American Mathematics Competitions
2006 AMC 10 A Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 176
Number of unofficial participants: 11
Average score of participants: 73.5
Average score for female students is: 69.4 ( 84 Students)
Average score for male students is: 77.6 ( 88 Students)
Average score for unspecified gender is 70.5 ( 4 Students)
Average score for grade 10 is: 76.9 ( 88 Students)
Average score for grade 9 is: 70.7 ( 84 Students)
Average score for grade 8 and below is: 78.5 ( 1 Student)
Average score with unknown grade: 52.0 ( 3 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 10
Average school winning score 100.95
American Mathematics Competitions
2006 AMC 12 A Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 239
Number of unofficial participants: 9
Average score of participants: 85.1
Average score for female students is: 82.9 ( 97 Students)
Average score for male students is: 86.7 ( 137 Students)
Average score for unspecified gender is 84.0 ( 5 Students)
Average score for grade 12 is: 86.2 ( 86 Students)
Average score for grade 11 is: 83.1 ( 114 Students)
Average score for grade 10 is: 88.7 ( 28 Students)
Average score for grade 9 is: 90.3 ( 7 Students)
Average score for grade 8 and below is: 99.5 ( 1 Student)
Average score with unknown grade: 76.3 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 54
Number of schools returning results 11
Average school winning score 111.27
Average school team score 313.59
American Mathematics Competitions
2006 AMC 10 B Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 37
Number of unofficial participants: 0
Average score of participants: 65.7
Average score for female students is: 61.8 ( 13 Students)
Average score for male students is: 66.3 ( 20 Students)
Average score for unspecified gender is 75.4 ( 4 Students)
Average score for grade 10 is: 63.1 ( 26 Students)
Average score for grade 9 is: 69.1 ( 9 Students)
Average score with unknown grade: 84.5 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 2
Average school winning score 106.25
American Mathematics Competitions
2006 AMC 12 B Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 40
Number of unofficial participants: 0
Average score of participants: 79.4
Average score for female students is: 74.3 ( 19 Students)
Average score for male students is: 84.1 ( 19 Students)
Average score for unspecified gender is 82.3 ( 2 Students)
Average score for grade 13 is: 58.5 ( 1 Student)
Average score for grade 12 is: 77.7 ( 21 Students)
Average score for grade 11 is: 79.4 ( 15 Students)
Average score for grade 9 is: 129.0 ( 1 Student)
Average score with unknown grade: 82.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 2
Number of schools returning results 2
Average school winning score 93.25
Average school team score 271.00
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
373.5 1 1
346.5 1 2
341.0 1 3
331.5 1 4
