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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 353
Number of unofficial participants: 0
Average score of participants: 75.0
Average score for female students is: 70.3 ( 142 Students)
Average score for male students is: 79.9 ( 183 Students)
Average score for unspecified gender is 66.6 ( 28 Students)
Average score for grade 10 is: 81.6 ( 133 Students)
Average score for grade 9 is: 69.5 ( 141 Students)
Average score for grade 8 and below is: 74.8 ( 70 Students)
Average score with unknown grade: 65.7 ( 9 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 9
Number of schools returning results 16
Average school winning score 110.63
American Mathematics Competitions
2006 AMC 12 A Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 398
Number of unofficial participants: 0
Average score of participants: 81.4
Average score for female students is: 76.2 ( 150 Students)
Average score for male students is: 86.7 ( 202 Students)
Average score for unspecified gender is 75.0 ( 46 Students)
Average score for grade 12 is: 81.6 ( 163 Students)
Average score for grade 11 is: 81.3 ( 205 Students)
Average score for grade 10 is: 85.9 ( 17 Students)
Average score for grade 9 is: 80.3 ( 6 Students)
Average score for grade 8 and below is: 100.5 ( 1 Student)
Average score with unknown grade: 61.2 ( 6 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 65
Number of schools returning results 17
Average school winning score 110.24
Average school team score 312.12
American Mathematics Competitions
2006 AMC 10 B Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 205
Number of unofficial participants: 0
Average score of participants: 69.8
Average score for female students is: 65.3 ( 67 Students)
Average score for male students is: 73.3 ( 115 Students)
Average score for unspecified gender is 65.6 ( 23 Students)
Average score for grade 10 is: 69.7 ( 88 Students)
Average score for grade 9 is: 70.3 ( 62 Students)
Average score for grade 8 and below is: 70.2 ( 36 Students)
Average score with unknown grade: 68.0 ( 19 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 11
Average school winning score 98.59
American Mathematics Competitions
2006 AMC 12 B Results for Utah
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 468
Number of unofficial participants: 0
Average score of participants: 83.1
Average score for female students is: 77.7 ( 164 Students)
Average score for male students is: 85.7 ( 247 Students)
Average score for unspecified gender is 87.6 ( 57 Students)
Average score for grade 12 is: 87.1 ( 97 Students)
Average score for grade 11 is: 81.8 ( 186 Students)
Average score for grade 10 is: 79.6 ( 125 Students)
Average score for grade 9 is: 82.3 ( 15 Students)
