American Mathematics Competitions
2006 AMC 10 A Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 615
Number of unofficial participants: 0
Average score of participants: 79.2
Average score for female students is: 74.5 ( 254 Students)
Average score for male students is: 82.4 ( 332 Students)
Average score for unspecified gender is 83.1 ( 29 Students)
Average score for grade 10 is: 80.7 ( 312 Students)
Average score for grade 9 is: 78.1 ( 275 Students)
Average score for grade 8 and below is: 73.6 ( 23 Students)
Average score with unknown grade: 75.7 ( 5 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 28
Average school winning score 107.77
American Mathematics Competitions
2006 AMC 12 A Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 835
Number of unofficial participants: 0
Average score of participants: 86.9
Average score for female students is: 81.6 ( 348 Students)
Average score for male students is: 90.8 ( 465 Students)
Average score for unspecified gender is 88.8 ( 22 Students)
Average score for grade 12 is: 86.6 ( 367 Students)
Average score for grade 11 is: 86.5 ( 403 Students)
Average score for grade 10 is: 91.2 ( 57 Students)
Average score for grade 9 is: 101.6 ( 5 Students)
Average score with unknown grade: 82.8 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 219
Number of schools returning results 32
Average school winning score 112.55
Average school team score 315.38
American Mathematics Competitions
2006 AMC 10 B Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 251
Number of unofficial participants: 0
Average score of participants: 70.3
Average score for female students is: 67.1 ( 130 Students)
Average score for male students is: 74.5 ( 115 Students)
Average score for unspecified gender is 56.8 ( 6 Students)
Average score for grade 10 is: 70.7 ( 166 Students)
Average score for grade 9 is: 68.0 ( 61 Students)
Average score for grade 8 and below is: 72.7 ( 24 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 8
Number of schools returning results 13
Average school winning score 106.00
American Mathematics Competitions
2006 AMC 12 B Results for Tennessee
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 201
Number of unofficial participants: 0
Average score of participants: 81.4
Average score for female students is: 80.2 ( 86 Students)
Average score for male students is: 82.2 ( 115 Students)
Average score for grade 12 is: 82.7 ( 99 Students)
Average score for grade 11 is: 79.5 ( 91 Students)
Average score for grade 10 is: 84.5 ( 9 Students)
Average score for grade 9 is: 111.0 ( 1 Student)
Average score with unknown grade: 60.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 25
Number of schools returning results 14
Average school winning score 104.93
Average school team score 289.14
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
