American Mathematics Competitions
2006 AMC 10 A Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 775
Number of unofficial participants: 0
Average score of participants: 84.9
Average score for female students is: 78.6 ( 322 Students)
Average score for male students is: 90.1 ( 406 Students)
Average score for unspecified gender is 82.9 ( 47 Students)
Average score for grade 10 is: 85.1 ( 402 Students)
Average score for grade 9 is: 82.6 ( 304 Students)
Average score for grade 8 and below is: 96.4 ( 58 Students)
Average score with unknown grade: 78.7 ( 11 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 53
Number of schools returning results 31
Average school winning score 112.19
American Mathematics Competitions
2006 AMC 12 A Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 975
Number of unofficial participants: 0
Average score of participants: 90.6
Average score for female students is: 85.3 ( 370 Students)
Average score for male students is: 93.8 ( 565 Students)
Average score for unspecified gender is 94.0 ( 40 Students)
Average score for grade 12 is: 93.6 ( 395 Students)
Average score for grade 11 is: 88.5 ( 446 Students)
Average score for grade 10 is: 88.5 ( 86 Students)
Average score for grade 9 is: 84.5 ( 30 Students)
Average score for grade 8 and below is: 107.0 ( 4 Students)
Average score with unknown grade: 93.3 ( 14 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 324
Number of schools returning results 37
Average school winning score 116.18
Average school team score 328.07
American Mathematics Competitions
2006 AMC 10 B Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 417
Number of unofficial participants: 0
Average score of participants: 59.2
Average score for female students is: 55.6 ( 206 Students)
Average score for male students is: 64.0 ( 170 Students)
Average score for unspecified gender is 57.3 ( 41 Students)
Average score for grade 10 is: 55.7 ( 210 Students)
Average score for grade 9 is: 62.4 ( 185 Students)
Average score for grade 8 and below is: 76.3 ( 13 Students)
Average score with unknown grade: 49.7 ( 9 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 9
Average school winning score 99.72
American Mathematics Competitions
2006 AMC 12 B Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 507
Number of unofficial participants: 0
Average score of participants: 85.6
Average score for female students is: 78.8 ( 202 Students)
Average score for male students is: 90.4 ( 273 Students)
Average score for unspecified gender is 87.0 ( 32 Students)
Average score for grade 12 is: 85.3 ( 190 Students)
Average score for grade 11 is: 81.0 ( 208 Students)
Average score for grade 10 is: 95.4 ( 61 Students)
Average score for grade 9 is: 100.5 ( 32 Students)
Average score for grade 8 and below is: 90.4 ( 8 Students)
Average score with unknown grade: 74.2 ( 8 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 143
Number of schools returning results 15
Average school winning score 116.80
Average school team score 319.67
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
433.5 1 1
418.5 1 2
375.0 2 3
371.5 1 5
368.0 1 6
364.0 1 7
363.5 1 8
361.0 1 9
