American Mathematics Competitions
2005 AMC 10 A Results for Maine
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 429
Number of unofficial participants: 0
Average score of participants: 65.8
Average score for female students is: 64.9 ( 205 Students)
Average score for male students is: 66.9 ( 207 Students)
Average score for unspecified gender is 63.2 ( 17 Students)
Average score for grade 10 is: 68.8 ( 226 Students)
Average score for grade 9 is: 62.0 ( 193 Students)
Average score for grade 8 and below is: 78.4 ( 7 Students)
Average score with unknown grade: 60.2 ( 3 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 15
Average school winning score 94.87
American Mathematics Competitions
2005 AMC 12 A Results for Maine
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 547
Number of unofficial participants: 0
Average score of participants: 73.8
Average score for female students is: 69.2 ( 246 Students)
Average score for male students is: 78.0 ( 284 Students)
Average score for unspecified gender is 68.3 ( 17 Students)
Average score for grade 13 is: 80.3 ( 4 Students)
Average score for grade 12 is: 76.7 ( 224 Students)
Average score for grade 11 is: 71.6 ( 254 Students)
Average score for grade 10 is: 72.3 ( 44 Students)
Average score for grade 9 is: 69.4 ( 10 Students)
Average score for grade 8 and below is: 75.0 ( 1 Student)
Average score with unknown grade: 71.8 ( 10 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 38
Number of schools returning results 17
Average school winning score 102.35
Average school team score 288.35
American Mathematics Competitions
2005 AMC 10 B Results for Maine
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 215
Number of unofficial participants: 0
Average score of participants: 76.7
Average score for female students is: 74.4 ( 86 Students)
Average score for male students is: 78.5 ( 121 Students)
Average score for unspecified gender is 72.9 ( 8 Students)
Average score for grade 10 is: 78.5 ( 129 Students)
Average score for grade 9 is: 73.6 ( 77 Students)
Average score for grade 8 and below is: 88.0 ( 1 Student)
Average score with unknown grade: 74.9 ( 8 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 7
Average school winning score 109.93
American Mathematics Competitions
2005 AMC 12 B Results for Maine
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 360
Number of unofficial participants: 0
Average score of participants: 83.9
Average score for female students is: 80.6 ( 142 Students)
Average score for male students is: 86.2 ( 213 Students)
Average score for unspecified gender is 81.9 ( 5 Students)
Average score for grade 12 is: 85.4 ( 163 Students)
Average score for grade 11 is: 82.1 ( 150 Students)
