American Mathematics Competitions
2006 AMC 10 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 379
Number of unofficial participants: 0
Average score of participants: 77.9
Average score for female students is: 74.4 ( 183 Students)
Average score for male students is: 80.8 ( 169 Students)
Average score for unspecified gender is 83.2 ( 27 Students)
Average score for grade 10 is: 81.9 ( 137 Students)
Average score for grade 9 is: 74.4 ( 210 Students)
Average score for grade 8 and below is: 87.0 ( 12 Students)
Average score with unknown grade: 80.9 ( 20 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 8
Average school winning score 109.69
American Mathematics Competitions
2006 AMC 12 A Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 286
Number of unofficial participants: 0
Average score of participants: 87.5
Average score for female students is: 84.2 ( 110 Students)
Average score for male students is: 90.2 ( 159 Students)
Average score for unspecified gender is 84.1 ( 17 Students)
Average score for grade 12 is: 90.8 ( 108 Students)
Average score for grade 11 is: 86.3 ( 145 Students)
Average score for grade 10 is: 81.8 ( 28 Students)
Average score for grade 9 is: 112.5 ( 1 Student)
Average score with unknown grade: 78.9 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 69
Number of schools returning results 8
Average school winning score 115.50
Average school team score 331.63
American Mathematics Competitions
2006 AMC 10 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 75
Number of unofficial participants: 0
Average score of participants: 74.9
Average score for female students is: 71.0 ( 29 Students)
Average score for male students is: 79.4 ( 44 Students)
Average score for unspecified gender is 32.0 ( 2 Students)
Average score for grade 10 is: 69.4 ( 36 Students)
Average score for grade 9 is: 81.1 ( 38 Students)
Average score with unknown grade: 38.5 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 3
Average school winning score 80.17
American Mathematics Competitions
2006 AMC 12 B Results for District of Columbia
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 43
Number of unofficial participants: 0
Average score of participants: 89.3
Average score for female students is: 86.7 ( 18 Students)
Average score for male students is: 92.1 ( 23 Students)
Average score for unspecified gender is 80.5 ( 2 Students)
Average score for grade 12 is: 93.4 ( 20 Students)
Average score for grade 11 is: 85.1 ( 22 Students)
Average score with unknown grade: 98.5 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 18
Number of schools returning results 3
Average school winning score 87.83
Average school team score 251.00
