American Mathematics Competitions
2005 AMC 10 A Results for West Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 103
Number of unofficial participants: 0
Average score of participants: 74.7
Average score for female students is: 66.6 ( 41 Students)
Average score for male students is: 80.2 ( 61 Students)
Average score for unspecified gender is 76.0 ( 1 Student)
Average score for grade 10 is: 78.1 ( 63 Students)
Average score for grade 9 is: 69.5 ( 40 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 7
Average school winning score 105.57
American Mathematics Competitions
2005 AMC 12 A Results for West Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 127
Number of unofficial participants: 0
Average score of participants: 73.7
Average score for female students is: 72.2 ( 50 Students)
Average score for male students is: 74.1 ( 73 Students)
Average score for unspecified gender is 85.9 ( 4 Students)
Average score for grade 12 is: 77.5 ( 51 Students)
Average score for grade 11 is: 71.0 ( 75 Students)
Average score with unknown grade: 83.0 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 8
Number of schools returning results 7
Average school winning score 104.21
Average school team score 282.50
American Mathematics Competitions
2005 AMC 10 B Results for West Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 97
Number of unofficial participants: 0
Average score of participants: 69.0
Average score for female students is: 67.9 ( 48 Students)
Average score for male students is: 70.4 ( 45 Students)
Average score for unspecified gender is 67.4 ( 4 Students)
Average score for grade 10 is: 71.7 ( 38 Students)
Average score for grade 9 is: 67.3 ( 59 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 6
Average school winning score 95.92
American Mathematics Competitions
2005 AMC 12 B Results for West Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 249
Number of unofficial participants: 0
Average score of participants: 78.2
Average score for female students is: 73.9 ( 115 Students)
Average score for male students is: 82.4 ( 128 Students)
Average score for unspecified gender is 72.4 ( 6 Students)
Average score for grade 12 is: 77.1 ( 94 Students)
Average score for grade 11 is: 78.4 ( 108 Students)
Average score for grade 10 is: 80.1 ( 42 Students)
Average score for grade 9 is: 97.7 ( 3 Students)
Average score with unknown grade: 50.0 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 14
Number of schools returning results 8
Average school winning score 104.00
Average school team score 300.81
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
359.5 1 1
328.0 1 2
315.0 1 3
