American Mathematics Competitions
2005 AMC 10 A Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 534
Number of unofficial participants: 0
Average score of participants: 77.0
Average score for female students is: 73.4 ( 216 Students)
Average score for male students is: 79.7 ( 298 Students)
Average score for unspecified gender is 75.8 ( 20 Students)
Average score for grade 10 is: 80.8 ( 277 Students)
Average score for grade 9 is: 73.0 ( 247 Students)
Average score for grade 8 and below is: 71.4 ( 6 Students)
Average score with unknown grade: 67.5 ( 4 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 23
Average school winning score 101.61
American Mathematics Competitions
2005 AMC 12 A Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 726
Number of unofficial participants: 0
Average score of participants: 80.8
Average score for female students is: 74.7 ( 284 Students)
Average score for male students is: 84.8 ( 409 Students)
Average score for unspecified gender is 83.0 ( 33 Students)
Average score for grade 12 is: 86.4 ( 306 Students)
Average score for grade 11 is: 75.9 ( 378 Students)
Average score for grade 10 is: 83.0 ( 28 Students)
Average score for grade 9 is: 114.3 ( 2 Students)
Average score with unknown grade: 81.6 ( 12 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 92
Number of schools returning results 25
Average school winning score 109.50
Average school team score 301.02
American Mathematics Competitions
2005 AMC 10 B Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 384
Number of unofficial participants: 0
Average score of participants: 80.1
Average score for female students is: 79.2 ( 199 Students)
Average score for male students is: 80.6 ( 182 Students)
Average score for unspecified gender is 102.0 ( 3 Students)
Average score for grade 10 is: 78.7 ( 278 Students)
Average score for grade 9 is: 83.0 ( 101 Students)
Average score for grade 8 and below is: 99.7 ( 3 Students)
Average score with unknown grade: 92.8 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 15
Average school winning score 101.70
American Mathematics Competitions
2005 AMC 12 B Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 484
Number of unofficial participants: 0
Average score of participants: 80.4
Average score for female students is: 77.7 ( 238 Students)
Average score for male students is: 83.0 ( 236 Students)
Average score for unspecified gender is 79.1 ( 10 Students)
Average score for grade 13 is: 73.8 ( 2 Students)
Average score for grade 12 is: 82.8 ( 188 Students)
Average score for grade 11 is: 78.5 ( 280 Students)
Average score for grade 10 is: 92.7 ( 9 Students)
Average score for grade 9 is: 65.3 ( 3 Students)
Average score with unknown grade: 82.0 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 41
Number of schools returning results 21
Average school winning score 106.52
Average school team score 282.48