381.0 1 1
375.0 1 2
363.5 1 3
353.0 1 4
349.0 1 5
348.0 2 6
346.0 1 8
340.5 1 9
340.0 1 10
339.5 2 11
336.5 1 13
335.0 2 14
334.0 1 16
332.0 1 17
331.0 1 18
328.0 1 19
327.0 1 20
324.5 1 21
318.5 1 22
317.5 1 23
310.0 1 24
308.5 1 25
306.5 1 26
303.5 1 27
302.5 1 28
302.0 1 29
301.5 1 30
295.5 1 31
292.5 1 32
290.0 1 1 33
289.0 1 35
284.5 1 36
282.5 1 37
265.5 1 38
264.0 1 39
260.5 1 40
259.0 1 41
253.0 1 42
250.5 1 43
244.0 1 44
184.0 1 45
159.0 1 46
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
143.0 1
139.5 1 1
138.0 1
133.5 1
132.5 1
130.0 1
129.0 1
128.5 1
127.5 1
126.5 3 2
126.0 1
125.5 1
125.0 1
124.0 1
123.0 2
122.0 4 1
120.5 1
119.5 4 1
118.5 6 2
118.0 1 1
117.0 2 1
116.0 7 3 1
115.5 1
115.0 6
114.5 1 1
113.5 4 1 1
113.0 1
112.5 19 2 1
112.0 1
111.5 6 2 1
111.0 4 2 3 1
110.5 1
110.0 12 3 1
109.0 14 1
108.5 2 1
108.0 3 3 3 2
107.5 4 2 1
106.5 17 2
106.0 2
105.5 11 5 2
105.0 2 6
104.5 4 3
104.0 12 1 11
103.5 1
103.0 20 2
102.5 1
102.0 10 4 1
101.5 9 4
101.0 3 3
100.5 24 5 1
100.0 1
99.5 7 2
99.0 4 1
98.5 5 2 1
98.0 14 1 4
97.5 1 3
97.0 15 1 8
96.5 4
96.0 10 1 5 4
95.5 6 5 1
95.0 9 4 4
94.5 15 1 9 2
94.0 2 2 2
93.5 18 1 8 4
93.0 4 2
92.5 7 3 3 1
92.0 17 1 15 2
91.5 3 5 1
91.0 16 1 5 5
90.5 1 5
90.0 12 2 7 1
89.5 6 3
89.0 7 6 2
88.5 9 2 8 2
88.0 2 4 7
87.5 18 3 6 2
87.0 3 2 3 2
86.5 14 3 8 2
86.0 6 5 4
85.5 4 3 2 2
85.0 17 10
84.5 3 2 5
84.0 15 3 15 1
83.5 8 1 4 1
83.0 11 1 5 2
82.5 7 1 7 2
82.0 5 7 4 2
81.5 15 4 7
81.0 11 5 7 2
80.5 11 6 14 4
80.0 5 11
79.5 5 3 12 2
79.0 6 1 8
78.5 4 5 10 3
78.0 10 6 8 4
77.5 2 2 3 2
77.0 11 6 9 4
76.5 5 5 1
76.0 3 7 6 1
75.5 11 2 16 1
75.0 6 5 3 1
74.5 6 2 4 1
74.0 9 5 8 4
73.5 6 4 6 3
73.0 10 1 5 7
72.5 7 4 8 4
72.0 6 2 10 6
71.5 5 7 1
71.0 9 4 6 6
70.5 11 4 5 2
70.0 5 2 4 3
69.5 4 5 3
69.0 3 1 4 2
68.5 7 1 7 2
68.0 7 3 3
67.5 4 2 3 3
67.0 6 1 5 1
66.5 2 1 7 1
66.0 13 5 5 4
65.5 3 6 2
65.0 5 1 9 3
64.5 1 6
64.0 6 4 1
63.5 8 3 2
63.0 2 1 2 3
62.5 1 1 8 1
62.0 2 2 4
61.5 2 1 5 3
61.0 4 1 4 3
60.5 3 2 2 5
60.0 2 2 8 3
59.5 3 4 2
59.0 1 1 5
58.5 4 3
58.0 2 2 3
57.5 1 1 1
57.0 1 2 2
56.5 1 1
56.0 4 4 1
55.5 1 1 3
55.0 1 1 2 1
54.5 3 2 1
54.0 7 2 3
53.5 1 3
53.0 1 1 3
52.5 1 2
52.0 1 3 3
51.5 3 4
51.0 1 3
50.5 2 1 2
50.0 1 2 2
49.5 2 2 6
49.0 2 1 2
48.5 1 1
48.0 2 3 5
47.5 1 2 1
46.5 1
46.0 1 2 3
45.5 1 3
45.0 1 1
44.5 1 2
44.0 1 2 1
43.5 1
43.0 1
42.5 3 1
42.0 3 5
41.5 2 1 1
41.0 1 1
40.5 1
40.0 1
39.5 1 1
39.0 1
37.5 1 1
37.0 3
36.0 1 2 4 1
35.5 1 2
33.0 1
32.5 1
30.5 1
30.0 2
25.0 1
24.0 1
18.0 1
12.0 1
American Mathematics Competitions
2006 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 1 1
149.0 124.0 1 99.0 1
148.5 123.5 98.5 1
148.0 123.0 98.0 2 2
147.5 122.5 97.5
147.0 122.0 97.0 7 1
146.5 121.5 96.5 3 1
146.0 121.0 96.0 3 2
145.5 120.5 95.5 3 2
145.0 120.0 95.0 2 2
144.5 119.5 1 94.5 2 6
