American Mathematics Competitions
2006 AMC 10 A Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1222
Number of unofficial participants: 0
Average score of participants: 80.3
Average score for female students is: 78.8 ( 551 Students)
Average score for male students is: 82.4 ( 574 Students)
Average score for unspecified gender is 76.5 ( 97 Students)
Average score for grade 10 is: 79.8 ( 598 Students)
Average score for grade 9 is: 79.0 ( 482 Students)
Average score for grade 8 and below is: 93.6 ( 105 Students)
Average score with unknown grade: 68.4 ( 37 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 38
Number of schools returning results 36
Average school winning score 104.71
American Mathematics Competitions
2006 AMC 12 A Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2212
Number of unofficial participants: 0
Average score of participants: 85.8
Average score for female students is: 81.8 ( 877 Students)
Average score for male students is: 88.9 ( 1247 Students)
Average score for unspecified gender is 81.2 ( 88 Students)
Average score for grade 13 is: 88.0 ( 3 Students)
Average score for grade 12 is: 87.1 ( 744 Students)
Average score for grade 11 is: 84.5 ( 1065 Students)
Average score for grade 10 is: 88.4 ( 249 Students)
Average score for grade 9 is: 86.1 ( 110 Students)
Average score for grade 8 and below is: 69.6 ( 14 Students)
Average score with unknown grade: 81.9 ( 27 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 518
Number of schools returning results 49
Average school winning score 108.52
Average school team score 304.51
American Mathematics Competitions
2006 AMC 10 B Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1478
Number of unofficial participants: 0
Average score of participants: 62.6
Average score for female students is: 59.4 ( 686 Students)
Average score for male students is: 66.3 ( 661 Students)
Average score for unspecified gender is 60.6 ( 131 Students)
Average score for grade 10 is: 63.4 ( 808 Students)
Average score for grade 9 is: 61.0 ( 574 Students)
Average score for grade 8 and below is: 79.2 ( 45 Students)
Average score with unknown grade: 51.8 ( 51 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 40
Average school winning score 95.76
American Mathematics Competitions
2006 AMC 12 B Results for Virginia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2125
Number of unofficial participants: 0
Average score of participants: 81.3
Average score for female students is: 75.7 ( 920 Students)
Average score for male students is: 86.0 ( 1085 Students)
Average score for unspecified gender is 82.2 ( 120 Students)
Average score for grade 13 is: 61.3 ( 2 Students)
Average score for grade 12 is: 82.7 ( 843 Students)
Average score for grade 11 is: 78.5 ( 1051 Students)
Average score for grade 10 is: 89.6 ( 132 Students)
Average score for grade 9 is: 96.6 ( 49 Students)
Average score for grade 8 and below is: 109.7 ( 11 Students)
Average score with unknown grade: 74.8 ( 37 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 322
Number of schools returning results 58
Average school winning score 108.91
Average school team score 304.39
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
444.0 1 1
414.5 1 2
389.0 1 3
372.0 1 4
368.0 1 5
363.5 1 6
362.0 1 7
361.0 1 8
359.0 1 9
357.5 1 10
356.5 1 11
354.5 1 12
350.5 1 13
349.5 1 1 14
347.0 1 16
344.5 1 17
340.0 1 18
336.5 1 19
335.0 1 20
334.0 1 21
333.0 1 22
332.5 2 23
332.0 1 25
331.5 1 26
330.5 1 27
329.5 1 1 28
329.0 1 30
328.5 1 31
328.0 1 32
326.0 1 33
324.5 1 1 34
320.5 1 36
319.0 2 37
318.5 2 39
318.0 1 41
