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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 658
Number of unofficial participants: 0
Average score of participants: 70.7
Average score for female students is: 68.9 ( 320 Students)
Average score for male students is: 72.4 ( 309 Students)
Average score for unspecified gender is 72.1 ( 29 Students)
Average score for grade 10 is: 71.7 ( 373 Students)
Average score for grade 9 is: 69.3 ( 270 Students)
Average score for grade 8 and below is: 66.0 ( 7 Students)
Average score with unknown grade: 74.3 ( 8 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 21
Average school winning score 94.43
American Mathematics Competitions
2006 AMC 12 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 792
Number of unofficial participants: 0
Average score of participants: 77.4
Average score for female students is: 75.7 ( 382 Students)
Average score for male students is: 79.4 ( 387 Students)
Average score for unspecified gender is 74.8 ( 23 Students)
Average score for grade 13 is: 67.5 ( 1 Student)
Average score for grade 12 is: 79.1 ( 320 Students)
Average score for grade 11 is: 76.0 ( 376 Students)
Average score for grade 10 is: 79.4 ( 72 Students)
Average score for grade 9 is: 69.2 ( 15 Students)
Average score for grade 8 and below is: 115.0 ( 1 Student)
Average score with unknown grade: 76.1 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 37
Number of schools returning results 24
Average school winning score 103.04
Average school team score 293.15
American Mathematics Competitions
2006 AMC 10 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 104
Number of unofficial participants: 0
Average score of participants: 62.1
Average score for female students is: 57.8 ( 52 Students)
Average score for male students is: 67.0 ( 46 Students)
Average score for unspecified gender is 61.4 ( 6 Students)
Average score for grade 10 is: 66.1 ( 55 Students)
Average score for grade 9 is: 58.1 ( 43 Students)
Average score for grade 8 and below is: 50.1 ( 4 Students)
Average score with unknown grade: 62.0 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 4
Average school winning score 105.88
American Mathematics Competitions
2006 AMC 12 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 272
Number of unofficial participants: 0
Average score of participants: 76.9
Average score for female students is: 75.3 ( 122 Students)
Average score for male students is: 78.6 ( 141 Students)
Average score for unspecified gender is 71.8 ( 9 Students)
Average score for grade 12 is: 78.9 ( 117 Students)
Average score for grade 11 is: 75.4 ( 121 Students)
Average score for grade 10 is: 75.5 ( 23 Students)
