American Mathematics Competitions
2005 AMC 10 A Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 202
Number of unofficial participants: 0
Average score of participants: 69.6
Average score for female students is: 64.8 ( 94 Students)
Average score for male students is: 74.9 ( 99 Students)
Average score for unspecified gender is 62.3 ( 9 Students)
Average score for grade 10 is: 76.9 ( 98 Students)
Average score for grade 9 is: 62.6 ( 95 Students)
Average score for grade 8 and below is: 79.3 ( 2 Students)
Average score with unknown grade: 60.6 ( 7 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 3
Number of schools returning results 10
Average school winning score 105.20
American Mathematics Competitions
2005 AMC 12 A Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 353
Number of unofficial participants: 0
Average score of participants: 78.7
Average score for female students is: 74.3 ( 131 Students)
Average score for male students is: 82.8 ( 185 Students)
Average score for unspecified gender is 73.9 ( 37 Students)
Average score for grade 12 is: 77.2 ( 145 Students)
Average score for grade 11 is: 78.9 ( 176 Students)
Average score for grade 10 is: 80.7 ( 12 Students)
Average score for grade 9 is: 89.5 ( 13 Students)
Average score for grade 8 and below is: 82.2 ( 6 Students)
Average score with unknown grade: 87.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 35
Number of schools returning results 14
Average school winning score 105.57
Average school team score 300.61
American Mathematics Competitions
2005 AMC 10 B Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 230
Number of unofficial participants: 0
Average score of participants: 79.3
Average score for female students is: 75.4 ( 86 Students)
Average score for male students is: 81.7 ( 125 Students)
Average score for unspecified gender is 81.1 ( 19 Students)
Average score for grade 10 is: 78.1 ( 119 Students)
Average score for grade 9 is: 79.8 ( 89 Students)
Average score for grade 8 and below is: 85.1 ( 12 Students)
Average score with unknown grade: 82.0 ( 10 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 16
Average school winning score 107.53
American Mathematics Competitions
2005 AMC 12 B Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 610
Number of unofficial participants: 0
Average score of participants: 78.8
Average score for female students is: 75.4 ( 234 Students)
Average score for male students is: 81.2 ( 355 Students)
Average score for unspecified gender is 76.1 ( 21 Students)
Average score for grade 12 is: 82.3 ( 168 Students)
Average score for grade 11 is: 77.0 ( 264 Students)
Average score for grade 10 is: 78.0 ( 160 Students)
Average score for grade 9 is: 86.3 ( 12 Students)