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
391.0 1 1
368.0 1 2
364.0 1 3
361.0 1 4
348.0 1 5
345.5 1 6
344.5 1 7
342.0 1 8
330.5 1 9
326.0 1 10
325.5 2 11
324.5 1 13
318.5 1 14
316.0 1 15
313.0 1 16
308.5 2 17
308.0 1 1 19
307.0 1 21
304.5 1 22
299.0 1 23
297.5 1 24
297.0 1 25
296.0 1 26
294.0 1 27
293.0 1 28
292.5 1 29
292.0 1 30
291.5 1 31
286.0 1 32
283.0 1 33
282.5 1 34
270.5 1 35
270.0 1 36
266.5 1 37
246.5 1 38
245.0 1 39
243.0 1 40
241.0 1 41
235.5 1 42
219.5 1 43
207.0 1 44
124.0 1 45
97.0 1 46
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
138.0 1
137.0 1
136.0 1
134.5 1
132.5 1
130.0 1
129.0 1
128.5 1
127.5 1
126.5 1
125.5 2
124.0 2 2
123.0 1
122.5 1
122.0 2
121.5 1
120.5 3
119.5 2 1
118.5 1
117.0 1 1
116.0 1 1 1
115.5 1
115.0 1
114.5 1
113.5 3 2 2
113.0 1
112.5 1 1 1
112.0 1
111.5 2 2
111.0 1 2 1
110.0 3 2 3
109.5 1
109.0 5 1 2 1
108.5 1 3
108.0 7 1 1 1
107.5 1 3 2
107.0 1
106.5 7 1 2 1
106.0 1
105.5 7 3 4 2
105.0 2 1
104.5 5 4 1 2
104.0 2 5 3
103.5 1
103.0 7 1 2 5
102.5 1 1
102.0 7 7 2 5
101.5 3 3 3 4
101.0 14 2 1 2
100.5 2 4 4 4
99.5 8 5 2 7
99.0 3
98.5 12 8 1 1
98.0 2 1 5 3
97.5 7 1 2
97.0 6 1 4 8
96.5 1 2
96.0 18 10 8 3
95.5 2 4 2
95.0 17 7 2 3
94.5 2 3 5 5
94.0 5 1 6
93.5 11 4 5 6
93.0 1 1 1
92.5 13 9 4 10
92.0 1 4 3 2
91.5 8 7 3 1
91.0 8 5 3 3
90.5 3 1 1 1
90.0 9 3 6 3
89.5 2 1 5 4
89.0 26 13 6 6
88.5 3 3 4 5
88.0 8 5 15 2
87.5 2 4 6 3
87.0 2 2 3
86.5 16 16 2 4
86.0 1 4 3
85.5 14 10 12 1
85.0 4 3 7 6
84.5 6 4 3 3
84.0 11 13 6 4
83.5 3 5 6 2
83.0 16 18 10 6
82.5 1 3 2 6
82.0 9 12 5 2
81.5 5 9 6 13
81.0 10 4 4 3
80.5 9 12 10 9
80.0 4 1 3 3
79.5 12 11 8 2
79.0 3 2 3 5
78.5 13 7 10 3
78.0 11 11 7 9
77.5 6 7 4 1
77.0 21 12 5 5
76.5 4 4 4 1
76.0 10 10 8 2
75.5 6 6 3 6
75.0 6 4 5 1
74.5 10 9 12 7
74.0 4 3 7 6
73.5 15 7 9 5
73.0 4 3 4 4
72.5 7 4 11 3
72.0 9 8 7 7
71.5 11 5 10 1
71.0 9 7 5 4
70.5 1 5 4 5
70.0 6 6 4 1
69.5 2 5 3 4
69.0 3 4 8 5
68.5 8 6 3 2
68.0 6 3 3 1
67.5 8 1 2 2
67.0 4 2 8 4
66.5 6 4 5 3
66.0 5 8 10 6
65.5 10 6 2 3
65.0 8 10 5 2
64.5 5 3 5 5
64.0 4 4 5 3
63.5 1 3 3 2
63.0 2 3 4
62.5 8 4 5 2
62.0 5 1 1 5
61.5 1 2 4 2
61.0 4 4 3 1
60.5 3 2 3
60.0 11 2 3 2
59.5 3 2 2 2
59.0 5 1 7 1
58.5 3 1 2
58.0 7 3 3
57.5 1 2
57.0 2 1 2 2
56.5 2 1 3
56.0 1 3 2
55.5 1 1 5 1
55.0 6 1 1
54.5 2 2 4 1
54.0 6 3 6 3
53.5 1 1
53.0 2 3
52.5 2 2
52.0 2 4 2
51.5 1 2 3
51.0 2 1 7 1
50.5 1 2
50.0 2 1 2
49.5 1 4
49.0 2 1 1 1
48.5 2 1 2
48.0 5 4 4 4
47.5 1 3
47.0 1 1 2
46.5 1 1
46.0 1 1 1
45.5 1 1
44.5 1 2
43.5 1
43.0 1
42.0 2 1 2
41.5 1
41.0 1
40.5 2 1 2
38.5 1 1
38.0 1
37.5 1
36.0 1 1
35.5 1
35.0 1
34.0 1
33.5 1
33.0 1
31.0 2
30.5 1
30.0 1 2
25.5 2 1
24.0 4
18.5 1
18.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Tennessee
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
149.0 124.0 99.0 3
148.5 123.5 98.5 1
148.0 123.0 98.0 3 2
147.5 122.5 97.5
147.0 122.0 97.0 2 2
146.5 121.5 96.5 1
146.0 121.0 96.0 5 3
145.5 120.5 95.5 2 2
