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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 875
Number of unofficial participants: 48
Average score of participants: 65.5
Average score for female students is: 62.3 ( 439 Students)
Average score for male students is: 69.4 ( 386 Students)
Average score for unspecified gender is 64.2 ( 50 Students)
Average score for grade 10 is: 66.3 ( 533 Students)
Average score for grade 9 is: 64.1 ( 306 Students)
Average score for grade 8 and below is: 70.5 ( 18 Students)
Average score with unknown grade: 61.7 ( 18 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 37
Average school winning score 98.84
American Mathematics Competitions
2005 AMC 12 A Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1373
Number of unofficial participants: 161
Average score of participants: 70.5
Average score for female students is: 66.2 ( 640 Students)
Average score for male students is: 74.6 ( 676 Students)
Average score for unspecified gender is 71.0 ( 57 Students)
Average score for grade 13 is: 29.0 ( 1 Student)
Average score for grade 12 is: 71.0 ( 683 Students)
Average score for grade 11 is: 68.6 ( 584 Students)
Average score for grade 10 is: 77.0 ( 77 Students)
Average score for grade 9 is: 100.4 ( 12 Students)
Average score for grade 8 and below is: 83.3 ( 3 Students)
Average score with unknown grade: 62.7 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 83
Number of schools returning results 47
Average school winning score 103.00
Average school team score 278.79
American Mathematics Competitions
2005 AMC 10 B Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1625
Number of unofficial participants: 28
Average score of participants: 80.8
Average score for female students is: 77.5 ( 741 Students)
Average score for male students is: 84.4 ( 777 Students)
Average score for unspecified gender is 77.8 ( 107 Students)
Average score for grade 10 is: 81.1 ( 922 Students)
Average score for grade 9 is: 79.3 ( 600 Students)
Average score for grade 8 and below is: 91.9 ( 85 Students)
Average score with unknown grade: 67.5 ( 18 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 28
Number of schools returning results 42
Average school winning score 105.96
American Mathematics Competitions
2005 AMC 12 B Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2448
Number of unofficial participants: 22
Average score of participants: 84.2
Average score for female students is: 81.1 ( 1014 Students)
Average score for male students is: 86.7 ( 1340 Students)
Average score for unspecified gender is 80.7 ( 94 Students)
Average score for grade 13 is: 54.5 ( 1 Student)
Average score for grade 12 is: 83.8 ( 967 Students)
Average score for grade 11 is: 83.7 ( 1168 Students)
Average score for grade 10 is: 89.0 ( 215 Students)
Average score for grade 9 is: 83.9 ( 54 Students)
Average score for grade 8 and below is: 81.4 ( 16 Students)
Average score with unknown grade: 81.6 ( 27 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 316
Number of schools returning results 56
Average school winning score 107.36
Average school team score 300.79
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
425.0 1 1
423.0 1 2
360.0 1 3
356.5 1 4
345.5 1 5
342.5 1 6
341.0 1 7
339.5 1 8
339.0 1 9
338.5 1 10
337.5 1 11
332.5 1 12
331.5 1 13
330.5 1 14
329.0 1 15
328.5 1 16
325.0 1 17
323.5 1 18
321.5 1 19
320.0 1 20
319.0 2 21
318.5 1 23
