American Mathematics Competitions
2006 AMC 10 A Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1022
Number of unofficial participants: 4
Average score of participants: 78.4
Average score for female students is: 75.5 ( 473 Students)
Average score for male students is: 81.5 ( 497 Students)
Average score for unspecified gender is 75.9 ( 52 Students)
Average score for grade 10 is: 80.2 ( 608 Students)
Average score for grade 9 is: 75.2 ( 381 Students)
Average score for grade 8 and below is: 91.4 ( 16 Students)
Average score with unknown grade: 73.8 ( 17 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 11
Number of schools returning results 40
Average school winning score 103.40
American Mathematics Competitions
2006 AMC 12 A Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1386
Number of unofficial participants: 9
Average score of participants: 84.9
Average score for female students is: 82.0 ( 568 Students)
Average score for male students is: 87.3 ( 765 Students)
Average score for unspecified gender is 82.3 ( 53 Students)
Average score for grade 12 is: 86.6 ( 592 Students)
Average score for grade 11 is: 82.8 ( 669 Students)
Average score for grade 10 is: 91.9 ( 65 Students)
Average score for grade 9 is: 84.3 ( 39 Students)
Average score for grade 8 and below is: 98.9 ( 5 Students)
Average score with unknown grade: 80.9 ( 16 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 243
Number of schools returning results 51
Average school winning score 111.25
Average school team score 308.49
American Mathematics Competitions
2006 AMC 10 B Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1739
Number of unofficial participants: 0
Average score of participants: 65.0
Average score for female students is: 62.2 ( 728 Students)
Average score for male students is: 67.5 ( 877 Students)
Average score for unspecified gender is 64.3 ( 134 Students)
Average score for grade 10 is: 68.3 ( 880 Students)
Average score for grade 9 is: 60.9 ( 769 Students)
Average score for grade 8 and below is: 71.9 ( 47 Students)
Average score with unknown grade: 65.5 ( 43 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 54
Average school winning score 99.12
American Mathematics Competitions
2006 AMC 12 B Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2312
Number of unofficial participants: 0
Average score of participants: 82.4
Average score for female students is: 78.0 ( 935 Students)
Average score for male students is: 86.0 ( 1250 Students)
Average score for unspecified gender is 80.1 ( 127 Students)
Average score for grade 13 is: 93.5 ( 2 Students)
Average score for grade 12 is: 84.2 ( 797 Students)
Average score for grade 11 is: 81.5 ( 1205 Students)
Average score for grade 10 is: 84.3 ( 189 Students)
Average score for grade 9 is: 70.9 ( 47 Students)
Average score for grade 8 and below is: 109.2 ( 3 Students)
Average score with unknown grade: 79.3 ( 69 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 306
Number of schools returning results 63
Average school winning score 111.79
Average school team score 317.45
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
400.5 1 1
392.5 1 1 2
378.5 1 4
367.0 1 1 5
363.5 1 7
362.0 1 2 8
361.0 3 11
360.0 1 14
358.5 1 1 15
357.0 1 17
356.5 1 18
356.0 1 19
355.0 2 20
351.0 1 22
348.0 1 23
347.5 1 24
344.5 2 25
342.5 1 27
340.0 1 5 28
338.5 1 1 34
337.5 1 36
337.0 1 37
335.0 1 38
334.0 2 39
333.5 1 41
332.0 2 42
331.5 1 44
330.0 1 45