315.5 1 1 42
315.0 1 44
314.0 1 1 45
313.0 1 47
312.0 2 48
311.5 2 1 50
311.0 1 53
310.5 1 54
310.0 1 55
309.5 1 1 56
309.0 2 58
306.5 2 60
303.5 1 62
302.5 1 63
301.5 1 1 64
301.0 1 1 66
299.5 1 68
299.0 1 69
297.0 1 1 70
296.0 1 72
293.0 1 73
290.5 1 1 74
288.5 2 76
283.5 1 2 78
283.0 1 1 81
282.5 1 83
282.0 1 84
279.0 1 85
278.5 1 86
275.5 1 87
274.0 1 88
273.0 1 89
269.5 1 90
269.0 1 91
265.0 1 92
256.5 1 93
255.5 2 94
246.5 1 96
246.0 1 97
244.5 1 98
242.5 1 1 99
240.5 1 101
239.0 1 102
214.5 1 103
211.0 1 104
206.0 1 105
140.5 1 106
79.5 1 107
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2 1
146.5 1
144.0 1 1 2
143.0 1 1
140.5 2
139.5 1 2
138.0 1
136.0 2 1
134.5 1
133.5 2 2
132.5 2 2 1
132.0 1 2
131.0 2
130.0 1 4
129.0 2 1
127.5 2 1
126.5 3 4 2
126.0 1
125.5 8 2 3
125.0 1 1
124.0 1 3 1
123.0 5 9 4 1
122.5 2
122.0 6 3 3
120.5 1 4 1
120.0 1
119.5 15 2 2
119.0 2
118.5 27 7 1
118.0 2 3 1
117.0 8 4 2
116.0 14 9 2
115.5 1
115.0 18 8 1
114.5 2 5 3 1
113.5 5 5 11 1
112.5 44 12 3 1
112.0 1 2
111.5 12 17
111.0 4 1 6
110.0 27 7 6
109.0 38 17 1 2
108.5 2 2 3 2
108.0 10 16 3
107.5 14 2 7 3
106.5 41 11 5
106.0 1 5 2
105.5 32 17 1 2
105.0 2 6 4
104.5 8 17 1
104.0 24 4 7 2
103.5 1
103.0 36 22 8 2
102.5 5 1 4 1
102.0 30 42 3 2
101.5 20 5 11 2
101.0 10 35 1
100.5 34 11 9 6
100.0 1 1 2
99.5 32 24 7 4
99.0 5 1 9 1
98.5 20 49 6 7
98.0 35 4 22 3
97.5 4 8 6 2
97.0 41 12 13 6
96.5 2 1 7 3
96.0 23 41 7 1
95.5 15 7 2
95.0 33 56 7 2
94.5 28 8 12 1
94.0 5 13 5 2
93.5 26 25 18 6
93.0 11 2 8 5
92.5 31 49 8 3
92.0 17 12 12 7
91.5 5 23 11 1
91.0 37 25 15 9
90.5 10 7 4 1
90.0 46 41 17 7
89.5 20 2 13 2
89.0 36 64 10 2
88.5 24 5 8 5
88.0 7 29 7 3
87.5 35 26 10 11
87.0 8 7 13 4
86.5 31 42 10 11
86.0 13 4 13 5
85.5 19 36 5 7
85.0 39 22 13 7
84.5 8 18 10 5
84.0 36 29 20 16
83.5 10 5 15 4
83.0 38 55 19 7
82.5 22 14 21 7
82.0 10 30 11 7
81.5 27 19 23 16
81.0 16 8 15 4
80.5 33 34 13 9
80.0 12 9 18 16
79.5 14 31 12 12
79.0 24 11 9 15
78.5 17 25 10 8
78.0 33 30 17 17
77.5 10 8 14 6
77.0 38 42 11 7
76.5 26 12 12 13
76.0 11 27 17 8
75.5 28 18 10 10
75.0 16 25 11 1
74.5 20 29 17 11
74.0 7 17 26 12
73.5 17 20 14 12
73.0 19 16 10 5
72.5 12 17 14 8
72.0 25 22 20 18
71.5 13 14 9 11
71.0 22 25 12 18
70.5 13 8 12 17
70.0 16 21 11 21
69.5 21 18 5 11
69.0 13 15 9 16
68.5 20 18 11 15
68.0 17 9 11 11
67.5 15 16 10 11
67.0 16 12 11 9
66.5 13 20 8 11
66.0 21 17 13 16
65.5 8 12 8 15
65.0 23 12 9 25
64.5 17 8 10 11
64.0 16 13 12 18
63.5 12 15 6 12
63.0 5 8 10 10
62.5 17 12 10 17
62.0 4 7 3 19
61.5 8 13 9 21
61.0 6 11 9 18
60.5 4 9 6 22
60.0 15 23 13 14
59.5 4 7 6 10
59.0 11 12 3 20
58.5 10 8 8 16
58.0 11 11 5 15
57.5 11 11 2 17
57.0 4 8 4 9
56.5 3 10 4 28
56.0 4 7 6 18
55.5 11 2 2 19
55.0 5 6 4 12
54.5 6 10 8 14
54.0 9 10 8 24
53.5 5 4 5 13
53.0 5 4 7 21
52.5 3 4 4 18
52.0 5 1 5 17
51.5 1 6 3 15
51.0 2 6 6 14
50.5 3 18
50.0 3 4 12
49.5 3 3 1 16
49.0 4 6 2 16
48.5 4 5 17
48.0 10 11 5 16
47.5 1 2 2 12
47.0 1 1 3 7
46.5 1 1 4 9
46.0 2 1 11
45.5 1 3 1 9
45.0 1 2 7
44.5 2 2 1 14
44.0 1 4 9
43.5 2 4 3 5
43.0 1 1 5
42.5 5 5 8
42.0 9 10 4 11
41.5 1 3 15
41.0 3 1 5
40.5 1 1 2 6
40.0 2 1 3
39.5 2 7
39.0 1 9
38.5 1 2 5
38.0 1 5
37.5 1 1
37.0 4 6
36.5 1 2 1
36.0 3 9 5 15
35.5 1 2 7
35.0 1 4
34.5 3
34.0 1 2 3
33.5 6
33.0 2
32.5 2 1 2 7
32.0 2 3
31.5 1 2
31.0 2 1 2
30.5 1 5
30.0 3 7 1 9
29.0 1
28.5 1
28.0 3
27.5 1
27.0 1 2
26.5 2 1
26.0 2
25.5 4
25.0 2
24.5 2
24.0 6 1 15
23.5 1 1
23.0 1
22.0 2
21.0 1
20.5 1
20.0 1
19.5 1 1
18.5 1 1
18.0 1 4 1 5
17.5 1
17.0 1
12.0 2 2 4
American Mathematics Competitions
2006 AMC 10 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 1 100.0 1
