American Mathematics Competitions
2007 AMC 10 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 576
Number of unofficial participants: 0
Average score of participants: 68.4
Average score for female students is: 62.1 ( 215 Students)
Average score for male students is: 72.0 ( 331 Students)
Average score for unspecified gender is 73.3 ( 30 Students)
Average score for grade 10 is: 69.4 ( 277 Students)
Average score for grade 9 is: 65.3 ( 246 Students)
Average score for grade 8 and below is: 82.1 ( 41 Students)
Average score with unknown grade: 62.0 ( 12 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 14
Number of schools returning results 30
Average school winning score 97.75
American Mathematics Competitions
2007 AMC 12 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 938
Number of unofficial participants: 0
Average score of participants: 62.0
Average score for female students is: 57.3 ( 398 Students)
Average score for male students is: 65.4 ( 509 Students)
Average score for unspecified gender is 67.1 ( 31 Students)
Average score for grade 12 is: 63.7 ( 320 Students)
Average score for grade 11 is: 60.9 ( 511 Students)
Average score for grade 10 is: 64.2 ( 78 Students)
Average score for grade 9 is: 60.5 ( 20 Students)
Average score for grade 8 and below is: 74.3 ( 2 Students)
Average score with unknown grade: 49.5 ( 7 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 43
Number of schools returning results 35
Average school winning score 92.19
Average school team score 231.51
American Mathematics Competitions
2007 AMC 10 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 160
Number of unofficial participants: 18
Average score of participants: 61.1
Average score for female students is: 55.7 ( 49 Students)
Average score for male students is: 63.7 ( 96 Students)
Average score for unspecified gender is 62.2 ( 15 Students)
Average score for grade 10 is: 68.0 ( 46 Students)
Average score for grade 9 is: 54.0 ( 94 Students)
Average score for grade 8 and below is: 87.2 ( 15 Students)
Average score with unknown grade: 54.9 ( 5 Students)
AIME qualifying score = 115.5 or better
Number of AIME qualifers 4
Number of schools returning results 11
Average school winning score 102.55
American Mathematics Competitions
2007 AMC 12 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 133
Number of unofficial participants: 9
Average score of participants: 73.5
Average score for female students is: 63.8 ( 50 Students)
Average score for male students is: 79.6 ( 80 Students)
Average score for unspecified gender is 74.5 ( 3 Students)
Average score for grade 12 is: 74.2 ( 31 Students)
Average score for grade 11 is: 68.2 ( 74 Students)
Average score for grade 10 is: 83.7 ( 10 Students)
Average score for grade 9 is: 79.9 ( 7 Students)