Average score for grade 8 and below is: 102.0 ( 1 Student)
Average score with unknown grade: 89.5 ( 44 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 67
Number of schools returning results 14
Average school winning score 112.11
Average school team score 322.29
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
360.0 1 1
350.0 1 2
349.5 1 3
348.0 1 4
347.5 1 5
346.5 1 6
338.5 1 7
335.0 2 8
332.5 1 10
328.0 1 11
326.0 1 12
322.0 1 13
321.0 1 14
320.5 1 15
316.5 1 16
316.0 1 17
310.0 1 1 18
307.5 1 20
307.0 1 21
305.5 1 22
302.0 1 23
297.5 1 24
297.0 1 25
294.0 1 26
291.5 1 27
290.0 1 28
288.5 1 29
268.0 1 30
257.0 1 31
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
146.5 1
133.5 1
132.5 1
132.0 1
129.0 1
126.0 1
125.0 1
124.0 1
122.5 1
121.5 1 1
120.5 1
119.5 2 1 2 1
118.5 1
118.0 1 1
117.0 1 1
116.0 4 1
115.5 1
115.0 2 2
114.5 3
113.5 1 2
112.5 8 2
111.5 1 6
111.0 1
110.5 1
110.0 4 3 3
109.0 3 4
108.5 2
108.0 1 6
107.5 2 2 1
106.5 4 4
105.5 3 5 1
105.0 1
104.5 7
104.0 6 1
103.5 1
103.0 5 3 4
102.5 1
102.0 6 8 1
101.5 2 3
101.0 2 4 1
100.5 10 1 1
99.5 5 5 2 1
99.0 1
98.5 1 11 2
98.0 2 2 2 1
97.5 1 1
97.0 3 5 3 2
96.0 8 7 2 3
95.5 1 3
95.0 1 18 1
94.5 6 4 4 2
94.0 1 3 2 1
93.5 5 3 1
93.0 1
92.5 5 13 2
92.0 8 1 6 1
91.5 2 3 2
91.0 9 2 3 1
90.5 2 4 2
90.0 3 8 5 1
89.5 2 3
89.0 3 19 6 1
88.5 5 1 3 1
88.0 3 8 2 2
87.5 7 2 2 1
87.0 1 4 1 1
86.5 5 9 2 2
86.0 4 3 1
85.5 4 4 5 2
85.0 4 1 4 2
84.5 3 11 5
84.0 7 5 3
83.5 3 3 4
83.0 4 14 3 3
82.5 4 1 1
82.0 6 4 6 2
81.5 7 4 1 7
81.0 3 7 7 2
80.5 9 15 2
80.0 4 2 2
79.5 3 4 2 4
79.0 6 2 2 1
78.5 7 10 1 1
78.0 6 7 6 4
77.5 4 6 1 2
77.0 5 15 2 7
76.5 5 1 2
76.0 4 7 4 1
75.5 3 4 5 3
75.0 5 6 3 2
74.5 5 8 7 4
74.0 4 2 6 1
73.5 4 1 4 3
73.0 9 3 2
72.5 4 8 3 5
72.0 5 1 4 5
71.5 3 5 4 2
71.0 7 4 3 2
70.5 3 3 2 2
70.0 1 6 4 4
69.5 4 4 3 2
69.0 1 6 3
68.5 7 4 7 4
68.0 2 4 2 3
67.5 1 3 3 4
67.0 1 2 3 1
66.5 4 1
66.0 3 3 9 3
65.5 4 3 1
65.0 6 4 4 1
64.5 3 1 2
64.0 2 1 3 1
63.5 2 3 7
63.0 5 2 2
62.5 4 4 4 5
62.0 1 4 2 2
61.5 6 6 4 2
61.0 2 2 7
60.5 2 3 3 2
60.0 2 3 8 2
59.5 3 4 1 1
59.0 1 1 3
58.5 2 3 1
58.0 1 1 3 1
57.5 7 3 5
57.0 3 2
56.5 2 2 2 3
56.0 1 1 3
55.5 1 6
55.0 2 1
54.5 1 2 3 1
54.0 5 5
53.5 2 3
53.0 1 1 1 1
52.5 1 2
52.0 1 1
51.5 1 2 1
51.0 3 1
50.5 1 1 1 1
50.0 2
49.5 1 2 1
49.0 2
48.5 1 1
48.0 2 3 1
47.5 1 3
47.0 1 1
46.5 1 1 1
46.0 2 1
45.5 1
44.5 3 2
43.5 1 1 2
43.0 1
42.5 1
42.0 1 1 2
40.5 1
40.0 2
39.5 1 2
39.0 1
38.5 2
38.0 1
37.0 2
36.0 1 1
35.5 1
35.0 1
34.5 1 1
34.0 1
33.5 1
32.0 1
30.5 1
30.0 3 1
29.5 1 1
29.0 2
27.0 1
24.5 1
24.0 1 1
23.5 1
18.0 1
12.0 1
1
American Mathematics Competitions
2006 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 1 100.0
149.5 124.5 99.5 1 1
149.0 124.0 1 99.0 1
148.5 123.5 98.5 1
148.0 123.0 98.0 2
147.5 122.5 1 97.5 1
147.0 122.0 97.0 2 1
146.5 1 121.5 1 96.5
