American Mathematics Competitions
2006 AMC 10 A Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 350
Number of unofficial participants: 0
Average score of participants: 80.0
Average score for female students is: 76.9 ( 145 Students)
Average score for male students is: 83.0 ( 193 Students)
Average score for unspecified gender is 69.7 ( 12 Students)
Average score for grade 10 is: 79.9 ( 226 Students)
Average score for grade 9 is: 78.0 ( 112 Students)
Average score for grade 8 and below is: 110.6 ( 10 Students)
Average score with unknown grade: 50.0 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 14
Number of schools returning results 24
Average school winning score 106.58
American Mathematics Competitions
2006 AMC 12 A Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 443
Number of unofficial participants: 0
Average score of participants: 83.7
Average score for female students is: 79.3 ( 168 Students)
Average score for male students is: 86.8 ( 266 Students)
Average score for unspecified gender is 77.6 ( 9 Students)
Average score for grade 12 is: 84.2 ( 190 Students)
Average score for grade 11 is: 82.6 ( 179 Students)
Average score for grade 10 is: 90.0 ( 34 Students)
Average score for grade 9 is: 79.4 ( 25 Students)
Average score for grade 8 and below is: 84.0 ( 13 Students)
Average score with unknown grade: 88.8 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 81
Number of schools returning results 25
Average school winning score 108.82
Average school team score 310.84
American Mathematics Competitions
2006 AMC 10 B Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 231
Number of unofficial participants: 0
Average score of participants: 62.9
Average score for female students is: 60.7 ( 99 Students)
Average score for male students is: 64.4 ( 107 Students)
Average score for unspecified gender is 65.3 ( 25 Students)
Average score for grade 10 is: 63.2 ( 118 Students)
Average score for grade 9 is: 62.1 ( 101 Students)
Average score for grade 8 and below is: 49.7 ( 3 Students)
Average score with unknown grade: 72.3 ( 9 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 6
Average school winning score 97.08
American Mathematics Competitions
2006 AMC 12 B Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 272
Number of unofficial participants: 0
Average score of participants: 77.8
Average score for female students is: 74.6 ( 115 Students)
Average score for male students is: 79.6 ( 139 Students)
Average score for unspecified gender is 84.5 ( 18 Students)
Average score for grade 12 is: 78.5 ( 130 Students)
Average score for grade 11 is: 75.8 ( 116 Students)
Average score for grade 10 is: 82.1 ( 9 Students)
Average score for grade 9 is: 85.4 ( 15 Students)
Average score with unknown grade: 70.8 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 29
