0 1
54.0 1 1 1
53.5 1
53.0 1
52.5 1
51.5 1
51.0 2
50.5 1
50.0 1
49.0 1
48.0 1
43.5 1
42.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Quebec
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
147.5 122.5 97.5
147.0 122.0 97.0 2 2
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 1
144.0 119.0 94.0 1
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 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5 1 1
139.0 114.0 89.0
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 87.0
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
134.5 109.5 84.5 1
134.0 109.0 84.0
133.5 108.5 1 83.5
133.0 108.0 83.0
132.5 107.5 82.5
132.0 107.0 82.0
131.5 106.5 81.5
131.0 106.0 81.0 1
130.5 105.5 80.5
130.0 105.0 1 80.0
129.5 104.5 79.5
129.0 104.0 1 79.0
128.5 103.5 78.5
128.0 103.0 78.0
127.5 102.5 77.5 1
127.0 102.0 77.0
126.5 101.5 76.5
126.0 101.0 76.0
125.5 100.5 75.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Quebec
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 49.5 24.5
74.0 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 46.0 21.0
70.5 45.5 20.5
70.0 1 45.0 20.0
69.5 44.5 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 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 1 38.5 13.5
63.0 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 1 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 1 29.0 4.0
53.5 1 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 Quebec
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
108.5 1
105.0 1
104.0 1
97.0 3 1
95.5 1
94.5 1
94.0 1
92.0 1
91.5 1
89.5 2
87.5 1
86.0 1
84.5 1
81.0 1
77.5 1
75.5 1
75.0 1
70.0 1
63.5 1
61.5 1
60.0 1
54.0 1
53.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Quebec
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 2.59 0.00 3.70* 0.00 1.48 2.22 0.00
3 0.00 9.26* 0.00 0.00 0.74 0.00 0.00
4 0.74 0.74 0.00 0.00 8.15* 0.37 0.00
5 0.00 1.11 1.48 7.41* 0.00 0.00 0.00
6 0.00 8.15* 0.74 0.00 0.00 1.11 0.00
7 8.52* 0.00 1.11 0.00 0.37 0.00 0.00
8 1.11 1.11 0.00 0.00 3.70* 4.07 0.00
9 1.11 0.37 7.78* 0.74 0.00 0.00 0.00
10 0.74 0.00 1.85 5.19 0.37* 1.85 0.00
11 1.48 2.22 0.74* 1.48 0.74 3.33 0.00
12 0.00 0.00 6.67* 2.59 0.00 0.74 0.00
13 0.37 0.37 0.00 7.78* 0.37 1.11 0.00
14 0.74 7.41* 0.00 0.37 0.00 1.48 0.00
15 1.11 0.37 0.00 1.85* 1.11 5.56 0.00
16 0.74 0.37 0.74 0.00* 1.85 6.30 0.00
17 4.44* 0.74 0.00 0.00 0.00 4.81 0.00
18 1.85 0.00 4.44* 0.00 0.74 2.96 0.00
19 0.37 1.48 0.00* 0.74 1.11 6.30 0.00
20 0.00 2.22 0.00 0.74 1.11* 5.93 0.00
21 1.11 0.37 0.74 1.85 1.11* 4.81 0.00
22 0.37 1.11 4.44* 2.59 0.37 1.11 0.00
23 0.00 1.11* 0.37 0.00 0.74 7.78 0.00
24 0.37 0.00* 0.74 0.37 0.00 8.52 0.00
25 1.85 0.74 0.74* 0.00 0.37 6.30 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 Quebec
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 1
149.0 124.0 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 2 3
145.5 120.5 95.5
145.0 120.0 95.0 1
144.5 119.5 1 94.5 2
144.0 119.0 94.0
143.5 118.5 1 93.5 3
