American Mathematics Competitions
2008 AMC 10 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 728
Number of unofficial participants: 0
Average score of participants: 55.3
Average score for female students is: 51.7 ( 293 Students)
Average score for male students is: 60.3 ( 313 Students)
Average score for unspecified gender is 51.2 ( 122 Students)
Average score for grade 10 is: 56.3 ( 368 Students)
Average score for grade 9 is: 54.1 ( 253 Students)
Average score for grade 8 and below is: 58.9 ( 69 Students)
Average score with unknown grade: 47.3 ( 38 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 8
Number of schools returning results 32
Average school winning score 88.92
American Mathematics Competitions
2008 AMC 12 A Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 986
Number of unofficial participants: 0
Average score of participants: 60.2
Average score for female students is: 56.3 ( 385 Students)
Average score for male students is: 64.1 ( 486 Students)
Average score for unspecified gender is 57.2 ( 115 Students)
Average score for grade 13 is: 60.0 ( 1 Student)
Average score for grade 12 is: 61.6 ( 337 Students)
Average score for grade 11 is: 59.2 ( 541 Students)
Average score for grade 10 is: 65.7 ( 45 Students)
Average score for grade 9 is: 64.5 ( 15 Students)
Average score for grade 8 and below is: 72.0 ( 8 Students)
Average score with unknown grade: 52.8 ( 39 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 40
Number of schools returning results 33
Average school winning score 96.55
Average school team score 238.82
American Mathematics Competitions
2008 AMC 10 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 223
Number of unofficial participants: 0
Average score of participants: 62.1
Average score for female students is: 58.2 ( 83 Students)
Average score for male students is: 64.3 ( 126 Students)
Average score for unspecified gender is 66.5 ( 14 Students)
Average score for grade 10 is: 62.8 ( 89 Students)
Average score for grade 9 is: 60.7 ( 111 Students)
Average score for grade 8 and below is: 72.3 ( 18 Students)
Average score with unknown grade: 46.5 ( 5 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 14
Average school winning score 88.71
American Mathematics Competitions
2008 AMC 12 B Results for Colorado
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 177
Number of unofficial participants: 0
Average score of participants: 67.0
Average score for female students is: 59.3 ( 56 Students)
Average score for male students is: 71.2 ( 110 Students)
Average score for unspecified gender is 64.9 ( 11 Students)
Average score for grade 12 is: 65.6 ( 66 Students)
