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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 520
Number of unofficial participants: 0
Average score of participants: 72.4
Average score for female students is: 69.7 ( 257 Students)
Average score for male students is: 75.4 ( 240 Students)
Average score for unspecified gender is 71.9 ( 23 Students)
Average score for grade 10 is: 73.4 ( 314 Students)
Average score for grade 9 is: 71.1 ( 193 Students)
Average score for grade 8 and below is: 68.3 ( 5 Students)
Average score with unknown grade: 67.1 ( 8 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 24
Average school winning score 102.54
American Mathematics Competitions
2005 AMC 12 A Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 590
Number of unofficial participants: 0
Average score of participants: 75.4
Average score for female students is: 69.1 ( 215 Students)
Average score for male students is: 79.2 ( 352 Students)
Average score for unspecified gender is 75.1 ( 23 Students)
Average score for grade 12 is: 76.0 ( 266 Students)
Average score for grade 11 is: 74.9 ( 255 Students)
Average score for grade 10 is: 76.2 ( 39 Students)
Average score for grade 9 is: 68.8 ( 16 Students)
Average score for grade 8 and below is: 95.0 ( 1 Student)
Average score with unknown grade: 76.9 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 59
Number of schools returning results 28
Average school winning score 104.63
Average school team score 287.66
American Mathematics Competitions
2005 AMC 10 B Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 44
Number of unofficial participants: 0
Average score of participants: 78.6
Average score for female students is: 76.7 ( 19 Students)
Average score for male students is: 80.4 ( 24 Students)
Average score for unspecified gender is 72.5 ( 1 Student)
Average score for grade 10 is: 80.6 ( 24 Students)
Average score for grade 9 is: 76.3 ( 19 Students)
Average score with unknown grade: 72.5 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 3
Average school winning score 103.17
American Mathematics Competitions
2005 AMC 12 B Results for Kentucky
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 145
Number of unofficial participants: 0
Average score of participants: 86.4
Average score for female students is: 81.8 ( 58 Students)
Average score for male students is: 89.8 ( 84 Students)
Average score for unspecified gender is 79.7 ( 3 Students)
Average score for grade 12 is: 89.5 ( 55 Students)
Average score for grade 11 is: 87.3 ( 38 Students)