149.5 124.5 99.5 4 3
149.0 124.0 1 99.0 4 5
148.5 123.5 98.5 6
148.0 123.0 3 1 98.0 11 7
147.5 122.5 2 97.5 4 2
147.0 122.0 3 97.0 5 7
146.5 121.5 96.5 3 4
146.0 121.0 96.0 3 4
145.5 120.5 1 95.5 1 5
145.0 120.0 1 95.0 4 3
144.5 119.5 94.5 5 4
144.0 1 119.0 2 94.0 2 1
143.5 118.5 1 93.5 10 7
143.0 1 118.0 2 1 93.0 7 1
142.5 117.5 92.5 8
142.0 117.0 2 92.0 5 7
141.5 116.5 91.5 5 4
141.0 116.0 1 1 91.0 8 7
140.5 115.5 90.5 2 2
140.0 115.0 1 90.0 9 7
139.5 114.5 2 1 89.5 6 6
139.0 114.0 89.0 7 3
138.5 113.5 7 4 88.5 4 4
138.0 1 113.0 88.0 5 2
137.5 112.5 1 2 87.5 7 3
137.0 112.0 1 1 87.0 5 7
136.5 111.5 86.5 4 5
136.0 111.0 2 3 86.0 7 6
135.5 110.5 85.5 2 3
135.0 110.0 3 3 85.0 7 5
134.5 109.5 84.5 5 4
134.0 109.0 1 84.0 12 6
133.5 1 1 108.5 2 1 83.5 8 6
133.0 108.0 3 83.0 9 9
132.5 1 107.5 4 2 82.5 13 7
132.0 1 1 107.0 82.0 3 7
131.5 106.5 3 2 81.5 11 10
131.0 2 106.0 2 2 81.0 5 9
130.5 105.5 1 80.5 3 10
130.0 2 2 105.0 3 2 80.0 12 4
129.5 104.5 79.5 5 6
129.0 1 104.0 5 2 79.0 2 5
128.5 103.5 1 78.5 4 5
128.0 103.0 5 2 78.0 7 6
127.5 102.5 1 2 77.5 9 5
127.0 102.0 2 1 77.0 5 6
126.5 2 1 101.5 7 4 76.5 4 7
126.0 101.0 76.0 8 8
125.5 1 1 100.5 3 6 75.5 4 6
American Mathematics Competitions
2006 AMC 10 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 4 50.0 25.0
74.5 5 11 49.5 24.5
74.0 14 11 49.0 2 24.0 1
73.5 2 10 48.5 1 3 23.5
73.0 4 6 48.0 4 23.0
72.5 3 10 47.5 2 22.5
72.0 11 9 47.0 1 1 22.0
71.5 4 5 46.5 4 21.5
71.0 7 5 46.0 1 21.0
70.5 5 6 45.5 1 20.5 1
70.0 5 4 45.0 1 1 20.0
69.5 2 3 44.5 1 19.5
69.0 2 7 44.0 19.0
68.5 7 3 43.5 1 2 18.5
68.0 5 5 43.0 18.0 1
67.5 2 7 42.5 2 2 17.5
67.0 6 4 42.0 1 3 17.0
66.5 4 4 41.5 16.5
66.0 3 7 41.0 16.0
65.5 6 1 40.5 1 1 15.5
65.0 2 7 40.0 1 15.0
64.5 3 6 39.5 14.5
64.0 5 6 39.0 14.0
63.5 4 38.5 13.5
63.0 1 8 38.0 13.0
62.5 5 4 37.5 1 12.5
62.0 2 1 37.0 12.0 2
61.5 5 3 36.5 11.5
61.0 4 3 36.0 4 11.0
60.5 2 3 35.5 10.5
60.0 7 3 35.0 10.0
59.5 2 4 34.5 9.5
59.0 1 1 34.0 9.0
58.5 6 2 33.5 8.5
58.0 1 4 33.0 8.0
57.5 1 1 32.5 1 7.5
57.0 2 2 32.0 7.0
56.5 3 31.5 6.5
56.0 1 5 31.0 6.0
55.5 1 1 30.5 5.5
55.0 2 2 30.0 5.0
54.5 6 2 29.5 4.5
54.0 7 1 29.0 4.0
53.5 3 2 28.5 3.5
53.0 5 1 28.0 3.0
52.5 2 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 2 1 26.5 1.5
51.0 2 3 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 2
143.0 1
138.0 1
133.5 2
132.5 1
132.0 1 1
131.0 1 1
130.0 1 1 2
129.0 1
126.5 3 1
126.0 1
125.5 2 1
125.0 1
124.0 1
123.0 2 2
122.5 1 1
122.0 3
120.5 1
120.0 1
119.0 1 1
118.5 1
118.0 1 2
117.0 1 1
116.0 1 1
115.0 1
114.5 2 1
113.5 2 4 5
112.5 1 1 1
112.0 2
111.0 1 1 2 2
110.0 1 3 2
109.0 1
108.5 1 2
108.0 1 1 1
107.5 2 1 4
106.5 1 4
106.0 2 2 1
105.5 1
105.0 3 3
104.0 1 6
103.5 1
103.0 2 3 3
102.5 2 2
102.0 1 2
101.5 2 2 7
100.5 1 3 5
100.0 1
99.5 3 4
99.0 1 3 5
98.5 4 2
98.0 3 12 7
97.5 2 4
97.0 1 1 4 7
96.5 1 4 2
96.0 3 3 1
95.5 2 5
95.0 1 3 3
94.5 1 1 5 4 1
94.0 2 1 1 1
93.5 4 7 6 1
93.0 2 2 4
92.5 4 4
92.0 2 2 8
91.5 1 1 3 6
91.0 2 7 5 1
90.5 1 3
90.0 1 6 9 1
89.5 1 7 4 1
89.0 5 5
88.5 3 5
88.0 4 3
87.5 1 3 6
87.0 1 4 5 3
86.5 7 3
86.0 2 6 5
85.5 1 4
85.0 1 6 6
84.5 1 1 3 5
84.0 5 7 7 1
83.5 6 9
83.0 3 5 11
82.5 1 1 9 10
82.0 5 6
81.5 14 8 1
81.0 1 8 5 1
80.5 1 12
80.0 2 8 7 1
79.5 7 5
79.0 4 5
78.5 6 4
78.0 7 7 3
77.5 1 7 6
77.0 6 5
76.5 1 4 7
76.0 4 7 6
75.5 3 7
75.0 7 4
74.5 1 5 10 1
74.0 12 14
73.5 4 9 1
73.0 1 3 6
72.5 1 3 10
72.0 5 15
71.5 7 2
71.0 1 3 8
70.5 5 6 1
70.0 1 6 3 1
69.5 2 3
69.0 3 6
68.5 2 8 1
68.0 1 4 6
67.5 2 8
67.0 1 7 3
66.5 1 1 1 5
66.0 8 3 2
65.5 6 2
65.0 1 8
64.5 4 6
64.0 1 5 6
63.5 1 5
63.0 4 5 1
62.5 3 6 1
62.0 3
