American Mathematics Competitions
2005 AMC 10 A Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 109
Number of unofficial participants: 0
Average score of participants: 74.8
Average score for female students is: 73.7 ( 48 Students)
Average score for male students is: 75.0 ( 57 Students)
Average score for unspecified gender is 84.0 ( 4 Students)
Average score for grade 10 is: 74.3 ( 72 Students)
Average score for grade 9 is: 76.9 ( 31 Students)
Average score for grade 8 and below is: 69.3 ( 5 Students)
Average score with unknown grade: 71.5 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 9
Average school winning score 95.89
American Mathematics Competitions
2005 AMC 12 A Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 184
Number of unofficial participants: 0
Average score of participants: 83.9
Average score for female students is: 79.4 ( 71 Students)
Average score for male students is: 87.3 ( 109 Students)
Average score for unspecified gender is 74.3 ( 4 Students)
Average score for grade 12 is: 84.0 ( 74 Students)
Average score for grade 11 is: 82.2 ( 84 Students)
Average score for grade 10 is: 88.5 ( 17 Students)
Average score for grade 9 is: 89.8 ( 7 Students)
Average score for grade 8 and below is: 104.0 ( 1 Student)
Average score with unknown grade: 81.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 27
Number of schools returning results 9
Average school winning score 109.44
Average school team score 307.06
American Mathematics Competitions
2005 AMC 10 B Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 75
Number of unofficial participants: 0
Average score of participants: 74.7
Average score for female students is: 74.7 ( 32 Students)
Average score for male students is: 75.1 ( 39 Students)
Average score for unspecified gender is 71.0 ( 4 Students)
Average score for grade 10 is: 75.8 ( 39 Students)
Average score for grade 9 is: 75.1 ( 33 Students)
Average score for grade 8 and below is: 57.0 ( 1 Student)
Average score with unknown grade: 54.8 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 4
Average school winning score 98.13
American Mathematics Competitions
2005 AMC 12 B Results for Vermont
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 134
Number of unofficial participants: 0
Average score of participants: 78.2
Average score for female students is: 76.6 ( 70 Students)
Average score for male students is: 79.7 ( 63 Students)
Average score for unspecified gender is 87.5 ( 1 Student)
Average score for grade 12 is: 79.0 ( 62 Students)
Average score for grade 11 is: 77.9 ( 67 Students)
Average score for grade 10 is: 72.5 ( 4 Students)
Average score with unknown grade: 70.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 5
Number of schools returning results 4
Average school winning score 102.75
Average school team score 294.50
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
392.0 1 1
369.0 1 2
337.0 1 3
324.5 1 4
321.0 1 5
318.0 1 6
302.0 1 7
