American Mathematics Competitions
2008 AMC 10 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 254
Number of unofficial participants: 0
Average score of participants: 58.5
Average score for female students is: 52.7 ( 107 Students)
Average score for male students is: 66.2 ( 96 Students)
Average score for unspecified gender is 56.2 ( 51 Students)
Average score for grade 10 is: 61.4 ( 102 Students)
Average score for grade 9 is: 58.1 ( 128 Students)
Average score for grade 8 and below is: 73.5 ( 1 Student)
Average score with unknown grade: 47.4 ( 23 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 2
Number of schools returning results 9
Average school winning score 103.00
American Mathematics Competitions
2008 AMC 12 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 246
Number of unofficial participants: 0
Average score of participants: 70.8
Average score for female students is: 69.1 ( 86 Students)
Average score for male students is: 74.1 ( 116 Students)
Average score for unspecified gender is 65.4 ( 44 Students)
Average score for grade 12 is: 77.8 ( 82 Students)
Average score for grade 11 is: 68.9 ( 129 Students)
Average score for grade 10 is: 72.4 ( 17 Students)
Average score for grade 9 is: 91.5 ( 1 Student)
Average score with unknown grade: 48.1 ( 17 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 18
Number of schools returning results 8
Average school winning score 101.44
Average school team score 283.50
American Mathematics Competitions
2008 AMC 10 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 76
Number of unofficial participants: 0
Average score of participants: 62.1
Average score for female students is: 55.9 ( 33 Students)
Average score for male students is: 66.9 ( 40 Students)
Average score for unspecified gender is 68.0 ( 3 Students)
Average score for grade 10 is: 63.4 ( 27 Students)
Average score for grade 9 is: 61.4 ( 49 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 3
Average school winning score 81.00
American Mathematics Competitions
2008 AMC 12 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 85
Number of unofficial participants: 0
Average score of participants: 59.5
Average score for female students is: 57.5 ( 41 Students)
Average score for male students is: 62.0 ( 40 Students)
Average score for unspecified gender is 54.0 ( 4 Students)
Average score for grade 12 is: 60.8 ( 38 Students)
Average score for grade 11 is: 58.1 ( 42 Students)
Average score for grade 10 is: 69.0 ( 3 Students)
Average score with unknown grade: 48.8 ( 2 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 0
Number of schools returning results 4
Average school winning score 78.75
Average school team score 183.38