Average score for grade 10 is: 84.9 ( 36 Students)
Average score for grade 9 is: 84.7 ( 9 Students)
Average score with unknown grade: 79.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 32
Number of schools returning results 14
Average school winning score 110.82
Average school team score 314.29
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
354.5 1 1
352.5 1 2
350.5 1 3
349.5 1 4
335.5 1 5
333.0 1 6
326.0 1 7
325.5 1 8
323.0 1 9
321.5 1 10
320.0 1 11
316.0 1 12
314.0 1 13
311.0 1 14
303.5 1 15
300.5 1 16
299.5 1 1 17
296.0 1 19
291.5 1 20
289.5 1 21
281.0 1 22
264.5 1 23
263.5 1 24
263.0 1 25
260.5 1 26
259.0 1 27
255.5 1 28
250.0 1 29
247.0 1 30
245.5 1 31
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
130.0 1
129.0 1
126.5 1
125.5 1
122.0 1
119.5 1 1
118.5 1 1 2
117.0 1
116.0 1
115.0 1
113.5 1
112.5 3 3
111.5 3 1
111.0 2 1
110.0 1 1
109.0 1 2 1
108.0 5 4 1
107.5 1 1
107.0 1
106.5 1 3 2
106.0 1
105.5 2 3 1
105.0 2
104.5 1 1
104.0 1 1
103.0 1
102.0 5 3 2
101.0 3 4
100.5 2
99.5 1 3 2 1
98.5 3 5 1
98.0 2 1
97.5 1 1 2
97.0 2 2 2
96.0 2 7 3 1
95.5 1
95.0 7 7 1 2
94.5 1 4 1 2
94.0 3 2 1 1
93.5 10 3
93.0 1 2
92.5 4 7 3 3
92.0 2 2 1 2
91.5 5 11 2
91.0 1 2 3
90.5 4 4 1 1
90.0 6 18 3 6
89.5 1
89.0 8 18 1
88.5 3 1
88.0 10 6 3 3
87.5 5 2 4 2
87.0 3 3
86.5 7 9 2 3
86.0 1 1 1
85.5 7 11 1 1
85.0 3 4 2
84.5 14 6 2 1
84.0 4 5 3 6
83.5 6 1 1 2
83.0 10 12 8 5
82.5 1 2 4
82.0 3 9 2 2
81.5 1 8 1
81.0 7 4 3 2
80.5 3 4 6 4
80.0 5 8 2 2
79.5 14 5 8 6
79.0 2 2 1 3
78.5 12 14 5 2
78.0 5 7 3 2
77.5 9 1 5
77.0 9 18 2 3
76.5 6 2 1 1
76.0 12 5 6
75.5 2 1 2 9
75.0 9 4 9 2
74.5 9 6 2 7
74.0 10 3 6 4
73.5 9 2 9 4
73.0 3 1
72.5 6 1 15 2
72.0 3 2 4
71.5 15 3 3 3
71.0 7 3 10 6
70.5 3 5 6 2
70.0 8 6 9 2
69.5 2 1 2 4
69.0 9 1 11 3
68.5 2 1 5 3
68.0 11 4 4
67.5 9 1 7 5
67.0 7 2 4 1
66.5 15 2 9
66.0 3 2 7 2
65.5 4 1 9 1
65.0 6 3 4 4
64.5 6 2 7
64.0 11 7 1
63.5 2 5
63.0 6 2 8 1
62.5 3 1 7 5
62.0 6 2 1
61.5 7 1 9
61.0 6 4 3
60.5 8 2 2
60.0 3 3 4 1
59.5 3 1 2 1
59.0 3 6
58.5 3 5 1
58.0 8 6 1
57.5 1 3 1
57.0 6 9 1
56.5 3 1 2 3
56.0 5 5 1
55.5 2 4
55.0 3
54.5 3 5
54.0 4 5
53.5 2 7 1
53.0 2 1 1
52.5 3 1 5
52.0 3 5
51.5 4 3
51.0 3 2 2
50.5 1 1 3 1
50.0 1 1 2
49.5 4 3
49.0 1 5 2
48.5 2 1
48.0 6 1 7
47.5 3
47.0 2 1 1
46.5 1 3 1
46.0 2
45.5 1 1 1
45.0 1 1 2
44.5 2
44.0 1
43.5 1
43.0 1
42.5 1 4
42.0 1 1 1 1
41.5 1
41.0 1 2
40.5 1
40.0 2
39.5 1
38.5 3 1 1
38.0 1
36.5 2
36.0 1 3
34.0 1
33.5 1 2
32.5 2 1
31.0 1
30.0 4
29.0 1 1
28.0 1
24.0 2 2
22.0 1
21.0 1
20.0 1
14.5 1
1
American Mathematics Competitions
2005 AMC 10 A Results for Maine
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
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 96.5
146.0 121.0 96.0 1 2
145.5 120.5 95.5
145.0 120.0 95.0 1
144.5 119.5 94.5 1