Average score for grade 9 is: 77.3 ( 9 Students)
Average score with unknown grade: 62.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 15
Number of schools returning results 6
Average school winning score 100.25
Average school team score 291.83
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
337.0 1 1
334.0 1 2
332.0 1 3
329.0 1 4
328.0 1 5
308.0 1 6
306.5 1 1 7
305.5 1 9
304.0 1 10
303.5 1 11
302.0 1 12
298.0 1 13
296.5 1 14
294.0 1 15
290.5 1 16
289.5 1 17
286.5 1 18
285.5 1 19
279.5 1 20
278.0 1 21
277.0 1 22
273.0 1 23
272.5 1 24
268.0 2 25
266.0 1 27
263.0 1 28
260.5 1 29
244.5 1 30
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
121.5 1
119.5 1
118.5 1
116.0 2
115.0 1
114.0 1
112.5 1
111.5 1
111.0 1
110.0 1
109.0 1
108.0 2 1
106.5 2 1
106.0 1
105.5 2 1
104.5 1
104.0 3 1 1
103.0 5 1 1
102.5 1
102.0 7 3
101.5 1 1 1
101.0 3 3
100.5 4 1 3
99.5 4 1 2
99.0 2
98.5 5 2 2
98.0 2 1 1 1
97.5 1 2 2
97.0 9 2 1
96.0 8 3 5
95.5 1
95.0 5 3
94.5 12 1 2
94.0 1 3 6
93.5 15 2 5
93.0 1
92.5 8 1 7 1
92.0 4 1
91.5 2 2 4
91.0 7 3 6 1
90.5 1 5 4
90.0 18 2 1
89.5 4 1 1
89.0 18 12 5
88.5 6 3
88.0 10 5 3
87.5 12 2 8 1
87.0 7
86.5 15 4 7
86.0 5 7
85.5 5 8 7
85.0 17 2 3
84.5 5 6 5
84.0 18 10 8
83.5 3 3 1
83.0 19 6 10 1
82.5 5 1 6 1
82.0 9 10 9 2
81.5 18 2 11
81.0 9 3 5 1
80.5 23 4 7
80.0 6 6
79.5 20 1 9 1
79.0 6 1 8 2
78.5 13 5 9 1
78.0 14 5 6 1
77.5 4 1 12
77.0 15 6 12
76.5 6 1 5 2
76.0 8 8 10
75.5 10 3 9 2
75.0 10 1 6 1
74.5 20 8 8
74.0 9 1 7
73.5 16 2 16 1
73.0 6 10
72.5 7 10 12 3
72.0 19 11 15 1
71.5 7 4 8 1
71.0 14 4 7 1
70.5 11 1 6 3
70.0 12 6 8 2
69.5 12 2 6 2
69.0 5 3 5 3
68.5 8 11
68.0 4 1 7 2
67.5 7 4 7 1
67.0 7 6
66.5 4 4 10
66.0 10 4 14 2
65.5 8 1 7
65.0 17 5 4
64.5 13 1 3
64.0 13 2 6
63.5 4 3 12 1
63.0 5 9 2
62.5 3 3 11 2
62.0 6 1 5 2
61.5 8 11 2
61.0 7 2 7 2
60.5 2 2 9
60.0 2 4 6 2
59.5 3 1 5
59.0 4 3 5
58.5 3 10 1
58.0 2 3
57.5 4 1 4 1
57.0 3 4 3
56.5 1 4 1
56.0 4 1 6 1
55.5 3 2 2 2
55.0 6 1
54.5 4 1 2 2
54.0 5 3 6 1
53.5 2 2 2
53.0 1 5
52.5 1 1 1
52.0 3 1 4
51.5 2 1 5 3
51.0 1 3 1
50.5 3 1 2 3
50.0 2 6 1
49.5 1 2 3 2
49.0 3
48.5 4
48.0 1 4 2
47.5 1 5
47.0 1 1
46.5 3 3
46.0 1
45.5 1
45.0 4
44.5 1
44.0 3
43.5 1 1
43.0 1 1
42.5 2 1 1
42.0 3 6 1
41.5 1
40.5 1 1 1 1
40.0 2
39.5 1
39.0 2 1
38.5 3 1
37.5 1 1
36.5 2
36.0 1 2 2
35.5 1 1
35.0 1
34.0 1
33.0 1 1
30.5 3
30.0 1 2
29.5 1 1
28.5 1
27.0 1
26.5 1
24.5 1
24.0 1
19.5 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Montana
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
148.5 123.5 98.5 1 1
148.0 123.0 98.0 1
147.5 122.5 97.5 1
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 3 2
145.5 120.5 95.5 1
145.0 120.0 95.0
144.5 119.5 94.5 1 1
144.0 119.0 94.0 3 3