Average score with unknown grade: 64.6 ( 6 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 38
Number of schools returning results 20
Average school winning score 104.78
Average school team score 286.60
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
366.0 1 1
361.0 1 2
349.5 1 3
333.0 1 4
329.0 1 5
325.5 1 6
321.0 1 7
317.5 1 8
315.0 1 9
311.0 1 10
306.0 1 11
305.5 1 12
302.5 1 13
300.5 1 14
299.0 1 15
294.5 1 16
293.5 1 17
291.5 1 18
291.0 1 19
290.5 1 1 20
290.0 1 22
289.0 1 23
288.0 1 24
287.5 1 25
287.0 1 26
281.0 1 27
280.0 1 28
262.5 1 29
248.0 1 30
240.0 1 31
239.0 1 32
225.0 1 33
130.0 1 34
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
137.0 1
132.5 1
130.0 1 1
129.0 1
127.5 1
126.5 1 1
124.0 1
122.0 3 1
120.5 1
119.5 1 1
118.5 1
117.0 2 1 1
116.0 1
115.5 2
115.0 1 2
114.5 2
113.5 1 1
112.5 1
111.5 2 1
111.0 1 2
110.5 1
110.0 1 1 1
109.0 1
108.5 1
108.0 1 3 1
107.5 1 1
106.5 4 2 1 2
106.0 1
105.5 5 2 1
105.0 1
104.5 3 2 1
104.0 1 3 1 1
103.0 3 2 1
102.0 1 5 1
101.5 3 1
101.0 3 5
100.5 1 3 3
99.5 3 3 3
99.0 1 1
98.5 7 7 1 2
98.0 1 2
97.5 2 1 1
97.0 1 4 1 1
96.0 5 13 2 3
95.5 1 1
95.0 7 19 4
94.5 1 2
94.0 3 5 1
93.5 2 3 5
93.0 1
92.5 1 15 3
92.0 1 1 1
91.5 7 11 1 1
91.0 1 2 2 2
90.5 7 6 1
90.0 7 10 1 2
89.5 1 1
89.0 8 14 1 3
88.5 3 1 1 3
88.0 4 12 1
87.5 4 3 2 3
87.0 4 5
86.5 9 11 3 4
86.0 1 1
85.5 6 9 4 3
85.0 5 4 1 3
84.5 1 10 2
84.0 2 12 2 6
83.5 7 4 3
83.0 3 23 1 6
82.5 2 3 2 3
82.0 5 10 1 6
81.5 1 4 2 1
81.0 3 8 3 1
80.5 3 14 1 7
80.0 4 11 5
79.5 2 22 2 4
79.0 2 3
78.5 2 9 2 2
78.0 1 10 2 1
77.5 6 4 6 3
77.0 5 18 1 1
76.5 4 2 1 1
76.0 4 8 1 1
75.5 3 6 1 2
75.0 4 14 1 1
74.5 2 14 1 5
74.0 7 4 1 3
73.5 5 10 3
73.0 2 7 2 5
72.5 5 6 3
72.0 1 3 3 3
71.5 4 4 3
71.0 8 10 2 2
70.5 5 9 3 4
70.0 4 4 4 4
69.5 2 3 1
69.0 8 2 3 2
68.5 2 5 2 2
68.0 2 9 1 1
67.5 4 2 1 3
67.0 8 6 3 3
66.5 3 10 5 1
66.0 4 3 8 6
65.5 11 6 4 2
65.0 4 5 5 2
64.5 3 5 3 1
64.0 5 3
63.5 1 3 1 1
63.0 2 3 2
62.5 1 5 1 2
62.0 2 2 2 1
61.5 3 2 4 4
61.0 1 5 1
60.5 3 1 2
60.0 2 3 1
59.5 2 1
59.0 3 1 1
58.5 2 2 3 1
58.0 2 4 4
57.5 1 3 3
57.0 3 3 1 3
56.5 2 1 3 1
56.0 2 1 2
55.5 2 4 2 1
55.0 3 3 1 4
54.5 2 1 1
54.0 5 2 5 1
53.5 1 2
53.0 1 1 3 1
52.5 1 1
52.0 3 1 1
51.5 3 2
51.0 1 1 2 1
50.0 1 1
49.5 1 3 1 1
49.0 1
48.5 1 1
48.0 2 4
47.5 2
47.0 1
46.5 1 1 1
46.0 1 1 1
45.5 1
44.5 1
44.0 1 2
43.5 1 1
43.0 1
42.0 1 2 4 4
40.5 1 1
39.5 2 1
39.0 1
38.0 1
37.5 1 1
36.0 3 4
35.5 1
33.0 1
32.5 1 1 1
31.0 1
30.0 2
26.0 1
24.0 1 3
21.0 1
18.0 1
14.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5 3
149.0 124.0 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0
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 2
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5 1 1