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
370.5 1 1
362.5 1 2
356.5 1 3
347.0 1 4
338.5 1 5
337.5 1 6
331.5 1 7
316.5 1 8
249.0 1 9
218.5 1 10
178.0 1 11
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
130.0 1
129.0 1
125.5 1
122.0 3
120.5 1
119.5 1 2 1
118.5 1 2
118.0 1
117.0 1 3
116.0 4 3 1
115.5 1
115.0 1
114.5 1
114.0 1
113.5 1 3
112.5 7 1
111.5 1
111.0 1
110.0 2 2
109.5 2
109.0 10 2
108.5 1
108.0 2 2
107.5 1 1 1
106.5 3 1 3
105.5 5 1 1
105.0 1 3
104.5 2
104.0 3 1 3
103.0 5 2 2 2
102.5 2 2
102.0 3 2
101.5 1 7
101.0 2 2
100.5 7 2 2 2
99.5 8 1 2 1
99.0 4
98.5 2 2 2
98.0 2 2 3
97.5 1
97.0 5 2 1
96.5 1 2
96.0 6 1 2
95.5 2 5
95.0 3 4
94.5 10 1 2 1
94.0 1
93.5 12 3 2
93.0 2 2
92.5 2 6
92.0 4 5
91.5 1 1 2
91.0 3 3 1
90.5 2
90.0 3 2 4 1
89.5 4
89.0 1 1
88.5 6 1 8 2
88.0 1 2
87.5 2 3 1
87.0 2 1
86.5 5 4
86.0 3 2
85.5 1 3
85.0 5 6 1
84.5 2 6
84.0 3 7 3
83.5 1 4 1
83.0 5 1
82.5 5 5
82.0 1 1
81.5 7 1 5 2
81.0 6 6
80.5 4 6
80.0 1 7 1
79.5 2 7 1
79.0 7 4 2
78.5 3
78.0 4 6
77.5 1 3 1
77.0 3 1
76.5 3 3 2
76.0 3 1
75.5 4 2 3
75.0 1 2
74.5 2 4 1
74.0 4 3 2
73.5 6
73.0 3 6
72.5 4
72.0 4 5 1
71.5 1 2 1
71.0 1 7
70.5 2 1
70.0 1 1 4 1
69.5 3 5 1
69.0 1 3
68.5 1 6 1
68.0 3 4
67.5 1
67.0 3 1 8 2
66.5 2 2
66.0 3 7
65.5 3
65.0 1 7
64.5 1
64.0 1 2
63.5 5
63.0 1 3
62.5 1 1 6 1
62.0 1 2 1
61.5 1 1
61.0 2
60.5 1 1
60.0 4 1
59.5 2
59.0 2 2
58.5 2 1
58.0 1 4
57.5 1 1 3 1
57.0 1 1
56.5 3
56.0 1 1
55.5 2
55.0 3 1
54.5 2 3
54.0 3 4
53.5 1
53.0 2
52.5 2
52.0 2
51.5 2
51.0 1 1
50.0 1
49.5 1 1
49.0 2 2
48.0 3
47.0 1 1
46.5 2
46.0 1
45.5 1
44.5 1 1 1
44.0 1 1
43.5 1
43.0 1 1
42.0 3
41.5 1 1
41.0 2
38.5 1
38.0 1 1
37.0 1
36.0 2
34.0 1 1
33.0 1
32.5 1
31.0 1
28.0 1
25.5 1
24.5 1
19.5 1
18.5 1
American Mathematics Competitions
2006 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
149.5 124.5 99.5 2
149.0 124.0 99.0 2 2
148.5 123.5 98.5 1 1
148.0 123.0 98.0 2 1
147.5 122.5 97.5 1
147.0 122.0 97.0 1 1
146.5 121.5 96.5 1
146.0 121.0 96.0 2
145.5 120.5 1 95.5 2 2
145.0 120.0 95.0 2 2
144.5 119.5 2 94.5 1
144.0 119.0 94.0
143.5 118.5 93.5 2 1
143.0 118.0 93.0 2
142.5 117.5 92.5 2 3
142.0 117.0 92.0 2 2
141.5 116.5 91.5 1
141.0 116.0 1 91.0 1 1
140.5 115.5 90.5
140.0 115.0 90.0 1 3
139.5 114.5 1 89.5 2 2
139.0 114.0 1 89.0 1
138.5 113.5 2 1 88.5 5 2
138.0 113.0 88.0 2
137.5 112.5 87.5 2 1
137.0 112.0 87.0 2
136.5 111.5 86.5 1 2
136.0 111.0 1 86.0 1
135.5 110.5 85.5 2
135.0 110.0 2 85.0 4 2
134.5 109.5 2 84.5 2 4
134.0 109.0 1 1 84.0 5 1
133.5 108.5 1 83.5 3
133.0 108.0 83.0 1
132.5 107.5 1 82.5 2 3
132.0 107.0 82.0
131.5 106.5 1 81.5 1 4
131.0 106.0 81.0 2 2
130.5 105.5 1 80.5 2 4
130.0 105.0 2 1 80.0 4 3
129.5 104.5 79.5 4 3
129.0 104.0 3 79.0 3
128.5 103.5 78.5 2 1