326.5 1 46
326.0 1 47
325.0 1 1 48
324.5 1 50
323.5 1 51
322.0 1 52
321.5 1 53
319.5 2 54
318.5 1 1 56
318.0 1 58
317.5 1 59
317.0 1 60
314.5 1 61
314.0 1 62
313.5 1 63
313.0 1 64
312.5 1 65
312.0 2 66
311.0 1 68
310.5 1 69
309.5 1 70
308.0 1 71
306.5 1 72
305.5 1 73
304.5 2 74
303.5 1 76
303.0 1 77
302.0 1 1 78
301.0 1 2 80
297.0 1 83
296.5 1 84
295.0 1 85
294.5 1 1 86
290.5 1 1 88
290.0 1 90
286.0 1 91
285.0 1 92
284.5 1 1 93
284.0 1 95
280.0 1 96
277.0 1 97
275.0 1 98
274.5 1 99
274.0 1 100
273.0 1 101
272.0 1 102
270.5 1 103
270.0 1 104
268.5 1 105
268.0 1 106
261.5 2 107
249.5 1 109
232.5 1 110
222.0 1 111
116.0 1 112
111.0 1 113
97.5 1 114
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
139.5 1
136.0 1 1 1
133.5 1 1
132.5 2 2
131.0 1 1
130.0 2 1
129.0 1 3 1
127.5 1 2 1
126.5 2 1
125.5 2 6
125.0 1
124.0 1 1 2
123.0 2 4 1
122.0 3 3
121.5 1
120.5 2 2 3
119.5 4 5 1 2
118.5 3 5
118.0 1 1
117.0 4 2 1
116.0 7 10
115.0 6 7 1
114.5 1 2 2
113.5 4 7 1 3
112.5 15 14 1 1
111.5 4 9 3
111.0 4 3 2 2
110.5 1
110.0 19 7 7 3
109.0 19 14 1 1
108.5 1 5 1
108.0 8 28 1
107.5 5 1 3
107.0 1 1
106.5 25 10 6 4
106.0 1 1 1
105.5 15 23 3 1
105.0 2 2 5 3
104.5 2 18 1 2
104.0 16 5 7 7
103.5 1
103.0 16 12 3 3
102.5 2 2
102.0 12 38 2 8
101.5 6 2 7 4
101.0 8 41 3 5
100.5 18 11 4 3
100.0 1 1
99.5 20 25 9 7
99.0 2 7 5
98.5 14 49 4 4
98.0 13 8 11 4
97.5 3 13 5
97.0 26 19 7 2
96.5 3 3
96.0 20 40 9 7
95.5 14 5 7 1
95.0 17 70 7 8
94.5 19 9 8 2
94.0 6 16 4 2
93.5 18 31 8 10
93.0 4 3 1
92.5 21 53 11 10
92.0 13 3 11 3
91.5 11 35 6 4
91.0 21 15 12 7
90.5 6 16 2 2
90.0 22 42 15 14
89.5 6 3 3 3
89.0 26 100 14 9
88.5 25 10 7 8
88.0 8 35 7 7
87.5 26 29 13 15
87.0 10 14 11 2
86.5 36 54 16 7
86.0 14 4 9 13
85.5 13 41 11 6
85.0 21 13 17 9
84.5 7 27 12 5
84.0 25 28 23 15
83.5 9 11 14 6
83.0 31 66 13 15
82.5 16 6 14 7
82.0 13 43 10 10
81.5 18 25 15 14
81.0 15 22 12 5
80.5 19 43 11 24
80.0 18 10 13 10
79.5 15 42 10 10
79.0 12 17 10 13
78.5 18 35 12 8
78.0 18 31 17 21
77.5 18 15 10 7
77.0 24 43 22 19
76.5 13 10 12 6
76.0 14 17 14 18
75.5 16 13 17 19
75.0 11 28 13 11
74.5 19 33 13 20
74.0 12 16 11 13
73.5 8 27 13 16
73.0 12 18 13 8
72.5 13 32 17 16
72.0 12 25 16 18
71.5 14 19 10 15
71.0 15 37 7 20
70.5 5 18 12 19
70.0 11 20 10 21
69.5 9 10 9 16
69.0 11 15 16 12
68.5 10 25 3 21
68.0 7 17 8 28
67.5 8 15 7 27
67.0 9 12 12 18
66.5 10 13 12 23
66.0 13 19 16 24
65.5 7 13 6 18
65.0 10 28 8 24
64.5 5 12 7 20
64.0 8 21 5 20
63.5 7 14 13 13
63.0 3 14 6 14
62.5 9 12 11 28
62.0 8 8 8 18
61.5 5 9 5 18
61.0 5 7 3 12
60.5 9 7 4 14
60.0 4 18 13 21
59.5 5 10 6 15
59.0 2 8 5 31
58.5 6 11 5 15
58.0 3 8 6 23
57.5 5 4 8 17
57.0 5 9 8 19
56.5 3 4 6 15
56.0 6 9 1 17
55.5 1 7 1 23
55.0 2 6 7 22
54.5 2 2 13
54.0 5 8 6 29
53.5 1 5 1 17
53.0 3 3 26
52.5 1 3 6 12
52.0 3 1 10
51.5 2 6 4 16
51.0 3 1 10
50.5 2 2 2 18
50.0 6 1 9
49.5 2 4 2 22
49.0 2 2 16
48.5 3 4 16
48.0 2 6 6 24
47.5 5 2 9
47.0 2 2 14
46.5 1 7
46.0 1 2 11
45.5 2 1 1 11
45.0 3 6
44.5 3 14
44.0 3 1 7
43.5 1 10
43.0 2 1 10
42.5 3 2
42.0 2 12 6 17
41.5 1 7
41.0 2 1 8
40.5 2 1 5
40.0 2 3
39.5 1 8
39.0 1 1 1 6
38.5 1 1 1 1
38.0 1 4
37.5 2
37.0 1 2
36.5 1 1 3
36.0 3 4 2 5
35.5 5
35.0 1 8
34.5 6
34.0 1
33.5 4
33.0 1 1 4
32.5 1
32.0 4
31.5 2
31.0 2
30.5 1 1 3
30.0 2 1 2
29.5 4
28.5 1 4
28.0 2
27.5 1 1
27.0 3
26.5 1
26.0 5
25.5 2
25.0 1
24.5 2
24.0 2 2 3
23.5 1 2
22.0 1
21.0 1
20.5 3
19.5 1
18.0 5
17.0 1
12.0 5
8.5 1
6.0 3
1
American Mathematics Competitions