143.5 118.5 93.5 3 2
143.0 118.0 93.0
142.5 117.5 92.5 4 3
142.0 117.0 92.0 1
141.5 116.5 91.5 4
141.0 116.0 91.0 1 5
140.5 115.5 90.5 2 2
140.0 115.0 90.0 2
139.5 114.5 89.5 1
139.0 114.0 89.0 3 2
138.5 113.5 88.5 1 2
138.0 113.0 88.0 1 1
137.5 112.5 87.5 5 2
137.0 112.0 87.0 6
136.5 111.5 86.5 4 3
136.0 111.0 86.0 5 2
135.5 110.5 85.5 4 3
135.0 110.0 85.0 3
134.5 109.5 84.5 4 1
134.0 109.0 84.0 4 4
133.5 108.5 83.5 3
133.0 108.0 83.0 5 4
132.5 107.5 82.5 4 2
132.0 107.0 82.0 6 3
131.5 106.5 81.5 3 6
131.0 106.0 1 81.0 2 3
130.5 105.5 80.5 2 4
130.0 105.0 80.0 4 1
129.5 104.5 1 79.5 4 5
129.0 104.0 1 79.0 7 1
128.5 103.5 78.5 5 4
128.0 103.0 1 78.0 3 2
127.5 102.5 1 77.5 7 4
127.0 102.0 77.0 4 8
126.5 101.5 1 76.5 2 3
126.0 101.0 76.0 5 5
125.5 100.5 1 2 75.5 3 5
American Mathematics Competitions
2006 AMC 10 A Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 4 50.0 5 1 25.0
74.5 3 5 49.5 1 2 24.5 1
74.0 5 2 49.0 1 2 24.0 1
73.5 5 9 48.5 4 23.5
73.0 5 5 48.0 2 2 23.0
72.5 5 6 47.5 1 3 22.5
72.0 6 9 47.0 1 22.0
71.5 4 3 46.5 1 2 21.5
71.0 2 5 46.0 21.0
70.5 2 4 45.5 1 20.5
70.0 4 4 45.0 2 2 20.0
69.5 3 3 44.5 19.5
69.0 3 44.0 1 2 19.0
68.5 6 5 43.5 1 18.5
68.0 2 4 43.0 1 18.0
67.5 4 2 42.5 17.5
67.0 1 5 42.0 5 1 17.0
66.5 5 5 41.5 16.5
66.0 10 4 41.0 16.0
65.5 2 5 40.5 1 15.5
65.0 3 1 40.0 1 1 15.0
64.5 1 39.5 1 14.5
64.0 3 3 39.0 1 14.0
63.5 8 4 38.5 1 13.5
63.0 5 4 38.0 13.0
62.5 5 6 37.5 1 12.5
62.0 1 4 37.0 12.0
61.5 4 6 36.5 1 11.5
61.0 2 4 36.0 1 1 11.0
60.5 4 4 35.5 10.5
60.0 1 5 35.0 1 10.0
59.5 1 4 34.5 9.5
59.0 3 2 34.0 9.0
58.5 3 7 33.5 8.5
58.0 1 1 33.0 1 8.0
57.5 1 3 32.5 7.5
57.0 3 1 32.0 7.0
56.5 1 3 31.5 6.5
56.0 2 4 31.0 6.0
55.5 2 30.5 5.5
55.0 1 30.0 1 1 5.0
54.5 1 1 29.5 1 4.5
54.0 3 3 29.0 4.0
53.5 1 1 28.5 3.5
53.0 1 4 28.0 3.0
52.5 1 27.5 2.5
52.0 1 3 27.0 2.0
51.5 1 4 26.5 1 1.5
51.0 2 1 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Montana
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
106.0 1
104.5 1
104.0 1
103.0 1
102.5 1
101.5 1
100.5 1 2
99.5 2
98.5 1 1
98.0 1
97.5 1 1
97.0 1
96.0 1 4
95.5 1
94.5 2
94.0 6
93.5 4 1
92.5 4 3
92.0 1
91.5 1 3
91.0 2 4
90.5 3 1
90.0 2
89.5 1
89.0 1 4
88.5 1 2
88.0 2 1
87.5 3 5
87.0 2 4 1
86.5 4 3
86.0 1 3 3
85.5 2 5
85.0 2 1
84.5 3 2
84.0 3 5
83.5 1 2
83.0 4 6
82.5 4 2
82.0 4 5
81.5 4 6 1
81.0 1 4
80.5 5 2
80.0 1 4 1
79.5 6 3
79.0 2 6
78.5 4 5
78.0 1 5
77.5 6 6
77.0 3 9
76.5 2 3
76.0 5 5
75.5 1 7 1
75.0 6
74.5 2 6
74.0 1 4 2
73.5 3 13
73.0 2 8
72.5 1 6 5
72.0 8 7
71.5 3 4 1
71.0 2 5
70.5 2 4
70.0 5 3
69.5 3 3
69.0 3 2
68.5 7 4
68.0 2 5
67.5 2 5
67.0 1 5
66.5 7 3
66.0 4 10
65.5 4 3
65.0 3 1
64.5 2 1
64.0 3 3
63.5 5 7
63.0 3 6
62.5 1 4 6
