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Missing Title
American Mathematics Competitions
2005 AMC 10 A Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1464
Number of unofficial participants: 29
Average score of participants: 71.9
Average score for female students is: 70.3 ( 686 Students)
Average score for male students is: 74.1 ( 681 Students)
Average score for unspecified gender is 68.2 ( 97 Students)
Average score for grade 10 is: 73.7 ( 780 Students)
Average score for grade 9 is: 70.0 ( 621 Students)
Average score for grade 8 and below is: 77.6 ( 12 Students)
Average score with unknown grade: 66.0 ( 51 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 55
Average school winning score 99.93
American Mathematics Competitions
2005 AMC 12 A Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2367
Number of unofficial participants: 10
Average score of participants: 76.3
Average score for female students is: 72.7 ( 984 Students)
Average score for male students is: 78.8 ( 1262 Students)
Average score for unspecified gender is 79.1 ( 121 Students)
Average score for grade 13 is: 65.8 ( 3 Students)
Average score for grade 12 is: 77.9 ( 1013 Students)
Average score for grade 11 is: 74.2 ( 1038 Students)
Average score for grade 10 is: 78.2 ( 179 Students)
Average score for grade 9 is: 74.0 ( 71 Students)
Average score for grade 8 and below is: 75.1 ( 4 Students)
Average score with unknown grade: 81.5 ( 59 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 195
Number of schools returning results 68
Average school winning score 105.88
Average school team score 294.57
American Mathematics Competitions
2005 AMC 10 B Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1629
Number of unofficial participants: 0
Average score of participants: 75.4
Average score for female students is: 73.2 ( 662 Students)
Average score for male students is: 77.6 ( 818 Students)
Average score for unspecified gender is 73.0 ( 149 Students)
Average score for grade 10 is: 77.8 ( 744 Students)
Average score for grade 9 is: 73.2 ( 739 Students)
Average score for grade 8 and below is: 71.5 ( 47 Students)
Average score with unknown grade: 75.3 ( 99 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 43
Average school winning score 105.15
American Mathematics Competitions
2005 AMC 12 B Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1831
Number of unofficial participants: 0
Average score of participants: 81.3
Average score for female students is: 78.2 ( 670 Students)
Average score for male students is: 83.7 ( 1035 Students)
Average score for unspecified gender is 77.8 ( 126 Students)
Average score for grade 12 is: 82.7 ( 713 Students)
Average score for grade 11 is: 79.8 ( 877 Students)
Average score for grade 10 is: 85.1 ( 141 Students)
Average score for grade 9 is: 85.8 ( 31 Students)
Average score with unknown grade: 76.2 ( 69 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 134
Number of schools returning results 52
Average school winning score 107.00
Average school team score 298.18
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
372.5 1 1
371.5 1 2
366.5 1 3
363.0 1 4
360.5 1 1 5
358.0 1 7
356.5 1 8
356.0 1 9
354.0 1 10
352.0 1 11
349.0 1 12
346.5 1 13
345.5 1 14
343.0 1 15
342.5 1 16
342.0 1 17
340.5 1 18
338.0 1 19
337.0 1 20
336.5 1 21
336.0 1 22
335.0 1 23
333.0 1 24
328.5 1 25
328.0 1 26
327.0 1 27
326.0 1 28
324.0 1 29
322.5 1 1 30
319.5 1 32
319.0 3 33
318.5 1 36
318.0 1 37
317.5 1 2 38
317.0 1 41
314.0 1 42
313.0 2 1 43