144.0 119.0 94.0 1
143.5 118.5 93.5
143.0 118.0 93.0 1
142.5 117.5 92.5 1 2
142.0 117.0 92.0 1
141.5 116.5 91.5
141.0 116.0 1 91.0
140.5 115.5 90.5 1
140.0 115.0 90.0 3
139.5 114.5 89.5
139.0 114.0 89.0 1
138.5 113.5 1 88.5
138.0 113.0 88.0 1 2
137.5 112.5 87.5 2 2
137.0 112.0 87.0
136.5 111.5 86.5 1
136.0 111.0 86.0 1
135.5 110.5 85.5 1
135.0 110.0 85.0 3 1
134.5 109.5 84.5 2
134.0 109.0 1 84.0 2 1
133.5 108.5 83.5 1
133.0 108.0 1 83.0 6 2
132.5 107.5 82.5 2
132.0 107.0 82.0 2
131.5 106.5 81.5
131.0 106.0 81.0 2 1
130.5 105.5 1 80.5 2 3
130.0 105.0 80.0 1
129.5 104.5 79.5 4 4
129.0 104.0 79.0 1
128.5 103.5 78.5 1 4
128.0 103.0 78.0 3
127.5 102.5 77.5 2 3
127.0 102.0 77.0 2
126.5 101.5 76.5 1
126.0 101.0 76.0 5 1
125.5 100.5 75.5 2
American Mathematics Competitions
2005 AMC 10 A Results for Maine
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 6 50.0 1 25.0
74.5 1 1 49.5 1 2 24.5
74.0 1 5 49.0 1 3 24.0 1 1
73.5 4 5 48.5 1 1 23.5
73.0 48.0 2 2 23.0
72.5 7 8 47.5 2 1 22.5
72.0 1 1 47.0 1 22.0 1
71.5 2 46.5 3 21.5
71.0 7 2 46.0 2 21.0 1
70.5 4 2 45.5 1 20.5
70.0 4 4 45.0 1 1 20.0 1
69.5 1 1 44.5 2 19.5
69.0 6 5 44.0 19.0
68.5 1 3 43.5 1 18.5
68.0 2 2 43.0 18.0
67.5 3 4 42.5 3 1 17.5
67.0 1 3 42.0 1 17.0
66.5 4 5 41.5 16.5
66.0 4 3 41.0 1 1 16.0
65.5 5 4 40.5 15.5
65.0 1 3 40.0 2 15.0
64.5 3 4 39.5 1 14.5
64.0 1 6 39.0 14.0
63.5 4 38.5 1 13.5
63.0 4 4 38.0 13.0
62.5 5 2 37.5 12.5
62.0 37.0 12.0
61.5 3 6 36.5 1 1 11.5
61.0 2 2 36.0 1 2 11.0
60.5 1 1 35.5 10.5
60.0 1 2 35.0 10.0
59.5 2 34.5 9.5
59.0 3 3 34.0 9.0
58.5 3 2 33.5 1 8.5
58.0 3 3 33.0 8.0
57.5 3 32.5 1 7.5
57.0 4 5 32.0 7.0
56.5 2 31.5 6.5
56.0 2 3 31.0 6.0
55.5 2 2 30.5 5.5
55.0 3 30.0 5.0
54.5 4 1 29.5 4.5
54.0 4 1 29.0 1 4.0
53.5 4 3 28.5 3.5
53.0 1 28.0 1 3.0
52.5 2 3 27.5 2.5
52.0 1 4 27.0 2.0
51.5 2 1 26.5 1.5
51.0 2 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Maine
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
116.0 1
113.5 1
109.0 1
108.0 1
107.5 1
105.5 1
99.5 2
96.0 1 2
95.0 1
94.5 1
94.0 1
93.0 1
92.5 1 2
92.0 1
90.5 1
90.0 1 2
89.0 1
88.0 1 2
87.5 1 3
86.5 2
86.0 1
85.5 1
85.0 2 2
84.5 1 1
84.0 3
83.5 1
83.0 3 3 2
82.5 2
82.0 1 1
81.0 3
80.5 1 5
80.0 2
79.5 8
79.0 1
78.5 1 4
78.0 1 1 1
77.5 3 2
77.0 2
76.5 1
76.0 3 3
75.5 2
75.0 5 4
74.5 1 1
74.0 3 3
73.5 3 6
72.5 6 8 1
72.0 2
71.5 3
71.0 3 7
70.5 1 5
70.0 5 4
69.5 2
69.0 8 3
68.5 2 3
68.0 1 3
67.5 3 4
67.0 1 3
66.5 6 3
66.0 1 4 2
65.5 8 1
65.0 2 2
64.5 3 4
64.0 5 2
63.5 2 3
63.0 2 6
62.5 1 6
61.5 5 4
61.0 3 1
60.5 2
60.0 2 1 1
59.5 2
59.0 2 4
58.5 2 3
58.0 3 3
57.5 1 2
57.0 7 2
56.5 2
56.0 3 2
55.5 3 1
55.0 1 2
54.5 3 2
54.0 2 3
53.5 5 2
53.0 1
52.5 2 3
52.0 3 2
51.5 2 1
51.0 1 1
50.5 3
50.0 2
49.5 2 1
49.0 2 3
48.5 1 1
48.0 3 3 1
47.5 2 1