62.0 2 3
61.5 4 7
61.0 3 4
60.5 3 5 1
60.0 1 3 2
59.5 3 2
59.0 2 3
58.5 5 5
58.0 1 2
57.5 1 3
57.0 1 3
56.5 2 2
56.0 1 1 4
55.5 2
55.0 1
54.5 1 1
54.0 2 4
53.5 1 1
53.0 3 2
52.5 1
52.0 3 1
51.5 5
51.0 1 1 1
50.5 2
50.0 4 2
49.5 3
49.0 2 1
48.5 4
48.0 2 2
47.5 2 3
47.0 1
46.5 2 1
45.5 1
45.0 3 1
44.0 1 2
43.5 1
43.0 1
42.0 4 2
40.5 1
40.0 1 1
39.5 1
39.0 1
38.5 1
37.5 1
36.5 1 1
36.0 1 1
35.0 1
33.0 1
30.0 2
29.5 1
26.5 1
24.5 1
24.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Montana
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 9.85* 0.00 0.06 0.08 0.02 0.00 0.00
2 0.30 0.21 0.79* 0.21 2.98 5.50 0.00
3 0.12 7.77* 0.18 0.08 1.72 0.14 0.00
4 2.77 0.18 0.05 0.23 5.93* 0.85 0.00
5 0.27 1.52 1.35 6.17* 0.20 0.49 0.00
6 0.23 6.95* 0.49 0.15 0.06 2.13 0.00
7 7.33* 0.15 0.47 0.26 0.17 1.63 0.00
8 1.05 0.47 0.36 0.17 0.93* 7.02 0.00
9 2.26 1.55 4.32* 0.29 0.26 1.32 0.00
10 0.29 0.17 0.46 1.70 0.50* 6.88 0.00
11 1.53 1.43 0.90* 0.73 0.68 4.73 0.00
12 0.71 0.41 4.00* 1.29 0.50 3.09 0.00
13 0.46 1.43 0.32 3.25* 0.20 4.35 0.00
14 1.93 2.80* 0.11 1.31 0.97 2.89 0.00
15 0.85 0.40 0.49 1.05* 0.56 6.66 0.00
16 0.24 0.23 0.21 0.38* 0.53 8.40 0.00
17 0.96* 0.41 0.30 0.50 0.33 7.49 0.00
18 1.91 0.23 1.63* 0.52 0.09 5.62 0.00
19 0.58 0.91 0.46* 0.36 0.12 7.57 0.00
20 0.58 1.34 0.53 0.58 0.27* 6.70 0.00
21 0.78 0.71 0.43 0.53 0.97* 6.58 0.00
22 0.15 0.82 2.23* 4.15 1.06 1.58 0.00
23 0.68 0.44* 0.18 0.32 0.67 7.71 0.00
24 0.85 0.33* 0.29 0.18 0.33 8.01 0.00
25 1.67 0.82 0.29* 0.62 0.32 6.28 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 Montana
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 1
149.0 124.0 99.0 2
148.5 123.5 98.5 2 3
148.0 123.0 98.0 2
147.5 122.5 97.5 1
147.0 122.0 97.0 7 2
146.5 121.5 96.5
146.0 121.0 96.0 4 3
145.5 120.5 95.5
145.0 120.0 95.0 3 2
144.5 119.5 1 94.5 6 6
144.0 119.0 94.0 1
143.5 118.5 1 93.5 8 7
143.0 118.0 93.0 1
142.5 117.5 92.5 6 2
142.0 117.0 92.0 2 2
141.5 116.5 91.5 2
141.0 116.0 2 91.0 4 2
140.5 115.5 90.5 1
140.0 115.0 1 90.0 10 8
139.5 114.5 89.5 4
139.0 114.0 89.0 13 5
138.5 113.5 88.5 2 4
138.0 113.0 88.0 4 5
137.5 112.5 87.5 7 5
137.0 112.0 87.0
136.5 111.5 86.5 9 6
136.0 111.0 1 86.0 5
135.5 110.5 85.5 5
135.0 110.0 1 85.0 10 6
134.5 109.5 84.5 3 2
134.0 109.0 1 84.0 11 7
133.5 108.5 83.5 1 2
133.0 108.0 2 83.0 8 11
132.5 107.5 82.5 3 2
132.0 107.0 82.0 2 7
131.5 106.5 1 1 81.5 8 8
131.0 106.0 81.0 4 4
130.5 105.5 1 1 80.5 9 14
130.0 105.0 80.0 2 4
129.5 104.5 79.5 8 12
129.0 104.0 3 79.0 1 5
128.5 103.5 78.5 5 7
128.0 103.0 4 1 78.0 6 8
127.5 102.5 77.5 4
127.0 102.0 5 2 77.0 4 9
126.5 101.5 1 76.5 4 2
126.0 101.0 2 1 76.0 5 1
125.5 100.5 1 2 75.5 7 3
American Mathematics Competitions
