American Mathematics Competitions
2005 AMC 10 A Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 601
Number of unofficial participants: 0
Average score of participants: 76.8
Average score for female students is: 71.6 ( 286 Students)
Average score for male students is: 81.9 ( 283 Students)
Average score for unspecified gender is 78.5 ( 32 Students)
Average score for grade 10 is: 75.3 ( 292 Students)
Average score for grade 9 is: 75.9 ( 258 Students)
Average score for grade 8 and below is: 95.3 ( 30 Students)
Average score with unknown grade: 81.9 ( 21 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 14
Number of schools returning results 21
Average school winning score 107.21
American Mathematics Competitions
2005 AMC 12 A Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1023
Number of unofficial participants: 0
Average score of participants: 83.0
Average score for female students is: 78.6 ( 408 Students)
Average score for male students is: 85.9 ( 574 Students)
Average score for unspecified gender is 85.8 ( 41 Students)
Average score for grade 12 is: 84.9 ( 414 Students)
Average score for grade 11 is: 81.5 ( 424 Students)
Average score for grade 10 is: 82.7 ( 134 Students)
Average score for grade 9 is: 78.4 ( 32 Students)
Average score for grade 8 and below is: 89.9 ( 6 Students)
Average score with unknown grade: 79.8 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 168
Number of schools returning results 30
Average school winning score 113.95
Average school team score 318.13
American Mathematics Competitions
2005 AMC 10 B Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 255
Number of unofficial participants: 0
Average score of participants: 81.0
Average score for female students is: 77.3 ( 98 Students)
Average score for male students is: 83.2 ( 140 Students)
Average score for unspecified gender is 84.6 ( 17 Students)
Average score for grade 10 is: 83.0 ( 108 Students)
Average score for grade 9 is: 77.9 ( 120 Students)
Average score for grade 8 and below is: 88.4 ( 20 Students)
Average score with unknown grade: 83.6 ( 7 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 11
Average school winning score 108.32
American Mathematics Competitions
2005 AMC 12 B Results for Maryland
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 574
Number of unofficial participants: 0
Average score of participants: 85.3
Average score for female students is: 78.7 ( 204 Students)
Average score for male students is: 89.4 ( 344 Students)
Average score for unspecified gender is 84.1 ( 26 Students)
Average score for grade 12 is: 85.5 ( 191 Students)
Average score for grade 11 is: 84.3 ( 282 Students)
Average score for grade 10 is: 84.8 ( 59 Students)
Average score for grade 9 is: 92.8 ( 32 Students)
Average score for grade 8 and below is: 89.8 ( 2 Students)
Average score with unknown grade: 93.8 ( 8 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 124
Number of schools returning results 16
Average school winning score 109.78
Average school team score 303.78
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