145.0 120.0 95.0 2
144.5 119.5 94.5 3 2
144.0 119.0 94.0 4 2
143.5 118.5 93.5 1 2
143.0 118.0 93.0 1
142.5 117.5 92.5 3 1
142.0 117.0 92.0 3
141.5 116.5 91.5 2 1
141.0 116.0 1 91.0 1 2
140.5 115.5 1 90.5 1
140.0 115.0 90.0 5 1
139.5 114.5 89.5 4 1
139.0 114.0 89.0 3 3
138.5 113.5 1 1 88.5 2 1
138.0 113.0 88.0 11 4
137.5 112.5 1 87.5 4
137.0 112.0 87.0 3
136.5 111.5 2 86.5 1 1
136.0 111.0 2 86.0 1 3
135.5 110.5 85.5 6 5
135.0 110.0 85.0 6 1
134.5 109.5 1 84.5 1 1
134.0 109.0 1 1 84.0 3 2
133.5 108.5 1 83.5 4 2
133.0 108.0 1 83.0 4 5
132.5 107.5 2 1 82.5 2
132.0 107.0 1 82.0 4 1
131.5 106.5 1 1 81.5 4 2
131.0 106.0 81.0 3 1
130.5 105.5 2 2 80.5 7 3
130.0 105.0 2 80.0 3
129.5 104.5 1 79.5 6 2
129.0 104.0 4 1 79.0 2 1
128.5 103.5 1 78.5 5 5
128.0 103.0 1 1 78.0 3 3
127.5 1 102.5 1 77.5 1 3
127.0 102.0 2 77.0 4 1
126.5 1 101.5 2 1 76.5 2 2
126.0 101.0 1 76.0 2 6
125.5 100.5 2 2 75.5 3
American Mathematics Competitions
2005 AMC 10 A Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 3 50.0 1 25.0
74.5 2 10 49.5 1 2 24.5
74.0 4 3 49.0 1 24.0
73.5 5 4 48.5 1 1 23.5
73.0 2 2 48.0 1 3 23.0
72.5 4 5 47.5 3 22.5
72.0 3 3 47.0 1 22.0
71.5 5 5 46.5 1 21.5
71.0 1 4 46.0 21.0
70.5 4 45.5 20.5
70.0 3 1 45.0 20.0
69.5 2 1 44.5 1 1 19.5
69.0 4 4 44.0 19.0
68.5 1 2 43.5 18.5 1
68.0 1 2 43.0 18.0
67.5 1 1 42.5 17.5
67.0 4 4 42.0 17.0
66.5 4 1 41.5 16.5
66.0 5 3 41.0 1 16.0
65.5 2 40.5 1 1 15.5
65.0 1 4 40.0 15.0
64.5 3 2 39.5 14.5
64.0 3 2 39.0 14.0
63.5 2 1 38.5 1 13.5
63.0 1 2 38.0 13.0
62.5 2 3 37.5 12.5
62.0 1 37.0 12.0
61.5 2 1 36.5 11.5
61.0 1 2 36.0 11.0
60.5 2 35.5 10.5
60.0 2 1 35.0 10.0
59.5 1 1 34.5 9.5
59.0 3 4 34.0 1 9.0
58.5 1 33.5 8.5
58.0 1 1 33.0 8.0
57.5 1 1 32.5 7.5
57.0 1 1 32.0 7.0
56.5 1 1 31.5 6.5
56.0 1 2 31.0 2 6.0
55.5 2 3 30.5 5.5
55.0 1 30.0 5.0
54.5 2 2 29.5 4.5
54.0 4 2 29.0 4.0
53.5 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 27.5 2.5
52.0 1 3 27.0 2.0
51.5 3 26.5 1.5
51.0 6 1 26.0 1.0
50.5 1 1 25.5 2 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
127.5 1
126.5 1
116.0 1
115.5 1
113.5 2
112.5 1
111.5 2
111.0 2
109.5 1
109.0 2
108.5 1
108.0 1
107.5 3
107.0 1
106.5 1 1
105.5 4
105.0 2
104.5 1
104.0 1 4
103.5 1
103.0 2
102.5 1
102.0 1 1
101.5 3
101.0 1
100.5 2 2
99.5 2
99.0 3
98.5 1
98.0 5
97.0 1 3
96.5 1
96.0 1 1 6
95.5 4
95.0 2
94.5 2 3
94.0 2 4
93.5 1 4
93.0 1
92.5 4
92.0 1 2
91.5 2 1
91.0 1 2
90.5 1
90.0 2 4
89.5 3 2
89.0 1 5
88.5 3 1
88.0 8 7
87.5 1 5
87.0 1 2
86.5 1 1
86.0 3 1
85.5 5 7
85.0 3 4
84.5 2 1
84.0 3 3
83.5 4 2
83.0 4 6
82.5 2
82.0 4 1
81.5 2 4
81.0 3 1
80.5 4 6
80.0 1 1 1
79.5 6 2
79.0 2 1
78.5 1 5 4
78.0 2 5
77.5 2 2
77.0 2 3
76.5 1 2 1
76.0 3 5
75.5 3
75.0 1 4
74.5 6 6
74.0 3 4
73.5 5 4
73.0 4
72.5 5 6
72.0 3 4
71.5 7 3
71.0 2 3
70.5 1 3
70.0 3 1
69.5 1 2
69.0 6 2
68.5 3
68.0 1 2
67.5 1 1
67.0 4 4
66.5 3 2
66.0 4 4 2
65.5 2
65.0 3 2
64.5 4 1
64.0 4 1
63.5 2 1
63.0 3
62.5 1 4
62.0 1
61.5 2 2
61.0 1 2
60.5 1 1