Number of schools returning results 11
Average school winning score 107.77
Average school team score 272.36
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
367.0 1 1
365.5 1 2
357.5 1 3
349.5 1 4
349.0 1 5
348.5 1 6
348.0 1 7
347.5 1 8
344.5 1 9
340.0 1 10
330.5 1 11
316.0 1 12
314.0 1 13
311.5 1 14
307.5 1 15
305.5 1 16
301.5 1 17
300.5 1 18
300.0 1 19
298.5 1 20
297.5 1 21
296.0 1 22
295.0 1 23
292.0 1 24
291.0 1 25
281.5 1 26
280.5 1 27
279.0 1 28
277.0 1 29
276.5 1 30
274.5 1 31
248.0 1 32
244.0 1 33
238.0 1 34
198.0 1 35
96.0 1 36
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
138.0 2
134.5 1
133.5 1 1 1
132.5 1
130.0 2
129.0 1 1
126.5 1 1
125.5 1
124.0 1
123.0 1
122.0 3
120.5 3
120.0 1
119.5 1 1
118.5 7 1 2
118.0 1 2
117.0 1
116.0 2 1
115.0 4
114.5 1
114.0 2
113.5 2 2
113.0 2
112.5 4
111.5 1 2
111.0 1 1
110.5 1
110.0 2 1
109.5 1
109.0 7 1 1
108.0 2 1
107.5 1 2
107.0 1 2
106.5 7 1
106.0 1
105.5 7 1
105.0 3
104.5 1 2
104.0 3 1 2 1
103.5 2
103.0 6 1
102.5 1 2
102.0 11 3 1
101.5 3 2 1
101.0 5
100.5 5 1 1
99.5 3 4 1
99.0 1 1 1
98.5 4 6 5
98.0 3 4 1
97.5 2
97.0 2 1 3
96.0 6 9 1
95.5 2 4 1
95.0 7 6 5 2
94.5 11 1 6 1
94.0 1 2
93.5 8 3 7
92.5 10 4 2
92.0 3 1 3 1
91.5 4 6 2 1
91.0 5 2 5 1
90.5 1 1 5
90.0 10 7 5 1
89.5 2
89.0 16 8 3 1
88.5 7 1 4
88.0 2 1 4
87.5 15 2 5 5
87.0 3 2 1
86.5 5 6 7 2
86.0 3 1 1 1
85.5 1 2 4 2
85.0 6 3 4
84.5 5 2 2 2
84.0 9 2
83.5 1 2 1 3
83.0 12 9 6 1
82.5 4 1 4 2
82.0 3 5 2
81.5 6 3 2 3
81.0 3 1 1
80.5 11 4 3 5
80.0 4 3 1
79.5 4 4 4 1
79.0 2 1 4 1
78.5 2 3 3 2
78.0 7 3 7 2
77.5 2 1 5 2
77.0 11 5 4 4
76.5 7 1 5
76.0 7 2 4 1
75.5 4 3 4
75.0 4 2 3 3
74.5 6 3 3 1
74.0 1 1 3 1
73.5 5 3 3 1
73.0 3 1 2 3
72.5 1 2 4 3
72.0 6 5 5 2
71.5 4 3 2 4
71.0 3 4 4
70.5 4 1 1 4
70.0 3 3 2 3
69.5 2 2 2
69.0 3 3 2 1
68.5 3 2
68.0 1 4 2
67.5 2 2 3
67.0 3 4 3 4
66.5 2 3 4 2
66.0 2 5 4
65.5 2 1 3 5
65.0 2 4
64.5 3 1 1 2
64.0 1 3 2
63.5 1 2 4
63.0 3 1 2 1
62.5 3 1 4 7
62.0 2 1 4 2
61.5 2 1 2 2
61.0 2 2 6
60.5 2 4 3
60.0 3 2 3 3
59.5 1 1 1 2
59.0 1 2 1
58.5 1 1 6
58.0 5 1 4
57.5 1 2 3 2
57.0 1 1 2 2
56.5 2 2 6
56.0 3 3 2
55.5 1
55.0 1 2 2
54.5 1 2 3 3
54.0 5 2 5 3
53.5 1 1 4
53.0 1 2
52.5 1 2
52.0 1 2 2
51.5 1 1 1
51.0 2 1 2
50.5 1 3
50.0 1 4 2
49.5 2 1
49.0 1 1 2 2
48.5 1 1 1 1
48.0 2 2 2 3
47.5 2 2
47.0 5
46.5 1 1 1
46.0 1 1
45.5 1 1
45.0 1 1
44.5 1 1 1
44.0 2 2 2 3
43.5 1 1 2
43.0 1 1
42.5 2
42.0 2 3 2 3
40.5 2
40.0 1 1
39.0 1
38.5 2
38.0 1
37.5 1
37.0 1
36.5 2
36.0 4 1 1
35.5 1 3
35.0 2
34.5 1
34.0 1
32.5 1 1
32.0 1
31.5 1
31.0 1
30.0 1 2 2
29.0 1
28.5 1
28.0 1
27.0 1
26.5 1 1
25.5 1
24.5 1
24.0 2 1 2
21.0 1
18.0 1 1
12.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5 1
149.0 124.0 99.0 1
148.5 123.5 98.5 5
148.0 123.0 98.0 3 1
147.5 122.5 97.5
147.0 122.0 97.0 3