Average score for grade 8 and below is: 94.1 ( 11 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 23
Number of schools returning results 15
Average school winning score 101.40
Average school team score 231.50
2007 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
405.0 1 1
346.5 1 2
336.0 1 3
328.5 1 4
325.5 1 5
324.0 1 6
318.0 1 7
313.5 1 8
312.0 1 9
307.5 1 10
306.0 1 11
304.5 1 12
301.5 1 13
295.5 1 14
292.5 2 15
286.5 1 17
270.0 1 1 18
268.5 1 20
267.0 1 21
252.0 1 22
246.0 2 1 23
244.5 1 26
241.5 1 27
231.0 1 28
229.5 2 29
225.0 1 31
219.0 1 1 32
207.0 1 34
196.5 1 35
190.5 2 36
189.0 1 38
181.5 1 39
165.0 1 40
145.5 1 41
121.5 1 42
114.0 1 43
109.5 1 44
99.0 1 45
94.5 1 46
88.5 1 47
84.0 1 48
66.0 1 49
2007 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
145.5 1
144.0 1 1
139.5 1 1
138.0 1 1
135.0 1 1
132.0 2
130.5 2
127.5 1 1
126.0 1 1
124.5 1
123.0 2
121.5 1 1
120.0 1 1 4
117.0 2 2 1
115.5 1 2
114.0 1 2
112.5 2 1 1
111.0 2 1
109.5 2 2 2
108.0 3 1 2 2
106.5 2 1 1 1
105.0 5 1 2
103.5 5 1 3 2
102.0 6 2 2
100.5 3 2 2 1
99.0 2 2 8 1
97.5 5 1 2
96.0 3 1 2 1
94.5 6 4 6 1
93.0 6 1 5
91.5 9 3 8 1
90.0 7 1 11
88.5 13 3 9 1
87.0 9 11 2
85.5 11 18 2
84.0 14 6 6 1
82.5 16 1 12 4
81.0 11 1 10 1
79.5 18 2 16 3
78.0 18 1 18 4
76.5 29 4 13 1
75.0 11 4 12 1
73.5 14 19 1
72.0 33 2 17 7
70.5 30 3 10 2
69.0 25 2 26 3
67.5 22 17 5
66.0 38 2 20 8
64.5 29 5 25 2
63.0 27 3 14 3
61.5 31 8 21 4
60.0 41 5 18 2
58.5 20 3 24 3
57.0 29 4 13 5
55.5 32 6 15 5
54.0 36 2 18 7
52.5 14 5 8 5
51.0 26 5 9 4
49.5 27 3 12 4
48.0 50 2 13 5
46.5 15 1 7 2
45.0 15 2 10 5
43.5 18 1 12 7
42.0 29 4 10 5
40.5 12 1 5 3
39.0 6 6 3
37.5 21 1 6 7
36.0 14 1 8 2
34.5 7 1 5
33.0 7 1 3 2
31.5 5 2 2
30.0 18 4
28.5 3 1 3
27.0 4 2
25.5 1
24.0 7 1 1
22.5 1 1 1 1
21.0 1
19.5 1
18.0 5 1
12.0 1
American Mathematics Competitions
2007 AMC 10 A Results for Colorado
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 1 99.5
149.0 124.0 99.0 7 1
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5 2
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 2
145.5 1 120.5 95.5
145.0 120.0 4 95.0
144.5 119.5 94.5 4
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 3 2
142.5 117.5 92.5
142.0 117.0 1 92.0
141.5 116.5 91.5 7 1
141.0 116.0 91.0
140.5 115.5 2 90.5
140.0 115.0 90.0 8 3
139.5 1 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5 7 1
138.0 1 113.0 88.0
137.5 112.5 1 87.5
137.0 112.0 87.0 8 2
136.5 111.5 86.5
136.0 111.0 1 86.0
135.5 110.5 85.5 7 9
135.0 1 110.0 85.0
134.5 109.5 2 84.5
134.0 109.0 84.0 3 2
133.5 108.5 83.5
133.0 108.0 2 83.0
132.5 107.5 82.5 6 4
132.0 107.0 82.0
131.5 106.5 1 81.5
131.0 106.0 81.0 6 3
130.5 2 105.5 80.5
130.0 105.0 1 1 80.0
129.5 104.5 79.5 10 6
129.0 104.0 79.0
128.5 103.5 2 78.5
128.0 103.0 78.0 13 3
127.5 1 102.5 77.5
127.0 102.0 1 1 77.0
126.5 101.5 76.5 7 5
126.0 1 101.0 76.0