430.0 1 1
399.0 1 2
386.5 1 3
377.5 1 4
370.5 1 5
370.0 1 6
360.0 1 7
355.0 1 8
348.5 1 9
342.5 1 10
341.5 1 11
337.5 1 12
334.0 1 13
328.5 1 14
325.5 1 15
315.5 2 16
314.5 1 18
314.0 1 19
312.5 1 20
311.0 1 21
310.0 1 22
308.5 1 1 23
306.0 1 1 25
305.5 1 27
305.0 1 28
302.5 1 29
301.5 1 30
300.0 1 31
298.0 1 32
297.5 1 33
296.5 1 34
295.5 1 35
294.5 1 36
289.5 1 37
287.0 1 38
285.5 1 39
281.5 1 40
277.0 1 41
267.5 1 42
261.0 1 43
260.0 1 44
257.0 1 45
113.5 1 46
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
144.0 2
143.0 1 1
139.5 1
138.0 1
137.0 1
134.5 1
133.5 2 1
131.0 1 1 2
130.0 1 1 1
127.5 1
126.5 2
125.5 3 1 1
125.0 1 2
124.0 1 2
123.0 2 2 1
122.5 1
122.0 3 2 1 1
121.5 1
120.5 1 2 3
119.5 3 1
118.5 3 1
118.0 1 1 3
117.0 1 3 1 1
116.5 1
116.0 3 5 2 1
115.0 1 2
114.5 5 1
113.5 1 7 3
113.0 1
112.5 5 3 4 2
112.0 1 1
111.5 9 3 1 2
111.0 1 1 3 1
110.0 3 10 4 1
109.5 1 2
109.0 7 8 6
108.5 1
108.0 13 6 4
107.5 2 3 4 2
106.5 8 4 5 3
106.0 2
105.5 10 3 5 3
105.0 1 1 4 2
104.5 14 4
104.0 4 3 6 5
103.5 1 1 1
103.0 8 6 4 2
102.5 1 1 1
102.0 26 7 4
101.5 2 4 4
101.0 21 14 2
100.5 2 4 3 2
99.5 12 12 5 2
99.0 1 2 1
98.5 22 13 5 1
98.0 4 6 4 3
97.5 3 3 2 1
97.0 6 9 6 1
96.5 2 2
96.0 22 16 4 3
95.5 1 1 1 2
95.0 33 14 3 3
94.5 3 8 6 5
94.0 7 1 5 2
93.5 12 4 5 4
93.0 2 3 2
92.5 23 12 3 2
92.0 3 2 3 3
91.5 18 4 4
91.0 6 11 7 3
90.5 11 1 2 1
90.0 14 7 7 8
89.5 2 2 3
89.0 33 20 8 2
88.5 2 4 7 3
88.0 10 6 5 3
87.5 11 2 9 1
87.0 5 2 3 2
86.5 28 14 9 1
86.0 2 3 2 3
85.5 17 4 4 2
85.0 5 6 4 5
84.5 12 4 2 1
84.0 19 7 4 5
83.5 4 4 3 1
83.0 27 16 8 5
82.5 3 4 3 2
82.0 12 6 3 2
81.5 8 6 5 3
81.0 11 5 3 4
80.5 10 5 6 5
80.0 5 3 2 4
79.5 19 3 6 5
79.0 4 2 3
78.5 12 2 8 4
78.0 8 5 2 6
77.5 8 1 5 3
77.0 19 6 2 1
76.5 4 3 1 2
76.0 6 6 7 2
75.5 3 3 3 4
75.0 9 4 4
74.5 15 5 7 1
74.0 12 2 8
73.5 12 5 6 2
73.0 5 6 3 3
72.5 13 3 2 2
72.0 9 6 6 3
71.5 8 4 5
71.0 17 4 3 3
70.5 3 1 1 2
70.0 12 4 7 2
69.5 6 2 1 2
69.0 9 6 4 2
68.5 11 3 2 2
68.0 9 2 10 3
67.5 6 5 4 3
67.0 6 4 4 4
66.5 11 7 7 3
66.0 2 2 5 2
65.5 8 3 7 1
65.0 3 2 1
64.5 9 3 11 1
64.0 4 6 5 1
63.5 4 3 5 1
63.0 7 2 4 5
62.5 2 3 5
62.0 8 6 1
61.5 7 3 4
61.0 7 3 5 2
60.5 7 2 4 2
60.0 2 5 3 1
59.5 6 3 6 1
59.0 7 3 4 1
58.5 5 3 3 1
58.0 5 4 7 1
57.5 5 6 1
57.0 9 1 6
56.5 3 6 6 1
56.0 4 1 5 1
55.5 1 1 1 3
55.0 4 3 2
54.5 2 5
54.0 5 3 5 1
53.5 1 4 1
53.0 1 2 4
52.5 1 2
52.0 1 3 2
51.5 2 1 1 1
51.0 4 2 3
50.5 5 1 4
50.0 5 6
49.5 2 2 4
49.0 1 3 2
48.5 1 3 1
48.0 3 2 2 1
47.5 1 4
47.0 1 2 4
46.5 1 3 2
46.0 1 2
45.5 2 1
45.0 2 1 2
44.5 1 1 1
44.0 1 1
43.5 1 1 2
43.0 2 2
42.5 1 1 1
42.0 3 4 3 1
41.5 1 1
41.0 1 2
40.5 1
40.0 1
39.5 2
39.0 1
38.5 1
38.0 1 2
37.5 2 1
37.0 1
36.5 1
36.0 2 2 3
35.5 1
35.0 1
33.5 1
33.0 2 1
32.5 1
31.5 1
31.0 1
30.5 1
30.0 1 3 1
29.5 1
25.5 1 1
23.5 1
23.0 1
22.0 1
18.0 1 1
11.0 1
American Mathematics Competitions
2005 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 2 100.0
149.5 124.5 99.5 2 3
149.0 124.0 2 99.0 2
148.5 123.5 98.5 4 1
148.0 123.0 1 98.0 3 1
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 2 4
146.5 121.5 96.5 2
146.0 121.0 96.0 4
145.5 120.5 3 95.5 1