2006 AMC 10 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0 1
149.5 124.5 99.5 8 1
149.0 124.0 2 99.0 5 2
148.5 123.5 98.5 1 3
148.0 123.0 98.0 8 3
147.5 122.5 97.5 3 2
147.0 122.0 97.0 6 1
146.5 121.5 96.5 3
146.0 121.0 96.0 5 3
145.5 120.5 3 95.5 7
145.0 120.0 95.0 3 4
144.5 119.5 1 94.5 5 3
144.0 119.0 94.0 2 2
143.5 118.5 93.5 3 4
143.0 118.0 1 93.0 2 1
142.5 117.5 92.5 4 5
142.0 117.0 92.0 7 4
141.5 116.5 91.5 3 3
141.0 116.0 91.0 5 7
140.5 115.5 90.5 1
140.0 115.0 90.0 10 5
139.5 114.5 2 89.5 2 1
139.0 114.0 89.0 7 6
138.5 113.5 1 88.5 4 3
138.0 113.0 88.0 6
137.5 112.5 1 87.5 10 2
137.0 112.0 87.0 6 4
136.5 111.5 86.5 7 8
136.0 1 111.0 2 86.0 7 2
135.5 110.5 1 85.5 5 6
135.0 110.0 5 2 85.0 7 8
134.5 109.5 84.5 6 5
134.0 109.0 1 84.0 10 12
133.5 108.5 3 2 83.5 7 7
133.0 108.0 83.0 5 8
132.5 107.5 2 1 82.5 6 7
132.0 107.0 82.0 5 4
131.5 106.5 4 1 81.5 6 7
131.0 106.0 1 81.0 7 5
130.5 105.5 3 80.5 7 4
130.0 1 105.0 5 80.0 6 7
129.5 104.5 1 79.5 6 4
129.0 1 104.0 5 1 79.0 8 2
128.5 103.5 78.5 5 6
128.0 103.0 2 1 78.0 6 11
127.5 2 102.5 1 1 77.5 5 5
127.0 102.0 2 77.0 12 7
126.5 101.5 2 4 76.5 5 6
126.0 101.0 1 1 76.0 6 7
125.5 100.5 1 2 75.5 11 6
American Mathematics Competitions
2006 AMC 10 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 7 50.0 1 25.0
74.5 5 7 49.5 1 24.5
74.0 4 7 49.0 1 24.0
73.5 7 6 48.5 2 2 23.5
73.0 5 7 48.0 4 1 23.0
72.5 8 9 47.5 2 22.5
72.0 10 6 47.0 22.0
71.5 8 46.5 21.5
71.0 3 4 46.0 1 21.0
70.5 4 8 45.5 1 20.5
70.0 6 4 45.0 20.0
69.5 4 4 44.5 19.5
69.0 6 7 44.0 1 19.0
68.5 1 2 43.5 1 18.5
68.0 4 4 43.0 1 18.0
67.5 6 42.5 17.5
67.0 5 6 42.0 3 2 17.0
66.5 6 6 41.5 16.5
66.0 8 6 41.0 1 16.0
65.5 4 2 40.5 1 15.5
65.0 2 6 40.0 2 15.0
64.5 3 4 39.5 14.5
64.0 1 4 39.0 1 14.0
63.5 4 8 38.5 1 13.5
63.0 3 3 38.0 1 13.0
62.5 2 8 37.5 12.5
62.0 5 3 37.0 12.0
61.5 5 36.5 1 11.5
61.0 1 2 36.0 1 11.0
60.5 1 3 35.5 10.5
60.0 4 8 35.0 10.0
59.5 3 3 34.5 9.5
59.0 2 3 34.0 9.0
58.5 1 4 33.5 8.5
58.0 3 3 33.0 1 8.0
57.5 3 5 32.5 7.5
57.0 4 3 32.0 7.0
56.5 1 5 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 5 30.0 5.0
54.5 1 1 29.5 4.5
54.0 3 3 29.0 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 2 4 27.5 2.5
52.0 1 27.0 2.0
51.5 2 2 26.5 1.5
51.0 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
136.0 1
130.0 1
129.0 1
127.5 1 1
125.0 1
124.0 1 1
120.5 1 2
119.5 1
118.0 1
114.5 2
113.5 1
112.5 1
111.0 2
110.5 1
110.0 1 6
109.0 1
108.5 1 2 2
107.5 1 2
106.5 3 3
106.0 1
105.5 3
105.0 1 4
104.5 1
104.0 1 5 1
103.0 3
102.5 1 1
102.0 2
101.5 2 5
101.0 3
100.5 2 2
100.0 1
99.5 1 8
99.0 3 4
98.5 4
98.0 4 7
97.5 3 2
97.0 1 6
96.5 1 2
96.0 2 7
95.5 1 6
95.0 3 4
94.5 3 5
94.0 1 3
93.5 3 5
93.0 3
92.5 7 3 1
92.0 4 7
91.5 5 1
91.0 2 10
90.5 2
90.0 4 11
89.5 1 1 1
89.0 8 6
88.5 3 4
88.0 1 2 4
87.5 3 10
87.0 2 9
86.5 4 11 1
86.0 1 3 5
85.5 1 3 7
85.0 4 11 2
84.5 6 6
84.0 1 8 13 1
83.5 3 11
83.0 2 11
82.5 1 4 9
82.0 6 4
81.5 9 6
81.0 3 9
80.5 4 7
80.0 1 3 9
79.5 1 4 5
79.0 4 6
78.5 1 1 10
78.0 6 11
77.5 3 7
77.0 8 14
76.5 2 9 1
76.0 1 13
75.5 10 7
75.0 6 7
74.5 5 7 1
74.0 2 9
73.5 3 10
73.0 3 10
72.5 4 13
72.0 9 7
71.5 3 7
71.0 3 4
70.5 6 6
70.0 1 4 5
69.5 3 5 1
69.0 8 8
68.5 1 2
68.0 3 5
67.5 5 2
67.0 1 4 6 1
66.5 7 5
66.0 8 8
65.5 4 2
65.0 4 4
64.5 3 4
64.0 1 2 2
63.5 7 5 1
63.0 1 5
62.5 4 7
62.0 5 2 1
61.5 4 1
61.0 2 1
60.5 4
60.0 9 4
59.5 2 4
59.0 3 2
58.5 3 2
58.0 4 2
57.5 4 4
57.0 5 3
56.5 6
56.0 1
55.5 1
55.0 4 2 1
54.5 2
54.0 2 4
53.5 1