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 2 1 95.5 4
145.0 120.0 1 95.0 4 1
144.5 119.5 94.5 5 1
144.0 119.0 94.0
143.5 118.5 2 93.5 3 4
143.0 118.0 1 1 93.0
142.5 117.5 92.5 1 1
142.0 117.0 1 92.0 1 1
141.5 116.5 91.5 1 1
141.0 116.0 91.0 4 1
140.5 115.5 90.5 3 2
140.0 115.0 90.0 4 1
139.5 114.5 89.5
139.0 114.0 2 89.0 1 2
138.5 113.5 2 88.5 1 3
138.0 1 1 113.0 1 1 88.0 3 1
137.5 112.5 87.5 4 1
137.0 112.0 87.0 1
136.5 111.5 86.5 2 4
136.0 111.0 1 86.0 1
135.5 110.5 1 85.5 2 2
135.0 110.0 1 85.0 3 1
134.5 1 109.5 1 84.5 2
134.0 109.0 1 84.0
133.5 1 108.5 83.5 1
133.0 108.0 1 83.0 1 5
132.5 1 107.5 1 1 82.5 2 2
132.0 107.0 1 1 82.0 2
131.5 106.5 1 81.5 2
131.0 106.0 1 81.0
130.5 105.5 80.5 3
130.0 2 105.0 3 80.0 1 2
129.5 104.5 79.5 2 2
129.0 1 104.0 2 79.0 3 1
128.5 103.5 1 1 78.5 2 1
128.0 103.0 78.0 4 3
127.5 102.5 1 1 77.5 4 1
127.0 102.0 1 77.0 2 2
126.5 1 101.5 2 76.5 3 1
126.0 101.0 76.0 2 2
125.5 100.5 75.5 2
American Mathematics Competitions
2006 AMC 10 A Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 3 1 25.0
74.5 3 49.5 1 1 24.5
74.0 3 49.0 1 1 24.0
73.5 3 48.5 1 23.5
73.0 1 1 48.0 1 1 23.0
72.5 2 1 47.5 22.5
72.0 4 1 47.0 22.0
71.5 2 46.5 1 21.5
71.0 2 2 46.0 21.0
70.5 1 45.5 1 20.5
70.0 1 1 45.0 20.0
69.5 2 44.5 19.5
69.0 2 44.0 2 19.0
68.5 2 43.5 1 18.5
68.0 2 2 43.0 1 18.0
67.5 42.5 1 17.5
67.0 1 2 42.0 1 1 17.0
66.5 2 1 41.5 16.5
66.0 2 2 41.0 16.0
65.5 3 40.5 15.5
65.0 4 40.0 15.0
64.5 1 39.5 14.5
64.0 1 2 39.0 14.0
63.5 2 38.5 13.5
63.0 2 38.0 13.0
62.5 2 2 37.5 12.5
62.0 4 37.0 12.0
61.5 1 36.5 11.5
61.0 2 3 36.0 1 11.0
60.5 2 2 35.5 10.5
60.0 2 1 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 3 1 33.0 8.0
57.5 1 32.5 1 7.5
57.0 1 1 32.0 7.0
56.5 31.5 6.5
56.0 1 2 31.0 6.0
55.5 1 30.5 5.5
55.0 1 1 30.0 5.0
54.5 1 2 29.5 4.5
54.0 3 2 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 2 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
138.0 1 1
134.5 1
133.5 1
132.5 1
130.0 1 1
129.0 1
126.5 1
120.5 1 1 1
120.0 1
118.5 1 1
118.0 2
117.0 1
114.0 1 1
113.5 2
113.0 1 1
111.0 1
110.5 1
110.0 1
109.5 1
109.0 1
108.0 1
107.5 2
107.0 2
106.5 1
106.0 1
105.0 3
104.0 2
103.5 1 1
102.5 1 1
102.0 1
101.5 1 1
99.5 1
99.0 1
98.5 2 3
98.0 1 3
97.0 3
96.0 1
95.5 2 2
95.0 1 1 3
94.5 1 5
93.5 7
92.5 2
92.0 1 2
91.5 2
91.0 2 3
90.5 2 3
90.0 5
89.0 2 1
88.5 2 2
88.0 1 1 2
87.5 1 4
87.0 2
86.5 2 5
86.0 1
85.5 2 2
85.0 1 3
84.5 2
83.5 1
83.0 3 3
82.5 2 2
82.0 1 1
81.5 1 1
80.5 2 1
80.0 3
79.5 2 2
79.0 4
78.5 3
78.0 2 5
77.5 5
77.0 2 2
76.5 2 3
76.0 3 1
75.5 1 2
75.0 2 1
74.5 3
74.0 3
73.5 2 1
73.0 1 1
72.5 1 3
72.0 2 3
71.5 2
71.0 4
70.5 1
70.0 1 1
69.5 1 1
69.0 1 1
68.5 1 1
68.0 4
67.0 1 2
66.5 3 1
66.0 1 3
65.5 1 2
65.0 2 2
64.5 1
64.0 1 2
63.5 1 1
63.0 1 1
62.5 2 2
62.0 1 3
61.5 2
61.0 6