360.0 1 10
351.5 1 11
350.5 1 2 12
349.0 1 15
347.0 2 16
346.0 1 18
344.5 1 1 19
341.0 3 21
340.0 1 24
333.0 1 2 25
331.5 2 28
329.5 1 30
324.5 1 31
323.5 1 32
322.5 1 33
321.0 1 34
316.0 1 35
313.5 1 36
312.5 1 37
311.0 1 38
310.5 1 39
306.0 1 40
304.0 1 41
301.5 1 42
301.0 1 43
299.5 1 44
299.0 1 45
291.0 1 46
289.0 1 47
286.5 1 48
276.5 1 49
254.0 1 50
129.0 1 51
116.0 1 52
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2
144.0 2
140.5 1
139.5 3
138.0 2
137.0 3
136.0 1 1 1
133.5 1 1 4 1
132.5 1 1
132.0 1
131.0 1
130.0 3 2
129.0 2 2 2
127.5 3
126.5 1 2 3
126.0 1
125.5 2 3 1
125.0 3 1
124.0 1 3 5 1
123.0 3 2 8
122.5 2 1
122.0 3 2 2
121.5 1 3
120.5 1 4
119.5 7 3 4
119.0 2
118.5 15
118.0 2 4
117.0 2 1 5
116.0 12 6 3
115.5 3
115.0 14 7 2
114.5 2 1 8
114.0 3
113.5 5 1 7 1
112.5 32 6 3
112.0 1 3
111.5 8 8 1 1
111.0 4 1 4
110.5 1
110.0 18 2 6 1
109.5 2
109.0 17 9 2
108.5 1 3 1
108.0 15 7 1
107.5 4 2
107.0 1 2
106.5 27 4 4 2
106.0 1 8
105.5 18 10 1
105.0 2 7
104.5 6 8 1
104.0 10 2 9 2
103.5 1 1
103.0 28 6 5
102.5 1 4
102.0 17 15 4 2
101.5 10 2 8
101.0 4 13 2
100.5 23 3 5 1
100.0 1 2
99.5 19 10 6
99.0 1 5
98.5 12 15 3 1
98.0 15 1 8 3
97.5 1 4 3 1
97.0 21 4 5
96.5 8
96.0 15 8 8 1
95.5 2 1 11
95.0 16 19 1
94.5 17 3 12 3
94.0 3 2 3
93.5 13 9 10 2
93.0 9 4 2
92.5 13 12 3 1
92.0 12 1 6 2
91.5 6 1 1 1
91.0 21 5 5
90.5 2 3 2
90.0 19 6 8 2
89.5 11 6 1
89.0 10 14 7
88.5 11 2 12
88.0 4 1 2 1
87.5 11 2 9 6
87.0 6 1 2
86.5 10 3 9 4
86.0 10 2 6
85.5 4 5 8 1
85.0 10 1 10 2
84.5 5 4 9 3
84.0 13 5 7 1
83.5 8 1 10 4
83.0 12 13 7 3
82.5 9 2 4 1
82.0 4 4 12 1
81.5 12 1 3
81.0 5 1 6 3
80.5 15 3 5 2
80.0 10 3 8
79.5 3 3 8
79.0 8 3 5 2
78.5 3 6 8 1
78.0 17 5 9 1
77.5 5 1 9 4
77.0 15 3 5 2
76.5 6 3 8 3
76.0 4 6 6 1
75.5 11 3 10 2
75.0 3 3 2
74.5 12 2 7 2
74.0 2 2 7 5
73.5 8 5 3
73.0 3 1 5 2
72.5 3 3 10 3
72.0 11 4 10 2
71.5 6 4 6 4
71.0 2 5 2 1
70.5 5 2 6 4
70.0 6 2 3 1
69.5 6 2 7 4
69.0 2 4 5 1
68.5 4 3 9 4
68.0 2 1 8 3
67.5 2 3 5 1
67.0 4 3 3
66.5 5 8 3 6
66.0 5 2 8 6
65.5 6 5 8 2
65.0 5 6 6 2
64.5 3 6 5
64.0 2 1 7 3
63.5 6 5 4
63.0 2 2 6 4
62.5 6 7 4 4
62.0 2 2 6 9
61.5 6 4 7 3
61.0 1 3 8 6
60.5 2 3 2 5
60.0 4 4 6 4
59.5 3 3 5
59.0 3 1 8 3
58.5 4 3 3 4
58.0 1 3 7 6
57.5 5 2 2 3
57.0 1 5 3 3
56.5 4 2 3
56.0 3 4 3
55.5 2 1 3 3
55.0 5 1 1 2
54.5 2 2 4 9
54.0 1 2 7 4
53.5 3 1 6
53.0 2 1 3 3
52.5 3 1 1 4
52.0 1 1 8
51.5 1 1 2
51.0 2
50.5 2 11
50.0 2 2 3
49.5 2 5
49.0 1 2 2
48.5 1 1 5
48.0 4 4 1 7
47.5 1 1 4
47.0 1 2 4
46.5 1 3 3
46.0 1 5
45.5 1
45.0 1 2 1
44.5 1 1 1 2
44.0 2 2 5
43.5 1 6
43.0 1 3
42.5 1 1
42.0 2 5 2 5
41.5 2
41.0 2
40.5 1 1
40.0 5
39.5 2 1 3
39.0 1 2
38.5 2 4
38.0 2 3
37.5 5
36.5 2 1
36.0 1 3 6
35.5 1
35.0 1 1
34.5 4
34.0 3
33.5 1 3
33.0 1 2
32.0 3
31.5 1 1 1 1
31.0 1
30.5 1 1
30.0 1 2 6
29.5 1
28.5 2
26.5 1
26.0 1
25.5 1
24.5 1
24.0 1 1
23.5 2
23.0 1
20.0 1
19.5 1
18.5 1
18.0 1 3
14.5 2
12.5 1
12.0 1
6.0 2
1
American Mathematics Competitions
2006 AMC 10 A Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 3 100.0 1 1
149.5 124.5 99.5 4 2
149.0 124.0 3 1 99.0 4 1
148.5 123.5 98.5 3
148.0 123.0 7 1 98.0 5 3
147.5 122.5 2 97.5 3
147.0 122.0 2 97.0 3 2
146.5 121.5 2 1 96.5 4 3