47.0 1
46.5 1 2
46.0 2
45.5 1
45.0 2
44.5 1 1
43.5 1
42.5 2 2
42.0 1
41.0 2
40.0 2
39.5 1
38.5 1
38.0 1
36.5 2
36.0 1 2
34.0 1
33.5 1
32.5 1
29.0 1
28.0 1
24.0 2
22.0 1
21.0 1
20.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Maine
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 0.30 0.12 0.51 7.90* 0.79 0.37 0.00
2 0.30 0.14 3.94* 0.14 1.84 3.64 0.00
3 0.09 8.23* 0.44 0.65 0.14 0.44 0.00
4 0.54 0.93* 2.19 0.68 0.54 5.13 0.00
5 4.83* 0.33 4.57 0.14 0.02 0.12 0.00
6 0.56 3.47* 4.27 0.14 0.07 1.49 0.00
7 0.79 2.66* 0.26 0.61 1.00 4.69 0.00
8 1.52 0.44 2.33* 0.16 0.28 5.27 0.00
9 1.63 5.34* 0.96 0.33 0.21 1.54 0.00
10 0.79* 0.33 1.17 0.35 0.14 7.23 0.00
11 0.68 1.63* 0.21 0.79 0.14 6.55 0.00
12 0.19 0.51* 0.65 0.26 0.49 7.90 0.00
13 1.31 0.44 0.40 0.23 0.51* 7.11 0.00
14 0.75 0.82 0.37 0.54 1.86* 5.64 0.02
15 0.47 0.75 0.33 0.72 0.51* 7.23 0.00
16 1.00 0.44 0.65 1.45* 0.23 6.22 0.00
17 0.37 0.40 0.37 1.70* 0.54 6.62 0.00
18 1.28* 2.03 1.68 2.52 0.42 2.07 0.00
19 0.49 0.63 0.93 2.12* 1.07 4.76 0.00
20 0.23* 0.28 0.82 0.37 0.26 8.04 0.00
21 1.42 0.58* 0.16 0.33 0.56 6.95 0.00
22 0.98 0.49 0.33 1.40* 0.44 6.36 0.00
23 0.26 0.44 1.03* 1.05 0.49 6.74 0.00
24 0.63 0.54* 0.30 0.28 0.05 8.21 0.00
25 0.23 0.47 1.07 0.82* 0.21 7.20 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 Maine
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 3
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 1 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 2
145.5 120.5 95.5
145.0 120.0 95.0 3 4
144.5 119.5 1 94.5 1
144.0 119.0 94.0 3
143.5 118.5 1 93.5
143.0 118.0 93.0
142.5 117.5 92.5 3 1
142.0 117.0 92.0 2
141.5 116.5 91.5 2 3
141.0 116.0 91.0 1
140.5 115.5 90.5 2 2
140.0 115.0 90.0 5 1
139.5 114.5 89.5
139.0 114.0 89.0 7 1
138.5 113.5 88.5
138.0 113.0 88.0 6 4
137.5 112.5 2 1 87.5 3 2
137.0 112.0 87.0 1 1
136.5 111.5 3 86.5 6 1
136.0 111.0 2 86.0 1
135.5 110.5 85.5 4 3
135.0 110.0 1 85.0
134.5 109.5 84.5 11 3
134.0 109.0 1 84.0 4
133.5 108.5 83.5 2 4
133.0 108.0 4 83.0 5 4
132.5 107.5 1 82.5 1
132.0 107.0 82.0 2 1
131.5 106.5 1 81.5 1
131.0 106.0 81.0 2 4
130.5 105.5 2 80.5 2 1
130.0 1 105.0 2 80.0 2 3
129.5 104.5 1 79.5 11 3
129.0 104.0 1 79.0 2
128.5 103.5 78.5 5 6
128.0 103.0 78.0 1 3
127.5 102.5 77.5 2 6
127.0 102.0 4 1 77.0 5 4
126.5 101.5 76.5 3 3
126.0 101.0 2 1 76.0 7 5
125.5 1 100.5 2 75.5 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Maine
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 5 50.0 1 25.0
74.5 6 3 49.5 3 24.5
74.0 4 6 49.0 1 24.0 2
73.5 6 3 48.5 23.5
73.0 2 1 48.0 2 3 23.0
72.5 3 3 47.5 22.5
72.0 3 47.0 2 22.0
71.5 4 11 46.5 1 21.5
71.0 1 6 46.0 21.0
70.5 1 2 45.5 1 20.5
70.0 1 7 45.0 1 20.0
69.5 1 1 44.5 19.5
69.0 3 6 44.0 19.0
68.5 2 43.5 18.5