Average score for grade 10 is: 82.2 ( 23 Students)
Average score for grade 9 is: 80.2 ( 21 Students)
Average score for grade 8 and below is: 86.8 ( 6 Students)
Average score with unknown grade: 97.8 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 23
Number of schools returning results 7
Average school winning score 107.79
Average school team score 279.79
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
370.5 1 1
349.5 1 2
337.5 1 3
329.5 1 4
317.5 1 5
316.5 1 6
315.5 1 7
314.5 1 8
313.5 1 9
309.5 1 10
308.5 1 11
307.5 1 12
307.0 1 13
305.5 1 14
303.5 1 15
303.0 1 16
301.0 1 17
299.5 1 18
295.0 1 19
294.0 3 20
287.0 1 1 23
286.0 1 25
268.5 1 26
267.5 1 27
262.5 1 28
258.5 2 29
254.5 1 31
250.0 1 32
238.0 1 33
109.0 1 34
99.5 1 35
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
134.5 1
130.0 1
125.5 2
124.0 1
123.0 1
122.0 1
120.5 1
118.5 1 1
118.0 1
117.0 1
116.0 1 2
115.5 1
115.0 2 1 1
114.5 2
113.5 3 3 2
112.5 2
111.5 4 1
111.0 1
110.0 3 3 1
109.0 3 2
108.5 1
108.0 1 2
107.5 1
106.5 1 1 1
106.0 1
105.5 9
105.0 3
104.5 3 2 1
104.0 1
103.0 2 1 2
102.5 1 2
102.0 8 4 2
101.5 1 1 2 1
101.0 4 4 1
100.5 1 3
100.0 1
99.5 2 4 1
99.0 1
98.5 7 3 2
98.0 1 5
97.5 2 1
97.0 5 2
96.5 2
96.0 6 1 5 1
95.5 2 2
95.0 9 8
94.5 2 5
94.0 3 1 3
93.5 2 2 1
92.5 15 4 1
92.0 2
91.5 4 1 1
91.0 2 1 5
90.5 2 6 1 1
90.0 1 5 5
89.5 1 1 1
89.0 11 4 3
88.5 1 1
88.0 6 3
87.5 4 3 1
87.0 4 1 3
86.5 5 1 5
86.0 1 1
85.5 7 2 6
85.0 2 6
84.5 6 1 3 1
84.0 4 4 5 2
83.5 6 4 5 2
83.0 17 7 6 1
82.5 3 1 2
82.0 5 1 6 1
81.5 3 2 3
81.0 10 8 3
80.5 15 2 4 2
80.0 4 3 5 1
79.5 8 2 7 1
79.0 3 1 4
78.5 9 1 4
78.0 10 3 9 2
77.5 6 2 12
77.0 10 1 4
76.5 2 3 5 1
76.0 6 2 10
75.5 5 7
75.0 8 3 5
74.5 6 1 4 1
74.0 3 1 10
73.5 6 1 11 2
73.0 4 1 4 2
72.5 12 2 11 1
72.0 7 1 6 1
71.5 7 1 11
71.0 10 14
70.5 6 6
70.0 9 13
69.5 5 2
69.0 3 1 9
68.5 3 7
68.0 8 1 1 1
67.5 5 1 9 1
67.0 4 5
66.5 4 6
66.0 4 2 1
65.5 4 2 8
65.0 12 1 3
64.5 5 1 5 1
64.0 7 2 11
63.5 3 5
63.0 3 1 7 1
62.5 6 7
62.0 7 6 1
61.5 2 1 2
61.0 4 3
60.5 1 5 1
60.0 1 6
59.5 7 7
59.0 4 5
58.5 4 4 1
58.0 5 4
57.5 4 6
57.0 4 3
56.5 9 4
56.0 6 4
55.5 3 6 1
55.0 4 2
54.5 2 2 1
54.0 6 1 7
53.5 1 3
53.0 5 4
52.5 1
52.0 1 2
51.5 2 2
51.0 2
50.5 2 2 1
50.0 1 3
49.5 2 1
49.0 5
48.5 2
48.0 6 1
47.5 1 2
47.0 1 1
46.5 3 1
46.0 1 1 2
45.5 3 1
45.0 4
44.5 3 2
44.0 1 3
43.5 1 1
43.0 3
42.5 1
42.0 4 2
41.5 1 2
41.0 1
40.0 1
38.0 2 1
37.5 1
37.0 1
36.5 2
36.0 5
35.5 1 3
35.0 1 1
34.0 1
32.5 1
30.5 1
30.0 1 1
28.5 1
26.5 1
26.0 1
24.0 1
23.0 1
13.5 1