52.5 2 4
52.0 1
51.5 2 2
50.5 2
50.0 1
49.5 1 1
49.0 1 1
48.5 2 2
48.0 4 2
47.5 1 1
46.0 1 1
45.5 1
44.0 1
43.5 1
43.0 1
42.0 3 3
41.0 1
40.5 1
40.0 1 1
39.0 1
38.5 1
38.0 1
36.5 1
36.0 1 1
33.0 1
30.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Minnesota
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.95* 0.01 0.00 0.03 0.01 0.00 0.00
2 1.06 0.14 2.50* 0.12 1.88 4.31 0.00
3 0.04 8.37* 0.09 0.04 1.36 0.11 0.00
4 2.45 0.10 0.08 0.13 6.80* 0.45 0.00
5 0.20 0.88 1.16 7.04* 0.23 0.50 0.00
6 0.14 8.08* 0.38 0.10 0.03 1.27 0.00
7 7.55* 0.08 0.27 0.27 0.21 1.61 0.00
8 1.08 0.33 0.42 0.14 2.07* 5.96 0.00
9 1.74 1.39 5.51* 0.18 0.24 0.94 0.00
10 0.29 0.26 0.75 2.64 0.71* 5.33 0.00
11 1.60 1.27 1.19* 0.65 0.82 4.46 0.00
12 0.54 0.33 4.79* 1.10 0.39 2.85 0.00
13 0.37 0.86 0.27 4.86* 0.14 3.49 0.00
14 1.78 3.80* 0.20 0.96 0.56 2.71 0.00
15 0.73 0.25 0.47 1.46* 0.55 6.54 0.00
16 0.30 0.23 0.24 0.30* 0.70 8.22 0.00
17 1.94* 0.32 0.19 0.33 0.19 7.04 0.00
18 1.78 0.13 2.78* 0.25 0.20 4.86 0.00
19 0.41 1.61 0.56* 0.35 0.22 6.85 0.00
20 0.38 0.93 0.29 0.37 0.38* 7.63 0.01
21 0.77 0.52 0.24 0.42 1.05* 7.00 0.00
22 0.06 0.96 2.95* 3.54 0.74 1.74 0.00
23 0.56 1.53* 0.20 0.21 0.65 6.87 0.00
24 0.79 0.24* 0.29 0.29 0.23 8.14 0.00
25 1.95 0.65 0.39* 0.33 0.26 6.42 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 Minnesota
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 14 4
149.0 124.0 1 99.0 2
148.5 123.5 98.5 9 5
148.0 123.0 2 98.0 10 3
147.5 122.5 97.5 3
147.0 122.0 3 97.0 16 9
146.5 121.5 96.5 3
146.0 121.0 96.0 10 10
145.5 120.5 2 95.5 10 4
145.0 120.0 95.0 13 4
144.5 119.5 4 94.5 14 4
144.0 119.0 94.0 4 2
143.5 118.5 3 93.5 10 8
143.0 1 118.0 93.0 4
142.5 117.5 92.5 13 8
142.0 117.0 4 92.0 9 4
141.5 116.5 91.5 6 4
141.0 116.0 4 3 91.0 14 6
140.5 115.5 90.5 2 4
140.0 115.0 2 4 90.0 11 8
139.5 114.5 89.5 3 2
139.0 114.0 89.0 16 9
138.5 113.5 4 88.5 14 11
138.0 113.0 88.0 6 2
137.5 112.5 11 3 87.5 17 9
137.0 112.0 87.0 4 6
136.5 111.5 4 86.5 16 17
136.0 1 111.0 3 86.0 9 5
135.5 110.5 85.5 4 8
135.0 110.0 10 8 85.0 10 10
134.5 109.5 84.5 3 3
134.0 109.0 12 5 84.0 11 12
133.5 1 108.5 1 83.5 5 4
133.0 108.0 7 1 83.0 23 7
132.5 2 107.5 5 82.5 9 7
132.0 107.0 82.0 7 6
131.5 106.5 16 8 81.5 8 10
131.0 1 106.0 81.0 7 8
130.5 105.5 8 7 80.5 12 7
130.0 2 105.0 1 1 80.0 12 6
129.5 104.5 1 1 79.5 6 8
129.0 1 104.0 10 6 79.0 8 3
128.5 103.5 78.5 7 10
128.0 103.0 13 2 78.0 10 7
127.5 102.5 77.5 6 10
127.0 102.0 6 6 77.0 13 11
126.5 101.5 5 1 76.5 9 3
126.0 101.0 4 3 76.0 6 7
125.5 2 100.5 8 9 75.5 10 5
American Mathematics Competitions
2006 AMC 12 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 8 50.0 25.0
74.5 7 11 49.5 2 24.5
74.0 6 6 49.0 24.0 2
73.5 5 3 48.5 23.5
73.0 8 4 48.0 1 1 23.0
72.5 2 11 47.5 22.5
72.0 8 3 47.0 1 1 22.0
71.5 6 8 46.5 21.5
71.0 7 8 46.0 21.0
70.5 4 1 45.5 2 20.5
70.0 5 6 45.0 20.0
69.5 5 4 44.5 19.5
69.0 5 6 44.0 19.0
68.5 7 3 43.5 18.5
68.0 4 3 43.0 2 18.0
67.5 5 3 42.5 17.5
67.0 3 5 42.0 1 17.0
66.5 5 5 41.5 1 16.5
66.0 10 3 41.0 16.0
65.5 2 5 40.5 15.5
65.0 3 7 40.0 15.0
64.5 4 1 39.5 14.5
64.0 2 5 39.0 1 14.0
63.5 4 2 38.5 1 13.5
63.0 1 2 38.0 13.0
62.5 4 4 37.5 12.5
62.0 4 4 37.0 12.0
61.5 2 2 36.5 11.5
61.0 2 3 36.0 3 11.0
60.5 1 8 35.5 10.5
60.0 3 1 35.0 10.0
59.5 3 1 34.5 9.5
59.0 1 1 34.0 9.0
58.5 2 4 33.5 8.5
58.0 2 1 33.0 8.0
57.5 2 3 32.5 7.5
57.0 2 3 32.0 7.0
56.5 1 2 31.5 6.5
56.0 2 2 31.0 6.0
55.5 1 30.5 5.5
55.0 1 1 30.0 1 5.0