146.0 121.0 96.0 5 2
145.5 120.5 4 95.5 6 3
145.0 120.0 95.0 1
144.5 119.5 2 2 94.5 2 10
144.0 2 119.0 2 94.0 1 2
143.5 118.5 93.5 4 5
143.0 118.0 3 1 93.0 2 2
142.5 117.5 92.5 2 1
142.0 117.0 5 92.0 4 2
141.5 116.5 91.5 1
141.0 116.0 3 91.0 3 2
140.5 115.5 2 1 90.5 2
140.0 115.0 1 90.0 5 3
139.5 114.5 7 1 89.5 3 3
139.0 114.0 1 1 89.0 2 3
138.5 113.5 6 1 88.5 8 3
138.0 2 113.0 88.0 1 1
137.5 112.5 1 2 87.5 2 7
137.0 2 1 112.0 2 1 87.0 2
136.5 111.5 1 86.5 4 5
136.0 1 111.0 3 1 86.0 4 2
135.5 110.5 1 85.5 6 2
135.0 110.0 2 2 85.0 7 2
134.5 109.5 1 1 84.5 8
134.0 109.0 1 1 84.0 3 3
133.5 4 108.5 2 1 83.5 6 4
133.0 108.0 83.0 3 4
132.5 1 107.5 2 82.5 4
132.0 107.0 2 82.0 6 6
131.5 106.5 3 81.5 1 2
131.0 1 106.0 7 1 81.0 3 3
130.5 105.5 1 80.5 3 1
130.0 2 105.0 4 2 80.0 5 1
129.5 104.5 1 79.5 2 6
129.0 2 104.0 5 2 79.0 2 3
128.5 103.5 78.5 2 6
128.0 103.0 3 2 78.0 5 4
127.5 3 102.5 3 1 77.5 2 7
127.0 102.0 2 2 77.0 4 1
126.5 2 1 101.5 6 2 76.5 4 4
126.0 101.0 1 1 76.0 2 3
125.5 1 100.5 3 1 75.5 6 3
American Mathematics Competitions
2006 AMC 10 A Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 2 25.0
74.5 6 49.5 1 1 24.5
74.0 2 5 49.0 1 1 24.0
73.5 3 2 48.5 1 23.5
73.0 3 2 48.0 1 23.0
72.5 3 6 47.5 1 22.5
72.0 2 8 47.0 1 1 22.0
71.5 2 4 46.5 1 2 21.5
71.0 2 46.0 21.0
70.5 3 3 45.5 20.5
70.0 3 45.0 1 1 20.0
69.5 2 4 44.5 1 19.5
69.0 2 3 44.0 19.0
68.5 4 5 43.5 18.5
68.0 5 3 43.0 1 18.0
67.5 1 2 42.5 17.5
67.0 1 1 42.0 1 17.0
66.5 2 1 41.5 1 16.5
66.0 3 5 41.0 16.0
65.5 6 2 40.5 1 15.5
65.0 1 5 40.0 15.0
64.5 3 3 39.5 1 14.5
64.0 6 39.0 14.0
63.5 5 38.5 13.5
63.0 3 2 38.0 13.0
62.5 3 1 37.5 12.5
62.0 5 1 37.0 12.0
61.5 4 3 36.5 11.5
61.0 3 4 36.0 2 1 11.0
60.5 2 35.5 10.5
60.0 1 4 35.0 10.0
59.5 1 2 34.5 9.5
59.0 3 4 34.0 9.0
58.5 2 1 33.5 1 8.5
58.0 3 4 33.0 8.0
57.5 2 32.5 7.5
57.0 2 1 32.0 7.0
56.5 2 31.5 1 6.5
56.0 3 31.0 6.0
55.5 2 1 30.5 5.5
55.0 1 30.0 1 5.0
54.5 1 3 29.5 4.5
54.0 1 4 29.0 4.0
53.5 1 28.5 3.5
53.0 3 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 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 Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1 1
140.5 1
138.0 1 1
137.0 3
136.0 1
133.5 2 2
132.5 1
131.0 1
130.0 2
129.0 2
127.5 1 2
126.5 2 1
125.5 1
125.0 2 1
124.0 1 1 3
123.0 1 1 3 3
122.5 1 1
122.0 2
121.5 1 2
120.5 1 1 2
119.5 2 2
119.0 1 1
118.0 3 1
117.0 1 1 1 2
116.0 3
115.5 1 1 1
115.0 1 1
114.5 3 5
114.0 1 1 1
113.5 1 2 4
112.5 3
112.0 1 2
111.5 1
111.0 1 1 2
110.5 1
110.0 3 3
109.5 1 1
109.0 2
108.5 3
107.5 2
107.0 1 1
106.5 1 3
106.0 1 1 2 4
105.5 1
105.0 1 1 1 3 1
104.5 1
104.0 1 1 7
103.5 1
103.0 1 4
102.5 2 2
102.0 1 3
101.5 2 1 5
101.0 1 1
100.5 2 3
100.0 2
99.5 2 4
99.0 1 2 2
98.5 1 2
98.0 1 4 3
97.5 1 2
97.0 2 3
96.5 1 3 4
96.0 1 1 2 4
95.5 1 2 4 3 1
95.0 1
94.5 5 7
94.0 2 1
93.5 6 4
93.0 1 3
92.5 1 2
92.0 1 5
91.5 1
91.0 3 2
90.5 1 1 1
90.0 1 4 3
89.5 3 3
89.0 1 4 2
88.5 2 10
88.0 1 1
87.5 7 2
87.0 1 1
86.5 1 4 4
86.0 2 4
85.5 5 3
85.0 1 4 5
84.5 1 2 5 1
84.0 2 4 1
83.5 5 5
83.0 1 1 2 3
82.5 1 3
82.0 1 4 7
81.5 2 1
81.0 2 4
80.5 1 4
80.0 2 6
79.5 1 3 4
79.0 5
78.5 3 5
78.0 5 4
77.5 1 3 5
77.0 4 1
76.5 1 3 4
76.0 2 4
75.5 4 5 1