American Mathematics Competitions
2005 AMC 10 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 1
149.0 124.0 1 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 5
147.5 122.5 97.5
147.0 122.0 97.0 1 1
146.5 121.5 96.5 1 1
146.0 121.0 96.0 2 2
145.5 120.5 1 95.5 2
145.0 120.0 95.0
144.5 119.5 94.5 1 3
144.0 119.0 94.0 1 1
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 1 92.0
141.5 116.5 91.5 1
141.0 116.0 2 91.0 4 1
140.5 115.5 1 90.5 1
140.0 115.0 1 90.0 3 1
139.5 114.5 1 1 89.5 1
139.0 114.0 89.0 3
138.5 113.5 3 88.5 1
138.0 113.0 88.0
137.5 112.5 87.5 1 2
137.0 112.0 87.0 2 1
136.5 111.5 86.5 2 3
136.0 111.0 86.0 1
135.5 110.5 85.5 4 1
135.0 110.0 1 85.0 1 5
134.5 1 109.5 84.5 2 1
134.0 109.0 84.0 3 1
133.5 108.5 83.5 3 2
133.0 108.0 83.0 4 2
132.5 107.5 82.5 1
132.0 107.0 82.0 3 3
131.5 106.5 1 81.5 1 1
131.0 106.0 1 81.0 2 1
130.5 105.5 80.5 2 2
130.0 1 105.0 2 1 80.0 3 2
129.5 104.5 1 79.5 1 6
129.0 104.0 79.0 3 1
128.5 103.5 78.5 2 1
128.0 103.0 2 78.0 6 3
127.5 102.5 1 1 77.5 7 5
127.0 102.0 2 77.0 1 2
126.5 101.5 1 1 76.5 1 4
126.0 101.0 1 76.0 5 5
125.5 100.5 2 1 75.5 2 5
American Mathematics Competitions
2005 AMC 10 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 3 25.0
74.5 3 1 49.5 1 24.5
74.0 6 4 49.0 24.0
73.5 6 5 48.5 2 23.5
73.0 2 2 48.0 1 23.0
72.5 5 6 47.5 2 22.5
72.0 3 2 47.0 22.0
71.5 5 4 46.5 1 21.5
71.0 5 8 46.0 2 21.0
70.5 2 4 45.5 20.5
70.0 4 9 45.0 4 20.0
69.5 2 44.5 1 19.5
69.0 4 4 44.0 1 1 19.0
68.5 1 6 43.5 1 18.5
68.0 43.0 18.0
67.5 5 4 42.5 17.5
67.0 4 1 42.0 1 1 17.0
66.5 3 3 41.5 1 1 16.5
66.0 1 41.0 1 16.0
65.5 5 3 40.5 15.5
65.0 2 1 40.0 1 15.0
64.5 1 3 39.5 14.5
64.0 6 5 39.0 14.0
63.5 3 2 38.5 13.5
63.0 4 3 38.0 1 13.0
62.5 4 2 37.5 12.5
62.0 2 4 37.0 12.0
61.5 1 1 36.5 11.5
61.0 2 1 36.0 5 11.0
60.5 5 35.5 2 1 10.5
60.0 2 4 35.0 1 10.0
59.5 2 4 34.5 9.5
59.0 2 3 34.0 9.0
58.5 2 2 33.5 8.5
58.0 2 2 33.0 8.0
57.5 1 5 32.5 7.5
57.0 3 32.0 7.0
56.5 1 3 31.5 6.5
56.0 2 2 31.0 6.0
55.5 2 4 30.5 1 5.5
55.0 2 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 2 5 29.0 4.0
53.5 1 1 28.5 1 3.5
53.0 2 2 28.0 3.0
52.5 27.5 2.5
52.0 2 27.0 2.0
51.5 2 26.5 1.5
51.0 2 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
130.0 1
124.0 1
120.5 1
117.0 1
116.0 1 1
115.5 1
115.0 1
114.5 1 1
113.5 3
110.0 1
106.5 1
106.0 1
105.0 3
104.5 1
103.0 1 1
102.5 2
102.0 1 1
101.5 1 1
101.0 1
100.5 2 1
99.5 1
98.5 2
98.0 1 4
97.0 2
96.5 2
96.0 5
95.5 2
94.5 3 2
94.0 1 2
93.5 1
92.5 1
91.5 1
91.0 1 4
90.5 1
90.0 3 2
89.5 1
89.0 3
88.5 1
87.5 2 1