68.0 6 5 43.0 18.0
67.5 3 5 42.5 17.5
67.0 2 5 42.0 1 17.0
66.5 7 8 41.5 1 16.5
66.0 1 1 41.0 1 16.0
65.5 4 40.5 1 15.5
65.0 4 1 40.0 15.0
64.5 4 2 39.5 14.5
64.0 3 7 39.0 14.0
63.5 1 1 38.5 1 2 13.5
63.0 3 3 38.0 13.0
62.5 2 1 37.5 12.5
62.0 2 4 37.0 12.0
61.5 2 5 36.5 11.5
61.0 4 2 36.0 1 11.0
60.5 3 5 35.5 10.5
60.0 1 2 35.0 10.0
59.5 2 1 34.5 9.5
59.0 1 2 34.0 9.0
58.5 2 1 33.5 8.5
58.0 2 5 33.0 8.0
57.5 1 32.5 2 7.5
57.0 3 3 32.0 7.0
56.5 3 31.5 6.5
56.0 2 2 31.0 1 6.0
55.5 1 1 30.5 5.5
55.0 30.0 2 2 5.0
54.5 1 2 29.5 4.5
54.0 2 2 29.0 1 4.0
53.5 2 28.5 3.5
53.0 1 1 28.0 3.0
52.5 1 2 27.5 2.5
52.0 1 1 27.0 2.0
51.5 3 1 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 1
American Mathematics Competitions
2005 AMC 12 A Results for Maine
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
125.5 1
122.0 1
119.5 1
118.5 1
112.5 1 2
111.5 1 2
111.0 2
110.0 1
109.0 1
108.0 5
107.5 1
106.5 1
105.5 2
105.0 1 1
104.5 1
104.0 1
102.0 1 1 3
101.0 3
100.5 1 1
99.5 1
98.5 1 2
97.5 1
97.0 1 1
96.0 2
95.0 3 4
94.5 1
94.0 2 1
92.5 1 3
92.0 2
91.5 1 2 2
91.0 1
90.5 2 1 1
90.0 2 4
89.0 1 7
88.0 1 5 4
87.5 3 2
87.0 1 1 1
86.5 2 4 1
86.0 1
85.5 1 2 4
84.5 1 6 7
84.0 2 2
83.5 1 1 1 3
83.0 1 3 5 1
82.5 1
82.0 1 1 1
81.5 1
81.0 1 3 3
80.5 2 1
80.0 3 2
79.5 2 10 2
79.0 1 1
78.5 1 6 5
78.0 3 2
77.5 2 7
77.0 1 3 5
76.5 3 3
76.0 1 8 3
75.5 2
75.0 1 1 3 4
74.5 4 5
74.0 6 4
73.5 2 5 2
73.0 2 1
72.5 1 1 4
72.0 3
71.5 1 9 4 1
71.0 1 6
70.5 3
70.0 1 4 3
69.5 1 1
69.0 2 7
68.5 1 1
68.0 1 6 4
67.5 1 6 2
67.0 1 1 3 2
66.5 1 7 7
66.0 2 1
65.5 2 1 1
65.0 4 2
64.5 2 4
64.0 1 10
63.5 2
63.0 2 4
62.5 1 2
62.0 1 1 4
61.5 5 2
61.0 1 2 3
60.5 1 5 2
60.0 1 2
59.5 1 2
59.0 2 1
58.5 3
58.0 5 1 1 1
57.5 1
57.0 1 4 1
56.5 2 1
56.0 1 2 2
55.5 1 1
54.5 1 2
54.0 1 3
53.5 2
53.0 1 1
52.5 3
52.0 1 1 1
51.5 2 2
50.5 1
50.0 1
49.5 2 1 1
49.0 1
48.0 3 3
47.0 2
46.5 1
45.5 1
45.0 1
42.5 1
42.0 1
41.5 1
41.0 1
40.5 1
38.5 2 1
36.0 1
32.5 1 1
31.0 1
30.0 3 1
29.0 1
24.0 1 1
1
American Mathematics Competitions
2005 AMC 12 A Results for Maine
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 0.05 0.15 0.11 9.05* 0.24 0.38 0.02
2 0.09 9.18* 0.29 0.22 0.07 0.15 0.00
3 0.53 2.60* 1.57 0.49 0.40 4.39 0.02
4 6.51* 0.40 2.87 0.05 0.05 0.11 0.00
5 0.18 5.43* 2.83 0.18 0.15 1.22 0.00
6 0.66 3.86* 0.27 0.44 0.60 4.17 0.00
7 0.91 0.33 5.39* 0.02 0.13 3.22 0.00
8 0.26 0.55 0.24 1.81* 0.31 6.84 0.00
9 2.63* 0.37 1.06 0.29 0.05 5.59 0.00
10 0.44 2.23* 0.24 0.53 0.15 6.42 0.00
11 1.15 0.42 0.16 0.40 3.38* 4.46 0.02
12 1.19 0.31 0.35 2.67* 1.08 4.39 0.02
13 0.22 0.31 0.27 2.47* 0.44 6.29 0.00
14 0.29 0.40 3.38 0.91* 0.33 4.68 0.00
15 0.15 0.42 1.08* 0.82 0.53 7.00 0.00
16 0.18 0.31 0.53 0.44* 0.42 8.12 0.00
17 1.32* 1.06 1.08 0.26 0.26 6.03 0.00
