American Mathematics Competitions
2005 AMC 10 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 293
Number of unofficial participants: 0
Average score of participants: 80.9
Average score for female students is: 78.2 ( 161 Students)
Average score for male students is: 84.4 ( 123 Students)
Average score for unspecified gender is 81.4 ( 9 Students)
Average score for grade 10 is: 85.1 ( 121 Students)
Average score for grade 9 is: 77.4 ( 161 Students)
Average score for grade 8 and below is: 90.8 ( 7 Students)
Average score with unknown grade: 79.6 ( 4 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 6
Average school winning score 114.75
American Mathematics Competitions
2005 AMC 12 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 301
Number of unofficial participants: 0
Average score of participants: 87.8
Average score for female students is: 85.2 ( 90 Students)
Average score for male students is: 88.8 ( 197 Students)
Average score for unspecified gender is 91.0 ( 14 Students)
Average score for grade 12 is: 88.5 ( 144 Students)
Average score for grade 11 is: 87.0 ( 137 Students)
Average score for grade 10 is: 91.3 ( 17 Students)
Average score with unknown grade: 75.0 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 57
Number of schools returning results 7
Average school winning score 113.71
Average school team score 330.36
American Mathematics Competitions
2005 AMC 10 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 122
Number of unofficial participants: 0
Average score of participants: 70.0
Average score for female students is: 69.1 ( 59 Students)
Average score for male students is: 70.9 ( 63 Students)
Average score for grade 9 is: 68.9 ( 109 Students)
Average score for grade 8 and below is: 79.9 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 1
Average school winning score 113.00
American Mathematics Competitions
2005 AMC 12 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 7
Number of unofficial participants: 0
Average score of participants: 81.3
Average score for female students is: 70.3 ( 2 Students)
Average score for male students is: 86.8 ( 4 Students)
Average score for unspecified gender is 81.5 ( 1 Student)
Average score for grade 12 is: 63.3 ( 3 Students)
Average score for grade 11 is: 91.5 ( 1 Student)
Average score for grade 10 is: 95.8 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 1
Number of schools returning results 1
Average school winning score 121.50
Average school team score 297.50
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
355.5 1 1
349.5 1 2
349.0 1 3
337.5 1 4
313.0 1 5
310.0 1 6
298.0 1 7
297.5 1 8
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
131.0 1
129.0 1
124.0 1
122.0 1
121.5 1
119.5 1
118.5 2
117.0 1
116.0 1
115.0 1
113.5 1
113.0 1 1 1
112.5 1 1
112.0 1
111.0 1
110.5 1
110.0 2 1
109.0 1
108.5 2 1
108.0 3 1
107.5 2 1
106.5 5 3
106.0 2
105.5 5
105.0 2
104.5 5 1
104.0 1 1
103.0 4 1
102.5 1
102.0 8 2
101.5 1
101.0 5
100.5 2 5 1