327.0 1 5
324.5 1 6
314.0 1 7
310.5 1 8
293.5 1 9
276.5 1 10
265.5 1 11
245.0 1 12
242.5 1 13
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
136.0 1
129.0 1
125.5 1
124.0 1
122.0 1
119.0 1
118.5 3
118.0 1 1
117.0 1
116.0 2
115.0 1
114.5 1
113.5 1
112.5 3 1
112.0 1
111.5 3
110.0 1
109.0 3
108.0 1
107.5 3
106.5 2 1
105.5 5
105.0 1
104.0 1 2
103.0 6
102.5 1
102.0 4
101.5 3
101.0 7
100.5 1 1
99.5 7
99.0 1
98.5 2
98.0 7 4
97.0 3 1
96.0 7
95.5 1
95.0 1 1
94.5 1 2
94.0 1
93.5 3 1 4 1
93.0 2 1
92.5 2 1 2 1
92.0 2 3
91.5 2
91.0 2 3
90.0 4
89.5 1 2
89.0 4 1
88.5 3 3 1
88.0 1 1
87.5 4
86.5 5 2 2
86.0 3 5
85.5 2 2 2
85.0 3 1 1
84.5 1
84.0 1 3
83.5 1 1 1
83.0 6 1 2 1
82.5 5 2
82.0 3 2
81.5 4 1 3
81.0 3 4
80.5 5 2 1
80.0 1 4
79.5 2 2 3
79.0 1 5
78.5 2 1 1
78.0 1 2 1
77.5 3
77.0 1 1 5 1
76.5 4 3
76.0 3 1
75.5 3 4
75.0 2 3
74.5 1 1
74.0 1 2 1
73.5 4 1
73.0 1 1
72.5 1 3 1
72.0 2 1 2 1
71.5 1 1 1
71.0 5 2 1
70.5 3 2
70.0 2 1
69.5 2 1 6
69.0 1 1 1
68.5 1
68.0 2 1 2
67.5 3 2
67.0 2 1
66.5 3
66.0 1 2 1
65.5 1 1
65.0 1 2
64.5 1 1
64.0 1 1
63.5 2 1 4 1
63.0 1
62.5 1 4
62.0 2 1
61.5 1 1
61.0 2 1
60.5 1
60.0 3 1 2
59.5 3 1
59.0 1
58.5 1 2 2
58.0 1
57.5 1 1
57.0 1
56.5 2 1
56.0 1
55.5 1 1
55.0 2
54.5 3
54.0 1 1
53.5 1
53.0 2
52.5 2 2
52.0 1
50.5 1
50.0 3
49.0 1 1
48.0 1 2
47.5 1
47.0 1
46.0 1
44.5 1
44.0 1
42.5 1
42.0 1 1 2
41.5 2
40.5 1
40.0 1
39.0 1
38.0 1
37.5 1 1 2
36.0 2
32.5 1
31.5 2
30.0 1 1 1
27.0 1
24.0 1
20.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Vermont
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 1 3
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
145.5 120.5 95.5 1
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 2 2
143.0 118.0 1 93.0
142.5 117.5 92.5 2
142.0 117.0 1 92.0 3
141.5 116.5 91.5
141.0 116.0 91.0 2 1
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 1 89.5 2
139.0 114.0 89.0
138.5 113.5 88.5 1 1
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 1 87.0
136.5 111.5 86.5 2
136.0 111.0 86.0 1 4
135.5 110.5 85.5 1 1
135.0 110.0 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 2 1
133.5 108.5 83.5 1
133.0 108.0 83.0 2
132.5 107.5 82.5 1 1
132.0 107.0 82.0
131.5 106.5 1 81.5 1 2
131.0 106.0 81.0 2 2
130.5 105.5 80.5 1 1
130.0 105.0 1 80.0 3 1
129.5 104.5 79.5 1 1
129.0 104.0 2 79.0 3 2
128.5 103.5 78.5 1
128.0 103.0 78.0 1
127.5 102.5 1 77.5
127.0 102.0 77.0 2 3
126.5 101.5 76.5 3
126.0 101.0 76.0
125.5 100.5 1 75.5 4
American Mathematics Competitions
2006 AMC 10 A Results for Vermont
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 3 25.0
74.5 1 49.5 24.5
74.0 1 49.0 1 24.0
73.5 1 48.5 23.5
73.0 1 48.0 23.0
72.5 2 1 47.5 22.5
72.0 1 1 47.0 22.0
71.5 1 46.5 21.5
71.0 1 1 46.0 1 21.0
70.5 2 45.5 20.5
70.0 1 45.0 20.0
69.5 4 2 44.5 19.5
69.0 1 44.0 1 19.0
68.5 43.5 18.5
68.0 1 1 43.0 18.0
67.5 1 1 42.5 17.5
67.0 1 1 42.0 1 17.0
66.5 3 41.5 16.5
66.0 1 1 41.0 16.0
65.5 40.5 1 15.5