18 0.24* 0.18 0.20 0.42 0.22 8.74 0.00
19 0.90 1.81* 0.84 0.46 0.91 5.08 0.00
20 0.18 0.15 0.24 0.16 0.16* 9.10 0.00
21 0.51 0.44 0.24* 0.26 0.02 8.54 0.00
22 0.46 0.33* 0.22 0.16 0.27 8.56 0.00
23 0.46 0.31* 0.16 0.31 0.46 8.30 0.00
24 0.09 0.22* 0.13 0.15 0.05 9.36 0.00
25 0.31 0.20 0.29* 0.15 0.09 8.96 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 Maine
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 1
147.5 122.5 97.5 2
147.0 122.0 97.0 1 1
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5 1
145.0 120.0 95.0 2
144.5 119.5 1 94.5 2
144.0 119.0 94.0 1
143.5 118.5 2 93.5 1 2
143.0 118.0 93.0 2
142.5 117.5 92.5 1 2
142.0 117.0 92.0 2
141.5 116.5 91.5 2
141.0 116.0 91.0 1 2
140.5 115.5 90.5 1
140.0 115.0 90.0 4 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 3
137.5 112.5 87.5 1 1
137.0 112.0 87.0
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 1
134.5 109.5 84.5 1
134.0 109.0 84.0 2 4
133.5 108.5 83.5 2
133.0 108.0 83.0 3 2
132.5 107.5 82.5 2 2
132.0 107.0 82.0 1 1
131.5 106.5 1 1 81.5 1
131.0 106.0 1 81.0 2
130.5 105.5 80.5 3 1
130.0 105.0 80.0 2
129.5 104.5 79.5 1 5
129.0 104.0 1 79.0 2
128.5 103.5 78.5 1
128.0 103.0 1 78.0 1 1
127.5 102.5 77.5
127.0 102.0 2 77.0 2 1
126.5 101.5 76.5 1
126.0 101.0 76.0
125.5 100.5 75.5 5 3
American Mathematics Competitions
2005 AMC 10 B Results for Maine
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 25.0
74.5 4 3 49.5 24.5
74.0 2 2 49.0 1 1 24.0
73.5 2 2 48.5 1 23.5
73.0 1 48.0 23.0
72.5 1 1 47.5 22.5
72.0 2 2 47.0 22.0
71.5 3 46.5 1 21.5
71.0 3 3 46.0 21.0
70.5 2 45.5 1 20.5
70.0 2 45.0 20.0
69.5 1 2 44.5 19.5
69.0 1 2 44.0 19.0
68.5 2 1 43.5 18.5
68.0 2 2 43.0 1 18.0
67.5 2 2 42.5 17.5
67.0 42.0 1 17.0
66.5 41.5 16.5
66.0 1 1 41.0 16.0
65.5 1 40.5 15.5
65.0 2 2 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 38.5 1 13.5
63.0 1 38.0 13.0
62.5 5 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 2 1 36.0 11.0
60.5 2 35.5 10.5
60.0 35.0 10.0
59.5 1 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 2 8.5
58.0 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 1 2 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 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 1 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Maine
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
119.5 1
118.5 2
106.5 1 1
106.0 1
104.0 1
103.0 1
102.0 2
99.5 1
98.5 1
98.0 1
97.5 2
97.0 1 1
96.0 1
95.5 1
95.0 2
94.5 1 1
94.0 1
93.5 3
93.0 2
92.5 3
92.0 1 1
91.5 1 1
91.0 2 1
90.5 1
90.0 2 4
88.5 1
88.0 1 1 1
87.5 2
86.5 1 2
85.5 1
85.0 2
84.5 1
84.0 1 5
83.5 2
83.0 1 4
82.5 1 3
82.0 2
81.5 1
81.0 2
80.5 1 3
80.0 1 1
79.5 3 3
79.0 2 1
78.5 1 1
78.0 2
77.0 2 1
76.5 1
75.5 1 7 1
75.0 2
74.5 4 3
74.0 4