128.0 103.0 2 78.0 3 3
127.5 102.5 1 1 77.5 2 1
127.0 102.0 1 1 77.0 1
126.5 101.5 2 2 76.5 2 1
126.0 101.0 76.0 1
125.5 100.5 1 1 75.5 1 1
American Mathematics Competitions
2006 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 1 1 50.0 1 25.0
74.5 4 49.5 24.5
74.0 2 1 49.0 1 1 24.0
73.5 3 3 48.5 23.5
73.0 6 48.0 1 2 23.0
72.5 2 2 47.5 22.5
72.0 4 1 47.0 22.0
71.5 2 46.5 1 1 21.5
71.0 3 4 46.0 1 21.0
70.5 1 45.5 20.5
70.0 3 45.0 20.0
69.5 3 2 44.5 1 19.5
69.0 2 1 44.0 1 19.0
68.5 2 4 43.5 1 18.5
68.0 4 43.0 18.0
67.5 1 42.5 17.5
67.0 2 4 42.0 2 1 17.0
66.5 1 1 41.5 1 16.5
66.0 4 3 41.0 1 16.0
65.5 3 40.5 15.5
65.0 4 3 40.0 15.0
64.5 1 39.5 14.5
64.0 2 39.0 14.0
63.5 2 3 38.5 13.5
63.0 2 38.0 1 13.0
62.5 1 5 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 1 1 11.0
60.5 1 35.5 10.5
60.0 1 3 35.0 10.0
59.5 2 34.5 9.5
59.0 1 1 34.0 1 9.0
58.5 2 33.5 8.5
58.0 2 1 33.0 8.0
57.5 3 32.5 1 7.5
57.0 1 32.0 7.0
56.5 3 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 1 2 29.5 4.5
54.0 2 2 29.0 4.0
53.5 1 28.5 3.5
53.0 2 28.0 1 3.0
52.5 1 1 27.5 2.5
52.0 1 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
2006 AMC 10 A Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
120.5 1
119.5 1 1
116.0 1
115.5 1
114.5 1
114.0 1
113.5 2 1
111.0 1
110.0 1 1
109.5 1 1
109.0 1 1
108.5 1
107.5 1
106.5 1
105.5 1
105.0 2 1
104.0 3
103.0 2
102.5 2
102.0 1 1
101.5 2 4 1
100.5 1 1
99.5 2
99.0 1 3
98.5 2
98.0 3
97.5 1
97.0 1 1
96.5 1 1
96.0 2
95.5 4 1
95.0 2 2
94.5 1 1
93.5 1 1 1
93.0 1 1
92.5 1 3 1 1
92.0 3 1 1
91.5 2
91.0 2 1
90.0 4
89.5 1 2 1
89.0 1
88.5 6 1 1
88.0 1 1
87.5 2 1
87.0 2
86.5 2 1 1
86.0 1 1
85.5 1 1 1
85.0 1 2 3
84.5 2 4
84.0 2 4 1
83.5 3 1
83.0 1
82.5 3 2
81.5 3 2
81.0 4 1 1
80.5 1 3 2
80.0 1 4 2
79.5 4 3
79.0 1 3
78.5 2 1
78.0 3 3
77.5 2 1
77.0 1
76.5 3
76.0 1
75.5 1 1
75.0 2
74.5 2 2
74.0 1 2
73.5 4 2
73.0 5 1
72.5 3 1
72.0 2 3
71.5 2
71.0 5 2
70.5 1
70.0 3 1
69.5 5
69.0 1 2
68.5 4 2
68.0 1 3
67.5 1
67.0 3 3 2
66.5 1 1
66.0 1 6
65.5 1 2
65.0 1 4 2
64.5 1
64.0 2
63.5 2 3
63.0 2 1
62.5 6
62.0 2
61.5 1
60.5 1
60.0 2 2
59.5 2
59.0 2
58.5 2
58.0 4
57.5 1 2
57.0 1
56.5 1 2
55.0 1
54.5 3
54.0 2 2
53.5 1
53.0 2
52.5 1 1
52.0 1 1
50.0 1
49.0 2
48.0 3
46.5 2
46.0 1
44.5 1
44.0 1
43.5 1
42.0 2 1
41.5 1
41.0 1 1
38.0 1
36.0 2
34.0 1
32.5 1
28.0 1
American Mathematics Competitions
2006 AMC 10 A Results for District of Columbia
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 9.97* 0.00 0.03 0.00 0.00 0.00 0.00
2 1.45 0.29 3.19* 0.26 1.90 2.90 0.00
3 0.03 8.71* 0.08 0.11 1.06 0.03 0.00
4 2.14 0.08 0.11 0.03 7.26* 0.37 0.03
5 0.11 1.16 1.24 6.89* 0.24 0.37 0.00
6 0.16 8.44* 0.37 0.05 0.13 0.84 0.00
7 6.99* 0.05 0.37 0.50 0.47 1.61 0.00