60.5 1 3
60.0 1 2
59.5 1
59.0 1 1
58.0 2 2
57.5 1 1 1
57.0 2
56.0 1 2
55.5 1
55.0 1 1
54.5 1 2
54.0 3 2
53.5 1
53.0 1
52.0 2
51.5 1
51.0 1
50.0 2 2
49.5 1 1
49.0 2
48.5 1
48.0 2
46.5 1
45.5 1
44.0 1 1
43.5 1
43.0 1
42.5 1 1
42.0 1 1
36.0 1
32.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Kentucky
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 10.00* 0.00 0.00 0.00 0.00 0.00 0.00
2 0.89 0.26 3.00* 0.20 2.09 3.57 0.00
3 0.00 8.46* 0.09 0.09 1.14 0.20 0.03
4 2.20 0.11 0.03 0.11 6.94* 0.60 0.00
5 0.26 1.34 1.03 6.83* 0.17 0.37 0.00
6 0.14 8.49* 0.23 0.06 0.00 1.09 0.00
7 7.49* 0.03 0.23 0.40 0.40 1.46 0.00
8 0.74 0.46 0.37 0.17 3.03* 5.23 0.00
9 2.00 1.14 5.89* 0.20 0.14 0.63 0.00
10 0.31 0.29 0.83 2.66 1.11* 4.80 0.00
11 1.69 1.80 1.83* 0.63 0.54 3.51 0.00
12 1.00 0.54 4.31* 1.14 0.49 2.51 0.00
13 0.34 1.17 0.29 5.14* 0.11 2.94 0.00
14 1.77 3.91* 0.29 1.09 0.74 2.20 0.00
15 0.71 0.46 0.26 1.57* 0.60 6.40 0.00
16 0.11 0.14 0.43 0.49* 0.89 7.94 0.00
17 2.03* 0.43 0.29 0.60 0.06 6.60 0.00
18 1.89 0.09 2.89* 0.40 0.29 4.46 0.00
19 0.54 1.23 0.97* 0.43 0.29 6.54 0.00
20 0.37 0.91 0.43 0.37 0.97* 6.94 0.00
21 0.71 0.89 0.29 0.31 1.51* 6.29 0.00
22 0.00 0.54 4.06* 3.63 0.71 1.06 0.00
23 0.51 1.49* 0.23 0.51 0.60 6.66 0.00
24 0.66 0.60* 0.34 0.31 0.40 7.69 0.00
25 2.26 0.97 0.66* 0.46 0.20 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 Kentucky
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 2 1
149.0 124.0 1 99.0 1
148.5 123.5 98.5 4
148.0 123.0 1 98.0 3
147.5 122.5 97.5
147.0 122.0 2 1 97.0 1 1
146.5 121.5 96.5
146.0 121.0 96.0 4 2
145.5 120.5 95.5 1 1
145.0 120.0 95.0 6 1
144.5 119.5 1 94.5 8 3
144.0 119.0 94.0 1
143.5 118.5 7 93.5 6 2
143.0 118.0 93.0
142.5 117.5 92.5 5 5
142.0 117.0 92.0 2 1
141.5 116.5 91.5 4
141.0 116.0 91.0 1 4
140.5 115.5 90.5 1
140.0 115.0 1 3 90.0 5 5
139.5 114.5 89.5
139.0 114.0 89.0 10 6
138.5 113.5 88.5 5 1
138.0 113.0 88.0 2
137.5 112.5 4 87.5 6 7
137.0 112.0 87.0
136.5 111.5 1 86.5 2 3
136.0 111.0 1 86.0 2 1
135.5 110.5 85.5 1
135.0 110.0 2 85.0 6
134.5 109.5 84.5 4
134.0 109.0 5 2 84.0 5 4
133.5 1 108.5 83.5 1
133.0 108.0 1 1 83.0 6 6
132.5 107.5 1 82.5 3 1
132.0 107.0 82.0 2 1
131.5 106.5 5 1 81.5 4 2
131.0 106.0 81.0 1 1
130.5 105.5 5 2 80.5 3 8
130.0 105.0 80.0 4
129.5 104.5 1 79.5 1 3
129.0 104.0 3 79.0 1 1
128.5 103.5 78.5 2
128.0 103.0 5 1 78.0 6 1
127.5 102.5 1 77.5 1 1
127.0 102.0 8 3 77.0 9 2
126.5 101.5 3 76.5 3 4
126.0 101.0 76.0 2 5
125.5 1 100.5 5 75.5 1 3
American Mathematics Competitions
2006 AMC 12 A Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 25.0
74.5 4 2 49.5 24.5
74.0 1 49.0 1 24.0 1 1
73.5 1 4 48.5 1 23.5
73.0 3 48.0 1 23.0
72.5 1 47.5 1 1 22.5
72.0 3 3 47.0 22.0
71.5 2 2 46.5 1 21.5
71.0 1 2 46.0 1 21.0
70.5 1 2 45.5 20.5
70.0 2 1 45.0 1 20.0
