American Mathematics Competitions
2005 AMC 10 A Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1306
Number of unofficial participants: 55
Average score of participants: 71.6
Average score for female students is: 69.6 ( 627 Students)
Average score for male students is: 73.9 ( 610 Students)
Average score for unspecified gender is 70.2 ( 69 Students)
Average score for grade 10 is: 71.5 ( 625 Students)
Average score for grade 9 is: 71.4 ( 580 Students)
Average score for grade 8 and below is: 76.7 ( 70 Students)
Average score with unknown grade: 67.4 ( 31 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 44
Average school winning score 94.75
American Mathematics Competitions
2005 AMC 12 A Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1976
Number of unofficial participants: 30
Average score of participants: 71.8
Average score for female students is: 68.4 ( 903 Students)
Average score for male students is: 74.9 ( 1011 Students)
Average score for unspecified gender is 71.0 ( 62 Students)
Average score for grade 13 is: 70.5 ( 1 Student)
Average score for grade 12 is: 73.8 ( 667 Students)
Average score for grade 11 is: 71.7 ( 874 Students)
Average score for grade 10 is: 69.2 ( 285 Students)
Average score for grade 9 is: 65.4 ( 120 Students)
Average score for grade 8 and below is: 106.5 ( 1 Student)
Average score with unknown grade: 79.1 ( 28 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 92
Number of schools returning results 61
Average school winning score 98.86
Average school team score 277.93
American Mathematics Competitions
2005 AMC 10 B Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 612
Number of unofficial participants: 0
Average score of participants: 72.8
Average score for female students is: 70.8 ( 278 Students)
Average score for male students is: 74.1 ( 305 Students)
Average score for unspecified gender is 77.7 ( 29 Students)
Average score for grade 10 is: 72.8 ( 280 Students)
Average score for grade 9 is: 72.1 ( 301 Students)
Average score for grade 8 and below is: 79.2 ( 27 Students)
Average score with unknown grade: 78.0 ( 4 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 19
Average school winning score 101.24
American Mathematics Competitions
2005 AMC 12 B Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 753
Number of unofficial participants: 0
Average score of participants: 80.2
Average score for female students is: 77.6 ( 344 Students)
Average score for male students is: 83.1 ( 378 Students)
Average score for unspecified gender is 74.4 ( 31 Students)
Average score for grade 12 is: 80.8 ( 310 Students)
Average score for grade 11 is: 78.8 ( 410 Students)
Average score for grade 10 is: 89.6 ( 24 Students)
Average score for grade 9 is: 94.8 ( 2 Students)
Average score for grade 8 and below is: 107.8 ( 2 Students)
Average score with unknown grade: 94.9 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 42
Number of schools returning results 21
Average school winning score 106.43
Average school team score 302.31
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
394.0 1 1
389.0 1 2
380.5 1 3
371.0 1 4
365.0 1 5
345.5 1 6
332.0 1 7
330.5 1 8
329.5 1 9
328.5 1 10
318.5 3 11
318.0 1 14
317.5 1 1 15
313.0 1 17
307.5 1 18
304.0 1 19