312.5 1 46
312.0 1 47
311.5 1 48
311.0 1 1 49
309.5 2 51
309.0 1 53
308.5 1 54
308.0 1 55
307.0 1 1 56
306.5 1 58
306.0 1 1 59
305.5 1 61
304.5 1 62
303.5 1 63
302.5 1 2 64
300.0 1 67
299.0 1 68
295.5 1 1 69
295.0 1 71
294.5 1 72
294.0 1 73
293.0 2 74
292.0 1 1 76
290.5 1 78
290.0 1 79
289.5 1 80
288.5 1 81
286.5 1 82
286.0 1 83
285.5 1 84
283.5 1 85
282.5 2 86
281.5 1 88
280.5 1 89
277.0 1 90
276.5 1 91
275.5 1 92
274.0 1 93
271.0 1 1 94
270.5 1 96
268.5 2 97
268.0 1 99
267.5 1 100
259.0 1 101
257.5 1 102
256.0 1 103
253.0 1 104
251.5 1 105
245.5 1 106
244.0 2 107
241.5 1 109
240.5 1 110
240.0 1 111
238.5 1 112
234.0 1 113
233.5 1 114
228.5 1 115
169.0 1 116
148.0 1 117
122.5 1 118
104.5 1 119
101.0 1 120
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
139.5 1 1
138.0 2
134.5 1 1
132.5 1 1
132.0 1
131.0 1
129.0 2 1
127.5 1
126.5 1 1
125.5 2 1
125.0 1 1
124.0 2 1 1
123.0 1 1
122.5 1
122.0 1 1
121.5 1 2
120.5 1 1
119.5 3 1 1
118.5 3 1
118.0 1 1 1
117.0 3 1 4 1
116.0 4 3 2
115.5 1 1
115.0 3 2
114.5 1 1 1 1
113.5 3 2 1 1
112.5 9 3 2 5
112.0 3 1 1
111.5 5 5 1 1
111.0 3 1 6 3
110.0 4 1 4 4
109.5 1 1 1
109.0 11 8 1
108.5 1 2 1
108.0 7 11 3
107.5 3 4 3
106.5 4 6 6 1
106.0 1 1 4
105.5 18 8 2 4
105.0 2 2
104.5 22 11 3 6
104.0 4 5 4 9
103.5 1 1
103.0 8 13 3 8
102.5 1 4
102.0 22 23 7 7
101.5 1 1 2 6
101.0 27 15 1 7
100.5 4 4 4 6
100.0 1
99.5 15 19 5 7
99.0 1 1 1 7
98.5 24 28 3 9
98.0 3 4 2 9
97.5 7 7 2 5
97.0 13 12 3 9
96.5 1 3 4
96.0 22 40 9 14
95.5 2 3 3 4
95.0 35 46 4 15
94.5 2 9 1 5
94.0 11 16 6 9
93.5 13 13 11 18
93.0 1 3
92.5 35 55 16 20
92.0 7 4 5 7
91.5 29 24 7 14
91.0 9 9 2 21
90.5 19 18 7 5
90.0 17 36 14 18
89.5 4 3 6
89.0 57 70 14 21
88.5 4 13 8 13
88.0 29 26 11 14
87.5 13 29 7 26
87.0 19 13 3 10
86.5 38 42 9 20
86.0 4 8 5 10
85.5 43 53 13 23
85.0 6 18 12 17
84.5 35 27 17 14
84.0 21 52 9 25
83.5 21 14 10 5
83.0 64 71 25 28
82.5 4 8 3 17
82.0 39 30 16 20
81.5 9 21 9 20
81.0 30 23 25 8
80.5 28 39 26 22
80.0 20 12 12 15
79.5 39 34 27 26
79.0 5 15 4 18
78.5 43 36 26 22
78.0 18 32 13 24
77.5 44 17 19 12
77.0 33 56 30 32
76.5 21 17 16 16
76.0 34 21 28 18
75.5 8 12 5 13
75.0 43 18 21 16
74.5 22 36 10 32
74.0 59 16 15 19
73.5 40 24 22 34
73.0 31 17 11 17
72.5 45 15 30 18
72.0 18 23 15 24
71.5 39 12 35 17
71.0 33 30 24 24
70.5 24 5 17 12
70.0 29 15 24 23
69.5 8 11 15 16
69.0 39 16 25 18
68.5 30 14 13 24
68.0 44 11 19 12
67.5 17 10 28 13
67.0 16 11 20 10
66.5 35 14 22 20
66.0 8 23 19 21
65.5 35 12 28 15
65.0 28 10 18 28
64.5 19 11 7 8
64.0 22 4 20 13
63.5 15 5 12 16
63.0 20 7 19 12
62.5 17 12 18 20
62.0 30 4 19 8
61.5 12 7 14 14
61.0 19 6 11 12
60.5 21 7 12 9
60.0 28 12 10 25
59.5 19 3 19 6
59.0 20 3 10 11
58.5 14 4 15 11
58.0 16 4 11 9
57.5 12 4 11 10
57.0 15 6 14 6
56.5 10 6 12 6
56.0 8 5 16 12
55.5 10 3 13 14
55.0 6 5 5 11
54.5 15 2 7 5
54.0 13 5 8 9
53.5 4 2 7 10
53.0 9 1 7 7
52.5 4 2 7 9
52.0 7 2 7 8
51.5 6 9 3
51.0 7 2 7 3
50.5 10 4 7 6
50.0 2 1 7 12
49.5 7 4 3 2
49.0 3 1 5 3
48.5 6 1 3 1
48.0 11 8 9 9
47.5 3 2 6 2
47.0 3 4 7 4
46.5 4 1 5 3
46.0 2 1 8 4
45.5 5 1 2 1
45.0 4 1 3
44.5 8 2 5 4
44.0 2 2 2
43.5 2 1 6 5
43.0 1 1 1 3
42.5 3 2
42.0 12 7 5 2
41.5 2 1 2
41.0 1 1 3 1
40.5 5 1 3 2
40.0 2 1
39.5 2 1 2 2
39.0 1 3
38.5 2 1 1 2
38.0 3 4
37.5 1 2 1
37.0 3
36.5 3 1 2
36.0 8 5 4 2
35.5 1 1
35.0 1 1
34.5 2
34.0 1 1 2
33.5 2
33.0 2
32.5 2 1 1 1
32.0 1 2
31.0 2
30.5 2 1
30.0 9 1 7 3
29.5 1 1
29.0 1 1
28.0 1
27.5 1
27.0 1 1
26.5 1 1
25.5 2
24.5 1
24.0 1 2 1
22.5 1
20.0 1
18.0 3 1
14.5 1
12.0 2 1
American Mathematics Competitions