313.0 1 4
311.0 1 5
308.0 1 6
302.5 1 7
299.0 1 8
285.0 1 9
276.5 1 10
274.5 1 11
267.5 1 12
267.0 1 1 13
210.5 1 15
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
137.0 1
134.5 1
126.5 1 1
125.5 1
125.0 1
123.0 1
120.5 1
119.5 1
114.0 1
111.5 1
111.0 1
110.0 2
109.5 1
108.5 1 1
107.5 1 1
105.5 1
105.0 1 1
104.5 3
104.0 2
103.0 1
102.5 1 1
102.0 2 1
101.0 4
100.5 1
99.5 1
98.5 2 3 1
98.0 1
97.5 1
97.0 1
96.0 4
95.0 4 7 1
94.5 3
94.0 2
93.5 1
92.5 4 1 1
92.0 1
91.5 2 4 1
91.0 1 1
90.5 2 1 1
90.0 1 2 1 2
89.0 3 6 1
88.5 2
88.0 2 4 1 1
87.5 1 1 2
87.0 1 4 1
86.5 4 1
86.0 1
85.5 2 8 2
85.0 5 1 3
84.5 1 2 1
84.0 1 3 2
83.5 2 1 1
83.0 5 7 2 2
82.5 1 1
82.0 2 3 1
81.5 3 1 1
81.0 2 6 2 1
80.5 4 1
80.0 3 1 1
79.5 2 4 2
79.0 1 2
78.5 1 3 2 1
78.0 2 8 2
77.5 2
77.0 1 7 3 2
76.5 3 5 1
76.0 1 6 2 2
75.5 4 1
75.0 2 8 1
74.5 2 8 2
74.0 4 1 1 1
73.5 1 4 1 1
73.0 2
72.5 3 4 2 1
72.0 1 3 2 2
71.5 2 1 2
71.0 1 6 1 1
70.5 2 1 1
70.0 3 2 3 2
69.5 3
69.0 4 5 1
68.5 2 3 2
68.0 1 3 3 1
67.5 2 1 3
67.0 2 2 1 1
66.5 1 6 2
66.0 2 2 1
65.5 2
65.0 2 4
64.5 1 1 1 1
64.0 1 1
63.5 1 1 1 2
63.0 1 2
62.5 2 1 2
62.0 2 2 2
61.5 1 1 1 1
61.0 3 1 1
60.5 2 3 2
60.0 1 2
59.5 1 1 1
59.0 2 2 1
58.5 1 1
58.0 1 1 1 1
57.5 1 1
57.0 1 1
56.5 2 2 1
56.0 1 1 1
55.5 1 2 1
55.0 1 2 1
54.5 1
54.0 3 4 1
53.5 1
53.0 2 1
52.5 1
52.0 1
51.5 1
51.0 1 1 1
50.5 1
50.0 1 1
49.5 2 1
49.0 1
48.5 1 1
48.0 2 1 3 3
47.5 1
47.0 1
46.0 2
45.0 1
44.5 1 1 1
43.0 1
42.0 2 2
40.5 2
39.5 1
36.5 1
36.0 1 1
34.0 1
32.0 1
31.5 1
30.0 1 1 2
29.0 1
American Mathematics Competitions
2005 AMC 10 A Results for West Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
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 1
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
145.5 120.5 1 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
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 1
140.0 115.0 90.0 1
139.5 114.5 89.5
139.0 114.0 1 89.0
138.5 113.5 88.5
138.0 113.0 88.0 1
137.5 112.5 87.5 2
137.0 1 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5 2
135.0 110.0 85.0 1
134.5 1 109.5 1 84.5 1
134.0 109.0 84.0
133.5 108.5 1 83.5 1
133.0 108.0 83.0 2
132.5 107.5 1 82.5
132.0 107.0 82.0 1
131.5 106.5 81.5 1
131.0 106.0 81.0 2
130.5 105.5 1 80.5 1
130.0 105.0 1 80.0 1
129.5 104.5 79.5
129.0 104.0 2 79.0
128.5 103.5 78.5 2
128.0 103.0 78.0
127.5 102.5 1 77.5
127.0 102.0 77.0 1 2
126.5 1 101.5 76.5
126.0 101.0 76.0 1
125.5 100.5 75.5 1
American Mathematics Competitions
2005 AMC 10 A Results for West Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 2 49.5 24.5
74.0 1 49.0 24.0
73.5 1 48.5 23.5
73.0 48.0 2 1 23.0
72.5 1 1 47.5 22.5