144.0 119.0 94.0 2
143.5 118.5 1 93.5 8
143.0 118.0 1 93.0 2
142.5 117.5 92.5 1 1
142.0 117.0 1 1 92.0 10 4
141.5 116.5 91.5 3 2
141.0 116.0 2 91.0 1 4
140.5 115.5 1 90.5 2 3
140.0 115.0 90.0 3 3
139.5 114.5 1 89.5 2 1
139.0 114.0 89.0 2
138.5 113.5 1 88.5 5 2
138.0 113.0 1 88.0 5 1
137.5 112.5 1 1 87.5 3 2
137.0 112.0 87.0 2 1
136.5 111.5 1 86.5 4 4
136.0 111.0 2 1 86.0 3 1
135.5 110.5 85.5 2
135.0 110.0 3 85.0 5 4
134.5 109.5 84.5 2 3
134.0 109.0 1 84.0 10 5
133.5 108.5 1 83.5 4
133.0 108.0 3 83.0 4 1
132.5 107.5 1 1 82.5 4 3
132.0 107.0 82.0 3 1
131.5 106.5 1 1 81.5 5 1
131.0 106.0 2 81.0 3 4
130.5 105.5 1 80.5 9 5
130.0 105.0 4 2 80.0 5 4
129.5 104.5 79.5 4 8
129.0 1 104.0 9 1 79.0 4 4
128.5 1 103.5 78.5 6 3
128.0 103.0 1 1 78.0 6 2
127.5 1 102.5 77.5 3
127.0 102.0 1 77.0 5 4
126.5 2 101.5 2 1 76.5 2 3
126.0 101.0 76.0 4 2
125.5 100.5 5 75.5 6 10
American Mathematics Competitions
2006 AMC 10 A Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 1 1 25.0
74.5 2 2 49.5 1 1 24.5
74.0 2 6 49.0 1 24.0
73.5 2 4 48.5 1 23.5
73.0 2 3 48.0 1 1 23.0
72.5 2 6 47.5 1 1 22.5
72.0 5 5 47.0 22.0
71.5 6 1 46.5 1 21.5
71.0 4 2 46.0 1 1 21.0
70.5 3 2 45.5 20.5
70.0 2 2 45.0 20.0
69.5 2 3 44.5 1 1 19.5
69.0 1 3 44.0 1 1 19.0
68.5 3 4 43.5 18.5
68.0 3 43.0 18.0
67.5 2 42.5 1 2 17.5
67.0 2 3 42.0 3 2 17.0
66.5 6 1 41.5 16.5
66.0 1 4 41.0 1 16.0
65.5 2 4 40.5 15.5
65.0 5 3 40.0 15.0
64.5 2 4 39.5 1 14.5
64.0 3 1 39.0 1 14.0
63.5 3 38.5 13.5
63.0 2 38.0 13.0
62.5 1 6 37.5 1 12.5
62.0 2 37.0 12.0
61.5 2 3 36.5 11.5
61.0 3 1 36.0 2 2 11.0
60.5 2 35.5 10.5
60.0 3 5 35.0 10.0
59.5 2 2 34.5 9.5
59.0 1 34.0 9.0
58.5 2 1 33.5 8.5
58.0 1 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 31.5 6.5
56.0 1 3 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 1 30.0 2 5.0
54.5 1 1 29.5 4.5
54.0 1 29.0 4.0
53.5 2 28.5 3.5
53.0 28.0 3.0
52.5 2 27.5 2.5
52.0 3 27.0 2.0
51.5 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
2006 AMC 10 A Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
129.0 1
128.5 1
127.5 1
126.5 2
125.0 1
124.0 1
119.5 1
118.5 2
118.0 1
117.0 1 1
116.0 2 1
115.5 1
114.5 1
113.5 1
113.0 1
112.5 2
111.5 1
111.0 3
110.5 1
110.0 1 2
109.0 1
108.5 1
108.0 3
107.5 1 1
106.5 1 1
106.0 1 1
105.5 2
105.0 1 5
104.0 1 5 5
103.0 2
102.0 1
101.5 1 3
100.5 1 3 1
99.5 2
99.0 1
98.5 1
98.0 2 2
97.0 4 4
96.5 4
96.0 2 3
95.5 1 4
95.0 3 1
94.5 3 6
94.0 2
93.5 1 1 6
93.0 2
92.5 2 1
92.0 1 6 7 1
91.5 3 2
91.0 2 3
90.5 3 2
90.0 2 5
89.5 1 1 1
89.0 1 1
88.5 5 2 1
88.0 5 2
87.5 1 4 1
87.0 2 1
86.5 4 4
86.0 1 4
85.5 2
85.0 8 2
84.5 1 2 2
84.0 1 4 10
83.5 4
83.0 1 3 1
82.5 3 4
82.0 1 3
81.5 1 3 3
81.0 6 1
80.5 3 11
80.0 9 2
79.5 5 7
79.0 1 3 4
78.5 1 4 5
78.0 4 4
77.5 3
77.0 3 6
76.5 5
76.0 4 2
75.5 1 7 8
75.0 1 1 1
74.5 3 1
74.0 1 3 4
73.5 4 2
73.0 4 1
72.5 5 3
72.0 6 4
71.5 1 4 2