125.5 100.5 1 75.5
American Mathematics Competitions
2007 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 1 50.0 25.0
74.5 49.5 6 6 24.5
74.0 49.0 24.0 1
73.5 15 4 48.5 23.5
73.0 48.0 7 6 23.0
72.5 47.5 22.5
72.0 8 7 47.0 22.0
71.5 46.5 2 5 21.5
71.0 46.0 21.0
70.5 7 3 45.5 20.5
70.0 45.0 4 6 20.0
69.5 44.5 19.5 1
69.0 14 10 44.0 19.0
68.5 43.5 5 7 18.5
68.0 43.0 18.0
67.5 10 7 42.5 17.5
67.0 42.0 5 5 17.0
66.5 41.5 16.5
66.0 15 4 41.0 16.0
65.5 40.5 5 15.5
65.0 40.0 15.0
64.5 13 10 39.5 14.5
64.0 39.0 3 3 14.0
63.5 38.5 13.5
63.0 8 5 38.0 13.0
62.5 37.5 2 4 12.5
62.0 37.0 12.0
61.5 16 4 36.5 11.5
61.0 36.0 5 2 11.0
60.5 35.5 10.5
60.0 9 7 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 11 12 33.5 8.5
58.0 33.0 1 2 8.0
57.5 32.5 7.5
57.0 4 8 32.0 7.0
56.5 31.5 2 6.5
56.0 31.0 6.0
55.5 6 9 30.5 5.5
55.0 30.0 1 3 5.0
54.5 29.5 4.5
54.0 10 8 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 4 4 27.5 2.5
52.0 27.0 2 2.0
51.5 26.5 1.5
51.0 2 7 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
145.5 1
139.5 1
138.0 1
135.0 1
130.5 2
127.5 1
126.0 1
124.5 1
120.0 1 3
117.0 1
115.5 1 1
112.5 1
111.0 1
109.5 1 1
108.0 1 1
106.5 1
105.0 2
103.5 3
102.0 1 1
100.5 1 1
99.0 1 2 5
97.5 2
96.0 1 1
94.5 1 5
93.0 3 2
91.5 3 5
90.0 1 2 4 4
88.5 4 5
87.0 1 4 5 1
85.5 1 2 6 9
84.0 2 4
82.5 2 5 3 2
81.0 2 8
79.5 1 7 8
78.0 1 1 5 10 1
76.5 6 7
75.0 1 5 6
73.5 1 8 10
72.0 2 7 7 1
70.5 2 8
69.0 1 13 12
67.5 1 1 8 6 1
66.0 2 7 11
64.5 14 10 1
63.0 1 2 4 6 1
61.5 10 10 1
60.0 2 1 8 7
58.5 11 13
57.0 1 6 6
55.5 9 6
54.0 1 1 9 7
52.5 3 5
51.0 6 3
49.5 8 4
48.0 1 7 5
46.5 2 5
45.0 4 6
43.5 4 8
42.0 6 4
40.5 3 2
39.0 5 1
37.5 4 2
36.0 4 3 1
33.0 2 1
31.5 2
30.0 2 2
27.0 1 1
24.0 1
22.5 1
19.5 1
American Mathematics Competitions
2007 AMC 10 A Results for Colorado
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.87 1.56 92.71* 2.95 0.87 1.04 0.00
2 67.53* 3.13 1.39 3.13 2.08 22.74 0.00
3 4.69 2.95 3.65 67.01* 3.13 18.58 0.00
4 84.90* 2.08 5.38 0.69 1.56 5.38 0.00
5 1.04 63.19* 2.78 4.86 3.47 24.65 0.00
6 62.67* 0.52 1.22 2.78 29.69 3.13 0.00
7 0.69 2.78 27.43 56.60* 0.69 11.81 0.00
8 7.99 5.38 6.42 50.87* 4.34 25.00 0.00
9 3.99 2.26 2.78 9.20 35.59* 46.18 0.00
10 8.16 12.67 7.12 3.13 31.77* 37.15 0.00
11 2.08 9.20 58.68* 3.30 1.91 24.83 0.00
12 5.73 4.34 18.06 15.97* 11.63 44.27 0.00
13 5.73 22.05* 2.78 4.17 16.15 49.13 0.00
14 18.06* 9.55 4.51 4.69 3.13 60.07 0.00
15 14.24 13.72* 5.90 2.08 6.60 57.47 0.00
16 6.77 6.77 26.56 6.42 10.76* 42.71 0.00
17 6.42 5.90 3.99 27.43* 5.90 50.35 0.00
18 2.95 6.25 18.23* 8.16 5.56 58.85 0.00
19 5.73 4.34 7.29* 3.30 3.65 75.69 0.00
20 5.38 2.43 5.38 24.13* 4.51 58.16 0.00
21 3.13 15.10 13.02* 4.17 19.97 44.44 0.17
22 8.51 6.08 7.47 11.11* 0.35 66.49 0.00
23 17.53 12.33* 3.47 2.78 2.60 61.28 0.00
24 3.13 10.42* 5.56 7.29 4.86 68.75 0.00