303.5 1 20
301.5 1 21
300.5 1 22
300.0 2 23
298.0 1 25
297.5 1 26
297.0 2 27
296.5 1 29
296.0 1 30
293.5 1 31
293.0 1 32
292.0 1 33
291.0 1 34
290.0 1 35
289.5 1 36
289.0 1 37
288.5 1 38
286.5 1 39
286.0 1 40
285.5 1 41
285.0 2 42
281.0 1 44
280.0 1 1 45
278.0 2 47
277.0 1 49
275.0 2 50
273.0 1 52
271.5 1 1 53
269.5 2 55
267.5 1 57
266.5 1 58
265.0 1 59
261.0 1 60
259.5 1 61
259.0 1 62
258.0 1 63
255.0 1 64
254.5 1 65
252.5 1 66
251.0 1 67
250.5 1 68
246.0 1 69
242.5 1 70
241.5 2 71
240.5 1 73
237.0 2 74
233.0 1 76
225.5 1 77
218.0 1 78
215.0 1 79
204.0 1 80
202.0 1 81
199.5 1 82
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
138.0 1 1
136.0 1 1
131.0 1
130.0 2 1
129.0 1
128.5 1
127.5 1 1
126.5 1 1
125.0 1
124.0 1 1
123.0 1 1
122.0 1
121.5 1
120.5 2 1 1
119.0 1
118.0 1 1 2
117.0 1
116.0 1 1 1 1
115.5 1
115.0 3
114.5 1 3
113.5 1 3
113.0 1
112.5 2 2 1
112.0 1
111.5 3 1
111.0 1 1 1
110.5 1
110.0 3 1 3
109.0 6 1 2 2
108.5 3 1
108.0 4 1 3 1
107.5 1 2 1
106.5 7 3 1
106.0 1
105.5 8 2 3
105.0 2 1 2 1
104.5 3 8 1 1
104.0 1 2 5 1
103.5 1
103.0 8 2 1 2
102.0 10 3 8 1
101.5 2 1 1
101.0 11 3 3 4
100.5 6 1 6 1
99.5 7 4 4 3
99.0 3 1 1
98.5 9 14 2 3
98.0 8 5
97.5 9 7 2
97.0 7 4 7 3
96.5 2 1
96.0 11 10 3 5
95.5 3
95.0 23 18 4 2
94.5 2 1 2
94.0 7 9 2 4
93.5 8 9 12 7
93.0 4 1
92.5 15 19 11 8
92.0 1 3 5 3
91.5 14 15 7 4
91.0 7 1 6 3
90.5 11 10 2
90.0 8 14 9 6
89.5 2
89.0 34 29 18 7
88.5 3 3 2 1
88.0 25 10 10 4
87.5 3 7 8 7
87.0 13 11 8 2
86.5 17 11 12 5
86.0 1 4 5 1
85.5 28 11 18 11
85.0 5 4 4 4
84.5 30 10 8 3
84.0 15 8 11 9
83.5 11 4 7 2
83.0 25 27 20 7
82.5 5 3 10 7
82.0 25 27 15 7
81.5 8 5 7 7
81.0 19 17 10 2
80.5 21 14 14 17
80.0 21 8 6 3
79.5 24 13 23 13
79.0 11 6 1 3
78.5 41 18 22 7
78.0 20 11 19 14
77.5 29 10 20 6
77.0 27 17 15 7
76.5 20 9 6 8
76.0 42 9 21 8
75.5 6 8 9 4
75.0 38 13 22 5
74.5 13 12 10 10
74.0 35 7 13 11
73.5 25 11 34 9
73.0 19 5 8 6
72.5 33 8 38 11
72.0 10 10 16 12
71.5 41 11 26 5
71.0 29 12 23 7
70.5 37 6 12 6
70.0 37 6 27 6
69.5 15 6 5 7
69.0 42 4 21 7
68.5 16 7 16 6
68.0 32 10 9 8
67.5 28 4 23 11
67.0 14 11 9 5
66.5 32 5 26 6
66.0 15 6 16 8
65.5 39 7 22 6
65.0 25 8 23 9
64.5 25 6 12 6
64.0 41 4 18 3
63.5 14 1 13 8
63.0 28 3 16 5
62.5 20 3 17 9
62.0 31 3 12 10
61.5 15 4 25 5
61.0 16 5 7 3
60.5 29 20 5
60.0 15 5 19 11
59.5 17 2 10 6
59.0 18 4 10 7
58.5 13 4 6 5
58.0 23 2 14 10
57.5 5 2 9 2
57.0 16 9 5
56.5 12 3 11 5
56.0 11 1 8 3
55.5 18 1 11 4
55.0 11 3 7 2
54.5 23 2 12 3
54.0 18 6 11 7
53.5 13 1 1
53.0 16 3 14 5
52.5 4 2 4 1
52.0 6 2 7 4
51.5 8 2 5 2
51.0 8 1 5 3
50.5 11 7 3
50.0 6 1 3 3
49.5 12 1 4 3
49.0 5 1
48.5 8 3
48.0 10 6 5
47.5 3 1 1 2
47.0 7 3 6 2
46.5 5 1 5
46.0 5 1 2 2
45.5 5 4 1
45.0 1 1 3 2
44.5 11 1 3 2
44.0 5 2 1
43.5 4 4 1
43.0 4 4 1
42.5 4 1 1
42.0 10 1 5 4
41.5 2 1 2
41.0 2 1 2 1
40.5 3 1 1
40.0 2 2 2
39.5 1 2
39.0 3 1
38.5 1 2 1
38.0 3
37.5 1 1
37.0 3 2
36.5 6 2
36.0 9 1 7 1
35.5 2 1
35.0 1 2
33.5 1
33.0 1
32.5 1
32.0 1
30.5 1
30.0 6 2 4
29.5 1
29.0 1
28.0 1 1
27.0 1
24.0 2 3 2
20.5 1
19.5 2
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Iowa
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 2 2
149.0 124.0 99.0 1
148.5 123.5 98.5 1 1
148.0 123.0 1 98.0 6 2
147.5 122.5 97.5
147.0 122.0 97.0 7
146.5 121.5 1 96.5 2