292.0 1 8
286.0 1 9
269.5 1 10
263.0 1 11
262.5 1 12
205.0 1 13
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
140.5 1
134.5 1
127.5 1
124.0 1 1
123.0 1
122.0 1
120.5 1
114.0 1
113.5 1
112.5 1 1
112.0 1
111.5 3 1
108.0 2
107.5 1
106.5 1 1 1
105.5 1 1
104.5 2
104.0 1 1 1 1
103.0 1
102.5 1
102.0 1 1
101.0 4 1
100.5 1
100.0 1
99.5 6 1 1
98.5 5 1
98.0 1
97.5 1
97.0 2
96.0 3 1 2 1
95.0 4 3
94.5 1
94.0 1
93.5 1 2
92.5 2 6 1
92.0 1
91.5 5 1 1
91.0 1
90.5 4 4
90.0 2 1 3 2
89.0 5 4 3 2
88.5 1 1 1
88.0 3 2 1
87.5 3 1
87.0 3 1 1
86.5 6 3 5 3
85.5 2 6 1 3
85.0 4 1
84.5 3 4
84.0 3 4 2
83.5 1 2
83.0 7 5 1 1
82.5 1 1
82.0 3 7 2 2
81.5 2 2
81.0 7 2 1
80.5 3 2 2 3
80.0 2 1 1
79.5 4 4 2 3
79.0 2 1
78.5 4 4 1
78.0 3 2 3
77.5 1 3 1
77.0 2 6 1 1
76.5 1
76.0 7 3 2
75.5 2
75.0 1 3 3
74.5 2 1 1 1
74.0 1 1 2
73.5 3 3 1
73.0 1 1
72.5 1 1 1 1
72.0 1 1 2 2
71.5 3 3 1
71.0 5 2 3 2
70.5 2 2
70.0 1 1 1
69.5 2 1
69.0 1
68.5 2 1 1 1
68.0 1 1
67.5 1 2 1 1
67.0 2 1 1
66.5 3 2 1
66.0 1 2 3
65.5 1 1 1
65.0 1 1 1
64.5 1 1
64.0 2
63.5 2 1
63.0 3 1 1
62.5 1 1
62.0 1
61.5 2 1
61.0 2
60.5 1 1 1
60.0 1 2 1 1
59.5 1
59.0 1
58.5 1 1
57.5 1 1
57.0 1
56.5 1 2 3
56.0 2
55.5 1
55.0 1
54.5 3
54.0 4 2
53.0 1
50.5 1
50.0 1
48.5 1 1
48.0 1 6 1
47.5 1
47.0 1
42.0 1
41.0 1
38.5 1 1
36.0 2 1
34.5 1
32.5 1
30.0 1 2 1
24.0 1
18.0 1
American Mathematics Competitions
2005 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
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 1 1
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 1 1
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0 1
141.5 116.5 91.5
141.0 116.0 91.0
140.5 115.5 90.5 2 2
140.0 115.0 90.0 2 1
139.5 114.5 89.5
139.0 114.0 1 89.0 2 1
138.5 113.5 88.5 1
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 87.0 1
136.5 111.5 86.5 3 2
136.0 111.0 86.0
135.5 110.5 85.5 1
135.0 110.0 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 1 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 1 1
131.5 106.5 81.5 1 1
131.0 106.0 81.0 1
130.5 105.5 1 80.5 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
128.0 103.0 78.0
127.5 102.5 77.5 1
127.0 102.0 1 77.0 1
126.5 101.5 76.5
126.0 101.0 76.0 1 1
125.5 100.5 1 75.5 1 1
American Mathematics Competitions
2005 AMC 10 A Results for Vermont
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 1 25.0
74.5 1 49.5 24.5
74.0 1 49.0 24.0
73.5 3 48.5 1 23.5
73.0 1 48.0 3 3 23.0
72.5 1 47.5 22.5
72.0 2 47.0 22.0
71.5 2 46.5 21.5
71.0 2 1 46.0 21.0
70.5 1 1 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 1 43.5 18.5
68.0 43.0 18.0 1
67.5 1 42.5 17.5
67.0 1 42.0 17.0
66.5 2 41.5 16.5
66.0 2 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 1 1 39.0 14.0
63.5 1 38.5 1 13.5
63.0 1 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 1 11.0
60.5 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 1 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 1 1 31.5 6.5
56.0 2 31.0 6.0
55.5 1 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