72.0 1 1 47.0 22.0
71.5 1 46.5 21.5
71.0 1 46.0 21.0
70.5 1 45.5 20.5
70.0 3 45.0 20.0
69.5 44.5 1 19.5
69.0 1 44.0 19.0
68.5 1 1 43.5 18.5
68.0 2 1 43.0 18.0
67.5 1 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 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 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 11.5
61.0 1 36.0 1 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 31.5 1 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 1 30.0 2 5.0
54.5 29.5 4.5
54.0 2 2 29.0 1 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for West Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
137.0 1
134.5 1
126.5 1
125.0 1
120.5 1
114.0 1
109.5 1
108.5 1
107.5 1
105.5 1
105.0 1
104.0 2
102.5 1
99.5 1
98.0 1
97.5 1
93.5 1
92.5 1
92.0 1
90.5 1
90.0 1
88.0 1
87.5 1 1
85.5 1 1
85.0 1
84.5 1
83.5 1
83.0 2
82.0 1
81.5 1
81.0 1 1
80.5 1
80.0 1
78.5 1 1
77.0 1 2
76.0 1 1
75.5 1
75.0 1
74.5 1 1
74.0 1
73.5 1
72.5 2
72.0 2
71.5 1
71.0 1
70.5 1
70.0 1 2
69.0 1
68.5 2
68.0 2 1
67.5 1
67.0 1
64.5 1
64.0 1
63.5 1
62.5 1
62.0 2
61.5 1
61.0 1
59.5 1
59.0 2
58.0 1
56.0 1
55.0 2
54.0 2 2
53.5 1
52.5 1
52.0 1
51.0 1
48.0 2 1
44.5 1
42.0 1 1
36.0 1
31.5 1
30.0 2
29.0 1
American Mathematics Competitions
2005 AMC 10 A Results for West Virginia
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 0.10 0.19 0.39 8.74* 0.49 0.10 0.00
2 0.19 0.29 5.92* 0.10 1.17 2.33 0.00
3 0.00 9.03* 0.10 0.49 0.00 0.39 0.00
4 0.49 1.36* 1.94 0.78 0.58 4.85 0.00
5 6.70* 0.29 2.72 0.29 0.00 0.00 0.00
6 0.10 5.83* 2.82 0.00 0.00 1.26 0.00
7 0.87 3.88* 0.39 0.49 0.68 3.69 0.00
8 1.07 0.49 4.08* 0.29 0.10 3.98 0.00
9 0.87 5.83* 1.36 0.29 0.39 1.26 0.00
10 2.23* 0.78 0.78 0.29 0.19 5.73 0.00
11 0.58 2.33* 0.10 0.87 0.10 6.02 0.00
12 0.00 1.36* 0.78 0.29 0.87 6.70 0.00
13 0.87 0.87 0.78 0.39 0.87* 6.21 0.00
14 0.87 0.39 0.39 0.39 2.52* 5.44 0.00
15 0.58 0.97 0.87 1.84 1.75* 3.98 0.00
16 0.68 0.78 0.68 2.72* 0.29 4.85 0.00
17 0.19 0.39 1.07 2.33* 0.39 5.63 0.00
18 1.26* 1.94 1.75 1.75 0.19 3.11 0.00
19 0.49 0.19 1.07 3.01* 0.78 4.47 0.00
20 0.78* 0.49 0.29 0.29 0.58 7.57 0.00
21 1.46 0.97* 0.29 0.39 0.58 6.31 0.00
22 1.94 0.68 0.10 2.43* 0.49 4.37 0.00
23 0.29 0.78 1.17* 0.78 0.29 6.70 0.00
24 0.97 1.07* 0.68 0.10 0.19 6.99 0.00
25 0.10 0.49 1.17 0.87* 0.10 7.28 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 West Virginia
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 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
145.5 120.5 95.5
145.0 120.0 95.0 3 1
144.5 119.5 1 94.5
144.0 119.0 94.0 1 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
141.5 116.5 91.5 2
141.0 116.0 91.0 1
