American Mathematics Competitions
2005 AMC 10 A Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 655
Number of unofficial participants: 12
Average score of participants: 72.5
Average score for female students is: 67.4 ( 244 Students)
Average score for male students is: 75.6 ( 349 Students)
Average score for unspecified gender is 75.3 ( 62 Students)
Average score for grade 10 is: 74.7 ( 315 Students)
Average score for grade 9 is: 71.3 ( 246 Students)
Average score for grade 8 and below is: 61.1 ( 45 Students)
Average score with unknown grade: 75.0 ( 49 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 8
Number of schools returning results 45
Average school winning score 97.14
American Mathematics Competitions
2005 AMC 12 A Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1294
Number of unofficial participants: 8
Average score of participants: 77.9
Average score for female students is: 73.2 ( 483 Students)
Average score for male students is: 80.8 ( 722 Students)
Average score for unspecified gender is 79.4 ( 89 Students)
Average score for grade 13 is: 54.0 ( 1 Student)
Average score for grade 12 is: 78.7 ( 575 Students)
Average score for grade 11 is: 77.3 ( 505 Students)
Average score for grade 10 is: 76.5 ( 122 Students)
Average score for grade 9 is: 72.8 ( 21 Students)
Average score with unknown grade: 80.4 ( 70 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 137
Number of schools returning results 59
Average school winning score 105.45
Average school team score 293.13
American Mathematics Competitions
2005 AMC 10 B Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 357
Number of unofficial participants: 0
Average score of participants: 78.3
Average score for female students is: 76.6 ( 190 Students)
Average score for male students is: 79.9 ( 149 Students)
Average score for unspecified gender is 83.0 ( 18 Students)
Average score for grade 10 is: 81.1 ( 210 Students)
Average score for grade 9 is: 73.0 ( 138 Students)
Average score for grade 8 and below is: 111.8 ( 2 Students)
Average score with unknown grade: 87.6 ( 7 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 21
Average school winning score 103.74
American Mathematics Competitions
2005 AMC 12 B Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 459
Number of unofficial participants: 0
Average score of participants: 82.5
Average score for female students is: 78.9 ( 211 Students)
Average score for male students is: 85.6 ( 232 Students)
Average score for unspecified gender is 85.1 ( 16 Students)
Average score for grade 12 is: 81.5 ( 244 Students)
Average score for grade 11 is: 83.5 ( 173 Students)
Average score for grade 10 is: 85.2 ( 29 Students)
Average score for grade 9 is: 95.3 ( 3 Students)
Average score with unknown grade: 80.3 ( 10 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 56
Number of schools returning results 26
Average school winning score 107.44
Average school team score 298.15
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
394.5 1 1
393.5 1 2
392.5 1 3
385.5 1 4
353.0 1 5
344.0 1 6
339.0 1 7
338.5 1 8
337.0 1 9
330.5 1 10