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 92.0 1
141.5 116.5 91.5 1
141.0 116.0 91.0 1 1
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5 1
139.0 114.0 89.0 1
138.5 113.5 1 88.5 1
138.0 113.0 88.0
137.5 112.5 87.5 1 1
137.0 1 112.0 87.0
136.5 111.5 86.5 2 1
136.0 111.0 1 86.0 1
135.5 110.5 85.5 3 1
135.0 110.0 1 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 2
133.5 108.5 83.5
133.0 108.0 83.0 1
132.5 107.5 82.5 2
132.0 107.0 82.0 1
131.5 106.5 1 81.5 2
131.0 106.0 1 81.0 3
130.5 105.5 80.5 1
130.0 1 105.0 80.0
129.5 104.5 79.5 1 1
129.0 104.0 1 79.0
128.5 103.5 78.5 2
128.0 103.0 78.0 2
127.5 102.5 77.5 2 4
127.0 102.0 77.0 1
126.5 101.5 2 1 76.5
126.0 101.0 76.0 1
125.5 100.5 75.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 1 49.5 1 24.5
74.0 1 49.0 24.0 2 1
73.5 3 48.5 1 23.5
73.0 2 48.0 3 1 23.0
72.5 1 2 47.5 22.5
72.0 2 1 47.0 22.0
71.5 2 1 46.5 21.5
71.0 1 1 46.0 1 21.0 1
70.5 2 45.5 20.5
70.0 4 45.0 20.0
69.5 44.5 19.5
69.0 1 2 44.0 1 19.0
68.5 2 43.5 18.5
68.0 1 43.0 18.0
67.5 1 42.5 17.5
67.0 2 1 42.0 1 2 17.0
66.5 1 4 41.5 16.5
66.0 4 4 41.0 16.0
65.5 3 1 40.5 1 15.5
65.0 2 3 40.0 15.0
64.5 1 2 39.5 1 1 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 1 1 38.0 13.0
62.5 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 3 36.5 11.5
61.0 1 36.0 1 3 11.0
60.5 1 35.5 10.5
60.0 1 2 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 2 33.5 8.5
58.0 1 3 33.0 8.0
57.5 32.5 7.5
57.0 1 32.0 7.0
56.5 2 1 31.5 6.5
56.0 1 31.0 6.0
55.5 1 1 30.5 5.5
55.0 1 30.0 1 1 5.0
54.5 29.5 4.5
54.0 3 2 29.0 4.0
53.5 2 28.5 3.5
53.0 3 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 2 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
137.0 1
130.0 1
113.5 1
111.0 1
110.0 1
106.5 1
106.0 1
104.0 1
101.5 3
99.5 1 2
98.5 1
97.0 1
96.0 2
94.5 2
92.0 1
91.5 1
91.0 2
90.0 1
89.5 1
89.0 1
88.5 1
88.0 1
87.5 1 1
86.5 3
86.0 1
85.5 4
85.0 1
84.0 2
83.0 1
82.5 1 1
82.0 1
81.5 1 1
81.0 3
80.5 1
79.5 1 1
78.5 2
78.0 1 1
77.5 6
77.0 1
76.5 1
76.0 1
75.5 1
75.0 1
74.5 1
74.0 1
73.5 2 1
73.0 1 1
72.5 2 1
72.0 3
71.5 3
71.0 1 1
70.5 1 1 1
70.0 1 3
69.0 1 2
68.5 2
68.0 1
67.5 1
67.0 3
66.5 2 3
66.0 7 1
65.5 1 3
65.0 1 4
64.5 1 2
63.5 1
63.0 2
62.5 1
62.0 1 1
61.5 2 2
61.0 1
60.5 1
60.0 3
59.5 1
59.0 1
58.5 2 1
58.0 2 2
57.0 1
56.5 3
56.0 1 1
55.5 1 1
55.0 1
54.0 5
53.5 1 1
53.0 2 1
51.0 1 1
49.5 1
48.5 1
48.0 4
46.5 1
46.0 1
44.0 1
42.0 3 1
40.5 1
39.5 2
36.0 4
32.5 1
30.0 2
24.0 3
21.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Utah
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 0.25 0.20 0.25 8.02* 0.99 0.30 0.00
2 0.35 0.25 4.80* 0.15 2.13 2.33 0.00
3 0.10 8.76* 0.54 0.35 0.05 0.20 0.00