2006 AMC 12 A Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 3 50.0 1 1 25.0
74.5 9 10 49.5 1 24.5
74.0 4 5 49.0 24.0
73.5 7 9 48.5 23.5
73.0 3 3 48.0 1 23.0
72.5 3 4 47.5 22.5
72.0 10 9 47.0 22.0
71.5 1 6 46.5 21.5
71.0 8 5 46.0 1 21.0
70.5 2 8 45.5 20.5
70.0 6 6 45.0 20.0
69.5 5 7 44.5 19.5
69.0 2 1 44.0 19.0
68.5 5 3 43.5 18.5
68.0 3 43.0 18.0
67.5 6 1 42.5 2 17.5
67.0 3 4 42.0 1 2 17.0
66.5 1 3 41.5 16.5
66.0 4 6 41.0 16.0
65.5 2 5 40.5 1 15.5
65.0 5 12 40.0 15.0
64.5 7 6 39.5 14.5
64.0 6 7 39.0 2 14.0
63.5 1 3 38.5 3 13.5
63.0 1 4 38.0 13.0
62.5 1 2 37.5 12.5
62.0 3 3 37.0 12.0
61.5 6 2 36.5 11.5
61.0 3 4 36.0 11.0
60.5 1 1 35.5 10.5
60.0 1 1 35.0 10.0
59.5 2 1 34.5 9.5
59.0 1 3 34.0 9.0
58.5 1 2 33.5 8.5
58.0 2 33.0 8.0
57.5 3 32.5 7.5
57.0 2 1 32.0 7.0
56.5 31.5 6.5
56.0 3 1 31.0 6.0
55.5 3 30.5 5.5
55.0 3 3 30.0 5.0
54.5 2 2 29.5 4.5
54.0 4 1 29.0 4.0
53.5 2 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 2 27.0 1 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Montana
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
119.5 1
118.5 1
116.0 2
115.0 1
111.0 1
110.0 1
109.0 1
108.0 2
106.5 1 1
105.5 1 1
104.0 1 2
103.0 1 2 2
102.0 5 2
101.5 1
101.0 1 2
100.5 1 1 2
99.5 2 2
99.0 2
98.5 1 4
98.0 1 1
97.5 1
97.0 1 1 7
96.0 2 4 2
95.0 3 2
94.5 7 5
94.0 1
93.5 2 6 7
93.0 1
92.5 2 6
92.0 2 2
91.5 1 1
91.0 3 3 1
90.5 1
90.0 5 6 6 1
89.5 2 2
89.0 1 5 12
88.5 2 2 2
88.0 3 3 3 1
87.5 2 7 3
86.5 4 5 6
86.0 1 4
85.5 1 3 1
85.0 1 9 7
84.5 3 2
84.0 2 11 5
83.5 3
83.0 1 5 13
82.5 3 2
82.0 1 2 6
81.5 3 8 7
81.0 2 2 4 1
80.5 1 10 12
80.0 3 3
79.5 8 11 1
79.0 1 3 2
78.5 8 5
78.0 1 8 5
77.5 1 3
77.0 3 6 6
76.5 1 1 1 3
76.0 1 4 3
75.5 1 3 6
75.0 8 2
74.5 14 6
74.0 2 5 2
73.5 2 10 4
73.0 1 4 1
72.5 1 5 1
72.0 8 11
71.5 3 4
71.0 1 9 4
70.5 2 5 4
70.0 1 5 6
69.5 2 6 4
69.0 1 3 1
68.5 1 6 1
68.0 1 2 1
67.5 1 2 3 1
67.0 4 3
66.5 3 1
66.0 1 1 5 3
65.5 5 3
65.0 1 2 12 2
64.5 8 5
64.0 2 6 5
63.5 1 2 1
63.0 4 1
62.5 2 1
62.0 3 3
61.5 1 2 5
61.0 1 5 1
60.5 1 1
60.0 1 1
59.5 1 2
59.0 1 1 2
58.5 1 2
58.0 1 1
57.5 1 3
57.0 1 2
56.0 3 1
55.5 1 2
55.0 1 4 1
54.5 3 1
54.0 3 2
53.5 1 1
53.0 1
52.5 1
52.0 1 1 1
51.5 2
50.5 2 1
50.0 1 1
49.5 1
48.0 1
46.0 1
42.5 1 1
42.0 1 2
40.5 1
39.0 1 1
38.5 1 2
35.5 1
27.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Montana
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 9.89* 0.01 0.03 0.08 0.00 0.00 0.00
2 1.10 0.25 2.11* 0.10 1.35 5.09 0.00
3 0.04 8.41* 0.04 0.01 1.44 0.06 0.00
4 1.88 0.19 0.06 0.05 7.30* 0.51 0.01
5 0.19 1.09 1.34 6.69* 0.23 0.47 0.00
6 7.29* 0.20 0.30 0.27 0.23 1.72 0.00
7 0.45 3.71* 1.10 0.59 0.35 3.78 0.01
8 1.50 1.38 5.74* 0.19 0.15 1.04 0.00