65.0 1 1 40.0 1 15.0
64.5 1 39.5 14.5
64.0 1 39.0 14.0
63.5 1 3 38.5 13.5
63.0 1 38.0 1 13.0
62.5 3 1 37.5 1 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 2 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 1 7.5
57.0 32.0 7.0
56.5 1 1 31.5 2 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 30.0 1 5.0
54.5 3 29.5 4.5
54.0 29.0 4.0
53.5 28.5 3.5
53.0 1 1 28.0 3.0
52.5 2 27.5 2.5
52.0 27.0 1 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 Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
118.0 1
117.0 1
114.5 1
112.0 1
106.5 1
105.0 1
104.0 2
102.5 1
100.5 1
99.0 1
98.0 2 2
97.0 1
95.5 1
95.0 1
93.5 1 3
92.5 2
92.0 1 2
91.0 3
89.5 1 1
88.5 3
86.5 2
86.0 2 3
85.5 2
85.0 1
84.0 3
83.5 1
83.0 2
82.5 1 1
81.5 1 2
81.0 1 3
80.5 2
80.0 2 2
79.5 1 1 1
79.0 2 3
78.5 1
78.0 1
77.0 2 3
76.5 2 1
75.5 2 2
75.0 2 1
74.5 1
74.0 1
73.5 1
73.0 1
72.5 2 1
72.0 1 1
71.5 1
71.0 1 1
70.5 1 1
70.0 1
69.5 3 3
69.0 1
68.0 2
67.5 1 1
67.0 1 1
66.5 2 1
66.0 1 1
65.0 1 1
64.5 1
64.0 1
63.5 4
63.0 1
62.5 3 1
62.0 2
61.5 1
60.0 1
59.5 1
59.0 1
58.5 1 1
58.0 1
57.5 1
56.5 2
56.0 1
54.5 3
53.0 1 1
52.5 1 1
50.0 1 2
49.0 1
46.0 1
44.0 1
42.0 1
40.5 1
40.0 1
39.0 1
38.0 1
37.5 1
36.0 2
32.5 1
31.5 1 1
30.0 1
27.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Vermont
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 9.77* 0.06 0.11 0.06 0.00 0.00 0.00
2 1.31 0.28 1.70* 0.23 2.16 4.32 0.00
3 0.06 7.16* 0.23 0.06 2.10 0.40 0.00
4 3.30 0.17 0.06 0.23 5.91* 0.34 0.00
5 0.57 1.59 1.31 6.14* 0.06 0.28 0.06
6 0.17 7.50* 0.11 0.23 0.17 1.82 0.00
7 8.18* 0.11 0.23 0.06 0.34 1.08 0.00
8 0.97 0.57 0.34 0.28 1.82* 6.02 0.00
9 1.70 1.65 5.68* 0.40 0.17 0.40 0.00
10 0.63 0.34 0.97 2.61 0.34* 5.11 0.00
11 1.88 2.27 1.42* 0.34 0.91 3.18 0.00
12 0.68 0.51 4.55* 1.25 0.34 2.67 0.00
13 0.40 1.65 0.17 4.94* 0.23 2.61 0.00
14 1.59 4.49* 0.34 1.25 0.57 1.76 0.00
15 0.74 0.40 0.34 0.97* 0.68 6.88 0.00
16 0.51 0.34 0.17 0.40* 0.63 7.95 0.00
17 2.05* 0.74 0.11 0.23 0.28 6.59 0.00
18 2.84 0.17 1.88* 0.28 0.28 4.55 0.00
19 0.28 1.76 0.68* 0.17 0.28 6.82 0.00
20 0.63 0.68 0.34 0.57 0.45* 7.33 0.00
21 1.36 1.02 0.34 0.45 0.68* 6.14 0.00
22 0.11 0.97 3.13* 4.03 0.63 1.14 0.00
23 1.02 1.14* 0.11 0.17 0.34 7.22 0.00
24 0.28 0.11* 0.63 0.28 0.51 8.18 0.00
25 1.99 0.80 0.51* 0.91 0.28 5.51 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 Vermont
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 4
149.0 124.0 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 5 2
147.5 122.5 97.5
147.0 122.0 1 97.0 2 1
146.5 121.5 96.5
146.0 121.0 96.0 4 3
145.5 120.5 95.5
145.0 120.0 95.0 1
144.5 119.5 94.5 1
144.0 119.0 1 94.0
143.5 118.5 2 1 93.5 2 1
143.0 118.0 93.0 1 1
142.5 117.5 92.5 1 1
142.0 117.0 92.0 1 1
141.5 116.5 91.5 2
141.0 116.0 1 1 91.0 2
140.5 115.5 90.5
140.0 115.0 1 90.0 1 2
139.5 114.5 89.5 1
139.0 114.0 89.0 2 2
138.5 113.5 1 88.5 3
138.0 113.0 88.0 1