73.5 2 1 1
73.0 1
72.5 1 1
72.0 2 2
71.5 1 2
71.0 3 2 1
70.5 1 1
70.0 2
69.5 3 1
69.0 2 1
68.5 1 2
68.0 2 2
67.5 2 2 1
67.0 1
66.0 1 1
65.5 1
65.0 1 3
64.0 1
63.0 1
62.5 3 2
62.0 1
61.0 3
60.5 2
60.0 1
59.5 1
58.5 1
58.0 1
57.5 1
57.0 1
56.5 2 1
56.0 1
53.5 1
53.0 1
51.0 1 1
50.5 1
49.0 1 1
48.5 1
46.5 1
45.5 1
43.0 1
42.0 1
38.5 1
33.5 2
American Mathematics Competitions
2005 AMC 10 B Results for Maine
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 8.93* 0.42 0.37 0.05 0.23 0.00 0.00
2 0.09 0.23 0.19 8.23* 0.23 1.02 0.00
3 0.05 0.79 1.40 6.00* 1.44 0.28 0.05
4 1.07 0.14 0.60 3.91* 0.33 3.95 0.00
5 0.19 0.00 8.79* 0.28 0.19 0.56 0.00
6 0.28 8.05* 0.23 0.28 0.28 0.88 0.00
7 1.02 0.79* 0.42 1.16 0.37 6.23 0.00
8 6.19* 0.05 0.84 0.14 0.05 2.74 0.00
9 0.74 0.56 1.49 4.47* 0.51 2.23 0.00
10 0.98* 0.93 0.42 0.05 0.19 7.40 0.05
11 0.23 0.37 0.23 2.33 1.35* 5.49 0.00
12 0.70 1.07 0.19 0.09 0.14* 7.81 0.00
13 0.19 0.47 1.44* 1.40 0.37 6.14 0.00
14 0.19 0.28 1.07* 1.63 0.33 6.51 0.00
15 1.16 0.42 0.70 3.63* 0.47 3.63 0.00
16 0.33 0.60 0.74 0.28* 0.05 8.00 0.00
17 0.33 2.33* 0.88 0.19 0.14 6.14 0.00
18 0.37 4.60 1.40 1.49* 0.70 1.44 0.00
19 0.28 5.02* 0.47 0.37 0.60 3.26 0.00
20 0.42 0.33 0.42* 0.28 0.19 8.37 0.00
21 0.19* 0.09 0.28 0.19 0.05 9.21 0.00
22 0.42 1.02 0.09* 0.09 0.05 8.33 0.00
23 2.42 0.56 0.37* 0.23 0.23 6.19 0.00
24 0.23 0.23 0.14 0.28 0.98* 8.14 0.00
25 0.19 0.09 2.09* 0.09 0.19 7.35 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 Maine
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 1
149.0 124.0 99.0
148.5 123.5 98.5 4 1
148.0 123.0 98.0 2
147.5 122.5 97.5 1
147.0 122.0 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 7
145.5 120.5 95.5
145.0 120.0 95.0 7
144.5 119.5 94.5 4
144.0 119.0 94.0 1 1
143.5 118.5 1 93.5 5 5
143.0 118.0 93.0
142.5 117.5 92.5 5 2
142.0 117.0 1 92.0 1 1
141.5 116.5 91.5 9 2
141.0 116.0 91.0 2
140.5 115.5 90.5 2 2
140.0 115.0 1 90.0 10 8
139.5 114.5 89.5 1
139.0 114.0 89.0 9 9
138.5 113.5 88.5 3
138.0 113.0 88.0 4 2
137.5 112.5 2 87.5 1 1
137.0 112.0 87.0 2 1
136.5 111.5 1 86.5 4 5
136.0 111.0 1 86.0 1
135.5 110.5 85.5 10 1
135.0 110.0 1 85.0 2 1
134.5 109.5 84.5 3 3
134.0 109.0 2 84.0 4 1
133.5 108.5 83.5 1
133.0 108.0 4 83.0 6 6
132.5 107.5 82.5
132.0 107.0 1 82.0 2 7
131.5 106.5 3 81.5 6 2
131.0 106.0 81.0 3
130.5 105.5 2 1 80.5 4
130.0 105.0 80.0 4 4
129.5 104.5 1 79.5 2 3
129.0 1 104.0 79.0 1 1
128.5 103.5 78.5 4 10
128.0 103.0 78.0 4 3
127.5 102.5 77.5
127.0 102.0 3 77.0 10 8
126.5 1 101.5 76.5 1
126.0 101.0 3 1 76.0 2 3
125.5 100.5 75.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Maine
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 3 50.0 1 25.0
74.5 5 1 49.5 24.5
74.0 1 2 49.0 24.0
73.5 2 48.5 23.5