61.5 5 4
61.0 5 4
60.5 1 3 2
60.0 5 5 3
59.5 2 4
59.0 1 1 1
58.5 5 3
58.0 2 3
57.5 1 1
57.0 2 2
56.5 1 2 1
56.0 1 3 2
55.5 1 1
55.0 2 2
54.5 2 6
54.0 2 6
53.5 1 4
53.0 5 2
52.5 4
52.0 5
51.5 1 2
51.0 2 4
49.5 1
49.0 1 1
48.5 2 2 1
48.0 3 1 1
47.5 1 1
47.0 1 2
46.5 2 2
46.0 1
45.5 1
45.0 2
44.5 1
43.5 2 1
42.5 3 1 1
42.0 2 2
41.0 1
40.5 2
40.0 1
37.5 1
36.0 2 2 1
32.5 1 1
31.0 1
30.0 1
24.0 1
20.5 1
18.0 1
12.0 1 1
American Mathematics Competitions
2006 AMC 10 A Results for Virginia
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 9.90* 0.01 0.02 0.06 0.00 0.02 0.00
2 1.80 0.20 3.50* 0.14 1.64 2.72 0.00
3 0.08 8.75* 0.08 0.06 1.00 0.03 0.00
4 2.44 0.17 0.07 0.11 6.84* 0.37 0.00
5 0.20 0.97 0.86 7.45* 0.17 0.35 0.00
6 0.11 8.84* 0.30 0.05 0.05 0.65 0.00
7 7.67* 0.11 0.34 0.31 0.25 1.33 0.00
8 1.28 0.47 0.46 0.18 2.88* 4.71 0.01
9 1.46 1.39 5.88* 0.29 0.25 0.72 0.00
10 0.42 0.18 0.79 3.11 1.40* 4.09 0.01
11 2.23 1.29 1.63* 0.94 0.79 3.12 0.00
12 0.77 0.33 5.13* 1.12 0.28 2.36 0.01
13 0.32 1.01 0.29 5.56* 0.14 2.68 0.00
14 1.69 4.38* 0.20 1.20 0.60 1.93 0.00
15 1.00 0.46 0.38 1.48* 0.48 6.19 0.00
16 0.37 0.34 0.48 0.44* 0.68 7.69 0.00
17 2.33* 0.39 0.29 0.56 0.25 6.16 0.00
18 1.99 0.20 3.32* 0.38 0.23 3.87 0.00
19 0.49 1.82 0.98* 0.41 0.34 5.96 0.00
20 0.44 1.20 0.37 0.40 0.62* 6.96 0.00
21 0.73 0.67 0.53 0.55 0.96* 6.55 0.01
22 0.15 0.94 3.79* 3.16 0.75 1.21 0.00
23 0.53 1.86* 0.23 0.29 0.73 6.35 0.01
24 0.88 0.53* 0.38 0.26 0.42 7.54 0.00
25 2.38 0.78 0.64* 0.46 0.29 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
2006 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 1 100.0 1
149.5 124.5 99.5 22 8
149.0 124.0 1 99.0 4 1
148.5 123.5 98.5 14 6
148.0 123.0 5 98.0 19 15
147.5 122.5 97.5 3
147.0 122.0 4 2 97.0 29 12
146.5 121.5 96.5 2
146.0 121.0 96.0 12 8
145.5 120.5 95.5 7 8
145.0 120.0 95.0 27 5
144.5 119.5 15 94.5 16 12
144.0 1 119.0 94.0 3 2
143.5 118.5 19 6 93.5 17 9
143.0 118.0 93.0 10 1
142.5 117.5 92.5 15 15
142.0 117.0 8 92.0 7 10
141.5 116.5 91.5 3 2
141.0 116.0 11 2 91.0 22 14
140.5 1 1 115.5 90.5 8 1
140.0 115.0 9 9 90.0 29 13
139.5 1 114.5 2 89.5 9 11
139.0 114.0 89.0 25 11
138.5 113.5 5 88.5 14 10
138.0 113.0 88.0 3 4
137.5 112.5 27 16 87.5 16 17
137.0 112.0 87.0 5 2
136.5 111.5 8 3 86.5 12 16
136.0 2 111.0 3 1 86.0 7 6
135.5 110.5 85.5 7 12
135.0 110.0 21 6 85.0 26 13
134.5 109.5 84.5 4 4
134.0 109.0 26 11 84.0 24 12
133.5 108.5 2 83.5 6 2
133.0 108.0 5 5 83.0 19 17
132.5 1 1 107.5 9 4 82.5 9 13
132.0 107.0 82.0 2 7
131.5 106.5 31 9 81.5 12 15
131.0 106.0 1 81.0 10 4
130.5 105.5 20 10 80.5 16 15
130.0 105.0 1 1 80.0 6 6
129.5 104.5 3 4 79.5 9 4
129.0 104.0 13 11 79.0 10 13
128.5 103.5 78.5 8 7
128.0 103.0 25 10 78.0 21 12
127.5 1 1 102.5 5 77.5 5 4
127.0 102.0 20 10 77.0 23 15
126.5 101.5 14 4 76.5 10 14
126.0 101.0 9 1 76.0 1 9
125.5 7 1 100.5 25 9 75.5 17 10
American Mathematics Competitions
2006 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 9 50.0 3 25.0
74.5 12 7 49.5 2 24.5
74.0 4 3 49.0 1 2 24.0
73.5 8 9 48.5 23.5
73.0 7 8 48.0 8 2 23.0
72.5 5 7 47.5 1 22.5
72.0 11 14 47.0 1 22.0
71.5 5 6 46.5 1 21.5
71.0 12 9 46.0 21.0
70.5 8 4 45.5 1 20.5
70.0 6 9 45.0 1 20.0
69.5 9 11 44.5 1 1 19.5 1
69.0 5 7 44.0 1 19.0
68.5 9 10 43.5 1 1 18.5
68.0 8 8 43.0 1 18.0 1
67.5 11 3 42.5 17.5
67.0 6 10 42.0 5 2 17.0
66.5 4 9 41.5 1 16.5
66.0 9 11 41.0 16.0
65.5 4 4 40.5 1 15.5
65.0 8 15 40.0 1 1 15.0
64.5 9 7 39.5 14.5
64.0 4 11 39.0 14.0
63.5 6 6 38.5 1 13.5
63.0 4 1 38.0 13.0
62.5 8 5 37.5 12.5
62.0 3 37.0 12.0
61.5 3 5 36.5 1 11.5
61.0 3 3 36.0 2 1 11.0
60.5 2 2 35.5 1 10.5
60.0 7 8 35.0 10.0