71.0 1 5
70.5 2 3
70.0 1 1 2
69.5 1 4
69.0 1 3
68.5 2 5
68.0 1 2
67.5 1 2
67.0 2 3
66.5 4 3
66.0 1 4
65.5 2 4
65.0 6 3
64.5 4 2
64.0 1 1 2
63.5 2 1
63.0 2
62.5 6 1 1
62.0 1 1
61.5 2 3
61.0 2 2
60.5 1 1
60.0 1 7
59.5 2 2
59.0 1
58.5 3
58.0 2
57.5 1
57.0 2
56.0 4
55.5 1
55.0 1 1
54.5 1 1
54.0 1 1
53.5 1 2
52.5 1 1
52.0 1 1 1
51.0 2 1
50.5 1
50.0 1 1
49.5 1 1
49.0 1
48.5 1
48.0 2 1
47.5 1 1
46.5 1
46.0 2
45.0 1
44.5 1 1
44.0 2
42.5 1 2
42.0 2 3
41.0 1
39.5 1
39.0 1
37.5 1
36.0 1 3
30.5 1
30.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Tennessee
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 9.93* 0.00 0.02 0.02 0.00 0.03 0.00
2 1.50 0.13 3.33* 0.10 1.59 3.35 0.00
3 0.08 8.59* 0.11 0.03 1.06 0.13 0.00
4 2.21 0.15 0.11 0.10 6.99* 0.44 0.00
5 0.21 1.12 0.94 7.22* 0.23 0.28 0.00
6 0.08 8.50* 0.28 0.08 0.05 1.01 0.00
7 7.30* 0.16 0.28 0.44 0.26 1.56 0.00
8 1.07 0.42 0.41 0.15 2.70* 5.25 0.00
9 1.51 1.38 5.93* 0.18 0.29 0.70 0.00
10 0.33 0.18 0.99 2.81 0.81* 4.88 0.00
11 1.84 1.22 1.41* 1.12 0.65 3.76 0.00
12 0.91 0.50 4.62* 0.89 0.39 2.68 0.00
13 0.23 0.96 0.31 5.33* 0.16 3.01 0.00
14 1.63 4.26* 0.28 0.91 0.60 2.33 0.00
15 0.57 0.36 0.47 1.69* 0.62 6.29 0.00
16 0.20 0.26 0.46 0.37* 0.72 8.00 0.00
17 1.90* 0.34 0.20 0.34 0.20 7.02 0.00
18 2.16 0.24 2.94* 0.24 0.24 4.15 0.02
19 0.47 1.89 0.91* 0.18 0.26 6.29 0.00
20 0.42 1.20 0.41 0.39 0.44* 7.14 0.00
21 0.86 0.63 0.37 0.65 1.01* 6.47 0.00
22 0.07 1.02 3.28* 3.90 0.65 1.07 0.00
23 0.59 1.63* 0.26 0.24 0.54 6.75 0.00
24 0.70 0.28* 0.33 0.23 0.28 8.20 0.00
25 2.31 0.86 0.42* 0.50 0.28 5.63 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 Tennessee
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 6 1
149.0 124.0 99.0 4
148.5 123.5 98.5 2 3
148.0 123.0 2 98.0 7 5
147.5 122.5 97.5 1
147.0 122.0 3 1 97.0 7 7
146.5 121.5 96.5
146.0 121.0 96.0 5 5
145.5 120.5 95.5 4 2
145.0 120.0 95.0 4 5
144.5 119.5 3 94.5 6 7
144.0 119.0 94.0 2
143.5 118.5 4 1 93.5 8 7
143.0 1 118.0 1 93.0 1 3
142.5 117.5 92.5 2 4
142.0 117.0 92.0 14 3
141.5 116.5 91.5
141.0 116.0 7 91.0 11 5
140.5 115.5 90.5 1
140.0 115.0 5 1 90.0 4 8
139.5 114.5 89.5 4 2
139.0 114.0 89.0 5 2
138.5 113.5 4 88.5 7 1
138.0 113.0 88.0 1 1
137.5 112.5 13 6 87.5 9 9
137.0 112.0 1 87.0 3
136.5 111.5 6 86.5 7 6
136.0 111.0 4 86.0 6
135.5 110.5 85.5 2 2
135.0 110.0 10 2 85.0 10 7
134.5 109.5 84.5 3
134.0 109.0 9 5 84.0 8 7
133.5 108.5 2 83.5 5 3
133.0 108.0 1 2 83.0 5 6
132.5 1 107.5 3 1 82.5 4 2
132.0 107.0 82.0 3 2
131.5 106.5 13 4 81.5 8 7
131.0 106.0 81.0 4 6
130.5 105.5 6 5 80.5 3 8
130.0 105.0 1 1 80.0 3 2
129.5 104.5 3 1 79.5 3 2
129.0 104.0 9 2 79.0 5 1
128.5 103.5 78.5 2 2
128.0 103.0 15 5 78.0 2 6
127.5 102.5 1 77.5 2
127.0 102.0 5 5 77.0 8 3
126.5 3 101.5 6 3 76.5 2 3
126.0 101.0 1 2 76.0 2 1
125.5 1 100.5 18 6 75.5 5 6
American Mathematics Competitions