4 0.59 1.68* 2.18 0.79 0.69 4.06 0.00
5 5.10* 0.50 4.16 0.10 0.05 0.10 0.00
6 0.25 4.26* 3.71 0.05 0.15 1.58 0.00
7 0.74 3.51* 0.74 0.64 0.74 3.61 0.00
8 1.04 0.59 4.50* 0.15 0.20 3.51 0.00
9 1.19 5.99* 0.89 0.20 0.20 1.53 0.00
10 1.68* 0.79 1.19 0.89 0.25 5.20 0.00
11 0.59 2.52* 0.30 0.74 0.10 5.74 0.00
12 0.40 1.24* 0.69 0.50 1.04 6.14 0.00
13 2.23 0.84 0.35 0.50 1.04* 5.05 0.00
14 1.04 0.45 0.84 0.64 1.68* 5.35 0.00
15 0.74 1.09 1.14 0.69 0.69* 5.64 0.00
16 0.89 0.64 0.84 1.98* 0.20 5.45 0.00
17 0.54 0.50 0.45 1.58* 0.59 6.34 0.00
18 1.73* 2.38 0.99 2.82 0.25 1.83 0.00
19 0.50 0.64 1.04 3.71* 0.45 3.66 0.00
20 0.69* 0.40 0.74 0.79 0.30 7.08 0.00
21 1.83 1.09* 0.30 0.10 0.35 6.34 0.00
22 0.59 0.45 0.64 1.98* 0.50 5.84 0.00
23 0.25 0.64 1.44* 1.24 0.50 5.94 0.00
24 1.34 1.24* 0.10 0.45 0.20 6.68 0.00
25 0.64 0.69 1.09 0.99* 0.30 6.29 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 Utah
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
149.0 124.0 99.0 1
148.5 123.5 98.5 4 3
148.0 123.0 98.0
147.5 122.5 97.5 2
147.0 122.0 3 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 4 1
145.5 120.5 95.5
145.0 120.0 95.0 5 2
144.5 119.5 1 94.5
144.0 119.0 94.0 2 1
143.5 118.5 1 93.5 1 1
143.0 118.0 93.0 1
142.5 117.5 92.5 1
142.0 117.0 1 1 92.0 1
141.5 116.5 91.5 5 1
141.0 116.0 91.0 1
140.5 115.5 90.5 6
140.0 115.0 1 90.0 3 3
139.5 114.5 89.5
139.0 114.0 89.0 3 3
138.5 113.5 88.5 2 1
138.0 113.0 88.0 3 1
137.5 112.5 87.5 1 1
137.0 112.0 87.0 2 2
136.5 111.5 2 86.5 5 3
136.0 111.0 86.0
135.5 110.5 85.5 3 3
135.0 110.0 1 85.0 4 1
134.5 109.5 84.5 1
134.0 109.0 1 84.0 2
133.5 108.5 83.5 6 1
133.0 108.0 1 83.0 2
132.5 107.5 1 82.5 2
132.0 107.0 82.0 4 1
131.5 106.5 4 81.5 1
131.0 106.0 81.0 3
130.5 105.5 4 80.5 1 1
130.0 105.0 80.0 3 1
129.5 104.5 1 2 79.5 1 1
129.0 104.0 1 79.0 2
128.5 103.5 78.5 1 1
128.0 103.0 2 1 78.0 1
127.5 102.5 77.5 2 2
127.0 102.0 1 77.0 5
126.5 101.5 76.5 1 3
126.0 101.0 2 1 76.0 1 3
125.5 100.5 1 75.5 2
American Mathematics Competitions
2005 AMC 12 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 25.0
74.5 2 49.5 24.5
74.0 2 5 49.0 24.0
73.5 1 2 48.5 23.5
73.0 2 48.0 1 1 23.0
72.5 1 2 47.5 22.5
72.0 1 47.0 22.0
71.5 1 3 46.5 1 21.5
71.0 4 4 46.0 21.0
70.5 1 3 45.5 20.5
70.0 2 1 45.0 20.0
69.5 1 44.5 19.5
69.0 3 4 44.0 19.0
68.5 1 1 43.5 18.5
68.0 1 1 43.0 18.0
67.5 3 1 42.5 17.5
67.0 4 3 42.0 1 17.0
66.5 2 1 41.5 16.5
66.0 4 41.0 16.0
65.5 5 4 40.5 15.5
65.0 2 40.0 15.0
64.5 2 39.5 14.5
64.0 2 3 39.0 14.0
63.5 1 38.5 13.5
63.0 2 38.0 1 13.0
62.5 37.5 1 12.5
62.0 2 37.0 12.0
61.5 1 36.5 11.5
61.0 1 36.0 11.0
60.5 1 1 35.5 10.5
60.0 35.0 10.0
59.5 1 1 34.5 9.5
59.0 34.0 9.0
58.5 2 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 1 7.5