Average score for grade 11 is: 65.8 ( 83 Students)
Average score for grade 10 is: 73.8 ( 14 Students)
Average score for grade 9 is: 74.5 ( 11 Students)
Average score with unknown grade: 70.5 ( 3 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 14
Number of schools returning results 17
Average school winning score 93.53
Average school team score 235.85
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
364.5 1 1
357.0 1 2
345.0 1 3
327.0 1 4
318.0 1 5
313.5 1 6
309.0 1 7
298.5 3 8
297.0 1 11
292.5 2 12
286.5 1 14
279.0 1 15
277.5 1 16
274.5 1 17
271.5 1 18
270.0 1 19
268.5 2 20
267.0 1 22
265.5 1 23
264.0 1 24
259.5 1 1 25
249.0 1 27
247.5 1 28
244.5 1 29
237.0 1 30
234.0 1 31
232.5 1 32
231.0 1 33
225.0 1 34
220.5 1 35
217.5 1 36
216.0 1 37
210.0 1 1 38
186.0 1 40
166.5 1 41
163.5 1 42
153.0 1 43
117.0 1 44
114.0 1 45
91.5 1 46
90.0 1 47
78.0 1 48
70.5 1 49
63.0 1 50
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
144.0 2 1
136.5 1
135.0 1
132.0 1 1 1
129.0 2
126.0 2 2
123.0 1
121.5 1 1
120.0 1
118.5 1 1
117.0 1 2
115.5 2
114.0 2 1 3 1
112.5 1
111.0 1 1 1
109.5 1 1 1 1
108.0 3 1
106.5 1
105.0 4 1 1
103.5 3 1 1
102.0 1 4 3
100.5 7 4 3
99.0 4 1 1
97.5 5 1 1 2
96.0 5 1 2 1
94.5 3 1 4 4
93.0 8 1 2 1
91.5 6 2 3 1
90.0 13 2 5 1
88.5 13 5 5
87.0 6 3
85.5 13 6 1
84.0 13 4 5 3
82.5 14 5 5 1
81.0 17 3 6 5
79.5 17 3 14 6
78.0 9 5 12 2
76.5 17 5 7 2
75.0 16 4 9 5
73.5 19 7 12 4
72.0 27 7 15 6
70.5 28 6 7 4
69.0 16 8 7 8
67.5 25 6 12 3
66.0 36 7 12 5
64.5 27 5 16 7
63.0 21 3 21 6
61.5 24 4 20 4
60.0 36 7 18 13
58.5 26 6 25 10
57.0 32 10 19 8
55.5 34 5 22 7
54.0 38 2 31 7
52.5 33 3 29 9
51.0 37 3 22 8
49.5 24 1 41 5
48.0 45 4 32 10
46.5 25 4 23 4
45.0 29 3 27 3
43.5 15 4 20 4
42.0 44 2 20 5
40.5 18 1 20 4
39.0 16 1 14 2
37.5 11 2 25 3
36.0 18 1 22 9
34.5 13 1 8 1
33.0 5 2 18 3
31.5 8 2 6
30.0 24 2 14 5
28.5 3 10 2
27.0 4 9
25.5 1 7
24.0 7 6 1
22.5 1 1
21.0 1 3 1
19.5 2 2
18.0 1 1
15.0 1
13.5 1 1
12.0 2 1 1
American Mathematics Competitions
2008 AMC 10 A Results for Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
144.0 1 1
135.0 1 1
132.0 1 1
129.0 2 2
126.0 1 1 1 1
121.5 1 1
114.0 1 1 2 1
111.0 1 1
109.5 1 1
106.5 1 1
105.0 1 1
103.5 1
102.0 2 2 2 2
100.5 2 1 2 1
99.0 1 1
97.5 1 1
96.0 2 1 1
94.5 4 2 2
93.0 1 2
91.5 3 1 2
90.0 4 3 2
88.5 4 1 5
85.5 5 1 2 4
84.0 2 2 2 3
82.5 2 2 1 3 1
81.0 3 3 1 5
79.5 6 5 3 11
78.0 9 2 2 1 9
76.5 4 3 1 3 3
75.0 4 4 2 7
73.5 9 2 1 2 8 1
72.0 7 4 1 6 7 1
70.5 2 5 1 2 4
69.0 4 2 1 2 4
67.5 5 5 4 1 6 1
66.0 8 2 1 6 5
64.5 10 4 1 2 3 10
63.0 9 9 2 3 15 1
61.5 11 6 1 7 12
60.0 8 9 2 1 7 8
58.5 6 13 1 2 10 10 2