146.0 121.0 96.0 3
145.5 120.5 1 95.5 3
145.0 120.0 95.0 2 2
144.5 119.5 94.5 1
144.0 119.0 94.0 2
143.5 118.5 93.5 7 5
143.0 118.0 1 93.0 4
142.5 117.5 92.5 8 3
142.0 117.0 92.0 5
141.5 116.5 91.5 4 3
141.0 116.0 1 91.0 3 3
140.5 115.5 1 90.5 2
140.0 115.0 90.0 5 4
139.5 114.5 2 1 89.5 2
139.0 114.0 89.0 11 6
138.5 113.5 1 1 88.5 2
138.0 113.0 1 88.0 3 7
137.5 112.5 1 1 87.5 5 3
137.0 112.0 1 87.0 5 2
136.5 111.5 86.5 6 6
136.0 111.0 1 86.0 3 2
135.5 110.5 1 85.5 8 9
135.0 110.0 2 1 85.0 1 2
134.5 109.5 84.5 4 4
134.0 109.0 2 84.0 8 3
133.5 108.5 3 83.5 2 4
133.0 108.0 2 1 83.0 9 11
132.5 107.5 1 1 82.5 7 2
132.0 107.0 82.0 4 9
131.5 106.5 1 81.5 2 5
131.0 106.0 1 81.0 7 3
130.5 105.5 3 80.5 7 6
130.0 105.0 2 80.0 3 3
129.5 104.5 79.5 10 11
129.0 104.0 4 1 79.0 1
128.5 103.5 1 78.5 9 12
128.0 103.0 1 78.0 12 6
127.5 102.5 77.5 6 13
127.0 102.0 3 4 77.0 11 3
126.5 101.5 76.5 3 3
126.0 101.0 3 76.0 11 9
125.5 100.5 5 1 75.5 4 4
American Mathematics Competitions
2005 AMC 10 A Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 10 10 50.0 3 25.0
74.5 3 7 49.5 2 2 24.5
74.0 5 5 49.0 1 24.0 2 1
73.5 17 15 48.5 1 2 23.5
73.0 4 3 48.0 3 3 23.0
72.5 11 25 47.5 22.5
72.0 6 7 47.0 4 2 22.0
71.5 12 14 46.5 3 1 21.5
71.0 13 10 46.0 1 1 21.0
70.5 8 3 45.5 4 20.5 1
70.0 10 16 45.0 2 1 20.0
69.5 2 3 44.5 1 2 19.5 1 1
69.0 7 12 44.0 1 1 19.0
68.5 10 4 43.5 4 18.5
68.0 2 7 43.0 1 3 18.0
67.5 9 14 42.5 1 17.5
67.0 2 7 42.0 2 3 17.0
66.5 12 13 41.5 1 16.5
66.0 8 6 41.0 1 16.0
65.5 10 11 40.5 1 15.5
65.0 9 11 40.0 2 15.0
64.5 3 9 39.5 1 1 14.5
64.0 7 11 39.0 1 14.0
63.5 5 8 38.5 1 1 13.5
63.0 5 9 38.0 1 1 13.0
62.5 7 10 37.5 1 12.5
62.0 8 3 37.0 1 1 12.0 1
61.5 8 15 36.5 1 1 11.5
61.0 4 2 36.0 6 1 11.0
60.5 3 16 35.5 1 10.5
60.0 8 9 35.0 1 1 10.0
59.5 3 5 34.5 9.5
59.0 4 5 34.0 9.0
58.5 3 2 33.5 1 8.5
58.0 8 6 33.0 8.0
57.5 5 4 32.5 7.5
57.0 2 7 32.0 7.0
56.5 3 8 31.5 6.5
56.0 5 3 31.0 6.0
55.5 3 8 30.5 5.5
55.0 3 4 30.0 2 5.0
54.5 6 6 29.5 4.5
54.0 5 5 29.0 1 4.0
53.5 1 28.5 3.5
53.0 6 7 28.0 1 3.0
52.5 2 2 27.5 2.5
52.0 3 3 27.0 2.0
51.5 2 3 26.5 1.5
51.0 4 26.0 1.0
50.5 2 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Iowa
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
125.0 1
123.0 1
121.5 1
120.5 1
118.0 1
116.0 1
115.5 1
114.5 3
113.5 2 1
113.0 1
112.5 2
112.0 1
111.0 1
110.5 1
110.0 1 1 1
109.0 1 1
108.5 1 2
108.0 1 1 1
107.5 1 1
106.5 1
106.0 1
105.5 3
105.0 1 1
104.5 1
104.0 2 3
103.5 1
103.0 1
102.0 1 1 6
101.0 1 2
100.5 3 3
99.5 1 1 2
99.0 1
98.5 1 1
98.0 1 2 5
97.0 3 4
96.5 2
96.0 1 1 1
95.5 1 2
95.0 1 3
94.5 1 1
94.0 1 1
93.5 6 6
93.0 1 1 2
92.5 1 3 7
92.0 4 1
91.5 1 3 3
91.0 1 3 2
90.5 2
90.0 4 5
89.5 2
89.0 10 8
88.5 2
88.0 1 5 4
87.5 1 3 4
87.0 3 5
86.5 5 7
86.0 1 2 2
85.5 2 6 9 1
85.0 3 1
84.5 1 4 3
84.0 5 6
83.5 4 3
83.0 1 8 11
82.5 2 1 7
82.0 6 8 1
81.5 3 4
81.0 1 4 5
80.5 5 8 1
80.0 2 4
79.5 3 9 11
79.0 1
78.5 2 13 6 1
78.0 1 8 10
77.5 1 10 8 1
77.0 9 6
76.5 3 3
76.0 1 14 6
75.5 7 2
75.0 2 13 7
74.5 5 5
74.0 1 6 4 2
73.5 4 14 16
73.0 2 4 2
72.5 1 18 17 2
72.0 1 10 5
71.5 3 9 13 1
71.0 15 8
70.5 2 5 5
70.0 2 12 13
69.5 3 2
69.0 8 12 1
68.5 3 12 1
68.0 2 7
67.5 1 10 12
67.0 3 6
66.5 1 14 11
66.0 1 6 9
65.5 1 9 12
65.0 1 12 9 1
64.5 1 1 10
64.0 1 3 14
63.5 7 6