59.5 2 1 34.5 9.5
59.0 5 6 34.0 1 9.0
58.5 5 5 33.5 8.5
58.0 4 6 33.0 8.0
57.5 7 4 32.5 2 7.5
57.0 1 3 32.0 7.0
56.5 2 31.5 1 6.5
56.0 2 2 31.0 6.0
55.5 4 6 30.5 5.5
55.0 3 2 30.0 2 5.0
54.5 3 3 29.5 4.5
54.0 6 3 29.0 4.0
53.5 1 4 28.5 3.5
53.0 3 2 28.0 3.0
52.5 3 27.5 2.5
52.0 1 4 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 1 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 2
144.0 1
140.5 2
139.5 1
136.0 2
132.5 2
127.5 2
125.5 1 1 3 3
125.0 1
124.0 1
123.0 1 3 1
122.0 1 1 4
120.5 1
119.5 2 1 4 8
118.5 3 9 15
117.0 3 5
116.0 1 2 5 6
115.0 3 5 5 5
114.5 1 1
113.5 2 3
112.5 1 6 22 14 1
111.5 2 3 5 2
111.0 1 2 1
110.0 1 6 14 6
109.0 2 2 18 16
108.5 1 1
108.0 1 2 3 3 1
107.5 1 5 7 1
106.5 1 10 14 15 1
106.0 1
105.5 2 6 12 12
105.0 1 1
104.5 1 1 2 4
104.0 1 5 4 14
103.0 1 3 21 11
102.5 4 1
102.0 2 2 14 11 1
101.5 2 2 8 7 1
101.0 5 5
100.5 1 6 18 9
100.0 1
99.5 1 7 11 11 2
99.0 4 1
98.5 2 9 9
98.0 3 19 13
97.5 2 2
97.0 1 4 21 13 1 1
96.5 2
96.0 1 3 11 8
95.5 14 1
95.0 2 3 12 16
94.5 2 20 6
94.0 3 2
93.5 2 4 11 9
93.0 1 8 2
92.5 3 19 9
92.0 1 9 7
91.5 1 2 2
91.0 2 1 22 12
90.5 4 3 3
90.0 1 2 5 16 22
89.5 6 7 7
89.0 3 4 18 11
88.5 1 1 14 8
88.0 2 2 3
87.5 3 3 17 12
87.0 1 1 4 1 1
86.5 1 4 20 6
86.0 1 2 10
85.5 4 3 6 6
85.0 1 2 19 16 1
84.5 2 2 4
84.0 1 3 17 15
83.5 1 4 3 2
83.0 1 5 7 16 8 1
82.5 2 12 8
82.0 3 5 1 1
81.5 2 1 13 11
81.0 1 3 7 5
80.5 1 3 4 14 11
80.0 1 7 3 1
79.5 1 6 6 1
79.0 1 3 11 9
78.5 1 10 5 1
78.0 1 4 16 12
77.5 2 4 4
77.0 3 3 18 14
76.5 2 16 8
76.0 1 2 5 2 1
75.5 2 3 11 12
75.0 1 2 2 11
74.5 3 15 2
74.0 3 3 1
73.5 2 1 11 3
73.0 1 1 11 6
72.5 1 2 6 3
72.0 1 1 12 10 1
71.5 1 5 7
71.0 1 3 11 6 1
70.5 8 5
70.0 1 8 7
69.5 1 3 14 3
69.0 5 4 4
68.5 2 1 6 11
68.0 1 1 3 7 4 1
67.5 4 9 2
67.0 1 2 6 7
66.5 1 7 5
66.0 1 2 13 5
65.5 1 3 4
65.0 1 1 4 10 6 1
64.5 1 9 7
64.0 4 6 6
63.5 1 8 3
63.0 1 2 2
62.5 1 1 10 3 2
62.0 1 3
61.5 6 2
61.0 1 3 1 1
60.5 1 3
60.0 1 1 2 5 6
59.5 1 1 2
59.0 9 2
58.5 1 5 4
58.0 2 7 2
57.5 1 2 4 4
57.0 2 2
56.5 1 2
56.0 3 1
55.5 1 2 6 2
55.0 1 4
54.5 2 4
54.0 1 4 4
53.5 4 1
53.0 2 3
52.5 1 1 1
52.0 4 1
51.5 1
51.0 2
50.5 2 1
50.0 1 1 1
49.5 1 2
49.0 1 1 2
48.0 1 2 6 1
47.5 1
47.0 1
46.5 1
45.5 1
45.0 1
44.5 1 1
44.0 1
43.5 2
43.0 1
42.0 5 4
41.5 1
40.5 1
40.0 2
38.5 1
36.5 1
36.0 1 1 1
35.5 1
34.0 1
32.5 1 1
31.5 1
30.0 2 1
19.5 1
18.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Virginia
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 9.95* 0.00 0.01 0.03 0.00 0.01 0.00
2 1.42 0.17 4.99* 0.08 0.89 2.45 0.00
3 0.05 8.90* 0.04 0.05 0.92 0.05 0.00
4 1.88 0.09 0.03 0.05 7.58* 0.37 0.00
5 0.10 0.73 0.75 7.97* 0.15 0.29 0.00
6 7.54* 0.14 0.35 0.24 0.29 1.44 0.00
7 0.63 5.35* 0.85 0.55 0.42 2.19 0.00
8 0.97 1.15 6.86* 0.24 0.10 0.68 0.00
9 8.44* 0.17 0.05 0.04 0.25 1.05 0.00
10 0.26 0.14 0.63 3.26 2.28* 3.42 0.00
11 1.67 0.81 2.59* 1.09 0.57 3.25 0.00
12 1.36 5.47* 0.18 0.71 0.39 1.89 0.00
13 0.42 0.11 0.21 0.16 5.70* 3.40 0.00
14 0.05 0.48 5.25* 2.45 0.40 1.37 0.00
15 3.69* 1.67 0.29 0.43 1.42 2.50 0.00
16 0.42 3.77* 0.18 0.30 0.63 4.70 0.00
17 0.29 0.62* 0.50 0.38 0.12 8.08 0.00
18 1.52 0.09 0.38 0.64 0.51* 6.86 0.00
19 0.11 0.12 0.20 0.16 0.30* 9.10 0.00
20 1.60 0.68 0.58* 0.25 0.16 6.72 0.00
21 0.09 0.18 0.26 0.14 0.24* 9.10 0.00
22 0.14 0.15 0.19 0.17* 0.08 9.27 0.00
23 0.14 0.15* 0.17 0.11 0.24 9.18 0.00
24 1.14 0.19 0.21 0.37* 0.14 7.95 0.00
25 0.10 0.17 0.22 0.18 0.18* 9.15 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
2006 AMC 10 B Results for Virginia
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 3 1
149.0 124.0 99.0
148.5 123.5 98.5 2 3