317.0 2 24
316.5 2 26
315.5 1 28
313.0 1 29
312.0 1 2 30
311.0 1 33
309.5 1 34
308.5 3 35
308.0 1 38
307.5 1 39
305.5 1 40
305.0 1 41
304.5 1 1 42
303.0 1 44
301.5 1 1 45
300.5 1 47
300.0 1 1 48
298.5 1 50
297.5 1 51
297.0 1 1 52
296.5 2 54
295.5 1 56
294.0 1 57
291.5 2 58
290.5 1 60
288.5 2 61
286.0 1 63
285.0 1 64
284.5 1 65
280.0 1 66
277.0 2 67
276.5 1 69
275.5 1 70
275.0 1 71
273.5 2 1 72
272.5 1 75
272.0 1 76
271.5 1 77
269.0 1 78
266.0 1 79
265.5 1 80
264.5 1 81
262.0 1 82
261.0 1 1 83
258.0 1 85
256.5 2 86
255.0 2 88
253.5 2 1 90
248.5 1 93
248.0 1 94
245.0 1 95
241.0 1 96
238.5 1 97
237.0 1 98
198.5 1 99
196.5 1 100
137.0 1 101
119.5 1 102
105.5 1 103
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 3
144.0 1 1 4
143.0 2
140.5 3 1
139.5 1 1
138.0 1 1 1
137.0 1 1
136.0 1
134.5 1 1
133.5 2
132.5 2 1
132.0 1 1
131.0 1 1
130.0 2 1 3
129.0 2
127.5 2 1
126.5 2 1
125.0 1
124.0 1 2
123.0 4 1 2
122.0 1 2 2
121.5 2
120.5 1 2
120.0 1
119.5 2 5
118.5 3 6 1 2
118.0 1 3 1
117.0 3 3
116.0 1 9 9
115.5 1 1 1
115.0 3 2
114.5 1 5
113.5 1 5 4
112.5 1 7 5
112.0 2
111.5 7 11 2
111.0 5 1 5
110.0 2 10 2 8
109.0 3 13 1 4
108.5 1 2 3
108.0 3 25 1
107.5 3 5 5
107.0 1
106.5 3 8 2 11
106.0 1 7
105.5 7 28 1 12
105.0 4 1 9
104.5 8 28 5
104.0 2 9 23
103.5 1 2
103.0 3 18 2 8
102.5 1 2 3
102.0 3 39 1 8
101.5 6 12
101.0 9 28 1 3
100.5 1 15 3 13
100.0 1 3
99.5 5 27 4 8
99.0 4 1 4
98.5 6 61 4 11
98.0 18 2 15
97.5 21 1 3
97.0 6 28 1 19
96.5 3
96.0 7 54 1 20
95.5 1 8 10
95.0 17 74 2 17
94.5 5 10 2 20
94.0 7 12 8
93.5 7 42 8 27
93.0 1 2 11
92.5 12 64 8 20
92.0 12 3 15
91.5 9 42 4 17
91.0 2 16 2 20
90.5 9 14 10
90.0 9 58 13 28
89.5 1 4 2 7
89.0 23 91 8 36
88.5 3 22 25
88.0 10 26 7 18
87.5 7 24 6 28
87.0 8 10 4
86.5 14 54 7 30
86.0 2 14 5 14
85.5 10 54 11 23
85.0 5 20 4 20
84.5 19 28 7 11
84.0 11 46 11 23
83.5 7 17 1 12
83.0 25 69 7 28
82.5 2 14 3 16
82.0 11 40 8 20
81.5 6 31 8 22
81.0 24 31 8 9
80.5 27 61 8 28
80.0 8 13 2 20
79.5 20 45 8 14
79.0 7 16 3 12
78.5 24 32 4 20
78.0 15 38 6 27
77.5 17 16 2 15
77.0 28 51 7 26
76.5 11 16 7 10
76.0 19 43 9 16
75.5 11 19 11 13
75.0 21 21 13 12
74.5 14 34 9 19
74.0 16 9 4 16
73.5 16 29 8 17
73.0 12 21 5 16
72.5 19 22 11 13
72.0 15 24 11 25
71.5 17 18 10 6
71.0 19 40 6 19
70.5 9 11 12 7
70.0 14 22 10 16
69.5 7 15 7 16
69.0 23 11 12 7
68.5 9 22 11 21
68.0 18 14 12 13
67.5 24 24 16 10
67.0 3 10 12 5
66.5 19 8 14 18
66.0 10 21 10 14
65.5 14 11 6 7
65.0 23 14 15 11
64.5 16 11 13 11
64.0 16 7 5 11
63.5 5 10 4 17
63.0 14 8 8 5
62.5 12 9 9 12
62.0 12 6 7 6
61.5 9 5 11 12
61.0 15 11 8 7
60.5 14 7 11 10
60.0 21 10 15 11
59.5 8 7 6 6
59.0 14 7 7 9
58.5 12 3 4 5
58.0 6 5 9 6
57.5 5 6 5 6
57.0 10 8 14 12
56.5 10 2 5 7
56.0 7 4 6 11
55.5 5 4 6 4
55.0 7 4 8 5
54.5 5 7 7 4
54.0 31 13 24 9
53.5 6 1 7 3
53.0 16 7 3
52.5 5 2 3 5
52.0 4 4 6 2
51.5 3 2 4 3
51.0 9 3 2 4
50.5 8 3 6 2
50.0 7 5
49.5 6 2 12 5
49.0 6 3 4 3
48.5 3 1 3 3
48.0 20 10 19 8
47.5 4 3 2
47.0 3 3 6 5
46.5 2 3 2
46.0 3 3 3 2
45.5 2 3 2
45.0 1 2 2 3
44.5 6 1 6 2
44.0 2 1 2
43.5 3 5 1
43.0 3 3 2
42.5 2 3
42.0 14 4 15 2
41.5 3 1 1 4
41.0 2 3 2
40.5 1 2 3
40.0 2 2
39.5 1 1
39.0 1 1 1
38.5 6 1 4 3
38.0 2 1
37.5 1 1 2
37.0 4
36.0 21 7 21 6
35.5 1 1 3
35.0 1 3 1
34.0 2 2 2
33.5 1
33.0 1
32.5 2 1
32.0 1 2 1
31.5 2
31.0 1
30.5 1 1 1
30.0 18 2 12 3
29.5 1
29.0 2 1 2
27.0 1
26.5 2 1
25.5 1 2
25.0 1
24.5 1
24.0 14 1 8 3
23.0 1
20.5 1
19.5 1
18.0 9 1 8
16.0 1
12.0 4 1 1
American Mathematics Competitions