146.0 121.0 96.0 1
145.5 120.5 1 95.5 2 1
145.0 120.0 95.0
144.5 119.5 2 94.5 3 1
144.0 119.0 94.0 2
143.5 118.5 1 93.5 1
143.0 118.0 93.0 1
142.5 117.5 92.5 1 1
142.0 117.0 92.0 6
141.5 116.5 91.5 1 1
141.0 116.0 91.0 2 1
140.5 115.5 1 90.5 2
140.0 115.0 90.0 3 1
139.5 114.5 89.5 1 2
139.0 114.0 89.0 4 2
138.5 113.5 88.5 2 1
138.0 113.0 88.0 1 1
137.5 112.5 87.5 1 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1 1
136.0 111.0 86.0 1 2
135.5 110.5 1 85.5 4 1
135.0 110.0 2 1 85.0 3 1
134.5 109.5 84.5 3 2
134.0 109.0 84.0
133.5 108.5 1 83.5 3 1
133.0 108.0 83.0 3
132.5 107.5 1 82.5 1
132.0 107.0 82.0 4 2
131.5 106.5 81.5 1
131.0 106.0 81.0 2 5
130.5 105.5 1 80.5 2
130.0 105.0 1 80.0 2
129.5 104.5 79.5 1
129.0 104.0 79.0 1 1
128.5 103.5 1 78.5
128.0 103.0 4 78.0 4 2
127.5 102.5 1 77.5 1
127.0 102.0 1 77.0 2
126.5 101.5 3 76.5 1 1
126.0 1 101.0 1 3 76.0 3 1
125.5 100.5 75.5 2 3
American Mathematics Competitions
2006 AMC 10 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 1 25.0
74.5 3 4 49.5 2 24.5 1
74.0 2 2 49.0 24.0
73.5 3 1 48.5 23.5 1
73.0 1 2 48.0 1 23.0
72.5 1 2 47.5 2 1 22.5
72.0 3 1 47.0 22.0
71.5 1 3 46.5 1 21.5
71.0 3 46.0 21.0
70.5 2 45.5 20.5
70.0 2 2 45.0 20.0
69.5 1 2 44.5 1 19.5
69.0 1 1 44.0 19.0
68.5 4 3 43.5 1 18.5
68.0 2 43.0 18.0 1
67.5 2 1 42.5 17.5
67.0 3 42.0 1 1 17.0
66.5 1 41.5 16.5
66.0 2 6 41.0 16.0
65.5 3 40.5 15.5
65.0 2 1 40.0 1 1 15.0
64.5 39.5 1 14.5
64.0 1 1 39.0 1 14.0
63.5 2 1 38.5 2 13.5
63.0 1 38.0 13.0
62.5 2 2 37.5 12.5
62.0 1 1 37.0 12.0
61.5 2 1 36.5 11.5
61.0 2 5 36.0 11.0
60.5 1 2 35.5 1 10.5
60.0 6 1 35.0 1 10.0
59.5 1 34.5 1 9.5
59.0 1 34.0 1 9.0
58.5 1 1 33.5 1 8.5
58.0 2 1 33.0 8.0
57.5 32.5 7.5
57.0 32.0 1 7.0
56.5 1 1 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 2 5.0
54.5 2 29.5 4.5
54.0 3 2 29.0 4.0
53.5 1 2 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 2 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
146.5 1
132.0 1
126.0 1
125.0 1
124.0 1
122.5 1
121.5 1
120.5 1
119.5 1 1
118.5 1
118.0 1
115.5 1
110.5 1
110.0 1 2
108.5 2
107.5 1
105.5 1
105.0 1
103.5 1
103.0 1 2 1
102.5 1
102.0 1
101.5 1 2
101.0 4
99.5 1 1
99.0 1
98.5 1 1
98.0 1 1
97.5 1
97.0 2 1
96.0 1 1
95.5 1 1 1
94.5 1 3
94.0 1 1
93.5 1
93.0 1
92.5 1 1
92.0 1 2 3
91.5 1 1
91.0 1 2
90.5 1 1
90.0 3 2
89.5 2 1
89.0 1 4 1
88.5 1 2
88.0 2
87.5 2
87.0 1
86.5 2
86.0 1 2
85.5 1 1 3
85.0 4
84.5 1 4
83.5 1 1 1 1
83.0 3
82.5 1
82.0 3 2 1
81.5 1
81.0 3 4
80.5 1 1
80.0 2
79.5 1 1
79.0 1 1
78.5 1
78.0 1 2 3
77.5 1
77.0 1 1
76.5 1 1
76.0 1 1 2
75.5 4 1
75.0 1 2
74.5 1 1 3 2
74.0 1 1 3 1
73.5 1 1 2
73.0 1 1 1
72.5 1 1 1
72.0 2 2
71.5 1 2 1
71.0 1 2
70.5 1 1
70.0 2 2
69.5 1 2
69.0 2 1
68.5 1 4 2
68.0 2
67.5 1 1 1
67.0 1 1 1
66.5 1
66.0 1 2 2 4
65.5 1 1 1
65.0 1 1 2
64.0 1 1 1
63.5 1 1 1
63.0 1 1