9 7.88* 0.20 0.09 0.06 0.21 1.55 0.00
10 0.32 0.13 0.72 2.60 1.00* 5.24 0.00
11 1.81 0.91 1.20* 1.24 0.62 4.23 0.00
12 1.74 4.72* 0.08 0.92 0.39 2.15 0.00
13 0.61 0.14 0.21 0.08 4.27* 4.70 0.00
14 0.05 0.57 3.70* 3.41 0.61 1.67 0.00
15 1.62* 1.88 0.45 0.37 1.77 3.91 0.00
16 0.43 1.79* 0.18 0.20 0.73 6.67 0.00
17 0.33 0.45* 0.38 0.23 0.06 8.55 0.00
18 1.19 0.10 0.34 0.66 0.45* 7.26 0.00
19 0.15 0.11 0.19 0.25 0.21* 9.08 0.00
20 1.99 0.61 0.27* 0.33 0.21 6.59 0.00
21 0.13 0.14 0.44 0.10 0.15* 9.04 0.00
22 0.10 0.09 0.19 0.16* 0.09 9.37 0.00
23 0.10 0.13* 0.21 0.03 0.18 9.36 0.00
24 1.38 0.19 0.19 0.14* 0.14 7.97 0.00
25 0.14 0.19 0.19 0.13 0.13* 9.23 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 10 B Results for Montana
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 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
146.5 121.5 1 96.5
146.0 121.0 96.0
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0
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 1 89.0
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0
133.5 108.5 83.5 1
133.0 108.0 83.0 1
132.5 107.5 82.5 1
132.0 107.0 82.0 1 1
131.5 106.5 81.5
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
129.0 104.0 79.0 1 1
128.5 103.5 78.5 1
128.0 103.0 78.0 1
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 76.5 1 1
126.0 101.0 76.0
125.5 100.5 75.5 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Montana
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 49.5 2 24.5
74.0 49.0 24.0
73.5 1 48.5 23.5
73.0 48.0 1 1 23.0
72.5 2 1 47.5 22.5
72.0 1 47.0 1 22.0
71.5 1 46.5 1 2 21.5
71.0 46.0 21.0
70.5 2 1 45.5 20.5
70.0 1 1 45.0 20.0
69.5 1 44.5 1 19.5 1
69.0 1 2 44.0 19.0
68.5 43.5 1 18.5
68.0 2 43.0 1 18.0
67.5 1 42.5 1 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 1 1 41.0 16.0
65.5 40.5 1 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 1 1 37.5 12.5
62.0 1 37.0 12.0
61.5 2 36.5 11.5
61.0 1 36.0 2 11.0
60.5 35.5 10.5
60.0 2 35.0 10.0
59.5 34.5 9.5
59.0 34.0 1 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 1 2 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 6.0
55.5 1 1 30.5 3 5.5
55.0 30.0 5.0
54.5 1 1 29.5 1 4.5
54.0 1 29.0 4.0
53.5 1 1 28.5 1 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 2 1 26.5 1.5
51.0 1 26.0 1.0
50.5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Montana
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
121.5 1
114.0 1
98.0 1
92.5 1
91.0 1
90.0 1
87.5 1
83.5 1
83.0 1
82.5 1
82.0 1 1
81.0 1
79.5 1
79.0 1 1
78.5 1
78.0 1
76.5 2
75.5 2
75.0 1
73.5 1
72.5 2 1
72.0 1
71.5 1
71.0 1
70.5 1 2
70.0 2
69.5 1 1
69.0 2 1
68.0 2
67.5 1
66.0 2
63.5 1
63.0 1 1
62.5 2
62.0 2
61.5 2
61.0 1 1