2005 AMC 10 A Results for 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 1 2
149.0 124.0 1 99.0 1
148.5 123.5 98.5 2
148.0 123.0 98.0 2
147.5 122.5 97.5 1
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 1 95.0 1 1
144.5 119.5 94.5 1 1
144.0 1 119.0 94.0
143.5 118.5 1 93.5 5 1
143.0 118.0 93.0 1 1
142.5 117.5 92.5 5 3
142.0 117.0 92.0 2 1
141.5 116.5 91.5 3 1
141.0 116.0 91.0 1 1
140.5 115.5 1 90.5
140.0 115.0 90.0 9 2
139.5 114.5 89.5 2
139.0 114.0 89.0 4 4
138.5 113.5 88.5
138.0 113.0 88.0 5 2
137.5 112.5 87.5 5 1
137.0 112.0 87.0
136.5 111.5 86.5 4 3
136.0 111.0 1 86.0 3 2
135.5 110.5 85.5 6 5
135.0 110.0 1 1 85.0 3 1
134.5 1 109.5 84.5 5 2
134.0 109.0 1 84.0 7 4
133.5 108.5 1 1 83.5 1
133.0 108.0 83.0 3 1
132.5 107.5 82.5 2 1
132.0 1 107.0 82.0 5 3
131.5 106.5 1 1 81.5 4 4
131.0 106.0 81.0 3 5
130.5 105.5 1 80.5 7 1
130.0 105.0 1 80.0 2
129.5 104.5 79.5 4 4
129.0 104.0 79.0 2 1
128.5 103.5 1 78.5 3 1
128.0 103.0 1 1 78.0 5
127.5 102.5 1 1 77.5 2
127.0 102.0 1 77.0 3 4
126.5 101.5 76.5 5 1
126.0 101.0 1 76.0 3 6
125.5 100.5 2 1 75.5 6 3
American Mathematics Competitions
2005 AMC 10 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 7 50.0 25.0 1
74.5 4 3 49.5 3 7 24.5
74.0 1 2 49.0 1 3 24.0 2 5
73.5 3 5 48.5 1 2 23.5
73.0 3 2 48.0 8 8 23.0
72.5 5 6 47.5 3 22.5
72.0 5 5 47.0 3 2 22.0
71.5 2 7 46.5 1 2 21.5
71.0 2 4 46.0 2 21.0
70.5 6 6 45.5 2 1 20.5 1
70.0 5 4 45.0 2 20.0
69.5 4 3 44.5 4 2 19.5 1
69.0 5 7 44.0 1 1 19.0
68.5 6 5 43.5 2 3 18.5
68.0 3 8 43.0 2 1 18.0 2 6
67.5 6 9 42.5 1 1 17.5
67.0 5 7 42.0 3 11 17.0
66.5 3 9 41.5 1 16.5
66.0 3 7 41.0 2 1 16.0
65.5 3 3 40.5 2 15.5
65.0 7 8 40.0 1 1 15.0
64.5 7 6 39.5 14.5
64.0 3 2 39.0 1 14.0
63.5 3 38.5 2 2 13.5
63.0 4 4 38.0 1 13.0
62.5 5 2 37.5 1 12.5
62.0 3 4 37.0 12.0 1
61.5 4 7 36.5 11.5
61.0 2 5 36.0 14 7 11.0
60.5 3 8 35.5 1 2 10.5
60.0 5 10 35.0 3 10.0
59.5 3 3 34.5 9.5
59.0 2 5 34.0 2 9.0
58.5 1 3 33.5 1 8.5
58.0 4 5 33.0 8.0
57.5 1 3 32.5 1 7.5
57.0 7 6 32.0 1 1 7.0
56.5 3 2 31.5 6.5
56.0 1 5 31.0 6.0
55.5 1 4 30.5 1 5.5
55.0 2 6 30.0 4 8 5.0
54.5 4 3 29.5 4.5
54.0 5 14 29.0 1 4.0
53.5 2 5 28.5 3.5
53.0 6 1 28.0 3.0
52.5 1 2 27.5 2.5
52.0 1 5 27.0 1 2.0
51.5 1 2 26.5 1 1.5
51.0 2 26.0 1.0
50.5 5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1
134.5 1
132.0 1
124.0 1
120.0 1
118.5 1
115.5 1
111.0 1
110.0 2
109.0 1
108.5 2
106.5 1 1
105.5 1
105.0 1
103.5 1
103.0 2
102.5 1 1
102.0 1
101.0 1
100.5 1 2
99.5 4
99.0 1
98.5 1 2 1
98.0 2
97.5 1
97.0 1
96.0 1
95.0 1 1
94.5 2
93.5 2 6
93.0 2
92.5 3 5
92.0 1 2
91.5 1 3
91.0 1 1
90.0 2 11
89.5 2
89.0 2 6
88.0 1 6
87.5 2 4
86.5 2 5
86.0 4 1
85.5 1 4 6
85.0 1 2 1
84.5 2 5
84.0 5 6
83.5 1
83.0 2 5
82.5 3
82.0 1 2 5
81.5 3 5
81.0 3 4 1
80.5 2 6
80.0 2
79.5 5 3
79.0 2 1
78.5 3 1
78.0 1 5
77.5 1 1
77.0 2 5
76.5 3 3 1
76.0 3 6
75.5 4 5 2
75.0 6 7
74.5 4 5
74.0 4
73.5 3 5
73.0 2 3
72.5 5 5 1
72.0 2 9
71.5 1 2 6 1
71.0 4 2
70.5 8 4
70.0 1 4 5
69.5 2 5
69.0 2 5 5
68.5 1 10
68.0 8 4
67.5 4 12
67.0 5 7
66.5 1 2 11
66.0 4 6
65.5 4 2
65.0 2 13
64.5 4 9
64.0 2 3
63.5 2 2
63.0 1 7
62.5 3 6
62.0 1 6
61.5 7 4
61.0 4 4
60.5 3 7 1
60.0 1 6 8
59.5 4 2
59.0 1 5 1
58.5 1 3
58.0 5 4
57.5 2 2 1
57.0 5 8 1
56.5 1 3 1
56.0 1 5
55.5 1 3 2
55.0 3 5
54.5 4 3
54.0 1 6 16 1
53.5 3 4
53.0 4 3
52.5 2 1
52.0 3 3
51.5 4
51.0 2
50.5 4 1 1
49.5 5 7
49.0 1 3
48.5 3
48.0 5 13 1
47.5 2 1
47.0 1 5
46.5 3
46.0 1 1 1
45.5 1 2
45.0 2
44.5 1 3 2
44.0 2
43.5 5