69.5 2 44.5 1 19.5
69.0 1 2 44.0 1 19.0
68.5 2 1 43.5 18.5
68.0 43.0 18.0
67.5 1 1 42.5 17.5
67.0 2 1 42.0 1 1 17.0
66.5 1 1 41.5 16.5
66.0 1 1 41.0 16.0
65.5 1 1 40.5 15.5
65.0 2 40.0 1 15.0
64.5 2 1 39.5 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 3 38.0 13.0
62.5 2 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 2 36.5 11.5
61.0 1 1 36.0 11.0
60.5 2 35.5 1 10.5
60.0 1 2 35.0 10.0
59.5 1 34.5 1 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 4 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 1 5.0
54.5 1 29.5 4.5
54.0 4 1 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 27.0 1 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
2006 AMC 12 A Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
125.5 1
124.0 1
123.0 1
122.0 1 2
119.5 1
118.5 1 1 5
115.0 1 1 2
112.5 1 3
111.5 1
111.0 1
110.0 1 1
109.0 3 4
108.0 1 1
107.5 1
106.5 5 2
105.5 2 5
104.5 1
104.0 2 1
103.0 1 5
102.5 1
102.0 1 6 4
101.5 3
100.5 2 1 2
99.5 2 1
99.0 1
98.5 1 2 1
98.0 2 1
97.0 1 1
96.0 1 3 2
95.5 1 1
95.0 1 3 2 1
94.5 1 3 7
94.0 1
93.5 1 1 2 4
92.5 1 1 5 3
92.0 1 1 1
91.5 2 2
91.0 2 3
90.5 1
90.0 1 5 4
89.0 3 2 4 2 4 1
88.5 3 3 1
88.0 1 1
87.5 1 5 9
86.5 1 2 2
86.0 2 1
85.5 1
85.0 1 2 3
84.5 3 2
84.0 1 4 4
83.5 1
83.0 1 1 1 2 7
82.5 2 2
82.0 1 1 1
81.5 3 3
81.0 1 1 1
80.5 3 8
80.0 1 3
79.5 1 3
79.0 1 1
78.5 1 1
78.0 2 5
77.5 2
77.0 1 2 1 4 3
76.5 3 4
76.0 1 4 2
75.5 1 3
75.0 2 2
74.5 1 2 3
74.0 1
73.5 4 1
73.0 2 1
72.5 1
72.0 2 3 1
71.5 2 2
71.0 1 2
70.5 1 3
70.0 1 1 1
69.5 1 1
69.0 2 1
68.5 3
67.5 2
67.0 1 2
66.5 1 1
66.0 1 1
65.5 2
65.0 2
64.5 2 1
63.5 1
63.0 2 1
62.5 1 2
62.0 2
61.5 2
61.0 2
60.5 2
60.0 1 1 1
59.5 1
58.5 1
58.0 1 2 2
57.5 1
57.0 1
56.5 1 1
55.0 1
54.5 1
54.0 1 1 3
51.5 1
49.0 1
48.5 1
48.0 1 1
47.5 2
46.5 1
46.0 1
45.0 1
44.5 1
44.0 2
42.0 2
40.0 1
35.5 1
34.5 1
30.0 1
27.0 1
24.0 2
American Mathematics Competitions
2006 AMC 12 A Results for Kentucky
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 9.91* 0.02 0.05 0.02 0.00 0.00 0.00
2 1.29 0.11 5.01* 0.07 1.13 2.39 0.00
3 0.07 8.71* 0.07 0.02 1.11 0.02 0.00
4 2.01 0.14 0.02 0.11 7.54* 0.18 0.00
5 0.11 0.72 0.84 7.90* 0.11 0.32 0.00
6 7.45* 0.07 0.18 0.16 0.56 1.58 0.00
7 0.90 4.74* 0.81 0.61 0.52 2.42 0.00
8 1.11 1.08 6.75* 0.25 0.11 0.70 0.00
9 8.40* 0.18 0.07 0.11 0.23 1.02 0.00
10 0.34 0.20 0.95 3.14 1.81* 3.57 0.00
11 1.40 0.86 2.21* 0.90 0.52 4.11 0.00
12 1.65 5.10* 0.14 0.68 0.41 2.03 0.00
13 0.45 0.09 0.14 0.14 5.51* 3.68 0.00
14 0.07 0.68 4.74* 2.66 0.29 1.56 0.00
15 2.96* 1.26 0.32 0.63 1.58 3.25 0.00
16 0.32 2.98* 0.16 0.29 0.56 5.69 0.00
17 0.23 0.47* 0.43 0.43 0.14 8.31 0.00
18 1.22 0.07 0.29 0.61 0.36* 7.45 0.00
19 0.09 0.16 0.29 0.18 0.18* 9.10 0.00
20 1.58 0.47 0.59* 0.36 0.25 6.75 0.00
21 0.05 0.18 0.20 0.20 0.16* 9.21 0.00