60.0 2 1
59.5 1 1
59.0 1 2 4
58.5 1
58.0 3
57.5 1 1
57.0 2
56.5 3
56.0 1 2
55.5 3 2
55.0 1
54.5 4
54.0 4 2
53.5 1
53.0 1 1
52.0 2 2
51.5 2 1
51.0 6 1
50.5 1 1
50.0 1
49.5 2 1 1
49.0 1
48.5 2
48.0 4
47.5 1 2
47.0 1
46.5 1
44.5 1 1
41.0 1
40.5 2
38.5 1
34.0 1
31.0 2
25.5 2
18.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Tennessee
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 0.30 0.07 0.37 8.65* 0.36 0.24 0.00
2 0.15 0.06 6.44* 0.02 1.40 1.93 0.00
3 0.00 9.23* 0.30 0.32 0.04 0.11 0.00
4 0.39 2.08* 1.65 0.56 0.41 4.91 0.00
5 5.94* 0.51 3.35 0.09 0.06 0.06 0.00
6 0.37 5.94* 2.53 0.13 0.07 0.96 0.00
7 0.56 4.36* 0.26 0.49 0.43 3.90 0.00
8 0.86 0.19 4.85* 0.04 0.07 3.99 0.00
9 1.18 5.90* 0.82 0.22 0.19 1.69 0.00
10 1.99* 0.30 0.94 0.26 0.11 6.40 0.00
11 0.34 2.21* 0.21 0.75 0.07 6.42 0.00
12 0.30 1.72* 0.41 0.21 0.58 6.78 0.00
13 1.07 0.41 0.36 0.21 1.05* 6.91 0.00
14 0.71 0.36 0.41 0.45 2.19* 5.88 0.00
15 0.32 0.94 0.92 1.35 0.84* 5.64 0.00
16 0.58 0.26 0.75 2.15* 0.13 6.12 0.00
17 0.28 0.24 0.36 1.93* 0.36 6.84 0.00
18 1.29* 2.04 0.79 3.26 0.11 2.51 0.00
19 0.54 0.54 0.56 3.71* 0.37 4.27 0.00
20 0.81* 0.22 0.37 0.41 0.17 8.01 0.00
21 1.14 0.66* 0.19 0.17 0.73 7.12 0.00
22 0.75 0.32 0.30 2.25* 0.43 5.96 0.00
23 0.09 0.41 1.22* 0.73 0.58 6.97 0.00
24 1.22 0.62* 0.22 0.11 0.11 7.72 0.00
25 0.24 0.43 0.51 0.49* 0.04 8.30 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 Tennessee
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 7 1
149.0 124.0 2 99.0
148.5 123.5 98.5 6 5
148.0 123.0 98.0 2
147.5 122.5 97.5 6 1
147.0 122.0 2 97.0 5 1
146.5 121.5 1 96.5
146.0 121.0 96.0 14 4
145.5 120.5 95.5 1 1
145.0 120.0 95.0 15 2
144.5 119.5 1 1 94.5 2
144.0 119.0 94.0 1 4
143.5 118.5 1 93.5 8 2
143.0 118.0 93.0 1
142.5 117.5 92.5 4 7
142.0 117.0 1 92.0 1
141.5 116.5 91.5 4 4
141.0 116.0 1 91.0 5 2
140.5 115.5 90.5 3
140.0 115.0 1 90.0 5 3
139.5 114.5 89.5 1 1
139.0 114.0 89.0 18 8
138.5 113.5 3 88.5 2 1
138.0 1 113.0 88.0 3 5
137.5 112.5 1 87.5 2
137.0 112.0 87.0 1
136.5 111.5 2 86.5 12 3
136.0 111.0 86.0 1
135.5 110.5 85.5 6 7
135.0 110.0 3 85.0 3 1
134.5 109.5 84.5 3 1
134.0 109.0 4 84.0 7 4
133.5 108.5 83.5 1 2
133.0 108.0 6 1 83.0 8 8
132.5 1 107.5 1 82.5 1
132.0 107.0 82.0 7 2
131.5 106.5 6 1 81.5 2 3
131.0 106.0 81.0 5 4
130.5 105.5 7 80.5 6 1
130.0 1 105.0 80.0 3
129.5 104.5 3 1 79.5 5 7
129.0 1 104.0 79.0 1 2
128.5 1 103.5 78.5 3 10
128.0 103.0 4 1 78.0 6 5
127.5 102.5 77.5 2 4
127.0 102.0 5 2 77.0 18 3
126.5 101.5 3 76.5 2 2
126.0 101.0 12 1 76.0 3 7
125.5 2 100.5 1 75.5 3 2
American Mathematics Competitions
2005 AMC 12 A Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 3 50.0 2 25.0
74.5 4 6 49.5 1 24.5
74.0 2 2 49.0 2 24.0 1 3
73.5 6 9 48.5 2 23.5
73.0 1 2 48.0 1 4 23.0
72.5 2 5 47.5 22.5
72.0 4 5 47.0 1 22.0
71.5 2 8 46.5 1 21.5
71.0 5 3 46.0 1 21.0
70.5 1 45.5 1 20.5
70.0 3 2 45.0 20.0
69.5 44.5 19.5
69.0 1 2 44.0 19.0