140.5 115.5 90.5 1 1
140.0 115.0 90.0 1
139.5 114.5 89.5
139.0 114.0 89.0 2 1
138.5 113.5 88.5
138.0 113.0 88.0 2
137.5 112.5 87.5 1
137.0 112.0 87.0 1
136.5 111.5 1 86.5
136.0 111.0 1 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 1
133.5 108.5 83.5
133.0 108.0 83.0 3 1
132.5 107.5 1 82.5 1
132.0 107.0 82.0 2
131.5 106.5 81.5
131.0 106.0 81.0 2
130.5 105.5 80.5
130.0 105.0 1 80.0
129.5 104.5 79.5 1 1
129.0 104.0 79.0 1
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 1 1 77.0 1
126.5 101.5 76.5 2
126.0 101.0 76.0 1
125.5 1 100.5 75.5
American Mathematics Competitions
2005 AMC 12 A Results for West Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 1 25.0
74.5 2 49.5 24.5
74.0 4 49.0 24.0
73.5 1 48.5 1 23.5
73.0 48.0 2 23.0
72.5 2 1 47.5 22.5
72.0 1 47.0 22.0
71.5 46.5 21.5
71.0 1 46.0 21.0
70.5 2 45.5 20.5
70.0 2 1 45.0 20.0
69.5 1 2 44.5 1 19.5
69.0 2 2 44.0 19.0
68.5 1 1 43.5 18.5
68.0 1 43.0 18.0
67.5 1 1 42.5 17.5
67.0 2 42.0 2 17.0
66.5 1 41.5 16.5
66.0 1 1 41.0 16.0
65.5 2 40.5 15.5
65.0 40.0 15.0
64.5 1 39.5 1 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 1 1 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 11.0
60.5 2 35.5 10.5
60.0 1 35.0 10.0
59.5 34.5 9.5
59.0 2 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 1 7.0
56.5 1 1 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 1 30.0 1 5.0
54.5 1 29.5 4.5
54.0 1 2 29.0 4.0
53.5 28.5 3.5
53.0 2 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 1 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 West Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
125.5 1
119.5 1
111.5 1
111.0 1
107.5 1
105.0 1
102.0 2
98.5 2
95.0 2 2
94.0 2
91.5 2
91.0 1
90.5 2
90.0 1
89.0 1 2
88.0 2
87.5 1
87.0 1
85.5 2
84.5 1
84.0 1
83.0 2 2 1
82.5 1
82.0 1 1
81.0 2
79.5 1 1
79.0 1
78.5 1
78.0 2
77.0 1
76.5 3
76.0 1
75.0 1 1
74.5 1 1
74.0 3 1
73.5 1
72.5 3
72.0 1
71.0 1
70.5 1 1
70.0 1 2
69.5 3
69.0 3 1
68.5 2
68.0 1
67.5 1 1
67.0 1 1
66.5 1
66.0 2
65.5 1 1
64.5 1
63.5 1
62.0 2
61.5 1
60.5 2
60.0 1
59.0 1 1
58.5 1
58.0 1
57.5 1
57.0 1
56.5 2
55.5 1
55.0 1
54.5 1
54.0 2 1
53.0 2
51.5 1
50.0 1
48.5 1
48.0 2
44.5 1
42.0 2
39.5 1
32.0 1
30.0 1
American Mathematics Competitions
2005 AMC 12 A Results for West Virginia
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 0.00 0.08 0.00 9.53* 0.08 0.31 0.00
2 0.00 9.21* 0.16 0.47 0.00 0.16 0.00
3 0.47 3.23* 1.34 0.39 0.79 3.78 0.00
4 6.93* 0.47 2.28 0.16 0.08 0.08 0.00
5 0.16 5.59* 2.52 0.31 0.08 1.34 0.00
6 0.39 3.86* 0.47 0.31 0.94 4.02 0.00
7 1.26 0.47 5.59* 0.16 0.00 2.44 0.08
8 0.47 0.79 0.47 1.97* 0.08 6.22 0.00
9 2.44* 0.31 0.87 0.63 0.71 5.04 0.00