22 0.20 0.11 0.16 0.16* 0.09 9.28 0.00
23 0.11 0.09* 0.14 0.09 0.16 9.41 0.00
24 1.13 0.16 0.16 0.11* 0.11 8.33 0.00
25 0.05 0.25 0.23 0.18 0.11* 9.16 0.02
(*) 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 Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5
149.0 124.0 99.0 1
148.5 123.5 98.5
148.0 123.0 98.0 1
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 1
145.0 120.0 95.0 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
142.0 117.0 92.0 1
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 2
139.0 114.0 89.0 1
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5 3 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1 1
136.0 111.0 86.0 1
135.5 110.5 85.5 1 1
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0
133.5 108.5 83.5 1 2
133.0 108.0 83.0 1
132.5 107.5 82.5 1 1
132.0 107.0 82.0
131.5 106.5 81.5 2 1
131.0 106.0 81.0 1
130.5 105.5 80.5 1 2
130.0 105.0 80.0
129.5 104.5 79.5 1
129.0 104.0 79.0 1
128.5 103.5 78.5 2
128.0 103.0 78.0 2
127.5 102.5 77.5 1 1
127.0 102.0 77.0 4
126.5 101.5 1 76.5
126.0 101.0 76.0 1
125.5 100.5 1 75.5 2 1
American Mathematics Competitions
2006 AMC 10 B Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 2 25.0
74.5 1 49.5 1 24.5 1
74.0 1 49.0 2 24.0 1 1
73.5 1 48.5 1 23.5
73.0 3 48.0 1 2 23.0
72.5 2 47.5 1 1 22.5
72.0 2 47.0 2 3 22.0
71.5 3 1 46.5 21.5
71.0 46.0 1 21.0 1
70.5 2 2 45.5 20.5
70.0 3 45.0 20.0
69.5 44.5 1 19.5
69.0 1 44.0 2 19.0
68.5 43.5 1 18.5
68.0 1 43.0 1 18.0 1
67.5 1 1 42.5 17.5
67.0 3 1 42.0 2 1 17.0
66.5 1 1 41.5 16.5
66.0 41.0 16.0
65.5 2 3 40.5 1 15.5
65.0 40.0 15.0
64.5 1 1 39.5 14.5
64.0 1 39.0 14.0
63.5 3 1 38.5 1 13.5
63.0 38.0 13.0
62.5 3 1 37.5 1 12.5
62.0 1 1 37.0 12.0 1
61.5 2 36.5 1 11.5
61.0 36.0 1 11.0
60.5 3 35.5 2 1 10.5
60.0 1 2 35.0 1 1 10.0
59.5 2 34.5 9.5
59.0 1 34.0 1 9.0
58.5 4 2 33.5 8.5
58.0 33.0 8.0
57.5 2 32.5 7.5
57.0 2 32.0 1 7.0
56.5 3 3 31.5 1 6.5
56.0 2 31.0 1 6.0
55.5 30.5 5.5
55.0 1 30.0 1 1 5.0
54.5 3 29.5 4.5
54.0 1 1 29.0 1 4.0
53.5 2 2 28.5 1 3.5
53.0 2 28.0 3.0
52.5 2 27.5 2.5
52.0 1 1 27.0 2.0
51.5 26.5 1 1.5
51.0 1 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
116.0 1
104.0 1
101.5 1
100.5 1
99.0 1
98.0 1
95.5 1
95.0 1 1
94.5 1
92.0 1
91.5 1
91.0 1
90.0 1
89.5 1 1
89.0 1
87.5 2 2 1
87.0 1
86.5 1 1
86.0 1
85.5 1 1
84.5 1 1
83.5 3
83.0 1
82.5 2
81.5 2 1
81.0 1
80.5 4 1
80.0 1
79.5 1
79.0 1
78.5 1 1
78.0 2
77.5 1 1
77.0 3 1
76.0 1
75.5 4
75.0 2 1
74.5 1
74.0 1
73.5 1
73.0 3
72.5 1 1 1
72.0 1 1
71.5 3 1
70.5 2 2
70.0 2 1
69.0 1
68.0 1 1
67.5 3
67.0 3 1
66.5 1 1
65.5 2 3
64.5 1 1
64.0 2
63.5 3 1
63.0 1
62.5 2 4 1
62.0 2
61.5 1 1
60.5 2 1
60.0 1 2
59.5 2
59.0 1
58.5 1 5
57.5 2
57.0 2
56.5 2 4
56.0 2
55.0 1 1
54.5 2 1
54.0 2 1
53.5 1 3
53.0 2
52.5 1 1
52.0 1 1
51.0 2
50.5 3
50.0 2
49.5 1
49.0 1 1
48.5 1