62.5 1 1 2
62.0 1 1
61.5 1 2 1
61.0 1 3 3
60.5 2 1
60.0 1 2 4 1
59.5 1
59.0 1
58.5 1 2
58.0 2 1
56.5 1 1
56.0 1
55.5 1
54.5 2 1
54.0 1 1 3
53.5 2 1
53.0 1
52.5 1
51.5 1 1
51.0 1
50.5 1
50.0 2
49.5 1 1
48.5 1
48.0 1 1 1
47.5 1 2
46.5 1
44.5 1 1
43.5 1
42.0 1 1
40.0 1 1
39.5 1
39.0 1
38.5 1 1
35.5 1
35.0 1
34.5 1
34.0 1
33.5 1
32.0 1
30.0 3
29.5 1
29.0 1 1
27.0 1
24.5 1
23.5 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Utah
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.69* 0.06 0.06 0.08 0.03 0.06 0.03
2 0.65 0.14 2.72* 0.20 1.61 4.65 0.03
3 0.14 7.85* 0.11 0.17 1.39 0.34 0.00
4 2.38 0.31 0.11 0.14 6.09* 0.96 0.00
5 0.42 1.13 1.33 6.35* 0.34 0.42 0.00
6 0.28 7.22* 0.62 0.25 0.08 1.53 0.00
7 7.20* 0.28 0.45 0.17 0.28 1.61 0.00
8 1.16 0.59 0.54 0.20 2.07* 5.44 0.00
9 1.59 1.53 4.53* 0.40 0.28 1.61 0.06
10 0.25 0.34 0.57 2.15 0.91* 5.75 0.03
11 1.47 1.22 1.81* 0.76 0.68 4.05 0.00
12 1.02 0.37 4.53* 1.10 0.48 2.49 0.00
13 0.40 1.27 0.68 4.53* 0.25 2.86 0.00
14 1.64 3.34* 0.51 1.05 0.76 2.66 0.03
15 0.74 0.37 0.45 1.36* 0.93 6.15 0.00
16 0.28 0.20 0.59 0.51* 0.85 7.56 0.00
17 2.15* 0.45 0.40 0.48 0.25 6.20 0.06
18 1.36 0.28 2.52* 0.45 0.25 5.13 0.00
19 0.34 1.39 1.10* 0.57 0.23 6.35 0.03
20 0.51 1.50 0.57 0.25 0.59* 6.54 0.03
21 1.25 0.65 0.48 0.71 1.16* 5.75 0.00
22 0.11 0.85 3.00* 3.54 0.79 1.70 0.00
23 0.96 1.10* 0.25 0.42 0.68 6.57 0.00
24 0.82 0.65* 0.45 0.20 0.51 7.37 0.00
25 1.61 0.74 0.57* 0.82 0.51 5.75 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 A Results for 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 4 1
149.0 124.0 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0 1 1
147.5 122.5 97.5
147.0 122.0 97.0 1 2
146.5 121.5 96.5
146.0 121.0 96.0 6 2
145.5 120.5 95.5 1
145.0 120.0 95.0 1
144.5 119.5 1 1 94.5 5 1
144.0 119.0 94.0 1
143.5 118.5 93.5 2 3
143.0 118.0 93.0
142.5 117.5 92.5 2 1
142.0 117.0 92.0 5 2
141.5 116.5 91.5 1
141.0 116.0 2 1 91.0 5 4
140.5 115.5 90.5 2
140.0 115.0 2 90.0 2
139.5 114.5 89.5 1 1
139.0 114.0 89.0 3
138.5 113.5 1 88.5 2 1
138.0 113.0 88.0 3
137.5 112.5 7 1 87.5 3 4
137.0 112.0 87.0 1
136.5 111.5 1 86.5 1 3
136.0 111.0 86.0 1 2
135.5 110.5 85.5 2 2
135.0 110.0 3 85.0 4
134.5 109.5 84.5 2 1
134.0 109.0 3 84.0 3 3
133.5 108.5 83.5 1 1
133.0 108.0 1 83.0 1
132.5 107.5 2 82.5 4
132.0 107.0 82.0 3 3
131.5 106.5 4 81.5 3 2
131.0 106.0 81.0 1 2
130.5 105.5 3 80.5 2 6
130.0 105.0 80.0 3 1
129.5 104.5 79.5 2 1
129.0 1 104.0 5 1 79.0 4 2
128.5 103.5 78.5 3 4
128.0 103.0 4 1 78.0 2 1
127.5 102.5 77.5 1 3
127.0 102.0 6 77.0 1 2
126.5 101.5 1 76.5 2 2
126.0 101.0 76.0 1 3
125.5 100.5 8 2 75.5 2
American Mathematics Competitions
2006 AMC 12 A Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 4 50.0 25.0
74.5 1 3 49.5 24.5
74.0 1 2 49.0 24.0
73.5 2 2 48.5 1 23.5