63.0 1 5 9 1
62.5 6 11
62.0 5 6 1
61.5 1 2 8 12 2
61.0 6 1
60.5 11 8 1
60.0 6 12 1
59.5 1 3 6
59.0 2 7 1
58.5 2 4
58.0 10 4
57.5 3 6
57.0 1 5 3
56.5 10 1
56.0 6 2
55.5 7 4
55.0 4 2 1
54.5 2 6 4
54.0 1 6 3 1
53.5 1
53.0 7 7
52.5 3 1
52.0 3 3 1
51.5 2 3
51.0 2 2 1
50.5 5 2
50.0 1 2
49.5 3 1
49.0 1
48.5 1 1 1
48.0 1 5
47.5 1
47.0 4 2
46.5 2 3
46.0 2
45.5 2 1 1
45.0 3
44.5 1 2
44.0 1 1
43.5 3 1
43.0 1 3
42.5 1
42.0 3 2
41.5 1
41.0 1 1
40.5 1
40.0 2
39.5 1 1
39.0 1
38.5 1 1
38.0 1 2
37.5 1
37.0 1 1
36.5 2
36.0 2 5
35.5 1
35.0 1 1
33.5 1
30.0 1 1
29.0 1
28.0 1
24.0 3
20.5 1
19.5 1 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Iowa
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 0.26 0.17 0.27 8.58* 0.41 0.31 0.00
2 0.15 0.15 4.55* 0.12 1.51 3.51 0.00
3 0.09 8.66* 0.38 0.41 0.08 0.38 0.00
4 0.37 1.17* 2.14 0.41 0.54 5.37 0.00
5 6.26* 0.49 2.96 0.06 0.06 0.17 0.01
6 0.37 4.17* 3.58 0.18 0.09 1.62 0.00
7 0.69 3.09* 0.34 0.44 0.59 4.85 0.00
8 1.16 0.29 3.01* 0.12 0.14 5.28 0.00
9 1.17 5.54* 1.02 0.18 0.23 1.86 0.00
10 1.15* 0.25 1.03 0.34 0.08 7.14 0.00
11 0.47 2.15* 0.22 0.70 0.16 6.30 0.00
12 0.25 0.75* 0.47 0.18 0.42 7.92 0.00
13 1.06 0.44 0.25 0.20 0.64* 7.42 0.00
14 0.67 0.46 0.29 0.38 1.96* 6.23 0.00
15 0.48 0.51 0.55 0.82 0.78* 6.85 0.00
16 0.63 0.28 0.51 1.94* 0.07 6.57 0.00
17 0.34 0.28 0.39 1.65* 0.38 6.97 0.00
18 1.42* 2.07 1.19 2.95 0.27 2.11 0.00
19 0.49 0.71 0.87 2.76* 0.65 4.52 0.00
20 0.32* 0.28 0.46 0.43 0.28 8.24 0.00
21 1.42 0.67* 0.16 0.23 0.65 6.87 0.00
22 0.60 0.43 0.23 1.88* 0.34 6.52 0.00
23 0.19 0.37 1.00* 0.87 0.56 7.01 0.00
24 0.83 0.53* 0.14 0.14 0.08 8.28 0.00
25 0.37 0.58 0.68 0.59* 0.07 7.71 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 Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 7
149.0 124.0 99.0 2 1
148.5 123.5 98.5 7 2
148.0 123.0 1 98.0
147.5 122.5 97.5 3 6
147.0 122.0 1 97.0 6 1
146.5 121.5 96.5
146.0 121.0 96.0 8 3
145.5 120.5 95.5
145.0 120.0 95.0 16 5
144.5 119.5 94.5 2
144.0 119.0 1 94.0 3 3
143.5 118.5 93.5 6 1
143.0 118.0 1 93.0
142.5 117.5 92.5 10 4
142.0 117.0 92.0 1
141.5 116.5 91.5 11 2
141.0 116.0 1 91.0 5 2
140.5 115.5 90.5 3 8
140.0 115.0 2 1 90.0 6 2
139.5 114.5 89.5
139.0 114.0 89.0 23 9
138.5 113.5 88.5 2 1
138.0 1 113.0 88.0 10 15
137.5 112.5 2 87.5 3
137.0 112.0 87.0 5 8
136.5 111.5 3 86.5 12 4
136.0 1 111.0 86.0 1
135.5 110.5 85.5 14 12
135.0 110.0 3 85.0 4 1
134.5 109.5 84.5 15 14
134.0 109.0 5 1 84.0 12 3
133.5 108.5 83.5 8 3
133.0 108.0 3 83.0 18 7
132.5 107.5 1 82.5 5
132.0 107.0 82.0 19 6
131.5 106.5 5 2 81.5 6 2
131.0 106.0 81.0 10 9
130.5 105.5 6 1 80.5 12 7
130.0 2 105.0 2 80.0 9 12
129.5 104.5 2 1 79.5 15 9
129.0 104.0 1 79.0 6 5
128.5 1 103.5 78.5 20 21
128.0 103.0 6 2 78.0 12 7
127.5 1 102.5 77.5 14 14
127.0 102.0 8 1 77.0 17 10
126.5 1 101.5 1 76.5 3 17
126.0 101.0 8 2 76.0 22 20
125.5 100.5 4 2 75.5 4 2
American Mathematics Competitions
2005 AMC 12 A Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 24 50.0 2 4 25.0
74.5 8 5 49.5 3 9 24.5
74.0 17 18 49.0 1 4 24.0 2
73.5 16 7 48.5 3 5 23.5
73.0 4 14 48.0 6 2 23.0
72.5 14 17 47.5 3 22.5
72.0 9 1 47.0 3 4 22.0
71.5 20 21 46.5 2 3 21.5
71.0 18 11 46.0 2 3 21.0
70.5 15 19 45.5 1 4 20.5
70.0 19 17 45.0 1 20.0
69.5 10 5 44.5 1 9 19.5