330.0 1 11
328.0 2 12
326.5 1 14
323.5 2 15
321.0 1 17
320.0 1 18
318.5 1 19
316.0 1 20
315.0 1 1 21
314.5 1 23
313.0 1 24
312.5 2 25
311.0 1 27
310.0 1 28
309.5 2 29
309.0 1 31
308.0 1 32
307.0 2 33
306.0 1 35
305.0 1 36
304.0 1 37
303.5 1 38
303.0 1 39
302.5 1 2 40
301.5 2 43
299.5 1 45
298.5 1 46
295.5 1 47
295.0 2 48
291.5 1 50
289.5 1 51
286.0 1 52
284.0 1 53
283.0 2 54
282.0 1 56
281.5 1 57
280.5 1 58
277.0 1 59
276.5 1 60
274.5 1 61
273.0 1 1 62
271.5 1 64
270.5 1 65
270.0 1 66
268.5 2 67
267.5 1 69
266.0 1 70
265.0 1 71
264.5 1 72
263.5 1 73
262.5 1 74
259.5 1 75
256.5 1 1 76
250.5 1 78
242.5 1 79
239.0 1 80
238.5 1 81
238.0 1 82
233.0 1 83
175.5 1 84
72.0 1 85
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
144.0 1
139.5 2
137.0 1
136.0 1 1
133.5 1
130.0 2 1
129.0 1 1
128.5 1
126.5 2 1
126.0 1
125.5 2
125.0 1 1
124.0 1
123.0 1
122.5 1 3
122.0 2 1
121.5 1
120.5 2
119.5 1 1 2
119.0 1
118.5 3 1 1
118.0 1 1
117.0 1 1 2 1
116.0 1 1 1
115.5 1
115.0 1
114.5 1 1 2
113.5 3 1
113.0 1
112.5 4 1 1 1
112.0 1 1
111.5 4 1 2
111.0 1 2 1 4
110.0 6 1 1
109.0 7 1 1
108.5 2 1 1
108.0 8 4 1 2
107.5 5 1 2 1
106.5 7 3 1
106.0 2
105.5 4 5 1 2
105.0 1 2
104.5 5 3 1 1
104.0 2 2 4 2
103.0 11 6 1 2
102.5 1 1
102.0 16 4 5 4
101.5 1 3 1
101.0 13 4 1
100.5 10 5 1 3
99.5 7 6 3 4
98.5 13 3 4 1
98.0 7 3 2 2
97.5 2 3 2 1
97.0 5 4 2 3
96.5 1 1
96.0 9 2 5 4
95.5 3 2 2
95.0 23 9 7 4
94.5 3 1 4
94.0 7 4 2 2
93.5 12 2 5 3
93.0 1 1 1
92.5 18 10 9 3
92.0 2 1 4 2
91.5 13 5 4 7
91.0 11 5 4 4
90.5 9 2 1 1
90.0 19 14 6 8
89.5 4 1 2 2
89.0 30 20 3 8
88.5 5 2 2 5
88.0 17 8 7 4
87.5 14 10 5 6
87.0 11 5 3 2
86.5 27 14 6 10
86.0 2 4 2 3
85.5 20 14 10 4
85.0 8 2 5 5
84.5 22 8 7 1
84.0 16 7 10 3
83.5 10 4 3 4
83.0 34 13 9 2
82.5 3 1 2 1
82.0 27 7 2 2
81.5 8 3 3 2
81.0 8 4 7 4
80.5 14 10 6 6
80.0 11 6 5 5
79.5 19 12 7 11
79.0 6 3 1 1
78.5 27 5 13 2
78.0 12 6 8 7
77.5 21 5 8 2
77.0 22 6 10 8
76.5 11 1 3 2
76.0 23 6 2 4
75.5 10 5 2 4
75.0 20 4 8 4
74.5 17 8 5 5
74.0 15 7 3 1
73.5 15 5 15 5
73.0 6 5 11 1
72.5 16 4 6 1
72.0 12 2 7 1
71.5 8 4 9 4
71.0 15 5 10 10
70.5 7 2 3 2
70.0 13 3 11 4
69.5 7 4 3 4
69.0 16 5 8 3
68.5 18 1 13 4
68.0 7 2 13 3
67.5 15 4 9 9
67.0 6 4 9 2
66.5 13 3 8 5
66.0 17 3 7 6
65.5 9 2 10 2
65.0 15 3 11 7
64.5 6 3 8 1
64.0 12 3 7 3
63.5 5 4 4 1
63.0 8 2 3 1
62.5 6 1 5 2
62.0 5 2 3
61.5 14 2 11 2
61.0 13 3 5 3
60.5 17 3 8 4
60.0 11 4 6 4
59.5 8 1 5 2
59.0 13 4 7 1
58.5 8 1 6 2
58.0 6 1 5 1
57.5 6 1 6 1
57.0 7 1 4 3
56.5 8 2 2
56.0 4 2 4
55.5 4 5 2
55.0 3 1 4 2
54.5 5 3
54.0 7 4 8 1
53.5 5 6 1
53.0 7 2 3
52.5 3 1 2 1
52.0 2 2 4 1
51.5 7 2
51.0 3 1 1
50.5 5 4 1
50.0 5 1
49.5 3 1 5
49.0 3 1 2 2
48.5 3 3
48.0 10 3 6 2
47.5 2 1
47.0 4 2 2
46.5 2 2 1
46.0 3 1
45.5 1
45.0 1 2 1
44.5 2
44.0 2
43.5 1 3
43.0 3
42.5 2 2 1
42.0 5 6
41.5 2
41.0 1
40.5 1 1
40.0 1
39.5 1
39.0 2 1
38.5 2 1
38.0 1 3
37.5 1 2
37.0 1
36.5 1 1
36.0 8 1 5 1
35.5 1
35.0 1 1 1
34.0 3
33.5 1
32.5 1
31.5 1
30.5 1 2
30.0 5 1 5
29.0 1
26.5 1
25.5 1
24.5 1
24.0 2 1 1
20.5 1
18.0 2 1
American Mathematics Competitions
2005 AMC 10 A Results for Wisconsin
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 1