100.0 1 1
99.5 7 1
99.0 1 1
98.5 7 4
98.0 1 2 1
97.5 5 2
97.0 4 1 1
96.5 1
96.0 11 7
95.5 1 7
95.0 16
94.5 3 5
94.0 3 1
93.5 3 7 1
93.0 1
92.5 9 1 1
92.0 2 3 1
91.5 5 1 2
91.0 2 5 1
90.5 6
90.0 6 6
89.5 3 3 1
89.0 9 5
88.5 3 1 3
88.0 2 5 3
87.5 3 7
87.0 3 1
86.5 6 10 2
86.0 2
85.5 4 4 1
85.0 1
84.5 4 1 4
84.0 4 6 3
83.5 5 2
83.0 4 4
82.5 1 4
82.0 3 3
81.5 1 2 5 5
81.0 2 3
80.5 9 2 1
80.0 1 1 1
79.5 4 2
79.0 3 9
78.5 3 3 2
78.0 3 3 1
77.5 5 1
77.0 8 6 4
76.5 1
76.0 5 6
75.5 1 4 1
75.0 4 2 3
74.5 2 5 3
74.0 1 4 2
73.5 3 1 3
73.0 2 4
72.5 1 4 1
72.0 2 2 2
71.5 3 2 1
71.0 2 3 2
70.5 3 3 3
70.0 4 3
69.5 2 4 1
69.0 4 3
68.5 2 3 3
68.0 1 3
67.5 1 4 3
67.0 2 1
66.5 3 1
66.0 1 3 3
65.5 1
65.0 3 4 1
64.5 1 1 1
64.0 1 2
63.5 1 2 1
62.5 3 2 1
61.5 1 4
61.0 1 4 5
60.5 1 1
60.0 1 1 1
58.5 1
58.0 1 1
57.5 3 1
57.0 1 1
56.5 2 2
56.0 1 3 1
55.0 1
54.0 2 4
53.5 1 1
53.0 1 3
52.5 1
52.0 1
51.5 2 2
51.0 1
50.5 1
50.0 1 1
49.0 1
48.5 1
48.0 2 1 1
47.5 2
47.0 1 1
46.0 1
45.5 1
42.5 1 1
42.0 1
38.5 1
38.0 1
35.0 1
34.5 1
32.5 1
31.5 1
28.5 1
24.0 1 1
American Mathematics Competitions
2005 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 1
149.0 124.0 99.0 1
148.5 123.5 98.5 2 2
148.0 123.0 98.0 2
147.5 122.5 97.5 2
147.0 122.0 97.0 1
146.5 121.5 96.5 1
146.0 121.0 96.0 4 3
145.5 120.5 95.5 3 4
145.0 120.0 95.0
144.5 119.5 94.5 3 2
144.0 119.0 94.0 1
143.5 118.5 93.5 4 3
143.0 118.0 93.0 1
142.5 117.5 92.5 1
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5 2
141.0 116.0 91.0 3 2
140.5 115.5 90.5
140.0 115.0 90.0 4 2
139.5 114.5 89.5 2 1
139.0 114.0 89.0 2 3
138.5 113.5 88.5 1
138.0 113.0 1 88.0 4 1
137.5 112.5 1 87.5 3 4
137.0 112.0 1 87.0
136.5 111.5 86.5 4 6
136.0 111.0 86.0 1 1
135.5 110.5 1 85.5 2 2
135.0 110.0 1 85.0
134.5 109.5 84.5 2 2
134.0 109.0 84.0 4 2
133.5 108.5 83.5 1 1
133.0 108.0 83.0 3 1
132.5 107.5 1 82.5 3 1
132.0 107.0 82.0 1 2
131.5 106.5 2 1 81.5 3
131.0 1 106.0 2 81.0 3
130.5 105.5 80.5 2
130.0 105.0 1 1 80.0 1
129.5 104.5 1 79.5 1 1
129.0 1 104.0 79.0 3 4
128.5 103.5 78.5 1 2
128.0 103.0 1 78.0 3
127.5 102.5 1 77.5 1
127.0 102.0 1 1 77.0 2 4
126.5 101.5 1 76.5 1
126.0 101.0 76.0 2 4
125.5 100.5 4 1 75.5 2 2
American Mathematics Competitions
2005 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 1 25.0
74.5 4 1 49.5 24.5
74.0 3 1 49.0 24.0 1
73.5 1 48.5 23.5
73.0 4 48.0 1 23.0
72.5 4 47.5 22.5
72.0 1 1 47.0 1 22.0
71.5 2 46.5 21.5
71.0 2 1 46.0 21.0
70.5 3 45.5 1 20.5
70.0 45.0 20.0
69.5 3 44.5 19.5
69.0 1 3 44.0 19.0
68.5 1 2 43.5 18.5
68.0 1 43.0 18.0
67.5 1 3 42.5 1 17.5
67.0 2 42.0 17.0
66.5 2 1 41.5 16.5
66.0 2 41.0 16.0
65.5 1 40.5 15.5
65.0 4 40.0 15.0
64.5 1 39.5 14.5
64.0 1 39.0 14.0
63.5 1 38.5 13.5
63.0 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 2 2 36.0 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 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 3 32.5 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 1 2 31.0 6.0
55.5 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 2 2 29.0 4.0