2005 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
149.5 124.5 99.5 3 2
149.0 124.0 99.0 1
148.5 123.5 98.5 1 2
148.0 123.0 98.0 2
147.5 122.5 97.5 2
147.0 122.0 97.0 2 1
146.5 121.5 1 1 96.5 2 1
146.0 121.0 96.0 5 4
145.5 120.5 1 95.5 2
145.0 120.0 95.0 2 2
144.5 119.5 94.5 1
144.0 119.0 94.0 2 4
143.5 118.5 93.5 6 5
143.0 118.0 1 93.0 1
142.5 117.5 92.5 10 6
142.0 117.0 4 92.0 5
141.5 116.5 91.5 4 3
141.0 116.0 3 91.0 2
140.5 115.5 1 90.5 3 4
140.0 115.0 90.0 9 5
139.5 114.5 1 89.5 1 2
139.0 114.0 89.0 10 3
138.5 113.5 1 88.5 4 3
138.0 2 113.0 88.0 4 6
137.5 112.5 1 1 87.5 4 3
137.0 112.0 1 87.0 2 1
136.5 111.5 1 86.5 7 2
136.0 111.0 3 3 86.0 4 1
135.5 110.5 85.5 6 4
135.0 110.0 3 1 85.0 6 6
134.5 109.5 1 84.5 12 4
134.0 109.0 84.0 5 3
133.5 108.5 1 83.5 4 4
133.0 108.0 83.0 9 15
132.5 107.5 4 82.5 3
132.0 107.0 82.0 9 7
131.5 106.5 5 81.5 3 5
131.0 106.0 1 81.0 12 12
130.5 105.5 1 1 80.5 13 8
130.0 105.0 80.0 5 7
129.5 104.5 2 1 79.5 14 13
129.0 104.0 3 1 79.0 2 2
128.5 103.5 1 78.5 10 15
128.0 103.0 3 78.0 7 4
127.5 102.5 1 77.5 9 7
127.0 102.0 5 2 77.0 14 15
126.5 1 101.5 1 1 76.5 3 12
126.0 101.0 1 76.0 9 17
125.5 100.5 3 1 75.5 1 4
American Mathematics Competitions
2005 AMC 10 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 10 50.0 4 3 25.0
74.5 4 5 49.5 1 2 24.5
74.0 6 8 49.0 4 1 24.0 1
73.5 15 6 48.5 1 2 23.5
73.0 8 3 48.0 5 4 23.0
72.5 10 19 47.5 2 3 22.5
72.0 6 8 47.0 4 3 22.0
71.5 12 22 46.5 1 4 21.5
71.0 13 9 46.0 8 21.0
70.5 8 9 45.5 2 20.5
70.0 14 9 45.0 1 20.0
69.5 11 4 44.5 3 2 19.5
69.0 8 17 44.0 19.0
68.5 3 9 43.5 2 4 18.5
68.0 4 12 43.0 1 18.0 1
67.5 12 12 42.5 17.5
67.0 8 9 42.0 4 1 17.0
66.5 7 15 41.5 1 16.5
66.0 10 8 41.0 2 1 16.0
65.5 10 15 40.5 1 1 15.5
65.0 7 10 40.0 15.0
64.5 7 39.5 1 14.5
64.0 6 11 39.0 1 14.0
63.5 5 5 38.5 1 13.5
63.0 9 9 38.0 1 2 13.0
62.5 8 4 37.5 2 12.5
62.0 10 7 37.0 3 12.0
61.5 6 7 36.5 11.5
61.0 2 8 36.0 2 2 11.0
60.5 5 6 35.5 10.5
60.0 6 3 35.0 1 10.0
59.5 3 13 34.5 2 9.5
59.0 4 5 34.0 1 9.0
58.5 4 10 33.5 8.5
58.0 5 6 33.0 1 1 8.0
57.5 6 5 32.5 1 7.5
57.0 7 6 32.0 7.0
56.5 5 5 31.5 6.5
56.0 7 7 31.0 6.0
55.5 9 4 30.5 1 5.5
55.0 2 1 30.0 5 5.0
54.5 3 4 29.5 4.5
54.0 6 2 29.0 1 4.0
53.5 3 4 28.5 3.5
53.0 2 5 28.0 3.0
52.5 2 4 27.5 2.5
52.0 2 4 27.0 1 2.0
51.5 3 6 26.5 1.5
51.0 2 4 26.0 1.0
50.5 5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
138.0 2
126.5 1
125.0 1
121.5 1 1
120.5 1
118.0 1
117.0 1 3
116.0 1 1 1
115.5 1
114.5 1
113.5 1
112.5 2
112.0 1
111.5 1
111.0 1 5
110.0 2 2
109.5 1
108.5 1
107.5 3 1
106.5 1 5
106.0 1
105.5 2
104.5 1 2
104.0 2 2
103.5 1
103.0 2 1
102.5 1
102.0 1 6
101.5 2
101.0 1
100.5 2 2
99.5 2 3
99.0 1
98.5 1 2
98.0 2
97.5 2
97.0 1 2
96.5 2 1
96.0 3 6
95.5 1 2
95.0 4
94.5 1
94.0 2 4
93.5 4 7
93.0 1
92.5 6 10
92.0 1 3 1
91.5 4 3
91.0 1 1
90.5 6 1
90.0 5 9
89.5 1 2
89.0 3 10 1
88.5 1 7
88.0 6 5
87.5 2 5
87.0 1 2
86.5 2 7
86.0 5
85.5 3 7 3
85.0 4 8
84.5 4 12 1
84.0 4 4 1
83.5 4 4 2
83.0 10 15
82.5 2 1
82.0 9 7
81.5 1 4 4
81.0 11 14
80.5 13 13
80.0 5 7
79.5 12 15
79.0 1 3
78.5 6 19 1
78.0 8 4 1
77.5 9 7 3
77.0 1 11 17 1
76.5 6 10
76.0 1 12 14 1
75.5 5
75.0 1 7 10 3
74.5 4 5 1
74.0 8 7
73.5 5 17
73.0 2 9
72.5 14 16
72.0 5 10
71.5 13 21 1
71.0 13 11
70.5 4 13
70.0 10 14
69.5 4 11
69.0 18 7
68.5 6 7
68.0 11 7 1
67.5 11 14 3
67.0 9 10 1
66.5 9 13
66.0 8 10 1
65.5 12 15 1
65.0 10 6 2
64.5 7
64.0 14 6
63.5 4 7 1
63.0 9 10
62.5 9 7 2
62.0 1 6 10 2
61.5 8 5 1
61.0 5 5 1
60.5 5 6 1
60.0 7 2 1
59.5 10 7 2
59.0 3 7
58.5 1 6 8
58.0 7 4
57.5 6 5
