American Mathematics Competitions
2005 AMC 10 A Results for Alaska
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 229
Number of unofficial participants: 0
Average score of participants: 67.6
Average score for female students is: 66.3 ( 112 Students)
Average score for male students is: 70.3 ( 98 Students)
Average score for unspecified gender is 61.3 ( 19 Students)
Average score for grade 10 is: 70.4 ( 115 Students)
Average score for grade 9 is: 65.8 ( 80 Students)
Average score for grade 8 and below is: 66.8 ( 18 Students)
Average score with unknown grade: 57.5 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 10
Average school winning score 93.00
American Mathematics Competitions
2005 AMC 12 A Results for Alaska
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 392
Number of unofficial participants: 0
Average score of participants: 72.0
Average score for female students is: 70.6 ( 166 Students)
Average score for male students is: 73.4 ( 211 Students)
Average score for unspecified gender is 66.8 ( 15 Students)
Average score for grade 12 is: 74.2 ( 149 Students)
Average score for grade 11 is: 70.1 ( 211 Students)
Average score for grade 10 is: 74.5 ( 25 Students)
Average score for grade 9 is: 99.5 ( 1 Student)
Average score with unknown grade: 69.2 ( 6 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 14
Number of schools returning results 11
Average school winning score 100.41
Average school team score 262.77
American Mathematics Competitions
2005 AMC 10 B Results for Alaska
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 148
Number of unofficial participants: 0
Average score of participants: 77.9
Average score for female students is: 76.3 ( 74 Students)
Average score for male students is: 79.9 ( 67 Students)
Average score for unspecified gender is 75.9 ( 7 Students)
Average score for grade 10 is: 80.2 ( 60 Students)
Average score for grade 9 is: 76.7 ( 83 Students)
Average score with unknown grade: 71.5 ( 5 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 5
Average school winning score 110.40
American Mathematics Competitions
2005 AMC 12 B Results for Alaska
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 109
Number of unofficial participants: 0
Average score of participants: 82.4
Average score for female students is: 80.5 ( 43 Students)
Average score for male students is: 83.5 ( 64 Students)
Average score for unspecified gender is 85.5 ( 2 Students)
Average score for grade 12 is: 85.5 ( 37 Students)
Average score for grade 11 is: 78.5 ( 53 Students)
Average score for grade 10 is: 88.0 ( 16 Students)
Average score for grade 9 is: 81.3 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 5
Number of schools returning results 6
Average school winning score 97.42
Average school team score 256.08
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
334.5 1 1
314.5 1 2
304.0 1 3
300.0 1 4
296.5 1 5
294.5 1 6
288.5 1 7
279.0 1 8
278.0 1 9
277.5 1 10
275.0 1 11
273.5 1 12
265.0 1 13
229.5 1 14
227.0 1 15
106.5 1 16
83.5 1 17