53.5 1 28.5 1 3.5
53.0 3 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 2 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
131.0 1
129.0 1
117.0 1
113.0 1
112.5 1
112.0 1
110.5 1
110.0 1
108.5 1
107.5 1
106.5 1 2
106.0 1 1
105.0 1 1
104.5 1
104.0 1
103.0 1
102.5 1
102.0 1 1
101.5 1
100.5 2 3
100.0 1
99.5 1
99.0 1
98.5 3 1
98.0 2
97.5 2
97.0 1
96.5 1
96.0 1 3 3
95.5 4 3
94.5 3 1 1
94.0 1
93.5 2 5
93.0 1
92.5 1
92.0 2 1
91.5 1 1
91.0 2 3
90.0 3 3
89.5 1 1 1
89.0 5
88.5 1
88.0 1 4
87.5 4 3
86.5 6 4
86.0 2
85.5 3 1
84.5 1 3
84.0 1 2 3
83.5 1 1
83.0 1 1 2
82.5 3 1
82.0 1 2
81.5 3 1 1
81.0 2 1
80.5 2
80.0 1
79.5 2
79.0 5 3 1
78.5 2 1
78.0 3
77.5 1
77.0 1 3 2
76.5 1
76.0 3 3
75.5 1 3
75.0 1 1
74.5 2 3
74.0 2 2
73.5 1
73.0 2 2
72.5 3 1
72.0 1 1
71.5 1 1
71.0 2 1
70.5 3
69.5 2 2
69.0 3 1
68.5 2 1
68.0 1
67.5 4
67.0 1 1
66.5 1 2
66.0 3
65.5 1
65.0 3 1
64.5 1
64.0 1
63.5 1 1
62.5 2
61.0 4
60.5 1
60.0 1
58.5 1
58.0 1
57.5 3
57.0 1
56.5 1 1
56.0 2 1
54.0 4
53.5 1
53.0 2 1
51.5 1 1
50.0 1
48.0 1
47.0 1
45.5 1
42.5 1
38.0 1
28.5 1
24.0 1
American Mathematics Competitions
2005 AMC 10 A Results for District of Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.10 0.14 9.45* 0.24 0.07 0.00
2 0.10 0.17 7.51* 0.17 1.37 0.68 0.00
3 0.07 8.94* 0.31 0.31 0.07 0.31 0.00
4 0.27 3.45* 1.26 0.55 0.61 3.82 0.03
5 7.17* 0.20 2.53 0.03 0.00 0.07 0.00
6 0.17 5.73* 2.59 0.20 0.20 1.09 0.00
7 0.58 4.98* 0.17 0.38 0.68 3.21 0.00
8 0.78 0.17 6.45* 0.10 0.10 2.39 0.00
9 1.09 6.45* 0.82 0.17 0.07 1.40 0.00
10 2.80* 0.48 0.99 0.20 0.27 5.26 0.00
11 0.55 2.63* 0.24 0.65 0.07 5.87 0.00
12 0.31 1.64* 0.61 0.07 0.78 6.55 0.03
13 1.84 0.65 0.20 0.31 1.13* 5.87 0.00
14 1.43 0.51 0.31 0.38 3.48* 3.89 0.00
15 0.55 0.89 0.85 1.60 1.13* 4.98 0.00
16 0.75 0.14 1.06 3.31* 0.14 4.61 0.00
17 0.10 0.20 0.65 2.80* 0.27 5.97 0.00
18 1.02* 2.59 1.09 3.65 0.07 1.57 0.00
19 0.20 0.78 0.68 5.09* 0.55 2.70 0.00
20 0.72* 0.34 0.44 0.38 0.41 7.71 0.00
21 1.74 1.02* 0.10 0.34 0.55 6.25 0.00
22 0.72 0.51 0.38 3.07* 0.61 4.71 0.00
23 0.31 0.65 1.23* 1.13 0.61 6.08 0.00
24 0.96 1.37* 0.27 0.07 0.27 7.06 0.00
25 0.24 0.68 0.65 0.78* 0.03 7.61 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
2005 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 6 1
149.0 124.0 1 99.0
148.5 123.5 98.5 6 1
148.0 123.0 98.0 1
147.5 122.5 97.5 2 3
147.0 122.0 1 97.0 3 1
146.5 121.5 96.5
146.0 121.0 96.0 5 5
145.5 120.5 95.5 1
145.0 120.0 95.0 12 2
144.5 119.5 1 94.5 1 1
144.0 119.0 94.0 2
143.5 118.5 1 1 93.5 3
143.0 118.0 93.0
142.5 117.5 92.5 6 3
142.0 117.0 92.0 2
141.5 116.5 91.5 1 3
141.0 116.0 1 91.0 2
140.5 115.5 90.5 4 2
140.0 115.0 1 90.0 6
139.5 114.5 89.5 2 1
139.0 114.0 89.0 7 2
138.5 113.5 1 88.5 2 1
138.0 113.0 1 88.0 1 1
137.5 112.5 1 87.5 2 1
137.0 112.0 87.0 3
136.5 111.5 86.5 6
136.0 111.0 86.0
135.5 110.5 85.5 2 2
135.0 110.0 2 85.0
134.5 109.5 84.5 3
134.0 109.0 1 84.0 2 2
133.5 108.5 1 83.5 1 4
133.0 108.0 1 2 83.0 4