2006 AMC 12 A Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 1 25.0
74.5 2 4 49.5 2 24.5
74.0 4 4 49.0 2 24.0
73.5 3 3 48.5 23.5
73.0 4 6 48.0 1 1 23.0
72.5 3 4 47.5 1 22.5
72.0 2 4 47.0 22.0
71.5 2 3 46.5 21.5
71.0 5 4 46.0 1 21.0
70.5 3 8 45.5 20.5
70.0 2 3 45.0 1 20.0
69.5 4 44.5 1 19.5
69.0 1 2 44.0 1 19.0
68.5 1 5 43.5 18.5
68.0 4 3 43.0 18.0
67.5 3 1 42.5 17.5
67.0 3 3 42.0 1 2 17.0
66.5 1 1 41.5 1 1 16.5
66.0 4 9 41.0 16.0
65.5 1 2 40.5 15.5
65.0 4 1 40.0 15.0
64.5 1 39.5 14.5
64.0 3 3 39.0 14.0
63.5 3 5 38.5 13.5
63.0 1 1 38.0 13.0
62.5 37.5 12.5
62.0 2 37.0 12.0 1
61.5 1 1 36.5 11.5
61.0 3 1 36.0 1 11.0
60.5 3 35.5 1 10.5
60.0 1 1 35.0 10.0
59.5 3 34.5 9.5
59.0 1 34.0 9.0
58.5 2 2 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 2 2 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 4 3 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 3 26.5 1.5
51.0 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
132.5 1
126.5 2 1
125.5 1
123.0 1 1
122.0 2 2
119.5 1 1 1 1
118.5 4 2
118.0 1
116.0 1 6
115.0 2 1 3
113.5 1 2 1
112.5 1 5 13
112.0 1
111.5 1 3 2
111.0 1 2 1
110.0 1 5 6
109.0 1 7 6
108.5 1 1
108.0 1 2
107.5 3 1
106.5 7 10
105.5 1 1 6 3
105.0 2
104.5 1 3
104.0 1 7 4
103.0 1 2 12 5
102.5 1
102.0 5 5
101.5 2 4 3
101.0 1 2
100.5 2 12 10
100.0 1
99.5 4 3
99.0 2 2
98.5 1 4
98.0 7 7
97.5 1
97.0 1 11 3
96.0 5 5
95.5 4 2
95.0 1 4 4
94.5 1 7 7
94.0 1 1
93.5 1 6 10 1
93.0 1 2 1
92.5 3 3 1
92.0 1 10 6
91.0 3 7 6
90.5 1
90.0 1 8 3
89.5 3 2 1
89.0 3 4
88.5 1 5 3
88.0 1 1
87.5 8 10
87.0 1 2
86.5 10 4
86.0 1 5
85.5 3 1
85.0 1 11 5
84.5 2 1
84.0 8 7
83.5 2 1 5
83.0 1 5 5
82.5 4 3
82.0 1 2 2
81.5 9 6
81.0 1 2 8
80.5 5 6
80.0 2 3
79.5 4 1
79.0 4 2
78.5 3 1
78.0 1 6 3
77.5 2
77.0 3 2 6
76.5 4 1
76.0 3
75.5 6 5
75.0 1 1 4
74.5 1 3 2
74.0 5 4
73.5 2 4
73.0 5 5
72.5 1 3 3
72.0 5 1
71.5 1 2 2
71.0 1 4 4
70.5 6 5
70.0 2 3
69.5 3 1
69.0 1 2
68.5 1 5 1
68.0 4 3
67.5 3 1
67.0 1 3 2
66.5 2
66.0 2 8 3
65.5 3
65.0 1 3 1
64.5 1
64.0 3 3
63.5 4 4
63.0 1 1
62.5 1
62.0 1 1
61.5 1 1
61.0 2 2
60.5 2 1
60.0 2
59.5 1 2
59.0 1
58.5 1 3
58.0 1 1
57.5 1
57.0 1
56.5 1
56.0 2 2
55.0 1
54.0 2 2 3
53.5 1
53.0 1
52.5 1
52.0 1
51.5 1 2
50.5 1 1
50.0 1
49.5 2
49.0 1 1
48.0 1 1
47.5 1
46.0 1
45.0 1
44.5 1
44.0 1
42.0 2 1
41.5 2
36.0 1
35.5 1
12.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Tennessee
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 9.96* 0.00 0.02 0.00 0.00 0.01 0.00
2 1.33 0.12 5.71* 0.06 0.71 2.06 0.01
3 0.02 8.98* 0.04 0.01 0.89 0.06 0.00
4 1.63 0.11 0.00 0.07 7.84* 0.35 0.00
5 0.18 0.61 0.81 8.06* 0.10 0.24 0.00
6 7.46* 0.11 0.38 0.17 0.35 1.53 0.00
7 0.61 5.74* 0.71 0.61 0.42 1.92 0.00
8 1.05 1.22 6.63* 0.22 0.14 0.73 0.00
9 8.16* 0.14 0.16 0.02 0.25 1.27 0.00
10 0.28 0.11 0.67 3.99 2.02* 2.92 0.01
11 1.83 0.97 3.16* 0.89 0.43 2.71 0.01