54.5 29.5 4.5
54.0 3 2 29.0 4.0
53.5 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 2 26.5 1.5
51.0 1 2 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
136.0 1
133.5 1
132.5 1 1
131.0 1
130.0 1 1
129.0 1
125.5 1 1
124.0 1
123.0 2
122.0 3
120.5 2
119.5 1 3
118.5 1 2
117.0 1 1 2
116.0 1 1 5
115.0 4 2
113.5 1 2 1
112.5 3 12
111.5 3 1
111.0 1 1 2
110.0 5 13 1
109.0 2 2 6 9
108.5 1
108.0 1 1 6
107.5 1 2 2
106.5 1 1 12 10 1
105.5 2 5 8
105.0 1 1
104.5 1 1
104.0 3 4 9
103.5 1
103.0 2 7 7
102.0 2 4 6
101.5 4 2
101.0 2 2 3 1
100.5 1 3 6 8
99.5 1 1 1 5 12
99.0 2
98.5 1 1 8 4
98.0 1 3 9
97.5 1 2
97.0 2 2 10 11 1
96.5 1 2
96.0 10 10
95.5 8 6
95.0 2 9 6
94.5 9 9 1
94.0 2 4
93.5 1 2 8 7
93.0 1 1 2
92.5 12 9
92.0 1 1 6 5
91.5 1 1 5 4
91.0 15 6
90.5 2 4
90.0 3 2 8 9
89.5 2 3 1
89.0 14 11 1
88.5 2 16 7
88.0 1 6 1
87.5 1 1 11 13
87.0 1 2 7
86.5 2 2 13 17 2
86.0 3 7 4
85.5 6 6 1
85.0 1 8 12
84.5 3 4
84.0 1 1 16 7
83.5 3 6
83.0 2 12 17
82.5 1 11 4
82.0 7 6
81.5 2 1 10 5
81.0 1 6 8
80.5 12 7
80.0 6 12
79.5 8 7
79.0 7 5
78.5 11 6 1
78.0 1 10 7
77.5 1 7 10
77.0 1 1 14 8
76.5 2 8 3
76.0 10 4
75.5 11 5
75.0 5 6
74.5 1 1 13 4
74.0 1 1 6 4
73.5 1 5 2
73.0 1 7 4
72.5 8 5
72.0 1 1 5 5
71.5 2 5 7
71.0 1 1 8 5
70.5 3 2
70.0 7 4
69.5 7 2
69.0 7 4
68.5 5 5
68.0 3 4
67.5 6 2
67.0 1 3 5
66.5 1 8 1
66.0 1 5 7
65.5 5 2
65.0 4 6
64.5 3 1 1
64.0 1 5 2
63.5 3 4
63.0 1 2
62.5 3 5 1
62.0 4 4
61.5 1 3 1
61.0 4 1
60.5 7 2
60.0 2 2
59.5 2 2 1
59.0 1 1
58.5 2 4
58.0 2 1
57.5 3 2
57.0 2 3
56.5 3
56.0 3 3
55.5 1
55.0 1 1
54.0 1 2 2
53.5 1
53.0 2 1
52.5 1
51.5 2
51.0 3
50.5 1 1
49.5 2
48.0 1 1
47.0 2
45.5 2
43.0 1 1
42.0 1 1
41.5 1
39.0 1
38.5 1
36.0 1 2
30.0 1 1
24.0 1 1
American Mathematics Competitions
2006 AMC 12 A Results for Minnesota
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 9.94* 0.01 0.01 0.04 0.00 0.00 0.00
2 0.96 0.12 4.08* 0.06 0.88 3.90 0.00
3 0.04 8.79* 0.03 0.01 1.02 0.10 0.00
4 1.86 0.09 0.06 0.10 7.38* 0.51 0.00
5 0.18 0.61 0.92 7.75* 0.13 0.41 0.00
6 7.55* 0.06 0.28 0.26 0.16 1.70 0.00
7 0.66 5.06* 0.76 0.48 0.33 2.72 0.00
8 0.92 1.15 6.51* 0.29 0.13 1.01 0.00
9 7.98* 0.16 0.05 0.06 0.28 1.47 0.00
10 0.20 0.08 0.78 3.35 1.38* 4.21 0.00
11 1.41 1.00 2.37* 0.94 0.43 3.84 0.01
12 1.39 5.18* 0.14 0.63 0.22 2.45 0.00
13 0.38 0.07 0.17 0.09 5.56* 3.72 0.00
14 0.08 0.64 5.12* 2.07 0.32 1.76 0.00
15 3.13* 1.39 0.32 0.45 1.51 3.20 0.01
16 0.25 3.56* 0.17 0.14 0.45 5.43 0.00
17 0.27 0.48* 0.42 0.32 0.09 8.43 0.00
18 1.00 0.08 0.29 0.56 0.35* 7.73 0.00
19 0.09 0.10 0.16 0.09 0.21* 9.35 0.00
20 1.83 0.46 0.38* 0.20 0.13 7.00 0.00
21 0.03 0.09 0.35 0.06 0.19* 9.28 0.00
22 0.12 0.08 0.07 0.10* 0.04 9.60 0.00
23 0.06 0.09* 0.12 0.08 0.17 9.49 0.00
24 0.84 0.17 0.14 0.29* 0.12 8.44 0.00
25 0.10 0.09 0.12 0.10 0.12* 9.46 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 10 B Results for Minnesota
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 5 2
149.0 124.0 99.0 3 1
148.5 123.5 98.5 3
148.0 123.0 1 98.0 3 1
147.5 122.5 97.5
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 4 2
145.5 120.5 95.5 1
145.0 120.0 95.0 5 2
144.5 119.5 1 1 94.5 1
144.0 119.0 94.0 2
143.5 118.5 93.5 7 2
143.0 118.0 93.0 1
142.5 117.5 92.5 8 1
142.0 117.0 1 92.0 1 2
141.5 116.5 91.5 2 2
141.0 116.0 91.0 3 4
140.5 115.5 90.5 1 1
140.0 115.0 1 90.0 8 4
139.5 1 114.5 2 89.5 1 1
139.0 114.0 89.0 7 2
138.5 113.5 2 1 88.5 4 4
138.0 113.0 88.0 3 3
137.5 112.5 1 87.5 9 4
137.0 112.0 87.0 1