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 2
140.5 115.5 90.5
140.0 115.0 90.0 2 1
139.5 114.5 89.5 1
139.0 114.0 89.0 1
138.5 113.5 88.5 1
138.0 113.0 88.0
137.5 112.5 1 87.5 3
137.0 112.0 87.0
136.5 111.5 86.5 1
136.0 111.0 86.0 1
135.5 110.5 85.5
135.0 110.0 1 85.0 1
134.5 109.5 84.5
134.0 109.0 2 84.0 1
133.5 108.5 83.5
133.0 108.0 83.0 1 1
132.5 107.5 82.5 1
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 80.5 1
130.0 105.0 80.0 1
129.5 104.5 79.5
129.0 104.0 3 79.0
128.5 103.5 78.5 1
128.0 103.0 78.0 1 1
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 1 76.5 1
126.0 101.0 76.0
125.5 100.5 3 1 75.5
American Mathematics Competitions
2006 AMC 12 A Results for Quebec
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 48.0 23.0
72.5 47.5 22.5
72.0 2 47.0 22.0
71.5 1 46.5 21.5
71.0 46.0 21.0
70.5 1 45.5 20.5
70.0 1 45.0 20.0
69.5 44.5 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 41.5 16.5
66.0 1 41.0 16.0
65.5 1 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 1 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 1 35.5 10.5
60.0 1 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 1 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 Quebec
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
119.5 1
118.5 1
112.5 1
110.0 1
109.0 1 1
106.5 1 3
104.0 1 2
101.5 1
100.5 1 1 2
99.5 1
98.5 1 2
97.0 1
96.0 1 1 3
95.0 1
94.5 1 1
93.5 2 1
92.0 1
91.0 1 1
90.0 1 1 1
89.5 1
89.0 1
88.5 1
87.5 3
86.5 1
86.0 1
85.0 1 1
84.0 1
83.0 1 1
82.5 1
81.5 1
80.5 1
80.0 1
78.5 1
78.0 2
76.5 1 1
73.0 1
72.0 1 1
71.5 1
71.0 1
70.5 1
70.0 1
66.0 1
65.5 1
63.5 1
60.5 1
60.0 1
54.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Quebec
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 9.87* 0.00 0.00 0.00 0.13 0.00 0.00
2 1.60 0.27 4.80* 0.13 1.33 1.87 0.00
3 0.00 9.07* 0.00 0.00 0.93 0.00 0.00
4 1.87 1.07 0.00 0.13 6.93* 0.00 0.00
5 0.00 0.67 1.07 8.13* 0.00 0.13 0.00
6 8.00* 0.13 0.13 0.13 0.13 1.47 0.00
7 0.80 6.93* 0.40 0.40 0.13 1.33 0.00
8 2.13 0.93 6.27* 0.13 0.00 0.53 0.00
9 8.13* 0.27 0.00 0.00 0.53 1.07 0.00
10 0.13 0.00 0.53 4.80 2.53* 2.00 0.00
11 2.27 1.60 2.53* 0.53 0.40 2.67 0.00
12 1.20 7.20* 0.00 0.27 0.13 1.20 0.00
13 0.40 0.00 0.13 0.13 7.33* 2.00 0.00
14 0.00 0.53 6.67* 1.33 0.13 1.33 0.00
15 5.07* 0.53 0.27 0.40 1.73 2.00 0.00
16 0.00 6.00* 0.13 0.13 0.53 3.20 0.00
17 0.27 0.27* 0.67 0.13 0.13 8.53 0.00
18 0.80 0.00 0.40 0.53 0.53* 7.73 0.00
19 0.00 0.27 0.13 0.13 0.27* 9.20 0.00
20 1.33 0.40 0.67* 0.13 0.27 7.20 0.00
21 0.27 0.13 0.13 0.13 0.00* 9.33 0.00
22 0.00 0.40 0.13 0.13* 0.40 8.93 0.00
23 0.00 0.27* 0.13 0.27 0.40 8.93 0.00
24 0.27 0.00 0.53 0.13* 0.27 8.80 0.00
25 0.27 0.27 0.00 0.13 0.13* 9.20 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 Quebec
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
143.5 118.5 93.5
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 2
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 2
136.0 111.0 86.0