57.0 10 4
56.5 5 6 1
56.0 6 8 2
55.5 8 5
55.0 1 3 1
54.5 4 3
54.0 2 6
53.5 5 2
53.0 4 3
52.5 3 3 1
52.0 4 3
51.5 5 4
51.0 6 1
50.5 4 3
50.0 2 5
49.5 2 1
49.0 2 3
48.5 2 1
48.0 5 4
47.5 3 2 1
47.0 7
46.5 4 1
46.0 1 2 5
45.5 1 1
45.0 1
44.5 2 3
43.5 1 5
43.0 1
42.0 2 3
41.5 1
41.0 1 2
40.5 2 1
39.5 1 1
39.0 1
38.5 1
38.0 2 1
37.5 1 1
37.0 1 2
36.5 1
36.0 2 2
35.0 1
34.5 1 1
34.0 1
33.0 2
32.5 1
30.5 1
30.0 3 2 2
29.0 1
27.0 1
24.0 1
18.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Minnesota
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 0.27 0.18 0.32 8.30* 0.46 0.47 0.00
2 0.14 0.06 4.72* 0.10 1.40 3.58 0.00
3 0.06 8.59* 0.31 0.40 0.15 0.49 0.00
4 0.48 1.27* 1.83 0.48 0.45 5.48 0.00
5 5.39* 0.40 3.91 0.07 0.06 0.17 0.00
6 0.44 4.46* 3.01 0.11 0.10 1.89 0.00
7 0.75 3.25* 0.29 0.42 0.71 4.57 0.00
8 1.03 0.27 3.31* 0.08 0.10 5.21 0.00
9 1.22 5.50* 0.96 0.19 0.18 1.94 0.00
10 1.20* 0.27 0.85 0.25 0.08 7.34 0.00
11 0.33 2.10* 0.21 0.61 0.08 6.67 0.00
12 0.23 0.82* 0.33 0.15 0.38 8.09 0.00
13 1.26 0.38 0.23 0.24 0.77* 7.12 0.00
14 0.61 0.36 0.31 0.38 1.87* 6.48 0.00
15 0.29 0.47 0.51 0.81 0.93* 6.99 0.00
16 0.53 0.25 0.51 1.58* 0.13 7.01 0.00
17 0.23 0.16 0.42 1.30* 0.40 7.49 0.00
18 1.29* 1.84 1.02 3.18 0.24 2.44 0.00
19 0.33 0.66 0.63 2.64* 0.59 5.14 0.00
20 0.44* 0.38 0.36 0.31 0.20 8.29 0.01
21 1.31 0.51* 0.16 0.23 0.55 7.24 0.00
22 0.59 0.38 0.23 1.61* 0.29 6.91 0.00
23 0.11 0.30 1.02* 0.96 0.59 7.02 0.00
24 0.79 0.47* 0.20 0.14 0.05 8.35 0.00
25 0.22 0.53 0.69 0.55* 0.13 7.89 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 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 13 2
149.0 124.0 2 99.0 1
148.5 123.5 98.5 15 8
148.0 123.0 1 98.0 2 1
147.5 122.5 97.5 3 4
147.0 122.0 97.0 9 3
146.5 121.5 96.5
146.0 121.0 96.0 19 3
145.5 120.5 95.5 2
145.0 120.0 95.0 19 11
144.5 119.5 3 94.5 1 1
144.0 119.0 94.0 5 5
143.5 118.5 2 1 93.5 7 3
143.0 118.0 1 93.0
142.5 117.5 92.5 24 11
142.0 117.0 1 2 92.0 4 3
141.5 116.5 91.5 17 11
141.0 116.0 4 91.0 5 3
140.5 115.5 1 90.5 8 10
140.0 115.0 3 90.0 11 5
139.5 1 114.5 1 89.5
139.0 114.0 89.0 30 19
138.5 113.5 3 88.5 3 1
138.0 113.0 88.0 13 14
137.5 112.5 8 1 87.5 7 5
137.0 112.0 3 87.0 9 9
136.5 111.5 5 86.5 22 11
136.0 111.0 2 1 86.0 3 1
135.5 110.5 85.5 22 19
135.0 110.0 4 85.0 6
134.5 1 109.5 1 84.5 20 10
134.0 109.0 8 3 84.0 13 7
133.5 108.5 1 83.5 6 11
133.0 108.0 4 2 83.0 36 21
132.5 1 107.5 3 82.5 3
132.0 1 107.0 82.0 30 7
131.5 106.5 2 2 81.5 5 4
131.0 106.0 81.0 11 18
130.5 105.5 14 4 80.5 18 9
130.0 105.0 2 80.0 10 8
129.5 104.5 17 4 79.5 25 10
129.0 2 104.0 3 1 79.0 3 1
128.5 103.5 78.5 24 19
128.0 103.0 7 1 78.0 14 4
127.5 1 102.5 77.5 21 22
127.0 102.0 14 5 77.0 15 16
126.5 1 101.5 1 76.5 8 12
126.0 101.0 14 11 76.0 18 16
125.5 2 100.5 3 1 75.5 3 4
American Mathematics Competitions
2005 AMC 12 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 21 19 50.0 2 25.0
74.5 14 7 49.5 3 4 24.5
74.0 33 26 49.0 3 24.0 1
73.5 23 15 48.5 3 2 23.5
73.0 7 23 48.0 7 4 23.0
72.5 25 17 47.5 1 2 22.5
72.0 9 8 47.0 2 1 22.0
71.5 18 19 46.5 2 2 21.5
71.0 15 15 46.0 1 1 21.0
70.5 6 17 45.5 1 4 20.5
70.0 17 8 45.0 1 3 20.0
69.5 4 4 44.5 3 4 19.5
69.0 21 17 44.0 1 1 19.0
68.5 15 14 43.5 1 18.5
68.0 18 26 43.0 1 18.0 2 1
67.5 7 8 42.5 2 1 17.5
67.0 6 10 42.0 5 7 17.0
66.5 11 24 41.5 16.5
66.0 5 2 41.0 1 16.0
65.5 22 13 40.5 2 3 15.5
65.0 18 10 40.0 2 15.0
64.5 7 12 39.5 1 1 14.5
64.0 11 10 39.0 14.0
63.5 8 7 38.5 1 1 13.5
63.0 8 12 38.0 13.0
62.5 11 5 37.5 1 12.5
62.0 16 14 37.0 12.0 1 1