136.5 111.5 3 86.5 5 2
136.0 111.0 1 1 86.0 6 4
135.5 110.5 85.5 4 2
135.0 110.0 2 85.0 5 3
134.5 109.5 84.5 4 1
134.0 109.0 1 84.0 12 3
133.5 1 108.5 1 83.5 5 1
133.0 108.0 1 83.0 11 4
132.5 107.5 82.5 7
132.0 107.0 1 82.0 4 5
131.5 106.5 3 1 81.5 8 5
131.0 1 106.0 1 81.0 3 1
130.5 105.5 1 80.5 12 10
130.0 105.0 2 1 80.0 7 3
129.5 104.5 1 79.5 7 3
129.0 104.0 5 1 79.0 10 2
128.5 103.5 78.5 4 4
128.0 103.0 1 2 78.0 9 9
127.5 1 102.5 77.5 3 4
127.0 102.0 5 2 77.0 9 10
126.5 1 101.5 4 76.5 3 2
126.0 101.0 4 1 76.0 8 9
125.5 100.5 1 1 75.5 6 10
American Mathematics Competitions
2006 AMC 10 B Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 7 50.0 4 5 25.0
74.5 8 9 49.5 9 12 24.5 2
74.0 7 5 49.0 10 5 24.0 2
73.5 9 5 48.5 7 7 23.5 2
73.0 5 3 48.0 11 11 23.0
72.5 10 5 47.5 4 5 22.5
72.0 7 8 47.0 6 7 22.0 1
71.5 9 5 46.5 4 2 21.5
71.0 10 10 46.0 4 6 21.0 1
70.5 9 10 45.5 5 6 20.5 1 1
70.0 12 9 45.0 4 2 20.0
69.5 8 5 44.5 7 5 19.5 1
69.0 2 9 44.0 4 3 19.0
68.5 17 4 43.5 5 3 18.5
68.0 15 10 43.0 3 6 18.0 2 2
67.5 10 14 42.5 2 17.5
67.0 9 7 42.0 8 7 17.0
66.5 11 10 41.5 2 5 16.5
66.0 14 8 41.0 7 16.0
65.5 11 6 40.5 1 4 15.5
65.0 11 13 40.0 2 1 15.0
64.5 15 5 39.5 1 6 14.5
64.0 8 12 39.0 3 2 14.0
63.5 8 5 38.5 1 13.5
63.0 6 5 38.0 3 1 13.0
62.5 13 11 37.5 2 12.5
62.0 2 15 37.0 2 12.0 1 4
61.5 11 6 36.5 1 2 11.5
61.0 4 8 36.0 3 1 11.0
60.5 7 5 35.5 2 2 10.5
60.0 12 7 35.0 4 2 10.0
59.5 5 9 34.5 3 1 9.5
59.0 11 18 34.0 1 9.0
58.5 4 10 33.5 3 1 8.5
58.0 10 13 33.0 3 1 8.0
57.5 10 7 32.5 7.5
57.0 7 11 32.0 1 3 7.0
56.5 11 4 31.5 2 6.5
56.0 10 4 31.0 1 1 6.0 3
55.5 12 9 30.5 1 2 5.5
55.0 13 7 30.0 1 1 5.0
54.5 6 6 29.5 2 1 4.5
54.0 18 10 29.0 4.0
53.5 4 11 28.5 1 3 3.5
53.0 15 9 28.0 2 3.0
52.5 6 5 27.5 1 2.5
52.0 4 5 27.0 3 2.0
51.5 5 11 26.5 1 1.5
51.0 3 7 26.0 2 3 1.0
50.5 6 8 25.5 2 .5
0.0 0 1
American Mathematics Competitions
2006 AMC 10 B Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
139.5 1
133.5 1
131.0 1
127.5 1
126.5 1
123.0 1
119.5 1 1
117.0 1
115.0 1
114.5 1 1
113.5 1 2
112.5 1
111.5 1 2
111.0 2
110.0 3
109.0 1
108.5 1
108.0 1
107.0 1
106.5 4
106.0 1
105.5 1
105.0 2 1
104.5 1 1
104.0 1 6
103.0 2 1
102.0 3 5
101.5 4
101.0 2 3
100.5 2 1
100.0 1
99.5 2 5
99.0 1 3 1
98.5 4
98.0 2 2
97.0 1 1
96.0 1 3 3
95.5 1
95.0 1 2 5
94.5 1 1
94.0 1 1
93.5 1 4 5
93.0 1
92.5 4 6
92.0 3
91.5 1 1 2
91.0 1 2 4
90.5 1 1
90.0 7 7
89.5 1 1 1
89.0 2 7
88.5 1 7
88.0 2 4 1
87.5 4 10 1
87.0 2
86.5 3 4
86.0 3 8 2
85.5 2 4
85.0 4 5
84.5 2 2 1
84.0 1 7 7
83.5 1 5
83.0 6 9
82.5 4 3
82.0 1 4 5
81.5 5 9
81.0 4 1
80.5 8 15 1
80.0 4 6
79.5 6 4
79.0 3 9 1
78.5 2 6
78.0 1 6 12 2
77.5 1 2 4
77.0 1 9 9
76.5 3 3
76.0 1 7 10
75.5 1 2 16
75.0 1 8 2
74.5 6 13 1
74.0 1 5 7
73.5 1 1 7 5 2
73.0 3 5
72.5 7 8 1
72.0 1 6 10 1
71.5 3 12
71.0 3 17
70.5 6 13
70.0 9 12
69.5 8 7 1
69.0 4 8
68.5 1 6 14
68.0 1 11 15 1
67.5 2 7 18
67.0 1 6 11
66.5 9 14
66.0 1 9 14
65.5 8 9 1
65.0 13 11
64.5 8 12
64.0 1 10 9
63.5 5 8
63.0 5 7 2
62.5 18 9 1
62.0 8 9 1
61.5 11 7
61.0 8 4
60.5 9 5
60.0 9 10 2
59.5 9 6
59.0 1 17 12 1
58.5 10 5
58.0 1 11 11
57.5 9 8
57.0 2 7 10
56.5 2 9 4
56.0 9 8
55.5 1 11 11
55.0 1 13 8
54.5 1 6 6
54.0 17 11 1
53.5 1 5 10 1
53.0 1 14 11
52.5 6 6
52.0 7 3
51.5 9 7
51.0 6 4
50.5 7 10 1
50.0 5 4
49.5 1 14 7
49.0 10 6
48.5 7 9
48.0 10 13 1
47.5 8 1
47.0 1 6 6 1
46.5 1 3 3
46.0 9 2
45.5 8 3
45.0 5 1
44.5 5 9
44.0 6 1
43.5 6 4
43.0 5 5
42.5 1 1
42.0 1 7 9
41.5 4 3
41.0 3 5
40.5 2 2 1
40.0 2 1
39.5 4 4
39.0 3 2 1