87.0 1 2
86.5 5
86.0 1
85.5 3 3
85.0 4 2
84.5 2 1
84.0 1 4
83.5 2 3
83.0 2 4
82.5 1
82.0 1 2 3
81.5 3
81.0 1 2
80.5 1 3
80.0 2 3
79.5 2 5
79.0 2 2
78.5 2 2
78.0 4 5
77.5 6 6
77.0 3 1
76.5 1 3 1
76.0 4 6
75.5 2 5
75.0 3 1 1
74.5 4
74.0 5 5
73.5 5 6
73.0 1 3
72.5 2 9
72.0 1 4 1
71.5 3 7 1
71.0 1 4 9
70.5 1 5
70.0 5 8
69.5 1 1
69.0 3 6
68.5 3 4
68.0 1
67.5 2 7
67.0 3 2
66.5 2 4
66.0 1
65.5 1 5 1 1
65.0 3
64.5 2 3
64.0 7 3 1
63.5 3 2
63.0 1 6
62.5 1 3 3
62.0 4 2
61.5 1 1
61.0 2 1
60.5 1 1 3
60.0 1 5
59.5 3 4
59.0 1 4
58.5 2 2
58.0 1 3
57.5 2 4
57.0 2 1
56.5 2 2
56.0 2 2
55.5 3 3
55.0 1 1
54.5 1 1
54.0 2 5
53.5 2 1
53.0 2 2
52.0 1 1
51.5 2
51.0 1 1
50.5 2
50.0 3
49.5 1
48.5 1 1
48.0 1
47.5 1 1
46.5 1
46.0 2
45.5 1
45.0 1 3
44.5 1 1
44.0 2 1
43.5 1
42.0 2
41.5 1 1
41.0 1
40.0 1
38.0 1
36.0 1 4
35.5 1 2
35.0 1
30.5 1
30.0 1
28.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Kentucky
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 0.29 0.12 0.33 8.69* 0.37 0.21 0.00
2 0.12 0.19 5.52* 0.12 1.50 2.56 0.00
3 0.10 9.00* 0.31 0.27 0.08 0.25 0.00
4 0.33 1.35* 1.77 0.75 0.77 5.04 0.00
5 5.54* 0.40 3.71 0.13 0.08 0.13 0.00
6 0.37 4.35* 3.79 0.10 0.08 1.33 0.00
7 0.65 3.56* 0.44 0.54 0.62 4.19 0.00
8 1.23 0.21 3.54* 0.15 0.17 4.69 0.00
9 1.29 5.19* 1.04 0.27 0.10 2.12 0.00
10 1.62* 0.48 0.94 0.38 0.06 6.52 0.00
11 0.33 2.38* 0.23 0.71 0.13 6.21 0.00
12 0.21 0.87* 0.48 0.25 0.56 7.63 0.00
13 1.90 0.40 0.23 0.21 0.85* 6.40 0.00
14 0.77 0.58 0.25 0.38 2.23* 5.79 0.00
15 0.42 0.75 0.87 1.15 1.21* 5.60 0.00
16 0.75 0.35 0.71 2.08* 0.12 6.00 0.00
17 0.25 0.42 0.58 1.87* 0.48 6.40 0.00
18 1.54* 1.63 1.17 3.19 0.21 2.25 0.00
19 0.42 0.77 0.75 3.37* 0.52 4.17 0.00
20 0.42* 0.42 0.48 0.48 0.27 7.92 0.00
21 1.52 0.71* 0.31 0.37 0.69 6.40 0.00
22 0.65 0.38 0.29 2.44* 0.54 5.69 0.00
23 0.21 0.31 1.02* 0.87 0.98 6.62 0.00
24 1.15 0.96* 0.21 0.17 0.06 7.44 0.00
25 0.35 0.50 0.79 0.81* 0.17 7.38 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 Kentucky
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 2
149.0 124.0 99.0
148.5 123.5 98.5 5 2
148.0 123.0 1 98.0 1
147.5 122.5 97.5 2
147.0 122.0 1 97.0 4 1
146.5 121.5 96.5
146.0 121.0 96.0 4 2
145.5 120.5 95.5
145.0 120.0 95.0 7 2
144.5 119.5 94.5 2
144.0 119.0 94.0 3
143.5 118.5 1 93.5 1 1
143.0 118.0 1 93.0
142.5 117.5 92.5 9 5
142.0 117.0 92.0 1 1
141.5 116.5 91.5 1 3
141.0 116.0 1 91.0 2
140.5 115.5 90.5 1
140.0 115.0 2 90.0 1
139.5 114.5 89.5 1
139.0 114.0 89.0 9 2
138.5 113.5 3 88.5 1
138.0 113.0 88.0 4 1
137.5 112.5 2 87.5 3 1