10 0.47 2.36* 0.47 0.55 0.16 5.98 0.00
11 1.26 0.55 0.39 0.39 2.83* 4.57 0.00
12 0.79 0.39 0.16 3.39* 1.89 3.39 0.00
13 0.08 0.24 0.47 2.83* 0.16 6.22 0.00
14 0.00 0.87 2.83 1.34* 0.31 4.65 0.00
15 0.47 0.55 1.42* 0.87 0.79 5.91 0.00
16 0.08 0.63 0.87 0.63* 0.31 7.48 0.00
17 1.34* 1.65 1.10 0.16 0.55 5.20 0.00
18 0.63* 0.31 0.16 0.55 0.16 8.19 0.00
19 0.63 1.81* 1.18 0.94 0.63 4.80 0.00
20 0.31 0.24 0.31 0.08 0.24* 8.82 0.00
21 0.16 0.79 0.39* 0.24 0.16 8.27 0.00
22 0.47 0.24* 0.16 0.47 0.24 8.43 0.00
23 0.63 0.39* 0.24 0.55 0.47 7.72 0.00
24 0.24 0.16* 0.31 0.16 0.00 9.13 0.00
25 0.31 0.63 0.00* 0.24 0.08 8.74 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 West Virginia
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 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
145.5 120.5 95.5
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
143.0 118.0 93.0
142.5 117.5 92.5 1
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 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 1
136.5 111.5 86.5 1
136.0 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0 1 2
134.5 109.5 84.5
134.0 109.0 84.0 1 1
133.5 108.5 1 83.5 1
133.0 108.0 83.0 2
132.5 107.5 82.5 1
132.0 107.0 82.0
131.5 106.5 81.5 1
131.0 106.0 81.0 1
130.5 105.5 80.5
130.0 105.0 80.0
129.5 104.5 79.5 2
129.0 104.0 79.0 1 1
128.5 103.5 78.5 1
128.0 103.0 78.0 2
127.5 102.5 1 77.5
127.0 102.0 77.0 1 1
126.5 101.5 76.5 1
126.0 101.0 76.0 2
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 10 B Results for West Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 1 25.0
74.5 49.5 1 24.5
74.0 1 49.0 24.0
73.5 1 48.5 23.5
73.0 48.0 1 2 23.0
72.5 1 47.5 22.5
72.0 2 47.0 1 22.0
71.5 1 1 46.5 21.5
71.0 1 46.0 1 1 21.0
70.5 45.5 20.5
70.0 1 1 45.0 1 20.0
69.5 44.5 1 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 1 43.0 18.0
67.5 1 2 42.5 17.5
67.0 1 42.0 17.0
66.5 2 41.5 16.5
66.0 1 41.0 16.0
65.5 40.5 1 1 15.5
65.0 2 1 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 2 38.5 13.5
63.0 1 1 38.0 13.0
62.5 1 1 37.5 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 1 36.0 11.0
60.5 2 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 1 9.0
58.5 1 33.5 8.5
58.0 1 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 1 31.0 6.0
55.5 1 30.5 5.5
55.0 1 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 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for West Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
108.5 1
102.5 1
98.5 1
95.0 1
92.5 1
91.5 1
90.0 1 1
89.0 1
88.0 1
87.0 1
86.5 1
85.0 2 1
84.0 1 1
83.5 1
83.0 1 1
82.5 1
81.5 1
81.0 1
80.0 1
79.5 2
79.0 2
78.5 1
78.0 2
77.0 2
76.5 1
76.0 2
74.0 1