68.5 3 5 43.5 18.5
68.0 3 2 43.0 1 18.0 1
67.5 2 6 42.5 17.5
67.0 4 42.0 2 17.0
66.5 3 3 41.5 16.5
66.0 2 3 41.0 16.0
65.5 3 7 40.5 1 1 15.5
65.0 6 2 40.0 15.0
64.5 4 1 39.5 14.5
64.0 2 2 39.0 14.0
63.5 1 38.5 1 13.5
63.0 2 38.0 13.0
62.5 4 4 37.5 1 12.5
62.0 2 3 37.0 12.0
61.5 1 36.5 11.5
61.0 3 1 36.0 11.0
60.5 1 2 35.5 10.5
60.0 4 7 35.0 1 10.0
59.5 2 1 34.5 9.5
59.0 1 4 34.0 9.0
58.5 33.5 1 8.5
58.0 2 5 33.0 1 8.0
57.5 1 32.5 7.5
57.0 2 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 5 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 1 4 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 2 27.5 2.5
52.0 2 27.0 2.0
51.5 1 26.5 1.5
51.0 1 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 1
132.5 1
130.0 1
129.0 1
128.5 1
125.5 1 1
124.0 1 1
122.0 1 1
121.5 1
119.5 2
118.5 1
117.0 1
116.0 1
115.0 1
113.5 2 1
112.5 1
111.5 2
110.0 1 2
109.0 5
108.0 4 3
107.5 1
106.5 1 2 4
105.5 2 5
104.5 1 4
103.0 1 3 3
102.0 4 3
101.5 1 2
101.0 5 9
100.5 2
99.5 5 3
98.5 3 8 1
98.0 1 1
97.5 4 3
97.0 1 5
96.0 3 5 10
95.5 1 1
95.0 8 9
94.5 2
94.0 5
93.5 3 7 1
93.0 1
92.5 3 9 1
92.0 1
91.5 1 2 5
91.0 4 4
90.5 2 1
90.0 1 3 4 1
89.5 2
89.0 1 11 14
88.5 2 1
88.0 2 6
87.5 1 1
87.0 1 1
86.5 1 6 9
86.0 1
85.5 2 6 6
85.0 4
84.5 4 2
84.0 1 3 7
83.5 2 1
83.0 4 12
82.5 1
82.0 2 5 2
81.5 4 1
81.0 1 6 3
80.5 6 3
80.0 2 1 1
79.5 1 7 4
79.0 1 2
78.5 8 5
78.0 4 7
77.5 5 1
77.0 1 16 4
76.5 2 2
76.0 1 8 1
75.5 3 2 1
75.0 4 2
74.5 8 2
74.0 2 2
73.5 8 7
73.0 2 1 1
72.5 1 4 2
72.0 1 7 1
71.5 10 1
71.0 1 7 1
70.5 1
70.0 4 2
69.5 1 1
69.0 1 2
68.5 1 4 3
68.0 1 2 2 1
67.5 1 7
67.0 3 1
66.5 4 2
66.0 3 2
65.5 1 5 4
65.0 8
64.5 1 2 2
64.0 3 1
63.5 1
63.0 1 1
62.5 6 2
62.0 3 2
61.5 1
61.0 3 1
60.5 2 1
60.0 9 2
59.5 2 1
59.0 4 1
58.0 6 1
57.5 1
57.0 2
56.5 1 1
56.0 1
55.5 1
55.0 1 5
54.5 1 1
54.0 3 3
52.5 1 1
52.0 1 1
51.5 1
51.0 2
50.5 1
50.0 2
49.5 1
49.0 1 1
48.5 2
48.0 4 1
47.0 1
46.5 1
46.0 1
45.5 1
43.0 1
42.0 2
40.5 2
38.5 1
37.5 1
35.0 1
33.5 1
33.0 1
30.5 1
30.0 1
24.0 4
18.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Tennessee
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 0.04 0.03 0.11 9.59* 0.06 0.18 0.00
2 0.03 9.57* 0.06 0.23 0.01 0.10 0.00
3 0.36 4.82* 1.47 0.39 0.65 2.31 0.00
4 7.38* 0.25 2.27 0.03 0.04 0.03 0.00
5 0.37 7.41* 1.52 0.10 0.03 0.58 0.00
6 0.51 5.84* 0.23 0.37 0.83 2.22 0.00
7 0.59 0.15 7.42* 0.07 0.06 1.71 0.00
8 0.32 0.54 0.32 2.37* 0.22 6.24 0.00
9 4.23* 0.39 0.85 0.34 0.11 4.08 0.00
10 0.39 3.48* 0.12 0.56 0.11 5.33 0.00
11 1.14 0.43 0.26 0.50 3.53* 4.15 0.00
12 0.81 0.32 0.22 4.04* 1.17 3.43 0.01
13 0.19 0.19 0.41 2.80* 0.36 6.05 0.00
14 0.32 0.40 3.25 1.32* 0.45 4.26 0.00
15 0.28 0.47 1.28* 0.83 0.79 6.36 0.00
16 0.43 0.36 0.88 0.74* 0.29 7.30 0.00
17 1.90* 0.79 1.18 0.23 0.44 5.45 0.00
18 0.40* 0.36 0.30 0.26 0.28 8.40 0.00
19 1.03 2.51* 0.63 0.39 0.81 4.63 0.00
20 0.32 0.18 0.12 0.18 0.29* 8.91 0.00
21 0.40 0.47 0.44* 0.28 0.06 8.36 0.00