145.0 120.0 95.0 2 1
144.5 119.5 1 94.5 4 1
144.0 119.0 94.0 1 3
143.5 118.5 93.5 4 1
143.0 118.0 2 1 93.0
142.5 117.5 92.5 1 2
142.0 117.0 1 92.0 2
141.5 116.5 1 91.5 1 2
141.0 116.0 2 91.0 4 2
140.5 115.5 90.5 2
140.0 115.0 90.0 3 4
139.5 114.5 4 1 89.5
139.0 114.0 89.0 2 3
138.5 113.5 2 88.5 6 1
138.0 113.0 1 88.0 3 2
137.5 112.5 2 2 87.5 3 5
137.0 112.0 1 87.0 1 2
136.5 111.5 1 86.5 3 5
136.0 111.0 3 86.0 2
135.5 110.5 85.5 1 3
135.0 110.0 3 85.0 3 1
134.5 109.5 84.5 2
134.0 109.0 4 2 84.0 3 1
133.5 1 108.5 1 83.5 2
133.0 108.0 2 2 83.0 3 4
132.5 107.5 1 3 82.5 3
132.0 107.0 82.0 2
131.5 106.5 2 2 81.5 1 4
131.0 2 106.0 2 81.0 3
130.5 105.5 5 80.5 1 4
130.0 1 105.0 4 80.0 1 1
129.5 104.5 79.5 3 3
129.0 104.0 6 79.0 2
128.5 103.5 1 78.5 3 5
128.0 103.0 3 1 78.0 1 1
127.5 102.5 1 77.5 2 3
127.0 102.0 3 1 77.0 1 1
126.5 101.5 2 2 76.5 1
126.0 101.0 2 76.0 1 5
125.5 1 100.5 2 1 75.5 1 2
American Mathematics Competitions
2005 AMC 10 A Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 50.0 6 25.0
74.5 3 4 49.5 3 1 24.5
74.0 3 4 49.0 2 1 24.0
73.5 2 4 48.5 1 1 23.5
73.0 3 48.0 1 23.0
72.5 2 47.5 3 1 22.5
72.0 1 4 47.0 2 2 22.0 1
71.5 2 3 46.5 3 21.5
71.0 1 2 46.0 2 21.0
70.5 45.5 1 20.5
70.0 3 4 45.0 2 20.0
69.5 1 44.5 1 19.5
69.0 1 3 44.0 1 19.0
68.5 1 1 43.5 2 18.5
68.0 3 7 43.0 1 18.0 1
67.5 1 3 42.5 1 17.5
67.0 2 2 42.0 1 2 17.0
66.5 4 3 41.5 16.5
66.0 2 3 41.0 1 1 16.0
65.5 5 2 40.5 1 15.5
65.0 1 40.0 1 15.0
64.5 5 6 39.5 14.5
64.0 5 39.0 1 14.0
63.5 2 3 38.5 13.5
63.0 1 3 38.0 2 13.0
62.5 3 1 37.5 1 12.5
62.0 4 2 37.0 1 12.0
61.5 3 1 36.5 1 11.5
61.0 1 4 36.0 1 2 11.0 1
60.5 2 2 35.5 1 10.5
60.0 1 2 35.0 10.0
59.5 1 4 34.5 9.5
59.0 4 34.0 9.0
58.5 3 33.5 1 8.5
58.0 3 3 33.0 1 8.0
57.5 3 3 32.5 1 7.5
57.0 2 4 32.0 7.0
56.5 3 3 31.5 1 6.5
56.0 2 3 31.0 1 6.0
55.5 1 30.5 1 5.5
55.0 1 1 30.0 1 5.0
54.5 2 3 29.5 1 4.5
54.0 1 3 29.0 4.0
53.5 1 3 28.5 3.5
53.0 2 2 28.0 3.0
52.5 2 27.5 2.5
52.0 1 1 27.0 2.0
51.5 1 26.5 1.5
51.0 1 2 26.0 1.0
50.5 1 3 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
133.5 1
131.0 1 1
130.0 1
125.5 1
125.0 1 1
124.0 2
123.0 1
122.0 1
120.5 1 2
119.5 1
118.0 1 2
117.0 1
116.5 1
116.0 1 1
114.5 3 1 1
113.5 1 1 1
113.0 1
112.5 3 1
112.0 1
111.5 1
111.0 1 1 1
110.0 1 3
109.5 1
109.0 1 5
108.5 1
108.0 2 2
107.5 3 1
106.5 1 3 1
106.0 1 1
105.5 1 1 3
105.0 1 1 2
104.0 2 1 3
103.5 1
103.0 2 2
102.5 1
102.0 3 1
101.5 1 2 1
101.0 1 1
100.5 3
99.5 3 2
99.0 1 1
98.5 1 3 1
98.0 4
97.5 1 1
97.0 1 2 3
96.5 1 1
96.0 1 3
95.5 1
95.0 1 1 1
94.5 1 4 1
94.0 3 1 1
93.5 1 2 2
92.5 2 1
92.0 1 2
91.5 1 3
91.0 3 3 1
90.5 2
90.0 4 2 1
89.0 4 4
88.5 3 4
88.0 4 1
87.5 4 4 1
87.0 2 1
86.5 1 2 5 1
86.0 2
85.5 3 1
85.0 1 1 2
84.5 2
84.0 1 2 1
83.5 2 1
83.0 3 5
82.5 1 2
82.0 1 1 1
81.5 3 2
81.0 1 2
80.5 2 3 1
80.0 2
79.5 1 1 4
79.0 1 1
78.5 4 4
78.0 2
77.5 4 1
77.0 1 1
76.5 1
76.0 1 1 4 1
75.5 1 2
75.0 1 2 1
74.5 1 3 3
74.0 3 5
73.5 4 2
73.0 2 1
72.5 2
72.0 1 2 2 1
71.5 2 3
71.0 1 2
70.5 1
70.0 3 4
69.5 1
69.0 1 3
68.5 2
68.0 7 3
67.5 4
67.0 2 2
66.5 2 5
66.0 1 4
65.5 3 4
65.0 1 1
64.5 4 7
64.0 1 4
63.5 2 3
63.0 2 2