69.0 17 23 44.0 2 3 19.0
68.5 10 6 43.5 2 2 18.5
68.0 16 15 43.0 1 2 18.0
67.5 19 8 42.5 2 2 17.5
67.0 5 9 42.0 4 6 17.0
66.5 15 17 41.5 2 16.5
66.0 5 9 41.0 1 1 16.0
65.5 16 19 40.5 1 2 15.5
65.0 13 11 40.0 2 15.0
64.5 11 13 39.5 1 14.5
64.0 21 17 39.0 1 2 14.0
63.5 5 9 38.5 1 13.5
63.0 14 13 38.0 13.0
62.5 13 6 37.5 1 12.5
62.0 12 19 37.0 3 12.0
61.5 4 10 36.5 1 5 11.5
61.0 5 10 36.0 5 3 11.0
60.5 13 14 35.5 2 10.5
60.0 7 8 35.0 10.0
59.5 7 10 34.5 9.5
59.0 8 10 34.0 9.0
58.5 4 9 33.5 8.5
58.0 9 13 33.0 1 8.0
57.5 1 4 32.5 7.5
57.0 4 12 32.0 1 7.0
56.5 6 6 31.5 6.5
56.0 4 7 31.0 6.0
55.5 10 8 30.5 1 5.5
55.0 6 5 30.0 2 2 5.0
54.5 11 12 29.5 1 4.5
54.0 9 8 29.0 4.0
53.5 4 7 28.5 3.5
53.0 5 11 28.0 1 3.0
52.5 2 2 27.5 2.5
52.0 2 4 27.0 2.0
51.5 4 4 26.5 1.5
51.0 3 5 26.0 1.0
50.5 6 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Iowa
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 1
136.0 1
130.0 1 1
128.5 1
127.5 1
126.5 1
123.0 1
122.0 1
119.0 1
118.0 1
116.0 1
115.0 2 1
112.5 1 1
111.5 1 2
110.0 2 1
109.0 2 4
108.0 2 1 1
107.5 1
106.5 1 1 2 2 1
105.5 1 2 5
105.0 2
104.5 2 1
104.0 1
103.0 1 1 6
102.0 4 5 1
101.5 1 1
101.0 1 5 4 1
100.5 3 3
99.5 4 3
99.0 1 1 1
98.5 1 5 3
97.5 3 6
97.0 2 2 3
96.0 1 2 4 4
95.0 1 7 12 3
94.5 2
94.0 1 4 2
93.5 3 3 1 1
92.5 1 1 10 3
92.0 1
91.5 6 7 1
91.0 1 3 3
90.5 1 5 5
90.0 3 1 4
89.0 2 2 16 14
88.5 1 1 1
88.0 2 1 10 12
87.5 3
87.0 1 8 4
86.5 2 5 10
86.0 1
85.5 1 1 12 14
85.0 1 1 3
84.5 1 4 16 8 1
84.0 7 8
83.5 2 6 3
83.0 2 1 8 14
82.5 4 1
82.0 3 12 10
81.5 2 6
81.0 1 2 7 9
80.5 7 8 4 2
80.0 3 9 9
79.5 2 3 8 10 1
79.0 2 8 1
78.5 9 14 18
78.0 3 11 6
77.5 2 7 14 5 1
77.0 4 11 12
76.5 1 1 10 8
76.0 1 7 21 13
75.5 6
75.0 2 5 17 14
74.5 1 9 3
74.0 3 9 14 9
73.5 1 3 9 10 2
73.0 1 3 8 7
72.5 2 8 16 7
72.0 4 2 4
71.5 3 9 18 10 1
71.0 1 2 14 12
70.5 2 6 15 12 1 1
70.0 1 7 18 11
69.5 1 1 4 9
69.0 4 4 23 11
68.5 2 9 5
68.0 2 8 13 9
67.5 1 17 10
67.0 1 2 7 3 1
66.5 1 5 18 8
66.0 1 7 7
65.5 5 8 12 14
65.0 3 2 16 4
64.5 6 12 7
64.0 2 5 20 14
63.5 2 1 6 5
63.0 2 4 14 8
62.5 1 5 7 7
62.0 3 5 10 12 1
61.5 2 8 4 1
61.0 1 4 7 4
60.5 4 5 12 8
60.0 2 1 5 7
59.5 3 4 6 4
59.0 2 4 7 5
58.5 1 4 6 2
58.0 1 4 9 8 1
57.5 3 2
57.0 1 2 8 5
56.5 1 2 7 2
56.0 1 6 4
55.5 2 2 11 3
55.0 2 8 1
54.5 3 9 4 7
54.0 1 5 8 3 1
53.5 2 2 4 4 1
53.0 2 3 5 6
52.5 1 1 1 1
52.0 1 2 3
51.5 1 1 3 2 1
51.0 1 6 1
50.5 1 1 5 3 1
50.0 3 3
49.5 2 1 3 6
49.0 1 2 2
48.5 2 1 4 1
48.0 1 5 3 1
47.5 1 1 1
47.0 3 2 2
46.5 3 2
46.0 2 1 2
45.5 1 1 1 2
45.0 1
44.5 4 1 6
44.0 1 2 2
43.5 1 3
43.0 1 3
42.5 1 1 1 1
42.0 2 3 5
41.5 2
41.0 1 1
40.5 1 1 1
40.0 1 1
39.5 1
39.0 1 2
38.5 1
37.5 1
37.0 2 1
36.5 1 2 3
36.0 1 2 2 4
35.5 1 1
33.0 1
32.0 1
30.5 1
30.0 2 3 1
29.5 1
28.0 1
24.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Iowa
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 0.10 0.12 0.19 8.96* 0.17 0.48 0.00
2 0.02 9.05* 0.34 0.35 0.05 0.20 0.00
3 0.40 2.23* 1.46 0.41 0.50 4.99 0.00
4 6.24* 0.35 3.18 0.06 0.03 0.14 0.00
5 0.35 4.96* 2.87 0.15 0.10 1.56 0.00
6 0.69 3.76* 0.31 0.32 0.72 4.18 0.01
7 0.91 0.22 4.84* 0.10 0.07 3.87 0.00
8 0.22 0.48 0.20 1.09* 0.23 7.77 0.00
9 1.79* 0.36 0.92 0.28 0.17 6.47 0.00
10 0.38 2.25* 0.13 0.57 0.12 6.55 0.00
11 0.66 0.59 0.30 0.39 2.37* 5.69 0.00