132.5 107.5 2 82.5 1
132.0 107.0 82.0 2
131.5 106.5 5 81.5 1
131.0 106.0 81.0 1
130.5 105.5 2 2 80.5 4 5
130.0 105.0 80.0 1
129.5 104.5 3 2 79.5 2 2
129.0 104.0 1 79.0 1 2
128.5 103.5 78.5 2 1
128.0 103.0 2 2 78.0 1 2
127.5 102.5 77.5 4 1
127.0 102.0 7 1 77.0 6 2
126.5 101.5 76.5
126.0 101.0 3 2 76.0 5
125.5 100.5 1 1 75.5 1
American Mathematics Competitions
2005 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 50.0 25.0
74.5 1 1 49.5 24.5
74.0 1 49.0 24.0
73.5 2 48.5 23.5
73.0 1 1 48.0 2 23.0
72.5 1 47.5 22.5
72.0 2 47.0 22.0
71.5 2 1 46.5 21.5
71.0 2 46.0 21.0
70.5 2 1 45.5 20.5
70.0 3 1 45.0 20.0
69.5 2 44.5 19.5
69.0 44.0 19.0
68.5 1 1 43.5 18.5
68.0 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 1 17.0
66.5 41.5 16.5
66.0 1 41.0 16.0
65.5 40.5 15.5
65.0 2 1 40.0 15.0
64.5 1 39.5 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 38.0 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 1 36.5 11.5
61.0 1 36.0 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 1 33.0 8.0
57.5 32.5 1 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 1 1 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 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
124.0 1
122.0 1
119.5 1
118.5 1 1
116.0 1
115.0 1
113.5 1
113.0 1
112.5 1
111.0 1
110.0 1 1
109.0 1
108.5 2
108.0 2 1
107.5 1 1
106.5 1 4
105.5 1 4
104.5 1 4
104.0 1
103.0 3 1
102.0 6 2
101.0 2 3
100.5 1 1
100.0 1
99.5 4 3
98.5 3 4
98.0 1
97.5 3 2
97.0 1 3
96.0 7 4
95.5 1
95.0 2 6 8
94.5 1 1 1
94.0 1 2
93.5 2 1
92.5 1 3 5
92.0 1 1
91.5 1 3 1
91.0 2
90.5 3 3
90.0 4 2
89.5 1 2
89.0 1 2 6
88.5 2 1
88.0 2
87.5 3
87.0 3
86.5 1 2 3
85.5 2 2
84.5 4
84.0 3 1
83.5 4 1
83.0 1 1 2
82.5 1
82.0 1 1 1
81.5 1
81.0 2
80.5 1 4 4
80.0 1
79.5 3 1
79.0 2 1
78.5 1 1 1
78.0 1 2
77.5 4 1
77.0 2 6
76.0 1 1 3
75.5 1
75.0 1 3
74.5 1 1
74.0 1
73.5 2 1
73.0 1 1
72.5 1
72.0 2
71.5 2 1
71.0 1 1
70.5 1 2
70.0 2 2
69.5 2
68.5 2
67.5 1
66.0 1
65.0 3
64.5 1
63.5 1
62.5 2 1
61.5 1
61.0 1
60.0 1
58.0 1
55.0 1
54.0 1 1
53.5 1
53.0 1
48.0 1 1
42.0 1
32.5 1
American Mathematics Competitions
2005 AMC 12 A Results for District of Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.07 0.00 9.80* 0.00 0.13 0.00
2 0.00 9.73* 0.07 0.10 0.00 0.10 0.00
3 0.27 7.34* 0.33 0.17 0.33 1.56 0.00
4 7.94* 0.07 1.73 0.07 0.00 0.20 0.00
5 0.27 8.77* 0.53 0.03 0.00 0.40 0.00
6 0.17 6.81* 0.27 0.13 0.63 1.99 0.00
7 0.30 0.13 8.57* 0.00 0.03 0.96 0.00
8 0.43 0.40 0.33 2.82* 0.30 5.71 0.00
9 6.01* 0.27 0.80 0.20 0.17 2.56 0.00
10 0.20 4.72* 0.27 0.53 0.03 4.25 0.00
11 1.69 0.27 0.30 0.27 3.99* 3.49 0.00
12 0.86 0.23 0.13 4.68* 0.96 3.09 0.03
13 0.10 0.07 0.23 3.36* 0.07 6.18 0.00
14 0.13 0.27 3.36 1.83* 0.33 4.09 0.00
15 0.20 0.40 1.40* 0.73 0.80 6.48 0.00
16 0.17 0.20 0.96 0.86* 0.20 7.61 0.00
17 1.83* 0.53 1.10 0.17 0.30 6.08 0.00
18 0.43* 0.20 0.13 0.23 0.13 8.87 0.00
19 1.10 2.76* 0.53 0.30 0.30 5.02 0.00
20 0.43 0.10 0.17 0.13 0.10* 9.07 0.00
21 0.20 0.53 0.43* 0.13 0.00 8.70 0.00