137.0 112.0 87.0 3 1
136.5 111.5 1 2 86.5 4 1
136.0 111.0 1 86.0 1
135.5 110.5 85.5 4 3
135.0 110.0 2 85.0 2
134.5 109.5 84.5 6
134.0 109.0 3 84.0 4
133.5 108.5 83.5 4 2
133.0 108.0 1 83.0 11 6
132.5 107.5 1 82.5 3
132.0 107.0 82.0 3 1
131.5 106.5 1 81.5 3
131.0 106.0 81.0 5 4
130.5 105.5 8 1 80.5 10 5
130.0 105.0 80.0 1 3
129.5 104.5 2 79.5 5 3
129.0 104.0 1 79.0 3
128.5 103.5 78.5 5 4
128.0 103.0 2 78.0 6 4
127.5 102.5 77.5 5 1
127.0 102.0 6 2 77.0 9
126.5 101.5 1 76.5 2
126.0 101.0 2 2 76.0 4 2
125.5 2 100.5 1 75.5 4 1
American Mathematics Competitions
2005 AMC 12 A Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 3 50.0 1 25.0
74.5 3 3 49.5 2 24.5
74.0 2 1 49.0 1 3 24.0 1
73.5 2 4 48.5 23.5
73.0 2 2 48.0 4 2 23.0 1
72.5 8 4 47.5 1 22.5
72.0 3 3 47.0 1 22.0
71.5 3 3 46.5 1 2 21.5
71.0 6 4 46.0 1 21.0
70.5 4 2 45.5 1 2 20.5
70.0 4 4 45.0 20.0
69.5 3 2 44.5 2 1 19.5
69.0 1 1 44.0 1 19.0
68.5 1 2 43.5 1 18.5
68.0 1 6 43.0 1 1 18.0
67.5 3 2 42.5 1 17.5
67.0 1 3 42.0 3 17.0
66.5 4 41.5 1 16.5
66.0 3 1 41.0 16.0
65.5 1 3 40.5 15.5
65.0 6 5 40.0 15.0
64.5 5 39.5 14.5
64.0 3 4 39.0 14.0
63.5 2 38.5 13.5 1
63.0 2 1 38.0 1 1 13.0
62.5 5 1 37.5 1 12.5
62.0 2 5 37.0 1 12.0
61.5 1 1 36.5 2 11.5
61.0 2 1 36.0 11.0
60.5 1 35.5 1 10.5
60.0 1 35.0 1 10.0
59.5 3 4 34.5 9.5
59.0 1 3 34.0 1 9.0
58.5 3 33.5 8.5
58.0 5 33.0 8.0
57.5 3 1 32.5 1 7.5
57.0 2 2 32.0 7.0
56.5 5 4 31.5 6.5
56.0 2 4 31.0 6.0
55.5 2 30.5 5.5
55.0 4 30.0 1 5.0
54.5 2 29.5 4.5
54.0 3 3 29.0 4.0
53.5 1 28.5 3.5
53.0 4 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 2 26.5 1 1.5
51.0 26.0 1 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
125.5 2
123.0 1
122.0 1
118.5 1
118.0 1
116.0 1
115.0 1 1
113.5 1 2
112.5 1 1
111.5 1 1 2
111.0 1
110.0 1 1 1
109.0 3
108.0 1
107.5 1
106.5 1
105.5 1 5 3
104.5 1 1 1
104.0 1
103.0 2
102.5 1
102.0 6 2
101.5 1
101.0 3 1
100.5 1
100.0 1
99.5 2
98.5 1 1 3 2
98.0 1
97.5 2
97.0 3 2
96.0 1 2 3
95.0 1 2 1 5
94.5 2
94.0 1 2
93.5 2
92.5 1 9 4 1
92.0 1 1
91.5 1 3
91.0 2
90.5 1 1
90.0 1
89.5 1
89.0 3 2 6
88.5 1
88.0 4 1 1
87.5 2 2
87.0 2 2
86.5 2 3
86.0 1
85.5 3 4
85.0 1 1
84.5 2 4
84.0 2 2
83.5 2 4
83.0 2 10 5
82.5 1 2
82.0 1 3 1
81.5 2 1
81.0 5 4 1
80.5 1 5 9
80.0 2 2
79.5 1 5 2
79.0 2 1
78.5 6 3
78.0 1 5 4
77.5 1 3 2
77.0 1 5 3 1
76.5 1 1
76.0 4 2
75.5 3 2
75.0 1 5 2
74.5 1 1 4
74.0 3
73.5 1 2 3
73.0 2 2
72.5 1 7 4
72.0 1 1 5
71.5 3 3 1
71.0 5 5
70.5 4 2
70.0 3 5 1
69.5 1 4
69.0 3
68.5 2 1
68.0 3 5
67.5 4 1
67.0 1 3
66.5 1 3
66.0 1 1 2
65.5 1 1 2
65.0 2 5 4 1
64.5 1 3 1
64.0 4 3