12 0.91 0.28 0.27 1.89* 1.20 5.44 0.00
13 0.21 0.21 0.33 2.07* 0.42 6.75 0.01
14 0.44 0.39 3.42 0.81* 0.40 4.53 0.00
15 0.16 0.40 0.88* 0.90 0.65 7.00 0.00
16 0.17 0.25 0.51 0.36* 0.28 8.42 0.00
17 1.28* 1.19 1.09 0.32 0.47 5.65 0.00
18 0.31* 0.30 0.26 0.35 0.24 8.53 0.00
19 0.68 2.02* 0.92 0.57 1.00 4.81 0.00
20 0.30 0.15 0.11 0.08 0.13* 9.24 0.00
21 0.29 0.35 0.28* 0.20 0.05 8.84 0.00
22 0.37 0.37* 0.26 0.19 0.21 8.60 0.00
23 0.45 0.28* 0.17 0.17 0.45 8.48 0.01
24 0.09 0.10* 0.13 0.23 0.07 9.38 0.00
25 0.29 0.20 0.23* 0.18 0.11 8.98 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 Iowa
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 2
149.0 124.0 1 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 3 2
147.5 122.5 97.5 1 1
147.0 122.0 97.0 1 2
146.5 121.5 96.5
146.0 121.0 96.0 4 1
145.5 120.5 1 95.5
145.0 120.0 95.0 2
144.5 119.5 94.5
144.0 119.0 94.0 1 2
143.5 118.5 93.5 5 1
143.0 118.0 1 1 93.0 1
142.5 117.5 92.5 3 5
142.0 117.0 1 92.0 3
141.5 116.5 91.5 2 2
141.0 116.0 91.0 3
140.5 115.5 90.5
140.0 115.0 90.0 3 3
139.5 114.5 89.5
139.0 114.0 89.0 6
138.5 113.5 88.5 1
138.0 1 113.0 88.0 2 2
137.5 112.5 1 87.5 3 4
137.0 112.0 87.0 1 1
136.5 111.5 86.5 3 1
136.0 111.0 1 86.0 1
135.5 110.5 85.5 6 5
135.0 110.0 85.0 1 3
134.5 109.5 84.5 1 2
134.0 109.0 1 1 84.0 5 3
133.5 108.5 1 83.5 1 1
133.0 108.0 1 83.0 5 2
132.5 107.5 1 82.5 6 1
132.0 107.0 82.0 2 5
131.5 106.5 81.5 3 4
131.0 106.0 81.0 1 1
130.5 105.5 80.5 7 9
130.0 1 105.0 1 80.0 2 1
129.5 104.5 1 79.5 7 5
129.0 104.0 1 79.0 2 1
128.5 103.5 78.5 1 6
128.0 103.0 1 78.0 7 6
127.5 102.5 77.5 4 1
127.0 102.0 1 77.0 4 2
126.5 101.5 76.5 2 6
126.0 101.0 1 2 76.0 7 1
125.5 100.5 1 75.5 3 1
American Mathematics Competitions
2005 AMC 10 B Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 3 50.0 1 2 25.0
74.5 7 3 49.5 1 1 24.5
74.0 3 7 49.0 24.0 1 1
73.5 5 3 48.5 23.5
73.0 3 3 48.0 3 2 23.0
72.5 6 5 47.5 1 1 22.5
72.0 5 7 47.0 2 22.0
71.5 2 3 46.5 21.5
71.0 3 4 46.0 2 21.0
70.5 5 1 45.5 1 20.5
70.0 2 4 45.0 2 20.0
69.5 4 3 44.5 1 1 19.5
69.0 3 4 44.0 1 19.0
68.5 3 3 43.5 1 18.5
68.0 1 6 43.0 1 18.0
67.5 4 6 42.5 1 17.5
67.0 3 2 42.0 2 1 17.0
66.5 3 2 41.5 2 16.5
66.0 4 4 41.0 1 16.0
65.5 4 2 40.5 1 15.5
65.0 7 1 40.0 1 1 15.0
64.5 3 3 39.5 14.5
64.0 3 39.0 14.0
63.5 3 5 38.5 1 13.5
63.0 2 3 38.0 13.0
62.5 4 5 37.5 12.5
62.0 6 3 37.0 12.0
61.5 1 4 36.5 11.5
61.0 2 1 36.0 1 11.0
60.5 1 3 35.5 10.5
60.0 5 6 35.0 10.0
59.5 2 2 34.5 9.5
59.0 3 4 34.0 9.0
58.5 1 4 33.5 8.5
58.0 6 4 33.0 8.0
57.5 1 1 32.5 1 7.5
57.0 4 1 32.0 7.0
56.5 2 3 31.5 6.5
56.0 2 1 31.0 6.0
55.5 1 3 30.5 5.5
55.0 2 30.0 2 2 5.0
54.5 1 2 29.5 4.5
54.0 4 3 29.0 4.0
53.5 28.5 3.5
53.0 1 4 28.0 3.0
52.5 1 27.5 2.5
52.0 4 27.0 1 2.0
51.5 2 26.5 1.5
51.0 3 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Iowa
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
138.0 1
130.0 1
124.0 1
120.5 1
118.0 1 1
117.0 1
116.0 1
112.5 1
111.0 1
109.0 1 1
108.5 1
108.0 1
107.5 1
105.0 1
104.5 1
104.0 1
103.0 1 1
102.0 1
101.5 1
101.0 1 3
100.5 1
99.5 2 1
98.5 2 1
98.0 1 2 2
97.5 1 1
97.0 2 1
96.5 1
96.0 1 1 1 1 1
95.0 1 1
94.0 3 1
93.5 2 5
93.0 1
92.5 3 5
92.0 3
91.5 3 1
91.0 1 2
90.0 4 2
89.0 1 3 3
88.5 1
88.0 1 2 1
87.5 1 3 3
87.0 2
86.5 2 3
86.0 1