38.5 1
38.0 2 2
37.5 2
37.0 1 1
36.5 2 1
36.0 3 1 1
35.5 3 1 1
35.0 7 1
34.5 5 1
34.0 1
33.5 3 1
33.0 1 3
32.0 2 2
31.5 2
31.0 1 1
30.5 1 2
30.0 2
29.5 2 2
28.5 2 2
28.0 2
27.5 1
27.0 3
26.5 1
26.0 4 1
25.5 1 1
25.0 1
24.5 2
24.0 1 1 1
23.5 1 1
22.0 1
21.0 1
20.5 2 1
19.5 1
18.0 4 1
17.0 1
12.0 3 2
6.0 2 1
1
American Mathematics Competitions
2006 AMC 10 B Results for Minnesota
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 1.13 0.61 4.75* 1.86 0.71 0.94 0.00
2 4.32* 0.65 0.13 0.17 0.29 4.44 0.00
3 7.56* 0.28 0.03 1.56 0.28 0.28 0.00
4 1.22 1.87 0.49 2.47* 2.56 1.37 0.00
5 0.78 4.91* 1.93 0.34 0.17 1.87 0.00
6 0.62 0.20 3.24 2.70* 0.41 2.82 0.00
7 2.05* 1.75 0.91 1.40 0.68 3.20 0.00
8 1.47 0.80* 0.29 1.28 0.58 5.58 0.00
9 0.10 7.75* 0.13 0.13 0.99 0.89 0.00
10 2.16* 0.41 1.66 0.09 2.01 3.67 0.00
11 0.33 0.64 2.20* 0.46 0.25 6.11 0.00
12 0.33 0.30 0.30 0.45 3.64* 4.97 0.00
13 1.08 0.17 2.27 0.81 2.41* 3.28 0.00
14 0.16 0.17 0.32 0.35* 0.07 8.94 0.00
15 0.69 0.39 1.50* 0.18 0.26 6.98 0.00
16 2.12 0.57 1.79 0.76 1.44* 3.32 0.00
17 2.77 1.38 1.50 2.30* 0.10 1.96 0.00
18 0.75 0.30 0.71 0.33 0.71* 7.19 0.00
19 0.34* 0.45 0.23 0.21 0.22 8.56 0.00
20 0.42 0.35 0.26 0.51 0.83* 7.63 0.01
21 0.49 0.29 0.67* 2.06 0.60 5.88 0.00
22 0.33 0.67 1.86 0.74* 0.15 6.25 0.01
23 0.30 0.72 0.25 0.49* 0.28 7.95 0.00
24 0.21 0.63* 0.67 0.30 0.22 7.97 0.00
25 0.26 1.69* 0.30 1.91 0.38 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 B Results for Minnesota
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 19 6
149.0 124.0 1 99.0
148.5 123.5 98.5 33 16
148.0 123.0 2 2 98.0 7
147.5 122.5 97.5 8 5
147.0 122.0 2 97.0 13 6
146.5 121.5 1 96.5
146.0 121.0 96.0 23 14
145.5 120.5 2 95.5 4 1
145.0 120.0 95.0 45 22
144.5 119.5 4 1 94.5 8 1
144.0 119.0 94.0 9 5
143.5 118.5 4 1 93.5 18 11
143.0 118.0 1 93.0
142.5 117.5 92.5 35 15
142.0 117.0 2 92.0 3
141.5 116.5 91.5 15 19
141.0 116.0 6 4 91.0 11 4
140.5 115.5 90.5 12 4
140.0 115.0 4 3 90.0 23 16
139.5 114.5 1 89.5 2 1
139.0 114.0 89.0 62 33
138.5 113.5 6 88.5 7 3
138.0 113.0 88.0 19 13
137.5 112.5 11 2 87.5 20 9
137.0 112.0 87.0 8 6
136.5 111.5 7 1 86.5 31 20
136.0 1 111.0 3 86.0 3 1
135.5 110.5 85.5 22 17
135.0 110.0 5 1 85.0 9 3
134.5 109.5 84.5 10 16
134.0 109.0 12 2 84.0 14 13
133.5 108.5 83.5 4 7
133.0 108.0 22 6 83.0 40 20
132.5 1 107.5 82.5 3 3
132.0 107.0 1 82.0 20 20
131.5 106.5 6 2 81.5 16 7
131.0 106.0 1 81.0 4 18
130.5 105.5 19 3 80.5 14 24
130.0 105.0 2 80.0 3 6
129.5 104.5 13 5 79.5 22 17
129.0 2 1 104.0 3 1 79.0 8 8
128.5 103.5 78.5 18 16
128.0 103.0 9 2 78.0 13 14
127.5 1 102.5 2 77.5 9 6
127.0 102.0 28 10 77.0 21 20
126.5 2 101.5 2 76.5 6 4
126.0 101.0 28 10 76.0 12 5
125.5 4 1 100.5 8 3 75.5 9 3
American Mathematics Competitions
2006 AMC 12 B Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 14 50.0 2 3 25.0
74.5 15 15 49.5 1 3 24.5
74.0 8 7 49.0 2 24.0 2
73.5 8 18 48.5 3 23.5 1
73.0 9 8 48.0 4 2 23.0
72.5 11 19 47.5 2 3 22.5
72.0 16 7 47.0 1 22.0
71.5 7 11 46.5 1 21.5
71.0 20 17 46.0 1 21.0
70.5 7 11 45.5 1 20.5
70.0 9 10 45.0 1 1 20.0
69.5 1 9 44.5 19.5
69.0 3 12 44.0 1 2 19.0
68.5 12 11 43.5 18.5
68.0 7 9 43.0 18.0
67.5 5 8 42.5 2 1 17.5
67.0 6 4 42.0 5 5 17.0
66.5 9 4 41.5 16.5
66.0 6 9 41.0 1 1 16.0
65.5 5 7 40.5 1 1 15.5
65.0 13 14 40.0 15.0
64.5 2 9 39.5 1 14.5
64.0 6 13 39.0 1 14.0
63.5 6 7 38.5 1 13.5
63.0 8 6 38.0 13.0
62.5 4 6 37.5 12.5
62.0 3 4 37.0 1 12.0
61.5 2 7 36.5 1 11.5
61.0 3 4 36.0 2 2 11.0