73.5 1
72.5 1
72.0 1 1
71.5 1 1
71.0 1
70.0 1 1
68.0 1
67.5 3
67.0 1
66.5 1 1
66.0 1
65.0 1 3
64.5 1
64.0 1
63.5 2
63.0 2
62.5 2
61.5 1
61.0 1
60.5 2
60.0 2
59.5 1
59.0 1
58.5 1
58.0 1
57.0 1
56.5 1
56.0 1
55.5 1
55.0 1
54.0 1
53.0 1
51.0 1
50.0 1
49.5 1
48.0 2 1
47.0 1
46.0 2
45.0 1
44.5 1
40.5 2
34.0 1
American Mathematics Competitions
2005 AMC 10 B Results for West Virginia
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 7.84* 0.72 0.31 0.31 0.82 0.00 0.00
2 0.41 0.21 0.31 7.32* 0.31 1.44 0.00
3 0.00 0.72 4.12 3.61* 0.62 0.93 0.00
4 1.13 0.00 0.31 3.30* 0.52 4.74 0.00
5 0.00 0.21 7.94* 0.41 0.52 0.93 0.00
6 0.21 7.11* 0.41 0.82 0.10 1.34 0.00
7 0.41 0.21* 0.00 0.62 1.24 7.53 0.00
8 3.51* 0.00 1.03 0.41 0.31 4.74 0.00
9 0.82 0.31 3.20 3.30* 0.82 1.55 0.00
10 0.62* 0.52 0.41 0.21 0.72 7.53 0.00
11 0.10 1.03 0.10 1.44 1.13* 6.19 0.00
12 1.34 1.96 0.52 0.00 0.10* 6.08 0.00
13 0.62 0.62 0.52* 1.34 0.21 6.70 0.00
14 0.52 0.41 0.41* 2.58 0.72 5.36 0.00
15 1.13 0.52 0.72 4.64* 0.31 2.68 0.00
16 0.62 0.21 0.52 0.10* 0.21 8.35 0.00
17 0.72 1.13* 1.34 0.21 0.41 6.19 0.00
18 0.31 5.77 0.82 1.24* 0.62 1.24 0.00
19 1.13 5.46* 0.93 0.41 0.31 1.75 0.00
20 1.03 0.10 1.55* 0.21 0.31 6.80 0.00
21 0.31* 0.21 0.31 0.21 0.10 8.87 0.00
22 0.72 0.52 0.72* 0.21 0.41 7.42 0.00
23 3.09 0.21 0.00* 0.21 0.21 6.29 0.00
24 0.41 0.52 0.31 0.62 0.52* 7.63 0.00
25 0.31 0.21 3.40* 0.21 0.41 5.46 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 West Virginia
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 2 1
148.0 123.0 1 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 4
145.5 120.5 95.5
145.0 120.0 95.0 6 1
144.5 119.5 94.5 3
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
142.0 117.0 92.0
141.5 116.5 91.5 3 1
141.0 116.0 91.0 1
140.5 115.5 90.5 1
140.0 115.0 90.0 1 1
139.5 114.5 89.5
139.0 114.0 89.0 2 4
138.5 113.5 88.5 2
138.0 113.0 88.0 4
137.5 112.5 87.5 1
137.0 112.0 87.0 2 2
136.5 111.5 86.5 4
136.0 111.0 86.0 1
135.5 110.5 85.5 5 2
135.0 110.0 1 1 85.0 4 1
134.5 109.5 84.5 2
134.0 109.0 84.0 2 1
133.5 108.5 83.5 2
133.0 108.0 83.0 5 2
132.5 107.5 82.5
132.0 107.0 82.0 3
131.5 106.5 81.5 2 1
131.0 106.0 81.0 4 2
130.5 105.5 80.5 3 1
130.0 105.0 80.0 1 1
129.5 104.5 2 1 79.5 2 2
129.0 104.0 79.0
128.5 103.5 78.5 1 2
128.0 103.0 78.0 3 5
127.5 102.5 77.5 2
127.0 102.0 1 77.0 3 4
126.5 1 101.5 76.5 4 1
126.0 101.0 2 2 76.0 2 4
125.5 100.5 1 75.5 4
American Mathematics Competitions
2005 AMC 12 B Results for West Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 3 50.0 25.0
74.5 5 3 49.5 2 24.5
74.0 1 49.0 24.0
73.5 1 3 48.5 1 23.5
73.0 1 1 48.0 1 23.0
72.5 3 1 47.5 1 22.5