57.0 2 1 32.0 7.0
56.5 2 31.5 6.5
56.0 1 31.0 6.0
55.5 2 30.5 5.5
55.0 1 2 30.0 5.0
54.5 1 1 29.5 4.5
54.0 1 4 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 2 27.0 2.0
51.5 2 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 A Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
122.0 1 1 1
119.5 1
118.5 1
117.0 1 1
115.0 1
111.5 1 1
110.0 1
109.0 1
108.0 1
107.5 1
106.5 2 1 1
105.5 2 3
104.5 2 1
104.0 1
103.0 1 1 1
102.0 1
101.0 1 2
100.5 1
99.5 1 1 1
99.0 1
98.5 5 2
97.5 2
97.0 1
96.0 4 1
95.0 1 3 3
94.0 1 1 1
93.5 1 1
93.0 1
92.5 1
92.0 1
91.5 5 2
91.0 1
90.5 1 3 3
90.0 3 4
89.0 1 3 4
88.5 1 2
88.0 4
87.5 1 2 1
87.0 3 1
86.5 5 4
85.5 4 2
85.0 1 3 1
84.5 1
84.0 2
83.5 1 3 3
83.0 2 1
82.5 1 1
82.0 2 3
81.5 1
81.0 2 1
80.5 1 1 1
80.0 1 3
79.5 1 1
79.0 1 1
78.5 1 1
78.0 1
77.5 4 2
77.0 3 2
76.5 2 2
76.0 2 2
75.5 2 1
75.0 1 1 2
74.5 1 1
74.0 1 3 3
73.5 3 2
73.0 2
72.5 3 2
72.0 1
71.5 1 3
71.0 5 3
70.5 3 2
70.0 1 2 1
69.5 1 1
69.0 1 3 4
68.5 2
68.0 1 1
67.5 3 1
67.0 6 2
66.5 2 1
66.0 1 1 2
65.5 6 5
65.0 1 3
64.5 1 2
64.0 4 1
63.5 1
63.0 1 1
62.5 1
62.0 1 1
61.5 1 2
61.0 1
60.5 2 1
59.5 1 1
58.5 1 1
58.0 2
57.5 1
57.0 1 2
56.5 1 1
56.0 1 1
55.5 1 1
55.0 1 2
54.5 1 1
54.0 1 1 3
53.0 1
52.5 1
52.0 1 2
51.5 1 2
51.0 1
49.5 1
48.0 1 1
46.5 1
42.0 1
38.0 1
37.5 1
32.5 1
American Mathematics Competitions
2005 AMC 12 A Results for Utah
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 0.08 0.20 9.29* 0.08 0.28 0.00
2 0.00 9.55* 0.14 0.25 0.00 0.06 0.00
3 0.40 3.74* 0.85 0.57 0.40 4.02 0.03
4 6.86* 0.25 2.58 0.11 0.06 0.14 0.00
5 0.28 6.23* 2.12 0.08 0.00 1.27 0.00
6 0.37 4.56* 0.28 0.25 0.88 3.65 0.00
7 0.59 0.28 6.32* 0.03 0.08 2.69 0.00
8 0.31 0.42 0.28 1.76* 0.40 6.83 0.00
9 3.03* 0.45 0.71 0.37 0.14 5.30 0.00
10 0.23 3.29* 0.08 0.54 0.06 5.81 0.00
11 0.76 0.45 0.23 0.31 3.17* 5.07 0.00
12 0.76 0.17 0.40 3.03* 1.36 4.28 0.00
13 0.08 0.17 0.34 2.44* 0.23 6.74 0.00
14 0.31 0.54 2.63 1.36* 0.42 4.73 0.00
15 0.17 0.31 1.22* 0.82 0.57 6.91 0.00
16 0.14 0.23 0.51 0.65* 0.20 8.27 0.00
17 2.15* 0.59 1.27 0.25 0.28 5.44 0.00
18 0.28* 0.40 0.25 0.11 0.20 8.75 0.00
19 0.82 2.72* 0.79 0.31 0.74 4.62 0.00
20 0.28 0.11 0.17 0.08 0.17* 9.18 0.00
21 0.23 0.31 0.20* 0.06 0.03 9.18 0.00
22 0.34 0.40* 0.08 0.11 0.08 8.98 0.00
23 0.48 0.40* 0.25 0.11 0.37 8.39 0.00
24 0.08 0.25* 0.08 0.14 0.06 9.38 0.00
25 0.20 0.20 0.17* 0.14 0.08 9.21 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 Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5
149.0 124.0 1 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 2
147.5 122.5 97.5 1
147.0 122.0 1 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 1 2
145.5 120.5 95.5 1
145.0 120.0 95.0 3
144.5 119.5 1 94.5