148.0 123.0 1 98.0 1 1
147.5 122.5 97.5 2
147.0 122.0 97.0 3 2
146.5 1 121.5 96.5 2
146.0 121.0 96.0 1
145.5 120.5 95.5 1 1
145.0 120.0 95.0 1 1
144.5 119.5 2 94.5 1
144.0 119.0 94.0 1 1
143.5 118.5 93.5 5 1
143.0 118.0 1 93.0 4 1
142.5 117.5 92.5 2 1
142.0 117.0 92.0 5 2
141.5 116.5 91.5 1
141.0 116.0 91.0 6 3
140.5 115.5 90.5 1
140.0 115.0 90.0 6 1
139.5 114.5 1 89.5 2
139.0 114.0 89.0 1 1
138.5 113.5 88.5 3 2
138.0 113.0 88.0 3
137.5 112.5 1 87.5 3 7
137.0 112.0 87.0 2 2
136.5 111.5 86.5 7 4
136.0 111.0 86.0 5
135.5 110.5 85.5 3 3
135.0 110.0 85.0 3 3
134.5 109.5 84.5 4 1
134.0 109.0 1 1 84.0 9 6
133.5 108.5 1 83.5 2 2
133.0 108.0 83.0 5 2
132.5 107.5 2 82.5 3 4
132.0 107.0 82.0 6
131.5 106.5 81.5 13 2
131.0 106.0 2 81.0 3 1
130.5 105.5 1 1 80.5 7 2
130.0 105.0 3 1 80.0 11 3
129.5 104.5 1 79.5 6 4
129.0 104.0 2 79.0 11 3
128.5 103.5 78.5 5 3
128.0 103.0 2 78.0 10 5
127.5 102.5 1 77.5 4 2
127.0 102.0 2 77.0 3 3
126.5 1 101.5 2 76.5 8 3
126.0 101.0 1 76.0 1 6
125.5 100.5 5 1 75.5 6 4
American Mathematics Competitions
2006 AMC 10 B Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 3 7 25.0 1
74.5 6 5 49.5 4 11 24.5 1 1
74.0 5 4 49.0 7 9 24.0 4 9
73.5 3 7 48.5 7 9 23.5 1
73.0 2 3 48.0 8 7 23.0 1
72.5 5 3 47.5 4 7 22.5
72.0 7 11 47.0 2 4 22.0 1
71.5 6 5 46.5 5 4 21.5
71.0 7 11 46.0 5 5 21.0
70.5 7 9 45.5 1 6 20.5
70.0 8 11 45.0 4 3 20.0 1
69.5 5 6 44.5 6 4 19.5 1
69.0 7 9 44.0 3 4 19.0
68.5 6 9 43.5 2 3 18.5 1
68.0 6 5 43.0 2 3 18.0 2 3
67.5 7 2 42.5 1 7 17.5 1
67.0 6 2 42.0 4 3 17.0 1
66.5 5 6 41.5 8 6 16.5
66.0 4 12 41.0 1 3 16.0
65.5 4 10 40.5 1 5 15.5
65.0 11 12 40.0 2 1 15.0
64.5 6 5 39.5 2 4 14.5
64.0 6 9 39.0 3 5 14.0
63.5 5 5 38.5 1 4 13.5
63.0 3 6 38.0 2 3 13.0
62.5 10 6 37.5 1 12.5
62.0 8 9 37.0 2 4 12.0 3
61.5 10 7 36.5 1 11.5
61.0 6 10 36.0 7 7 11.0
60.5 10 10 35.5 2 5 10.5
60.0 7 7 35.0 1 2 10.0
59.5 6 3 34.5 2 9.5
59.0 10 8 34.0 2 1 9.0
58.5 8 8 33.5 2 4 8.5
58.0 6 8 33.0 2 8.0
57.5 5 11 32.5 1 5 7.5
57.0 4 5 32.0 1 2 7.0
56.5 13 12 31.5 6.5
56.0 6 11 31.0 2 6.0
55.5 6 10 30.5 5 5.5
55.0 4 5 30.0 2 7 5.0
54.5 4 10 29.5 4.5
54.0 11 9 29.0 1 4.0
53.5 2 8 28.5 3.5
53.0 7 11 28.0 2 1 3.0
52.5 7 11 27.5 2.5
52.0 8 5 27.0 1 2.0
51.5 5 6 26.5 1 1.5
51.0 9 2 26.0 2 1.0
50.5 7 9 25.5 2 2 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1
126.5 1 1
123.0 1
119.5 2
118.0 1
114.5 1
113.5 1
112.5 1
109.0 1 1
108.5 2
107.5 1 2
106.0 2
105.5 2
105.0 1 1 2
104.5 1
104.0 1 1
103.0 2
102.5 1
102.0 2
101.5 1 1
101.0 1
100.5 2 2 2
100.0 2
99.5 1 1 2
99.0 1
98.5 1 3 3
98.0 2 1
97.5 1 1
97.0 3 3
96.5 1 2
96.0 1
95.5 2
95.0 2
94.5 1
94.0 1 1
93.5 1 5
93.0 1 4
92.5 1 2
92.0 1 1 5
91.5 1
91.0 1 3 5
90.5 1
90.0 2 5
89.5 1 1
89.0 1 1
88.5 2 3
88.0 2 1
87.5 6 5
87.0 1 2 1
86.5 2 5 4
86.0 2 3
85.5 4 3
85.0 7
84.5 4 1
84.0 1 4 11
83.5 2 2
83.0 2 5
82.5 1 2 4
82.0 4 3
81.5 1 1 8 6
81.0 3 1
80.5 1 4 4
80.0 1 2 13
79.5 1 5 4 2
79.0 2 4 9
78.5 3 5
78.0 4 13
77.5 2 4
77.0 2 4 1
76.5 4 9
76.0 1 5 2
75.5 2 8
75.0 1
74.5 6 5
74.0 1 3 8
73.5 4 7 1
73.0 4 1
72.5 2 6
72.0 1 7 10
71.5 5 6
71.0 7 11
70.5 5 12
70.0 8 12 1
69.5 1 6 4
69.0 5 11
68.5 4 11
68.0 3 8
67.5 5 5 1
67.0 3 6
66.5 5 6
66.0 5 11
65.5 9 6
65.0 8 14 3
64.5 4 6 1
64.0 1 8 5 4
63.5 3 8 1
63.0 3 7
62.5 7 9 1
62.0 1 10 8
61.5 10 8 3
61.0 9 9
60.5 13 7 2
60.0 8 5 1
59.5 5 5
59.0 8 12
58.5 8 8
58.0 7 8
57.5 8 9
57.0 5 4
56.5 12 14 2
56.0 7 11
55.5 1 10 8
55.0 4 7 1
54.5 6 8
54.0 1 8 13 2
53.5 3 9 1
53.0 8 12 1
52.5 6 11 1
52.0 10 7
51.5 6 9
51.0 4 8 2
50.5 1 5 12
50.0 4 7 1
49.5 9 7
49.0 10 6
48.5 8 8 1
48.0 1 7 8
47.5 1 5 6
47.0 1 6
46.5 7 2
46.0 1 3 7
45.5 2 7