63.5 1 1 1
63.0 2 1
62.5 1 2 3
62.0 1 4 2
61.5 1 1
61.0 3 1
60.5 1
60.0 1
59.5 2 3 2
59.0 1 3
58.5 1 2 1
58.0 1 4
57.5 2 2
57.0 1 1 2
56.5 1 4 4
56.0 1 4 1
55.5 1 1 1
55.0 2 2
54.5 1 1
54.0 3 3
53.5 1
53.0 1 1 3
52.5 1
52.0 1
51.5 1 1
50.5 1 1
50.0 1
49.5 2
49.0 1 4
48.0 3 3
47.5 1
47.0 1
46.5 2 1
46.0 1
45.5 1 2
44.5 1 2
44.0 1
43.5 1
43.0 2 1
42.5 1
42.0 1 3
41.5 1
38.0 2
37.5 1
37.0 1
36.5 2
35.5 1
35.0 1
34.0 1
32.5 1
30.0 1
26.5 1
26.0 1
24.0 1
23.0 1
13.5 1
American Mathematics Competitions
2005 AMC 12 A Results for Kentucky
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 0.07 0.12 9.32* 0.12 0.27 0.00
2 0.02 9.25* 0.29 0.22 0.08 0.14 0.00
3 0.39 3.54* 1.27 0.71 0.61 3.47 0.00
4 6.64* 0.25 2.88 0.03 0.07 0.12 0.00
5 0.24 6.03* 2.37 0.14 0.14 1.08 0.00
6 0.58 4.36* 0.31 0.41 0.95 3.41 0.00
7 0.95 0.24 6.25* 0.10 0.12 2.34 0.00
8 0.34 0.49 0.34 1.75* 0.19 6.90 0.00
9 2.92* 0.47 0.97 0.36 0.20 5.08 0.00
10 0.44 3.02* 0.12 0.75 0.12 5.56 0.00
11 1.02 0.49 0.41 0.41 3.37* 4.31 0.00
12 1.25 0.24 0.27 3.51* 1.54 3.19 0.00
13 0.15 0.25 0.47 2.78* 0.36 5.98 0.00
14 0.46 0.61 3.22 1.42* 0.36 3.93 0.00
15 0.22 0.29 1.49* 0.92 0.83 6.25 0.00
16 0.27 0.37 0.90 0.53* 0.44 7.49 0.00
17 1.49* 1.41 1.12 0.42 0.37 5.19 0.00
18 0.41* 0.51 0.36 0.32 0.32 8.08 0.00
19 1.00 2.14* 1.05 0.53 1.00 4.29 0.00
20 0.51 0.10 0.29 0.17 0.29* 8.64 0.00
21 0.58 0.47 0.39* 0.15 0.08 8.32 0.00
22 0.47 0.69* 0.39 0.37 0.29 7.78 0.00
23 0.47 0.53* 0.22 0.31 0.64 7.83 0.00
24 0.14 0.20* 0.22 0.34 0.05 9.05 0.00
25 0.49 0.31 0.24* 0.22 0.14 8.61 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 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
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5 2
145.0 120.0 95.0
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 92.0
141.5 116.5 91.5
141.0 116.0 91.0
140.5 115.5 90.5 1
140.0 115.0 90.0
139.5 114.5 89.5 1
139.0 114.0 89.0
138.5 113.5 1 1 88.5
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0 2
133.5 108.5 1 83.5 2
133.0 108.0 83.0 1
132.5 107.5 82.5 1 1
132.0 107.0 82.0 1
131.5 106.5 81.5
131.0 106.0 81.0
130.5 105.5 80.5 2
130.0 105.0 80.0 1
129.5 104.5 79.5 1
129.0 104.0 79.0
128.5 103.5 78.5
128.0 103.0 78.0 1 1
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 1 76.5 1
126.0 101.0 76.0
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 10 B Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 1 49.5 24.5
74.0 49.0 24.0
73.5 1 1 48.5 23.5
73.0 1 1 48.0 23.0
72.5 47.5 22.5
72.0 1 47.0 1 22.0