43.0 1 2
42.5 2
42.0 8 6 1
41.5 1
41.0 1 2
40.5 2 1
40.0 2
39.0 1
38.5 3 1
38.0 1
37.5 1
36.0 1 9 11
35.5 3
35.0 3
34.0 2
33.5 1
32.5 1
32.0 2
30.5 1
30.0 3 9
29.0 1 1
27.0 1
26.5 1
25.5 1
25.0 1
24.0 4 4
23.0 1
20.5 1
19.5 1
18.0 1 3 4
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for 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 0.24 0.16 0.46 8.14* 0.58 0.42 0.00
2 0.32 0.33 5.11* 0.11 2.05 2.08 0.00
3 0.11 8.47* 0.43 0.49 0.14 0.35 0.00
4 0.54 1.15* 2.54 0.90 0.66 4.21 0.00
5 5.03* 0.58 3.98 0.08 0.17 0.16 0.00
6 0.29 3.76* 4.37 0.22 0.18 1.19 0.00
7 1.13 3.22* 0.50 0.54 1.02 3.59 0.00
8 1.55 0.54 3.25* 0.29 0.24 4.14 0.00
9 1.21 5.41* 1.28 0.34 0.25 1.51 0.00
10 1.52* 0.86 1.28 0.63 0.16 5.55 0.00
11 0.73 2.22* 0.45 1.05 0.26 5.29 0.00
12 0.66 0.83* 1.05 0.41 0.93 6.11 0.00
13 1.86 1.07 0.59 0.46 0.73* 5.28 0.00
14 0.80 0.80 0.62 0.69 1.86* 5.22 0.01
15 0.74 0.87 0.81 0.98 0.69* 5.91 0.00
16 0.90 0.67 0.86 1.57* 0.35 5.65 0.00
17 0.43 0.54 0.86 2.11* 0.80 5.26 0.00
18 1.54* 1.92 1.43 2.90 0.51 1.68 0.01
19 0.69 0.94 1.33 2.74* 0.78 3.53 0.00
20 0.55* 0.70 0.87 0.86 0.49 6.53 0.01
21 1.85 0.83* 0.45 0.45 0.64 5.78 0.00
22 0.90 0.67 0.56 1.92* 0.72 5.22 0.00
23 0.34 0.59 1.53* 1.14 0.91 5.46 0.01
24 1.17 1.14* 0.55 0.41 0.22 6.51 0.00
25 0.49 0.98 0.96 1.05* 0.29 6.23 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 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 4 1
149.0 124.0 99.0
148.5 123.5 98.5 3 3
148.0 123.0 3 1 98.0
147.5 122.5 97.5
147.0 122.0 1 97.0 6
146.5 121.5 96.5
146.0 121.0 96.0 5 1
145.5 120.5 95.5 1
145.0 120.0 95.0 11 5
144.5 119.5 2 94.5 2 2
144.0 1 119.0 94.0 6 1
143.5 118.5 2 1 93.5 3 4
143.0 118.0 1 93.0
142.5 117.5 92.5 8 3
142.0 117.0 92.0
141.5 116.5 91.5 6 3
141.0 116.0 1 91.0 1
140.5 2 1 115.5 1 90.5 4 4
140.0 115.0 90.0 6 3
139.5 114.5 1 89.5 1
139.0 114.0 89.0 14 6
138.5 113.5 1 88.5 2 1
138.0 1 113.0 88.0 4 6
137.5 112.5 1 87.5 4 3
137.0 1 112.0 87.0 7 1
136.5 111.5 6 1 86.5 11 3
136.0 111.0 86.0 1 1
135.5 110.5 85.5 5 5
135.0 110.0 2 85.0 4 1
134.5 109.5 84.5 11 8
134.0 109.0 2 84.0 7 4
133.5 108.5 83.5 3 4
133.0 108.0 2 1 83.0 16 8
132.5 107.5 2 1 82.5 2
132.0 107.0 82.0 7 3
131.5 106.5 1 1 81.5 1 5
131.0 106.0 81.0 14 9
130.5 105.5 6 1 80.5 17 10
130.0 2 105.0 80.0 4 3
129.5 104.5 5 3 79.5 13 6
129.0 2 104.0 2 79.0 3 4
128.5 103.5 78.5 7 15
128.0 103.0 2 78.0 10 4
127.5 2 102.5 77.5 10 7
127.0 102.0 2 1 77.0 20 8
126.5 101.5 76.5 4 7
126.0 101.0 5 4 76.0 9 8
125.5 100.5 1 75.5 4 7
American Mathematics Competitions
2005 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 10 50.0 6 1 25.0
74.5 7 6 49.5 3 3 24.5
74.0 9 6 49.0 4 2 24.0 4 10
73.5 11 5 48.5 1 2 23.5
73.0 5 7 48.0 8 12 23.0
72.5 8 10 47.5 1 3 22.5
72.0 7 8 47.0 2 1 22.0
71.5 5 12 46.5 2 21.5
71.0 7 11 46.0 1 2 21.0
70.5 6 3 45.5 1 1 20.5
70.0 9 5 45.0 1 20.0
69.5 2 5 44.5 4 2 19.5
69.0 6 17 44.0 1 1 19.0
68.5 4 5 43.5 3 18.5
68.0 6 12 43.0 1 2 18.0 4 5
67.5 14 9 42.5 17.5
67.0 1 2 42.0 8 6 17.0
66.5 7 9 41.5 3 16.5
66.0 8 2 41.0 2 16.0 1
65.5 5 9 40.5 1 15.5
65.0 12 10 40.0 15.0
64.5 6 9 39.5 1 14.5
64.0 7 7 39.0 14.0
63.5 1 3 38.5 1 5 13.5
63.0 7 6 38.0 1 1 13.0
62.5 6 4 37.5 1 12.5
62.0 3 9 37.0 2 1 12.0 4
61.5 4 4 36.5 11.5
61.0 2 13 36.0 8 11 11.0
60.5 3 8 35.5 1 10.5
60.0 15 6 35.0 1 10.0
59.5 3 5 34.5 9.5
59.0 3 10 34.0 2 9.0
58.5 6 5 33.5 8.5
58.0 6 33.0 1 8.0
57.5 3 2 32.5 2 7.5
57.0 3 7 32.0 1 7.0
56.5 6 3 31.5 6.5