22 0.32 0.43* 0.32 0.44 0.26 8.24 0.00
23 0.55 0.72* 0.22 0.29 0.51 7.71 0.00
24 0.11 0.25* 0.22 0.25 0.04 9.13 0.00
25 0.29 0.25 0.21* 0.23 0.14 8.88 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 Tennessee
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 5
149.0 124.0 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0 2 1
147.5 122.5 1 97.5 2
147.0 122.0 97.0 5 3
146.5 121.5 96.5 2
146.0 121.0 96.0 1 2
145.5 120.5 2 95.5 2
145.0 120.0 95.0 2 1
144.5 119.5 1 94.5 5
144.0 119.0 94.0
143.5 118.5 93.5 3 3
143.0 118.0 93.0 1
142.5 117.5 92.5 4 6
142.0 117.0 92.0 1 1
141.5 116.5 91.5 1
141.0 116.0 91.0 2 1
140.5 115.5 90.5 1
140.0 115.0 90.0 1 2
139.5 114.5 1 89.5 1 3
139.0 114.0 89.0 4 2
138.5 113.5 1 1 88.5 2 3
138.0 113.0 1 88.0 1 1
137.5 112.5 87.5 2 1
137.0 112.0 1 87.0
136.5 111.5 86.5 2 2
136.0 111.0 1 86.0 3
135.5 110.5 85.5 1
135.0 110.0 2 1 85.0 1 4
134.5 1 109.5 84.5 1 2
134.0 109.0 1 84.0 2 2
133.5 108.5 1 2 83.5 1 1
133.0 108.0 1 83.0 3 3
132.5 107.5 1 1 82.5 4 2
132.0 107.0 82.0 2
131.5 106.5 1 81.5 7 6
131.0 106.0 81.0 3
130.5 105.5 1 1 80.5 7 2
130.0 105.0 1 80.0 1 2
129.5 104.5 2 79.5 1 1
129.0 104.0 3 79.0 2 3
128.5 103.5 78.5 3
128.0 103.0 2 3 78.0 3 6
127.5 102.5 1 77.5 1
127.0 102.0 3 2 77.0 2 3
126.5 101.5 4 76.5 1
126.0 101.0 1 1 76.0 1 1
125.5 100.5 3 75.5 2 4
American Mathematics Competitions
2005 AMC 10 B Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 2 25.0
74.5 4 3 49.5 24.5
74.0 3 3 49.0 1 24.0
73.5 2 3 48.5 23.5
73.0 2 2 48.0 1 3 23.0
72.5 2 1 47.5 22.5
72.0 1 6 47.0 1 1 22.0
71.5 1 46.5 21.5
71.0 1 3 46.0 1 21.0
70.5 2 3 45.5 1 20.5
70.0 1 45.0 20.0
69.5 2 2 44.5 19.5
69.0 3 2 44.0 19.0
68.5 2 43.5 1 18.5
68.0 1 43.0 18.0
67.5 1 1 42.5 17.5
67.0 2 2 42.0 1 1 17.0
66.5 1 2 41.5 1 16.5
66.0 4 2 41.0 16.0
65.5 2 1 40.5 15.5
65.0 2 40.0 15.0
64.5 2 3 39.5 14.5
64.0 3 39.0 14.0
63.5 2 38.5 13.5
63.0 1 3 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 3 2 37.0 12.0
61.5 2 36.5 11.5
61.0 1 36.0 1 11.0
60.5 1 2 35.5 1 10.5
60.0 1 1 35.0 10.0
59.5 1 1 34.5 9.5
59.0 1 34.0 9.0
58.5 2 33.5 8.5
58.0 2 1 33.0 8.0
57.5 32.5 7.5
57.0 1 1 32.0 7.0
56.5 31.5 6.5
56.0 2 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 2 5.0
54.5 1 29.5 4.5
54.0 2 1 29.0 4.0
53.5 1 28.5 3.5
53.0 2 1 28.0 3.0
52.5 27.5 2.5
52.0 1 1 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
122.5 1
120.5 1 2
119.5 1
114.5 1
113.5 2
113.0 1
112.0 1
111.0 1
110.0 1 2
109.0 1
108.5 3
108.0 1
107.5 1 1
106.5 1
105.5 2
105.0 1
104.5 2
104.0 1 2
103.0 1 4
102.5 1
102.0 1 4
101.5 1 3
101.0 1 1
100.5 1 2 1
99.5 1 6
98.5 1
98.0 1 2
97.5 1 1
97.0 2 6
96.5 1 1
96.0 3
95.5 1 1
95.0 2 1
94.5 1 4
93.5 6
93.0 1
92.5 6 4
92.0 2
91.5 1
91.0 3
90.5 1
90.0 1 2
89.5 1 3
89.0 3 3
88.5 5
88.0 2
87.5 1 2
86.5 2 2
86.0 1 2
85.5 1
85.0 5 1
84.5 2 1
84.0 4
83.5 1 1
83.0 4 2
82.5 1 5
82.0 1 1
81.5 7 6
81.0 3
80.5 5 4
80.0 1 2
79.5 1 1