62.5 3 1 1
62.0 3 3
61.5 4
61.0 2 3
60.5 1 3
60.0 3
59.5 3 3
59.0 3 1
58.5 1 2
58.0 4 3
57.5 5 1
57.0 5 1
56.5 4 2
56.0 1 3 1
55.5 1
55.0 1 2
54.5 5
54.0 1 4
53.5 3 1
53.0 3 1
52.5 2
52.0 2 1
51.5 1
51.0 1 2
50.5 4
50.0 2 4
49.5 2 2
49.0 3
48.5 1 2
48.0 1 1
47.5 3 1
47.0 2 2
46.5 2 1
46.0 2
45.5 1
45.0 1 1
44.5 1
44.0 1
43.5 1 1
43.0 2
42.5 1
42.0 2 1
41.0 2
40.5 1
40.0 1
39.0 1
38.0 1 1
37.5 1
37.0 1
36.5 1
36.0 2 1
35.5 1
33.5 1
33.0 1
32.5 1
31.5 1
31.0 1
30.5 1
30.0 1
29.5 1
25.5 1
22.0 1
18.0 1
11.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Maryland
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 0.35 0.15 0.37 8.30* 0.42 0.42 0.00
2 0.17 0.07 5.96* 0.07 1.35 2.40 0.00
3 0.05 8.37* 0.33 0.58 0.17 0.50 0.00
4 0.68 2.75* 1.58 0.55 0.45 3.99 0.00
5 5.66* 0.47 3.48 0.08 0.08 0.23 0.00
6 0.28 5.39* 2.61 0.13 0.12 1.46 0.00
7 0.50 3.99* 0.30 0.47 0.58 4.16 0.00
8 0.77 0.27 4.51* 0.07 0.17 4.23 0.00
9 1.16 5.89* 0.72 0.22 0.18 1.83 0.00
10 2.65* 0.42 0.90 0.33 0.20 5.51 0.00
11 0.55 2.86* 0.17 0.68 0.12 5.62 0.00
12 0.20 1.75* 0.38 0.13 0.72 6.82 0.00
13 1.20 0.38 0.30 0.32 1.26* 6.54 0.00
14 1.03 0.45 0.23 0.37 2.63* 5.27 0.02
15 0.32 0.83 0.73 1.03 1.21* 5.87 0.00
16 0.67 0.40 0.77 2.56* 0.17 5.44 0.00
17 0.27 0.33 0.45 1.98* 0.52 6.46 0.00
18 1.03* 2.03 1.18 2.61 0.32 2.83 0.00
19 0.30 0.48 0.83 3.51* 0.72 4.16 0.00
20 0.67* 0.28 0.43 0.47 0.30 7.85 0.00
21 1.26 0.98* 0.18 0.25 0.48 6.84 0.00
22 0.73 0.38 0.23 2.91* 0.62 5.12 0.00
23 0.27 0.27 1.25* 0.92 0.67 6.64 0.00
24 0.92 1.08* 0.20 0.20 0.10 7.50 0.00
25 0.25 0.55 0.53 0.75* 0.07 7.85 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 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 11 1
149.0 124.0 99.0 1
148.5 123.5 98.5 11 10
148.0 123.0 2 98.0 3 1
147.5 122.5 97.5 3
147.0 122.0 2 1 97.0 4 2
146.5 121.5 1 96.5
146.0 121.0 96.0 17 5
145.5 120.5 1 95.5 1
145.0 120.0 95.0 23 7
144.5 119.5 3 94.5 2 1
144.0 2 119.0 94.0 3 4
143.5 118.5 1 2 93.5 7 4
143.0 1 118.0 1 93.0 2
142.5 117.5 92.5 17 6
142.0 117.0 1 92.0 1 2
141.5 116.5 91.5 8 10
141.0 116.0 2 1 91.0 4 1
140.5 115.5 90.5 6 4
140.0 115.0 1 90.0 8 5
139.5 1 114.5 89.5 1
139.0 114.0 89.0 21 10
138.5 113.5 1 88.5 1 1
138.0 113.0 88.0 6 3
137.5 112.5 5 87.5 8 3
137.0 112.0 87.0 3 2
136.5 111.5 4 3 86.5 19 9
136.0 111.0 1 86.0 1 1
135.5 110.5 85.5 8 9
135.0 110.0 2 85.0 5
134.5 109.5 84.5 5 6
134.0 109.0 6 1 84.0 10 8
133.5 108.5 83.5 4
133.0 108.0 9 3 83.0 14 12
132.5 107.5 2 82.5 1 2
132.0 107.0 82.0 6 6
131.5 106.5 6 2 81.5 7
131.0 1 106.0 81.0 5 6
130.5 105.5 5 4 80.5 4 5
130.0 1 105.0 1 80.0 2 3
129.5 104.5 7 6 79.5 9 8
129.0 104.0 3 1 79.0 4
128.5 103.5 78.5 4 8
128.0 103.0 6 1 78.0 5 2
127.5 102.5 1 77.5 4 4
127.0 102.0 17 8 77.0 15 4
126.5 101.5 2 76.5 3 1
126.0 101.0 16 4 76.0 3 3
125.5 3 100.5 1 1 75.5 2 1
American Mathematics Competitions
2005 AMC 12 A Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 4 50.0 1 4 25.0
74.5 11 3 49.5 2 24.5
74.0 5 7 49.0 24.0
73.5 8 4 48.5 23.5
73.0 3 1 48.0 1 2 23.0
72.5 6 6 47.5 1 22.5
72.0 2 6 47.0 1 22.0
71.5 1 7 46.5 21.5
71.0 11 6 46.0 21.0