57.0 9 8 2 7 9 1
55.5 10 8 3 2 8 9
54.0 14 13 2 1 12 16
52.5 8 13 4 14 8 3
51.0 11 10 1 8 12 1
49.5 12 23 1 3 11 23 3
48.0 16 10 1 1 9 17 4
46.5 9 10 1 4 12 6
45.0 13 11 12 15
43.5 6 10 2 7 11
42.0 7 8 1 1 8 8 2
40.5 8 4 2 1 3 11 3
39.0 7 5 1 6 6 1
37.5 7 9 7 10 8
36.0 7 10 10 10 2
34.5 2 5 1 4 3
33.0 4 8 1 5 9 3
31.5 1 4 2 4
30.0 4 7 1 2 4 7
28.5 2 7 4 6
27.0 4 4 4 5
25.5 3 4 4 3
24.0 1 5 5 1
22.5 1 1
21.0 3 2 1
19.5 2 1 1
18.0 1
12.0 1
American Mathematics Competitions
2008 AMC 10 A Results for Colorado
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.06 1.51 7.69 81.59* 4.95 2.20 0.00
2 43.96* 19.23 27.34 1.37 1.24 6.87 0.00
3 65.80* 4.81 3.16 1.24 2.75 22.25 0.00
4 3.43 6.73 52.61* 11.13 4.53 21.57 0.00
5 6.87 35.58* 4.53 6.04 4.26 42.72 0.00
6 2.61 3.71 2.75 17.58* 48.63 24.59 0.14
7 49.59 3.71 6.87 1.79 14.01* 23.90 0.14
8 40.38* 6.04 3.85 26.37 4.26 19.09 0.00
9 2.06 26.24* 16.90 30.22 6.87 17.72 0.00
10 1.24 40.25 7.83 0.41 39.97* 10.30 0.00
11 3.85 3.98 6.87 61.95* 9.89 13.46 0.00
12 13.32 3.16 29.53* 10.03 6.18 37.77 0.00
13 14.56 34.48 8.38 23.90* 2.34 16.35 0.00
14 3.85 6.04 9.07 20.60* 6.59 53.85 0.00
15 3.16 2.61 25.27 25.69* 8.10 35.16 0.00
16 3.16 12.91* 3.71 21.57 7.28 51.37 0.00
17 7.83 11.40* 5.77 4.95 4.67 65.25 0.14
18 2.47 6.46* 4.53 6.46 4.12 75.96 0.00
19 4.95 7.55 10.99* 4.53 6.04 65.93 0.00
20 3.02 5.36 15.80 6.46* 2.61 66.76 0.00
21 14.70* 21.57 4.53 5.49 3.02 50.69 0.00
22 7.42 5.08 24.45 21.15* 9.07 32.83 0.00
23 11.54 7.14* 8.52 5.36 2.61 64.84 0.00
24 8.52 10.30 7.28 8.10* 8.52 57.14 0.14
25 3.98 5.77 5.22* 5.77 6.73 72.53 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
2008 AMC 12 A Results for Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
144.0 2 1 1
123.0 1 1
121.5 1 1
120.0 1 1
118.5 1 1
117.0 1 1
115.5 2 1 1
114.0 2 1 1
112.5 1 1
109.5 1 1
108.0 3 1 2
105.0 3 2 1 1
103.5 1 1 1 1 1
102.0 1 1
100.5 5 1 2 4
99.0 2 1 4
97.5 3 2 2 3
96.0 3 2 1 2 2
94.5 3 1 2
93.0 6 2 7 1
91.5 5 1 2 3
90.0 5 6 1 6 5 1
88.5 11 2 1 5 7
87.0 5 1 1 3 2
85.5 9 1 1 4 8
84.0 10 2 5 4 2
82.5 6 7 2 8 4
81.0 8 6 2 7 8
79.5 7 8 1 10 3 3
78.0 2 5 1 4 4
76.5 11 4 1 1 2 9 4
75.0 11 2 1 9 5 1
73.5 9 7 1 9 8 1
72.0 15 11 1 15 11
70.5 17 9 1 16 11
69.0 8 6 1 1 8 5 1
67.5 14 10 1 14 9 1
66.0 19 14 25 10 1
64.5 17 6 1 4 13 8 1
63.0 16 4 16 5
61.5 16 4 2 15 7
60.0 18 16 1 22 11 1 1
58.5 10 14 1 1 15 9
57.0 15 14 3 3 18 8
55.5 15 15 1 22 10 1
54.0 20 15 1 1 20 15 1
52.5 16 14 2 20 10 1
51.0 13 23 2 22 13
49.5 6 15 1 1 15 6 1
48.0 23 20 1 26 17 1
46.5 9 12 2 18 5
45.0 7 20 1 1 20 7
43.5 5 7 11 2 2
42.0 18 21 4 22 15 3
40.5 7 7 1 10 4 3
39.0 6 6 1 8 7
37.5 4 2 5 1 5