45.0 1 1 5
44.5 3 9 2
44.0 5 3 1
43.5 2 3
43.0 2 3
42.5 3 4 1
42.0 2 7 2
41.5 8 7
41.0 2 3
40.5 5 1
40.0 1 1 1
39.5 5 2
39.0 4 5
38.5 3 2
38.0 2 3
37.5 1
37.0 2 4
36.5 1
36.0 4 10 1
35.5 3 4
35.0 1 2 1
34.5 1 2
34.0 3
33.5 3 3
33.0 2
32.5 4 3
32.0 1 1 1
31.0 2
30.5 1 4
30.0 1 4 4
29.0 1
28.0 1 2
27.0 2
26.5 1
26.0 2
25.5 4
25.0 1 1
24.5 2
24.0 1 5 6 3
23.5 1
23.0 1
22.0 2
20.0 1
19.5 1
18.5 1
18.0 2 3
17.5 1
17.0 1
12.0 2 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Virginia
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 0.66 0.64 4.95* 2.20 0.73 0.82 0.00
2 4.91* 0.77 0.15 0.26 0.33 3.58 0.00
3 7.77* 0.26 0.05 1.33 0.33 0.25 0.00
4 2.08 2.54 0.43 1.99* 1.39 1.55 0.01
5 0.66 4.47* 2.05 0.49 0.24 2.09 0.01
6 0.54 0.23 4.24 2.25* 0.51 2.23 0.00
7 2.13* 1.37 1.22 1.22 0.97 3.08 0.01
8 1.49 0.74* 0.31 1.70 0.53 5.22 0.00
9 0.21 7.33* 0.16 0.11 1.21 0.98 0.00
10 2.49* 0.51 1.75 0.19 2.24 2.82 0.00
11 0.50 0.81 1.98* 0.58 0.32 5.82 0.00
12 0.39 0.41 0.28 0.51 4.01* 4.39 0.00
13 0.83 0.16 2.77 0.85 2.34* 3.04 0.01
14 0.28 0.25 0.41 0.64* 0.12 8.32 0.00
15 0.83 0.41 1.65* 0.37 0.33 6.41 0.00
16 2.67 0.52 2.12 0.81 1.53* 2.35 0.00
17 3.07 1.14 2.10 1.74* 0.20 1.74 0.00
18 0.78 0.45 1.06 0.51 0.65* 6.55 0.00
19 0.37* 0.59 0.29 0.33 0.33 8.09 0.00
20 0.47 0.41 0.42 0.62 0.49* 7.58 0.00
21 0.64 0.33 0.57* 2.10 0.83 5.54 0.00
22 0.37 0.69 2.13 0.79* 0.21 5.81 0.01
23 0.32 0.83 0.39 0.45* 0.27 7.73 0.00
24 0.23 0.81* 0.85 0.34 0.22 7.56 0.00
25 0.22 1.85* 0.29 1.82 0.49 5.33 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 12 B 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 15 5
149.0 124.0 3 99.0 1
148.5 123.5 98.5 26 20
148.0 123.0 5 3 98.0 4
147.5 122.5 97.5 5 3
147.0 122.0 3 97.0 5 7
146.5 121.5 96.5 1
146.0 121.0 96.0 27 11
145.5 120.5 4 95.5
145.0 120.0 95.0 35 17
144.5 119.5 2 94.5 6 2
144.0 1 119.0 94.0 8 5
143.5 118.5 5 1 93.5 20 5
143.0 1 118.0 2 93.0 2
142.5 117.5 92.5 27 21
142.0 117.0 3 92.0 4 6
141.5 116.5 91.5 16 6
141.0 116.0 7 2 91.0 14 11
140.5 115.5 1 90.5 4 2
140.0 115.0 6 1 90.0 26 14
139.5 2 114.5 4 1 89.5 2
139.0 114.0 89.0 33 28
138.5 113.5 3 2 88.5 4 1
138.0 113.0 88.0 15 12
137.5 112.5 12 87.5 13 11
137.0 112.0 1 87.0 4 3
136.5 111.5 11 5 86.5 22 17
136.0 1 111.0 1 86.0 2 2
135.5 110.5 85.5 22 13
135.0 110.0 7 85.0 12 10
134.5 1 109.5 84.5 7 9
134.0 109.0 12 5 84.0 13 13
133.5 2 108.5 2 83.5 3 2
133.0 108.0 11 5 83.0 30 21
132.5 1 1 107.5 1 1 82.5 9 4
132.0 1 107.0 82.0 14 15
131.5 106.5 7 2 81.5 10 8
131.0 106.0 81.0 3 5
130.5 105.5 11 5 80.5 13 20
130.0 1 105.0 80.0 2 7
129.5 104.5 15 2 79.5 15 15
129.0 2 104.0 3 79.0 4 4
128.5 103.5 78.5 8 14
128.0 103.0 11 9 78.0 20 9
127.5 1 102.5 1 77.5 4 4
127.0 102.0 28 13 77.0 16 21
126.5 2 101.5 4 76.5 2 9
126.0 101.0 23 9 76.0 8 14
125.5 1 100.5 6 3 75.5 6 11
American Mathematics Competitions
2006 AMC 12 B Results for Virginia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 16 50.0 4 25.0
74.5 16 11 49.5 1 2 24.5
74.0 8 8 49.0 1 5 24.0 2 4
73.5 8 11 48.5 1 3 23.5 1
73.0 9 7 48.0 4 6 23.0
72.5 2 13 47.5 1 1 22.5
72.0 11 11 47.0 1 22.0
71.5 9 5 46.5 1 21.5
71.0 11 13 46.0 2 21.0 1
70.5 2 6 45.5 1 2 20.5
70.0 11 9 45.0 20.0
69.5 11 7 44.5 1 19.5
69.0 5 10 44.0 2 2 19.0
68.5 9 8 43.5 4 18.5 1
68.0 2 6 43.0 1 18.0 1 2
67.5 10 6 42.5 5 17.5
67.0 7 4 42.0 2 7 17.0
66.5 11 9 41.5 3 16.5
66.0 4 10 41.0 3 16.0
65.5 8 4 40.5 1 15.5
65.0 4 8 40.0 15.0
64.5 3 4 39.5 1 14.5
64.0 5 6 39.0 1 14.0
63.5 7 7 38.5 1 1 13.5
63.0 3 5 38.0 1 13.0
62.5 5 7 37.5 12.5
62.0 3 4 37.0 1 3 12.0 2
61.5 5 8 36.5 2 11.5
61.0 4 6 36.0 3 6 11.0