61.5 4 8 36.5 1 2 11.5
61.0 7 11 36.0 4 3 11.0
60.5 7 14 35.5 1 10.5
60.0 15 12 35.0 10.0
59.5 7 12 34.5 9.5
59.0 9 9 34.0 9.0
58.5 4 10 33.5 8.5
58.0 9 6 33.0 8.0
57.5 4 7 32.5 2 7.5
57.0 6 8 32.0 7.0
56.5 5 5 31.5 6.5
56.0 2 6 31.0 1 1 6.0
55.5 5 5 30.5 1 1 5.5
55.0 1 4 30.0 5 4 5.0
54.5 5 9 29.5 1 4.5
54.0 6 7 29.0 1 4.0
53.5 2 2 28.5 3.5
53.0 4 4 28.0 3.0
52.5 1 3 27.5 1 2.5
52.0 3 4 27.0 2.0
51.5 2 3 26.5 1 1.5
51.0 1 4 26.0 1.0
50.5 5 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
134.5 1
132.5 1
132.0 1
131.0 1
129.0 2
127.5 1
126.5 1
125.5 1 1
124.0 1 1
123.0 1
119.5 1 1 1
118.5 3
118.0 1
117.0 1 1 1
116.0 2 2
115.5 1
115.0 1 1 1
114.5 1
113.5 1 1 1
112.5 5 4
112.0 3
111.5 2 3
111.0 2 1
110.0 1 1 2
109.5 1
109.0 1 1 2 7
108.5 1
108.0 2 4 1
107.5 1 1 1
106.5 1 3
105.5 3 8 7
105.0 2
104.5 1 8 13
104.0 1 3
103.0 6 2
102.0 8 13 1
101.5 1
101.0 3 2 6 14 2
100.5 3 1
99.5 3 3 9
99.0 1
98.5 1 4 9 10
98.0 3
97.5 1 4 2
97.0 1 1 5 5 1
96.0 2 6 14
95.5 1 1
95.0 6 12 15 2
94.5 2
94.0 1 2 7 1
93.5 1 1 4 5 2
92.5 5 15 15
92.0 4 3
91.5 2 12 14 1
91.0 1 5 3
90.5 1 2 9 6 1
90.0 1 7 8 1
89.0 8 25 19 5
88.5 3 1
88.0 1 15 12 1
87.5 7 5 1
87.0 7 12
86.5 1 13 20 4
86.0 3 1
85.5 1 3 18 20 1
85.0 2 4
84.5 1 3 13 16 1 1
84.0 1 6 14
83.5 1 8 12
83.0 4 2 21 32 5
82.5 1 1 2
82.0 1 2 19 16 1
81.5 7 2
81.0 5 9 16
80.5 1 5 9 12 1
80.0 1 12 6 1
79.5 1 3 16 18 1
79.0 1 2 2
78.5 2 1 21 19
78.0 1 7 9 1
77.5 1 1 19 22 1
77.0 1 13 17 2
76.5 1 5 5 9 1
76.0 1 2 14 16 1
75.5 2 5 1
75.0 2 18 23
74.5 2 13 6 1
74.0 2 6 25 26
73.5 1 2 1 19 17
73.0 1 4 13 13
72.5 3 16 24 2
72.0 1 7 10
71.5 6 19 13 1
71.0 1 2 12 16 2
70.5 1 5 11 7
70.0 2 12 14 1
69.5 1 3 4
69.0 3 5 15 15 1
68.5 1 19 9 1
68.0 2 6 22 14
67.5 2 11 4
67.0 2 12 2
66.5 1 22 11 1
66.0 3 4 1
65.5 3 4 15 13
65.0 2 16 10
64.5 1 2 11 5
64.0 1 1 11 9
63.5 3 6 6
63.0 2 9 9
62.5 1 5 10 1
62.0 6 6 10 8
61.5 1 7 4
61.0 3 1 6 8 1
60.5 1 2 11 7
60.0 1 13 13 1
59.5 2 10 7
59.0 1 12 7
58.5 3 8 3
58.0 1 1 8 6
57.5 2 5 5
57.0 3 5 7
56.5 1 7 2
56.0 1 7
55.5 9 1
55.0 1 3 2
54.5 1 1 10 3
54.0 7 6
53.5 3 1
53.0 1 5 3
52.5 3 1
52.0 4 3
51.5 4 1 1
51.0 1 2 3 1
50.5 5 5
50.0 2
49.5 1 1 3 2
49.0 2 1
48.5 1 1 4
48.0 6 5
47.5 2 1
47.0 1 1 1
46.5 2 2
46.0 1 1
45.5 1 3 1
45.0 3 1
44.5 1 3 4
44.0 1 1
43.5 1 1
43.0 1
42.5 2 1
42.0 1 1 9 1
41.0 1
40.5 2 3
40.0 2
39.5 1 1
38.5 2
37.5 1
36.5 2 1
36.0 6 2
35.5 1
32.5 1 1
31.0 2
30.5 2
30.0 6 3
29.5 1
29.0 1
27.5 1
26.5 1
24.0 1
18.0 2 1
12.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Minnesota
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 0.06 0.06 0.14 9.24* 0.12 0.37 0.00
2 0.03 9.29* 0.18 0.31 0.03 0.15 0.00
3 0.33 3.33* 1.12 0.43 0.52 4.26 0.00
4 6.50* 0.34 2.91 0.08 0.04 0.11 0.01
5 0.25 6.05* 2.13 0.14 0.06 1.36 0.00
6 0.41 4.46* 0.27 0.27 0.76 3.83 0.00
7 0.63 0.16 5.95* 0.09 0.06 3.11 0.00
8 0.29 0.39 0.26 1.51* 0.19 7.36 0.00
9 2.87* 0.41 0.80 0.30 0.10 5.52 0.00
10 0.27 2.79* 0.16 0.57 0.12 6.09 0.00
11 0.83 0.41 0.31 0.43 2.72* 5.30 0.00
12 0.80 0.30 0.20 3.00* 1.05 4.65 0.00
13 0.16 0.17 0.47 2.29* 0.35 6.55 0.00
14 0.29 0.47 3.02 1.06* 0.36 4.79 0.00
15 0.16 0.32 1.10* 0.69 0.56 7.16 0.00
16 0.21 0.26 0.54 0.49* 0.29 8.21 0.00
17 1.49* 0.89 1.03 0.35 0.37 5.88 0.00
18 0.30* 0.36 0.23 0.19 0.19 8.73 0.00
19 0.81 1.90* 0.82 0.45 0.86 5.16 0.00
20 0.25 0.17 0.10 0.12 0.16* 9.20 0.00
21 0.34 0.41 0.34* 0.14 0.07 8.71 0.00
22 0.31 0.42* 0.23 0.26 0.19 8.58 0.00
23 0.40 0.45* 0.14 0.25 0.41 8.36 0.00
24 0.11 0.12* 0.16 0.19 0.04 9.37 0.00