72.0 2 1 47.0 22.0
71.5 1 1 46.5 21.5
71.0 3 3 46.0 21.0
70.5 1 45.5 20.5
70.0 1 1 45.0 20.0
69.5 44.5 19.5
69.0 1 4 44.0 19.0
68.5 1 2 43.5 18.5
68.0 3 43.0 1 18.0
67.5 42.5 17.5
67.0 1 1 42.0 17.0
66.5 3 3 41.5 16.5
66.0 1 41.0 16.0
65.5 40.5 15.5
65.0 1 1 40.0 15.0
64.5 1 39.5 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 1 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 1 11.5
61.0 1 2 36.0 1 11.0
60.5 2 1 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 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 2 31.5 6.5
56.0 1 31.0 6.0
55.5 2 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 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for West Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
126.5 1
123.0 1
110.0 1 1
104.5 3
103.0 1
102.0 1
101.0 1 3
100.5 1
98.5 1 1 1
97.0 1
96.0 2 2
95.0 2 3 2
94.5 2 1
92.5 3 1
91.5 1 1 2
91.0 1
90.5 1
90.0 1 1
89.0 1 5
88.5 1 1
88.0 1 2 1
87.5 1
87.0 3 1
86.5 1 3
86.0 1
85.5 1 4 3
85.0 1 3 1
84.5 1 1
84.0 2 1
83.5 2
83.0 3 4
82.0 1 1 1
81.5 3
81.0 1 5
80.5 1 1 2
80.0 3
79.5 2 1 1
78.5 3
78.0 1 4 3
77.5 2
77.0 3 2 2
76.5 2 2 1
76.0 2 2 2
75.5 3 1
75.0 1 4 3
74.5 1 3 4
74.0 1
73.5 1 3
73.0 1 1
72.5 3 1
72.0 1 2
71.5 1 1
71.0 2 1 3
70.5 1
70.0 1 1
69.0 2 3
68.5 1 2
68.0 2 1
67.0 1 1
66.5 1 5
66.0 2
65.0 1 1
64.5 1
63.5 1
63.0 1
62.5 2
62.0 2
61.5 1
61.0 2 1
60.5 1 1 1
59.5 1
58.0 1
57.5 1
56.5 2
56.0 1
55.5 1 1
51.0 1
50.5 1
49.5 1 1
49.0 1
48.5 1
48.0 1
47.5 1
43.0 1
36.5 1
36.0 1
30.0 1
American Mathematics Competitions
2005 AMC 12 B Results for West Virginia
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 9.00* 0.36 0.24 0.12 0.28 0.00 0.00
2 0.16 0.36 0.20 8.27* 0.20 0.80 0.00
3 0.12 0.00 8.43* 0.32 0.36 0.76 0.00
4 0.12 8.76* 0.28 0.08 0.16 0.60 0.00
5 5.74* 0.24 1.04 0.04 0.04 2.89 0.00
6 1.49* 0.56 0.56 0.20 0.40 6.79 0.00
7 0.92 1.08 0.00 1.69* 0.20 6.10 0.00
8 1.29 1.41 3.41* 0.00 1.08 2.81 0.00
9 0.60 7.27* 0.16 0.32 0.36 1.24 0.04
10 0.32 0.52 0.16 2.85 1.61* 4.54 0.00
11 1.08 0.92 0.72 4.82* 0.32 2.13 0.00
12 0.32 0.40 0.48 0.56* 0.08 8.15 0.00
13 0.36 0.16 0.16 0.52* 0.20 8.59 0.00
14 0.80 0.64 0.32 0.24 0.60* 7.39 0.00
15 0.92 0.20 0.40 4.46* 0.52 3.49 0.00
16 0.24 0.12 0.48 0.20* 0.20 8.76 0.00
17 0.12 0.52* 0.48 0.04 0.60 8.23 0.00
18 1.20 0.56 0.28* 0.44 0.24 7.27 0.00
19 0.24 0.32 0.20 0.20 1.53* 7.47 0.04
20 0.12 0.44 4.14* 0.44 2.21 2.65 0.00
21 0.16 0.20 0.52* 0.28 0.08 8.76 0.00
22 0.48 1.04 0.16 0.36 0.12* 7.83 0.00
23 0.08 0.12* 0.12 0.04 0.08 9.56 0.00
24 0.16* 0.32 0.24 0.20 0.24 8.84 0.00
25 0.44* 0.44 0.12 0.48 0.44 8.07 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column