137.5 112.5 1 1 87.5 2 2
137.0 112.0 87.0
136.5 111.5 2 1 86.5 1 3
136.0 1 111.0 86.0 2 1
135.5 110.5 85.5 2
135.0 110.0 1 85.0 1 2
134.5 109.5 84.5
134.0 109.0 2 1 84.0
133.5 108.5 83.5 1
133.0 108.0 1 83.0 2 4
132.5 107.5 1 2 82.5 5
132.0 107.0 82.0 3
131.5 106.5 2 81.5 3 1
131.0 106.0 81.0 2 1
130.5 105.5 4 1 80.5 3 1
130.0 105.0 80.0 1
129.5 104.5 79.5 2
129.0 104.0 1 79.0 1
128.5 103.5 78.5 1 1
128.0 103.0 5 1 78.0 1
127.5 102.5 77.5 2 1
127.0 102.0 4 77.0 1
126.5 101.5 2 1 76.5 3 1
126.0 101.0 2 5 76.0 1 2
125.5 1 100.5 1 75.5 1 2
American Mathematics Competitions
2006 AMC 12 A Results for Vermont
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 25.0
74.5 1 49.5 24.5
74.0 1 49.0 1 24.0 1
73.5 3 1 48.5 23.5
73.0 1 48.0 1 23.0
72.5 1 47.5 1 22.5
72.0 1 1 47.0 22.0
71.5 1 46.5 21.5
71.0 3 2 46.0 21.0
70.5 2 1 45.5 20.5
70.0 2 45.0 20.0
69.5 2 44.5 19.5
69.0 1 44.0 19.0
68.5 1 43.5 18.5
68.0 2 43.0 18.0
67.5 1 2 42.5 17.5
67.0 42.0 1 17.0
66.5 41.5 1 1 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 1 37.5 1 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 2 36.0 11.0
60.5 1 35.5 10.5
60.0 1 2 35.0 10.0
59.5 2 1 34.5 9.5
59.0 34.0 9.0
58.5 1 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 1 30.5 5.5
55.0 2 30.0 1 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 2 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 12 A Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
125.5 1
122.0 1
119.0 1
118.5 2 1
116.0 1 1
115.0 1
113.5 1
112.5 1 2
111.5 1 2
110.0 1
109.0 3
108.0 1
107.5 1 2
106.5 1 1
105.5 3 2
104.0 1
103.0 3 3
102.0 2 2
101.5 2 1
101.0 3 3 1
100.5 1
99.5 1 4 2
98.5 1 1
98.0 3 4
97.0 2 1
96.0 1 2 4
95.0 1
94.5 1
93.5 1 1 1
93.0 2
92.5 1 1
92.0 1 1
91.5 1 1
91.0 1 1
90.0 2 1 1
89.5 1
89.0 1 2 1
88.5 2 1
88.0 1
87.5 2 2
86.5 1 1 3
86.0 3
85.5 1 1
85.0 2 1
83.5 1
83.0 1 3 2
82.5 1 3 1
82.0 2 1
81.5 1 3
81.0 3
80.5 1 4
80.0 1
79.5 1 1
79.0 1
78.5 2
78.0 1
77.5 1 2
77.0 1
76.5 1 3
76.0 1 2
75.5 1 2
75.0 1 1
74.5 1
74.0 1
73.5 2 2
73.0 1
72.5 1
72.0 1 1
71.5 1
71.0 2 3
70.5 1 2
70.0 1 1
69.5 2
69.0 1
68.5 1
68.0 1 1
67.5 1 2
65.5 1
65.0 1
63.5 1 1
62.5 1
61.5 1
61.0 1 1
60.5 1
60.0 3
59.5 2 1
58.5 1
55.5 1
55.0 2
54.0 1
53.5 1
52.5 1 1
52.0 1
50.5 1
49.0 1
48.0 1
47.5 1
42.0 1
41.5 1 1
37.5 1
30.0 1
24.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Vermont
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.92* 0.00 0.00 0.08 0.00 0.00 0.00
2 1.26 0.08 4.35* 0.17 1.09 3.05 0.00
3 0.00 8.66* 0.08 0.04 1.17 0.04 0.00
4 2.05 0.13 0.13 0.17 7.28* 0.25 0.00
5 0.17 0.63 0.96 7.95* 0.08 0.21 0.00
6 8.03* 0.00 0.25 0.33 0.04 1.30 0.04
7 0.46 4.90* 1.09 0.54 0.79 2.22 0.00
8 0.88 1.55 6.69* 0.21 0.04 0.63 0.00
9 8.62* 0.25 0.08 0.04 0.17 0.84 0.00
10 0.21 0.33 0.75 3.77 2.09* 2.85 0.00
11 2.01 0.88 2.05* 1.05 0.59 3.43 0.00
12 1.63 5.86* 0.13 0.59 0.38 1.42 0.00
13 0.54 0.13 0.29 0.04 6.65* 2.30 0.04