25 0.30 0.21 0.13* 0.16 0.11 9.09 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 Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
149.5 124.5 99.5 7
149.0 124.0 1 99.0 6 1
148.5 123.5 98.5 5 3
148.0 123.0 98.0 4 5
147.5 122.5 97.5 3 2
147.0 122.0 1 97.0 6 3
146.5 121.5 96.5 3 1
146.0 121.0 96.0 5 8
145.5 120.5 95.5 4
145.0 120.0 95.0 7 7
144.5 119.5 1 94.5 3 1
144.0 119.0 94.0 4 4
143.5 118.5 1 93.5 9 6
143.0 118.0 1 93.0 2 1
142.5 117.5 92.5 10 9
142.0 117.0 1 92.0 5 2
141.5 116.5 91.5 8 5
141.0 116.0 2 91.0 14 4
140.5 115.5 90.5 2 2
140.0 115.0 2 90.0 8 9
139.5 1 114.5 1 89.5 3 1
139.0 114.0 89.0 11 9
138.5 113.5 1 88.5 5 7
138.0 113.0 88.0 7 5
137.5 112.5 4 1 87.5 12 10
137.0 112.0 1 87.0 8 2
136.5 111.5 1 86.5 10 8
136.0 111.0 2 1 86.0 6 3
135.5 110.5 85.5 15 7
135.0 110.0 4 85.0 12 3
134.5 109.5 1 84.5 4 7
134.0 109.0 1 84.0 13 12
133.5 108.5 83.5 4 1
133.0 108.0 3 83.0 14 12
132.5 107.5 2 1 82.5 11 5
132.0 107.0 82.0 10 8
131.5 106.5 1 81.5 13 5
131.0 106.0 4 81.0 4 4
130.5 105.5 4 80.5 12 10
130.0 105.0 1 1 80.0 11 2
129.5 104.5 4 2 79.5 10 15
129.0 104.0 8 1 79.0 8 8
128.5 103.5 1 78.5 9 12
128.0 103.0 6 2 78.0 8 14
127.5 102.5 4 77.5 6 4
127.0 102.0 2 4 77.0 15 16
126.5 101.5 2 3 76.5 7 5
126.0 101.0 1 4 76.0 7 8
125.5 100.5 4 1 75.5 10 3
American Mathematics Competitions
2005 AMC 10 B Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 7 50.0 4 6 25.0
74.5 14 14 49.5 1 1 24.5 1
74.0 4 7 49.0 2 24.0
73.5 16 15 48.5 1 23.5
73.0 10 7 48.0 8 1 23.0
72.5 7 11 47.5 1 1 22.5
72.0 9 14 47.0 2 22.0
71.5 8 8 46.5 2 1 21.5
71.0 12 11 46.0 3 1 21.0
70.5 6 5 45.5 1 20.5
70.0 13 8 45.0 1 1 20.0 1
69.5 6 9 44.5 3 1 19.5
69.0 12 4 44.0 1 1 19.0
68.5 13 8 43.5 4 1 18.5
68.0 7 2 43.0 1 18.0
67.5 7 5 42.5 2 17.5
67.0 5 3 42.0 1 17.0
66.5 10 7 41.5 2 16.5
66.0 10 8 41.0 1 16.0
65.5 9 5 40.5 1 1 15.5
65.0 13 13 40.0 15.0
64.5 3 5 39.5 2 14.5 1
64.0 8 3 39.0 2 1 14.0
63.5 5 10 38.5 1 13.5
63.0 6 5 38.0 4 13.0
62.5 8 11 37.5 1 12.5
62.0 5 3 37.0 12.0 1
61.5 7 6 36.5 2 11.5
61.0 6 5 36.0 2 11.0
60.5 4 4 35.5 1 10.5
60.0 12 12 35.0 10.0
59.5 4 1 34.5 9.5
59.0 4 4 34.0 1 9.0
58.5 6 4 33.5 2 8.5
58.0 3 6 33.0 8.0
57.5 5 3 32.5 1 7.5
57.0 6 32.0 1 1 7.0
56.5 5 1 31.5 6.5
56.0 3 8 31.0 6.0
55.5 4 7 30.5 5.5
55.0 6 3 30.0 1 1 5.0
54.5 4 29.5 4.5
54.0 3 6 29.0 4.0
53.5 5 3 28.5 3.5
53.0 1 6 28.0 1 3.0
52.5 3 5 27.5 2.5
52.0 5 3 27.0 1 2.0
51.5 3 26.5 1 1.5
51.0 1 2 26.0 1.0
50.5 2 2 25.5 2 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
139.5 1
125.0 1
124.0 1
123.0 1
122.0 1
119.5 1
118.5 1
118.0 1
117.0 1
116.0 2
115.0 1 1
114.5 1
113.5 1
112.5 3 2
112.0 1
111.5 1
111.0 2 1
110.0 4
109.5 1
109.0 1
108.0 2 1
107.5 1 2
106.5 1
106.0 1 1 1 1
105.5 3 1
105.0 2
104.5 1 5
104.0 2 7
103.5 1
103.0 2 5 1
102.5 2 2
102.0 2 5
101.5 6
101.0 1 5 1
100.5 1 4 1
99.5 3 4
99.0 1 1 5
98.5 6 2 1
98.0 1 8
97.5 1 1 3
97.0 1 8
96.5 3 1
96.0 1 6 5 2
95.5 1 2 1
95.0 1 6 7 1
94.5 1 3 1
94.0 6 3
93.5 5 12 1
93.0 3
92.5 1 9 9 1
92.0 4 3
91.5 1 3 10
91.0 5 14 2
90.5 1 3 1
90.0 7 10 1
89.5 1 4 1
89.0 1 10 9 1
88.5 5 7 1
88.0 1 1 4 7 1
87.5 12 13 1
87.0 7 3
86.5 1 13 6
86.0 2 5 3
85.5 1 11 10 1
85.0 6 9 2
84.5 3 11
84.0 9 16
83.5 4 1
83.0 14 13 1
82.5 4 11 2
82.0 1 9 8 2
81.5 10 8 2
81.0 5 3
80.5 11 11
80.0 1 6 6 2
79.5 16 9 1
79.0 8 10
78.5 13 8 1
78.0 1 8 13 2
77.5 1 5 4 2
77.0 18 13 1
76.5 5 8 3
76.0 11 6 1
75.5 6 7
75.0 1 5 9 1
74.5 15 14 3
74.0 8 5 6
73.5 18 14 2
73.0 9 8
72.5 6 12
72.0 7 16 1
71.5 1 8 8
71.0 1 16 6 1
70.5 4 7 1
70.0 1 1 12 9
69.5 9 7
69.0 1 1 9 5 2