73.0 4 3 48.0 1 1 23.0
72.5 2 2 47.5 1 22.5
72.0 2 3 47.0 1 22.0
71.5 3 46.5 1 21.5
71.0 3 3 46.0 2 21.0
70.5 1 2 45.5 20.5
70.0 45.0 20.0
69.5 2 1 44.5 1 19.5
69.0 1 44.0 19.0
68.5 5 2 43.5 18.5
68.0 1 1 43.0 18.0
67.5 1 42.5 17.5
67.0 1 42.0 17.0
66.5 41.5 16.5
66.0 3 41.0 16.0
65.5 40.5 15.5
65.0 4 1 40.0 15.0
64.5 1 1 39.5 14.5
64.0 1 39.0 14.0
63.5 2 38.5 13.5
63.0 38.0 13.0
62.5 4 37.5 12.5
62.0 1 37.0 12.0 1
61.5 3 3 36.5 11.5
61.0 1 1 36.0 11.0
60.5 2 35.5 10.5
60.0 1 1 35.0 10.0
59.5 2 1 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 5 32.5 7.5
57.0 32.0 7.0
56.5 1 1 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 2 30.0 5.0
54.5 1 29.5 4.5
54.0 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 1 2 26.0 1.0
50.5 1 25.5 .5
0.0 1 0
American Mathematics Competitions
2006 AMC 12 A Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
129.0 1
119.5 2
116.0 1 2 1
115.0 2
113.5 1
112.5 5 3
111.5 1
110.0 1 3
109.0 1 1 1
108.0 1
107.5 2
106.5 1 2 1
105.5 2 1
104.0 3 3
103.0 1 4
102.0 5 1
101.5 1 1
100.5 1 2 7
99.5 3 2
98.5 1
98.0 2
97.0 1 2
96.0 3 5
95.5 1
95.0 1
94.5 2 4
94.0 1
93.5 4 1
92.5 1 1 3
92.0 1 4 3
91.5 1 1
91.0 1 4 4
90.5 1 1
90.0 1 2
89.5 1 1
89.0 3
88.5 4 1
88.0 3
87.5 1 4 2
87.0 1
86.5 3 2
86.0 4
85.5 2 2
85.0 3 1
84.5 1 2
84.0 4 3
83.5 1 2
83.0 2 2
82.5 1 3
82.0 1 4 1
81.5 5 2
81.0 1 2
80.5 8 1
80.0 1 3
79.5 3
79.0 2 4
78.5 3 4
78.0 4 2
77.5 3 1
77.0 4 1
76.5 1 3 1
76.0 3 1
75.5 3
75.0 4 1
74.5 1 4
74.0 1 2 1
73.5 4
73.0 6 3
72.5 2 2
72.0 1 2 2
71.5 3
71.0 3 4
70.5 3
70.0 1
69.5 1 3
69.0 1
68.5 6 1
68.0 2
67.5 1
67.0 1
66.0 2 1
65.0 1 3 2
64.5 1 1 1
64.0 1 1
63.5 1 1
62.5 3 1
62.0 1
61.5 1 1 4
61.0 2
60.5 2
60.0 1 1
59.5 1 2
58.5 1 1
58.0 1
57.5 2 5
56.5 2
55.0 2
54.5 1
53.0 1
52.0 1
51.5 1
51.0 3
50.5 1
48.5 1
48.0 2
47.5 1
47.0 1
46.5 1
46.0 2
44.5 1 1 1
42.0 1
36.0 1
24.0 1
12.0 1
1
American Mathematics Competitions
2006 AMC 12 A Results for Utah
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.92* 0.00 0.03 0.00 0.00 0.03 0.03
2 1.43 0.35 3.39* 0.10 0.78 3.92 0.03
3 0.05 8.69* 0.03 0.03 1.03 0.15 0.03
4 2.19 0.15 0.03 0.08 7.04* 0.50 0.03
5 0.15 0.78 0.93 7.54* 0.25 0.33 0.03
6 7.26* 0.18 0.20 0.28 0.15 1.91 0.03
7 0.75 4.50* 0.80 0.65 0.30 2.96 0.03
8 1.26 1.16 5.85* 0.40 0.20 1.11 0.03
9 7.81* 0.15 0.08 0.08 0.18 1.68 0.03
10 0.30 0.30 0.45 2.84 1.78* 4.30 0.03
11 1.41 1.23 2.31* 1.48 0.53 3.02 0.03
12 1.71 5.15* 0.00 0.83 0.18 2.09 0.05
13 0.48 0.18 0.25 0.05 5.20* 3.82 0.03
14 0.08 0.65 4.22* 2.69 0.48 1.86 0.03
15 2.81* 2.04 0.30 0.55 2.09 2.19 0.03
16 0.33 3.39* 0.18 0.25 0.48 5.35 0.03
17 0.18 0.40* 0.35 0.50 0.13 8.42 0.03
18 1.48 0.15 0.45 0.58 0.35* 6.96 0.03
19 0.13 0.08 0.18 0.20 0.18* 9.25 0.00
20 1.81 0.58 0.20* 0.28 0.13 6.98 0.03
21 0.03 0.13 0.28 0.15 0.18* 9.22 0.03