14 0.04 0.46 5.10* 2.59 0.29 1.51 0.00
15 3.14* 1.00 0.42 0.50 0.96 3.97 0.00
16 0.33 4.44* 0.00 0.13 0.59 4.52 0.00
17 0.17 0.71* 0.42 0.59 0.13 7.99 0.00
18 1.80 0.21 0.33 0.50 0.33* 6.82 0.00
19 0.08 0.17 0.13 0.13 0.33* 9.16 0.00
20 2.13 0.54 0.67* 0.21 0.08 6.36 0.00
21 0.08 0.17 0.29 0.08 0.13* 9.25 0.00
22 0.00 0.00 0.42 0.04* 0.04 9.50 0.00
23 0.04 0.21* 0.08 0.04 0.25 9.37 0.00
24 1.67 0.13 0.21 0.25* 0.08 7.66 0.00
25 0.17 0.13 0.21 0.13 0.04* 9.33 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 10 B Results for Vermont
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 1 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
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 2
144.0 119.0 94.0
143.5 118.5 93.5 1
143.0 118.0 93.0 1
142.5 117.5 92.5 1
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 1
138.0 113.0 88.0
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
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0
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 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
129.0 104.0 79.0
128.5 103.5 78.5
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
126.0 101.0 76.0
125.5 100.5 75.5
American Mathematics Competitions
2006 AMC 10 B Results for Vermont
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 2 23.0
72.5 1 47.5 22.5
72.0 1 47.0 1 22.0
71.5 46.5 21.5
71.0 1 46.0 21.0
70.5 45.5 20.5 1
70.0 45.0 20.0
69.5 44.5 1 19.5
69.0 1 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0
67.5 42.5 1 17.5
67.0 42.0 2 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 37.5 2 12.5
62.0 1 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 1 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 1 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 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 B Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
124.0 1
112.5 1
94.5 2
93.5 1
93.0 1
92.5 1
88.5 1
83.0 1
80.5 1
77.0 1
72.5 1
72.0 1
71.0 1
69.0 1
67.0 1
66.0 1
65.5 1
63.5 1
62.0 1
61.0 1
60.0 2
57.5 1
56.5 1
55.5 1
48.0 2
47.0 1
44.5 1
42.5 1
42.0 1 1
37.5 2
30.0 1
20.5 1
American Mathematics Competitions
2006 AMC 10 B Results for Vermont
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 1.08 0.81 5.14* 1.89 0.54 0.54 0.00
2 4.59* 1.35 0.00 0.81 0.81 2.43 0.00
3 8.65* 0.27 0.00 0.81 0.27 0.00 0.00
4 2.43 1.89 0.81 3.24* 1.35 0.27 0.00
5 0.27 5.68* 2.70 0.54 0.00 0.81 0.00
6 0.54 0.81 2.70 4.05* 0.54 1.35 0.00
7 1.89* 1.89 1.35 1.35 1.62 1.89 0.00
8 1.35 2.70* 0.27 2.16 0.54 2.97 0.00
9 0.27 8.38* 0.00 0.54 0.81 0.00 0.00
10 1.89* 0.00 1.62 1.08 2.97 2.43 0.00
11 1.08 0.54 4.59* 1.35 0.27 2.16 0.00
12 0.54 1.35 0.54 0.54 5.41* 1.62 0.00
13 1.08 0.00 2.16 1.35 3.51* 1.89 0.00
14 0.27 1.08 0.81 2.16* 0.81 4.86 0.00
15 1.62 0.27 3.51* 0.54 0.54 3.51 0.00
16 1.62 1.62 1.89 0.81 2.43* 1.62 0.00
17 3.24 2.43 1.08 1.62* 0.00 1.62 0.00
