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