70.5 1 2 45.5 2 20.5
70.0 3 9 45.0 1 1 20.0
69.5 2 4 44.5 1 19.5
69.0 1 8 44.0 19.0
68.5 8 3 43.5 1 18.5
68.0 5 4 43.0 1 18.0 1
67.5 2 4 42.5 17.5
67.0 4 2 42.0 3 17.0
66.5 6 5 41.5 1 16.5
66.0 2 41.0 1 16.0
65.5 2 6 40.5 15.5
65.0 1 2 40.0 15.0
64.5 4 5 39.5 14.5
64.0 4 39.0 14.0
63.5 2 2 38.5 13.5
63.0 1 5 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 3 5 37.0 12.0
61.5 3 4 36.5 11.5
61.0 3 4 36.0 2 11.0
60.5 1 6 35.5 10.5
60.0 2 35.0 1 10.0
59.5 2 3 34.5 9.5
59.0 1 4 34.0 9.0
58.5 3 2 33.5 8.5
58.0 3 2 33.0 2 8.0
57.5 32.5 7.5
57.0 4 4 32.0 7.0
56.5 2 1 31.5 6.5
56.0 3 1 31.0 6.0
55.5 1 30.5 5.5
55.0 2 2 30.0 1 5.0
54.5 1 1 29.5 4.5
54.0 1 4 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 1 1 26.5 1.5
51.0 3 26.0 1.0
50.5 2 3 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 2
143.0 1
139.5 1
131.0 1
130.0 1
125.5 1 2
125.0 1
124.0 1
123.0 2
122.0 1 1 1
121.5 1
120.5 1
119.5 2 1
118.5 3
118.0 1
117.0 1
116.0 1 2
115.0 1
113.5 1
112.5 4 1
111.5 2 5 2
111.0 1
110.0 1 1 1
109.0 5 2
108.0 1 4 8
107.5 1 1
106.5 1 3 4
105.5 1 6 2 1
105.0 1
104.5 1 1 3 9
104.0 4
103.0 3 4 1
102.5 1
102.0 1 4 5 16
101.5 1 1
101.0 1 2 5 13
100.5 1 1
99.5 1 3 8
99.0 1
98.5 5 8 8 1
98.0 1 1 2
97.5 3
97.0 3 3
96.0 1 4 10 7
95.5 1
95.0 5 17 11
94.5 1 2
94.0 1 4 2
93.5 2 7 3
93.0 1 1
92.5 1 3 5 14
92.0 3
91.5 5 13
91.0 1 3 2
90.5 1 2 1 7
90.0 1 7 6
89.5 1 1
89.0 2 4 13 14
88.5 1 1
88.0 7 3
87.5 2 6 3
87.0 2 3
86.5 5 11 12
86.0 2
85.5 3 7 7
85.0 1 4
84.5 1 2 4 3 2
84.0 2 2 9 6
83.5 2 2
83.0 1 5 9 11 1
82.5 1 1 1
82.0 1 6 5
81.5 2 3 3
81.0 4 2 5
80.5 1 4 5
80.0 1 1 3
79.5 2 3 7 6 1
79.0 3 1
78.5 1 1 4 5 1
78.0 4 4
77.5 2 4 2
77.0 1 2 7 9
76.5 1 2 1
76.0 1 5
75.5 2 1
75.0 1 4 4
74.5 1 4 8 1 1
74.0 1 3 7 1
73.5 1 3 3 5
73.0 2 2 1
72.5 1 1 6 5
72.0 1 2 6
71.5 1 4 3
71.0 5 7 5
70.5 2 1
70.0 1 4 7
69.5 3 3
69.0 1 4 4
68.5 2 6 3
68.0 6 3
67.5 2 1 2 1
67.0 1 5
66.5 3 4 4
66.0 1 1
65.5 1 4 3
65.0 2 1
64.5 5 4
64.0 1 3
63.5 4
63.0 1 2 3 1
62.5 2
62.0 1 4 3
61.5 3 3 1
61.0 1 1 2 3
60.5 1 4 2
60.0 2
59.5 1 4 1
59.0 2 3 2
58.5 1 3 1
58.0 1 2 2
57.0 5 4
56.5 1 1 1
56.0 2 2
55.5 1
55.0 2 1 1
54.5 2
54.0 1 4
53.5 1
53.0 1
52.5 1
52.0 1
51.5 1 1
51.0 1 2 1
50.5 1 2 2
50.0 3 2
49.5 1 1
48.0 2 1
47.5 1
47.0 1
45.5 2
45.0 2
44.5 1
43.5 1
43.0 1 1
42.0 1 2
41.5 1
41.0 1
38.0 1
36.0 1 1
35.0 1
33.0 2
30.0 1
25.5 1
18.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Maryland
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 0.02 0.07 0.11 9.46* 0.08 0.26 0.00
2 0.03 9.40* 0.14 0.26 0.03 0.14 0.00
3 0.23 5.33* 0.85 0.32 0.31 2.94 0.01
4 7.22* 0.36 2.27 0.03 0.03 0.09 0.00
5 0.21 7.41* 1.35 0.13 0.02 0.89 0.00
6 0.39 5.61* 0.19 0.20 0.76 2.85 0.00
7 0.52 0.16 7.33* 0.05 0.08 1.87 0.00
8 0.28 0.40 0.22 2.17* 0.20 6.74 0.00
9 4.44* 0.37 0.73 0.21 0.08 4.17 0.00
10 0.32 3.74* 0.11 0.51 0.13 5.19 0.00
11 1.15 0.41 0.35 0.29 3.52* 4.27 0.00
12 0.83 0.16 0.13 4.41* 1.04 3.43 0.01
13 0.12 0.20 0.33 3.36* 0.28 5.71 0.00
14 0.30 0.39 2.95 1.57* 0.27 4.51 0.00
15 0.24 0.26 1.71* 0.65 0.57 6.55 0.01
16 0.19 0.22 0.74 0.75* 0.31 7.78 0.01
17 1.90* 0.67 1.11 0.30 0.29 5.72 0.00