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 1
133.0 108.0 83.0 1
132.5 107.5 82.5 1
132.0 107.0 82.0 1
131.5 106.5 81.5
131.0 106.0 81.0
130.5 105.5 80.5 1
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 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
American Mathematics Competitions
2006 AMC 10 B Results for Quebec
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 1 49.5 24.5
74.0 1 1 49.0 1 24.0
73.5 1 48.5 23.5
73.0 1 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 1 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 1 1 43.5 1 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 1 42.0 1 1 17.0
66.5 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 1 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 1 32.0 7.0
56.5 1 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 1 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 1 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Quebec
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
98.0 1
90.0 2
88.0 2
86.5 2
85.0 1
83.5 1
83.0 1
82.5 1
82.0 1
80.5 1
79.5 1
79.0 1
78.0 1
77.0 2
74.5 1
74.0 2
73.5 1
73.0 2
70.0 1
68.5 2
67.0 1
66.0 1
60.5 1
57.0 1
56.5 1
54.0 1
53.0 1
52.5 1
51.5 1
51.0 2
50.5 1
49.0 1
43.5 1
42.0 2
American Mathematics Competitions
2006 AMC 10 B Results for Quebec
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 0.23 0.70 4.65* 2.79 1.40 0.23 0.00
2 5.81* 0.00 0.00 0.00 0.00 4.19 0.00
3 8.14* 0.00 0.00 1.40 0.47 0.00 0.00
4 1.63 0.47 1.16 4.88* 1.63 0.23 0.00
5 1.86 4.65* 1.16 0.47 0.70 1.16 0.00
6 0.47 0.70 1.86 5.12* 0.47 1.40 0.00
7 1.63* 3.26 1.40 0.47 0.47 2.79 0.00
8 1.86 2.79* 0.00 1.16 2.33 1.86 0.00
9 0.00 9.53* 0.00 0.23 0.00 0.23 0.00
10 1.63* 0.23 2.09 0.23 3.72 2.09 0.00
11 0.00 0.23 3.02* 0.70 0.93 5.12 0.00
12 0.00 0.70 0.00 0.47 4.88* 3.95 0.00
13 1.16 0.23 0.93 0.47 3.49* 3.72 0.00
14 0.23 0.23 0.23 0.23* 0.00 9.07 0.00
15 1.16 0.47 2.56* 0.00 0.47 5.35 0.00
16 1.16 0.47 1.40 1.16 2.79* 3.02 0.00
17 1.63 2.79 1.86 2.33* 0.23 1.16 0.00
18 0.93 0.47 0.93 0.47 0.23* 6.98 0.00
19 0.70* 1.16 0.70 0.23 0.00 7.21 0.00
20 0.93 0.00 0.23 0.93 0.47* 7.44 0.00
21 0.23 0.47 0.47* 1.86 0.47 6.51 0.00
22 0.23 0.70 0.70 1.86* 0.00 6.51 0.00
23 0.23 0.47 0.23 0.00* 0.23 8.84 0.00
24 0.23 0.93* 0.70 0.23 0.00 7.91 0.00
25 0.23 0.47* 0.47 1.40 0.23 7.21 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 Quebec
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 9 2
149.0 124.0 99.0 1
148.5 123.5 98.5 2 1
148.0 123.0 2 98.0
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 3
146.5 121.5 96.5
146.0 121.0 96.0 3 3
145.5 120.5 95.5
145.0 120.0 95.0 11 3
144.5 119.5 94.5 2
144.0 119.0 94.0 1
143.5 118.5 1 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 6 4
142.0 117.0 1 92.0 1
141.5 116.5 91.5 3 3
141.0 116.0 1 91.0 3
140.5 115.5 90.5
140.0 115.0 3 90.0 1 3
139.5 114.5 89.5
139.0 114.0 89.0 7 5
138.5 113.5 1 88.5 2 2
138.0 113.0 88.0 4
137.5 112.5 3 87.5 3 1
137.0 112.0 1 87.0
136.5 111.5 1 86.5 4 5