144.0 119.0 94.0 1
143.5 118.5 93.5 1 2
143.0 118.0 93.0
142.5 117.5 92.5 2
142.0 117.0 1 92.0
141.5 116.5 91.5 1
141.0 116.0 1 91.0 1
140.5 115.5 2 90.5 1
140.0 115.0 90.0 2
139.5 114.5 1 89.5 1
139.0 114.0 89.0 3
138.5 113.5 88.5 2
138.0 113.0 88.0
137.5 112.5 87.5 1 1
137.0 112.0 87.0
136.5 111.5 86.5 3 1
136.0 111.0 1 86.0
135.5 110.5 1 85.5 3
135.0 110.0 1 85.0 1 2
134.5 109.5 84.5 2
134.0 109.0 84.0 3 2
133.5 108.5 1 83.5 2
133.0 108.0 1 83.0 4 2
132.5 1 107.5 82.5 3
132.0 107.0 82.0 2 3
131.5 106.5 2 81.5 1
131.0 106.0 81.0 1
130.5 105.5 1 80.5 4 3
130.0 105.0 1 80.0 2 3
129.5 104.5 1 79.5 2 2
129.0 104.0 1 79.0
128.5 103.5 78.5 2
128.0 103.0 1 78.0 1
127.5 1 102.5 77.5 3
127.0 102.0 1 77.0 1
126.5 1 101.5 1 76.5 1
126.0 101.0 76.0 1
125.5 100.5 2 1 75.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 25.0
74.5 1 4 49.5 1 24.5
74.0 2 49.0 24.0
73.5 48.5 23.5
73.0 3 2 48.0 23.0
72.5 47.5 22.5
72.0 3 47.0 22.0
71.5 46.5 1 21.5
71.0 1 1 46.0 1 21.0
70.5 2 2 45.5 1 20.5
70.0 1 2 45.0 20.0
69.5 1 44.5 19.5
69.0 1 1 44.0 1 19.0
68.5 1 1 43.5 1 18.5
68.0 1 43.0 18.0
67.5 2 1 42.5 17.5
67.0 1 2 42.0 3 1 17.0
66.5 1 41.5 16.5
66.0 4 2 41.0 16.0
65.5 1 1 40.5 1 15.5
65.0 2 40.0 15.0
64.5 1 39.5 1 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 38.0 13.0
62.5 2 37.5 12.5
62.0 1 37.0 12.0
61.5 1 2 36.5 11.5
61.0 36.0 11.0
60.5 1 1 35.5 10.5
60.0 1 35.0 10.0
59.5 34.5 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 1 2 32.5 7.5
57.0 1 2 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 3 1 30.0 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
132.5 1
127.5 1
126.5 1
124.0 1
122.0 1
119.5 1
117.0 1
116.0 1
115.5 1 1
114.5 1 1
111.0 1 1
110.5 1
110.0 1
108.5 1
108.0 1
106.5 2
105.5 1
105.0 1
104.5 1
104.0 1
103.0 1
102.0 1
101.5 1
100.5 3
98.5 1 1
98.0 2
97.5 1
97.0 1
96.0 1 2
95.5 1
95.0 2 1 1
94.0 1
93.5 3 2
92.5 2 1
91.5 1
91.0 1 1
90.5 1
90.0 2
89.5 1
89.0 2 1
88.5 1 2
87.5 1 1 1
86.5 1 2 1
85.5 2 1
85.0 1 2
84.5 1 1
84.0 1 2 2 1
83.5 1 2
83.0 4 2
82.5 1 2
82.0 3 2 1
81.5 1
81.0 1
80.5 1 1 5
80.0 2 3
79.5 2 2
78.5 2
78.0 1
77.5 1 2
77.0 1
76.5 1
76.0 1
75.5 1 1
75.0 1
74.5 1 4
74.0 3
73.0 1 3 1
72.0 1 2
71.0 1 1
70.5 4
70.0 2 1 1
69.5 1
69.0 2
68.5 1 1
68.0 1
67.5 1 2
67.0 1 2
66.5 1
66.0 3 3
65.5 1 1
65.0 2
64.5 1
63.5 1
62.5 2
62.0 1
61.5 2 2
60.5 1 1
60.0 1
59.0 1
58.5 1
57.5 2 1
57.0 3
56.5 1
55.5 1
55.0 1 3
54.5 1
54.0 1
53.0 1
52.0 1
51.0 1
50.0 1
49.5 1
49.0 1
46.5 1
46.0 1
45.5 1
44.0 1 1
43.5 1
42.0 1 3
40.5 1
39.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Utah
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 8.70* 0.22 0.52 0.17 0.30 0.09 0.00
2 0.09 0.30 0.17 8.52* 0.26 0.65 0.00
3 0.00 0.61 1.61 6.22* 1.04 0.52 0.00