75.0 2 1
74.5 1 3 2 1
74.0 4 3
73.5 2 3
73.0 1 4
72.5 4 6
72.0 4 6
71.5 1 1 4
71.0 1 1
70.5 3 3
70.0 2 1
69.5 2 4 1
69.0 1 3 1
68.5 1 1 3 4
68.0 1 3 4
67.5 1 3 1
67.0 3
66.5 1 1 1
66.0 2 6
65.5 2 6
65.0 2 4
64.5 1 5
64.0 3 4
63.5 1 4
63.0 2 4
62.5 1 3
62.0 2 4
61.5 5 2
61.0 6 2
60.5 1 1
60.0 2 3 1
59.5 3
59.0 6 2
58.5 1 2
58.0 2 3 2
57.5 2
57.0 1 2
56.5 1 1
56.0 4
55.5 2 1
55.0 1
54.5 1 1 2
54.0 3 4
53.5 1
53.0 1 2
52.5 1
52.0 1
51.5 1
50.0 1 1
49.5 2
49.0 1 1
48.5 1
48.0 1
47.5 1
47.0 1 1
46.5 2 1
45.0 2
44.5 1
43.0 1
42.0 1 1
41.5 1 1
40.5 1
39.5 1
36.0 1 1 1
33.5 1
31.5 1
30.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Maryland
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 9.95* 0.00 0.00 0.01 0.03 0.01 0.00
2 1.41 0.19 4.49* 0.08 1.26 2.57 0.00
3 0.03 8.80* 0.08 0.04 0.97 0.08 0.01
4 2.15 0.19 0.09 0.12 7.02* 0.43 0.00
5 0.17 0.85 1.16 7.29* 0.22 0.30 0.01
6 0.17 8.59* 0.28 0.14 0.06 0.75 0.00
7 7.45* 0.05 0.34 0.27 0.25 1.65 0.00
8 1.32 0.43 0.37 0.14 4.00* 3.74 0.00
9 1.26 1.52 6.14* 0.36 0.14 0.57 0.00
10 0.32 0.21 0.68 3.26 1.73* 3.79 0.00
11 1.43 1.35 2.68* 0.71 0.75 3.07 0.00
12 0.58 0.37 5.39* 0.94 0.44 2.27 0.00
13 0.21 0.99 0.34 6.08* 0.18 2.19 0.01
14 1.63 4.61* 0.15 0.95 0.41 2.25 0.00
15 0.68 0.44 0.37 1.77* 0.49 6.23 0.01
16 0.26 0.30 0.76 0.40* 0.61 7.66 0.01
17 2.84* 0.41 0.28 0.40 0.21 5.86 0.00
18 1.52 0.22 3.75* 0.32 0.15 4.03 0.00
19 0.46 1.43 1.75* 0.43 0.36 5.56 0.00
20 0.34 0.98 0.41 0.45 0.93* 6.89 0.00
21 0.74 0.74 0.32 0.57 1.42* 6.22 0.00
22 0.04 0.81 4.34* 3.02 0.61 1.17 0.01
23 0.41 2.59* 0.19 0.27 0.55 5.97 0.00
24 0.46 0.81* 0.52 0.35 0.54 7.32 0.00
25 2.26 0.72 0.68* 0.28 0.28 5.77 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 Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 100.0 1
149.5 124.5 99.5 12 7
149.0 124.0 1 99.0
148.5 123.5 98.5 9 3
148.0 123.0 3 98.0 11 4
147.5 122.5 97.5 1
147.0 122.0 3 97.0 13 6
146.5 121.5 1 96.5
146.0 121.0 96.0 9 6
145.5 120.5 1 95.5 1 1
145.0 120.0 95.0 10 6
144.5 119.5 5 94.5 11 6
144.0 119.0 94.0 1 1
143.5 118.5 9 6 93.5 7 6
143.0 118.0 93.0 4 5
142.5 117.5 92.5 8 3
142.0 117.0 2 92.0 9 3
141.5 116.5 91.5 4 2
141.0 116.0 7 3 91.0 9 12
140.5 115.5 90.5
140.0 115.0 8 5 90.0 9 8
139.5 114.5 1 89.5 5 6
139.0 114.0 89.0 7 3
138.5 113.5 4 1 88.5 4 6
138.0 113.0 88.0 1 3
137.5 112.5 25 5 87.5 8 3
137.0 112.0 87.0 4 2
136.5 111.5 4 3 86.5 6 3
136.0 1 111.0 4 86.0 3 7
135.5 110.5 85.5 1 3
135.0 110.0 12 5 85.0 6 3
134.5 109.5 84.5 4 1
134.0 109.0 11 5 84.0 8 5
133.5 1 108.5 83.5 5 3
133.0 108.0 11 4 83.0 6 6
132.5 1 107.5 2 1 82.5 4 4
132.0 1 107.0 1 82.0 1 2
131.5 106.5 21 5 81.5 4 8
131.0 106.0 1 81.0 3 2
130.5 105.5 14 4 80.5 7 7
130.0 105.0 2 80.0 4 6
129.5 104.5 3 3 79.5 2 1
129.0 1 1 104.0 8 1 79.0 3 4
128.5 103.5 78.5 1 2
128.0 103.0 22 6 78.0 9 8
127.5 102.5 1 77.5 2 3
127.0 102.0 9 7 77.0 9 6
126.5 1 101.5 8 2 76.5 3 3
126.0 101.0 4 76.0 2 2
125.5 2 100.5 14 6 75.5 4 7
American Mathematics Competitions
2006 AMC 12 A Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 1 1 25.0
74.5 3 8 49.5 24.5
74.0 1 1 49.0 1 24.0
73.5 2 6 48.5 23.5
73.0 1 1 48.0 1 3 23.0
72.5 2 1 47.5 1 22.5