22 0.13 0.18 0.15 0.15* 0.08 9.30 0.03
23 0.03 0.20* 0.15 0.03 0.25 9.32 0.03
24 0.90 0.10 0.25 0.33* 0.23 8.17 0.03
25 0.18 0.13 0.25 0.18 0.10* 9.15 0.03
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 10 B Results for 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 1
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0 1
147.5 122.5 97.5
147.0 122.0 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 1 1
145.5 120.5 95.5
145.0 120.0 95.0 1
144.5 119.5 1 94.5 1 1
144.0 119.0 94.0 1
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 1 92.0 1
141.5 116.5 91.5
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 114.5 89.5
139.0 114.0 89.0 1
138.5 113.5 88.5 1
138.0 113.0 88.0 1 1
137.5 112.5 87.5 1
137.0 112.0 87.0 1
136.5 111.5 86.5 2
136.0 111.0 1 86.0 1
135.5 110.5 85.5 2
135.0 110.0 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 1 1
133.5 1 108.5 83.5
133.0 108.0 83.0 1 1
132.5 107.5 82.5
132.0 107.0 82.0 1 1
131.5 106.5 81.5 6 1
131.0 106.0 81.0 1
130.5 105.5 80.5
130.0 105.0 80.0
129.5 104.5 79.5 1 2
129.0 104.0 79.0 1
128.5 103.5 78.5 1
128.0 103.0 78.0 2 2
127.5 102.5 77.5 1 1
127.0 102.0 77.0 5 2
126.5 101.5 76.5
126.0 101.0 1 76.0 1
125.5 100.5 1 75.5 2 1
American Mathematics Competitions
2006 AMC 10 B Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 25.0
74.5 4 49.5 1 24.5
74.0 1 49.0 1 1 24.0 1
73.5 2 1 48.5 23.5
73.0 2 48.0 23.0
72.5 2 3 47.5 22.5
72.0 4 1 47.0 1 22.0
71.5 2 46.5 21.5
71.0 46.0 1 21.0
70.5 1 1 45.5 20.5
70.0 1 2 45.0 20.0
69.5 1 44.5 19.5
69.0 44.0 19.0
68.5 4 43.5 1 1 18.5
68.0 1 2 43.0 18.0
67.5 3 1 42.5 1 17.5
67.0 1 42.0 17.0
66.5 41.5 16.5
66.0 1 1 41.0 16.0
65.5 1 40.5 1 15.5
65.0 1 40.0 15.0
64.5 1 1 39.5 1 1 14.5
64.0 1 39.0 14.0
63.5 2 4 38.5 13.5
63.0 1 1 38.0 13.0
62.5 3 2 37.5 12.5
62.0 2 37.0 1 12.0
61.5 1 36.5 11.5
61.0 36.0 1 11.0
60.5 2 35.5 10.5
60.0 2 35.0 10.0
59.5 1 34.5 1 9.5
59.0 2 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 3 32.5 7.5
57.0 2 32.0 7.0
56.5 2 1 31.5 6.5
56.0 2 31.0 6.0
55.5 3 3 30.5 5.5
55.0 30.0 1 5.0
54.5 1 29.5 1 4.5
54.0 2 29.0 4.0
53.5 28.5 3.5
53.0 1 28.0 3.0
52.5 1 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
133.5 1
119.5 1
117.0 1
111.0 1
101.0 1
100.5 1
99.5 1
98.0 1
97.0 1 1
96.0 1 1 1
95.0 1
94.5 1 1
94.0 1
92.0 1
91.0 1
90.0 1
89.0 1
88.5 1
88.0 1 1
87.5 1
87.0 1
86.5 2
86.0 1
85.5 2
85.0 1 1
84.0 2 1
83.0 1 1 1
82.0 1 1
81.5 2 1 4
81.0 1 1
79.5 2 1 1
79.0 1
78.5 1
78.0 1 1 2
77.5 1 1
77.0 1 3 3
76.0 1
75.5 1 2
75.0 2
74.5 3 1
74.0 1
73.5 3
73.0 2
72.5 1 3 1
72.0 4 1
71.5 1 1
71.0 1 1
70.5 1 1
70.0 1 2 1
69.5 2
68.5 1 3
68.0 1 2
67.5 1 1 2
67.0 1
66.0 2 1
65.5 1
65.0 1
64.5 1 1
64.0 1
63.5 1 1 3 1 1
63.0 2
62.5 1 2 2
62.0 1 1
61.5 1 1
60.5 1 1
60.0 1 1
59.5 1
59.0 1 1 1
58.5 1
58.0 1
57.5 1 2 1 1
57.0 1 1