60.0 2
58.5 1
57.5 1
57.0 1 2
56.5 1
56.0 1
55.5 1 1
54.5 2
54.0 1
53.5 1 1
52.5 1
51.5 3
51.0 1
50.5 2 1
50.0 1
49.5 2
48.0 1 1
47.0 1
46.5 1 1 1
44.5 1
43.5 1
43.0 1
42.5 1
42.0 1
40.5 1
36.0 1 1
34.0 1
30.5 2 1
29.5 1
28.5 1
19.5 1
American Mathematics Competitions
2006 AMC 10 B Results for Montana
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 0.38 0.77 5.67* 1.92 0.29 0.96 0.00
2 3.56* 0.29 0.00 0.19 0.48 5.48 0.00
3 7.79* 0.29 0.00 1.15 0.67 0.10 0.00
4 2.40 2.60 0.58 1.54* 1.54 1.35 0.00
5 0.67 4.71* 2.69 0.38 0.00 1.54 0.00
6 0.67 0.19 4.62 2.02* 0.19 2.31 0.00
7 1.83* 1.83 1.54 1.06 1.44 2.31 0.00
8 0.87 0.38* 0.10 2.21 0.67 5.77 0.00
9 0.19 7.79* 0.10 0.10 1.15 0.67 0.00
10 1.73* 0.67 1.44 0.19 2.40 3.56 0.00
11 0.38 0.96 1.25* 0.58 0.38 6.44 0.00
12 0.38 0.29 0.29 0.19 3.94* 4.90 0.00
13 1.06 0.19 2.12 0.77 2.60* 3.27 0.00
14 0.29 0.38 0.29 0.29* 0.10 8.65 0.00
15 1.25 0.10 1.44* 0.38 0.58 6.25 0.00
16 1.73 0.29 2.50 1.15 1.35* 2.98 0.00
17 3.75 1.15 1.54 1.92* 0.00 1.63 0.00
18 0.67 0.19 1.35 0.77 0.19* 6.83 0.00
19 0.19* 0.48 0.38 0.19 0.38 8.37 0.00
20 0.00 0.38 0.48 0.58 0.96* 7.60 0.00
21 0.58 0.48 0.87* 2.21 0.58 5.29 0.00
22 0.29 0.67 1.35 0.87* 0.10 6.73 0.00
23 0.29 1.35 0.48 0.48* 0.58 6.83 0.00
24 0.29 1.15* 0.96 0.10 0.29 7.21 0.00
25 0.19 2.31* 0.19 1.63 0.77 4.90 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 Montana
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 1 1
148.0 123.0 98.0 1
147.5 122.5 97.5 2
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 2 1
145.5 120.5 95.5
145.0 120.0 95.0 2 1
144.5 119.5 94.5 1
144.0 119.0 94.0 2 1
143.5 118.5 93.5 1 1
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5 1 1
141.0 116.0 91.0 3
140.5 115.5 90.5 2 2
140.0 115.0 90.0
139.5 114.5 89.5 1
139.0 114.0 89.0 6 6
138.5 113.5 88.5
138.0 113.0 88.0 3 2
137.5 112.5 1 87.5 2
137.0 112.0 87.0
136.5 111.5 1 86.5 2 2
136.0 111.0 86.0
135.5 110.5 85.5 4 4
135.0 110.0 85.0 2
134.5 109.5 84.5 2 4
134.0 109.0 84.0 3 7
133.5 108.5 83.5
133.0 108.0 1 83.0 3 3
132.5 107.5 82.5 1
132.0 107.0 82.0 5 4
131.5 106.5 1 81.5 1
131.0 106.0 81.0 1 2
130.5 105.5 1 80.5 3 1
130.0 105.0 80.0
129.5 104.5 79.5 1
129.0 104.0 1 79.0 1
128.5 103.5 78.5 3 2
128.0 103.0 1 78.0 3 2
127.5 102.5 77.5 1
127.0 102.0 3 77.0 4 2
126.5 101.5 1 76.5 1
126.0 101.0 2 1 76.0 3 5
125.5 100.5 1 75.5 3
American Mathematics Competitions
2006 AMC 12 B Results for Montana
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 5 3 49.5 1 1 24.5
74.0 1 49.0 24.0
73.5 1 1 48.5 23.5
73.0 48.0 23.0
72.5 6 3 47.5 1 22.5
72.0 3 8 47.0 22.0
71.5 2 2 46.5 21.5
71.0 3 46.0 21.0
70.5 1 45.5 20.5
70.0 3 3 45.0 20.0
69.5 1 1 44.5 19.5