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
136.0 1
120.0 1
116.0 2
114.5 1
111.5 1
111.0 1
108.0 1
107.5 2
106.5 1 1
105.5 1 1 2
104.5 1 1
104.0 1
103.0 1 1
102.0 2 2
101.5 1 3
101.0 1 2 1 1
100.5 1
99.5 2 1 3 2
98.5 4 3 1 1
98.0 1
97.5 2 5
97.0 1 1 1
96.0 3 3 1 1
95.5 1
95.0 1 4 1 2
94.5 3 1 2
94.0 2
93.5 2 1 1
92.5 3 6 3 3
91.5 3 2 1
91.0 1
90.5 3 2
90.0 2 1 3 1
89.5 1
89.0 3 2 1 2
88.0 3 2 2
87.5 1 1 1 1
87.0 3 1
86.5 3 1 3
86.0 2 2
85.5 7 1 5 2
85.0 2 2 2
84.5 1 2 1 2
84.0 4 4 3 1
83.5 3 1 3
83.0 8 8 2 2
82.5 1
82.0 6 1 1 3
81.5 2 2 2
81.0 12 1 2
80.5 2 2 2 2
80.0 4 2 2
79.5 6 1 1 1
79.0 1 1 2
78.5 7 6 4
78.0 2 5 5
77.5 11 1 1
77.0 11 6 6 4
76.5 6 2 3
76.0 5 2 4 3
75.5 1 1
75.0 11 1 2
74.5 2 2 1 3
74.0 12 1 3 2
73.5 6 3 4
73.0 4 1
72.5 12 1 5 3
72.0 5 2 2
71.5 10 1 4 4
71.0 6 2 1
70.5 6 1 4
70.0 7 3 9 4
69.5 4 2 1 2
69.0 12 1 1
68.5 2 2
68.0 9 1 4 2
67.5 6 1
67.0 5 2
66.5 10 4 2
66.0 1 3 5 1
65.5 7 5 3
65.0 6 5 3
64.5 4 2
64.0 7 7 1
63.5 1 2 1
63.0 5 3 3
62.5 4 1 1
62.0 9 2 1
61.5 4 1
61.0 3 1 1 1
60.5 3 1 5
60.0 2 4 2
59.5 2 4 1
59.0 1 1 1
58.5 1 3
58.0 2
57.5 1 1 2 1
57.0 1 2
56.5 2 1 4
56.0 1 2
55.5 1 1
55.0 4 1 1 1
54.5 5 4 2
54.0 3 4 1
53.5 2 3
53.0 3 1 1
52.5 1 1
52.0 3 1
51.5 1 2
51.0 1 2
50.5 3 1
50.0 2 1
49.5 1 2
49.0 1 2
48.5 1
48.0 3 3
47.0 1 1
46.5 1
46.0 1 1
45.5 3
45.0 1
44.5 1
44.0 1 2 1
43.5 1
43.0 1
42.5 1
42.0 1 2 2
41.5 1
40.5 2
39.5 1
38.5 1
38.0 1
37.5 1
37.0 1
36.0 1
35.5 1 1
34.5 1
32.0 1
31.5 1
30.0 2 1
29.0 1
28.5 1
24.5 1
24.0 2
18.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Alaska
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 1
148.0 123.0 98.0 1
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 1
144.5 119.5 94.5 1
144.0 119.0 94.0 2
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 1 1
142.0 117.0 92.0
141.5 116.5 91.5
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
139.0 114.0 89.0 1
138.5 113.5 88.5
138.0 113.0 88.0 2
137.5 112.5 87.5 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1
136.0 111.0 86.0
135.5 110.5 85.5 2 3
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0 1 2
133.5 108.5 83.5
133.0 108.0 83.0 2
132.5 107.5 82.5
132.0 107.0 82.0 1
131.5 106.5 81.5 2
131.0 106.0 81.0 2
130.5 105.5 80.5 1 1
130.0 105.0 80.0 1 1
129.5 104.5 79.5 1
129.0 104.0 79.0
128.5 103.5 78.5 1 4
128.0 103.0 78.0 4 1
127.5 102.5 77.5
127.0 102.0 77.0 3 1
126.5 101.5 76.5 1 1
126.0 101.0 1 76.0 4
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Alaska
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 1 25.0
74.5 1 49.5 2 24.5
74.0 2 1 49.0 2 24.0
73.5 1 3 48.5 1 23.5
73.0 1 48.0 1 2 23.0
72.5 2 3 47.5 22.5
72.0 2 47.0 1 22.0
71.5 1 3 46.5 21.5
71.0 46.0 21.0
70.5 3 1 45.5 1 20.5
70.0 3 4 45.0 20.0
69.5 1 44.5 19.5
69.0 44.0 1 1 19.0
68.5 2 43.5 18.5
68.0 1 3 43.0 1 18.0 1
67.5 42.5 1 17.5
67.0 1 1 42.0 2 17.0
66.5 1 2 41.5 16.5
66.0 4 1 41.0 16.0
65.5 3 2 40.5 1 15.5
65.0 1 4 40.0 15.0
64.5 2 39.5 14.5
64.0 4 3 39.0 14.0
63.5 2 38.5 1 13.5
63.0 2 1 38.0 1 13.0
62.5 1 37.5 12.5