18 0.27* 0.22 0.29 0.15 0.06 9.01 0.00
19 0.85 2.30* 0.77 0.38 0.57 5.13 0.00
20 0.22 0.11 0.15 0.14 0.22* 9.18 0.00
21 0.37 0.30 0.39* 0.12 0.04 8.78 0.00
22 0.22 0.52* 0.17 0.21 0.19 8.70 0.00
23 0.38 0.42* 0.22 0.20 0.53 8.25 0.00
24 0.07 0.10* 0.09 0.17 0.07 9.51 0.00
25 0.26 0.12 0.21* 0.22 0.03 9.17 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 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 1 1
149.0 124.0 99.0 1
148.5 123.5 98.5
148.0 123.0 98.0 2
147.5 122.5 97.5 1
147.0 122.0 1 97.0
146.5 121.5 96.5 1 1
146.0 121.0 96.0 2 1
145.5 120.5 95.5 1 1
145.0 120.0 95.0 1 1
144.5 119.5 94.5 3 2
144.0 119.0 94.0 1
143.5 118.5 93.5 3
143.0 118.0 93.0 1 1
142.5 117.5 92.5 1 1
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5
141.0 116.0 1 91.0 1 2
140.5 115.5 90.5 1
140.0 115.0 90.0 6 2
139.5 114.5 1 89.5 3
139.0 114.0 89.0 2
138.5 113.5 88.5 2
138.0 1 113.0 88.0 2 1
137.5 112.5 1 1 87.5 1
137.0 112.0 1 87.0 2
136.5 111.5 2 86.5 1
136.0 111.0 1 86.0 2 1
135.5 110.5 85.5 2
135.0 110.0 1 85.0 3 2
134.5 109.5 1 1 84.5 1
134.0 109.0 84.0 3 1
133.5 108.5 83.5 1
133.0 108.0 83.0 3 2
132.5 107.5 2 82.5 1 1
132.0 107.0 82.0 1 1
131.5 106.5 2 1 81.5 1 2
131.0 106.0 81.0 2 2
130.5 105.5 2 1 80.5 1 4
130.0 105.0 1 80.0 4
129.5 104.5 79.5 5
129.0 104.0 4 1 79.0 1 2
128.5 103.5 1 78.5 1 3
128.0 103.0 2 78.0 3 2
127.5 102.5 77.5 1
127.0 102.0 77.0 1
126.5 101.5 76.5 2
126.0 101.0 76.0 1
125.5 100.5 2 75.5 3 1
American Mathematics Competitions
2005 AMC 10 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 49.5 24.5
74.0 49.0 1 1 24.0
73.5 1 48.5 1 23.5 1
73.0 2 1 48.0 1 23.0
72.5 1 1 47.5 22.5
72.0 2 1 47.0 22.0
71.5 46.5 2 21.5
71.0 3 46.0 21.0
70.5 1 45.5 20.5
70.0 2 45.0 20.0
69.5 1 1 44.5 1 19.5
69.0 1 1 44.0 19.0
68.5 1 1 43.5 18.5
68.0 2 43.0 18.0
67.5 2 1 42.5 1 17.5
67.0 2 2 42.0 1 17.0
66.5 3 41.5 16.5
66.0 2 41.0 16.0
65.5 1 40.5 15.5
65.0 1 40.0 15.0
64.5 1 39.5 1 1 14.5
64.0 1 39.0 14.0
63.5 1 38.5 1 13.5
63.0 2 2 38.0 13.0
62.5 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 2 36.0 11.0
60.5 2 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 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 1 31.5 6.5
56.0 1 31.0 6.0
55.5 3 30.5 5.5
55.0 1 1 30.0 5.0
54.5 29.5 4.5
54.0 1 29.0 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 1 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
2005 AMC 10 B Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
138.0 1
122.0 1
117.0 1
116.0 1
114.5 1
112.5 2
112.0 1
111.5 1 1
111.0 1
110.0 1
109.5 1 1
107.5 2
106.5 1 2
105.5 1 1 1
105.0 1 1
104.0 2 3
103.5 1
103.0 2
100.5 1 1
99.5 1 1
99.0 1
98.5 1
98.0 3
97.5 1
97.0 1
96.5 1 1
96.0 3
95.5 2
95.0 2 1
94.5 1 4
94.0 1 1
93.5 1 3
93.0 2
92.5 1 1
92.0 1 2
91.0 1 2
90.5 1
90.0 2 4 2
89.5 1 2
89.0 1 1
88.5 1 2
88.0 1 2
87.5 1
87.0 2
86.5 1
86.0 3
85.5 1 1
85.0 2 3
84.5 1
84.0 1 3 1
83.5 1
83.0 3 2
82.5 2
82.0 2
81.5 3
81.0 2 2
80.5 2 3
80.0 2 2
79.5 2 3
79.0 1 2
78.5 1 1 2
78.0 4 1 1
77.5 2 1
77.0 1
76.5 1 1
76.0 1 1
75.5 2 2
74.5 1
73.5 1 1
73.0 1 2
72.5 2
72.0 3
71.0 3
70.5 2
70.0 2