56.0 2 4 31.0 1 6.0
55.5 2 3 30.5 1 5.5
55.0 3 4 30.0 4 13 5.0
54.5 2 3 29.5 4.5
54.0 13 18 29.0 1 4.0
53.5 2 3 28.5 3.5
53.0 6 8 28.0 3.0
52.5 1 4 27.5 2.5
52.0 3 27.0 2.0
51.5 1 2 26.5 2 1.5
51.0 4 4 26.0 1.0
50.5 3 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
140.5 3
139.5 1
138.0 1
137.0 1
130.0 1 1
129.0 1 1
127.5 1 1
123.0 1 2 1
122.0 1
119.5 1 1
118.5 1 2
118.0 1
116.0 1
115.5 1
114.5 1
113.5 1
112.5 1
111.5 1 1 3 2
110.0 2
109.0 3
108.0 1 2
107.5 1 1 1
106.5 1 1 1
105.5 5 2
104.5 2 2 4
104.0 1 1
103.0 1 2
102.0 1 2
101.0 3 6
100.5 1
99.5 1 2 1 1
98.5 3 3
97.0 1 5
96.0 7
95.5 1
95.0 2 3 12
94.5 1 2 2
94.0 1 1 5
93.5 3 4
92.5 8 4
91.5 5 4
91.0 1 1
90.5 3 6
90.0 1 2 1 5
89.5 1
89.0 1 1 6 15
88.5 1 1 1
88.0 1 5 4
87.5 1 6
87.0 3 5
86.5 9 5
86.0 1 1
85.5 1 6 3
85.0 3 2
84.5 2 5 12
84.0 3 8
83.5 2 5
83.0 1 13 11
82.5 2
82.0 1 1 3 6
81.5 3 3
81.0 1 8 15
80.5 1 11 15
80.0 4 4
79.5 1 9 10
79.0 1 5 1
78.5 1 3 20
78.0 1 6 8
77.5 2 6 9
77.0 9 18 1
76.5 2 9
76.0 2 8 8 1
75.5 2 4 5
75.0 6 15
74.5 2 5 7
74.0 1 7 8
73.5 2 7 7
73.0 7 5
72.5 1 7 11
72.0 2 8 5
71.5 1 8 8
71.0 1 13 4 1
70.5 3 5 1
70.0 1 8 5
69.5 1 6
69.0 1 1 8 12 1
68.5 2 4 3
68.0 1 11 6
67.5 1 9 13 1
67.0 3
66.5 9 9 1
66.0 3 7
65.5 2 2 10
65.0 1 6 16
64.5 1 12 3
64.0 1 9 6
63.5 4 1
63.0 1 6 7
62.5 1 7 3 1
62.0 7 5
61.5 2 6 1
61.0 8 7
60.5 7 7
60.0 2 11 8
59.5 2 4 2
59.0 8 6
58.5 5 7
58.0 3 3
57.5 5
57.0 1 6 3
56.5 6 4
56.0 3 4
55.5 4 1
55.0 4 3
54.5 3 2
54.0 3 12 16
53.5 2 3 1
53.0 1 6 8 1
52.5 1 4
52.0 3 1
51.5 1 2
51.0 6 2 1
50.5 2 2 4
50.0 3 4
49.5 4 2
49.0 1 5
48.5 1 2
48.0 11 9
47.5 1 3
47.0 3
46.5 1 1
46.0 3
45.5 2
45.0 1
44.5 1 2 3
44.0 1 1
43.5 1 2
43.0 1 2
42.0 9 5
41.5 1 2
41.0 2
40.5 1
39.5 1
38.5 3 3
38.0 2
37.5 1
37.0 2 2
36.0 2 8 10 1
35.5 1
35.0 1
34.0 1 1
33.0 1
32.5 2
32.0 1
31.0 1
30.5 1
30.0 12 6
29.0 1 1
26.5 2
24.0 1 8 5
18.0 1 4 4
16.0 1
12.0 3 1
American Mathematics Competitions
2005 AMC 12 A Results for 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 0.14 0.15 0.25 8.89* 0.17 0.41 0.00
2 0.05 9.13* 0.40 0.28 0.05 0.08 0.00
3 0.55 2.86* 1.79 0.63 0.60 3.57 0.00
4 6.10* 0.41 3.24 0.09 0.02 0.14 0.00
5 0.25 5.62* 2.94 0.15 0.15 0.90 0.00
6 0.61 4.20* 0.44 0.58 0.82 3.35 0.00
7 1.06 0.46 5.35* 0.21 0.26 2.66 0.00
8 0.47 0.86 0.52 1.54* 0.47 6.14 0.00
9 2.45* 0.59 1.33 0.58 0.19 4.87 0.00
10 0.55 2.51* 0.44 0.78 0.11 5.61 0.00
11 0.86 0.71 0.68 0.66 2.45* 4.64 0.01
12 1.17 0.41 0.43 2.63* 1.38 3.98 0.00
13 0.30 0.39 0.63 2.67* 0.62 5.38 0.01
14 0.49 0.62 3.29 1.03* 0.47 4.09 0.01
15 0.34 0.58 1.40* 1.01 0.87 5.80 0.01
16 0.38 0.61 1.02 0.76* 0.36 6.85 0.01
17 1.33* 1.19 1.30 0.50 0.39 5.29 0.00
18 0.40* 0.55 0.58 0.54 0.45 7.48 0.00
19 0.84 1.97* 1.28 0.72 0.98 4.20 0.01
20 0.42 0.47 0.54 0.25 0.38* 7.93 0.00
21 0.44 0.63 0.55* 0.39 0.15 7.84 0.00
22 0.53 0.81* 0.45 0.49 0.28 7.44 0.00
23 0.66 0.58* 0.45 0.39 0.48 7.44 0.00
24 0.28 0.52* 0.42 0.33 0.15 8.32 0.00
25 0.60 0.46 0.49* 0.42 0.23 7.79 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 Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 100.0 3
149.5 124.5 99.5 4 4
149.0 124.0 2 99.0 3 1
148.5 123.5 98.5 3 7
148.0 123.0 2 98.0 9 5
147.5 122.5 97.5 2 1
147.0 122.0 1 1 97.0 11 8
146.5 121.5 1 1 96.5 3
146.0 121.0 96.0 13 5
145.5 120.5 2 95.5 6 2
145.0 120.0 95.0 11 5
144.5 119.5 94.5 10 8
144.0 4 119.0 94.0 5 3
143.5 118.5 1 1 93.5 14 12
143.0 118.0 1 93.0 7 4
142.5 117.5 92.5 10 9