72.0 4 6 47.0 22.0
71.5 3 3 46.5 1 21.5
71.0 1 46.0 21.0
70.5 5 45.5 20.5
70.0 4 2 45.0 20.0
69.5 3 3 44.5 1 19.5
69.0 2 44.0 1 1 19.0
68.5 1 3 43.5 1 18.5
68.0 1 1 43.0 18.0
67.5 1 1 42.5 17.5
67.0 2 1 42.0 1 1 17.0
66.5 3 2 41.5 16.5
66.0 1 3 41.0 16.0
65.5 3 3 40.5 15.5
65.0 1 4 40.0 15.0
64.5 39.5 14.5
64.0 2 39.0 14.0
63.5 4 2 38.5 13.5
63.0 1 1 38.0 1 1 13.0
62.5 3 3 37.5 12.5
62.0 2 37.0 12.0
61.5 2 3 36.5 11.5
61.0 1 36.0 1 11.0
60.5 2 35.5 10.5
60.0 1 2 35.0 10.0
59.5 34.5 9.5
59.0 2 1 34.0 9.0
58.5 1 3 33.5 8.5
58.0 1 33.0 8.0
57.5 2 3 32.5 7.5
57.0 1 32.0 7.0
56.5 31.5 1 6.5
56.0 3 31.0 6.0
55.5 1 1 30.5 5.5
55.0 2 3 30.0 5.0
54.5 1 1 29.5 4.5
54.0 1 29.0 4.0
53.5 28.5 3.5
53.0 1 1 28.0 3.0
52.5 2 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 12 A Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 2
136.0 1
133.5 1
132.5 1
132.0 1
129.0 1 1
126.5 1
125.5 2
124.0 1
123.0 3
122.0 1 2
121.5 1
120.5 1
119.5 1 2 3 1
118.5 2 5 8
117.0 1 1
116.0 5 6 1
115.0 1 2 11
114.5 2
113.5 1 4
112.5 1 3 16 11 1
111.5 6 2
111.0 1 3
110.0 1 9 8
109.0 2 5 10
108.0 9 6
107.5 3 1
107.0 1
106.5 2 8 16 1
106.0 1
105.5 1 5 12
105.0 2
104.5 1 1 3 1
104.0 1 3 6
103.0 1 4 7 15 1
102.5 1
102.0 1 9 7
101.5 1 4 5
101.0 2 2
100.5 2 3 10 7 1
100.0 1
99.5 2 9 8
98.5 8 4
98.0 1 4 10
97.5 1
97.0 2 11 8
96.0 1 4 5 5
95.5 2
95.0 2 7 7
94.5 1 2 8 6
94.0 2 1
93.5 2 6 5
93.0 3 5 1
92.5 4 4 5
92.0 1 4 7
91.5 2 4
91.0 3 2 8 8
90.0 1 2 11 5
89.5 4 7
89.0 1 6 3
88.5 1 8 2
88.0 1 2 1
87.5 1 5 5
87.0 2 4
86.5 1 2 2 4 1
86.0 1 7 2
85.5 3 1
85.0 1 2 3 3 1
84.5 3 2
84.0 1 1 9 2
83.5 1 2 5
83.0 1 10 1
82.5 1 8
82.0 1 1 1 1
81.5 1 1 9 1
81.0 4 1
80.5 1 4 9 1
80.0 2 4 3 1
79.5 1 2
79.0 4 3 1
78.5 2 1
78.0 1 10 6
77.5 5
77.0 12 3
76.5 1 3 2
76.0 1 3
75.5 8 3
75.0 1 2
74.5 2 5 4 1
74.0 2
73.5 1 3 4
73.0 2 1
72.5 1 2
72.0 3 8
71.5 3 3
71.0 1 1
70.5 2 3
70.0 1 4 1
69.5 1 3 2
69.0 2
68.5 1 2 1
68.0 1 1
67.5 2
67.0 3 1
66.5 1 1 3
66.0 2 3
65.5 1 2 3
65.0 2 3
64.0 2
63.5 2 4
63.0 1 1
62.5 1 2 3
62.0 1 1
61.5 5 1
61.0 1
60.5 1 1
60.0 1 2 1
59.0 1 1 1
58.5 1 1 2
58.0 1
57.5 3 2
57.0 1
56.0 1 1 1
55.5 1 1
55.0 3 2
54.5 1 1
54.0 1
53.0 2
52.5 2 1
52.0 1
50.0 1 1
49.0 1
48.0 3 1
47.5 1
46.5 1
44.5 1
44.0 1 1
43.5 1
42.0 1 1
38.0 1 1
36.0 1
31.5 1
American Mathematics Competitions
2006 AMC 12 A Results for Maryland
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 9.96* 0.01 0.00 0.02 0.00 0.01 0.00
2 1.93 0.10 6.19* 0.02 0.37 1.38 0.00
3 0.02 9.09* 0.03 0.02 0.81 0.03 0.00
4 1.61 0.07 0.00 0.07 7.98* 0.27 0.00
5 0.14 0.51 0.78 8.17* 0.14 0.25 0.00
6 7.60* 0.05 0.30 0.21 0.22 1.63 0.00
7 0.50 6.30* 0.54 0.69 0.29 1.68 0.00
8 0.80 0.85 7.51* 0.29 0.10 0.45 0.00
9 8.54* 0.12 0.04 0.02 0.21 1.07 0.00
10 0.19 0.10 0.57 3.72 2.96* 2.44 0.00
11 1.52 1.02 3.46* 0.70 0.49 2.82 0.00
12 1.21 6.06* 0.10 0.63 0.18 1.82 0.00
13 0.36 0.13 0.17 0.09 6.12* 3.12 0.00
14 0.07 0.50 5.69* 2.02 0.21 1.50 0.01
15 4.76* 1.17 0.22 0.61 1.46 1.79 0.00
16 0.30 4.88* 0.16 0.08 0.52 4.05 0.00
17 0.30 0.51* 0.41 0.43 0.11 8.24 0.00
18 1.49 0.02 0.18 0.51 0.63* 7.17 0.00
19 0.10 0.08 0.11 0.12 0.35* 9.23 0.00
20 1.30 0.59 0.67* 0.26 0.13 7.05 0.00