25 10.42 5.38 6.77 7.12* 2.78 67.53 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
2007 AMC 12 A Results for Colorado
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 2
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5 5
147.0 122.0 97.0
146.5 121.5 1 96.5
146.0 121.0 96.0 2
145.5 120.5 95.5
145.0 120.0 1 95.0
144.5 119.5 94.5 5 1
144.0 1 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 3 3
142.5 117.5 92.5
142.0 117.0 1 1 92.0
141.5 116.5 91.5 7 2
141.0 116.0 91.0
140.5 115.5 1 90.5
140.0 115.0 90.0 6 1
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5 7 4
138.0 113.0 88.0
137.5 112.5 2 87.5
137.0 112.0 87.0 5 2
136.5 111.5 86.5
136.0 111.0 1 1 86.0
135.5 110.5 85.5 6 5
135.0 110.0 85.0
134.5 109.5 1 1 84.5
134.0 109.0 84.0 10 4
133.5 108.5 83.5
133.0 108.0 3 83.0
132.5 107.5 82.5 10 5
132.0 107.0 82.0
131.5 106.5 1 1 81.5
131.0 106.0 81.0 5 5
130.5 105.5 80.5
130.0 105.0 3 2 80.0
129.5 104.5 79.5 12 5
129.0 104.0 79.0
128.5 103.5 4 78.5
128.0 103.0 78.0 11 5
127.5 102.5 77.5
127.0 102.0 3 2 77.0
126.5 101.5 76.5 21 8
126.0 101.0 76.0
125.5 100.5 2 1 75.5
American Mathematics Competitions
2007 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 4 50.0 25.0
74.5 49.5 13 12 24.5
74.0 49.0 24.0 3 4
73.5 7 6 48.5 23.5
73.0 48.0 19 30 23.0
72.5 47.5 22.5 1
72.0 23 10 47.0 22.0
71.5 46.5 12 3 21.5
71.0 46.0 21.0 1
70.5 23 6 45.5 20.5
70.0 45.0 9 5 20.0
69.5 44.5 19.5
69.0 20 5 44.0 19.0
68.5 43.5 9 9 18.5
68.0 43.0 18.0 4
67.5 12 10 42.5 17.5
67.0 42.0 14 15 17.0
66.5 41.5 16.5
66.0 22 16 41.0 16.0
65.5 40.5 4 8 15.5
65.0 40.0 15.0
64.5 14 12 39.5 14.5
64.0 39.0 1 4 14.0
63.5 38.5 13.5
63.0 10 15 38.0 13.0
62.5 37.5 9 12 12.5
62.0 37.0 12.0 1
61.5 14 15 36.5 11.5
61.0 36.0 7 7 11.0
60.5 35.5 10.5
60.0 25 16 35.0 10.0
59.5 34.5 3 4 9.5
59.0 34.0 9.0
58.5 10 10 33.5 8.5
58.0 33.0 2 5 8.0
57.5 32.5 7.5
57.0 13 16 32.0 7.0
56.5 31.5 1 4 6.5
56.0 31.0 6.0
55.5 17 13 30.5 5.5
55.0 30.0 7 11 5.0
54.5 29.5 4.5
54.0 19 17 29.0 4.0
53.5 28.5 2 3.5
53.0 28.0 3.0
52.5 6 7 27.5 2.5
52.0 27.0 1 3 2.0
51.5 26.5 1.5
51.0 10 16 26.0 1.0
50.5 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
121.5 1
120.0 1
117.0 1 1
115.5 1
112.5 2
111.0 1 1
109.5 1 1
108.0 1 2
106.5 2
105.0 1 2 2
103.5 1 2 2
102.0 1 5
100.5 1 2
99.0 1 1
97.5 2 3
96.0 1 2
94.5 1 1 4
93.0 2 2 2
91.5 2 7
90.0 2 2 3
88.5 1 9 3
87.0 1 4 4
85.5 1 3 7
84.0 9 5
82.5 3 8 5
81.0 1 7 3
79.5 1 1 9 7
78.0 2 10 6
76.5 1 1 3 13 11
75.0 1 7 3
73.5 8 6
72.0 1 1 23 8
70.5 2 2 22 3 1
69.0 2 16 7
67.5 1 3 12 6
66.0 4 23 11
64.5 3 13 12 1
63.0 1 4 12 10
61.5 3 2 14 11 1
60.0 1 2 18 20
58.5 1 1 8 10
57.0 3 15 11
55.5 4 19 8 1
54.0 1 26 9
52.5 1 2 7 4
51.0 1 13 12
49.5 3 15 9
48.0 1 1 31 16 1
46.5 4 10 1
45.0 1 10 4
43.5 1 3 9 5
42.0 1 1 17 10
40.5 10 2
39.0 4 2
37.5 1 11 9
36.0 13 1
34.5 1 3 3