36.0 10 7 1 1 6 10
34.5 3 5 8 4 1
33.0 1 3 3 1 1
31.5 1 6 6 2
30.0 10 10 8 14 2
28.5 1 1 3
27.0 1 2 2 1 1
25.5 1
24.0 3 4 2 4 1
19.5 1 1 1 1
18.0 1 1
15.0 1
13.5 1 1
12.0 1 1 1
American Mathematics Competitions
2008 AMC 12 A Results for Colorado
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.83 0.41 6.39 87.02* 3.45 0.91 0.00
2 89.25* 4.97 1.01 0.51 3.25 0.91 0.10
3 5.27 5.98 64.50* 9.84 4.36 9.94 0.10
4 8.22 44.22* 5.68 6.29 3.85 31.74 0.00
5 2.03 36.41* 16.23 28.09 6.19 11.05 0.00
6 47.97* 9.03 3.96 26.57 3.14 9.33 0.00
7 5.17 5.07 7.51 65.21* 7.51 9.43 0.10
8 5.68 7.61 54.67* 5.88 15.42 10.75 0.00
9 5.27 10.95 8.52 32.45* 4.77 37.83 0.20
10 11.97 30.93 11.05 32.35* 2.84 10.85 0.00
11 8.72 8.32 52.94* 7.40 5.27 17.24 0.10
12 14.50 23.63* 9.23 9.13 7.51 36.00 0.00
13 4.06 21.60* 8.82 21.50 9.53 34.48 0.00
14 11.26* 8.92 5.38 7.71 4.56 62.17 0.00
15 8.82 11.16 11.56 10.65* 11.26 46.55 0.00
16 5.68 8.92 7.51 9.13* 2.74 66.02 0.00
17 4.16 6.09 6.69 9.84* 7.00 66.23 0.00
18 4.26 6.80 8.32* 3.75 10.65 66.23 0.00
19 3.96 10.75 9.03* 6.69 4.56 64.91 0.10
20 2.74 5.88 6.69 4.56 6.39* 73.63 0.10
21 6.29 6.49 5.98 8.52* 3.96 68.76 0.00
22 5.38 9.13 8.42* 6.80 5.58 64.60 0.10
23 4.16 5.48 4.77 5.78* 2.94 76.88 0.00
24 6.59 12.37 11.26 4.97* 9.43 55.27 0.10
25 3.65 6.39 6.29 9.03* 4.36 70.18 0.10
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2008 AMC 10 B Results for Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
136.5 1
132.0 1 1
126.0 2 1 1
118.5 1
117.0 2 1 1
114.0 1 1
111.0 1 1
109.5 1 1
102.0 2 1 2
97.5 2 1 1
96.0 1 1
94.5 2 1 3 1
93.0 1 1
91.5 1 1
90.0 1 1
87.0 3 3
85.5 1 1
84.0 2 1 1 2
82.5 1 1
81.0 3 2 1 4
79.5 5 1 6
78.0 2 2
76.5 1 1 2
75.0 2 3 2 3
73.5 2 2 1 3
72.0 4 2 3 3
70.5 2 2 1 2 1
69.0 4 4 8
67.5 3 3
66.0 3 2 1 3 1
64.5 3 4 1 4 2
63.0 3 3 1 3 2
61.5 3 2 2
60.0 6 6 1 2 6 4
58.5 4 4 1 4 5
57.0 3 5 7 1
55.5 4 3 4 3
54.0 5 1 1 2 4
52.5 4 4 1 4 3 1
51.0 3 5 5 3
49.5 2 3 1 4
48.0 6 4 8 2
46.5 4 3 1
45.0 3 2 1
43.5 3 1 1 1 1 1
42.0 1 3 1 3 1
40.5 3 1 3 1
39.0 2 2
37.5 1 2 2 1
36.0 5 2 5 2 2
34.5 1 1
33.0 2 1 2 1
30.0 1 4 4 1
28.5 1 1 2
24.0 1 1
22.5 1 1
21.0 1
American Mathematics Competitions
2008 AMC 10 B Results for Colorado
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.35 2.24 4.04 12.11 76.68* 3.59 0.00
2 5.38 77.13* 10.31 1.79 0.90 4.48 0.00
3 27.80 4.48 4.04 28.70* 4.93 29.60 0.45
4 14.35 8.52 67.71* 1.35 1.35 6.73 0.00
5 43.05* 7.62 1.35 1.35 5.38 41.26 0.00
6 7.17 5.83 36.32* 13.00 8.97 28.70 0.00
7 5.83 5.38 71.30* 4.04 3.14 9.87 0.45
8 1.79 11.66 52.91* 8.52 7.62 17.49 0.00
9 14.35* 3.59 3.14 10.76 7.62 60.54 0.00
10 17.49* 6.73 4.04 5.83 7.62 58.30 0.00