68.5 7 15 2
68.0 1 4 5 2
67.5 1 4 8
67.0 1 5 3 1
66.5 13 4 3
66.0 13 6 2
65.5 1 1 9 3 1
65.0 1 15 11 1
64.5 4 3 1
64.0 8 4 1
63.5 9 7
63.0 8 3 1
62.5 8 11 1
62.0 1 3 4
61.5 1 7 5 1
61.0 8 3 1
60.5 1 1 5 2
60.0 18 7
59.5 5 1
59.0 6 3 2
58.5 5 6
58.0 8 1
57.5 3 6 1
57.0 4 2
56.5 2 4
56.0 5 7
55.5 1 7 4 2
55.0 1 7 2 1
54.5 1 3 1
54.0 4 5
53.5 5 4 1
53.0 5 2
52.5 4 5
52.0 1 3 4
51.5 1 2
51.0 3
50.5 1 3 2
50.0 9 2 1
49.5 1 1
49.0 1 1 1
48.5 1
48.0 1 3 5
47.5 2
47.0 3 1
46.5 1 2
46.0 1 3
45.5 1
45.0 2 1
44.5 2 2
44.0 1 1
43.5 2 3
43.0 1 1 1
42.5 1 1
42.0 1 1
41.5 1 1
41.0 1
40.5 2
39.5 1 1
39.0 2 1
38.5 2
38.0 3 1
37.5 1
36.5 2
36.0 2
35.5 1
34.0 1 1
33.5 2
32.5 1
32.0 2
30.0 2 1
28.0 1
27.0 1
26.5 1
25.5 1 1
24.5 1
20.0 1
14.5 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Minnesota
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 8.28* 0.42 0.49 0.18 0.45 0.17 0.00
2 0.15 0.33 0.15 7.67* 0.32 1.38 0.00
3 0.03 0.99 2.23 5.24* 0.87 0.64 0.00
4 0.73 0.10 0.67 3.09* 0.24 5.17 0.00
5 0.13 0.06 8.53* 0.20 0.50 0.59 0.00
6 0.16 8.28* 0.26 0.24 0.21 0.84 0.00
7 0.80 0.96* 0.38 0.83 0.55 6.48 0.00
8 5.05* 0.18 0.95 0.07 0.15 3.59 0.00
9 0.55 0.54 2.27 4.67* 0.53 1.44 0.00
10 1.22* 0.71 0.52 0.26 0.30 6.99 0.00
11 0.21 0.54 0.15 1.61 1.25* 6.23 0.00
12 0.52 1.15 0.31 0.18 0.17* 7.67 0.00
13 0.37 0.39 1.33* 1.58 0.46 5.86 0.00
14 0.33 0.20 1.58* 1.82 0.58 5.49 0.00
15 1.15 0.60 0.75 4.19* 0.71 2.61 0.00
16 0.36 0.50 0.58 0.26* 0.11 8.19 0.00
17 0.55 2.44* 1.00 0.30 0.24 5.46 0.01
18 0.47 4.84 0.87 1.87* 0.43 1.50 0.01
19 0.53 5.33* 0.49 0.36 0.44 2.84 0.00
20 0.61 0.31 0.71* 0.36 0.23 7.78 0.00
21 0.25* 0.35 0.21 0.24 0.14 8.82 0.00
22 0.52 0.78 0.39* 0.20 0.28 7.84 0.00
23 2.69 0.43 0.31* 0.30 0.13 6.13 0.00
24 0.31 0.28 0.20 0.42 0.85* 7.95 0.00
25 0.21 0.28 2.27* 0.20 0.14 6.89 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 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 16 3
149.0 124.0 1 99.0 1
148.5 123.5 98.5 16 11
148.0 123.0 98.0 4
147.5 122.5 1 97.5 3 2
147.0 122.0 1 97.0 7 4
146.5 121.5 1 96.5 1
146.0 121.0 96.0 27 12
145.5 120.5 1 95.5 1 2
145.0 120.0 95.0 33 12
144.5 119.5 1 94.5 5 3
144.0 119.0 94.0 3 13
143.5 118.5 93.5 7 5
143.0 1 118.0 93.0
142.5 117.5 92.5 41 11
142.0 117.0 1 92.0 3 1
141.5 116.5 91.5 15 8
141.0 116.0 91.0 3 6
140.5 115.5 90.5 12 4
140.0 115.0 90.0 28 6
139.5 114.5 1 89.5 2 1
139.0 114.0 89.0 50 18
138.5 113.5 2 88.5 9 3
138.0 113.0 88.0 12 13
137.5 112.5 3 87.5 15 11
137.0 112.0 87.0 6 7
136.5 111.5 3 1 86.5 25 16
136.0 111.0 1 86.0 7 1
135.5 110.5 85.5 29 18
135.0 110.0 1 85.0 12 5
134.5 1 109.5 84.5 16 7
134.0 109.0 7 1 84.0 34 16
133.5 108.5 1 83.5 8 6
133.0 108.0 8 2 83.0 38 29
132.5 1 107.5 82.5 3 3
132.0 107.0 82.0 15 14
131.5 106.5 6 81.5 11 10
131.0 106.0 1 81.0 10 10
130.5 105.5 6 2 80.5 17 17
130.0 105.0 80.0 5 6
129.5 104.5 9 2 79.5 13 17
129.0 1 104.0 4 1 79.0 9 4
128.5 103.5 78.5 14 18
128.0 103.0 11 2 78.0 23 8
127.5 102.5 77.5 10 7
127.0 102.0 18 4 77.0 27 26
126.5 101.5 1 76.5 10 7
126.0 101.0 10 5 76.0 8 11
125.5 1 100.5 4 75.5 5 5
American Mathematics Competitions
2005 AMC 12 B Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 7 50.0 1 25.0
74.5 19 14 49.5 2 1 24.5
74.0 9 5 49.0 1 24.0 1 1
73.5 15 7 48.5 1 23.5
73.0 2 12 48.0 2 5 23.0
72.5 9 4 47.5 1 1 22.5 1
72.0 14 8 47.0 1 3 22.0
71.5 8 4 46.5 1 21.5
71.0 20 7 46.0 1 21.0
70.5 4 45.5 1 20.5
70.0 6 9 45.0 20.0
69.5 6 4 44.5 1 1 19.5
69.0 8 7 44.0 2 19.0
68.5 7 6 43.5 1 18.5
68.0 5 5 43.0 1 18.0
67.5 3 4 42.5 17.5