79.0 5
78.5 3
78.0 4 5
77.5 1
77.0 1 4
76.5 1
76.0 2
75.5 2 4
75.0 1
74.5 1 6
74.0 1 5
73.5 1 4
73.0 1 3
72.5 3
72.0 2 5
71.5 1
71.0 1 3
70.5 1 4
70.0 1
69.5 2 2
69.0 5
68.5 2
68.0 1
67.5 2
67.0 4
66.5 3
66.0 1 5
65.5 3
65.0 2
64.5 5
64.0 3
63.5 1 1
63.0 1 3
62.5 2
62.0 5
61.5 1 1
61.0 1
60.5 3
60.0 2
59.5 1 1
59.0 1
58.5 1 1
58.0 1 2
57.0 2
56.0 1 1
55.5 1
54.5 1
54.0 2 1
53.5 1
53.0 2 1
52.0 2
51.0 1
50.0 2
49.0 1
48.0 4
47.0 1 1
46.0 1
45.5 1
43.5 1
42.0 1 1
41.5 1
38.0 1
36.0 1
35.5 1
30.0 2
25.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Tennessee
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 8.67* 0.36 0.44 0.08 0.39 0.05 0.00
2 0.08 0.34 0.13 8.41* 0.26 0.78 0.00
3 0.05 0.76 2.29 5.65* 0.89 0.36 0.00
4 0.83 0.16 0.49 5.08* 0.18 3.26 0.00
5 0.13 0.00 9.04* 0.13 0.44 0.26 0.00
6 0.08 8.57* 0.23 0.21 0.34 0.57 0.00
7 0.63 1.64* 0.36 1.02 1.02 5.34 0.00
8 6.17* 0.21 0.83 0.10 0.16 2.53 0.00
9 0.49 0.57 1.77 5.16* 0.39 1.61 0.00
10 1.77* 0.65 0.78 0.18 0.16 6.46 0.00
11 0.29 0.76 0.05 1.85 2.08* 4.97 0.00
12 0.70 0.99 0.39 0.26 0.18* 7.47 0.00
13 0.81 0.52 1.56* 1.69 0.36 5.05 0.00
14 0.31 0.10 1.93* 1.59 0.73 5.34 0.00
15 1.15 0.52 0.83 4.58* 0.39 2.53 0.00
16 0.34 0.83 0.91 0.34* 0.05 7.53 0.00
17 0.49 3.75* 0.70 0.29 0.13 4.64 0.00
18 0.52 4.97 0.99 1.80* 0.49 1.22 0.00
19 0.52 6.12* 0.29 0.47 0.52 2.08 0.00
20 0.52 0.21 0.99* 0.44 0.16 7.68 0.00
21 0.21* 0.26 0.21 0.29 0.08 8.96 0.00
22 0.68 0.94 0.49* 0.16 0.23 7.50 0.00
23 3.15 0.34 0.39* 0.10 0.13 5.89 0.00
24 0.16 0.34 0.16 0.26 1.41* 7.68 0.00
25 0.36 0.21 3.57* 0.31 0.03 5.52 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 Tennessee
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 2 99.0
148.5 123.5 98.5 4 4
148.0 123.0 1 98.0 1
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 8 2
145.5 120.5 95.5
145.0 120.0 95.0 2 5
144.5 119.5 94.5 1 2
144.0 119.0 94.0 1
143.5 118.5 93.5 1 3
143.0 118.0 93.0
142.5 117.5 92.5 3 5
142.0 117.0 1 92.0 1 3
141.5 116.5 91.5 3 4
141.0 116.0 1 91.0 2 3
140.5 115.5 90.5 1
140.0 115.0 90.0 2 1
139.5 114.5 89.5 1
139.0 114.0 89.0 8 4
138.5 113.5 88.5 1 1
138.0 113.0 88.0 1 4
137.5 112.5 1 87.5 3 1
137.0 1 112.0 87.0 2
136.5 111.5 86.5 11 5
136.0 1 111.0 1 86.0
135.5 110.5 85.5 4 6
135.0 110.0 2 85.0 1 2
134.5 109.5 84.5 4
134.0 109.0 1 84.0 10 3
133.5 108.5 83.5 2 3
133.0 108.0 1 83.0 11 7
132.5 107.5 82.5 2 1
132.0 107.0 82.0 4 7
131.5 106.5 1 81.5 2 6
131.0 106.0 1 81.0 3 1
130.5 105.5 2 1 80.5 6 4
130.0 105.0 80.0 1
129.5 104.5 1 3 79.5 3 8
129.0 104.0 2 79.0 1 1
128.5 103.5 78.5 2 5
128.0 103.0 1 78.0 5 6
127.5 102.5 77.5 6 1
127.0 102.0 6 1 77.0 8 4
126.5 101.5 1 2 76.5 1 3
126.0 101.0 2 76.0 4 6
125.5 100.5 3 1 75.5 3 3
American Mathematics Competitions
2005 AMC 12 B Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 3 50.0 25.0
74.5 3 6 49.5 24.5
74.0 1 2 49.0 1 24.0
73.5 4 3 48.5 1 23.5
73.0 1 2 48.0 1 3 23.0