149.0 124.0 99.0
148.5 123.5 98.5 2 2
148.0 123.0 98.0 1 1
147.5 122.5 3 97.5 1 1
147.0 122.0 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 4 1
145.5 120.5 95.5 1 1
145.0 120.0 95.0 5 2
144.5 119.5 1 94.5 3
144.0 119.0 1 94.0 2
143.5 118.5 1 93.5 4 1
143.0 118.0 93.0 1
142.5 117.5 92.5 7 1
142.0 117.0 2 92.0 3
141.5 116.5 91.5 2 2
141.0 116.0 91.0 3 1
140.5 115.5 90.5 1
140.0 115.0 90.0 5
139.5 114.5 2 89.5 1 1
139.0 114.0 89.0 2
138.5 113.5 1 88.5 2
138.0 113.0 1 88.0 3 3
137.5 112.5 1 87.5 3
137.0 112.0 1 87.0 1 1
136.5 111.5 86.5 4 1
136.0 111.0 1 86.0 1
135.5 110.5 85.5 4 5
135.0 110.0 1 85.0 3 1
134.5 109.5 84.5 4 3
134.0 109.0 84.0 5 3
133.5 108.5 83.5 3
133.0 108.0 1 83.0 6 3
132.5 107.5 2 82.5 1 1
132.0 107.0 82.0 2
131.5 106.5 1 81.5 2 1
131.0 106.0 2 81.0 4 2
130.5 105.5 1 80.5 4 2
130.0 1 105.0 2 80.0 3 2
129.5 104.5 1 79.5 4 3
129.0 104.0 3 79.0
128.5 1 103.5 78.5 7 4
128.0 103.0 1 78.0 5 3
127.5 102.5 77.5 5 3
127.0 102.0 4 1 77.0 3 6
126.5 101.5 1 76.5 2 1
126.0 1 101.0 1 76.0 1
125.5 100.5 1 75.5
American Mathematics Competitions
2005 AMC 10 A Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 3 50.0 2 3 25.0
74.5 5 49.5 2 3 24.5 1
74.0 3 49.0 1 1 24.0 1
73.5 6 8 48.5 2 23.5
73.0 5 3 48.0 5 1 23.0
72.5 3 2 47.5 1 22.5
72.0 3 2 47.0 1 1 22.0
71.5 4 5 46.5 1 21.5
71.0 7 3 46.0 21.0
70.5 1 2 45.5 20.5
70.0 7 2 45.0 2 20.0
69.5 2 44.5 1 19.5
69.0 5 3 44.0 19.0
68.5 6 5 43.5 1 2 18.5
68.0 7 5 43.0 18.0
67.5 6 3 42.5 1 1 17.5
67.0 3 6 42.0 4 2 17.0
66.5 3 3 41.5 1 16.5
66.0 2 4 41.0 1 16.0
65.5 4 4 40.5 1 15.5
65.0 9 40.0 15.0
64.5 3 3 39.5 14.5
64.0 6 1 39.0 1 14.0
63.5 2 2 38.5 1 1 13.5
63.0 3 38.0 1 2 13.0
62.5 4 37.5 2 12.5
62.0 1 2 37.0 1 12.0
61.5 5 4 36.5 11.5
61.0 4 1 36.0 4 1 11.0
60.5 6 2 35.5 1 10.5
60.0 3 2 35.0 1 10.0
59.5 5 34.5 9.5
59.0 1 6 34.0 9.0
58.5 2 4 33.5 8.5
58.0 1 4 33.0 8.0
57.5 5 1 32.5 7.5
57.0 1 3 32.0 7.0
56.5 1 31.5 6.5
56.0 1 1 31.0 6.0
55.5 2 3 30.5 2 5.5
55.0 1 2 30.0 3 2 5.0
54.5 2 1 29.5 4.5
54.0 3 5 29.0 1 4.0
53.5 2 4 28.5 3.5
53.0 2 28.0 3.0
52.5 1 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 1 1 26.5 1 1.5
51.0 1 26.0 1.0
50.5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
130.0 1
128.5 1
126.0 1
125.0 1
122.5 2 1
121.5 1
119.5 1
119.0 1
118.5 1
117.0 2
114.5 2
113.5 1
113.0 1
112.5 1
112.0 1
111.0 1
110.0 1
108.5 1
108.0 1
107.5 1 1
106.5 1
106.0 1 1
105.5 1
105.0 2
104.5 1
104.0 2 1 1
103.0 1
102.0 1 4
101.5 1
101.0 1
100.5 1
99.5 2 1
98.5 1 3
98.0 1 1
97.5 1 1
97.0 2
96.5 1
96.0 2 3
95.5 2
95.0 1 3 3
94.5 1 2 1
94.0 2
93.5 1 3 1
93.0 1
92.5 5 4
92.0 3 1
91.5 2 2
91.0 4
90.5 1
90.0 3 3
89.5 1 1
89.0 3
88.5 1 1
88.0 1 2 4
87.5 2 1 2
87.0 1 1 1
86.5 3 2 1
86.0 1 1
85.5 2 7 1
85.0 2 2 1
84.5 3 4
84.0 3 6 1
83.5 2 1
83.0 1 3 5
82.5 1 1
82.0 2
81.5 1 1 1
81.0 1 5 1
80.5 2 4
80.0 5
79.5 4 3
79.0 1
78.5 5 6 2
78.0 1 7
77.5 4 4
77.0 7 2 1
76.5 3
76.0 1 1
75.5 1 1
75.0 3 5
74.5 1 2 2
74.0 1 2
73.5 6 8 1
73.0 1 2 5 3
72.5 5 1
72.0 3 2 2
71.5 1 4 4
71.0 2 8
70.5 1 1 1
70.0 5 6
69.5 2 1
69.0 1 1 5 1
68.5 4 8 1
68.0 1 5 6 1
67.5 1 5 3
67.0 3 1 3 2
66.5 2 5 1