21 0.08 0.09 0.24 0.10 0.24* 9.25 0.00
22 0.08 0.06 0.11 0.13* 0.06 9.55 0.00
23 0.05 0.19* 0.10 0.02 0.17 9.46 0.00
24 1.02 0.09 0.14 0.29* 0.11 8.35 0.00
25 0.12 0.09 0.08 0.15 0.13* 9.42 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 Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
149.5 124.5 99.5
149.0 124.0 1 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0 3
147.5 122.5 97.5 1
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 2
144.0 119.0 94.0
143.5 118.5 93.5 2
143.0 118.0 93.0 2
142.5 117.5 92.5 1
142.0 117.0 92.0 1 1
141.5 116.5 91.5 1
141.0 116.0 91.0
140.5 115.5 90.5 1 1
140.0 115.0 90.0 2
139.5 114.5 89.5 1
139.0 114.0 89.0
138.5 113.5 1 88.5
138.0 113.0 88.0 1
137.5 112.5 87.5 3 2
137.0 112.0 87.0
136.5 111.5 1 86.5 2 2
136.0 111.0 86.0
135.5 110.5 85.5 1
135.0 110.0 1 85.0
134.5 109.5 84.5 1 2
134.0 109.0 84.0 1
133.5 1 108.5 1 83.5 3 1
133.0 108.0 1 83.0 2 1
132.5 107.5 82.5
132.0 107.0 82.0 1
131.5 106.5 2 81.5
131.0 106.0 81.0 2
130.5 105.5 80.5 1 1
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 1 1 79.0 2
128.5 103.5 78.5 1
128.0 103.0 78.0 1
127.5 102.5 77.5 2 2
127.0 102.0 2 77.0 2
126.5 101.5 76.5 1 2
126.0 101.0 76.0 1
125.5 100.5 75.5 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Maryland
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 2 49.5 1 2 24.5 1
74.0 2 3 49.0 2 24.0 1
73.5 1 2 48.5 2 3 23.5 2
73.0 2 48.0 3 4 23.0
72.5 1 2 47.5 1 3 22.5
72.0 2 47.0 2 1 22.0
71.5 1 2 46.5 1 2 21.5
71.0 46.0 2 2 21.0
70.5 1 2 45.5 1 20.5
70.0 1 45.0 1 20.0 1
69.5 1 3 44.5 1 1 19.5 1
69.0 1 44.0 2 2 19.0
68.5 1 2 43.5 3 3 18.5
68.0 1 2 43.0 3 18.0 1 2
67.5 1 42.5 1 17.5
67.0 42.0 2 3 17.0
66.5 3 3 41.5 16.5
66.0 4 41.0 2 16.0
65.5 1 1 40.5 1 15.5
65.0 1 1 40.0 1 2 15.0
64.5 2 3 39.5 1 14.5 2
64.0 1 2 39.0 2 14.0
63.5 1 3 38.5 2 2 13.5
63.0 3 1 38.0 2 1 13.0
62.5 1 2 37.5 1 3 12.5 1
62.0 4 4 37.0 12.0 1
61.5 2 1 36.5 1 11.5
61.0 4 1 36.0 3 2 11.0
60.5 2 3 35.5 10.5
60.0 3 1 35.0 1 10.0
59.5 4 1 34.5 3 9.5
59.0 1 34.0 1 2 9.0
58.5 4 33.5 3 8.5
58.0 2 2 33.0 1 8.0
57.5 2 32.5 7.5
57.0 3 32.0 2 7.0
56.5 3 31.5 1 6.5
56.0 2 1 31.0 1 6.0 2
55.5 1 2 30.5 1 5.5
55.0 2 30.0 4 2 5.0
54.5 3 6 29.5 1 4.5
54.0 1 3 29.0 4.0
53.5 2 3 28.5 1 1 3.5
53.0 1 1 28.0 3.0
52.5 2 2 27.5 2.5
52.0 4 4 27.0 2.0
51.5 1 1 26.5 1.5
51.0 1 1 26.0 1 1.0
50.5 5 6 25.5 1 .5
0.0 0 1
American Mathematics Competitions
2006 AMC 10 B Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
133.5 1
125.0 1
124.0 1
122.5 1
113.5 1
111.5 1
110.0 1
108.5 1
108.0 1
106.5 1 1
104.0 2
102.0 1 1
100.5 1
98.5 1
98.0 3
97.5 1
96.0 1
94.5 3
93.5 2
93.0 2
92.5 1
92.0 1 1
91.5 1
90.5 1 1
90.0 1 1
89.5 1
88.0 1
87.5 4 2
86.5 1 1 1 1
85.5 1
85.0 1 1
84.5 1 1 1
84.0 1
83.5 2 2
83.0 1 1 1
82.5 1
82.0 1
81.0 1 1 1
80.5 2
79.0 2
78.5 1
78.0 1
77.5 1 3
77.0 1 1
76.5 2 1
76.0 1
75.5 1 1
75.0 2
74.5 1 1
74.0 3 2
73.5 2 1
73.0 1 1
72.5 3
72.0 2
71.5 2 2
71.0 1
70.5 2 2
70.0 1
69.5 3 1
69.0 1
68.5 1 3
68.0 3
67.5 1
66.5 3 2 1
66.0 1 4 1
65.5 2
65.0 1 1
64.5 3 1 1
64.0 2 1
63.5 1 3
63.0 2 2
62.5 3 1
62.0 2 7
61.5 3
61.0 5 1
60.5 3 2
60.0 2 2
59.5 3 2
59.0 1 2
58.5 4
58.0 1 2 3
57.5 3
57.0 2 1