8 0.98 0.32 0.47 0.24 1.87* 6.12 0.00
9 1.56 1.90 5.51* 0.32 0.16 0.55 0.00
10 0.37 0.16 0.79 3.51 0.90* 4.27 0.00
11 1.85 1.45 1.64* 0.53 0.90 3.64 0.00
12 0.69 0.42 4.99* 1.08 0.21 2.61 0.00
13 0.29 1.16 0.26 5.44* 0.11 2.74 0.00
14 1.69 3.75* 0.26 1.21 0.84 2.24 0.00
15 0.77 0.55 0.26 1.16* 0.55 6.70 0.00
16 0.45 0.26 0.45 0.32* 0.77 7.76 0.00
17 1.85* 0.47 0.18 0.61 0.34 6.54 0.00
18 2.01 0.16 2.56* 0.37 0.26 4.64 0.00
19 0.69 1.95 0.79* 0.18 0.21 6.15 0.03
20 0.58 1.00 0.47 0.45 0.74* 6.75 0.00
21 0.90 0.61 0.24 0.71 1.06* 6.49 0.00
22 0.18 0.92 3.64* 2.74 0.82 1.69 0.00
23 0.45 1.50* 0.21 0.24 0.55 7.04 0.00
24 0.84 0.34* 0.40 0.21 0.21 7.99 0.00
25 2.16 0.74 0.42* 0.61 0.47 5.59 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 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 3 5
149.0 124.0 99.0
148.5 123.5 98.5 2
148.0 123.0 98.0 1 1
147.5 122.5 97.5
147.0 122.0 3 97.0 4 1
146.5 121.5 96.5 1
146.0 121.0 96.0 2 3
145.5 120.5 95.5 2
145.0 120.0 95.0 1 2
144.5 119.5 94.5 5 5
144.0 119.0 94.0 1
143.5 118.5 1 93.5 6 4
143.0 118.0 93.0 2
142.5 117.5 92.5 1 1
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5 1
141.0 116.0 3 1 91.0 2 1
140.5 115.5 90.5 1 1
140.0 115.0 1 90.0 2 1
139.5 114.5 89.5
139.0 114.0 89.0 1
138.5 113.5 1 88.5 4 2
138.0 113.0 88.0
137.5 112.5 4 2 87.5 2
137.0 112.0 87.0
136.5 111.5 1 86.5 3 2
136.0 111.0 86.0 3
135.5 110.5 85.5 1
135.0 110.0 1 85.0 3 2
134.5 109.5 84.5 1 1
134.0 109.0 7 3 84.0 2 1
133.5 108.5 83.5 1
133.0 108.0 1 83.0 2 3
132.5 107.5 1 82.5 4 1
132.0 107.0 82.0 1
131.5 106.5 1 2 81.5 5 1
131.0 106.0 81.0 4 2
130.5 105.5 2 3 80.5 3 1
130.0 1 105.0 1 80.0 1
129.5 104.5 2 79.5 1 1
129.0 1 104.0 3 79.0 5 1
128.5 103.5 78.5
128.0 103.0 3 2 78.0 2 1
127.5 102.5 77.5 1
127.0 102.0 2 1 77.0 2 1
126.5 101.5 1 76.5 3
126.0 101.0 2 76.0 2
125.5 1 100.5 4 3 75.5 1 2
American Mathematics Competitions
2006 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 1 50.0 25.0
74.5 1 1 49.5 1 24.5
74.0 3 49.0 24.0
73.5 48.5 23.5
73.0 1 1 48.0 23.0
72.5 47.5 22.5
72.0 1 3 47.0 22.0
71.5 1 46.5 21.5
71.0 1 46.0 21.0
70.5 2 45.5 20.5
70.0 1 45.0 20.0
69.5 1 2 44.5 19.5
69.0 1 44.0 1 19.0
68.5 1 43.5 18.5
68.0 3 43.0 1 18.0
67.5 42.5 17.5
67.0 1 1 42.0 17.0
66.5 1 1 41.5 16.5
66.0 2 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 1 37.5 12.5
62.0 1 37.0 1 12.0
61.5 1 36.5 11.5
61.0 1 1 36.0 11.0
60.5 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 2 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 31.5 6.5
56.0 1 31.0 6.0
55.5 1 1 30.5 5.5
55.0 1 2 30.0 5.0
54.5 1 1 29.5 4.5
54.0 2 29.0 4.0
53.5 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
129.0 1
125.5 1
122.0 1 2
118.5 1
117.0 1
116.0 1 3
115.0 1