66.0 4 2 1
65.5 1 7 2
65.0 5 6
64.5 1 1 2 3 1
64.0 2 5
63.5 4
63.0 1 1 1
62.5 1 3 1
62.0 1 2
61.5 1 5 5
61.0 1 2 2
60.5 1 1 4 2
60.0 1 1 4
59.5 1 2 2
59.0 1 2 4
58.5 1 2 3
58.0 4 1
57.5 1 1 3 1
57.0 1 1 2
56.5 1 1
56.0 1 1
55.5 1 2 2
55.0 1 1 1 1
54.5 2 1
54.0 7 1
53.5 2 4
53.0 1 1
52.5 1 1
52.0 1 3
51.5 1 1
51.0 1
50.5 1 2 1
50.0 3 2
49.5 1 1 1 1 1
49.0 1 1
48.5 1 1 1
48.0 1 1 4
47.5 1
47.0 2
46.5 1 1
45.0 1 1
44.5 1 1
43.5 1 2
42.5 1 1
42.0 1 3 1 1
41.5 1 1
41.0 1
40.5 1
39.0 1
38.5 2
38.0 3
37.5 1 1
37.0 1
36.0 4 1
35.5 1
35.0 1
30.5 2
30.0 3 2
29.0 1
26.5 1
24.5 1
24.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Wisconsin
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 0.18 0.17 0.32 8.69* 0.46 0.18 0.00
2 0.23 0.20 4.87* 0.05 1.69 2.96 0.00
3 0.09 8.37* 0.35 0.40 0.18 0.61 0.00
4 0.55 1.68* 1.92 0.50 0.66 4.69 0.00
5 5.76* 0.43 3.60 0.09 0.05 0.08 0.00
6 0.32 4.93* 3.30 0.24 0.06 1.15 0.00
7 0.75 3.88* 0.40 0.29 0.98 3.71 0.00
8 1.15 0.20 3.80* 0.26 0.18 4.40 0.02
9 1.34 5.73* 0.85 0.26 0.15 1.66 0.00
10 1.40* 0.53 1.13 0.35 0.14 6.43 0.02
11 0.47 2.21* 0.32 0.95 0.08 5.97 0.00
12 0.26 1.15* 0.67 0.31 0.52 7.10 0.00
13 1.51 0.63 0.24 0.31 1.08* 6.23 0.00
14 0.82 0.56 0.44 0.43 2.81* 4.93 0.00
15 0.43 0.75 0.76 1.16 1.10* 5.79 0.02
16 0.69 0.46 0.70 1.86* 0.09 6.18 0.02
17 0.32 0.34 0.41 1.80* 0.41 6.72 0.00
18 1.16* 1.83 1.22 3.28 0.24 2.26 0.00
19 0.35 0.81 0.66 3.37* 0.73 4.08 0.00
20 0.73* 0.49 0.53 0.26 0.32 7.66 0.00
21 1.37 0.73* 0.34 0.29 0.55 6.72 0.00
22 0.76 0.52 0.24 2.40* 0.56 5.51 0.00
23 0.23 0.52 1.45* 1.02 0.70 6.06 0.02
24 1.02 0.92* 0.32 0.14 0.12 7.48 0.00
25 0.40 0.76 0.87 0.81* 0.14 7.01 0.02
(*) 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 Wisconsin
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 6 1
149.0 124.0 99.0
148.5 123.5 98.5 11 2
148.0 123.0 98.0 5
147.5 122.5 1 97.5 1 1
147.0 122.0 2 97.0 3 2
146.5 121.5 96.5 1
146.0 121.0 96.0 6 2
145.5 120.5 2 95.5 3
145.0 120.0 95.0 13 6
144.5 119.5 94.5 3
144.0 1 119.0 94.0 2 5
143.5 118.5 2 1 93.5 7 3
143.0 118.0 1 93.0 1
142.5 117.5 92.5 13 3
142.0 117.0 1 92.0 2
141.5 116.5 91.5 7 4
141.0 116.0 91.0 9 1
140.5 115.5 90.5 4 4
140.0 115.0 90.0 14 5
139.5 2 114.5 1 89.5 2 1
139.0 114.0 89.0 20 7
138.5 113.5 2 1 88.5 5
138.0 113.0 88.0 12 5
137.5 112.5 4 87.5 9 4
137.0 1 112.0 1 87.0 3 8
136.5 111.5 2 1 86.5 22 4
136.0 1 111.0 1 86.0 2
135.5 110.5 85.5 12 7
135.0 110.0 4 2 85.0 4 3
134.5 109.5 84.5 17 2
134.0 109.0 5 1 84.0 9 4
133.5 108.5 2 83.5 7 3
133.0 108.0 7 1 83.0 24 9
132.5 107.5 4 1 82.5 3
132.0 107.0 82.0 14 11
131.5 106.5 4 3 81.5 7
131.0 106.0 81.0 4 3
130.5 105.5 1 1 80.5 10 4
130.0 2 105.0 80.0 6 5
129.5 104.5 3 2 79.5 11 7
129.0 1 104.0 2 79.0 5
128.5 103.5 78.5 14 12
128.0 103.0 8 3 78.0 5 6
127.5 102.5 1 77.5 7 12
127.0 102.0 13 2 77.0 13 5
126.5 1 101.5 1 76.5 3 6
126.0 101.0 9 3 76.0 9 13
125.5 1 1 100.5 9 75.5 6 4
American Mathematics Competitions
2005 AMC 12 A Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 9 11 50.0 25.0
74.5 10 6 49.5 1 2 24.5
74.0 7 8 49.0 2 1 24.0 1 1
73.5 6 7 48.5 2 1 23.5
73.0 5 1 48.0 5 5 23.0