69.5 1 1
69.0 2
68.5 1 1
68.0 2 1
67.5 3
67.0 2 1 1
66.5 2 1
66.0 1 1
65.5 1
65.0 1
64.5 1
64.0 1
63.5 1
63.0 4 1
62.0 1
61.0 2
60.5 1 1
60.0 1
59.5 1
59.0 1
58.5 1
58.0 1
57.5 1
56.5 1
56.0 1
55.5 1 2
55.0 2
54.0 1
53.5 1
52.0 1 1
51.5 1
49.0 2
48.5 1
48.0 1
46.5 2
44.5 1
42.5 1
42.0 1
39.5 1 1
38.5 1
23.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Maryland
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 8.75* 0.35 0.31 0.04 0.51 0.04 0.00
2 0.12 0.31 0.24 8.59* 0.08 0.67 0.00
3 0.00 0.75 1.65 6.47* 0.82 0.31 0.00
4 0.86 0.04 0.51 6.04* 0.16 2.39 0.00
5 0.12 0.00 9.06* 0.24 0.35 0.24 0.00
6 0.08 8.67* 0.12 0.08 0.39 0.67 0.00
7 1.25 1.53* 0.31 1.37 0.43 5.10 0.00
8 6.86* 0.04 1.06 0.04 0.04 1.96 0.00
9 0.39 0.82 1.37 5.49* 0.82 1.10 0.00
10 1.96* 0.63 0.51 0.35 0.35 6.20 0.00
11 0.16 0.47 0.20 2.35 2.24* 4.59 0.00
12 0.43 1.41 0.78 0.39 0.55* 6.43 0.00
13 0.51 0.67 1.76* 2.12 0.31 4.63 0.00
14 0.31 0.31 2.78* 1.84 0.59 4.16 0.00
15 1.06 0.39 1.06 4.59* 0.55 2.35 0.00
16 0.20 0.71 1.02 0.35* 0.00 7.73 0.00
17 0.55 3.02* 0.94 0.43 0.12 4.94 0.00
18 0.47 4.31 0.94 2.16* 0.67 1.45 0.00
19 0.59 5.73* 0.59 0.59 0.24 2.27 0.00
20 0.75 0.39 0.94* 0.35 0.20 7.37 0.00
21 0.31* 0.35 0.35 0.35 0.24 8.39 0.00
22 0.43 0.98 0.47* 0.20 0.24 7.69 0.00
23 2.55 0.67 0.67* 0.12 0.31 5.69 0.00
24 0.47 0.27 0.16 0.43 1.22* 7.45 0.00
25 0.39 0.16 3.53* 0.31 0.27 5.33 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 Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5 10 1
149.0 124.0 99.0
148.5 123.5 98.5 7 6
148.0 123.0 2 98.0 6
147.5 122.5 1 97.5 3
147.0 122.0 2 97.0 4 5
146.5 121.5 96.5
146.0 121.0 96.0 11 4
145.5 120.5 2 95.5 1
145.0 120.0 95.0 7 6
144.5 119.5 94.5 5 1
144.0 119.0 94.0 1
143.5 118.5 93.5 2 2
143.0 1 118.0 1 93.0 2
142.5 117.5 92.5 7 5
142.0 117.0 3 92.0 1 1
141.5 116.5 91.5 4
141.0 116.0 5 91.0 9 2
140.5 115.5 90.5 1
140.0 115.0 1 1 90.0 5 1
139.5 114.5 89.5 2
139.0 114.0 89.0 13 7
138.5 113.5 4 3 88.5 4
138.0 113.0 88.0 3 2
137.5 112.5 2 1 87.5 2
137.0 1 112.0 87.0 2
136.5 111.5 3 86.5 11 2
136.0 111.0 1 86.0 2 1
135.5 110.5 85.5 4
135.0 110.0 5 5 85.0 6
134.5 1 109.5 84.5 2 2
134.0 109.0 5 2 84.0 4 3
133.5 1 108.5 83.5 2 2
133.0 108.0 2 4 83.0 9 7
132.5 107.5 2 1 82.5 2 2
132.0 107.0 82.0 2 4
131.5 106.5 4 81.5 2 4
131.0 1 106.0 81.0 4 1
130.5 105.5 3 80.5 2 2
130.0 1 105.0 1 80.0 2 1
129.5 104.5 4 79.5 2 1
129.0 104.0 2 1 79.0
128.5 103.5 1 78.5 1 1
128.0 103.0 5 1 78.0 2 3
127.5 1 102.5 1 77.5
127.0 102.0 6 1 77.0 3 2
126.5 2 101.5 2 1 76.5 2
126.0 101.0 10 3 76.0 3 3
125.5 1 100.5 2 1 75.5 1 2
American Mathematics Competitions
2005 AMC 12 B Results for Maryland
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 1 50.0 25.0
74.5 4 1 49.5 1 24.5
74.0 1 1 49.0 1 24.0
73.5 3 2 48.5 1 23.5
73.0 3 3 48.0 2 23.0 1
72.5 2 1 47.5 22.5
72.0 6 47.0 1 1 22.0
71.5 2 2 46.5 1 21.5
71.0 3 1 46.0 1 21.0
70.5 1 45.5 20.5
70.0 1 3 45.0 1 20.0
69.5 2 44.5 19.5
69.0 3 3 44.0 1 19.0
68.5 3 43.5 18.5
68.0 2 43.0 18.0
67.5 2 3 42.5 1 17.5
67.0 1 2 42.0 2 2 17.0
66.5 1 6 41.5 1 16.5
66.0 1 1 41.0 16.0
65.5 3 40.5 15.5