56.5 2 1
56.0 2 1
55.5 2 3 1
54.5 1
54.0 1 2 2
53.0 1
52.5 2
52.0 1
51.5 1
50.5 1
49.5 1
49.0 1 1
48.0 1
47.0 1
46.0 1
43.5 2
42.5 1
40.5 1
39.5 1 1
37.0 1 1
36.0 1
34.5 1
30.0 1
29.5 1
24.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Utah
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.59 0.54 6.20* 1.76 0.54 0.39 0.00
2 4.88* 0.63 0.10 0.15 0.34 3.90 0.00
3 7.90* 0.10 0.00 1.37 0.34 0.29 0.00
4 1.90 0.93 0.34 3.12* 2.83 0.88 0.00
5 0.83 5.80* 1.46 0.29 0.10 1.51 0.00
6 0.34 0.44 2.88 3.66* 0.29 2.39 0.00
7 2.10* 1.37 1.41 1.07 0.73 3.32 0.00
8 1.56 0.68* 0.24 1.56 0.59 5.37 0.00
9 0.10 8.05* 0.29 0.20 0.54 0.83 0.00
10 1.76* 0.39 1.32 0.05 2.54 3.95 0.00
11 0.34 0.34 2.78* 0.24 0.34 5.95 0.00
12 0.10 0.49 0.05 0.59 4.73* 4.05 0.00
13 0.63 0.34 2.15 1.07 2.78* 3.02 0.00
14 0.20 0.15 0.10 0.54* 0.00 9.02 0.00
15 0.83 0.29 1.46* 0.20 0.29 6.93 0.00
16 1.37 0.44 1.71 0.68 2.39* 3.41 0.00
17 2.24 1.37 1.07 2.63* 0.00 2.68 0.00
18 0.39 0.24 0.73 0.44 0.44* 7.76 0.00
19 0.29* 0.34 0.20 0.10 0.24 8.83 0.00
20 0.39 0.34 0.10 0.63 0.88* 7.66 0.00
21 0.24 0.20 0.63* 2.05 0.68 6.20 0.00
22 0.10 0.59 1.61 0.73* 0.05 6.93 0.00
23 0.10 0.54 0.20 0.10* 0.20 8.88 0.00
24 0.24 0.54* 0.49 0.05 0.15 8.54 0.00
25 0.05 1.41* 0.10 1.27 0.15 7.02 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 B Results for 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 1
149.0 124.0 99.0
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 4 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 12 3
144.5 119.5 1 94.5 3
144.0 119.0 94.0 1 2
143.5 118.5 93.5 3
143.0 118.0 1 93.0
142.5 117.5 92.5 9 3
142.0 117.0 92.0 1
141.5 116.5 91.5 3
141.0 116.0 1 91.0 2
140.5 115.5 90.5 2 2
140.0 115.0 1 90.0 3 5
139.5 114.5 2 89.5
139.0 114.0 89.0 12 4
138.5 113.5 2 88.5 1
138.0 113.0 88.0 3 4
137.5 112.5 1 1 87.5 2
137.0 112.0 87.0 3 1
136.5 111.5 5 1 86.5 3 4
136.0 111.0 86.0
135.5 110.5 85.5 2
135.0 110.0 2 1 85.0 1
134.5 109.5 84.5 5 6
134.0 109.0 3 84.0 2 3
133.5 108.5 83.5 1 2
133.0 108.0 5 83.0 9 1
132.5 1 107.5 1 82.5 1
132.0 107.0 82.0 1 3
131.5 106.5 3 1 81.5 4
131.0 106.0 81.0 3 4
130.5 105.5 3 1 80.5 10 4
130.0 105.0 80.0 1 1
129.5 104.5 4 2 79.5 4
129.0 104.0 1 79.0 2
128.5 103.5 78.5 2 8
128.0 103.0 3 78.0 4 3
127.5 102.5 77.5 4 2
127.0 102.0 6 1 77.0 6 4
126.5 101.5 76.5 1
126.0 101.0 2 76.0 3 4
125.5 100.5 75.5 3 1
American Mathematics Competitions
2006 AMC 12 B Results for Utah
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 25.0
74.5 4 3 49.5 1 24.5
74.0 1 1 49.0 24.0
73.5 1 48.5 23.5
73.0 48.0 23.0
72.5 2 4 47.5 22.5
72.0 47.0 22.0
71.5 2 3 46.5 1 21.5
71.0 2 1 46.0 21.0
70.5 3 45.5 20.5
70.0 3 3 45.0 20.0
69.5 2 44.5 19.5
69.0 1 5 44.0 19.0
68.5 3 43.5 1 18.5
68.0 1 3 43.0 1 18.0
67.5 1 1 42.5 17.5
67.0 2 42.0 1 17.0
66.5 1 3 41.5 16.5