22 0.17 0.33* 0.27 0.10 0.17 8.97 0.00
23 0.23 0.60* 0.17 0.33 0.40 8.27 0.00
24 0.07 0.17* 0.17 0.27 0.03 9.30 0.00
25 0.20 0.13 0.10* 0.17 0.07 9.34 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
2005 AMC 10 B Results for District of Columbia
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 1
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 1
146.5 121.5 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 1
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 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
139.5 114.5 89.5 1
139.0 114.0 89.0
138.5 113.5 88.5 1 2
138.0 113.0 1 88.0 1 2
137.5 112.5 87.5
137.0 112.0 87.0 1
136.5 111.5 86.5 1 1
136.0 111.0 86.0
135.5 110.5 85.5 1
135.0 110.0 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 3
133.5 108.5 83.5
133.0 108.0 1 83.0
132.5 107.5 82.5
132.0 107.0 82.0
131.5 106.5 81.5 3 2
131.0 106.0 81.0
130.5 105.5 80.5 1
130.0 105.0 80.0 1
129.5 104.5 79.5
129.0 104.0 79.0
128.5 103.5 78.5 1 1
128.0 103.0 78.0 1
127.5 102.5 77.5
127.0 102.0 77.0 1 3
126.5 101.5 76.5
126.0 101.0 76.0
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 10 B Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 1 25.0
74.5 2 1 49.5 24.5
74.0 1 1 49.0 1 24.0 1
73.5 3 48.5 1 23.5
73.0 48.0 1 23.0
72.5 1 47.5 1 1 22.5
72.0 2 47.0 1 22.0
71.5 1 46.5 21.5
71.0 1 1 46.0 1 21.0
70.5 1 2 45.5 20.5
70.0 3 45.0 20.0
69.5 1 44.5 19.5
69.0 2 1 44.0 19.0
68.5 2 1 43.5 18.5
68.0 3 43.0 18.0
67.5 1 2 42.5 1 17.5
67.0 1 42.0 17.0
66.5 1 41.5 16.5
66.0 1 2 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 15.0
64.5 1 39.5 14.5
64.0 1 1 39.0 14.0
63.5 1 38.5 1 13.5
63.0 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 2 2 36.5 11.5
61.0 3 2 36.0 11.0
60.5 1 35.5 10.5
60.0 1 35.0 1 10.0
59.5 34.5 1 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 1 1 31.5 1 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 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 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
2005 AMC 10 B Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
113.0 1
108.0 1
100.5 1
99.0 1
98.0 1
97.0 1
93.5 1
92.5 1
92.0 1
91.0 1
89.5 1
88.5 1 2
88.0 3
87.0 1
86.5 2
85.5 1
85.0 1
84.0 1 2
81.5 1 4
80.5 1
80.0 1
78.5 2
78.0 1
77.0 1 3
75.5 1
75.0 3
74.5 1 2
74.0 2
73.5 3
72.5 1
72.0 2
71.5 1
71.0 2
70.5 3
70.0 1 2
69.5 1
69.0 3
68.5 1 2
68.0 3
67.5 3
67.0 1
66.5 1
66.0 1 2
65.0 1
64.5 1
64.0 2
63.5 1
62.5 1
61.5 1 3
61.0 5
60.5 1
60.0 1
57.5 1
57.0 1
56.5 2
56.0 1
52.0 1
51.5 2
51.0 1
50.5 1
50.0 1
49.0 1
48.5 1
48.0 1
47.5 2
47.0 1
46.0 1
42.5 1
38.5 1
35.0 1
34.5 1
31.5 1
24.0 1
American Mathematics Competitions
2005 AMC 10 B Results for District of Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 7.95* 0.33 0.82 0.16 0.57 0.16 0.00
2 0.08 0.41 0.33 7.54* 0.33 1.31 0.00
3 0.00 1.23 3.28 3.69* 1.07 0.74 0.00
4 1.07 0.16 0.82 2.79* 0.16 5.00 0.00
5 0.41 0.00 7.62* 0.25 0.98 0.74 0.00
6 0.08 7.62* 0.08 0.41 0.57 1.23 0.00
7 0.41 0.57* 0.41 0.90 0.74 6.97 0.00