60.5 2 4 35.5 2 10.5
60.0 11 11 35.0 1 10.0
59.5 3 4 34.5 9.5
59.0 5 7 34.0 1 1 9.0
58.5 3 4 33.5 8.5
58.0 3 7 33.0 8.0
57.5 4 6 32.5 1 7.5
57.0 4 3 32.0 1 1 7.0
56.5 3 7 31.5 1 1 6.5
56.0 2 5 31.0 2 6.0
55.5 2 30.5 1 5.5
55.0 1 5 30.0 1 6 5.0
54.5 4 6 29.5 4.5
54.0 5 5 29.0 4.0
53.5 2 2 28.5 1 3.5
53.0 2 2 28.0 3.0
52.5 1 2 27.5 1 2.5
52.0 1 27.0 2.0
51.5 2 4 26.5 2 1.5
51.0 1 5 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Virginia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
143.0 1
139.5 1 1
136.0 1
134.5 1
133.5 2
132.5 1 1
132.0 1
130.0 1
129.0 2
127.5 1
126.5 1 2
125.5 1 1
124.0 3
123.0 2 2 5
122.0 1 1 1
120.5 2 1 1
119.5 1 1
118.5 1 2 4
118.0 1 1
117.0 3 1
116.0 1 2 1 5
115.5 1
115.0 2 6
114.5 1 2 1 1
113.5 1 2 2
112.5 1 2 1 2 6
112.0 1
111.5 3 2 6 6
111.0 1
110.0 1 1 5
109.0 3 7 7
108.5 2
108.0 2 1 8 5
107.5 1 1
106.5 3 2 6
105.5 2 10 5
104.5 1 2 6 8
104.0 2 1 1
103.0 2 1 2 10 7
102.5 1
102.0 1 2 4 15 19 1
101.5 1 2 2
101.0 3 4 13 15
100.5 1 6 4
99.5 1 9 13 1
99.0 1
98.5 3 20 25 1
98.0 2 2
97.5 2 4 2
97.0 1 7 4
96.5 1
96.0 1 5 17 17 1
95.0 6 3 17 29 1
94.5 1 3 3 1
94.0 8 5
93.5 1 2 15 7
93.0 1 1
92.5 2 1 20 25 1
92.0 1 4 7
91.5 2 12 8 1
91.0 1 1 4 7 12
90.5 4 3
90.0 4 23 14
89.5 2
89.0 1 4 28 30 1
88.5 2 3
88.0 15 13 1
87.5 1 2 11 12
87.0 2 5
86.5 4 3 22 13
86.0 1 3
85.5 1 22 13
85.0 2 15 5
84.5 2 8 7 1
84.0 4 17 8
83.5 2 3
83.0 4 31 19 1
82.5 1 6 7
82.0 1 17 12
81.5 3 12 3 1
81.0 1 4 3
80.5 1 24 9
80.0 4 5
79.5 3 19 9
79.0 2 5 4
78.5 2 14 6 3
78.0 1 1 18 10
77.5 5 3
77.0 2 3 17 17 3
76.5 8 4
76.0 1 2 8 12 4
75.5 2 10 6
75.0 13 12
74.5 4 17 8
74.0 9 8
73.5 1 11 8
73.0 6 10
72.5 1 1 12 3
72.0 1 14 7
71.5 9 5
71.0 16 8 1
70.5 1 2 5
70.0 2 10 8 1
69.5 11 7
69.0 7 8
68.5 1 13 4
68.0 1 5 3
67.5 1 1 8 6
67.0 9 3
66.5 1 14 4 1
66.0 9 6 2
65.5 6 6
65.0 8 4
64.5 3 5
64.0 1 7 4 1
63.5 1 7 7
63.0 5 3
62.5 7 5
62.0 5 2
61.5 1 5 7
61.0 5 6
60.5 3 5 1
60.0 12 11
59.5 3 4
59.0 8 4
58.5 1 3 3 1
58.0 6 4 1
57.5 1 1 5 4
57.0 4 4
56.5 6 4
56.0 4 2 1
55.5 2
55.0 4 2
54.5 7 3
54.0 1 6 3
53.5 2 2
53.0 3 1
52.5 4
52.0 1
51.5 5 1
51.0 4 2
50.0 1 1 2
49.5 1 2
49.0 3 3
48.5 2 2
48.0 3 8
47.5 2
47.0 1
46.5 1
46.0 2
45.5 3
44.5 1 1
44.0 2 1 1
43.5 3 1
43.0 1
42.5 2 3
42.0 8 2
41.5 1 2
41.0 3
40.5 1
39.5 1 1
39.0 1
38.5 2
38.0 1
37.0 2 2
36.5 1 1
36.0 3 5 1
35.5 2
35.0 1
34.0 2
32.5 1
32.0 1 1
31.5 1 1
31.0 1 1
30.5 1
30.0 1 3 3
28.5 1
27.5 1
27.0 1
26.5 2
24.0 4 1 1
23.5 1
21.0 1
18.5 1
18.0 1 2 1
12.0 2
American Mathematics Competitions
2006 AMC 12 B Results for Virginia
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 0.36 0.36 7.57* 1.14 0.36 0.21 0.00
2 7.17* 0.58 0.08 0.12 0.32 1.72 0.00
3 8.14* 0.28 0.06 1.09 0.27 0.16 0.00
4 9.05* 0.32 0.13 0.29 0.04 0.16 0.00
5 6.45* 0.91 0.44 0.20 0.26 1.74 0.00
6 0.09 8.32* 0.11 0.14 0.79 0.55 0.00
7 0.57 8.01* 0.55 0.35 0.12 0.40 0.00
8 0.20 0.33 0.22 0.46 6.54* 2.25 0.00
9 0.53 4.05* 0.40 0.94 0.53 3.56 0.00
10 3.25* 0.57 1.25 0.19 2.30 2.44 0.00
11 0.79 0.20 1.65 0.78 4.14* 2.45 0.00
12 0.66 0.61 0.33 0.90* 0.66 6.83 0.00
13 0.72 0.54 2.57* 0.25 0.38 5.54 0.00
14 0.23 0.73 2.24 1.69* 0.13 4.97 0.00
15 0.28 1.75* 0.95 0.40 0.21 6.41 0.00
16 0.21 0.30 0.89* 0.20 0.21 8.19 0.00
17 0.63 0.32 1.17* 1.62 0.54 5.72 0.00
18 0.60 0.78* 1.14 0.37 0.25 6.86 0.00
19 0.19 2.15* 0.19 1.55 0.32 5.60 0.00
20 0.19 0.33 0.29* 0.18 0.64 8.36 0.00
21 0.24 0.18 0.24* 0.13 0.17 9.04 0.00
22 0.21 0.38* 0.26 0.14 0.08 8.94 0.00
23 0.25 0.32 0.43 0.33 0.17* 8.50 0.00
24 0.14 0.25 0.27* 0.26 0.12 8.96 0.00
25 0.13 0.30* 0.28 0.38 0.15 8.77 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column