72.5 1 3 47.5 1 22.5
72.0 4 4 47.0 22.0
71.5 3 2 46.5 21.5
71.0 3 4 46.0 1 21.0
70.5 4 1 45.5 20.5
70.0 4 2 45.0 20.0
69.5 1 4 44.5 1 19.5
69.0 2 2 44.0 19.0
68.5 3 3 43.5 18.5
68.0 1 2 43.0 18.0
67.5 1 42.5 17.5
67.0 1 1 42.0 1 17.0
66.5 2 1 41.5 16.5
66.0 4 4 41.0 16.0
65.5 1 4 40.5 1 15.5
65.0 4 6 40.0 15.0
64.5 1 2 39.5 14.5
64.0 1 2 39.0 14.0
63.5 1 2 38.5 13.5
63.0 38.0 13.0
62.5 3 1 37.5 12.5
62.0 1 37.0 12.0
61.5 1 1 36.5 11.5
61.0 2 2 36.0 1 11.0
60.5 35.5 10.5
60.0 1 1 35.0 10.0
59.5 1 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 2 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 1 30.0 5.0
54.5 1 1 29.5 4.5
54.0 1 2 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 2 27.5 2.5
52.0 27.0 2.0
51.5 2 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
137.0 1
136.0 1
124.0 1 1
123.0 1
117.0 1
116.0 1
112.5 1
111.0 1
110.0 2
109.0 1
108.0 1
106.5 1
106.0 1
105.5 1 2
104.5 2 2
104.0 1 1
103.0 1
102.0 1 2 4
101.5 2 1
101.0 2
100.5 1 3
99.5 1 4
98.5 1 4 3
98.0 1
97.5 1
97.0 1
96.0 1 3 6
95.0 6 1
94.5 3
94.0 1
93.5 2 2
92.5 5 4
92.0 2 2
91.5 5 2
91.0 4 1
90.5 1
90.0 2 1
89.5 1
89.0 10 3
88.5 1 2
88.0 2 3
87.5 2 2
87.0 1 1
86.5 11 5
85.5 6 4
85.0 3
84.5 2 2
84.0 1 7 5
83.5 3 2
83.0 10 8
82.5 1 2
82.0 9 3
81.5 5 3 1
81.0 1 3
80.5 9 3
80.0 1
79.5 7 4
79.0 2
78.5 7
78.0 1 5 5
77.5 4 3
77.0 6 6
76.5 1 3
76.0 7 3
75.5 1 3 2
75.0 3 1
74.5 1 6 2
74.0 2 1
73.5 7
73.0 1 2
72.5 1 3
72.0 1 7
71.5 4 1
71.0 6 1
70.5 2 3
70.0 5 1
69.5 5
69.0 3 1
68.5 2 4
68.0 2 1
67.5 1
67.0 2
66.5 1 2 1
66.0 4 3 1
65.5 3 3
65.0 8 2
64.5 1 2
64.0 3 1
63.5 3
62.5 1 3
62.0 1
61.5 2
61.0 4
60.0 2
59.5 2
59.0 1
58.5 2 1
57.0 1
56.5 1
55.5 1
55.0 1
54.5 1 1
54.0 2 1
52.5 1 1
51.5 2
51.0 1
49.0 1
48.5 1
48.0 1 3
47.5 1
46.0 1
44.5 1
42.0 1
40.5 1
36.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Tennessee
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 9.30* 0.23 0.17 0.06 0.25 0.00 0.00
2 0.08 0.10 0.25 9.15* 0.08 0.33 0.00
3 0.06 0.02 9.19* 0.06 0.33 0.33 0.00
4 0.06 8.90* 0.23 0.23 0.23 0.35 0.00
5 6.74* 0.10 1.01 0.00 0.04 2.11 0.00
6 2.42* 1.01 0.72 0.29 0.39 5.17 0.00
7 0.97 1.84 0.19 1.69* 0.41 4.88 0.02
8 1.38 1.76 3.95* 0.06 1.20 1.65 0.00
9 0.56 7.62* 0.50 0.25 0.19 0.89 0.00
10 0.14 0.43 0.19 2.38 2.71* 4.13 0.02
11 1.38 0.62 0.68 4.46* 0.54 2.31 0.00
12 0.21 0.81 0.60 0.76* 0.04 7.58 0.00
13 0.48 0.35 0.23 1.34* 0.12 7.48 0.00
14 0.76 1.03 1.03 0.31 0.81* 6.05 0.00
15 0.70 0.31 0.31 4.57* 0.50 3.62 0.00
16 0.29 0.17 0.62 0.23* 0.17 8.53 0.00
17 0.39 0.54* 0.31 0.14 0.39 8.22 0.00
18 1.74 0.31 0.52* 0.21 0.14 7.09 0.00
19 0.27 0.17 0.27 0.21 1.78* 7.31 0.00
20 0.14 0.37 3.62* 0.56 2.07 3.24 0.00
21 0.17 0.17 0.48* 0.27 0.23 8.70 0.00
22 0.60 0.68 0.12 0.14 0.14* 8.31 0.00
23 0.08 0.19* 0.12 0.10 0.06 9.44 0.00
24 0.39* 0.17 0.39 0.14 0.14 8.76 0.00
25 0.27* 0.31 0.35 0.14 0.23 8.70 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column