2005 AMC 10 A Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
124.0 1
114.0 1
105.5 1
104.0 1
102.0 1
100.5 1
98.0 1
96.0 2
93.5 1 1
92.5 1
92.0 1
90.5 2 2
90.0 2 1
89.0 2 1
88.5 1
87.5 1
87.0 1
86.5 1 1 3
85.5 1
85.0 1
84.0 2
83.0 1
82.0 2
81.5 2
81.0 1
80.5 2
80.0 1
79.5 2
79.0 1
77.5 1
77.0 1
76.0 2
75.5 1 1
75.0 1 2
74.5 1
74.0 1
73.5 1 2
73.0 1
72.5 1
72.0 1 1
71.5 2 1
71.0 1 2
70.5 1 1
70.0 1
69.5 1
68.5 1
67.5 1
67.0 1
66.5 2
66.0 1 1
65.5 1
65.0 1
64.0 1 1
63.5 1
63.0 1
62.5 1
60.5 1
60.0 1
57.5 1
56.5 1 1
56.0 1 1
55.5 1
50.0 1
48.5 1
48.0 1 5
38.5 1
36.0 1
34.5 1
18.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Vermont
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.28 0.00 0.18 8.90* 0.55 0.09 0.00
2 0.37 0.00 6.42* 0.00 1.47 1.74 0.00
3 0.00 9.36* 0.00 0.18 0.09 0.37 0.00
4 0.73 2.20* 0.92 0.46 0.73 4.95 0.00
5 5.78* 0.37 3.76 0.09 0.00 0.00 0.00
6 0.28 5.60* 2.57 0.18 0.28 1.10 0.00
7 0.73 3.39* 0.37 0.73 1.38 3.39 0.00
8 1.47 0.18 3.94* 0.46 0.09 3.85 0.00
9 1.10 5.60* 1.56 0.37 0.09 1.28 0.00
10 2.20* 0.55 0.83 0.55 0.37 5.50 0.00
11 0.55 3.21* 0.09 0.28 0.37 5.50 0.00
12 0.28 0.73* 0.83 0.46 0.83 6.88 0.00
13 1.65 0.18 0.37 0.64 1.28* 5.87 0.00
14 1.19 0.83 0.64 0.28 2.66* 4.40 0.00
15 0.83 0.73 0.92 1.10 1.47* 4.95 0.00
16 1.01 0.46 0.83 1.93* 0.28 5.50 0.00
17 0.37 0.46 0.64 2.11* 0.18 6.24 0.00
18 2.75* 1.38 0.73 2.94 0.18 2.02 0.00
19 0.55 0.73 0.64 3.49* 1.10 3.49 0.00
20 0.73* 0.18 0.92 0.73 0.46 6.97 0.00
21 1.93 0.64* 0.09 0.37 0.46 6.51 0.00
22 0.92 0.37 0.46 2.84* 0.28 5.14 0.00
23 0.00 0.46 1.56* 1.10 0.55 6.33 0.00
24 1.19 1.01* 0.46 0.28 0.18 6.88 0.00
25 0.37 1.10 1.38 1.01* 0.00 6.15 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
2005 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 1
149.5 124.5 99.5 4 2
149.0 124.0 1 99.0
148.5 123.5 98.5 4 1
148.0 123.0 1 98.0
147.5 122.5 97.5
147.0 122.0 1 97.0 1 1
146.5 121.5 96.5
146.0 121.0 96.0 1 2
145.5 120.5 1 95.5
145.0 120.0 95.0 3 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 1 1
142.0 117.0 92.0
141.5 116.5 91.5 3 2
141.0 116.0 91.0
140.5 1 115.5 90.5 1 3
140.0 115.0 90.0 1 1
139.5 114.5 89.5
139.0 114.0 89.0 3 2
138.5 113.5 1 88.5 1
138.0 113.0 88.0 2 1
137.5 112.5 1 87.5
137.0 112.0 1 87.0 3
136.5 111.5 3 86.5 4 2
136.0 111.0 86.0
135.5 110.5 85.5 2
135.0 110.0 85.0 3 1
134.5 1 109.5 84.5 2 1
134.0 109.0 84.0 2 1
133.5 108.5 83.5 1
133.0 108.0 1 1 83.0 4 3
132.5 107.5 1 82.5 1
132.0 107.0 82.0 1 2
131.5 106.5 1 81.5 1
131.0 106.0 81.0 4 3
130.5 105.5 1 80.5 2 1
130.0 105.0 80.0 1
129.5 104.5 2 79.5 2 2
129.0 104.0 1 79.0
128.5 103.5 78.5 4
128.0 103.0 78.0 2 1
127.5 1 102.5 77.5 1
127.0 102.0 1 77.0 1
126.5 101.5 76.5
126.0 101.0 3 1 76.0 3 4
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 12 A Results for Vermont
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 1 49.5 24.5
74.0 1 49.0 24.0
73.5 48.5 1 23.5
73.0 1 48.0 1 23.0
72.5 1 47.5 1 22.5