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
339.0 1 1
325.5 1 2
300.0 1 3
298.5 1 4
282.0 1 5
279.0 1 6
253.5 2 7
216.0 1 9
189.0 1 10
178.5 1 11
87.0 1 12
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
132.0 1 1
117.0 1 1
115.5 1
114.0 1
111.0 1
108.0 1
106.5 1 2 1
105.0 1
103.5 1
102.0 1 2
100.5 2 2
99.0 4 3
97.5 4
96.0 1 1 2
94.5 8 3
93.0 4 1 2
91.5 5 4 1
90.0 6 2 2 2
88.5 4 1
87.0 4 1 1 1
85.5 7 2 2 2
84.0 5 2
82.5 6 1 2 1
81.0 12 5 7 1
79.5 3 2 1
78.0 7 5 3
76.5 13 1 2 1
75.0 8 4 3 3
73.5 6 2 6 1
72.0 8 5 7 3
70.5 14 4 2 1
69.0 8 3 2
67.5 7 4 3
66.0 4 1 2 3
64.5 4 1 4 2
63.0 7 5 8 3
61.5 2 3 6 2
60.0 6 1 13
58.5 4 3 9 4
57.0 7 2 5 4
55.5 1 5 6 2
54.0 6 2 13 4
52.5 9 2 5 3
51.0 3 2 8 3
49.5 4 3 11 1
48.0 7 4 13 2
46.5 3 4 13 1
45.0 3 2 4 1
43.5 1 2 9 2
42.0 2 4 11
40.5 2 5 2
39.0 2 1 1 1
37.5 12 1 12
36.0 1 1 6 1
34.5 1 2 1 1
33.0 1 2
31.5 2 1
30.0 2 5
28.5 1
27.0 1 5
25.5 1
24.0 1
22.5 1 1
21.0 1
19.5 1
12.0 1
American Mathematics Competitions
2008 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
132.0 1 1
117.0 1 1
115.5 1
111.0 1
106.5 2 1 1
102.0 2 1 1
100.5 1 1 1
99.0 1 1 3
96.0 1 2
94.5 3 1 2
93.0 1 1 1 1
91.5 3 2 2
90.0 1 1 1
87.0 1 1
85.5 2 1 1
82.5 1 1 1 1
81.0 5 2 1 5 1
79.5 1 1 2
78.0 3 1 3 2
76.5 2 2
75.0 2 3
73.5 4 2 1 1 4
72.0 2 4 6 1
70.5 2 1 1
69.0 1 2 2 1
67.5 2 2 4
66.0 1 1 1
64.5 2 1 3 1
63.0 2 3 4 4
61.5 1 5 3 3
60.0 5 7 3 10
58.5 2 4 7 2
57.0 2 2 4 1
55.5 3 3 4 2
54.0 6 4 5 6 2
52.5 3 1 2 3
51.0 2 4 5 3
49.5 5 4 6 4 1
48.0 8 3 6 6 1
46.5 5 6 3 9 1
45.0 4 3 1
43.5 2 5 4 3 2
42.0 3 5 5 5 1
40.5 2 2 4 1
39.0 1 1
37.5 4 3 1 8
36.0 4 3 2 1
34.5 1 1
33.0 1 2
31.5 1 1 1
30.0 4 3 1 1
27.0 5 5
25.5 1 1
22.5 1 1
12.0 1 1
American Mathematics Competitions
2008 AMC 10 A Results for District of Columbia
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 1.97 0.00 5.12 84.65* 4.72 3.54 0.00
2 44.49* 17.72 26.38 1.18 1.97 8.27 0.00
3 79.53* 4.33 1.97 0.39 1.57 12.20 0.00
4 4.33 4.33 61.02* 4.72 4.33 21.26 0.00
5 5.51 34.65* 5.12 6.30 3.94 44.49 0.00
6 0.79 1.18 5.51 19.29* 50.00 23.23 0.00
7 44.09 3.94 3.15 2.36 18.50* 27.95 0.00
8 38.19* 7.48 1.97 35.83 0.79 15.75 0.00
9 1.57 29.92* 12.99 33.86 8.27 13.39 0.00
10 3.94 32.28 7.87 0.79 45.28* 9.45 0.39
11 6.30 3.15 5.12 67.72* 6.30 11.42 0.00
12 14.96 5.51 33.86* 12.20 5.12 27.95 0.39
13 11.81 31.10 13.39 27.17* 1.57 14.96 0.00
14 4.33 4.33 7.48 21.26* 5.91 56.69 0.00
15 3.15 2.36 26.38 22.83* 7.48 37.80 0.00
16 4.72 15.35* 6.30 12.99 7.87 52.76 0.00
17 7.87 13.78* 7.09 7.48 2.76 60.63 0.39
18 2.36 3.54* 3.94 6.69 3.94 79.53 0.00
19 3.54 5.51 11.02* 3.15 5.12 71.65 0.00
20 4.33 6.30 9.84 7.09* 2.36 70.08 0.00
21 14.57* 28.74 1.57 5.91 2.76 46.06 0.39
22 5.91 3.15 23.23 25.20* 9.45 32.68 0.39