48.0 1 2
47.5 1 1
47.0 3 2
46.0 1
44.5 1
44.0 2 1
43.5 2
43.0 1
42.0 2 1
40.5 1 1
39.0 1
38.5 1 1
37.5 1
36.5 2
36.0 1
35.5 3
35.0 1 1
34.0 1
32.0 1
31.5 1
31.0 1
30.0 2
29.0 1
28.5 1
26.5 1
24.5 1
24.0 2
21.0 1
18.0 1
12.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Kentucky
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 0.74 0.56 4.98* 2.25 0.82 0.65 0.00
2 5.71* 0.61 0.13 0.30 0.22 3.03 0.00
3 7.58* 0.13 0.09 1.47 0.43 0.30 0.00
4 1.56 2.12 0.43 2.68* 1.90 1.30 0.00
5 0.74 4.46* 2.08 0.48 0.13 2.12 0.00
6 0.43 0.17 3.25 2.68* 0.30 3.16 0.00
7 1.86* 1.26 1.43 0.95 0.95 3.55 0.00
8 1.43 0.82* 0.52 1.52 0.65 5.06 0.00
9 0.22 7.23* 0.00 0.13 1.43 1.00 0.00
10 2.08* 0.65 1.95 0.17 2.29 2.86 0.00
11 0.56 0.69 2.55* 0.65 0.35 5.19 0.00
12 0.22 0.35 0.35 0.48 3.59* 5.02 0.00
13 1.08 0.22 2.51 1.13 1.99* 3.07 0.00
14 0.13 0.52 0.22 0.56* 0.17 8.40 0.00
15 1.17 0.48 1.52* 0.52 0.43 5.89 0.00
16 2.29 0.74 2.38 1.08 1.34* 2.16 0.00
17 2.86 0.95 1.73 2.38* 0.13 1.95 0.00
18 0.56 0.61 0.82 0.56 0.65* 6.80 0.00
19 0.43* 0.43 0.43 0.35 0.39 7.97 0.00
20 0.48 0.52 0.39 0.82 0.78* 7.01 0.00
21 0.48 0.48 0.52* 2.34 1.00 5.19 0.00
22 0.43 0.91 2.60 0.43* 0.09 5.54 0.00
23 0.30 1.04 0.43 0.69* 0.35 7.19 0.00
24 0.39 0.95* 0.87 0.52 0.56 6.71 0.00
25 0.35 2.42* 0.39 2.25 0.35 4.24 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 Kentucky
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
149.0 124.0 99.0
148.5 123.5 98.5 4 2
148.0 123.0 98.0
147.5 122.5 97.5 2
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 7 2
145.5 120.5 95.5
145.0 120.0 95.0 3 3
144.5 119.5 1 94.5 1
144.0 119.0 94.0 1
143.5 118.5 1 93.5 2 1
143.0 118.0 1 93.0
142.5 117.5 92.5 2 2
142.0 117.0 92.0
141.5 116.5 91.5 3 3
141.0 116.0 1 1 91.0 1 1
140.5 115.5 90.5 1
140.0 115.0 90.0 3 4
139.5 114.5 1 89.5
139.0 114.0 89.0 7 1
138.5 113.5 1 88.5 1
138.0 113.0 88.0 1
137.5 112.5 87.5 2
137.0 112.0 87.0 2 1
136.5 111.5 1 86.5 2 4
136.0 111.0 86.0 1
135.5 110.5 85.5 2
135.0 110.0 85.0 2
134.5 109.5 84.5 1 1
134.0 109.0 1 84.0 1 1
133.5 1 108.5 83.5 2
133.0 108.0 83.0 3 5
132.5 107.5 82.5 1
132.0 107.0 82.0 1 3
131.5 106.5 81.5 3
131.0 106.0 81.0 1
130.5 105.5 1 80.5 1 2
130.0 105.0 80.0
129.5 104.5 1 79.5 4
129.0 1 104.0 1 79.0 1
128.5 103.5 78.5 3
128.0 103.0 1 78.0 2 1
127.5 102.5 77.5 1
127.0 102.0 3 77.0 4 1
126.5 1 101.5 76.5 1
126.0 101.0 4 1 76.0 2
125.5 100.5 1 75.5
American Mathematics Competitions
2006 AMC 12 B Results for Kentucky
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 1 49.5 24.5
74.0 1 49.0 1 24.0 1
73.5 1 2 48.5 1 23.5
73.0 1 48.0 1 1 23.0
72.5 1 1 47.5 22.5
72.0 1 2 47.0 22.0
71.5 1 1 46.5 1 21.5
71.0 1 2 46.0 21.0
70.5 1 45.5 1 20.5
70.0 3 45.0 1 20.0
69.5 1 44.5 1 19.5
69.0 2 1 44.0 1 1 19.0
68.5 43.5 1 18.5
68.0 1 43.0 18.0 1