72.0 1 47.0 22.0
71.5 1 2 46.5 21.5
71.0 4 1 46.0 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 1 1 43.5 18.5
68.0 1 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 1 2 41.5 16.5
66.0 41.0 1 16.0
65.5 1 40.5 15.5
65.0 40.0 15.0
64.5 1 39.5 14.5
64.0 39.0 14.0
63.5 2 38.5 13.5
63.0 3 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 1 36.0 1 1 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 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 1 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 1 5.0
54.5 2 1 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
2005 AMC 12 A Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
140.5 1
134.5 1
127.5 1
124.0 1
123.0 1
122.0 1
120.5 1
113.5 1
112.5 1
112.0 1
111.5 3
108.0 1 1
107.5 1
106.5 1
105.5 1
104.5 1 1
104.0 1
102.0 1
101.0 1 2 1
100.0 1
99.5 1 4 1
98.5 1 1 3
97.0 1 1
96.0 2 1
95.0 3 1
93.5 1
92.5 1 1
91.5 1 2 2
90.5 1 2 1
90.0 2
89.0 2 3
88.5 1
88.0 2 1
87.0 2 1
86.5 1 3 2
85.5 1 1
85.0 1 3
84.5 1 2
84.0 1 2
83.5 1
83.0 1 5 1
82.5 1
82.0 1 1 1
81.5 1 1
81.0 1 1 3 2
80.5 1 2
80.0 1 1
79.5 3 1
78.5 1 1 2
78.0 1 2
77.5 1
77.0 2
76.0 1 2 3 1
75.0 1
74.5 2
74.0 1
73.0 1
72.5 1
72.0 1
71.5 3
71.0 1 4
68.5 1 1
68.0 1
67.5 1
66.5 2 1
65.5 1
64.5 1
63.5 2
63.0 2 1
61.0 1 1
60.5 1
60.0 1
59.5 1
58.5 1
54.5 2 1
48.5 1
48.0 1
47.5 1
41.0 1
36.0 1 1
32.5 1
30.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Vermont
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.11 0.00 0.16 9.62* 0.05 0.05 0.00
2 0.00 9.78* 0.00 0.16 0.00 0.05 0.00
3 0.27 4.62* 0.92 0.27 0.38 3.53 0.00
4 7.77* 0.16 1.90 0.11 0.05 0.00 0.00
5 0.00 7.83* 1.20 0.22 0.05 0.71 0.00
6 0.38 6.58* 0.33 0.05 0.33 2.34 0.00
7 0.54 0.16 7.50* 0.00 0.00 1.79 0.00
8 0.16 0.38 0.33 3.21* 0.16 5.76 0.00
9 5.49* 0.38 0.71 0.33 0.22 2.88 0.00
10 0.05 3.70* 0.22 0.43 0.11 5.49 0.00
11 0.98 0.16 0.38 0.38 3.86* 4.24 0.00
12 1.25 0.49 0.11 3.37* 1.09 3.70 0.00
13 0.16 0.16 0.54 3.04* 0.49 5.54 0.05
14 0.11 0.27 3.80 1.58* 0.05 4.18 0.00
15 0.16 0.38 0.98* 1.09 0.71 6.68 0.00
16 0.22 0.38 0.71 0.82* 0.38 7.50 0.00
17 1.90* 0.54 1.25 0.27 0.43 5.60 0.00
18 0.43* 0.33 0.27 0.16 0.05 8.75 0.00
19 0.76 3.26* 0.60 0.38 0.65 4.35 0.00
20 0.33 0.16 0.16 0.00 0.54* 8.80 0.00
21 0.38 0.38 0.27* 0.11 0.05 8.80 0.00
22 0.27 0.49* 0.38 0.11 0.05 8.70 0.00
23 0.22 0.54* 0.27 0.38 0.65 7.93 0.00
24 0.11 0.16* 0.16 0.27 0.00 9.29 0.00
25 0.27 0.22 0.05* 0.05 0.11 9.29 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
2005 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 1
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1
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 1
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 2
138.5 113.5 88.5
138.0 113.0 88.0 1
137.5 112.5 1 87.5
137.0 112.0 87.0 1
136.5 111.5 86.5 1 2
136.0 111.0 86.0
135.5 110.5 85.5 3
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 1
132.0 107.0 82.0 1 1
131.5 106.5 1 81.5