73.0 48.0 1 23.0
72.5 1 47.5 22.5
72.0 47.0 1 22.0
71.5 3 46.5 21.5
71.0 2 1 46.0 21.0
70.5 3 2 45.5 20.5
70.0 3 3 45.0 1 20.0
69.5 1 44.5 19.5
69.0 1 44.0 1 19.0
68.5 1 43.5 18.5
68.0 43.0 18.0
67.5 1 42.5 17.5
67.0 2 42.0 1 17.0
66.5 2 41.5 16.5
66.0 1 1 41.0 16.0
65.5 1 40.5 15.5
65.0 2 1 40.0 15.0
64.5 1 1 39.5 14.5 1
64.0 39.0 14.0
63.5 38.5 13.5
63.0 1 1 38.0 13.0
62.5 1 37.5 12.5
62.0 1 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 1 2 35.0 10.0
59.5 1 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 1 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 1 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 2 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Maine
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
129.0 1
126.5 1
118.5 1
117.0 1
115.0 1
112.5 1 2
111.5 1
111.0 1
110.0 1
109.0 2
108.0 2 2
107.0 1
106.5 1 2
105.5 1 1 1
104.5 1
102.0 1 2
101.0 3 1
99.5 1 2
98.5 1 1 3
98.0 2
97.5 1
97.0 1 1
96.0 1 4 2
95.0 2 2 3
94.5 1 2 1
94.0 2
93.5 1 1 1 7
92.5 1 5 1
92.0 1 1
91.5 4 3 4
91.0 2
90.5 1 3
90.0 4 6 8
89.5 1
89.0 1 10 7
88.5 1 2
88.0 3 3
87.5 2
87.0 1 2
86.5 1 4 4
86.0 1
85.5 2 3 6
85.0 3
84.5 1 2 3
84.0 2 2 1
83.5 1
83.0 1 9 2
82.0 1 5 3
81.5 4 4
81.0 3 1
80.5 4
80.0 4 4
79.5 4 1
79.0 1 1
78.5 2 8 4
78.0 2 5
77.5 1
77.0 2 2 6 8
76.5 2
76.0 1 1 3
75.5 1
75.0 2 2
74.5 2 2 2
74.0 1 2
73.5 1 1
72.5 1
71.5 2 1
71.0 1 2
70.5 1 1 3
70.0 4 2
69.5 1
69.0 1
68.5 1
67.5 1
67.0 1 1
66.5 2
66.0 2
65.5 1
65.0 1 2
64.5 1 1
63.0 2
62.5 1
62.0 1 1
61.5 1
60.0 1 1 1
59.5 1
56.5 1
52.5 1
51.0 2 1
50.5 1
50.0 1
48.0 1
47.0 1
45.0 1
44.0 1
42.0 1
14.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Maine
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 9.19* 0.19 0.39 0.06 0.17 0.00 0.00
2 0.08 0.22 0.06 9.31* 0.00 0.33 0.00
3 0.03 0.06 9.42* 0.03 0.22 0.25 0.00
4 0.03 8.97* 0.00 0.17 0.42 0.42 0.00
5 7.61* 0.14 0.61 0.00 0.06 1.56 0.03
6 3.11* 0.86 0.44 0.19 0.28 5.11 0.00
7 0.92 1.00 0.22 2.17* 0.44 5.25 0.00
8 0.78 1.42 3.89* 0.06 1.25 2.58 0.03
9 0.47 8.08* 0.25 0.28 0.14 0.78 0.00
10 0.14 0.56 0.11 2.25 3.44* 3.47 0.03
11 0.81 1.00 0.92 4.44* 0.33 2.47 0.03
12 0.22 0.39 0.72 0.72* 0.03 7.89 0.03
13 0.25 0.19 0.11 1.11* 0.14 8.19 0.00
14 0.67 0.89 0.64 0.39 0.97* 6.44 0.00
15 0.56 0.28 0.19 5.36* 0.39 3.22 0.00
16 0.22 0.17 0.72 0.44* 0.11 8.33 0.00
17 0.22 0.47* 0.06 0.08 0.47 8.69 0.00
18 1.14 0.31 0.33* 0.36 0.47 7.39 0.00
19 0.08 0.14 0.19 0.17 2.11* 7.31 0.00
20 0.08 0.19 3.94* 0.47 1.53 3.78 0.00
21 0.25 0.22 0.25* 0.03 0.17 9.08 0.00
22 0.33 0.39 0.08 0.03 0.06* 9.11 0.00
23 0.11 0.06* 0.08 0.03 0.06 9.67 0.00
24 0.14* 0.11 0.25 0.11 0.19 9.19 0.00
25 0.11* 0.08 0.08 0.06 0.31 9.36 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column