66.0 3 41.0 16.0
65.5 1 3 40.5 15.5
65.0 2 1 40.0 15.0
64.5 1 39.5 14.5
64.0 1 39.0 14.0
63.5 38.5 13.5
63.0 2 3 38.0 1 13.0
62.5 3 1 37.5 12.5
62.0 1 3 37.0 12.0
61.5 5 36.5 11.5
61.0 2 36.0 11.0
60.5 3 35.5 10.5
60.0 2 1 35.0 10.0
59.5 1 3 34.5 9.5
59.0 1 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 1 2 32.5 7.5
57.0 1 2 32.0 7.0
56.5 1 1 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 1 5.5
55.0 1 30.0 5.0
54.5 2 29.5 4.5
54.0 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Utah
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
132.5 1
121.5 1
119.5 1
118.0 1
117.0 1
116.0 1
115.0 1 1
114.5 2 1
113.5 2
112.5 1 1
111.5 1 3 2
110.0 1 1 1
109.0 1 2 1
108.0 1 1 3 1
107.5 1 1
106.5 1 1 2
105.5 2 3
104.5 2 1 4
104.0 1
103.0 1 2
102.0 1 1 1 4 1
101.0 1 1
100.5 1
99.5 2 1 2
98.5 3 2 2 4
98.0 2
97.5 1
97.0 2 3
96.0 5 1 1
95.0 1 9 5 3
94.5 1 2 1
94.0 1 1 1
93.5 1 2
92.5 3 6 3 1
92.0 1
91.5 1 1 1
91.0 2
90.5 1 3
90.0 2 3 3
89.0 6 9 2 2
88.5 1
88.0 1 5 1 1
87.5 1 1
87.0 3 1
86.5 2 4 1 2
85.5 1 1 2
85.0 1
84.5 1 4 4 2
84.0 3 2
83.5 2 1
83.0 2 4 4 4
82.5 1
82.0 3 1
81.5 1 1 2
81.0 1 1 5
80.5 3 8 3 1
80.0 1 1
79.5 1 2 1
79.0 1 1
78.5 6 3 1
78.0 2 3 2
77.5 1 2 3
77.0 7 4 1 3
76.5 1
76.0 6 1
75.5 1 3
75.0 4 1 1
74.5 7 1
74.0 1 1
73.5 1
72.5 1 4 1 1 1
72.0 1
71.5 2 2 1
71.0 1 2 1
70.5 1 1 1
70.0 5 1
69.5 1 1 2
69.0 1 2 3
68.5 1 2 1
68.0 3 1
67.5 2 1
67.0 1 1
66.5 4
66.0 3
65.5 2 2
65.0 1 3
64.5 1
64.0 1
63.0 4 1
62.5 2 2
62.0 2 1 1
61.5 1 4 1
61.0 1 1
60.5 2 1
60.0 2 1
59.5 4
59.0 1
58.0 1
57.5 2 1
57.0 2 1
56.5 2
56.0 1
55.0 1
54.5 1 1
53.5 2
53.0 1
50.5 1
49.5 1
46.5 1
45.5 1
43.5 1
43.0 1
42.0 1
38.0 1
30.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Utah
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.49 0.41 7.31* 1.11 0.21 0.47 0.00
2 6.28* 0.53 0.06 0.15 0.13 2.84 0.00
3 8.33* 0.19 0.04 1.05 0.24 0.15 0.00
4 9.15* 0.30 0.11 0.17 0.04 0.24 0.00
5 7.16* 0.71 0.28 0.15 0.15 1.56 0.00
6 0.19 8.18* 0.11 0.04 0.62 0.85 0.00
7 0.47 8.06* 0.34 0.41 0.04 0.68 0.00
8 0.26 0.15 0.19 0.19 5.96* 3.25 0.00
9 0.36 3.85* 0.26 0.60 0.38 4.55 0.00
10 2.50* 0.32 0.94 0.00 2.16 4.08 0.00
11 0.79 0.04 1.13 0.75 3.89* 3.40 0.00
12 0.53 0.24 0.21 0.94* 0.28 7.80 0.00
13 0.41 0.34 2.01* 0.06 0.36 6.82 0.00
14 0.11 0.34 2.24 1.43* 0.04 5.83 0.00
15 0.17 1.52* 0.77 0.17 0.11 7.26 0.00
16 0.06 0.17 0.85* 0.09 0.09 8.74 0.00
17 0.26 0.17 1.22* 1.75 0.28 6.32 0.00
18 0.34 0.96* 1.18 0.13 0.24 7.16 0.00
19 0.04 1.54* 0.17 1.03 0.24 6.99 0.00
20 0.06 0.21 0.09* 0.13 0.30 9.21 0.00
21 0.06 0.06 0.00* 0.04 0.02 9.81 0.00
22 0.04 0.17* 0.11 0.06 0.02 9.59 0.00
23 0.11 0.11 0.17 0.09 0.04* 9.49 0.00
24 0.11 0.00 0.09* 0.09 0.06 9.66 0.00
25 0.00 0.26* 0.09 0.26 0.02 9.38 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