56.5 3
56.0 3
55.5 2 1
55.0 2
54.5 2 7
54.0 4
53.5 2 3 1
53.0 2 1
52.5 2 2
52.0 5 3
51.5 2
51.0 2
50.5 4 7
50.0 2 1
49.5 2 3
49.0 1 1
48.5 5
48.0 1 4 2
47.5 1 1 2
47.0 4
46.5 2 1
46.0 4 1
45.5 1
45.0 1
44.5 2
44.0 1 4
43.5 3 3
43.0 1 2
42.5 1
42.0 2 3
41.0 2
40.5 1
40.0 5
39.5 1 2
39.0 2
38.5 1 3
38.0 1 2
37.5 2 3
36.5 1
36.0 1 5
35.0 1
34.5 3 1
34.0 1 2
33.5 3
33.0 1 1
32.0 3
31.5 1
31.0 1
30.5 1
30.0 2 4
29.5 1
28.5 1 1
26.0 1
25.5 1
24.5 1
24.0 1
23.5 2
23.0 1
20.0 1
19.5 1
18.5 1
18.0 3
14.5 1 1
12.5 1
12.0 1
6.0 2
1
American Mathematics Competitions
2006 AMC 10 B Results for Maryland
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 0.70 0.67 4.48* 2.21 1.06 0.89 0.00
2 4.08* 0.98 0.19 0.43 0.26 4.05 0.00
3 6.76* 0.46 0.19 2.09 0.26 0.24 0.00
4 1.22 2.59 0.46 2.25* 2.23 1.25 0.00
5 0.72 4.17* 2.33 0.48 0.17 2.13 0.00
6 0.58 0.36 3.50 2.78* 0.34 2.45 0.00
7 1.92* 1.56 1.18 1.58 0.91 2.85 0.00
8 1.92 0.79* 0.34 1.77 0.60 4.58 0.00
9 0.24 7.00* 0.05 0.19 1.63 0.89 0.00
10 1.61* 0.38 2.13 0.19 2.40 3.29 0.00
11 0.50 0.67 2.01* 0.58 0.41 5.83 0.00
12 0.36 0.67 0.24 0.62 3.38* 4.72 0.00
13 0.89 0.19 3.19 0.89 2.21* 2.64 0.00
14 0.22 0.19 0.48 0.94* 0.31 7.87 0.00
15 1.03 0.48 1.53* 0.48 0.29 6.19 0.00
16 3.05 0.43 2.25 0.74 1.15* 2.37 0.00
17 3.53 1.13 2.09 1.70* 0.22 1.34 0.00
18 0.79 0.65 0.98 0.46 0.82* 6.31 0.00
19 0.34* 0.67 0.29 0.41 0.43 7.87 0.00
20 0.41 0.46 0.74 0.77 0.53* 7.10 0.00
21 0.89 0.43 0.53* 2.78 0.60 4.77 0.00
22 0.70 0.89 1.63 0.94* 0.22 5.64 0.00
23 0.46 1.13 0.38 0.46* 0.43 7.12 0.02
24 0.24 0.79* 0.53 0.53 0.22 7.70 0.00
25 0.31 1.68* 0.24 2.09 0.65 5.04 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 Maryland
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 7 3
149.0 124.0 3 99.0 1
148.5 123.5 98.5 7 8
148.0 123.0 2 98.0 1
147.5 122.5 97.5 3 1
147.0 122.0 1 1 97.0 2 1
146.5 121.5 96.5
146.0 121.0 96.0 4 4
145.5 120.5 95.5 1
145.0 120.0 95.0 12 7
144.5 119.5 3 94.5 3
144.0 119.0 94.0 2
143.5 118.5 93.5 5 3
143.0 118.0 2 93.0
142.5 117.5 92.5 8 3
142.0 117.0 1 92.0 1
141.5 116.5 91.5 1
141.0 116.0 2 4 91.0 5
140.5 115.5 90.5 2
140.0 115.0 3 1 90.0 3 2
139.5 2 114.5 1 89.5
139.0 114.0 89.0 7 6
138.5 113.5 1 88.5 2
138.0 113.0 88.0 1
137.5 112.5 3 2 87.5 2
137.0 112.0 1 87.0 1
136.5 111.5 3 4 86.5 2 1
136.0 1 111.0 1 86.0 1 1
135.5 110.5 85.5 1 3
135.0 110.0 2 85.0 1
134.5 109.5 84.5 2 1
134.0 109.0 5 4 84.0 3 2
133.5 1 108.5 1 83.5 1
133.0 108.0 5 1 83.0 9 4
132.5 107.5 82.5 2
132.0 107.0 82.0 1 3
131.5 106.5 3 81.5 1
131.0 106.0 81.0 1
130.5 105.5 6 3 80.5 3
130.0 2 1 105.0 80.0 3
129.5 104.5 5 2 79.5 1 2
129.0 2 104.0 1 1 79.0 1 1
128.5 103.5 1 78.5 2 3
128.0 103.0 5 1 78.0 3 2
127.5 102.5 77.5 1
127.0 102.0 11 4 77.0 2 1
126.5 2 101.5 2 76.5 2 1
126.0 1 101.0 8 5 76.0 2 4
125.5 3 100.5 2 75.5 3
American Mathematics Competitions
2006 AMC 12 B Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 1 1 49.5 24.5
74.0 1 1 49.0 24.0 1
73.5 48.5 1 23.5
73.0 1 48.0 1 3 23.0
72.5 1 1 47.5 22.5
72.0 2 2 47.0 1 22.0
71.5 3 1 46.5 21.5
71.0 1 4 46.0 1 21.0
70.5 2 45.5 20.5
70.0 1 45.0 1 20.0
69.5 2 44.5 1 19.5
69.0 1 1 44.0 2 19.0
68.5 2 1 43.5 18.5