4 0.52 0.04 0.83 3.70* 0.13 4.78 0.00
5 0.09 0.09 8.78* 0.17 0.57 0.30 0.00
6 0.09 8.57* 0.35 0.26 0.09 0.65 0.00
7 0.87 1.43* 0.26 1.26 0.65 5.52 0.00
8 6.57* 0.04 1.22 0.13 0.13 1.91 0.00
9 0.39 0.52 1.78 5.48* 0.65 1.17 0.00
10 1.35* 0.87 0.52 0.22 0.26 6.78 0.00
11 0.35 0.61 0.30 2.35 1.70* 4.70 0.00
12 0.96 1.26 0.57 0.26 0.39* 6.57 0.00
13 0.39 0.65 2.43* 2.00 0.39 4.13 0.00
14 0.22 0.30 2.04* 1.52 0.39 5.52 0.00
15 1.09 0.61 0.57 4.70* 0.57 2.48 0.00
16 0.39 0.78 0.78 0.30* 0.09 7.65 0.00
17 0.35 3.04* 0.74 0.61 0.22 5.04 0.00
18 0.48 4.39 1.09 2.43* 0.52 1.09 0.00
19 0.52 5.13* 0.57 0.96 0.57 2.26 0.00
20 0.57 0.30 1.17* 0.57 0.13 7.26 0.00
21 0.39* 0.57 0.22 0.30 0.35 8.17 0.00
22 0.48 1.04 0.65* 0.22 0.30 7.30 0.00
23 2.48 0.48 0.39* 0.17 0.09 6.39 0.00
24 0.39 0.13 0.39 0.35 1.13* 7.61 0.00
25 0.17 0.30 3.48* 0.26 0.13 5.65 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 Utah
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 3
149.0 124.0 99.0 1
148.5 123.5 98.5 5 2
148.0 123.0 98.0 1
147.5 122.5 97.5 1
147.0 122.0 97.0 3 1
146.5 121.5 96.5
146.0 121.0 96.0 9 3
145.5 120.5 1 95.5 1
145.0 120.0 95.0 18
144.5 119.5 94.5 1
144.0 119.0 94.0 3 2
143.5 118.5 93.5 3
143.0 118.0 93.0
142.5 117.5 92.5 11 3
142.0 117.0 1 92.0
141.5 116.5 91.5 5 6
141.0 116.0 91.0 1 1
140.5 115.5 90.5 1 4
140.0 115.0 1 1 90.0 8 2
139.5 114.5 89.5
139.0 114.0 89.0 10 4
138.5 113.5 1 88.5 1
138.0 113.0 88.0 6 6
137.5 112.5 1 87.5 3
137.0 112.0 87.0 2 3
136.5 111.5 1 86.5 7 4
136.0 111.0 86.0 1
135.5 110.5 85.5 6 3
135.0 110.0 85.0 2 1
134.5 109.5 84.5 6 4
134.0 109.0 84.0 9 3
133.5 108.5 83.5 3 1
133.0 108.0 2 1 83.0 16 7
132.5 107.5 1 82.5 3
132.0 107.0 82.0 2 7
131.5 106.5 2 81.5 3 1
131.0 106.0 81.0 3 4
130.5 105.5 1 1 80.5 10 4
130.0 1 105.0 80.0 4 6
129.5 104.5 1 79.5 12 9
129.0 1 104.0 1 2 79.0 3
128.5 103.5 78.5 6 3
128.0 103.0 2 78.0 6 4
127.5 102.5 77.5 1 3
127.0 102.0 4 1 77.0 9 8
126.5 1 101.5 76.5 2
126.0 101.0 5 76.0 3 5
125.5 100.5 3 75.5 3 3
American Mathematics Competitions
2005 AMC 12 B Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 5 50.0 1 25.0
74.5 8 6 49.5 1 1 24.5
74.0 3 49.0 24.0 1
73.5 5 5 48.5 1 23.5
73.0 2 5 48.0 23.0
72.5 2 4 47.5 1 1 22.5
72.0 1 2 47.0 1 22.0
71.5 2 1 46.5 21.5
71.0 8 2 46.0 21.0
70.5 3 6 45.5 20.5
70.0 2 2 45.0 20.0
69.5 3 44.5 1 19.5
69.0 1 1 44.0 19.0
68.5 1 4 43.5 1 18.5
68.0 6 3 43.0 1 18.0 1
67.5 2 42.5 17.5
67.0 5 1 42.0 1 17.0
66.5 7 3 41.5 16.5
66.0 2 1 41.0 16.0
65.5 2 4 40.5 15.5
65.0 2 3 40.0 15.0
64.5 2 2 39.5 14.5 1
64.0 1 2 39.0 1 14.0
63.5 1 2 38.5 13.5
63.0 3 38.0 13.0
62.5 1 3 37.5 1 12.5
62.0 1 1 37.0 12.0
61.5 2 36.5 11.5
61.0 1 4 36.0 1 2 11.0
60.5 35.5 1 10.5
60.0 1 1 35.0 10.0