72.5 6 10 47.5 1 1 22.5
72.0 6 5 47.0 2 1 22.0
71.5 2 6 46.5 2 21.5
71.0 6 7 46.0 3 21.0
70.5 3 2 45.5 1 20.5 1
70.0 5 6 45.0 20.0
69.5 2 5 44.5 19.5
69.0 7 8 44.0 2 19.0
68.5 7 10 43.5 18.5
68.0 5 2 43.0 1 2 18.0 2
67.5 9 6 42.5 2 17.5
67.0 2 4 42.0 2 2 17.0
66.5 7 6 41.5 16.5
66.0 8 9 41.0 16.0
65.5 4 4 40.5 1 15.5
65.0 10 5 40.0 15.0
64.5 3 2 39.5 14.5
64.0 3 9 39.0 1 1 14.0
63.5 2 3 38.5 13.5
63.0 1 6 38.0 1 13.0
62.5 2 3 37.5 12.5
62.0 4 37.0 12.0
61.5 6 8 36.5 1 11.5
61.0 6 7 36.0 6 1 11.0
60.5 9 7 35.5 10.5
60.0 5 5 35.0 1 10.0
59.5 3 3 34.5 9.5
59.0 7 5 34.0 2 1 9.0
58.5 3 4 33.5 1 8.5
58.0 4 2 33.0 8.0
57.5 1 5 32.5 1 7.5
57.0 4 2 32.0 7.0
56.5 4 4 31.5 6.5
56.0 2 2 31.0 6.0
55.5 1 3 30.5 1 5.5
55.0 2 1 30.0 2 2 5.0
54.5 2 3 29.5 4.5
54.0 2 5 29.0 4.0
53.5 2 2 28.5 3.5
53.0 4 3 28.0 3.0
52.5 2 1 27.5 2.5
52.0 2 27.0 2.0
51.5 2 4 26.5 1.5
51.0 1 2 26.0 1.0
50.5 2 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
139.5 2
137.0 1
136.0 1
133.5 1
130.0 1 1
129.0 1
126.5 1 1
125.5 1 1
125.0 1
122.5 1
122.0 2
120.5 1 1
118.5 1 2
118.0 1
117.0 1
116.0 1
114.5 1
113.5 3
112.5 1 3
112.0 1
111.5 1 3
111.0 1
110.0 3 3
109.0 1 1 4 1
108.5 2
108.0 3 5
107.5 1 1 3
106.5 4 3
105.5 1 2 1
104.5 1 3 1
104.0 1 1
103.0 2 9
102.5 1
102.0 2 5 8 1
101.5 1
101.0 3 9 1
100.5 1 4 5
99.5 2 2 3
98.5 1 3 9
98.0 1 1 4 1
97.5 1 1
97.0 3 2
96.5 1
96.0 5 3 1
95.5 1 2
95.0 1 8 12 2
94.5 1 2
94.0 1 2 4
93.5 3 6 2 1
93.0 1
92.5 6 11 1
92.0 1 1
91.5 7 4 2
91.0 1 3 5 2
90.5 3 5 1
90.0 2 8 9
89.5 2 1 1
89.0 12 14 4
88.5 1 4
88.0 7 10
87.5 2 3 7 2
87.0 2 6 3
86.5 1 2 14 9 1
86.0 1 1
85.5 2 9 7 2
85.0 5 3
84.5 4 8 8 2
84.0 1 2 4 8 1
83.5 2 8
83.0 2 7 24 1
82.5 1 1 1
82.0 1 16 7 3
81.5 2 5 1
81.0 3 4 1
80.5 7 7
80.0 1 1 8 1
79.5 4 5 9 1
79.0 4 1 1
78.5 2 3 12 9 1
78.0 2 4 6
77.5 5 5 9 2
77.0 1 1 6 10 4
76.5 1 1 4 4 1
76.0 1 13 8 1
75.5 1 6 3
75.0 3 11 6
74.5 3 8 6
74.0 1 2 10 2
73.5 1 6 7 1
73.0 1 1 4
72.5 4 6 6
72.0 2 1 2 6 1
71.5 1 4 3
71.0 9 5 1
70.5 2 1 2 2
70.0 1 6 4 2
69.5 1 3 3
69.0 2 4 5 4 1
68.5 1 2 2 12 1
68.0 1 4 2
67.5 1 8 6
67.0 1 1 4
66.5 1 7 5
66.0 9 8
65.5 1 4 3 1
65.0 1 9 5
64.5 1 1 3 1
64.0 4 3 5
63.5 2 2 1
63.0 1 4 2 1
62.5 1 3 2
62.0 1 1 2 1
61.5 2 7 5
61.0 7 6
60.5 1 1 8 7
60.0 2 5 4
59.5 1 3 1 3
59.0 9 4
58.5 1 4 2 1
58.0 2 2 2
57.5 1 1 4
57.0 1 5 1
56.5 1 1 6
56.0 2 2
55.5 2 2
55.0 1 1 1
54.5 1 1 1 2
54.0 6 1
53.5 1 3 1
53.0 3 4
52.5 1 2
52.0 1 1
51.5 2 2 3
51.0 1 2
50.5 1 3 1
49.5 2 1
49.0 3
48.5 2 1
48.0 3 1 5 1
47.5 1 1
47.0 4
46.5 2
46.0 2 1
45.5 1
45.0 1
44.0 2
43.0 2 1
42.5 2
42.0 4 1
40.5 1
39.0 1 1
38.0 1
36.5 1
36.0 2 4 2
35.0 1
34.0 1 2
33.5 1
32.5 1
31.5 1
30.5 1
30.0 4 1
24.0 1 1
20.5 1
18.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Wisconsin
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 0.03 0.03 0.12 9.52* 0.10 0.20 0.00
2 0.01 9.47* 0.22 0.16 0.02 0.12 0.00
3 0.46 4.00* 1.21 0.38 0.53 3.42 0.00
4 6.75* 0.25 2.82 0.07 0.05 0.05 0.00
5 0.23 6.97* 1.92 0.13 0.09 0.66 0.00
6 0.43 5.06* 0.25 0.46 0.84 2.96 0.00
7 0.66 0.19 6.65* 0.09 0.11 2.31 0.00
8 0.32 0.43 0.38 1.91* 0.30 6.66 0.00