60.5 6 1 35.5 10.5
60.0 7 9 35.0 1 10.0
59.5 2 8 34.5 9.5
59.0 1 7 34.0 9.0
58.5 6 5 33.5 8.5 1
58.0 3 4 33.0 1 8.0
57.5 1 3 32.5 1 7.5
57.0 4 4 32.0 7.0
56.5 2 1 31.5 6.5
56.0 2 6 31.0 6.0
55.5 2 5 30.5 1 5.5
55.0 4 2 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 3 3 29.0 4.0
53.5 1 4 28.5 1 3.5
53.0 2 1 28.0 3.0
52.5 1 2 27.5 1 2.5
52.0 2 1 27.0 2.0
51.5 1 5 26.5 1.5
51.0 1 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
132.5 1 1
129.0 2 1
127.5 1
126.5 2
125.5 1 3 2
124.0 1
123.0 1 3
122.0 1 1 1
121.5 1
120.5 1 1
119.5 2 3
118.5 2 3
118.0 1
117.0 2
116.0 3 5 2
115.0 1 1 1 4
114.5 1
113.5 3 4
112.5 1 5 7 1
111.5 1 1 1 1 5
111.0 1 2
110.0 2 1 3 1
109.0 9 5
108.0 6 10 12
107.5 1
107.0 1
106.5 1 2 3 3 1
106.0 1
105.5 2 14 7
105.0 1 1
104.5 1 10 6 1
104.0 2 3
103.0 10 2
102.5 2
102.0 3 23 12
101.5 1 1
101.0 2 2 19 15 3
100.5 2 3 5 1
99.5 1 10 11 3
98.5 6 22 21
98.0 3 4 1
97.5 1 5 7
97.0 2 8 8 1
96.0 23 16 1
95.5 2 3
95.0 1 6 36 26 1
94.5 6 3
94.0 8 7 1
93.5 2 16 12 1
92.5 6 23 23 1
92.0 1 2
91.5 1 3 22 9
91.0 1 2 8 4
90.5 2 9 5
90.0 1 18 22 1
89.5 3
89.0 7 50 40 3
88.5 1 5 4
88.0 4 19 12
87.5 1 17 11
87.0 1 8 5
86.5 3 31 18 1 1
86.0 3 1
85.5 1 3 22 14 1
85.0 7 5 1
84.5 2 19 6
84.0 1 1 14 12
83.5 1 6 4
83.0 8 36 20 2
82.5 1 2 3
82.0 4 27 11 1
81.5 1 15 8 1
81.0 1 12 9
80.5 9 15 19
80.0 1 5 4
79.5 1 3 23 13 2
79.0 1 1 7 8
78.5 1 4 21 8 1
78.0 2 16 9 4
77.5 1 7 7
77.0 3 23 16 1
76.5 1 6 3
76.0 3 6 8
75.5 6 5 2
75.0 4 16 7 1
74.5 1 3 17 11 1
74.0 3 8 5
73.5 3 3 12 9
73.0 2 11 5
72.5 4 16 11 1
72.0 1 1 16 6 1
71.5 1 12 5 1
71.0 1 5 17 14
70.5 1 2 12 3
70.0 1 3 11 5
69.5 3 5 2
69.0 1 13 1
68.5 1 4 13 5 2
68.0 1 7 8 1
67.5 1 2 8 1 3
67.0 7 5
66.5 1 6 6
66.0 2 11 5 1
65.5 2 1 3 6 1
65.0 2 1 15 10
64.5 2 7 2 1
64.0 2 12 5 2
63.5 1 9 4
63.0 3 7 4
62.5 5 5 2
62.0 7 1
61.5 1 5 3
61.0 2 5
60.5 6 1
60.0 1 11 4 2
59.5 6 4
59.0 1 6 1
58.5 6 5
58.0 5 2 1
57.5 1 2 1
57.0 2 4 3
56.5 2 1 1
56.0 5 3 1
55.5 2 2 3
55.0 3 3
54.5 2
54.0 1 1 4 2
53.5 3 2
53.0 1 2
52.5 3
52.0 1 2
51.5 1 5
51.0 1
50.5 2
50.0 1 3 2
49.5 2 2
49.0 2
48.5 3
48.0 1 4 1
47.5 2 3
47.0 1 1
46.5 1
46.0 1
45.5 1
45.0 2 1
44.5 1 2
44.0 2 1
42.5 2 1
42.0 4 7 1
41.0 1 1
40.5 2
39.5 1
39.0 1
38.5 1
37.0 1
36.5 1
36.0 3 1
35.0 1
33.0 1
32.5 1
30.5 1
30.0 1
28.5 1
27.5 1
24.0 1 1
23.5 1
8.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Minnesota
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 0.58 0.36 7.44* 0.93 0.37 0.32 0.00
2 6.56* 0.48 0.04 0.11 0.26 2.55 0.00
3 8.24* 0.26 0.02 1.09 0.23 0.16 0.00
4 9.22* 0.24 0.09 0.21 0.06 0.17 0.00
5 6.84* 0.90 0.23 0.19 0.20 1.63 0.00
6 0.06 8.72* 0.09 0.05 0.55 0.54 0.00
7 0.38 8.27* 0.38 0.42 0.11 0.45 0.00
8 0.16 0.27 0.20 0.39 6.28* 2.69 0.00
9 0.36 4.23* 0.35 0.70 0.37 3.98 0.00
10 2.67* 0.40 1.28 0.10 2.74 2.81 0.01
11 0.77 0.11 1.15 0.76 4.21* 3.01 0.00
12 0.66 0.45 0.22 0.67* 0.59 7.40 0.00
13 0.59 0.44 2.18* 0.20 0.39 6.20 0.00
14 0.15 0.42 2.22 1.71* 0.09 5.40 0.00
15 0.14 1.45* 0.80 0.21 0.16 7.23 0.00
16 0.19 0.15 0.92* 0.18 0.15 8.42 0.00
17 0.50 0.19 1.01* 1.63 0.36 6.31 0.00
18 0.34 0.64* 1.25 0.29 0.18 7.30 0.00
19 0.13 1.85* 0.11 1.28 0.30 6.33 0.00
20 0.16 0.25 0.19* 0.13 0.49 8.78 0.00
21 0.22 0.11 0.13* 0.10 0.08 9.36 0.00
22 0.09 0.18* 0.16 0.09 0.08 9.40 0.00
23 0.13 0.20 0.38 0.18 0.06* 9.04 0.00
24 0.09 0.12 0.16* 0.14 0.08 9.41 0.00
25 0.07 0.18* 0.18 0.28 0.07 9.22 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column