18 0.54 0.54 1.62 0.54 0.81* 5.95 0.00
19 0.27* 1.35 0.81 0.81 0.81 5.95 0.00
20 0.27 1.08 1.35 1.08 1.08* 5.14 0.00
21 0.27 1.08 2.16* 1.62 1.62 3.24 0.00
22 0.54 0.81 2.70 1.35* 0.27 4.32 0.00
23 0.27 1.35 1.89 0.27* 0.27 5.95 0.00
24 0.27 1.35* 1.62 0.27 0.81 5.68 0.00
25 0.00 3.51* 0.27 1.62 0.54 4.05 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 Vermont
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
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 1 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 1
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 2
135.0 110.0 85.0 1
134.5 109.5 84.5 1
134.0 109.0 84.0 1
133.5 108.5 83.5 1
133.0 108.0 83.0 1
132.5 107.5 82.5
132.0 107.0 82.0 2
131.5 106.5 81.5 1
131.0 106.0 81.0
130.5 105.5 80.5
130.0 105.0 80.0
129.5 104.5 79.5 1 1
129.0 1 104.0 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 1
126.5 101.5 76.5
126.0 101.0 76.0 1
125.5 100.5 75.5
American Mathematics Competitions
2006 AMC 12 B Results for Vermont
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 2 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 1 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 1 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 1 39.5 14.5
64.0 1 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 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 2 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 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 B Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
129.0 1
118.0 1
94.0 1
93.5 1
92.5 1
89.0 1
88.0 1
86.5 2
85.5 2
85.0 1
84.5 1
84.0 1
83.5 1
83.0 1
82.0 2
81.5 1
79.5 2
78.5 1
78.0 2
77.0 1
76.0 1
74.0 2
72.0 1
71.5 1
69.5 1
68.0 1
66.0 1
64.5 1
64.0 1
63.5 1
58.5 1 1
57.0 1
54.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Vermont
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 0.50 0.25 6.75* 1.25 0.75 0.50 0.00
2 7.50* 0.75 0.00 0.00 0.50 1.25 0.00
3 8.75* 0.25 0.00 1.00 0.00 0.00 0.00
4 9.50* 0.00 0.00 0.00 0.00 0.50 0.00
5 7.50* 0.75 0.25 0.00 0.00 1.50 0.00
6 0.00 9.00* 0.00 0.00 0.50 0.50 0.00
7 0.50 8.75* 0.50 0.25 0.00 0.00 0.00
8 0.50 0.75 0.00 0.00 6.50* 2.25 0.00
9 0.50 3.75* 0.00 0.75 0.50 4.50 0.00
10 2.00* 0.25 2.25 1.00 2.00 2.50 0.00
11 1.75 0.00 1.50 1.50 3.00* 2.25 0.00
12 0.50 1.00 0.25 0.50* 0.75 7.00 0.00
13 1.75 1.50 2.50* 0.00 0.25 4.00 0.00
14 0.00 0.25 3.50 1.50* 0.25 4.50 0.00
15 0.25 1.75* 1.00 0.75 0.50 5.75 0.00
16 0.00 1.50 0.50* 0.00 0.25 7.75 0.00
17 0.75 0.50 1.00* 1.50 1.25 5.00 0.00
18 1.25 0.75* 1.00 0.75 0.00 6.25 0.00
19 0.25 1.75* 0.50 2.25 0.00 5.25 0.00
20 1.25 0.25 0.00* 0.00 0.50 8.00 0.00
21 0.50 0.25 0.25* 0.00 0.00 9.00 0.00
22 0.25 1.00* 0.00 0.25 0.00 8.50 0.00
23 0.75 0.00 0.00 0.50 0.00* 8.75 0.00
24 0.00 0.25 0.25* 0.50 0.00 9.00 0.00
25 0.00 0.25* 0.50 0.25 0.00 9.00 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column