23 6.30 5.12* 6.30 10.24 3.94 68.11 0.00
24 11.02 7.09 7.48 6.69* 6.69 61.02 0.00
25 1.97 2.76 6.30* 2.76 4.72 81.50 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 District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
132.0 1
117.0 1 1
114.0 1 1
108.0 1 1
106.5 1 1
105.0 1 1
103.5 1 1
102.0 1 1
100.5 1 2
99.0 3 1 2 1
97.5 2 2 1 3
96.0 1 1
94.5 4 2 8
93.0 3 1 4
91.5 3 1 1 1 3
90.0 3 2 1 2 2 1
88.5 3 1 2 1
87.0 2 1 2 2
85.5 3 1 1 4 1 1
84.0 4 5
82.5 1 4 5 1
81.0 6 4 7 5
79.5 1 2 1 2
78.0 4 3 4 3
76.5 6 5 1 4 7 1
75.0 6 2 2 4 2
73.5 5 1 1 3 1
72.0 7 4 4
70.5 4 10 1 7 6
69.0 5 3 8
67.5 2 2 4 3
66.0 2 2 1 3
64.5 2 2 2
63.0 6 1 1 5 1
61.5 1 2
60.0 3 3 5 1
58.5 3 1 4
57.0 5 2 4 3
55.5 1 1
54.0 3 3 1 4 1
52.5 2 5 5 4
51.0 3 3
49.5 2 2 4
48.0 2 4 1 5 1
46.5 3 2 1
45.0 3 1 1 1
43.5 1 1
42.0 1 1 1
40.5 1 2
39.0 1 2
37.5 12
36.0 1 1
34.5 1 1
21.0 1 1
American Mathematics Competitions
2008 AMC 12 A Results for District of Columbia
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 0.81 0.41 2.44 90.65* 0.81 4.88 0.00
2 89.84* 2.03 0.00 0.00 3.25 4.88 0.00
3 1.22 2.44 82.52* 3.25 2.03 8.54 0.00
4 2.44 54.07* 4.88 10.16 2.03 26.42 0.00
5 1.63 49.19* 8.54 29.27 5.69 5.69 0.00
6 63.82* 3.25 0.81 22.76 1.22 8.13 0.00
7 2.44 0.81 2.03 78.86* 6.10 9.76 0.00
8 4.47 2.03 71.54* 3.25 6.91 11.79 0.00
9 1.22 5.69 3.66 44.31* 4.07 41.06 0.00
10 8.54 18.70 9.35 48.37* 0.41 14.63 0.00
11 3.66 3.66 66.67* 2.03 3.66 20.33 0.00
12 12.20 39.02* 4.88 6.50 4.47 32.93 0.00
13 6.91 25.20* 3.66 8.13 9.35 46.75 0.00
14 10.98* 2.85 2.85 2.03 0.81 80.08 0.41
15 12.20 7.32 11.38 10.57* 6.10 52.44 0.00
16 2.03 1.63 2.44 10.57* 0.81 82.52 0.00
17 1.22 3.66 4.07 6.50* 5.69 78.86 0.00
18 0.41 0.81 5.28* 0.81 2.44 90.24 0.00
19 1.22 3.66 4.47* 2.44 3.25 84.96 0.00
20 0.41 1.22 1.63 1.63 2.44* 92.68 0.00
21 3.66 1.63 4.47 10.98* 4.07 75.20 0.00
22 2.03 2.03 2.03* 2.03 2.44 89.43 0.00
23 0.81 2.85 0.41 0.41* 0.00 95.53 0.00
24 0.81 6.10 4.07 1.63* 5.69 81.71 0.00
25 0.00 2.85 2.85 2.03* 0.81 91.46 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 10 B Results for District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
106.5 1 1
91.5 1 1
90.0 2 2
88.5 1 1
87.0 1 1
85.5 1 1 1
84.0 1 1 1 1
82.5 1 1
81.0 1 1
79.5 1 1
78.0 3 2 1
76.5 1 1
75.0 1 2 1 2
73.5 1 1
72.0 3 3
70.5 1 1
69.0 1 1 1 1
67.5 3 1 2
66.0 2 1 2 1
64.5 2 1 1
63.0 3 2 1
61.5 1 1 1
58.5 1 3 2 2
57.0 2 1 3 1
55.5 1 1 1 1
54.0 4 2 2
52.5 3 1 2
51.0 1 2 2 1
49.5 1 1
48.0 2 2
46.5 1 1
45.0 1 1
43.5 2 1 1
40.5 1 1 1 1
39.0 1 1
36.0 1 1
34.5 1 1
31.5 1 1
24.0 1 1
22.5 1 1
19.5 1 1
American Mathematics Competitions
2008 AMC 10 B Results for District of Columbia
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 3.95 1.32 1.32 17.11 72.37* 3.95 0.00