67.5 2 42.5 17.5
67.0 1 3 42.0 3 17.0
66.5 2 1 41.5 16.5
66.0 3 2 41.0 16.0
65.5 1 40.5 15.5
65.0 40.0 1 15.0
64.5 1 39.5 14.5
64.0 1 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 1 13.0
62.5 1 37.5 12.5
62.0 1 37.0 1 12.0
61.5 36.5 11.5
61.0 1 1 36.0 2 2 11.0
60.5 35.5 10.5
60.0 1 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 1 1 32.5 1 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 1 2 31.0 6.0
55.5 30.5 5.5
55.0 30.0 1 1 5.0
54.5 2 29.5 4.5
54.0 1 29.0 4.0
53.5 1 28.5 3.5
53.0 28.0 1 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1 1.5
51.0 1 1 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
133.5 1
129.0 1
126.5 1
119.5 1
118.5 1
118.0 1
116.0 2
114.5 1
113.5 2
111.5 1 1
109.0 1
107.0 1
105.5 1
104.5 2
104.0 1
103.0 1
102.0 1 2
101.0 1 1 3
100.5 1
99.5 1 3
98.5 2 4
97.5 2
97.0 1
96.0 2 4 3
95.0 1 1 4
94.5 1
94.0 1 1
93.5 1 2
92.5 1 3
92.0 1
91.5 1 1 4
91.0 2
90.5 1
90.0 5 2
89.0 1 5 2
88.5 1
88.0 1
87.5 2
87.0 1 2
86.5 3 3
86.0 1
85.5 1 1
85.0 3
84.5 2
84.0 1 1
83.5 2
83.0 1 2 6
82.5 1
82.0 2 3
81.5 3
81.0 1
80.5 1 3
79.5 3 1
79.0 1
78.5 1 2
78.0 1 2
77.5 1
77.0 1 2 2
76.5 1
76.0 1 1
75.0 2
74.5 1 2
74.0 1
73.5 1 2
73.0 1
72.5 2
72.0 1 3 1
71.5 1 2
71.0 3 1
70.5 1
70.0 2 1
69.5 1 1
69.0 1 2
68.0 1
67.5 1 1
67.0 2 2
66.5 2 1
66.0 2 3
65.5 1
64.5 1
64.0 1
63.0 1
62.5 1
62.0 1
61.5 1
61.0 1 1
60.0 1 1
59.5 1
59.0 1
58.5 1
58.0 1
57.5 2
57.0 1
56.5 1 1
56.0 1 2
54.5 1 1
54.0 2
53.5 1
52.5 1
52.0 1
51.5 1
51.0 1 1
50.5 1
50.0 1
49.0 1
48.5 1
48.0 1 1
46.5 1
45.5 1
45.0 1
44.5 1
44.0 1 1
43.5 1
42.0 3
40.0 1
38.0 1
37.0 1
36.0 1 3
32.5 1
30.0 1 1
28.0 1
26.5 1
25.5 1
24.0 1
18.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Kentucky
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 0.44 0.37 7.21* 1.36 0.33 0.29 0.00
2 7.06* 0.44 0.37 0.18 0.29 1.65 0.00
3 7.98* 0.37 0.18 0.99 0.37 0.11 0.00
4 8.86* 0.33 0.22 0.26 0.07 0.26 0.00
5 6.65* 0.81 0.40 0.40 0.18 1.54 0.00
6 0.15 7.61* 0.26 0.07 1.10 0.81 0.00
7 0.48 7.54* 0.88 0.63 0.22 0.26 0.00
8 0.22 0.33 0.48 0.51 6.54* 1.91 0.00
9 0.55 3.90* 0.74 1.21 0.29 3.31 0.00
10 2.46* 0.48 1.58 0.29 2.65 2.54 0.00
11 0.66 0.22 1.76 0.74 4.08* 2.50 0.04
12 1.03 0.77 0.51 0.88* 0.63 6.18 0.00
13 0.59 0.44 2.46* 0.22 0.66 5.63 0.00
14 0.37 0.77 2.21 1.43* 0.11 5.07 0.04
15 0.18 1.73* 0.96 0.55 0.40 6.14 0.04
16 0.44 0.37 0.88* 0.44 0.15 7.72 0.00
17 0.85 0.51 1.07* 2.17 0.88 4.52 0.00
18 0.66 0.66* 1.40 0.77 0.33 6.18 0.00
19 0.15 2.13* 0.22 1.88 0.55 5.07 0.00
20 0.29 0.44 0.55* 0.29 0.59 7.83 0.00
21 0.63 0.33 0.44* 0.00 0.37 8.24 0.00
22 0.37 0.66* 0.48 0.22 0.07 8.20 0.00
23 0.22 0.40 0.88 0.63 0.29* 7.57 0.00
24 0.48 0.48 0.40* 0.26 0.22 8.16 0.00
25 0.22 0.44* 0.66 0.44 0.11 8.13 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column