33.0 2 1 1 3
31.5 3 2
30.0 1 11 6
28.5 1 1 1
27.0 1 2 1
25.5 1
24.0 1 2 4
22.5 1
21.0 1
18.0 1 3 1
12.0 1
American Mathematics Competitions
2007 AMC 12 A Results for Colorado
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.43 1.49 94.78* 2.03 0.53 0.75 0.00
2 3.09 4.16 3.30 76.76* 4.58 8.10 0.00
3 87.85* 1.81 3.73 1.17 1.17 4.26 0.00
4 71.64* 2.56 15.67 2.67 5.01 2.45 0.00
5 0.96 2.56 20.36 68.23* 1.71 6.18 0.00
6 8.10 4.26 8.10 60.13* 4.48 14.93 0.00
7 33.05 2.03 25.16* 1.17 14.61 23.77 0.21
8 3.62 5.54 41.04* 15.25 16.84 17.70 0.00
9 7.36 37.42* 4.16 3.30 19.83 27.93 0.00
10 30.17* 11.62 6.72 8.32 3.62 39.45 0.11
11 11.73 8.42 9.59 25.16* 2.35 42.75 0.00
12 7.78 8.64 24.73 10.23 16.52* 32.09 0.00
13 9.28 41.04* 16.52 8.85 5.65 18.66 0.00
14 7.68 24.41 23.67* 6.08 3.62 34.54 0.00
15 11.19 8.10 18.66 8.42 24.84* 28.78 0.00
16 13.11 7.78 10.34* 10.45 6.08 52.24 0.00
17 8.32 10.34* 5.76 7.36 5.97 62.15 0.11
18 6.18 4.80 8.42 9.38* 6.18 64.93 0.11
19 5.22 6.72 6.29 7.25 6.50* 68.02 0.00
20 3.94 7.46* 7.89 6.40 7.57 66.52 0.21
21 6.93* 7.46 11.94 10.23 7.68 55.65 0.11
22 9.38 10.23 13.75 6.82* 3.20 56.61 0.00
23 8.53* 6.40 9.17 5.33 5.33 65.25 0.00
24 3.84 5.97 7.36 5.76* 3.41 73.67 0.00
25 9.06 8.00 6.29 5.76 3.84* 67.06 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
2007 AMC 10 B Results for Colorado
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
149.0 124.0 99.0 1
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5 1
144.0 1 119.0 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
141.5 116.5 91.5 1
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 1 114.5 89.5
139.0 114.0 2 89.0
138.5 113.5 88.5 1
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 87.0 1
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5 1 1
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0 1
133.5 108.5 83.5
133.0 108.0 2 83.0
132.5 107.5 82.5 3
132.0 107.0 82.0
131.5 106.5 1 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 3
129.0 104.0 79.0
128.5 103.5 2 78.5
128.0 103.0 78.0 2 1
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 76.5 1
126.0 1 101.0 76.0
125.5 100.5 1 75.5
American Mathematics Competitions
2007 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 49.5 1 2 24.5
74.0 49.0 24.0 1
73.5 1 48.5 23.5
73.0 48.0 4 1 23.0
72.5 47.5 22.5 1
72.0 5 2 47.0 22.0
71.5 46.5 2 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 45.0 2 3 20.0
69.5 44.5 19.5
69.0 1 1 44.0 19.0
68.5 43.5 2 4 18.5
68.0 43.0 18.0 1
67.5 3 1 42.5 17.5
67.0 42.0 2 2 17.0
66.5 41.5 16.5
66.0 2 5 41.0 16.0
65.5 40.5 1 2 15.5
65.0 40.0 15.0
64.5 2 39.5 14.5
64.0 39.0 2 1 14.0
63.5 38.5 13.5
63.0 2 38.0 13.0
62.5 37.5 4 3 12.5
62.0 37.0 12.0
61.5 4 36.5 11.5
61.0 36.0 2 11.0
60.5 35.5 10.5
60.0 2 35.0 10.0
59.5 34.5 2 3 9.5
59.0 34.0 9.0
58.5 1 1 33.5 8.5
58.0 33.0 2 8.0