113.5 1
112.5 1 1 2 2 1
111.5 1
110.0 1 1
109.0 4 6
108.0 1 1
107.5 1
106.5 1 2
105.5 2 3
105.0 1
104.5 1 1
104.0 1 2
103.0 4 1
102.0 2 1
101.5 1
101.0 1 1
100.5 1 3 3
99.5 6 2
98.5 1 1
98.0 2
97.0 1 4
96.5 1
96.0 1 2 3
95.5 2
95.0 1 1 1
94.5 6 4
94.0 1
93.5 1 8 3
93.0 1 1
92.5 1 1
92.0 3 1
91.5 1
91.0 1 2
90.5 2
90.0 3
89.0 1
88.5 4 2
87.5 1 1
86.5 3 2
86.0 3
85.5 1
85.0 2 3
84.5 1 1
84.0 3
83.5 1
83.0 2 3
82.5 3 2
82.0 1
81.5 4 3
81.0 2 4
80.5 4
80.0 1
79.5 1 1
79.0 2 3 2
78.0 2 2
77.5 1
77.0 1 1 1
76.5 1 2
76.0 2 1
75.5 2 2
75.0 1
74.5 1 1
74.0 1 1 2
73.0 2 1
72.0 3 1
71.5 1
71.0 1
70.5 1 1
70.0 1
69.5 2 1
69.0 1
68.5 1
68.0 2 1
67.0 1 2
66.5 1 1
66.0 2 1
65.0 1
64.0 1
63.0 1
62.5 1
62.0 1
61.5 1
61.0 2
59.0 2
57.5 1
57.0 1
56.0 1
55.5 2
55.0 2 1
54.5 2
54.0 2 1
51.0 1
49.5 1
44.0 1
43.0 1
37.0 1
American Mathematics Competitions
2006 AMC 12 A Results for District of Columbia
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 9.90* 0.03 0.00 0.03 0.00 0.03 0.00
2 1.82 0.07 6.19* 0.03 0.42 1.47 0.00
3 0.03 9.20* 0.03 0.00 0.66 0.07 0.00
4 1.47 0.07 0.00 0.03 8.15* 0.28 0.00
5 0.14 0.63 0.63 8.11* 0.21 0.28 0.00
6 7.62* 0.07 0.31 0.28 0.42 1.29 0.00
7 0.80 5.84* 0.73 0.59 0.21 1.82 0.00
8 0.87 1.40 7.17* 0.21 0.10 0.24 0.00
9 8.50* 0.14 0.03 0.03 0.45 0.84 0.00
10 0.28 0.07 0.94 4.23 2.06* 2.41 0.00
11 1.61 1.22 2.87* 0.87 0.38 3.04 0.00
12 1.33 6.08* 0.21 0.70 0.31 1.36 0.00
13 0.28 0.21 0.28 0.03 6.29* 2.90 0.00
14 0.07 0.66 5.17* 2.38 0.21 1.47 0.03
15 4.27* 1.64 0.14 0.70 1.92 1.33 0.00
16 0.31 3.78* 0.21 0.21 0.66 4.83 0.00
17 0.28 0.66* 0.49 0.21 0.10 8.25 0.00
18 1.36 0.07 0.17 0.38 0.45* 7.55 0.00
19 0.03 0.17 0.24 0.21 0.21* 9.13 0.00
20 1.75 0.52 0.70* 0.21 0.17 6.64 0.00
21 0.07 0.14 0.31 0.14 0.00* 9.34 0.00
22 0.28 0.07 0.10 0.17* 0.10 9.27 0.00
23 0.07 0.14* 0.17 0.07 0.14 9.41 0.00
24 1.01 0.10 0.17 0.10* 0.07 8.53 0.00
25 0.07 0.21 0.24 0.07 0.14* 9.27 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 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 1
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 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 1 94.5 1
144.0 119.0 94.0
143.5 118.5 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 3 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 89.0
138.5 113.5 88.5 2
138.0 113.0 88.0
137.5 112.5 87.5 1
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
135.0 110.0 85.0 1
134.5 109.5 84.5
134.0 109.0 84.0 2 1
133.5 108.5 83.5 1
133.0 108.0 83.0
132.5 107.5 1 82.5
132.0 107.0 82.0 1
131.5 106.5 2 1 81.5 1 1
131.0 106.0 81.0
130.5 105.5 80.5
130.0 105.0 80.0 1
129.5 104.5 79.5 1
129.0 104.0 79.0 1 1
128.5 103.5 78.5
128.0 103.0 1 1 78.0
127.5 102.5 1 1 77.5 1