8 3.28* 0.49 1.39 0.08 0.16 4.59 0.00
9 0.57 0.33 2.70 4.34* 0.98 1.07 0.00
10 1.07* 1.07 1.07 0.16 0.57 6.07 0.00
11 0.41 0.98 0.16 1.56 0.82* 6.07 0.00
12 1.15 1.15 0.41 0.08 0.33* 6.89 0.00
13 0.33 1.15 1.48* 1.39 0.41 5.25 0.00
14 0.33 0.33 2.05* 1.89 0.57 4.84 0.00
15 1.31 0.41 0.98 3.85* 0.49 2.95 0.00
16 0.98 0.41 0.66 0.25* 0.00 7.70 0.00
17 1.07 2.13* 0.90 0.74 0.25 4.92 0.00
18 0.41 4.51 0.90 1.56* 0.90 1.72 0.00
19 0.49 5.16* 0.25 0.66 0.49 2.95 0.00
20 0.98 0.08 1.15* 0.49 0.08 7.21 0.00
21 0.41* 0.16 0.41 0.16 0.00 8.85 0.00
22 0.74 0.74 0.25* 0.25 0.08 7.95 0.00
23 3.44 0.49 0.25* 0.16 0.33 5.33 0.00
24 0.33 0.33 0.08 0.25 0.49* 8.52 0.00
25 0.25 0.49 1.64* 0.08 0.25 7.30 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
2005 AMC 12 B Results for District of Columbia
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
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
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
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 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
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5
132.0 107.0 82.0
131.5 106.5 81.5 1
131.0 106.0 81.0
130.5 105.5 80.5
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 79.0
128.5 103.5 78.5
128.0 103.0 78.0
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 76.5
126.0 101.0 76.0
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 12 B Results for District of Columbia
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 49.5 24.5
74.0 49.0 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 47.5 22.5
72.0 47.0 22.0
71.5 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 30.0 5.0
54.5 29.5 4.5
54.0 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
121.5 1
91.5 1
84.5 1
81.5 1 1
56.0 1
52.5 1
American Mathematics Competitions
2005 AMC 12 B Results for District of Columbia
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 7.14* 1.43 0.00 0.00 1.43 0.00 0.00
2 0.00 0.00 0.00 10.00* 0.00 0.00 0.00
3 0.00 0.00 8.57* 0.00 1.43 0.00 0.00
4 0.00 8.57* 0.00 0.00 1.43 0.00 0.00
5 8.57* 0.00 1.43 0.00 0.00 0.00 0.00
6 2.86* 2.86 1.43 0.00 0.00 2.86 0.00
7 0.00 1.43 0.00 2.86* 1.43 4.29 0.00
8 1.43 0.00 4.29* 0.00 2.86 1.43 0.00
9 0.00 8.57* 0.00 0.00 0.00 1.43 0.00
10 0.00 0.00 0.00 4.29 4.29* 1.43 0.00
11 1.43 1.43 0.00 4.29* 0.00 2.86 0.00
12 0.00 2.86 2.86 1.43* 0.00 2.86 0.00
13 0.00 0.00 0.00 2.86* 1.43 5.71 0.00
14 1.43 0.00 1.43 0.00 1.43* 5.71 0.00
15 1.43 1.43 0.00 2.86* 1.43 2.86 0.00
16 0.00 0.00 0.00 1.43* 0.00 8.57 0.00
17 0.00 1.43* 0.00 0.00 2.86 5.71 0.00
18 0.00 0.00 0.00* 0.00 1.43 8.57 0.00
19 0.00 0.00 1.43 0.00 2.86* 5.71 0.00
20 0.00 1.43 2.86* 1.43 0.00 4.29 0.00
21 0.00 1.43 2.86* 0.00 0.00 5.71 0.00
22 0.00 0.00 0.00 1.43 0.00* 8.57 0.00
23 0.00 1.43* 0.00 0.00 0.00 8.57 0.00
24 0.00* 0.00 0.00 1.43 0.00 8.57 0.00
25 0.00* 0.00 0.00 0.00 0.00 10.00 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column