142.0 117.0 2 1 92.0 8 7
141.5 116.5 91.5 8 7
141.0 116.0 7 2 91.0 6 10
140.5 115.5 1 90.5 5 5
140.0 115.0 2 90.0 16 11
139.5 114.5 5 89.5 2 4
139.0 114.0 89.0 16 18
138.5 113.5 2 2 88.5 14 11
138.0 1 113.0 88.0 8 9
137.5 112.5 3 2 87.5 10 16
137.0 112.0 2 87.0 1 3
136.5 111.5 1 1 86.5 16 14
136.0 111.0 5 86.0 6 7
135.5 110.5 85.5 11 12
135.0 110.0 4 3 85.0 8 9
134.5 1 109.5 84.5 4 6
134.0 109.0 2 2 84.0 8 13
133.5 2 108.5 2 1 83.5 5 6
133.0 108.0 1 83.0 19 9
132.5 1 107.5 5 82.5 6 9
132.0 107.0 1 82.0 4 16
131.5 106.5 8 2 81.5 11 8
131.0 1 106.0 4 2 81.0 4 5
130.5 105.5 6 6 80.5 11 16
130.0 3 105.0 8 1 80.0 7 12
129.5 104.5 3 2 79.5 7 7
129.0 104.0 15 4 79.0 4 7
128.5 103.5 2 78.5 10 10
128.0 103.0 4 4 78.0 14 8
127.5 1 102.5 3 77.5 7 8
127.0 102.0 6 1 77.0 12 11
126.5 1 101.5 7 4 76.5 8 2
126.0 101.0 2 1 76.0 7 8
125.5 100.5 8 4 75.5 6 7
American Mathematics Competitions
2005 AMC 10 B Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 8 50.0 4 25.0
74.5 7 10 49.5 2 3 24.5
74.0 11 4 49.0 3 24.0 1 1
73.5 10 5 48.5 3 23.5
73.0 5 11 48.0 5 2 23.0
72.5 4 8 47.5 1 1 22.5
72.0 10 14 47.0 3 2 22.0
71.5 3 2 46.5 2 21.5
71.0 4 13 46.0 2 21.0
70.5 4 3 45.5 1 1 20.5
70.0 6 6 45.0 1 2 20.0
69.5 4 11 44.5 1 1 19.5
69.0 5 2 44.0 19.0
68.5 9 9 43.5 1 18.5
68.0 7 6 43.0 2 18.0
67.5 1 8 42.5 2 1 17.5
67.0 1 3 42.0 2 17.0
66.5 6 10 41.5 4 16.5
66.0 8 4 41.0 1 1 16.0
65.5 2 3 40.5 15.5
65.0 6 5 40.0 15.0
64.5 4 6 39.5 1 14.5
64.0 6 3 39.0 1 14.0
63.5 8 9 38.5 1 2 13.5
63.0 3 2 38.0 13.0
62.5 3 8 37.5 2 12.5
62.0 2 3 37.0 12.0
61.5 4 7 36.5 11.5
61.0 2 3 36.0 4 2 11.0
60.5 4 4 35.5 10.5
60.0 2 8 35.0 1 10.0
59.5 3 3 34.5 9.5
59.0 4 5 34.0 1 9.0
58.5 3 1 33.5 8.5
58.0 4 2 33.0 8.0
57.5 3 3 32.5 7.5
57.0 3 8 32.0 1 7.0
56.5 3 4 31.5 1 1 6.5
56.0 3 6 31.0 6.0
55.5 1 3 30.5 1 5.5
55.0 5 30.0 3 5.0
54.5 1 3 29.5 4.5
54.0 4 5 29.0 4.0
53.5 1 2 28.5 3.5
53.0 1 2 28.0 3.0
52.5 2 3 27.5 2.5
52.0 2 27.0 2.0
51.5 2 1 26.5 1.5
51.0 3 1 26.0 1.0
50.5 1 25.5 2 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 2 1
144.0 1 2 1
138.0 1
134.5 1
133.5 1 1
132.5 1
131.0 1
130.0 1 1 1
127.5 1
126.5 1
124.0 1 1
123.0 1 1
122.0 2
121.5 2
120.5 1 1
118.5 2
118.0 1
117.0 2 1
116.0 1 8
115.5 1
115.0 2
114.5 4 1
113.5 3 1
112.5 1 1 3
112.0 1 1
111.5 1 1
111.0 1 4
110.0 1 6 1
109.0 1 3
108.5 2 1
108.0 1
107.5 1 2 1 1
107.0 1
106.5 1 1 2 7
106.0 1 6
105.5 7 5
105.0 2 7
104.5 2 1 2
104.0 7 16
103.5 2
103.0 1 4 3
102.5 3
102.0 1 4 3
101.5 1 2 9
101.0 1 2
100.5 1 3 9
100.0 3
99.5 1 2 5
99.0 4
98.5 3 2 6
98.0 2 7 6
97.5 1 2
97.0 2 7 10
96.5 2 1
96.0 4 6 10
95.5 6 4
95.0 2 5 10
94.5 1 7 12
94.0 1 1 6
93.5 4 8 14 1
93.0 2 9
92.5 1 5 14
92.0 2 3 10
91.5 4 13
91.0 1 6 13
90.5 1 4 5
90.0 1 14 13
89.5 2 5
89.0 16 20
88.5 2 6 17
88.0 1 9 8
87.5 3 10 15
87.0 1 2 1
86.5 2 10 18
86.0 4 9 1
85.5 7 16
85.0 1 9 10
84.5 5 5 1
84.0 12 11
83.5 1 8 3
83.0 1 9 17 1
82.5 7 9
82.0 2 10 8
81.5 4 18
81.0 4 5
80.5 1 10 17
80.0 2 5 12 1
79.5 2 5 7
79.0 5 7
78.5 1 7 12
78.0 1 11 15
77.5 1 6 8
77.0 1 8 17
76.5 6 4
76.0 2 13 1
75.5 7 6
75.0 5 7
74.5 2 8 9
74.0 1 2 13
73.5 1 3 13
73.0 6 10
72.5 5 8
72.0 1 7 17
71.5 2 4
71.0 1 8 10
70.5 4 3
70.0 1 5 9 1
69.5 1 8 7
69.0 1 1 5
68.5 1 12 8
68.0 7 6
67.5 4 6
67.0 3 1 1
66.5 10 7 1
66.0 2 6 6
65.5 4 3
65.0 6 5
64.5 4 7
64.0 5 6
63.5 8 9
63.0 4 1
62.5 6 6
62.0 2 4
61.5 6 6
61.0 2 5
60.5 2 7 1
60.0 5 5 1
59.5 3 3
59.0 4 5
58.5 1 4
58.0 3 3
57.5 3 3
57.0 5 7
56.5 3 4
56.0 1 1 7 2