71.5 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 1 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 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 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 1 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 5.0
54.5 1 29.5 4.5
54.0 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
113.5 2
108.5 1
101.5 1
96.0 1
95.5 2
90.5 1
89.5 1
87.5 1
84.5 1
84.0 2
83.5 2
83.0 1
82.5 1 1
82.0 1
80.5 2
80.0 1
79.5 1
78.0 1 1
76.5 1
74.5 1
73.5 2
73.0 1 1
72.5 1
72.0 1
68.0 1
67.5 1
64.5 1
63.0 1
62.0 1
60.5 1
58.5 1
55.5 1
54.5 1
50.5 1
47.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Kentucky
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 8.64* 0.45 0.23 0.00 0.45 0.23 0.00
2 0.23 0.23 0.23 8.18* 0.23 0.91 0.00
3 0.00 0.68 3.18 5.68* 0.23 0.23 0.00
4 0.68 0.00 0.68 3.18* 0.00 5.45 0.00
5 0.23 0.23 8.41* 0.23 0.45 0.45 0.00
6 0.00 8.64* 0.00 0.45 0.00 0.91 0.00
7 0.68 1.82* 0.00 0.23 0.68 6.59 0.00
8 4.32* 0.23 1.14 0.00 0.23 4.09 0.00
9 0.00 0.68 3.18 5.00* 0.23 0.91 0.00
10 1.59* 1.36 0.68 0.45 0.23 5.68 0.00
11 0.23 0.45 0.00 1.14 1.82* 6.36 0.00
12 0.23 1.59 0.91 0.45 0.00* 6.82 0.00
13 0.45 0.00 2.73* 1.36 0.91 4.55 0.00
14 0.00 0.00 2.27* 1.59 0.68 5.45 0.00
15 1.36 0.45 0.91 3.41* 1.36 2.50 0.00
16 0.45 0.23 0.45 0.68* 0.00 8.18 0.00
17 0.00 1.82* 1.14 0.45 0.23 6.36 0.00
18 0.00 4.55 0.68 3.18* 0.45 1.14 0.00
19 0.91 6.36* 0.23 0.00 0.00 2.50 0.00
20 0.91 0.23 1.36* 0.23 0.91 6.36 0.00
21 0.00* 1.14 0.00 0.23 0.00 8.64 0.00
22 0.23 1.36 0.00* 0.23 0.00 8.18 0.00
23 3.41 0.23 0.68* 0.23 0.23 5.23 0.00
24 0.23 0.00 0.23 0.23 0.91* 8.41 0.00
25 0.00 0.23 3.41* 0.00 0.00 6.36 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 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 3 1
149.0 124.0 99.0 1
148.5 123.5 98.5 2 1
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0 7 1
144.5 119.5 94.5
144.0 119.0 94.0 1
143.5 118.5 1 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5 3 1
142.0 117.0 92.0
141.5 116.5 91.5 1
141.0 116.0 91.0 1
140.5 115.5 90.5 2 4
140.0 115.0 1 90.0 3 1
139.5 114.5 89.5
139.0 114.0 89.0 4
138.5 113.5 88.5
138.0 113.0 88.0 2 1
137.5 112.5 87.5
137.0 112.0 87.0 1
136.5 111.5 1 86.5 1
136.0 111.0 86.0
135.5 110.5 85.5 1 1
135.0 110.0 2 1 85.0
134.5 109.5 84.5 1
134.0 109.0 2 84.0 3 1
133.5 108.5 83.5 2 1
133.0 108.0 2 83.0 3 4
132.5 107.5 82.5
132.0 107.0 82.0 1
131.5 106.5 1 81.5 2
131.0 106.0 81.0 5 3
130.5 105.5 80.5 2
130.0 105.0 80.0 2 1
129.5 104.5 2 79.5 2
129.0 104.0 79.0 1
128.5 103.5 78.5 1