9 3.38* 0.48 1.00 0.29 0.18 4.67 0.00
10 0.39 3.16* 0.18 0.78 0.11 5.38 0.00
11 1.10 0.46 0.37 0.46 3.05* 4.57 0.00
12 1.09 0.24 0.26 3.70* 1.04 3.67 0.00
13 0.15 0.36 0.53 3.10* 0.32 5.54 0.00
14 0.39 0.50 3.19 1.33* 0.53 4.06 0.00
15 0.22 0.40 1.48* 0.80 0.83 6.26 0.00
16 0.26 0.34 0.97 0.69* 0.36 7.38 0.00
17 2.19* 0.80 1.32 0.43 0.29 4.97 0.00
18 0.27* 0.44 0.30 0.37 0.30 8.32 0.00
19 1.01 2.56* 0.97 0.56 0.94 3.96 0.00
20 0.44 0.12 0.26 0.14 0.22* 8.82 0.00
21 0.53 0.53 0.39* 0.30 0.07 8.19 0.00
22 0.39 0.60* 0.29 0.38 0.21 8.14 0.00
23 0.53 0.56* 0.24 0.37 0.50 7.81 0.00
24 0.19 0.19* 0.21 0.26 0.09 9.07 0.00
25 0.36 0.31 0.23* 0.33 0.15 8.62 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 Wisconsin
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 3
149.0 124.0 1 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0 2
147.5 122.5 97.5 1
147.0 122.0 1 97.0 2 1
146.5 121.5 96.5
146.0 121.0 96.0 1 3
145.5 120.5 95.5
145.0 120.0 95.0 4
144.5 119.5 2 94.5
144.0 119.0 94.0 2
143.5 118.5 93.5 2 1
143.0 118.0 93.0 1
142.5 117.5 92.5 1 2
142.0 117.0 1 92.0 2
141.5 116.5 91.5 1 6
141.0 116.0 1 91.0 2 2
140.5 115.5 1 90.5 1
140.0 115.0 90.0 5 3
139.5 114.5 89.5 1 1
139.0 114.0 89.0 3 5
138.5 113.5 88.5 2 3
138.0 113.0 88.0 4
137.5 112.5 1 87.5 3 2
137.0 112.0 87.0 2
136.5 111.5 1 1 86.5 3 6
136.0 111.0 2 1 86.0 2 1
135.5 110.5 85.5 2 2
135.0 110.0 1 85.0 3 2
134.5 109.5 84.5 1
134.0 109.0 1 84.0 1 2
133.5 108.5 83.5 1 3
133.0 108.0 1 1 83.0 1 1
132.5 107.5 1 82.5 1
132.0 107.0 82.0 1
131.5 106.5 81.5 2
131.0 106.0 81.0 1 3
130.5 105.5 1 80.5 5 1
130.0 105.0 80.0 2 3
129.5 104.5 1 79.5 6 5
129.0 1 104.0 2 79.0 1
128.5 103.5 78.5 1 1
128.0 103.0 1 1 78.0 3 3
127.5 102.5 77.5 2
127.0 102.0 1 2 77.0 2 5
126.5 101.5 76.5 2
126.0 101.0 76.0 2 1
125.5 100.5 3 75.5 3
American Mathematics Competitions
2005 AMC 10 B Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 1 25.0
74.5 1 4 49.5 24.5
74.0 1 49.0 2 24.0 1
73.5 3 2 48.5 23.5
73.0 1 48.0 1 1 23.0
72.5 1 47.5 22.5
72.0 1 47.0 2 22.0
71.5 2 2 46.5 1 21.5
71.0 1 9 46.0 1 21.0
70.5 2 45.5 20.5
70.0 1 3 45.0 1 20.0
69.5 1 3 44.5 19.5
69.0 2 1 44.0 19.0
68.5 1 3 43.5 18.5
68.0 2 43.0 18.0 1
67.5 3 5 42.5 1 17.5
67.0 1 1 42.0 17.0
66.5 1 3 41.5 16.5
66.0 2 4 41.0 16.0
65.5 2 40.5 15.5
65.0 3 4 40.0 1 15.0
64.5 1 39.5 1 14.5
64.0 1 1 39.0 14.0
63.5 1 38.5 1 13.5
63.0 1 38.0 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 2 36.5 11.5
61.0 3 36.0 1 11.0
60.5 1 2 35.5 10.5
60.0 1 3 35.0 1 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 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 1 32.0 7.0
56.5 1 1 31.5 6.5
56.0 3 1 31.0 6.0
55.5 2 30.5 5.5
55.0 2 30.0 5.0
54.5 29.5 4.5
54.0 1 29.0 4.0
53.5 1 28.5 3.5
53.0 1 2 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
129.0 1
126.5 1
124.0 1
122.0 1
119.5 1 1
117.0 1
116.0 1
115.5 1
112.5 1
111.5 2
111.0 1 2 1
110.0 1
109.0 1
108.0 1 1
107.5 1
105.5 1 1
104.5 1
104.0 2
103.0 2
102.5 1
102.0 4
100.5 1 2
99.5 1 3
98.5 1
98.0 1 1
97.5 1
97.0 1 2
96.0 2 2
95.0 2 2
94.0 2
93.5 2 1
93.0 1
92.5 3
92.0 1 1
91.5 1 6
91.0 4
90.5 1
90.0 5 3
89.5 2