12 1.51 5.27* 0.18 0.78 0.30 1.96 0.00
13 0.35 0.12 0.18 0.12 6.40* 2.84 0.00
14 0.05 0.51 5.16* 2.30 0.41 1.57 0.00
15 4.43* 1.75 0.22 0.61 1.65 1.34 0.00
16 0.35 4.90* 0.20 0.19 0.66 3.70 0.00
17 0.34 0.61* 0.63 0.42 0.13 7.87 0.00
18 1.68 0.11 0.16 0.71 0.40* 6.96 0.00
19 0.12 0.12 0.13 0.22 0.36* 9.05 0.00
20 1.80 0.78 0.51* 0.22 0.20 6.49 0.00
21 0.07 0.07 0.44 0.06 0.18* 9.17 0.00
22 0.20 0.16 0.10 0.20* 0.05 9.29 0.00
23 0.08 0.18* 0.14 0.07 0.24 9.28 0.00
24 1.03 0.18 0.18 0.44* 0.12 8.05 0.00
25 0.08 0.25 0.14 0.11 0.19* 9.21 0.01
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 10 B Results for Tennessee
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
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 1 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1 3
145.5 120.5 1 95.5 1
145.0 120.0 95.0
144.5 119.5 94.5 1 1
144.0 119.0 94.0
143.5 118.5 93.5 3 1
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 1 92.0 1 1
141.5 116.5 91.5 1
141.0 116.0 1 91.0 4 1
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 1 114.5 1 89.5
139.0 114.0 89.0
138.5 113.5 88.5 1 1
138.0 1 113.0 88.0
137.5 112.5 1 87.5 2
137.0 112.0 87.0 2
136.5 111.5 86.5 1 1
136.0 111.0 1 86.0 2 2
135.5 110.5 85.5 1 1
135.0 110.0 1 85.0
134.5 109.5 84.5
134.0 109.0 84.0 1
133.5 1 108.5 83.5 1
133.0 108.0 1 1 83.0 2
132.5 107.5 1 82.5 1 1
132.0 107.0 82.0 1 1
131.5 106.5 81.5
131.0 106.0 81.0 2
130.5 105.5 80.5 1 3
130.0 1 105.0 80.0
129.5 104.5 79.5 2
129.0 104.0 79.0
128.5 103.5 1 78.5 3
128.0 103.0 78.0 4
127.5 102.5 77.5 2
127.0 102.0 77.0 4
126.5 101.5 76.5 1
126.0 1 101.0 76.0 1
125.5 100.5 1 75.5 1
American Mathematics Competitions
2006 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 1 1 25.0 1
74.5 1 49.5 1 5 24.5
74.0 3 1 49.0 2 24.0 1
73.5 2 1 48.5 23.5
73.0 5 2 48.0 2 3 23.0
72.5 3 47.5 1 22.5
72.0 4 2 47.0 22.0
71.5 1 46.5 21.5
71.0 3 3 46.0 3 21.0
70.5 1 1 45.5 3 20.5
70.0 3 45.0 20.0
69.5 1 2 44.5 19.5
69.0 1 44.0 1 19.0
68.5 1 43.5 18.5
68.0 2 1 43.0 1 18.0 1
67.5 2 1 42.5 1 17.5
67.0 1 42.0 17.0
66.5 1 41.5 1 16.5
66.0 3 1 41.0 1 16.0
65.5 2 40.5 1 15.5
65.0 2 1 40.0 1 15.0
64.5 39.5 1 14.5
64.0 1 39.0 14.0
63.5 2 38.5 13.5
63.0 3 38.0 13.0
62.5 1 37.5 1 12.5
62.0 1 3 37.0 1 2 12.0
61.5 1 2 36.5 11.5
61.0 1 2 36.0 1 11.0
60.5 3 2 35.5 1 10.5
60.0 3 35.0 10.0
59.5 1 1 34.5 9.5
59.0 5 34.0 9.0
58.5 33.5 8.5
58.0 2 1 33.0 1 8.0
57.5 1 32.5 1 7.5
57.0 2 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 6.0
55.5 2 1 30.5 5.5
55.0 1 30.0 5.0
54.5 1 29.5 4.5
54.0 1 2 29.0 4.0
53.5 28.5 3.5
53.0 3 28.0 3.0
52.5 27.5 2.5
52.0 1 2 27.0 2.0
51.5 1 2 26.5 1.5
51.0 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
139.5 1
138.0 1
133.5 1
130.0 1
126.0 1
122.0 1
120.5 1
117.0 1
116.0 1
114.5 1
112.5 1
111.0 1
110.0 1
108.0 1 1
107.5 1
103.5 1
100.5 1
96.0 1 1 2