69.0 3 44.0 19.0
68.5 43.5 18.5
68.0 1 43.0 18.0 1
67.5 2 2 42.5 17.5
67.0 42.0 17.0
66.5 3 1 41.5 1 16.5
66.0 3 1 41.0 16.0
65.5 1 40.5 1 15.5
65.0 3 2 40.0 15.0
64.5 1 39.5 14.5
64.0 2 39.0 14.0
63.5 1 2 38.5 13.5
63.0 38.0 13.0
62.5 3 37.5 1 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 1 1 36.0 1 11.0
60.5 2 35.5 1 10.5
60.0 3 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 2 34.0 9.0
58.5 33.5 8.5
58.0 33.0 1 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 5.0
54.5 1 29.5 4.5
54.0 1 1 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 1 27.0 2.0
51.5 1 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 12 B Results for Montana
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
112.5 1
111.5 1
108.0 1
106.5 1
105.5 1
104.0 1
103.0 1
102.0 3
101.5 1
101.0 2 1
100.5 1
99.5 1
98.5 1 1
98.0 1
97.5 1 1
97.0 2
96.0 1 2
95.0 1 1 1
94.5 1
94.0 1 2
93.5 1 1
92.5 1
91.5 1 1
91.0 1 2
90.5 3 2
89.5 1
89.0 1 7 4
88.0 2 1 2
87.5 1 1
86.5 3 1
85.5 1 2 5
85.0 1 1
84.5 5 1
84.0 1 2 7
83.0 3 3
82.5 1
82.0 1 5 3 1
81.5 2
81.0 2 1
80.5 1 3
79.5 1
79.0 1
78.5 3 1 1
78.0 1 1 3
77.5 1
77.0 1 1 4
76.5 1
76.0 1 5 2
75.5 1 2
75.0 1
74.5 1 4 3
74.0 1
73.5 1 1
72.5 2 1 2 5
72.0 1 1 4 5
71.5 1 1 2
71.0 1 1 2
70.5 1
70.0 1 1 3 1
69.5 1 1
69.0 1 2
68.0 1
67.5 2 2
66.5 2 2
66.0 2 2
65.5 1
65.0 3 2
64.5 1
64.0 1 1
63.5 2 1
62.5 1 2
62.0 1
61.0 1 1
60.5 1 1
60.0 1 3
59.5 1
59.0 2 1
57.5 1
56.5 1
56.0 1
55.5 1 1
54.5 1
54.0 2 1
52.0 1
51.5 1
51.0 1
50.5 1
49.5 2
47.5 1
42.5 1
41.5 1
40.5 1
37.5 1
36.0 1
35.5 1
33.0 1
30.0 1
18.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Montana
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 0.66 0.55 6.76* 1.14 0.55 0.33 0.00
2 5.51* 0.40 0.07 0.22 0.48 3.31 0.00
3 8.49* 0.11 0.04 1.10 0.22 0.04 0.00
4 8.86* 0.44 0.26 0.37 0.00 0.07 0.00
5 5.88* 1.43 0.37 0.33 0.26 1.73 0.00
6 0.11 8.42* 0.18 0.07 0.48 0.74 0.00
7 0.70 7.98* 0.51 0.26 0.04 0.51 0.00
8 0.22 0.51 0.22 0.44 5.59* 2.98 0.04
9 0.63 3.24* 0.33 0.88 0.63 4.30 0.00
10 1.99* 0.33 1.69 0.15 2.79 3.05 0.00
11 1.65 0.11 1.03 0.66 4.04* 2.50 0.00
12 0.85 0.59 0.29 0.59* 0.88 6.80 0.00
13 0.59 0.33 1.99* 0.18 0.44 6.47 0.00
14 0.22 0.59 2.83 0.66* 0.11 5.59 0.00
15 0.33 0.77* 1.29 0.44 0.18 6.99 0.00
16 0.15 0.26 0.81* 0.33 0.18 8.27 0.00
17 0.55 0.37 0.63* 2.10 0.37 5.99 0.00
18 0.63 0.51* 0.99 0.51 0.18 7.17 0.00
19 0.22 1.76* 0.33 1.36 0.40 5.92 0.00
20 0.55 0.26 0.29* 0.15 0.48 8.27 0.00
21 0.29 0.33 0.22* 0.00 0.26 8.90 0.00
22 0.22 0.40* 0.33 0.18 0.07 8.79 0.00
23 0.18 0.26 0.55 0.44 0.15* 8.42 0.00
24 0.18 0.22 0.29* 0.26 0.11 8.93 0.00
25 0.18 0.33* 0.37 0.33 0.15 8.64 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