127.0 102.0 77.0
126.5 101.5 76.5 2
126.0 101.0 76.0
125.5 100.5 2 75.5 1 2
American Mathematics Competitions
2006 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 50.0 25.0
74.5 1 49.5 1 24.5 1
74.0 2 49.0 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 47.5 22.5
72.0 1 47.0 1 22.0
71.5 1 46.5 21.5
71.0 46.0 21.0
70.5 45.5 1 20.5
70.0 1 45.0 20.0
69.5 1 44.5 1 19.5 1
69.0 44.0 19.0
68.5 1 43.5 18.5 1
68.0 43.0 1 18.0
67.5 42.5 17.5
67.0 1 1 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 1 13.0
62.5 1 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 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 1 9.0
58.5 1 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 31.5 6.5
56.0 1 31.0 1 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 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
2006 AMC 10 B Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
119.5 1
117.0 2 1
107.5 1
106.5 2 1
103.0 1 1
102.5 2
100.5 1 1
99.5 1
97.0 1
94.5 1
93.5 1 1
91.0 1
90.0 1
88.5 1 1
87.5 1
87.0 1
85.0 1
84.0 3
83.5 1
82.0 1
81.5 2
80.0 1
79.5 1
79.0 1 1
77.5 1
76.5 2
75.5 2 1
74.5 1
74.0 2
72.0 1
71.5 1
70.0 1
69.5 1
68.5 1
67.0 1 1
62.5 1
62.0 1
60.0 1
58.5 1
57.5 1
56.0 1
51.5 1 1
49.5 1
47.0 1
45.5 1
44.5 1
43.0 1
38.5 1
38.0 1
34.0 1
33.0 1
31.0 1
25.5 1
24.5 1
19.5 1
18.5 1
American Mathematics Competitions
2006 AMC 10 B Results for District of Columbia
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 0.27 0.40 7.73* 1.33 0.27 0.00 0.00
2 7.20* 0.80 0.00 0.27 0.80 0.93 0.00
3 8.13* 0.27 0.00 1.20 0.00 0.40 0.00
4 1.60 1.20 0.00 3.87* 2.93 0.40 0.00
5 1.33 5.33* 2.67 0.13 0.00 0.53 0.00
6 0.27 0.27 1.87 5.60* 0.40 1.60 0.00
7 3.07* 2.40 1.60 0.13 1.33 1.47 0.00
8 1.73 1.20* 0.40 1.60 0.53 4.53 0.00
9 0.00 7.73* 0.13 0.27 1.60 0.27 0.00
10 3.87* 0.67 1.73 0.00 2.40 1.33 0.00
11 0.67 0.67 2.13* 0.27 0.53 5.73 0.00
12 0.13 0.27 0.67 0.27 6.40* 2.27 0.00
13 0.67 0.40 1.33 0.40 4.00* 3.20 0.00
14 0.27 0.13 0.13 1.60* 0.13 7.73 0.00
15 0.67 0.27 2.40* 0.13 0.40 6.13 0.00
16 2.00 0.27 1.47 1.07 2.13* 3.07 0.00
17 2.13 0.53 2.00 4.27* 0.40 0.67 0.00
18 1.07 0.27 1.07 0.53 1.20* 5.87 0.00
19 0.00* 0.53 0.13 0.40 0.00 8.93 0.00
20 0.13 0.53 0.53 0.67 0.93* 7.20 0.00
21 0.40 0.13 0.93* 2.27 0.53 5.73 0.00
22 0.27 0.67 1.60 1.47* 0.00 6.00 0.00
23 0.00 1.33 0.00 0.53* 0.00 8.13 0.00
24 0.27 1.20* 0.53 0.00 0.53 7.47 0.00
25 0.27 2.67* 0.00 2.13 0.27 4.67 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 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 1
149.0 124.0 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0 2
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 1 94.5 1
144.0 119.0 94.0
143.5 118.5 1 1 93.5