67.0 6 4 42.0 2 5 17.0
66.5 3 9 41.5 1 16.5
66.0 10 12 41.0 1 16.0
65.5 6 3 40.5 1 15.5
65.0 5 5 40.0 1 15.0
64.5 7 4 39.5 1 14.5
64.0 1 3 39.0 14.0
63.5 3 2 38.5 1 13.5
63.0 3 4 38.0 13.0
62.5 6 5 37.5 12.5
62.0 1 2 37.0 12.0
61.5 4 2 36.5 11.5
61.0 3 3 36.0 1 4 11.0
60.5 2 3 35.5 10.5
60.0 7 4 35.0 1 10.0
59.5 1 2 34.5 9.5
59.0 2 1 34.0 1 9.0
58.5 1 1 33.5 8.5
58.0 3 1 33.0 8.0
57.5 2 2 32.5 1 7.5
57.0 1 5 32.0 7.0
56.5 4 2 31.5 6.5
56.0 4 31.0 6.0
55.5 2 1 30.5 5.5
55.0 4 1 30.0 1 5.0
54.5 1 1 29.5 1 4.5
54.0 1 3 29.0 4.0
53.5 1 1 28.5 3.5
53.0 1 28.0 3.0
52.5 2 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 1 1 26.0 1.0
50.5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
134.5 1
132.5 1
129.0 1
125.5 1
124.0 1
122.5 1
122.0 1
121.5 1
120.5 1
119.5 1
117.0 1
114.5 1
113.5 2
112.5 1 1 1
111.5 1 1 3
111.0 1
110.0 1
109.0 3 1 2 2
108.5 1 1
108.0 2 9
106.5 1 5
106.0 1
105.5 2 1 5
104.5 2 9
104.0 1 2 2
103.0 1 7 5
102.0 1 4 9 9
101.5 1
101.0 1 9 5
100.5 1 1 2
100.0 1
99.5 1 1 12 5
99.0 1
98.5 4 10 13 1
98.0 3 1
97.5 5 2
97.0 2 3 7
96.5 1
96.0 1 4 15 20
95.5 2 1
95.0 4 20 22
94.5 1 4 4
94.0 1 1 7 7
93.5 2 4 6 1
92.5 1 3 31 17 3
92.0 2 2
91.5 1 13 10
91.0 1 7 1
90.5 1 1 7 8 1
90.0 1 4 10 20 1
89.5 2 2
89.0 3 13 23 30 1
88.5 5 8
88.0 2 14 10
87.5 1 14 11 3
87.0 1 6 6
86.5 8 18 15 1
86.0 1 6 1
85.5 1 2 28 17 5
85.0 1 9 8
84.5 17 8 2
84.0 1 7 28 16
83.5 7 7
83.0 1 7 32 29 2
82.5 1 6 1
82.0 2 17 11
81.5 1 3 12 5
81.0 2 10 9 2
80.5 2 17 18 2
80.0 1 5 6
79.5 1 18 12 3
79.0 1 6 8
78.5 1 1 20 10 4
78.0 1 12 19
77.5 12 5
77.0 1 5 30 19 1
76.5 10 7
76.0 3 10 7 1
75.5 7 4 1
75.0 2 11 3 2
74.5 5 20 9 2
74.0 1 10 3 2
73.5 2 13 7 2
73.0 1 6 8 2
72.5 2 5 7 1
72.0 1 12 10
71.5 7 5
71.0 1 15 13 1
70.5 3 2
70.0 1 1 8 5
69.5 6 4 1
69.0 1 1 9 4 1
68.5 3 6 4 1
68.0 1 5 5
67.5 1 2 3 1 3
67.0 1 3 7
66.5 1 7 5 1
66.0 15 6 2
65.5 10 1 1
65.0 1 2 5 2
64.5 1 6 4
64.0 1 1 2
63.5 3 2
63.0 1 6
62.5 1 6 5
62.0 4
61.5 1 1 4 1
61.0 1 2 3
60.5 4 1 2
60.0 3 8 1
59.5 2 1
59.0 2 1
58.5 1 2 1
58.0 3 1
57.5 4
57.0 4 2
56.5 1 3 2
56.0 2 2 1
55.5 1 2
55.0 2 3
54.5 1 1
54.0 3 1 1
53.5 1 1
53.0 1
52.5 1 1
52.0 1 1
51.0 1 1
50.5 2 1 1
50.0 1
49.5 4
49.0 1
48.5 1
48.0 7 1
47.5 1 1
47.0 4
46.5 1
46.0 1
45.5 1
44.5 2
44.0 1 1
43.5 1
43.0 1
42.0 5 2
41.5 1 1
41.0 1
40.5 1
40.0 1
39.5 1
38.5 1
36.0 1 2 2
35.0 1
34.0 1
32.5 1
32.0 1
30.0 1
29.5 1
24.0 1 1
22.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Minnesota
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 9.16* 0.18 0.31 0.10 0.20 0.05 0.00
2 0.08 0.14 0.08 9.02* 0.15 0.54 0.00
3 0.08 0.03 8.91* 0.17 0.37 0.44 0.00
4 0.11 8.95* 0.10 0.18 0.21 0.44 0.01
5 7.35* 0.10 0.86 0.05 0.07 1.57 0.00
6 2.64* 0.90 0.55 0.35 0.21 5.34 0.01
7 0.92 1.52 0.25 1.82* 0.43 5.05 0.01
8 1.37 1.59 4.14* 0.02 0.89 1.99 0.00
9 0.44 7.55* 0.27 0.39 0.23 1.13 0.00
10 0.16 0.51 0.10 2.24 2.60* 4.38 0.00
11 1.46 0.80 0.58 4.40* 0.48 2.28 0.00
12 0.23 0.63 0.64 0.52* 0.10 7.86 0.00
13 0.42 0.26 0.25 0.90* 0.17 8.01 0.00
14 0.73 1.08 0.48 0.30 0.79* 6.61 0.01
15 0.50 0.31 0.34 4.87* 0.38 3.60 0.00
16 0.17 0.15 0.56 0.43* 0.22 8.47 0.00
17 0.23 0.40* 0.19 0.11 0.61 8.45 0.00
18 1.39 0.36 0.35* 0.18 0.17 7.54 0.00
19 0.22 0.13 0.16 0.28 1.97* 7.23 0.01
20 0.16 0.24 4.06* 0.64 1.66 3.24 0.00
21 0.20 0.17 0.33* 0.31 0.17 8.81 0.00
22 0.37 0.64 0.13 0.15 0.09* 8.62 0.00
23 0.12 0.15* 0.18 0.13 0.09 9.33 0.00
24 0.29* 0.23 0.23 0.21 0.21 8.83 0.00
25 0.23* 0.27 0.16 0.22 0.32 8.80 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