89.0 2 6
88.5 1 4
88.0 1 3
87.5 5 1
87.0 2
86.5 4 5 1
86.0 1 2
85.5 2 2
85.0 1 4
84.5 1
84.0 1 2
83.5 1 3
83.0 2
82.5 1
82.0 1 1
81.5 2
81.0 4
80.5 3 3
80.0 2 3
79.5 3 8
79.0 1
78.5 2
78.0 3 4
77.5 1 1
77.0 3 4 1
76.5 2
76.0 3 1
75.5 2 2
75.0 2 2
74.5 1 4
74.0 1
73.5 3 2
73.0 1
72.5 1
72.0 1
71.5 2 2
71.0 2 8
70.5 2
70.0 1 3
69.5 4
69.0 3
68.5 1 3
68.0 1 2
67.5 1 8
67.0 1 1
66.5 3 2
66.0 2 4
65.5 2
65.0 5 2
64.5 1
64.0 2 1
63.5 1
63.0 1
62.5 1 1
61.5 1 1
61.0 3
60.5 2 2
60.0 3 1
59.5 1 1
59.0 1
58.5 2
58.0 1
57.5 1
57.0 2 1
56.5 2
56.0 1 3
55.5 2
55.0 1 1
54.0 1
53.5 1
53.0 1 2
52.5 1
52.0 1
50.5 1
50.0 1
49.0 2
48.0 2
47.0 2
46.5 1
46.0 1
45.0 1
42.5 1
40.0 1
39.5 1
38.5 1
36.0 1
35.0 1
25.5 1
24.0 1
18.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Wisconsin
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 8.49* 0.39 0.22 0.17 0.62 0.11 0.00
2 0.20 0.22 0.14 8.35* 0.14 0.95 0.00
3 0.03 1.04 2.58 5.43* 0.56 0.36 0.00
4 0.98 0.06 0.67 3.70* 0.28 4.31 0.00
5 0.06 0.03 8.94* 0.28 0.34 0.36 0.00
6 0.11 8.32* 0.20 0.14 0.22 1.01 0.00
7 0.62 1.29* 0.25 0.78 0.78 6.27 0.00
8 4.51* 0.03 0.87 0.06 0.11 4.43 0.00
9 0.31 0.50 2.44 4.90* 0.31 1.54 0.00
10 1.29* 0.59 0.48 0.25 0.08 7.28 0.03
11 0.17 0.45 0.06 1.34 2.13* 5.85 0.00
12 0.50 0.76 0.34 0.11 0.42* 7.87 0.00
13 0.31 0.39 1.26* 1.18 0.39 6.47 0.00
14 0.20 0.20 1.34* 2.02 0.62 5.63 0.00
15 1.29 0.48 0.73 4.37* 0.56 2.58 0.00
16 0.20 0.48 0.53 0.22* 0.06 8.52 0.00
17 0.48 3.42* 0.92 0.25 0.03 4.87 0.03
18 0.36 5.18 0.76 1.93* 0.56 1.20 0.00
19 0.53 5.38* 0.34 0.25 0.48 3.00 0.03
20 0.53 0.22 0.48* 0.31 0.17 8.29 0.00
21 0.14* 0.14 0.14 0.31 0.20 9.08 0.00
22 0.36 0.70 0.25* 0.11 0.25 8.32 0.00
23 2.24 0.42 0.36* 0.20 0.14 6.64 0.00
24 0.36 0.08 0.14 0.22 1.06* 8.12 0.00
25 0.06 0.17 2.58* 0.25 0.22 6.72 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 Wisconsin
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 5 1
149.0 124.0 99.0
148.5 123.5 98.5 2 1
148.0 123.0 1 98.0 2 1
147.5 122.5 97.5 1 2
147.0 122.0 97.0 3 1
146.5 121.5 96.5
146.0 121.0 96.0 2
145.5 120.5 95.5 2
145.0 120.0 95.0 5 3
144.5 119.5 1 94.5 1
144.0 119.0 94.0 3
143.5 118.5 1 93.5 2
143.0 118.0 1 93.0
142.5 117.5 92.5 5 5
142.0 117.0 1 92.0
141.5 116.5 91.5 3 2
141.0 116.0 1 91.0 3 2
140.5 115.5 90.5 2
140.0 115.0 1 90.0 9 4
139.5 114.5 1 89.5
139.0 114.0 89.0 12 8
138.5 113.5 88.5 1 1
138.0 113.0 88.0 3 5
137.5 112.5 1 87.5 4 5
137.0 112.0 87.0 2 3
136.5 111.5 1 86.5 7 7
136.0 1 111.0 2 86.0 3 1
135.5 110.5 85.5 3 11
135.0 110.0 85.0 1 1
134.5 109.5 84.5 2 6
134.0 109.0 1 84.0 5 2
133.5 108.5 1 83.5 2 2
133.0 108.0 3 1 83.0 10 2
132.5 107.5 1 82.5 1
132.0 107.0 82.0 1 6
131.5 106.5 2 1 81.5 3
131.0 106.0 81.0 1 3
130.5 105.5 4 1 80.5 4 4
130.0 105.0 1 80.0 3 3
129.5 104.5 1 2 79.5 4 7
129.0 104.0 1 1 79.0 2 1
128.5 103.5 78.5 5
128.0 103.0 6 78.0 4 2
127.5 102.5 77.5 2 3
127.0 102.0 2 2 77.0 4 2
126.5 101.5 3 76.5 1
126.0 101.0 2 1 76.0 2 4
125.5 100.5 2 2 75.5 2 3
American Mathematics Competitions
2005 AMC 12 B Results for Wisconsin
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 5 49.5 1 24.5