131.0 106.0 81.0
130.5 105.5 80.5 2
130.0 105.0 80.0 1
129.5 104.5 79.5 2
129.0 104.0 1 79.0
128.5 103.5 78.5 1
128.0 103.0 78.0 2 1
127.5 102.5 1 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
2005 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 1 49.5 24.5
74.0 2 49.0 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 1 1 47.0 1 22.0
71.5 1 46.5 21.5
71.0 1 1 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 43.5 18.5
68.0 43.0 18.0
67.5 1 42.5 17.5
67.0 1 42.0 1 17.0
66.5 1 41.5 16.5
66.0 2 1 41.0 16.0
65.5 1 40.5 15.5
65.0 1 40.0 15.0
64.5 1 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 1 37.5 12.5
62.0 1 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 1 32.5 7.5
57.0 1 32.0 7.0
56.5 2 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 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 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
112.5 1
106.5 1
104.0 1
102.5 1
99.5 1
97.5 1
96.0 1
94.0 1
91.5 1
90.0 1 1
89.0 2
88.0 1
87.0 1
86.5 1 2
85.5 1 2
83.0 1
82.5 1
82.0 1 1
80.5 2 1
80.0 1
79.5 2 1
78.5 1
78.0 2 1
77.0 1
74.5 1
74.0 1 1
73.5 1
72.5 1
72.0 2
71.5 1
71.0 1 1
70.0 1
68.5 1
67.5 1
67.0 1
66.5 1
66.0 2 1
65.5 1
65.0 1
64.5 1
62.5 1
62.0 1
61.5 1
60.0 1
57.5 1
57.0 1
56.5 3
55.0 1
54.0 1 1
50.5 1
48.0 1
47.0 1
42.0 1
30.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Vermont
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 8.53* 0.27 0.53 0.40 0.27 0.00 0.00
2 0.13 0.67 0.27 8.53* 0.00 0.40 0.00
3 0.00 1.07 0.53 7.33* 1.07 0.00 0.00
4 1.07 0.27 0.67 2.13* 0.27 5.60 0.00
5 0.13 0.00 8.40* 0.00 1.07 0.40 0.00
6 0.13 8.67* 0.67 0.27 0.13 0.13 0.00
7 0.80 0.27* 0.40 1.07 0.93 6.53 0.00
8 4.40* 0.00 1.47 0.27 0.13 3.73 0.00
9 0.67 0.53 2.27 4.53* 1.33 0.67 0.00
10 1.20* 0.80 0.53 0.13 0.13 7.20 0.00
11 0.67 0.40 0.40 1.20 1.73* 5.60 0.00
12 0.67 1.07 0.40 0.27 0.40* 7.20 0.00
13 1.07 0.53 1.60* 1.47 0.27 5.07 0.00
14 0.27 0.13 0.93* 1.87 0.93 5.87 0.00
15 1.73 0.53 0.40 4.13* 0.40 2.80 0.00
16 0.67 0.40 0.93 0.53* 0.00 7.47 0.00
17 0.53 1.73* 1.07 0.13 0.13 6.40 0.00
18 0.13 5.47 0.40 0.67* 0.67 2.67 0.00
19 0.00 5.47* 0.13 0.80 0.27 3.33 0.00
20 0.80 0.40 0.53* 0.27 0.13 7.87 0.00
21 0.27* 0.27 0.13 0.67 0.13 8.53 0.00
22 0.53 0.53 0.27* 0.27 0.27 8.13 0.00
23 2.67 0.13 0.67* 0.27 0.00 6.27 0.00
24 0.13 0.27 0.27 0.53 0.80* 8.00 0.00
25 0.13 0.27 2.40* 0.53 0.53 6.13 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
2005 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 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 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0 1 2
144.5 119.5 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 4 2
142.0 117.0 92.0
141.5 116.5 91.5 1
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 114.5 89.5
139.0 114.0 89.0 3 1
138.5 113.5 88.5 1
138.0 113.0 88.0 1 1
137.5 112.5 87.5 2
137.0 112.0 87.0
136.5 111.5 1 86.5 1 2
136.0 111.0 86.0
135.5 110.5 85.5 3 3
135.0 110.0 85.0