57.5 32.5 7.5
57.0 2 3 32.0 7.0
56.5 31.5 1 6.5
56.0 31.0 6.0
55.5 4 1 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 4 2 29.0 4.0
53.5 28.5 1 2 3.5
53.0 28.0 3.0
52.5 4 1 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 4 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
139.5 1
126.0 1
114.0 1 1
108.0 2
106.5 1
103.5 2
100.5 1
99.0 1
96.0 1
94.5 1
91.5 1
88.5 1
87.0 1 1
85.5 2
84.0 1
82.5 2 2
81.0 1
79.5 1 2
78.0 1 1 2
76.5 1
75.0 1
73.5 1
72.0 1 2 4
70.5 2
69.0 2 1
67.5 1 2 2
66.0 1 3 3 1
64.5 1 1
63.0 2 1
61.5 2 2
60.0 1 1
58.5 3
57.0 2 3
55.5 3 2
54.0 5 1 1
52.5 4 1
51.0 3 1
49.5 1 2 1
48.0 5
46.5 1 1
45.0 3 2
43.5 4 3
42.0 4 1
40.5 3
39.0 3
37.5 6 1
36.0 1 1
34.5 4 1
33.0 2
31.5 2
28.5 3
24.0 1
22.5 1
18.0 1
American Mathematics Competitions
2007 AMC 10 B Results for Colorado
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.25 1.88 6.25 4.38 71.88* 14.38 0.00
2 0.63 0.63 25.63 1.88 58.13* 13.13 0.00
3 0.63 33.75* 60.63 0.00 0.00 5.00 0.00
4 0.63 4.38 1.88 48.13* 10.00 35.00 0.00
5 11.88 11.88 8.13 51.25* 6.88 10.00 0.00
6 0.63 1.25 1.88 73.75* 21.25 1.25 0.00
7 19.38 1.25 20.63 3.75 20.00* 35.00 0.00
8 5.63 11.25 5.00 24.38* 5.00 48.75 0.00
9 5.00 1.88 1.88 73.13* 11.88 6.25 0.00
10 14.38* 6.88 13.75 16.25 4.38 44.38 0.00
11 11.88 8.13 7.50* 5.63 4.38 62.50 0.00
12 11.25 4.38 4.38 24.38* 6.88 48.75 0.00
13 2.50 5.00 3.75 13.75* 5.00 70.00 0.00
14 1.25 4.38 68.13* 7.50 7.50 11.25 0.00
15 1.88 8.13 1.88 37.50* 1.88 48.75 0.00
16 27.50 3.13 47.50* 4.38 2.50 15.00 0.00
17 4.38 1.88 4.38 6.88* 2.50 80.00 0.00
18 1.88 12.50* 4.38 11.88 8.13 61.25 0.00
19 8.13 5.00 30.63* 3.13 8.13 45.00 0.00
20 3.13 10.63 11.88* 6.25 17.50 50.63 0.00
21 6.88 5.63* 1.88 1.25 8.75 75.63 0.00
22 15.63 10.63* 9.38 16.25 16.25 31.25 0.63
23 1.25 5.00 3.13 10.63 6.88* 73.13 0.00
24 4.38 6.88 8.75* 3.13 5.00 71.88 0.00
25 1.88* 1.25 3.13 1.25 27.50 65.00 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
2007 AMC 12 B Results for Colorado
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 2
148.5 123.5 98.5
148.0 123.0 1 1 98.0
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 1 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 1 95.0
144.5 119.5 94.5 2 2
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 1
142.5 117.5 92.5
142.0 117.0 2 92.0
141.5 116.5 91.5 1 1
141.0 116.0 91.0
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 3
138.0 1 113.0 88.0
137.5 112.5 1 87.5
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 1 110.0 85.0
134.5 109.5 2 84.5
134.0 109.0 84.0 4 2
133.5 108.5 83.5
133.0 108.0 1 83.0
132.5 107.5 82.5 1
132.0 2 107.0 82.0
131.5 106.5 1 81.5
131.0 106.0 81.0 1
130.5 105.5 80.5
130.0 105.0 1 80.0
129.5 104.5 79.5 1 1
129.0 104.0 79.0
128.5 103.5 1 78.5
128.0 103.0 78.0 1
127.5 1 102.5 77.5
127.0 102.0 2 77.0