136.0 111.0 1 86.0
135.5 110.5 85.5 4 2
135.0 110.0 2 1 85.0 2 1
134.5 109.5 84.5 2 2
134.0 109.0 5 1 84.0 3
133.5 108.5 83.5 3
133.0 108.0 5 83.0 6 4
132.5 1 107.5 82.5
132.0 107.0 82.0 1 2
131.5 106.5 81.5 1
131.0 106.0 81.0 1
130.5 105.5 2 2 80.5 2 2
130.0 105.0 1 80.0 1
129.5 104.5 3 2 79.5 4 3
129.0 1 104.0 1 79.0
128.5 103.5 78.5 1
128.0 103.0 4 78.0 1 3
127.5 102.5 77.5 1
127.0 102.0 4 1 77.0 3 1
126.5 1 101.5 76.5 2
126.0 101.0 6 1 76.0
125.5 100.5 1 75.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Quebec
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 25.0
74.5 2 49.5 24.5
74.0 49.0 24.0
73.5 48.5 23.5
73.0 2 48.0 1 23.0
72.5 1 2 47.5 22.5
72.0 1 47.0 22.0
71.5 1 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 1 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 2 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 1 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 1 38.5 13.5
63.0 38.0 13.0
62.5 1 2 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 1 34.0 9.0
58.5 33.5 8.5
58.0 1 2 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 Quebec
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
132.5 1
129.0 1
126.5 1
123.0 1 1
122.0 1
118.5 1
117.0 1
116.0 1
115.0 1 2
113.5 1
112.5 1 2
112.0 1
111.5 1
111.0 1
110.0 2 1
109.0 3 3
108.0 4 1
105.5 1 1 2
105.0 1
104.5 1 4
104.0 1
103.0 1 3
102.0 1 4
101.0 5 2
100.5 1
99.5 1 5 5
99.0 1
98.5 1 1 1
97.5 2
97.0 1 2
96.0 1 3 3
95.0 1 4 9
94.5 2
94.0 1
93.5 1
92.5 5 5
92.0 1
91.5 4 2
91.0 3
90.0 1 2 1
89.0 4 8
88.5 1 2 1
88.0 2 2
87.5 2 1 1
86.5 1 5 3
85.5 4 2
85.0 1 1 1 1
84.5 1 3
84.0 1 1 1
83.5 1 1 1
83.0 5 5 1
82.0 3
81.5 1
81.0 1
80.5 2 1 1
80.0 1
79.5 5 2
78.5 1 1
78.0 4
77.5 1
77.0 3 1
76.5 1 1
75.5 1
75.0 1
74.5 1 1
73.0 2 1
72.5 3
72.0 1
71.5 1
70.0 1
69.5 1
68.0 1 1
66.0 1
63.5 1
62.5 1 2 1
60.5 1
59.0 1
58.0 2 1
56.0 1
50.0 1
48.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Quebec
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 0.04 0.12 9.02* 0.51 0.28 0.04 0.00
2 7.99* 0.16 0.04 0.04 0.24 1.54 0.00
3 8.78* 0.28 0.00 0.35 0.43 0.16 0.00
4 9.25* 0.28 0.08 0.08 0.04 0.28 0.00
5 8.74* 0.39 0.04 0.12 0.08 0.63 0.00
6 0.00 9.45* 0.24 0.04 0.12 0.16 0.00
7 0.31 8.66* 0.16 0.20 0.16 0.51 0.00
8 0.24 0.24 0.08 0.28 8.54* 0.59 0.04
9 0.28 5.04* 0.20 0.71 0.47 3.31 0.00
10 2.48* 0.00 0.51 0.08 4.02 2.91 0.00
11 0.59 0.08 0.31 0.63 6.38* 2.01 0.00
12 0.59 0.51 0.67 1.77* 0.63 5.83 0.00
13 0.91 0.31 3.46* 0.12 0.20 5.00 0.00
14 0.12 0.12 0.98 2.32* 0.04 6.42 0.00
15 0.28 3.19* 1.06 0.20 0.04 5.24 0.00
16 0.12 0.04 1.54* 0.16 0.24 7.91 0.00
17 0.59 0.24 1.18* 0.67 0.12 7.20 0.00
18 0.28 0.94* 1.10 0.08 0.20 7.40 0.00
19 0.12 1.61* 0.12 1.10 0.16 6.89 0.00
20 0.08 0.12 0.24* 0.08 0.67 8.78 0.04
21 0.04 0.04 0.08* 0.08 0.08 9.69 0.00
22 0.00 0.04* 0.00 0.16 0.12 9.69 0.00
23 0.08 0.12 0.16 0.16 0.04* 9.45 0.00
24 0.04 0.08 0.12* 0.00 0.00 9.76 0.00
25 0.04 0.04* 0.00 0.24 0.04 9.65 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column