128.0 103.0 1 78.0 3
127.5 102.5 77.5 2
127.0 102.0 3 1 77.0 1
126.5 101.5 1 76.5 1 2
126.0 101.0 4 76.0 2
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 12 B Results for Kentucky
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 50.0 25.0
74.5 1 49.5 24.5
74.0 1 49.0 24.0
73.5 1 48.5 23.5
73.0 1 48.0 23.0
72.5 2 47.5 22.5
72.0 1 47.0 22.0
71.5 1 46.5 21.5
71.0 46.0 1 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 1 44.0 19.0
68.5 43.5 18.5
68.0 1 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 1 1 41.0 16.0
65.5 1 40.5 15.5
65.0 1 40.0 15.0
64.5 1 39.5 14.5
64.0 1 1 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 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 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Kentucky
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
118.5 1
115.0 1
111.5 1
110.0 1 1 1
109.0 1 1
108.0 2
106.5 1
104.5 1 1
103.0 1
102.0 1 2 1
101.5 1
101.0 1 2 1
99.5 2 1 1
99.0 1
98.5 1 2
97.5 1
96.0 1
95.0 1 1 3 3
94.0 1
93.5 2
92.5 2 2
91.5 1
91.0 1
90.5 1 1 2 2
90.0 3 2
89.0 1 1 2
88.0 1 1 1
87.0 1
86.5 1
85.5 1 1
84.5 1
84.0 1 3
83.5 1 1 2
83.0 1 2 4
82.0 1
81.5 1 1
81.0 1 1 2 2 2
80.5 1 1
80.0 2 1
79.5 1 1
79.0 1
78.5 1
78.0 1 2
77.5 2
77.0 1
76.5 1 1 1
76.0 1 1
75.0 2 1
74.5 1
74.0 1
73.5 1
73.0 1
72.5 1 1
72.0 1
71.5 1
69.0 1
68.0 1
67.5 1
66.0 2
65.5 2
65.0 1
64.5 1
64.0 2
63.0 1
61.5 1
54.0 1
46.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Kentucky
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.10* 0.07 0.48 0.07 0.28 0.00 0.00
2 0.21 0.07 0.00 9.03* 0.07 0.62 0.00
3 0.07 0.07 9.03* 0.07 0.14 0.62 0.00
4 0.21 8.55* 0.07 0.21 0.14 0.83 0.00
5 6.76* 0.07 0.55 0.00 0.00 2.62 0.00
6 3.45* 0.48 0.34 0.21 0.14 5.38 0.00
7 1.10 0.55 0.21 2.21* 0.28 5.66 0.00
8 0.55 0.90 4.34* 0.00 0.55 3.66 0.00
9 0.41 7.17* 0.41 0.34 0.00 1.66 0.00
10 0.00 0.21 0.07 1.52 3.66* 4.55 0.00
11 0.55 0.97 0.14 5.52* 0.14 2.69 0.00
12 0.21 0.21 0.48 0.55* 0.07 8.48 0.00
13 0.14 0.21 0.21 1.03* 0.07 8.34 0.00
14 0.34 0.62 0.14 0.14 0.97* 7.79 0.00
15 0.62 0.28 0.07 5.38* 0.41 3.24 0.00
16 0.00 0.07 0.34 0.41* 0.21 8.97 0.00
17 0.48 0.21* 0.14 0.07 0.21 8.90 0.00
18 1.03 0.21 0.21* 0.14 0.07 8.34 0.00
19 0.28 0.00 0.07 0.00 2.07* 7.59 0.00
20 0.00 0.14 4.90* 0.41 1.17 3.38 0.00
21 0.00 0.00 0.21* 0.21 0.00 9.59 0.00
22 0.14 0.34 0.00 0.00 0.14* 9.38 0.00
23 0.07 0.00* 0.00 0.07 0.00 9.86 0.00
24 0.00* 0.07 0.07 0.07 0.00 9.79 0.00
25 0.07* 0.00 0.07 0.00 0.07 9.79 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