68.0 1 43.0 18.0 1
67.5 1 1 42.5 1 17.5
67.0 2 1 42.0 1 3 17.0
66.5 2 6 41.5 16.5
66.0 1 1 41.0 16.0
65.5 4 40.5 15.5
65.0 3 2 40.0 15.0
64.5 3 39.5 2 14.5
64.0 1 39.0 1 14.0
63.5 38.5 2 13.5
63.0 2 38.0 13.0
62.5 3 3 37.5 12.5
62.0 2 37.0 12.0
61.5 2 2 36.5 1 1 11.5
61.0 1 1 36.0 11.0
60.5 3 35.5 1 10.5
60.0 2 2 35.0 1 10.0
59.5 1 1 34.5 9.5
59.0 1 34.0 9.0
58.5 3 33.5 8.5
58.0 2 1 33.0 1 8.0
57.5 1 32.5 7.5
57.0 2 3 32.0 7.0
56.5 3 1 31.5 1 6.5
56.0 31.0 6.0
55.5 1 30.5 1 5.5
55.0 1 30.0 1 5.0
54.5 2 29.5 4.5
54.0 2 29.0 4.0
53.5 1 2 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1 1.5
51.0 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1 1 1
136.0 1
133.5 1
130.0 1 2
129.0 1 1
126.5 1 1
126.0 1
125.5 1 2
124.0 1 2
123.0 1 1
122.0 1 1
119.5 1 2
118.0 1 1
117.0 1
116.0 1 2 3
115.0 1 2 1 3
114.5 1
113.5 1
112.5 1 2 2 1
112.0 1
111.5 2 5 1
111.0 1
110.0 1 1
109.0 2 1 5 1
108.5 1
108.0 1 1 3 2
106.5 1 2 1
105.5 2 2 4 2
104.5 1 2 1 4
104.0 2
103.5 1
103.0 2 1 2 1
102.0 1 5 3 6
101.5 1 1
101.0 1 2 3 7
100.5 1 2
99.5 1 6 3
99.0 1
98.5 4 1 6 4
98.0 1
97.5 1 3
97.0 1 1 2
96.0 1 1 5 1
95.5 1
95.0 1 1 4 2 4 7
94.5 2 1
94.0 2
93.5 5 4
92.5 1 4 4 3
92.0 1
91.5 1
91.0 1 3 1
90.5 1 1
90.0 2 1 2 1
89.0 1 1 2 8 2
88.5 1 1
88.0 1
87.5 1 1
87.0 1
86.5 1 1 1
86.0 1 1
85.5 1 2 2
85.0 1
84.5 1 1 2
84.0 3 1 1
83.5 1
83.0 3 4 6
82.5 1 1
82.0 1 2 1
81.5 1
81.0 1
80.5 1 2
80.0 3
79.5 3
79.0 1 2
78.5 5 1
78.0 3 2
77.5 1
77.0 1 2
76.5 2 1
76.0 5 1
75.5 1 1 1
74.5 2
74.0 1 1
73.0 1
72.5 1 1 1
72.0 3 1
71.5 1 3
71.0 3 2
70.5 1 1
70.0 1 1
69.5 1 1
69.0 3 1
68.5 2 1
68.0 1
67.5 3
67.0 2 1
66.5 4 4
66.0 1 1
65.5 3 2
65.0 3 3
64.5 1 2
64.0 1
63.0 1 1
62.5 1 3 3
62.0 2
61.5 4
61.0 3
60.5 1 1 1
60.0 2 2
59.5 1 2
59.0 1
58.5 1 2
58.0 1 1 1
57.5 2
57.0 1 2 2
56.5 4
55.5 1
55.0 1
54.5 1 1
54.0 2
53.5 1 2
53.0 1
52.5 1
51.5 1
50.5 2
48.5 1
48.0 3 1
47.0 1
46.0 1
45.0 1
44.5 1
44.0 2
42.5 1
42.0 4 1
39.5 2
39.0 1
38.5 2
36.5 1 1
35.5 1
35.0 1
33.0 1
31.5 1
30.5 1
30.0 1
26.5 1
24.0 1
18.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Maryland
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 0.39 0.20 7.57* 1.12 0.43 0.28 0.00
2 7.14* 0.57 0.06 0.12 0.30 1.81 0.00
3 8.09* 0.32 0.02 1.10 0.22 0.26 0.00
4 8.93* 0.41 0.04 0.34 0.04 0.24 0.00
5 6.80* 0.79 0.36 0.34 0.16 1.56 0.00
6 0.06 8.19* 0.20 0.12 0.69 0.75 0.00
7 0.41 8.22* 0.55 0.24 0.24 0.34 0.00
8 0.12 0.24 0.34 0.39 6.75* 2.17 0.00
9 0.47 4.71* 0.39 0.43 0.45 3.53 0.00
10 4.40* 0.43 1.16 0.22 1.66 2.11 0.02
11 0.63 0.10 1.30 0.83 4.93* 2.21 0.00
12 0.37 0.63 0.47 1.52* 0.63 6.37 0.00
13 0.49 0.45 3.16* 0.30 0.28 5.33 0.00
14 0.51 0.43 1.46 2.58* 0.08 4.93 0.00
15 0.18 2.11* 0.83 0.37 0.24 6.27 0.00
16 0.24 0.26 1.56* 0.34 0.18 7.44 0.00
17 0.67 0.37 2.11* 1.03 0.39 5.42 0.00
18 0.67 1.01* 1.16 0.36 0.24 6.57 0.00
19 0.12 2.76* 0.12 1.08 0.30 5.62 0.00
20 0.12 0.39 0.49* 0.16 0.55 8.28 0.00
21 0.32 0.08 0.36* 0.22 0.10 8.93 0.00
22 0.12 0.45* 0.53 0.20 0.06 8.64 0.00
23 0.30 0.28 0.45 0.20 0.18* 8.60 0.00
24 0.12 0.22 0.18* 0.24 0.16 9.09 0.00
25 0.16 0.22* 0.20 0.20 0.22 9.01 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column