95.5 1
94.5 1 1
93.5 1 3
92.5 1
92.0 1 1
91.5 1
91.0 3 2
90.0 1
88.5 2
87.5 2
87.0 1 1
86.5 1 1
86.0 1 3
85.5 1 1
84.0 1
83.5 1
83.0 2
82.5 2
82.0 1 1
81.0 2
80.5 1 1 2
79.5 1 1
78.5 3
78.0 4
77.5 1 1
77.0 1 3
76.5 1
76.0 1
75.5 1
75.0 1
74.5 1
74.0 2 2
73.5 1 2
73.0 7
72.5 4
72.0 1 5
71.5 1
71.0 1 5
70.5 2
70.0 3
69.5 3
69.0 2
68.5 2
68.0 1 1 1
67.5 1 2
67.0 1
66.5 1
66.0 1 3
65.5 1 1
65.0 3
64.0 1
63.5 1 1
63.0 1 2
62.5 1
62.0 2 2
61.5 3
61.0 1 2
60.5 1 4
60.0 1 1 1
59.5 1 1
59.0 1 1 3
58.0 3
57.5 1
57.0 2
56.5 1
56.0 1
55.5 1 1 1
55.0 1
54.5 1
54.0 3
53.0 1 2
52.0 1 2
51.5 1 3
50.5 1 1
50.0 1 1
49.5 3 3
49.0 2
48.0 1 1 3
47.5 1
46.0 2 1
45.5 3
44.0 1
43.5 1
43.0 1
42.5 1
41.5 1
41.0 1
40.5 1
40.0 1
39.5 1
37.5 1
37.0 2 1
36.0 1
35.5 2
33.0 1
32.5 1
25.0 1
24.0 1
18.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Tennessee
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 0.80 0.52 5.50* 1.55 0.72 0.88 0.04
2 5.30* 0.48 0.08 0.24 0.20 3.71 0.00
3 8.13* 0.32 0.00 1.16 0.24 0.16 0.00
4 1.31 1.55 0.36 3.23* 1.95 1.59 0.00
5 0.48 4.74* 1.91 0.56 0.04 2.27 0.00
6 0.40 0.36 3.15 3.78* 0.32 1.99 0.00
7 2.39* 1.31 1.31 0.84 0.52 3.63 0.00
8 1.43 1.27* 0.48 1.04 0.60 5.18 0.00
9 0.12 7.61* 0.12 0.20 0.96 1.00 0.00
10 2.43* 0.48 1.08 0.04 2.39 3.59 0.00
11 0.48 0.36 2.35* 0.12 0.16 6.53 0.00
12 0.24 0.20 0.28 0.48 3.39* 5.42 0.00
13 0.56 0.04 2.03 0.60 2.91* 3.86 0.00
14 0.12 0.24 0.16 1.00* 0.08 8.41 0.00
15 0.60 0.12 1.20* 0.12 0.36 7.61 0.00
16 2.07 0.48 1.59 0.76 1.35* 3.75 0.00
17 3.03 1.04 1.47 2.51* 0.04 1.91 0.00
18 0.44 0.00 0.76 0.32 1.00* 7.49 0.00
19 0.40* 0.20 0.16 0.08 0.12 9.04 0.00
20 0.12 0.24 0.24 0.28 0.56* 8.57 0.00
21 0.44 0.12 0.64* 1.99 0.44 6.37 0.00
22 0.24 0.20 1.51 1.24* 0.08 6.73 0.00
23 0.08 0.44 0.20 0.32* 0.12 8.84 0.00
24 0.16 1.35* 0.48 0.24 0.20 7.57 0.00
25 0.04 1.67* 0.12 1.71 0.52 5.94 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 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
149.0 124.0 99.0
148.5 123.5 98.5 1 1
148.0 123.0 98.0 1
147.5 122.5 97.5 3
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0 3 1
144.5 119.5 94.5 1
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 2 1
142.0 117.0 92.0 1
141.5 116.5 91.5 2 1
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0 1 1
139.5 1 114.5 89.5
139.0 114.0 89.0 5 1
138.5 113.5 1 88.5 1 1
138.0 113.0 88.0 2 2
137.5 112.5 87.5 3
137.0 112.0 87.0 2
136.5 111.5 2 86.5 1 2
136.0 111.0 2 86.0
135.5 110.5 85.5 1 2
135.0 110.0 85.0
134.5 109.5 84.5 1 1
134.0 109.0 84.0 3
133.5 108.5 83.5 1
133.0 108.0 2 1 83.0 1
132.5 107.5 82.5 1
132.0 107.0 82.0 3 4
131.5 106.5 81.5 3 1
131.0 106.0 81.0 3 2
130.5 105.5 3 2 80.5 4 2
130.0 105.0 80.0
129.5 104.5 3 79.5 3
129.0 104.0 1 79.0 1
128.5 103.5 78.5 3 2
128.0 103.0 78.0 3 3
127.5 102.5 77.5 2
127.0 102.0 2 2 77.0 4 2