11 2.24 14.80* 5.83 12.56 3.59 60.99 0.00
12 74.89* 9.42 2.69 1.79 3.59 7.62 0.00
13 25.56 12.56* 9.42 2.69 4.48 45.29 0.00
14 7.62 27.80* 4.48 4.04 3.59 52.47 0.00
15 11.66* 7.62 7.17 8.07 6.73 58.74 0.00
16 32.29* 22.87 4.48 6.73 3.59 30.04 0.00
17 17.04 8.97* 20.63 13.45 10.76 28.70 0.45
18 6.28 14.35* 14.35 6.73 2.24 56.05 0.00
19 5.38 2.69 5.83 13.00 7.17* 65.92 0.00
20 7.17 42.15* 10.31 8.07 1.79 30.49 0.00
21 8.97 6.28 6.73* 8.97 5.38 63.68 0.00
22 13.00 7.62 23.32* 11.21 6.28 38.57 0.00
23 12.56 8.07* 5.38 7.62 4.48 61.43 0.45
24 5.83 8.07 11.66* 12.56 8.52 53.36 0.00
25 22.42 13.90* 9.42 5.83 3.59 44.84 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
2008 AMC 12 B Results for Colorado
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
150.0 1 1
132.0 1 1
114.0 1 1
111.0 1 1
109.5 1 1
108.0 1 1
105.0 1 1
103.5 1 1
100.5 4 1 2 1
99.0 1 1
97.5 1 1
96.0 1 1
94.5 1 1
93.0 1 1
91.5 2 1 1
90.0 2 1 1
88.5 4 1 1 2 2
84.0 3 1 3
82.5 4 1 2 1 2
81.0 2 1 1 2
79.5 2 1 1 1
78.0 4 1 1 2 2
76.5 5 2 2 1
75.0 3 1 1 2
73.5 3 3 1 4 1 1
72.0 4 2 3 2 2
70.5 6 4 2
69.0 3 4 7 1
67.5 2 4 1 2 3
66.0 3 3 4 3
64.5 4 1 3 2
63.0 3 2 1
61.5 4 2 2
60.0 2 5 2 5
58.5 4 1 2 1 2 1
57.0 7 3 4 6
55.5 2 3 2 3
54.0 2 2
52.5 2 2 1
51.0 2 2 1
49.5 1 1
48.0 1 3 3 1
46.5 2 2 1 3
45.0 2 1 2 1
43.5 1 3 1 2 1
42.0 2 1 1
40.5 1 1
39.0 1 1
37.5 1 1 2
36.0 1 1
34.5 1 1
33.0 1 1 1
31.5 2 2
30.0 2 1 1
21.0 1 1
13.5 1 1
12.0 1 1
American Mathematics Competitions
2008 AMC 12 B Results for Colorado
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.56 0.00 3.39 8.47 87.01* 0.56 0.00
2 7.34 79.66* 3.39 2.26 1.69 5.65 0.00
3 4.52 12.99 79.66* 1.13 0.00 1.69 0.00
4 2.26 2.82 6.21 76.27* 2.82 9.60 0.00
5 1.69 8.47 63.28* 6.21 5.08 15.25 0.00
6 81.92* 5.08 2.26 3.39 3.95 3.39 0.00
7 71.19* 6.21 0.56 1.13 5.08 15.82 0.00
8 2.26 4.52 60.45* 5.65 7.91 19.21 0.00
9 25.42* 7.34 4.52 3.95 6.78 51.98 0.00
10 3.39 33.90* 15.82 5.08 3.95 37.85 0.00
11 14.69* 6.78 5.08 4.52 25.99 42.94 0.00
12 22.03 28.25* 3.95 1.13 6.78 37.85 0.00
13 2.26 17.51* 3.95 3.95 2.26 70.06 0.00
14 5.65 3.39 27.68* 11.86 3.39 48.02 0.00
15 5.65 7.91 12.43* 8.47 5.08 60.45 0.00
16 20.90 16.38* 9.04 6.21 1.13 46.33 0.00
17 1.69 2.82 8.47* 5.08 3.95 77.97 0.00
18 1.69 5.08 6.78 5.65 5.65* 75.14 0.00
19 5.65 5.08* 3.95 2.26 2.26 80.79 0.00
20 34.46 16.38* 5.65 4.52 2.26 36.72 0.00
21 2.82 2.82 3.39 4.52 2.82* 83.62 0.00
22 3.95 3.95 10.17 7.34 5.08* 69.49 0.00
23 2.26* 5.08 2.82 3.95 1.13 84.75 0.00
24 2.26 2.26 3.39* 1.69 0.56 89.83 0.00
25 1.13 3.95* 2.82 3.39 2.26 86.44 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column