74.0 4 3 49.0 1 24.0
73.5 1 3 48.5 23.5
73.0 1 2 48.0 1 2 23.0
72.5 4 47.5 22.5
72.0 2 47.0 22.0
71.5 2 2 46.5 21.5
71.0 3 2 46.0 21.0
70.5 1 1 45.5 20.5
70.0 1 2 45.0 20.0
69.5 1 2 44.5 19.5
69.0 1 4 44.0 19.0
68.5 1 43.5 1 18.5
68.0 2 43.0 18.0
67.5 1 3 42.5 17.5
67.0 2 2 42.0 17.0
66.5 3 41.5 16.5
66.0 3 41.0 16.0
65.5 1 1 40.5 15.5
65.0 1 2 40.0 15.0
64.5 3 39.5 14.5
64.0 1 2 39.0 14.0
63.5 1 3 38.5 13.5
63.0 2 38.0 13.0
62.5 1 37.5 1 12.5
62.0 1 1 37.0 12.0
61.5 1 1 36.5 1 11.5
61.0 3 36.0 1 11.0
60.5 1 2 35.5 10.5
60.0 1 3 35.0 10.0
59.5 1 34.5 9.5
59.0 2 2 34.0 9.0
58.5 1 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 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 1 5.0
54.5 29.5 4.5
54.0 4 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 1 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 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
123.0 1
119.5 1
118.5 1
118.0 1
117.0 1
116.0 1
115.0 1
114.5 1
112.5 1
111.5 1
111.0 2
109.0 1
108.5 1
108.0 2 2
107.5 1
106.5 1 2
105.5 1 4
105.0 1
104.5 2 1
104.0 1 1
103.0 1 2 3
102.0 2 2
101.5 2 1
101.0 2 1 1
100.5 2 3
99.5 1 1 3 1
98.5 2 1
98.0 3
97.5 3
97.0 1 3
96.0 2
95.5 2
95.0 6 2 1
94.5 1
94.0 1 2 1
93.5 2
92.5 1 9
92.0 1
91.5 1 3 1
91.0 3 2
90.5 2
90.0 7 6 1
89.5 1
89.0 1 7 12
88.5 2
88.0 1 2 5
87.5 1 3 5 1
87.0 3 2
86.5 1 5 8
86.0 3 1
85.5 2 5 7
85.0 1 1
84.5 1 4 3
84.0 3 4
83.5 1 3
83.0 2 6 5
82.5 1
82.0 2 5
81.5 2 1
81.0 1 1 2
80.5 1 3 5 1
80.0 2 1 3
79.5 1 4 7
79.0 1 2
78.5 1 2 2
78.0 3 3
77.5 1 4
77.0 2 4
76.5 1
76.0 2 4
75.5 3 2
75.0 1 3
74.5 1 2 5
74.0 1 6
73.5 2 1 1 1
73.0 2 1 1 1
72.5 1 3
72.0 1 1
71.5 2 2
71.0 2 3
70.5 2
70.0 1 2
69.5 2 1 1
69.0 2 3
68.5 1
68.0 2
67.5 1 3
67.0 4
66.5 2 1
66.0 2 1
65.5 1 1
65.0 1 2
64.5 1 2
64.0 3
63.5 1 3
63.0 2
62.5 1
62.0 1 1
61.5 1 1
61.0 1 2
60.5 2 1
60.0 2 2
59.5 1
59.0 1 2 1
58.5 1
58.0 1
57.5 1
57.0 1
55.0 1
54.0 1 3
52.5 1
52.0 2
51.0 1
49.5 1
49.0 1
48.0 1 2
43.5 1
37.5 1
36.5 1
36.0 1
30.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Wisconsin
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* 0.11 0.39 0.07 0.11 0.02 0.00
2 0.20 0.07 0.11 9.15* 0.17 0.31 0.00
3 0.09 0.00 9.15* 0.07 0.28 0.41 0.00
4 0.09 9.04* 0.26 0.15 0.09 0.37 0.00
5 7.60* 0.07 0.81 0.11 0.09 1.33 0.00
6 2.48* 0.72 0.46 0.33 0.33 5.69 0.00
7 0.96 1.68 0.20 2.14* 0.37 4.66 0.00
8 0.94 1.63 4.47* 0.11 1.11 1.74 0.00
9 0.41 7.56* 0.44 0.31 0.22 1.07 0.00
10 0.15 0.57 0.09 2.09 3.46* 3.64 0.00
11 1.26 0.92 0.70 4.47* 0.33 2.33 0.00
12 0.20 0.74 0.72 0.72* 0.15 7.47 0.00
13 0.44 0.22 0.20 1.61* 0.24 7.30 0.00
14 0.89 0.96 0.54 0.35 1.15* 6.10 0.00
15 0.59 0.20 0.37 4.77* 0.41 3.66 0.00
16 0.35 0.15 0.63 0.54* 0.33 8.00 0.00
17 0.35 0.50* 0.20 0.15 0.70 8.08 0.02
18 1.50 0.50 0.48* 0.26 0.28 6.97 0.00
19 0.20 0.15 0.17 0.37 2.22* 6.88 0.00
20 0.09 0.17 4.29* 0.52 2.20 2.72 0.00
21 0.20 0.28 0.46* 0.35 0.15 8.54 0.02
22 0.41 0.78 0.11 0.07 0.17* 8.43 0.02
23 0.07 0.17* 0.20 0.07 0.04 9.46 0.00
24 0.20* 0.13 0.48 0.20 0.31 8.69 0.00
25 0.35* 0.22 0.11 0.33 0.33 8.67 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column