85.5 7 4
85.0 2 2
84.5 1 2
84.0 4 5
83.5 2
83.0 4 3
82.5 4 3
82.0 4 3
81.5 4 3
81.0 1 1
80.5 1 5 11
80.0 2 1
79.5 7 6
79.0 2 1
78.5 5 2
78.0 8 6
77.5 1 3 1 1
77.0 3 4
76.5 3 5
76.0 4 4
75.5 4
75.0 3 2
74.5 6 4
74.0 6 5
73.5 1 4 3 1
73.0 1 2 3
72.5 6 5
72.0 5 7
71.5 1 4
71.0 1 3 3
70.5 5 1
70.0 6
69.5 4 3
69.0 3 4
68.5 4 2
68.0 1 7
67.5 1 6 4
67.0 1 4
66.5 1 3 2
66.0 1 5 2
65.5 1 5
65.0 1 6 2
64.5 3 3
64.0 1 2
63.5 2 6
63.0 1 2 2
62.5 1 1 5 1 1
62.0 7 3
61.5 1 4
61.0 2 1
60.5 2 3
60.0 1 5 5
59.5 1 5
59.0 5 2
58.5 2 3
58.0 4 6
57.5 2
57.0 4 1
56.5 1 4
56.0 1 2
55.5 2 2
55.0 1 1
54.5 2 1
54.0 5 2
53.0 3 2
52.5 1
52.0 1 3
51.5 2
51.0 1 2
50.5 3
50.0 2 1
49.5 1 2
48.0 3 2
47.5 2
47.0 2
46.0 1 1
45.5 1
45.0 1 1
44.5 1 1
44.0 1
43.5 1
43.0 1
42.5 1
42.0 4
41.5 1 1
41.0 1
40.5 1
40.0 2
38.5 1
36.0 1
32.5 1
30.0 1 2 1
27.0 1
24.0 1 1
American Mathematics Competitions
2005 AMC 10 B Results for Iowa
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 8.24* 0.52 0.60 0.16 0.34 0.13 0.00
2 0.10 0.25 0.21 7.96* 0.34 1.14 0.00
3 0.03 0.65 2.43 5.11* 0.98 0.78 0.00
4 1.03 0.16 0.70 2.73* 0.23 5.15 0.00
5 0.11 0.15 8.48* 0.23 0.39 0.64 0.00
6 0.21 8.15* 0.28 0.25 0.21 0.90 0.00
7 0.78 0.60* 0.38 1.06 0.93 6.24 0.00
8 4.07* 0.23 1.24 0.10 0.13 4.23 0.00
9 0.62 0.49 2.53 3.77* 0.77 1.81 0.00
10 1.09* 0.78 0.51 0.39 0.34 6.88 0.00
11 0.25 0.51 0.23 1.68 1.32* 6.01 0.00
12 0.57 1.27 0.33 0.10 0.36* 7.37 0.00
13 0.31 0.59 1.00* 1.42 0.54 6.14 0.00
14 0.38 0.28 1.03* 2.34 0.42 5.56 0.00
15 1.50 0.54 0.75 3.97* 0.69 2.55 0.00
16 0.31 0.51 0.57 0.18* 0.15 8.28 0.00
17 0.46 1.70* 1.32 0.39 0.23 5.90 0.00
18 0.38 4.74 0.82 2.03* 0.49 1.55 0.00
19 0.47 4.67* 0.56 0.52 0.29 3.48 0.00
20 0.67 0.26 0.96* 0.39 0.18 7.53 0.00
21 0.25* 0.18 0.34 0.23 0.18 8.82 0.00
22 0.51 0.75 0.20* 0.23 0.34 7.97 0.00
23 2.97 0.33 0.31* 0.31 0.15 5.93 0.00
24 0.28 0.28 0.20 0.42 0.90* 7.92 0.00
25 0.33 0.29 2.27* 0.11 0.11 6.88 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 AMC 12 B Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 2 2
149.0 124.0 1 99.0 1
148.5 123.5 98.5 9 5
148.0 123.0 98.0
147.5 122.5 97.5 4 3
147.0 122.0 97.0 3 1
146.5 121.5 96.5
146.0 121.0 96.0 7 3
145.5 120.5 2 95.5
145.0 120.0 95.0 9 8
144.5 119.5 94.5
144.0 119.0 94.0 3 6
143.5 118.5 93.5 7 2
143.0 118.0 93.0
142.5 117.5 92.5 9 8
142.0 117.0 92.0 1 1
141.5 116.5 91.5 8 7
141.0 116.0 1 91.0 1
140.5 115.5 90.5 6 4
140.0 115.0 90.0 13 1
139.5 114.5 1 89.5
139.0 114.0 89.0 19 10
138.5 113.5 1 88.5 3
138.0 113.0 88.0 4 6
137.5 112.5 87.5 5 2
137.0 112.0 87.0 5 6
136.5 111.5 1 86.5 10 1
136.0 1 111.0 1 86.0 3 1
135.5 110.5 85.5 5 5
135.0 110.0 1 85.0 3 1
134.5 109.5 84.5 3 7
134.0 109.0 1 84.0 7 1
133.5 108.5 83.5 4
133.0 108.0 1 83.0 16 10
132.5 107.5 82.5 1 2
132.0 107.0 82.0 13 14
131.5 106.5 3 81.5 3 2
131.0 1 106.0 81.0 5 12
130.5 105.5 2 80.5 7 6
130.0 105.0 1 80.0 3 4
129.5 104.5 4 4 79.5 4 9
129.0 1 104.0 2 79.0 4 2
128.5 103.5 78.5 5 12
128.0 103.0 2 78.0 5 6
127.5 1 102.5 77.5 4 6
127.0 102.0 1 2 77.0 7 8
126.5 1 101.5 1 76.5 4 5
126.0 101.0 2 1 76.0 5 4
125.5 100.5 1 75.5 5 3
American Mathematics Competitions
2005 AMC 12 B Results for Iowa
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 6 50.0 1 25.0
74.5 5 7 49.5 1 24.5