55.5 1 3
55.0 2 3
54.5 1 3
54.0 3 6
53.5 2 1
53.0 2 1
52.5 5
52.0 1 1
51.5 2 1
51.0 2 2
50.5 1 1
50.0 1 3 1
49.5 3 2
49.0 1 2
48.5 3
48.0 2 6
47.5 1 1
47.0 4 1
46.5 2
46.0 2
45.5 2
45.0 1 2
44.5 1 1
43.5 1
43.0 1 1
42.5 2 1
42.0 2
41.5 2 2
41.0 2
39.5 1
39.0 1
38.5 1 2
37.5 2
36.0 3 3
35.0 1
34.0 1 1
32.0 1
31.5 2
30.5 1
30.0 1 1 1
29.5 1
25.5 2
24.0 3
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for 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 8.85* 0.19 0.33 0.13 0.42 0.09 0.00
2 0.14 0.18 0.09 8.83* 0.25 0.50 0.00
3 0.02 0.56 2.00 6.19* 0.85 0.38 0.00
4 0.78 0.08 0.71 5.48* 0.22 2.74 0.00
5 0.12 0.06 8.93* 0.15 0.33 0.41 0.00
6 0.09 8.68* 0.17 0.28 0.21 0.57 0.00
7 0.89 1.58* 0.29 1.10 0.58 5.56 0.00
8 6.12* 0.10 1.05 0.04 0.07 2.62 0.00
9 0.46 0.50 1.69 5.57* 0.46 1.34 0.00
10 1.46* 0.82 0.62 0.33 0.22 6.55 0.00
11 0.25 0.62 0.16 2.06 2.15* 4.78 0.00
12 0.46 1.25 0.57 0.33 0.34* 7.05 0.00
13 0.46 0.47 1.98* 1.70 0.35 5.04 0.00
14 0.31 0.25 1.97* 2.00 0.50 4.97 0.00
15 1.38 0.47 0.78 4.27* 0.49 2.60 0.00
16 0.31 0.71 0.71 0.46* 0.12 7.67 0.00
17 0.37 2.90* 0.90 0.36 0.18 5.29 0.00
18 0.40 4.47 1.06 2.24* 0.55 1.27 0.00
19 0.49 6.28* 0.37 0.42 0.25 2.18 0.00
20 0.59 0.42 1.06* 0.31 0.31 7.30 0.00
21 0.26* 0.24 0.26 0.27 0.19 8.78 0.00
22 0.62 1.10 0.46* 0.24 0.18 7.40 0.00
23 2.84 0.42 0.58* 0.16 0.16 5.83 0.00
24 0.31 0.14 0.20 0.28 1.12* 7.94 0.00
25 0.33 0.29 3.43* 0.23 0.14 5.58 0.01
(*) 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 Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 1
149.5 124.5 99.5 20 7
149.0 124.0 99.0 2 2
148.5 123.5 98.5 43 18
148.0 123.0 1 98.0 12 4
147.5 122.5 97.5 12 9
147.0 122.0 2 97.0 18 8
146.5 121.5 96.5
146.0 121.0 96.0 34 16
145.5 120.5 1 95.5 8
145.0 120.0 95.0 40 30
144.5 119.5 4 1 94.5 4 5
144.0 119.0 94.0 6 6
143.5 118.5 5 93.5 27 13
143.0 2 118.0 2 1 93.0 1
142.5 117.5 92.5 35 28
142.0 117.0 3 92.0 6 6
141.5 116.5 91.5 20 22
141.0 116.0 9 91.0 13 3
140.5 1 115.5 90.5 6 8
140.0 115.0 3 90.0 39 19
139.5 1 114.5 89.5 2 2
139.0 114.0 89.0 49 38
138.5 113.5 3 1 88.5 16 5
138.0 1 113.0 88.0 8 17
137.5 112.5 5 2 87.5 12 11
137.0 1 112.0 87.0 7 2
136.5 111.5 9 1 86.5 29 24
136.0 1 111.0 5 86.0 10 4
135.5 110.5 85.5 27 24
135.0 110.0 8 1 85.0 8 11
134.5 109.5 84.5 12 16
134.0 109.0 12 1 84.0 29 15
133.5 108.5 1 83.5 7 10
133.0 108.0 18 6 83.0 35 32
132.5 2 107.5 4 82.5 9 5
132.0 1 107.0 82.0 20 18
131.5 106.5 4 2 81.5 15 16
131.0 1 106.0 1 81.0 18 11
130.5 105.5 23 5 80.5 25 33
130.0 1 105.0 4 80.0 6 7
129.5 104.5 14 13 79.5 22 23
129.0 104.0 8 1 79.0 8 8
128.5 103.5 78.5 14 16
128.0 103.0 14 4 78.0 21 15
127.5 102.5 1 77.5 6 10
127.0 102.0 28 11 77.0 30 18
126.5 2 101.5 3 3 76.5 9 7
126.0 101.0 18 10 76.0 13 25
125.5 100.5 9 5 75.5 10 6
American Mathematics Competitions
2005 AMC 12 B Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 11 50.0 25.0
74.5 19 14 49.5 2 24.5 1
74.0 3 6 49.0 3 24.0 1
73.5 11 17 48.5 1 23.5
73.0 12 8 48.0 8 2 23.0
72.5 11 11 47.5 22.5
72.0 13 11 47.0 3 22.0
71.5 7 10 46.5 21.5
71.0 25 14 46.0 3 21.0
70.5 4 7 45.5 20.5
70.0 9 13 45.0 2 20.0
69.5 6 8 44.5 1 19.5
69.0 5 5 44.0 1 19.0
68.5 9 13 43.5 18.5
68.0 6 6 43.0 18.0 1
67.5 7 15 42.5 17.5
67.0 2 7 42.0 2 1 17.0
66.5 8 41.5 1 16.5
66.0 13 8 41.0 16.0
65.5 1 9 40.5 2 15.5
65.0 5 9 40.0 2 15.0
64.5 6 5 39.5 14.5
64.0 5 2 39.0 1 14.0
63.5 6 3 38.5 1 13.5
63.0 3 4 38.0 13.0
62.5 4 4 37.5 12.5