126.5 101.5 76.5
126.0 101.0 2 1 76.0 4 3
125.5 100.5 75.5 1 1
American Mathematics Competitions
2006 AMC 12 B Results for Tennessee
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 25.0
74.5 1 1 49.5 24.5
74.0 4 1 49.0 24.0
73.5 3 1 48.5 1 23.5
73.0 1 48.0 23.0
72.5 1 3 47.5 22.5
72.0 1 1 47.0 22.0
71.5 46.5 21.5
71.0 3 1 46.0 21.0
70.5 2 2 45.5 1 20.5
70.0 1 1 45.0 20.0
69.5 44.5 19.5
69.0 1 44.0 19.0
68.5 1 43.5 18.5
68.0 43.0 18.0
67.5 1 1 42.5 17.5
67.0 1 42.0 17.0
66.5 1 41.5 1 16.5
66.0 3 2 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 15.0
64.5 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 1 37.5 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 1 36.0 2 11.0
60.5 2 35.5 10.5
60.0 1 1 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 1 30.5 5.5
55.0 1 30.0 5.0
54.5 1 2 29.5 4.5
54.0 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 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 12 B Results for Tennessee
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
113.5 1
111.5 2
111.0 1 1
108.0 1 2
105.5 1 1 3
104.5 3
104.0 1
102.0 2 2
101.0 3
98.5 2
98.0 1
97.5 1 2
97.0 1
96.0 1
95.0 1 3
94.5 1
94.0 2
93.5 1
92.5 2 1
92.0 1
91.5 2 1
91.0 1
90.0 1 1
89.0 3 3
88.5 1 1
88.0 4
87.5 1 1 1
87.0 2
86.5 1 2
85.5 3
84.5 1 1
84.0 3
83.5 1
83.0 1
82.5 1
82.0 3 4
81.5 2 2
81.0 2 3
80.5 3 3
79.5 1 2
79.0 1
78.5 3 2
78.0 3 3
77.5 1 1
77.0 1 3 2
76.0 1 4 2
75.5 1 1
75.0 1 2 2
74.5 2
74.0 2 3
73.5 2 2
73.0 1
72.5 1 3
72.0 1 1
71.0 3 1
70.5 2 2
70.0 2
69.0 1
68.5 1
67.5 1 1
67.0 1
66.5 1
66.0 1 4
65.0 1
63.0 1
62.5 1
61.5 1
61.0 1
60.5 1 1
60.0 1 1
55.5 1
55.0 1
54.5 3
53.0 1
51.0 1
48.5 1
45.5 1
41.5 1
36.0 1 1
American Mathematics Competitions
2006 AMC 12 B Results for Tennessee
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 0.50 0.20 7.16* 1.49 0.50 0.10 0.05
2 7.56* 0.40 0.05 0.10 0.20 1.69 0.00
3 8.46* 0.10 0.05 1.04 0.20 0.15 0.00
4 9.05* 0.35 0.10 0.35 0.00 0.15 0.00
5 6.07* 1.00 0.50 0.15 0.20 2.09 0.00
6 0.05 8.41* 0.10 0.15 0.60 0.70 0.00
7 0.30 8.01* 0.55 0.60 0.30 0.25 0.00
8 0.20 0.30 0.20 0.30 5.92* 3.08 0.00
9 0.10 4.18* 0.35 1.14 0.40 3.83 0.00
10 1.94* 0.05 1.34 0.00 2.79 3.88 0.00
11 0.85 0.05 1.59 0.50 3.58* 3.43 0.00
12 0.50 0.40 0.35 0.30* 0.45 8.01 0.00
13 0.45 0.35 2.24* 0.25 0.35 6.37 0.00
14 0.15 0.40 2.34 1.49* 0.10 5.52 0.00
15 0.20 1.39* 0.55 0.25 0.15 7.46 0.00
16 0.25 0.20 0.55* 0.10 0.25 8.66 0.00
17 0.25 0.20 0.70* 1.19 0.60 7.06 0.00
18 0.40 0.35* 0.70 0.25 0.00 8.31 0.00
19 0.20 1.89* 0.25 1.19 0.45 6.02 0.00
20 0.10 0.25 0.20* 0.10 0.30 9.05 0.00
21 0.00 0.15 0.10* 0.10 0.15 9.50 0.00
22 0.15 0.35* 0.10 0.05 0.00 9.35 0.00
23 0.15 0.20 0.40 0.05 0.05* 9.15 0.00
24 0.20 0.10 0.10* 0.05 0.10 9.45 0.00
25 0.05 0.30* 0.10 0.15 0.00 9.40 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column