74.0 4 2 49.0 24.0
73.5 3 6 48.5 23.5
73.0 2 3 48.0 23.0
72.5 3 3 47.5 1 22.5
72.0 5 4 47.0 2 1 22.0
71.5 5 5 46.5 1 21.5
71.0 6 6 46.0 1 21.0
70.5 4 2 45.5 20.5
70.0 4 2 45.0 1 20.0
69.5 4 2 44.5 1 19.5
69.0 2 2 44.0 19.0
68.5 2 5 43.5 18.5
68.0 4 5 43.0 18.0
67.5 2 2 42.5 17.5
67.0 6 3 42.0 1 17.0
66.5 1 3 41.5 16.5
66.0 5 41.0 1 16.0
65.5 1 6 40.5 15.5
65.0 3 4 40.0 15.0
64.5 4 2 39.5 14.5
64.0 2 1 39.0 14.0
63.5 1 38.5 13.5
63.0 3 38.0 13.0
62.5 1 2 37.5 12.5
62.0 1 2 37.0 12.0
61.5 2 2 36.5 11.5
61.0 2 3 36.0 1 11.0
60.5 35.5 10.5
60.0 4 35.0 1 10.0
59.5 1 1 34.5 9.5
59.0 3 1 34.0 9.0
58.5 1 2 33.5 8.5
58.0 1 33.0 8.0
57.5 2 32.5 7.5
57.0 32.0 7.0
56.5 1 2 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 1 2 30.0 5.0
54.5 2 29.5 4.5
54.0 5 29.0 4.0
53.5 1 28.5 3.5
53.0 1 2 28.0 3.0
52.5 2 27.5 2.5
52.0 2 27.0 2.0
51.5 1 1 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 Iowa
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
131.0 1
129.0 1
127.5 1
126.5 1
124.0 1
120.5 1 1
116.0 1
114.5 1
113.5 1
111.5 1
111.0 1
110.0 1
109.0 1
108.0 1
106.5 1 1 1
105.5 1 1
105.0 1
104.5 2 3 3
104.0 2
103.0 1 1
102.0 1 1 1
101.5 1
101.0 1 2
100.5 1
99.5 2 2
99.0 1
98.5 8 6
97.5 1 2 4
97.0 2 1 1
96.0 1 2 6 1
95.0 11 7
94.5 1
94.0 1 3 5
93.5 5 4
92.5 1 7 11
92.0 1 1 1
91.5 10 5
91.0 1
90.5 3 5 2
90.0 1 5 8
89.0 1 17 11
88.5 1 2
88.0 1 4 5
87.5 7
87.0 8 3
86.5 7 4
86.0 2 2
85.5 1 6 4
85.0 3 1
84.5 3 7
84.0 5 3
83.5 1 3
83.0 19 8
82.5 2 1
82.0 18 9
81.5 3 2
81.0 7 10
80.5 2 6 6
80.0 7 1
79.5 8 5
79.0 3 3
78.5 11 7
78.0 6 5
77.5 8 2
77.0 9 7 1
76.5 5 4
76.0 4 5
75.5 5 3
75.0 1 7 5
74.5 1 6 5
74.0 5 2
73.5 8 3
73.0 3 2
72.5 6 2
72.0 3 7
71.5 6 5
71.0 4 8
70.5 3 3
70.0 4 2
69.5 1 3 2
69.0 3 1
68.5 4 3
68.0 6 4
67.5 3 1
67.0 8 3
66.5 2 3
66.0 1 5
65.5 5 2
65.0 1 4 3
64.5 4 2
64.0 1 1 2
63.5 1
63.0 1 2
62.5 1 2
62.0 3
61.5 3 1
61.0 4 1
60.0 3 2
59.5 1 1
59.0 3 1
58.5 2 2
58.0 2
57.5 1 1
56.5 2 1
56.0 1
55.5 1
55.0 1 2
54.5 1 1
54.0 4 2
53.5 1
53.0 1 2
52.5 2
52.0 1 1
51.5 2
51.0 1
50.0 1
49.5 1
47.5 1
47.0 2 1
46.5 1
46.0 1
45.0 1
44.5 1
42.0 1
41.0 1
36.0 1
35.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Iowa
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 8.88* 0.20 0.28 0.21 0.32 0.09 0.01
2 0.11 0.12 0.15 8.76* 0.24 0.62 0.00
3 0.08 0.05 8.91* 0.17 0.25 0.53 0.00
4 0.09 8.95* 0.15 0.12 0.27 0.42 0.00
5 6.51* 0.11 1.04 0.03 0.09 2.23 0.00
6 2.20* 0.77 0.61 0.21 0.35 5.86 0.00
7 0.80 1.33 0.16 1.45* 0.41 5.86 0.00
8 0.94 1.53 3.17* 0.03 0.80 3.52 0.01
9 0.42 6.55* 0.44 0.70 0.24 1.63 0.01
10 0.19 0.45 0.11 2.10 2.56* 4.59 0.00
11 1.30 0.78 0.81 4.45* 0.50 2.15 0.00
12 0.17 0.45 0.64 0.45* 0.03 8.26 0.00
13 0.27 0.23 0.24 0.74* 0.15 8.38 0.00
14 0.48 1.01 0.48 0.31 0.56* 7.17 0.00
15 0.40 0.35 0.20 4.83* 0.29 3.90 0.03
16 0.25 0.08 0.52 0.49* 0.15 8.50 0.01
17 0.23 0.35* 0.17 0.08 0.69 8.47 0.01
18 1.08 0.40 0.37* 0.25 0.13 7.77 0.00
19 0.27 0.13 0.11 0.20 2.08* 7.21 0.00
20 0.08 0.23 4.18* 0.48 1.77 3.27 0.00
21 0.12 0.17 0.39* 0.35 0.19 8.78 0.01
22 0.48 0.86 0.12 0.15 0.11* 8.29 0.00
23 0.13 0.11* 0.08 0.05 0.11 9.52 0.00
24 0.21* 0.15 0.23 0.20 0.13 9.08 0.00
25 0.16* 0.15 0.25 0.09 0.42 8.92 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column