65.0 40.0 15.0
64.5 2 1 39.5 14.5
64.0 3 3 39.0 14.0
63.5 2 38.5 13.5
63.0 1 1 38.0 13.0
62.5 2 1 37.5 1 1 12.5
62.0 37.0 12.0
61.5 3 36.5 11.5
61.0 2 1 36.0 1 11.0
60.5 2 35.5 10.5
60.0 3 2 35.0 10.0
59.5 1 2 34.5 9.5
59.0 1 2 34.0 9.0
58.5 1 1 33.5 8.5
58.0 3 1 33.0 8.0
57.5 2 3 32.5 7.5
57.0 1 32.0 7.0
56.5 2 3 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 2 5.0
54.5 29.5 4.5
54.0 2 1 29.0 4.0
53.5 28.5 3.5
53.0 2 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 1 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Maryland
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
143.0 1
137.0 1
134.5 1
133.5 1 1
131.0 1
130.0 1
127.5 1
126.5 1 1
125.5 1
123.0 1 1
122.5 1
122.0 2
120.5 1 1
118.5 1
118.0 1
117.0 1 1 1
116.0 2 2 1
115.0 2
113.5 1 3 3
112.5 1 1 1
111.5 1 1 1
111.0 1
110.0 4 4 2
109.0 1 4 2 1
108.0 1 1 2 2
107.5 1 2
106.5 1 2 1
105.5 2 1
105.0 1
104.5 4
104.0 2 1
103.5 1
103.0 5 1
102.5 1
102.0 1 4 2
101.5 3 1
101.0 1 2 7 4
100.5 1 1 1 1
99.5 1 1 6 4
98.5 2 3 4 4
98.0 1 4 1
97.5 2 1
97.0 1 4 4
96.0 3 11 2
95.5 1
95.0 4 5 5
94.5 3 5
94.0 1
93.5 2 2
93.0 1 2
92.5 1 1 2 8
92.0 2
91.5 1 2 1
91.0 2 4 5
90.5 1
90.0 1 3 2 1
89.5 1 1
89.0 4 10 6
88.5 1 1 2
88.0 1 2 3
87.5 1 1
87.0 1 1
86.5 1 7 6
86.0 3
85.5 2 2
85.0 2 4
84.5 3 1
84.0 1 6
83.5 2 2
83.0 2 9 5
82.5 1 3
82.0 1 5
81.5 5 1
81.0 1 3 1
80.5 3 1 1
80.0 1 1 1
79.5 2 1
78.5 1 1
78.0 4 1
77.5 1
77.0 4 2
76.5 3
76.0 3 3
75.5 1 1 1
75.0 1 2 1
74.5 2 2 1
74.0 1 1
73.5 2 2 1
73.0 1 1 3 1
72.5 3
72.0 5 1
71.5 1 1 2
71.0 3 1
70.5 1
70.0 1 1 2
69.5 1 1
69.0 4 2
68.5 2 1
68.0 2
67.5 5
67.0 2 2
66.5 5 1 1
66.0 1 1
65.5 1 2
64.5 1 1 1
64.0 1 3 2
63.5 1 2
63.0 1 1
62.5 1 2
61.5 3
61.0 2 1
60.5 2
60.0 1 4
59.5 2 1
59.0 1 2
58.5 2 1
58.0 2 2
57.5 4 1
57.0 1
56.5 1 1 2 2
56.0 1
55.5 1
54.0 2 1
53.0 1 1
51.5 1
51.0 1 1
50.5 1
49.5 2
49.0 1
48.5 1
48.0 1 1
47.0 1 1
46.5 1
46.0 1
45.0 1
44.0 1
43.5 1
42.5 1
42.0 2 2
41.5 1
37.5 1 1
36.0 1 1
30.0 1 2
23.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Maryland
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 9.09* 0.24 0.30 0.17 0.17 0.02 0.00
2 0.10 0.10 0.10 9.39* 0.12 0.17 0.00
3 0.09 0.07 9.18* 0.16 0.28 0.21 0.02
4 0.12 9.13* 0.17 0.16 0.09 0.33 0.00
5 8.00* 0.12 0.77 0.09 0.07 0.96 0.00
6 4.02* 0.73 0.45 0.28 0.38 4.13 0.00
7 0.73 1.45 0.26 3.52* 0.44 3.61 0.00
8 1.34 1.46 5.38* 0.09 0.84 0.89 0.00
9 0.28 8.14* 0.24 0.38 0.19 0.77 0.00
10 0.24 0.45 0.21 1.93 4.48* 2.68 0.00
11 1.52 1.03 0.63 4.08* 0.40 2.35 0.00
12 0.30 0.84 0.77 1.74* 0.16 6.20 0.00
13 0.45 0.40 0.31 2.89* 0.14 5.80 0.00
14 0.92 1.13 0.85 0.31 1.79* 4.98 0.00
15 0.68 0.24 0.49 5.21* 0.45 2.93 0.00
16 0.57 0.42 1.08 1.11* 0.35 6.46 0.00
17 0.57 1.05* 0.26 0.30 0.94 6.88 0.00
18 1.34 0.77 0.61* 0.56 0.49 6.24 0.00
19 0.35 0.33 0.24 0.35 2.46* 6.27 0.00
20 0.16 0.44 4.55* 0.66 1.55 2.65 0.00
21 0.10 0.31 0.85* 0.63 0.21 7.89 0.00
22 0.35 0.82 0.26 0.24 0.19* 8.14 0.00
23 0.28 0.33* 0.33 0.09 0.05 8.92 0.00
24 0.40* 0.30 0.38 0.24 0.17 8.50 0.00
25 0.38* 0.42 0.23 0.24 0.47 8.26 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column