134.5 109.5 84.5 3 1
134.0 109.0 84.0 2 2
133.5 108.5 83.5 2
133.0 108.0 83.0 1 4
132.5 107.5 82.5
132.0 107.0 82.0 3 4
131.5 106.5 1 81.5
131.0 106.0 81.0 2
130.5 105.5 80.5 2
130.0 105.0 80.0
129.5 104.5 79.5 4
129.0 104.0 1 79.0 2
128.5 103.5 78.5 3 1
128.0 103.0 1 78.0 2
127.5 102.5 77.5 3
127.0 102.0 77.0 3 3
126.5 101.5 76.5 1
126.0 101.0 1 76.0 1 2
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 12 B Results for Vermont
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 25.0
74.5 1 49.5 24.5
74.0 49.0 24.0 1
73.5 1 2 48.5 23.5
73.0 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 1 1 46.0 21.0
70.5 1 1 45.5 20.5
70.0 1 45.0 20.0
69.5 1 1 44.5 19.5
69.0 1 44.0 19.0
68.5 1 43.5 18.5
68.0 1 43.0 18.0
67.5 2 42.5 17.5
67.0 1 1 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 1 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 38.5 1 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 2 36.5 11.5
61.0 36.0 11.0
60.5 1 35.5 10.5
60.0 1 1 35.0 10.0
59.5 34.5 9.5
59.0 1 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 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 30.0 1 1 5.0
54.5 29.5 4.5
54.0 1 3 29.0 4.0
53.5 28.5 3.5
53.0 1 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
2005 AMC 12 B Results for Vermont
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
111.5 1
106.5 1
104.0 1
103.0 1
101.0 1
99.5 1
98.5 1
96.0 1
95.0 2 1
94.5 1
92.5 3 3
91.5 1
91.0 1
90.0 1
89.0 2 2
88.5 1
88.0 2
87.5 3
86.5 3
85.5 4 2
84.5 2 2
84.0 3 1
83.5 1 1
83.0 2 3
82.0 6 1
81.0 2
80.5 1 1
79.5 4
79.0 1 1
78.5 1 3
78.0 2
77.5 3
77.0 6
76.5 1
76.0 3
75.0 1 1 1
74.5 1
73.5 3
72.5 1
72.0 1
71.0 1 1
70.5 1 1
70.0 1
69.5 2
69.0 1
68.5 1
68.0 1
67.5 1 1
67.0 1 1
66.0 1
65.0 1
63.0 1
61.5 1 1
60.5 1
60.0 1 1
59.0 1
58.5 1
56.5 1
54.0 1 2 1
53.0 1
38.5 1
30.0 2
24.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Vermont
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.10* 0.22 0.30 0.30 0.07 0.00 0.00
2 0.00 0.22 0.30 8.58* 0.30 0.60 0.00
3 0.00 0.15 8.58* 0.37 0.45 0.45 0.00
4 0.22 8.96* 0.15 0.52 0.00 0.15 0.00
5 6.79* 0.07 1.19 0.15 0.15 1.64 0.00
6 2.01* 0.67 0.45 0.22 0.52 6.12 0.00
7 1.57 1.12 0.22 1.42* 0.22 5.45 0.00
8 1.42 2.09 2.69* 0.00 0.75 3.06 0.00
9 0.37 7.39* 0.37 0.37 0.22 1.27 0.00
10 0.52 0.15 0.00 2.91 2.09* 4.33 0.00
11 1.19 0.82 0.67 4.93* 0.67 1.72 0.00
12 0.52 0.52 0.60 0.37* 0.07 7.91 0.00
13 0.52 0.22 0.15 0.67* 0.37 8.06 0.00
14 0.75 1.19 0.37 0.37 0.37* 6.94 0.00
15 0.45 0.15 0.15 5.07* 0.60 3.58 0.00
16 0.37 0.22 0.90 0.30* 0.07 8.13 0.00
17 0.30 0.45* 0.45 0.15 0.45 8.21 0.00
18 1.42 0.67 0.45* 0.22 0.00 7.24 0.00
19 0.22 0.22 0.30 0.22 1.94* 7.09 0.00
20 0.00 0.22 3.13* 0.82 2.24 3.58 0.00
21 0.07 0.30 0.37* 0.07 0.15 9.03 0.00
22 0.52 0.60 0.22 0.15 0.00* 8.51 0.00
23 0.15 0.15* 0.22 0.07 0.15 9.25 0.00
24 0.15* 0.07 0.52 0.37 0.22 8.66 0.00
25 0.30* 0.22 0.07 0.30 0.45 8.66 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column