62.0 3 3 37.0 12.0
61.5 2 3 36.5 11.5
61.0 2 8 36.0 2 3 11.0
60.5 2 5 35.5 1 10.5
60.0 5 4 35.0 10.0
59.5 7 34.5 9.5
59.0 3 4 34.0 9.0
58.5 2 1 33.5 8.5
58.0 4 1 33.0 8.0
57.5 1 4 32.5 7.5
57.0 6 2 32.0 7.0
56.5 2 31.5 6.5
56.0 2 1 31.0 6.0
55.5 1 3 30.5 5.5
55.0 1 2 30.0 1 5.0
54.5 3 4 29.5 4.5
54.0 10 2 29.0 1 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 2 27.5 2.5
52.0 2 2 27.0 2.0
51.5 2 26.5 1.5
51.0 1 2 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1 1
140.5 1
139.5 1
138.0 1
137.0 1
136.0 1
132.5 1 1
132.0 1
131.0 1
130.0 1
126.5 2
125.0 1
123.0 1
122.0 1 1
120.5 1
119.5 1 2 2
118.5 1 3 2
118.0 2 1
117.0 1 2
116.0 1 3 5
115.0 1 2
113.5 1 2 2
112.5 2 3 2
111.5 2 3 6
111.0 4 1
110.0 1 5 4
109.0 2 6 5
108.5 1
108.0 4 6 15
107.5 1 3 1
106.5 5 3
106.0 1
105.5 1 8 9 10
105.0 2 2
104.5 2 3 13 10
104.0 3 5 1
103.0 1 5 9 3
102.5 1
102.0 4 20 15
101.5 1 1 2 2
101.0 1 8 9 10
100.5 1 8 6
100.0 1
99.5 2 15 10
99.0 2 2
98.5 1 2 9 20 29
98.0 12 6
97.5 2 8 10 1
97.0 2 3 12 11
96.0 1 3 27 22 1
95.5 3 5
95.0 11 33 27 3
94.5 1 7 2
94.0 7 4 1
93.5 1 5 25 11
93.0 1
92.5 1 6 26 30 1
92.0 1 6 5
91.5 1 1 23 17
91.0 2 10 4
90.5 1 2 5 6
90.0 3 30 25
89.5 2 2
89.0 5 14 42 30
88.5 1 1 9 11
88.0 1 2 11 11 1
87.5 3 10 10 1
87.0 1 4 4 1
86.5 3 23 28
86.0 1 7 5 1
85.5 2 3 2 24 22 1
85.0 8 12
84.5 3 13 12
84.0 5 24 17
83.5 1 1 1 6 8
83.0 1 9 38 21
82.5 2 9 3
82.0 1 1 3 15 19 1
81.5 1 21 9
81.0 3 4 13 11
80.5 1 3 35 21 1
80.0 4 9
79.5 1 3 21 20
79.0 1 8 7
78.5 1 2 16 12 1
78.0 3 22 12 1
77.5 1 2 9 4
77.0 1 2 23 24 1
76.5 2 6 8
76.0 1 1 2 19 18 2
75.5 3 10 5 1
75.0 1 1 11 8
74.5 1 3 19 11
74.0 1 4 4
73.5 1 22 6
73.0 2 9 10
72.5 1 3 7 11
72.0 1 15 8
71.5 2 3 9 4
71.0 1 4 25 10
70.5 2 3 6
70.0 1 10 11
69.5 1 2 4 7 1
69.0 1 1 5 4
68.5 2 12 8
68.0 1 6 6 1
67.5 16 7 1
67.0 1 3 5 1
66.5 1 3 4
66.0 1 11 9
65.5 1 4 6
65.0 9 5
64.5 2 3 6
64.0 5 2
63.5 1 6 3
63.0 2 5 1
62.5 2 5 2
62.0 1 5
61.5 1 2 2
61.0 6 5
60.5 1 5 1
60.0 4 6
59.5 5 2
59.0 2 5
58.5 1 1 1
58.0 3 2
57.5 3 3
57.0 3 5
56.5 1 1
56.0 4
55.5 3 1
55.0 4
54.5 2 1 3 1
54.0 9 4
53.5 1
52.5 1 1
52.0 1 2 1
51.5 1 1
51.0 1 1 1
50.5 2 1
49.5 1 1
49.0 2 1
48.5 1
48.0 7 3
47.0 1 2
46.0 1 2
45.0 2
44.5 1
44.0 1
42.0 2 1 1
41.5 1
40.5 1 1
40.0 2
39.0 1
38.5 1
36.0 1 2 4
35.5 1
30.0 1 1
29.0 1
24.5 1
24.0 1
18.0 1
American Mathematics Competitions
2005 AMC 12 B Results for 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 9.32* 0.16 0.23 0.09 0.13 0.06 0.00
2 0.07 0.08 0.07 9.35* 0.12 0.31 0.00
3 0.06 0.03 9.29* 0.12 0.23 0.27 0.00
4 0.11 9.02* 0.17 0.18 0.15 0.38 0.00
5 7.95* 0.06 0.56 0.02 0.02 1.40 0.00
6 2.81* 0.71 0.58 0.25 0.19 5.47 0.00
7 0.94 1.65 0.22 2.32* 0.39 4.47 0.00
8 1.06 1.73 4.89* 0.04 0.86 1.43 0.00
9 0.36 8.04* 0.26 0.23 0.19 0.91 0.00
10 0.18 0.52 0.13 1.81 3.57* 3.78 0.00
11 1.19 0.84 0.65 4.44* 0.46 2.42 0.00
12 0.28 0.60 0.71 0.91* 0.07 7.43 0.00
13 0.33 0.23 0.23 1.97* 0.14 7.10 0.00
14 0.76 0.91 0.63 0.36 1.18* 6.17 0.00
15 0.56 0.30 0.25 4.72* 0.41 3.75 0.01
16 0.20 0.20 0.86 0.56* 0.23 7.96 0.00
17 0.31 0.51* 0.20 0.14 0.65 8.19 0.00
18 1.38 0.45 0.44* 0.29 0.27 7.17 0.00
19 0.19 0.17 0.16 0.22 2.08* 7.18 0.00
20 0.09 0.29 4.28* 0.59 1.84 2.90 0.00
21 0.15 0.19 0.36* 0.24 0.15 8.91 0.00
22 0.32 0.59 0.13 0.11 0.10* 8.75 0.00
23 0.04 0.17* 0.14 0.13 0.05 9.46 0.00
24 0.20* 0.23 0.24 0.18 0.18 8.97 0.00
25 0.18* 0.21 0.21 0.17 0.17 9.05 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