2 6.58 77.63* 10.53 0.00 2.63 2.63 0.00
3 21.05 3.95 9.21 23.68* 5.26 36.84 0.00
4 13.16 9.21 63.16* 0.00 1.32 11.84 1.32
5 46.05* 7.89 1.32 1.32 3.95 39.47 0.00
6 2.63 1.32 42.11* 18.42 7.89 27.63 0.00
7 9.21 7.89 65.79* 1.32 1.32 14.47 0.00
8 1.32 9.21 56.58* 11.84 5.26 15.79 0.00
9 9.21* 6.58 6.58 5.26 6.58 65.79 0.00
10 35.53* 7.89 2.63 2.63 9.21 42.11 0.00
11 2.63 10.53* 6.58 7.89 5.26 67.11 0.00
12 77.63* 5.26 1.32 2.63 5.26 7.89 0.00
13 25.00 3.95* 9.21 1.32 2.63 57.89 0.00
14 6.58 35.53* 2.63 7.89 1.32 46.05 0.00
15 6.58* 10.53 1.32 5.26 2.63 73.68 0.00
16 28.95* 23.68 1.32 6.58 5.26 34.21 0.00
17 11.84 2.63* 36.84 13.16 6.58 28.95 0.00
18 2.63 18.42* 11.84 6.58 1.32 59.21 0.00
19 2.63 2.63 6.58 14.47 2.63* 71.05 0.00
20 7.89 38.16* 9.21 9.21 1.32 34.21 0.00
21 13.16 7.89 6.58* 5.26 5.26 61.84 0.00
22 10.53 5.26 28.95* 11.84 6.58 36.84 0.00
23 13.16 5.26* 5.26 5.26 1.32 69.74 0.00
24 9.21 0.00 7.89* 11.84 15.79 55.26 0.00
25 15.79 15.79* 7.89 3.95 5.26 51.32 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 District of Columbia
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
96.0 1 1
93.0 1 1
90.0 1 1 1 1
87.0 1 1
85.5 2 1 1
82.5 1 1
81.0 4 1 3 2
76.5 1 1
75.0 2 2 2 2
73.5 2 2
72.0 3 2 2 3
70.5 1 3 3 1
66.0 1 1
64.5 1 1
63.0 3 2 2 3
61.5 3 3
60.0 1 1
58.5 2 1 2
57.0 1 1 2
55.5 4 1 3 1
54.0 2 2
52.5 1 2
51.0 2 2
49.5 1 1 2 1
48.0 1 3 1 3
46.5 1 3 1 2 1
45.0 1 1 2
43.5 1 1 2
42.0 2 2 3 1
39.0 1 1
37.5 1 1
36.0 1 1
34.5 1 1 2
33.0 1 1
30.0 1 1 2
28.5 1 1
27.0 1 1
American Mathematics Competitions
2008 AMC 12 B Results for District of Columbia
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 4.71 3.53 2.35 5.88 78.82* 4.71 0.00
2 4.71 71.76* 9.41 1.18 2.35 10.59 0.00
3 4.71 17.65 64.71* 0.00 3.53 9.41 0.00
4 2.35 5.88 4.71 52.94* 3.53 30.59 0.00
5 3.53 5.88 56.47* 10.59 4.71 18.82 0.00
6 71.76* 2.35 7.06 1.18 3.53 14.12 0.00
7 57.65* 3.53 0.00 2.35 7.06 29.41 0.00
8 4.71 4.71 43.53* 17.65 3.53 25.88 0.00
9 27.06* 4.71 4.71 5.88 3.53 54.12 0.00
10 2.35 29.41* 11.76 3.53 2.35 50.59 0.00
11 8.24* 9.41 4.71 8.24 17.65 51.76 0.00
12 24.71 7.06* 5.88 2.35 7.06 52.94 0.00
13 3.53 11.76* 4.71 3.53 0.00 76.47 0.00
14 3.53 7.06 22.35* 7.06 10.59 49.41 0.00
15 2.35 2.35 5.88* 4.71 8.24 76.47 0.00
16 14.12 9.41* 2.35 9.41 1.18 63.53 0.00
17 4.71 4.71 4.71* 3.53 3.53 78.82 0.00
18 2.35 5.88 3.53 5.88 2.35* 80.00 0.00
19 4.71 0.00* 3.53 7.06 1.18 83.53 0.00
20 15.29 14.12* 12.94 2.35 2.35 52.94 0.00
21 3.53 1.18 3.53 2.35 0.00* 89.41 0.00
22 10.59 7.06 1.18 9.41 9.41* 62.35 0.00
23 3.53* 2.35 2.35 2.35 3.53 85.88 0.00
24 2.35 5.88 3.53* 2.35 2.35 83.53 0.00
25 3.53 5.88* 5.88 4.71 1.18 78.82 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column