126.5 101.5 76.5 2 2
126.0 101.0 76.0
125.5 100.5 1 1 75.5
American Mathematics Competitions
2007 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 50.0 25.0
74.5 49.5 3 24.5
74.0 49.0 24.0
73.5 48.5 23.5
73.0 48.0 2 23.0
72.5 47.5 22.5 1
72.0 1 47.0 22.0
71.5 46.5 1 21.5
71.0 46.0 21.0
70.5 2 1 45.5 20.5
70.0 45.0 2 20.0
69.5 44.5 19.5
69.0 2 44.0 19.0
68.5 43.5 1 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 42.0 3 1 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 4 1 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 2 1 38.0 13.0
62.5 37.5 1 12.5
62.0 37.0 12.0
61.5 4 4 36.5 11.5
61.0 36.0 1 11.0
60.5 35.5 10.5
60.0 1 3 35.0 10.0
59.5 34.5 1 9.5
59.0 34.0 9.0
58.5 1 2 33.5 8.5
58.0 33.0 1 8.0
57.5 32.5 7.5
57.0 2 2 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 2 4 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 2 29.0 4.0
53.5 28.5 1 3.5
53.0 28.0 3.0
52.5 4 1 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 1 4 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2007 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
138.0 1
135.0 1
132.0 1 1
127.5 1
123.0 1 1
121.5 1
120.0 1
117.0 2
114.0 1
112.5 1
109.5 1 1
108.0 1
106.5 1
105.0 1
103.5 1
102.0 1 1
100.5 1 1
99.0 2
97.5 1
96.0 1
94.5 2 1 1
93.0 1
91.5 1 2
90.0 1
88.5 1 2
84.0 1 1 3 1
82.5 1
81.0 1
79.5 1 1
78.0 1
76.5 2 1 1
75.0 4
72.0 2
70.5 2 1
69.0 2
66.0 1 1
64.5 3 2
63.0 2 1
61.5 1 4 3
60.0 4 1
58.5 1 1 1
57.0 3 1
55.5 5 1
54.0 2
52.5 2 3
51.0 4 1
49.5 3
48.0 1 1
46.5 1
45.0 1 1
43.5 1
42.0 2 2
40.5 1
37.5 1
36.0 1
34.5 1
33.0 1
28.5 1
22.5 1
American Mathematics Competitions
2007 AMC 12 B Results for Colorado
Analysis
Table of Item Difficulty for the 2007
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.75 0.75 0.00 3.76 90.98* 3.76 0.00
2 1.50 42.11* 54.89 0.00 0.00 1.50 0.00
3 1.50 6.77 0.75 72.93* 3.01 15.04 0.00
4 0.75 87.22* 1.50 3.76 3.76 3.01 0.00
5 0.00 1.50 2.26 80.45* 15.79 0.00 0.00
6 1.50 2.26 4.51 81.95* 3.01 6.77 0.00
7 15.04 2.26 17.29 3.01 38.35* 24.06 0.00
8 14.29 3.76 3.76 40.60* 0.75 36.84 0.00
9 45.11* 1.50 16.54 0.75 24.81 11.28 0.00
10 0.00 4.51 78.95* 4.51 5.26 6.77 0.00
11 0.75 5.26 2.26 65.41* 2.26 24.06 0.00
12 16.54 0.00 68.42* 2.26 0.75 12.03 0.00
13 2.26 44.36 3.76 33.83* 3.76 12.03 0.00
14 7.52 5.26 6.02 15.04* 0.75 65.41 0.00
15 5.26 2.26 1.50 6.02 13.53* 71.43 0.00
16 12.03* 6.02 3.01 2.26 3.01 73.68 0.00
17 4.51 6.77 13.53 13.53* 7.52 54.14 0.00
18 1.50 1.50 33.08* 4.51 3.01 56.39 0.00
19 13.53* 0.75 5.26 5.26 6.02 69.17 0.00
20 1.50 3.76 1.50 6.02* 0.00 87.22 0.00
21 11.28* 14.29 3.01 0.00 3.76 67.67 0.00
22 9.77* 4.51 3.76 8.27 18.05 55.64 0.00
23 7.52* 1.50 3.01 0.75 0.75 86.47 0.00
24 3.76* 0.00 0.75 1.50 12.78 81.20 0.00
25 3.01 3.01 8.27* 1.50 3.01 81.20 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column