143.0 118.0 1 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 3 91.0
140.5 115.5 90.5
140.0 115.0 90.0 2
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5 1
138.0 113.0 88.0 1
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
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0
133.5 108.5 83.5
133.0 108.0 1 1 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 1 80.5
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 1 79.0
128.5 103.5 78.5
128.0 103.0 1 1 78.0
127.5 102.5 77.5
127.0 102.0 77.0
126.5 101.5 76.5
126.0 101.0 1 1 76.0
125.5 100.5 1 1 75.5
American Mathematics Competitions
2006 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 2 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 47.5 22.5
72.0 47.0 1 22.0
71.5 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 1 45.0 20.0
69.5 44.5 1 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 1 42.0 17.0
66.5 41.5 1 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 1 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 1 33.0 8.0
57.5 1 32.5 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 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 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for District of Columbia
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
119.5 1
118.5 2
118.0 1
116.0 3
112.5 1
108.0 2
105.5 1
104.0 1
103.0 1 1
101.0 2
100.5 1 1
99.5 1
98.5 1 1
98.0 2
96.0 1
94.5 1
91.5 1
90.0 1 1
88.5 1
88.0 1
81.5 1
70.0 1
67.0 1
62.5 1
60.5 1
58.0 1
57.5 1
51.0 1
49.0 2
47.0 1
44.5 1
41.5 1
American Mathematics Competitions
2006 AMC 12 B Results for District of Columbia
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 0.47 0.23 8.37* 0.00 0.93 0.00 0.00
2 7.21* 0.47 0.00 0.23 0.70 1.40 0.00
3 8.60* 0.00 0.00 0.93 0.23 0.23 0.00
4 9.07* 0.47 0.23 0.00 0.00 0.23 0.00
5 7.44* 0.70 0.70 0.23 0.23 0.70 0.00
6 0.23 8.37* 0.00 0.23 0.93 0.23 0.00
7 0.47 9.07* 0.23 0.00 0.00 0.23 0.00
8 0.23 0.00 0.23 0.47 8.14* 0.93 0.00
9 0.23 6.05* 0.47 0.70 0.47 2.09 0.00
10 4.42* 0.23 1.63 0.23 0.93 2.56 0.00
11 0.93 0.23 1.40 1.16 5.81* 0.47 0.00
12 0.00 1.16 0.47 3.72* 0.70 3.95 0.00
13 1.40 0.70 4.19* 0.00 0.23 3.49 0.00
14 0.00 0.23 1.63 3.02* 0.00 5.12 0.00
15 0.23 3.72* 0.93 0.23 0.70 4.19 0.00
16 0.23 0.23 2.79* 0.47 0.00 6.28 0.00
17 0.70 0.23 2.79* 1.40 0.70 4.19 0.00
18 0.70 0.23* 2.09 0.70 0.23 6.05 0.00
19 0.23 3.95* 0.23 0.70 0.93 3.95 0.00
20 0.00 0.70 0.47* 0.23 1.63 6.98 0.00
21 0.00 0.00 0.47* 0.00 0.93 8.60 0.00
22 0.23 0.23* 0.93 0.23 0.00 8.37 0.00
23 0.70 0.47 0.23 0.23 0.00* 8.37 0.00
24 0.23 0.47 0.23* 0.00 0.23 8.84 0.00
25 0.00 0.23* 0.00 0.70 0.00 9.07 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column