59.5 34.5 9.5
59.0 2 1 34.0 9.0
58.5 1 33.5 8.5
58.0 2 2 33.0 1 8.0
57.5 2 1 32.5 1 7.5
57.0 3 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 1 6.0
55.5 2 2 30.5 5.5
55.0 1 2 30.0 5.0
54.5 1 29.5 4.5
54.0 2 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 1 26.5 1.5
51.0 1 26.0 1 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
129.0 1
126.5 1
120.5 1
117.0 1
115.0 1 1
113.5 1
112.5 1
111.5 1
108.0 1 2
107.5 1
106.5 1 1
105.5 1 1
104.5 1 1
104.0 2 1
103.0 1 1
102.0 1 1 3
101.0 3 2
100.5 1 2
99.5 1 2
99.0 1
98.5 3 1 3
98.0 1
97.5 1
97.0 1 1 2
96.0 2 7 4
95.5 1
95.0 5 6 7 1
94.5 1
94.0 2 3
93.5 3
92.5 1 3 7 4
92.0 1
91.5 2 6 3
91.0 1 1
90.5 2 3 1
90.0 1 1 5 3
89.0 7 7
88.5 1
88.0 1 5 3 3
87.5 1 2
87.0 2 2 1
86.5 1 6 4
86.0 1
85.5 2 4 3
85.0 2 2
84.5 3 6 1
84.0 2 1 7 2
83.5 1 3
83.0 1 6 10 6
82.5 3
82.0 3 5 2
81.5 2 2
81.0 4 3 1
80.5 1 9 4
80.0 7 2 1 1
79.5 12 7 3
79.0 1 2
78.5 1 2 2 4
78.0 1 1 4 4
77.5 2 1 1
77.0 4 9 5
76.5 2
76.0 4 3 1
75.5 2 1 3
75.0 9 4 1
74.5 2 7 5
74.0 4
73.5 6 2 2
73.0 2 4 1
72.5 1 3 2
72.0 1 1 1
71.5 1 2 1
71.0 3 5 2
70.5 4 5
70.0 1 3
69.5 1 2
69.0 1 1
68.5 2 1 2
68.0 2 5 2
67.5 2
67.0 2 3 1
66.5 1 3 5 1
66.0 1 1 1
65.5 5 1
65.0 3 2
64.5 5
64.0 2 1
63.5 2 1
63.0 1 2
62.5 2 1 1 1
62.0 2
61.5 2
61.0 2 2 1
60.0 1 1
59.0 2 1
58.5 1 1
58.0 1 1 2
57.5 1 1 1
57.0 2 1
56.5 1
56.0 1
55.5 1 2 1
55.0 2 1
54.5 1
54.0 1 1
53.5 1
53.0 1
52.5 1
52.0 1
51.5 1 1
51.0 1
50.0 1
49.5 1 1 1
48.5 1
47.5 2
47.0 1
46.0 1
44.5 1
43.5 1
43.0 1
42.0 1 1
39.0 1
37.5 1
36.0 1 1 1
35.5 1
33.0 1
32.5 1
31.0 1
26.0 1
24.0 1
18.0 1
14.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Utah
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 8.72* 0.31 0.34 0.13 0.41 0.08 0.00
2 0.15 0.34 0.20 7.98* 0.26 1.07 0.00
3 0.10 0.02 8.85* 0.11 0.39 0.52 0.00
4 0.15 8.67* 0.10 0.23 0.28 0.57 0.00
5 6.67* 0.08 1.00 0.07 0.10 2.08 0.00
6 1.95* 0.89 0.54 0.28 0.21 6.13 0.00
7 1.26 1.36 0.18 1.62* 0.33 5.25 0.00
8 0.77 1.82 3.98* 0.02 1.00 2.41 0.00
9 0.38 6.92* 0.28 0.33 0.34 1.75 0.00
10 0.21 0.44 0.10 1.64 2.57* 5.03 0.00
11 1.54 0.77 0.79 3.54* 0.52 2.84 0.00
12 0.33 0.64 0.52 0.52* 0.05 7.93 0.00
13 0.34 0.30 0.18 0.77* 0.21 8.20 0.00
14 0.52 1.05 0.46 0.26 0.84* 6.87 0.00
15 0.48 0.23 0.23 4.15* 0.46 4.46 0.00
16 0.23 0.20 0.61 0.30* 0.23 8.44 0.00
17 0.38 0.43* 0.26 0.10 0.67 8.16 0.00
18 1.46 0.49 0.16* 0.33 0.20 7.36 0.00
19 0.33 0.07 0.11 0.23 1.52* 7.74 0.00
20 0.16 0.31 3.84* 0.33 1.64 3.72 0.00
21 0.07 0.16 0.51* 0.25 0.16 8.85 0.00
22 0.59 1.08 0.07 0.13 0.05* 8.08 0.00
23 0.08 0.11* 0.18 0.10 0.03 9.49 0.00
24 0.28* 0.20 0.13 0.33 0.21 8.85 0.00
25 0.21* 0.30 0.20 0.18 0.26 8.85 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column