62.0 1 1 37.0 12.0
61.5 36.5 11.5
61.0 1 36.0 11.0
60.5 1 4 35.5 1 10.5
60.0 3 35.0 10.0
59.5 1 2 34.5 1 9.5
59.0 1 34.0 9.0
58.5 2 1 33.5 8.5
58.0 33.0 8.0
57.5 2 32.5 7.5
57.0 2 32.0 7.0
56.5 4 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 2 2 29.5 4.5
54.0 1 3 29.0 4.0
53.5 2 28.5 1 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 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 A Results for Alaska
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
101.0 1
100.5 1
99.5 3
98.5 1
98.0 1
96.0 1
95.0 1
94.5 1
94.0 1 1
93.5 1
92.5 3
90.5 1 1
90.0 2 1
89.0 1
88.0 1 1
87.5 1
87.0 1
86.5 1
85.5 3 2
84.5 1
84.0 1 2
83.0 1 1
82.0 1
81.5 2
81.0 1 1
80.5 1 1
80.0 2
79.5 1
78.5 3 3
78.0 1 4
77.0 2 2 2
76.5 1 1
76.0 2 2
75.5 1
75.0 1
74.5 1
74.0 2 1
73.5 1 3
73.0 1
72.5 1 1 3
72.0 1 1
71.5 1 3
70.5 2 2
70.0 1 2 5 1
69.5 1
69.0 1
68.5 2
68.0 2 2
67.0 2
66.5 1 2 1
66.0 1 2 2
65.5 1 4
65.0 1 1 3
64.5 2
64.0 3 4
63.5 1 1
63.0 2 1
62.5 1
62.0 1 1
61.0 1
60.5 4 1
60.0 3 1
59.5 2 1 1
59.0 1
58.5 1 2
57.5 2
57.0 1 1
56.5 2 2
56.0 2
55.0 1
54.5 1 3
54.0 2 2
53.5 1 1 1
53.0 1
52.5 1
52.0 1
51.0 2
50.5 1
50.0 1 1
49.5 2
49.0 2
48.5 1
48.0 1 2
47.0 1
46.0 1
45.5 1 1 1
44.0 2
43.0 1
42.5 1
42.0 1 1
40.5 1 1
38.5 1
38.0 1
37.5 1
35.5 1
34.5 1
30.0 1
28.5 1
18.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Alaska
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 0.52 0.13 0.17 8.38* 0.66 0.13 0.00
2 0.13 0.22 4.28* 0.09 2.05 3.23 0.00
3 0.09 8.60* 0.17 0.52 0.09 0.52 0.00
4 0.52 0.52* 2.79 0.61 0.44 5.11 0.00
5 4.32* 0.39 4.89 0.17 0.04 0.17 0.00
6 0.22 3.41* 3.93 0.26 0.13 2.05 0.00
7 0.92 2.97* 0.09 0.31 0.61 5.11 0.00
8 0.79 0.13 3.23* 0.09 0.31 5.46 0.00
9 1.09 5.50* 0.96 0.35 0.13 1.97 0.00
10 0.87* 0.39 0.83 0.35 0.13 7.42 0.00
11 0.44 1.79* 0.26 0.87 0.13 6.51 0.00
12 0.31 0.57* 0.39 0.22 0.44 8.08 0.00
13 1.40 0.61 0.44 0.35 0.48* 6.72 0.00
14 0.87 0.57 0.48 0.44 1.40* 6.24 0.00
15 0.57 0.79 0.35 1.05 0.74* 6.51 0.00
16 0.83 0.52 0.70 0.74* 0.13 7.07 0.00
17 0.22 0.61 0.31 1.66* 0.31 6.90 0.00
18 1.66* 1.53 1.27 2.75 0.44 2.31 0.04
19 0.48 0.79 0.52 2.31* 0.96 4.93 0.00
20 0.13* 0.52 0.61 0.39 0.17 8.17 0.00
21 1.62 0.35* 0.17 0.66 0.52 6.68 0.00
22 0.57 0.39 0.13 1.48* 0.35 7.07 0.00
23 0.13 0.48 1.53* 0.87 0.79 6.20 0.00
24 0.87 0.79* 0.09 0.22 0.09 7.95 0.00
25 0.26 0.26 1.00 0.74* 0.13 7.60 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 Alaska
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 2 2
148.0 123.0 98.0
147.5 122.5 97.5 1 1
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 2 1
145.5 120.5 95.5
145.0 120.0 95.0 1
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5 2 1
141.0 116.0 1 1 91.0
140.5 115.5 90.5 3
140.0 115.0 90.0 2
139.5 114.5 89.5
139.0 114.0 89.0 2 1
138.5 113.5 88.5
138.0 113.0 88.0 3
137.5 112.5 87.5 1
137.0 112.0 87.0 2 1
136.5 111.5 1 86.5 3
136.0 111.0 1 86.0
135.5 110.5 85.5 2 5
135.0 110.0 85.0 2
134.5 109.5 84.5 1
134.0 109.0 84.0 2 2
133.5 108.5 83.5 2 1
133.0 108.0 83.0 3 5
132.5 107.5 2 82.5
132.0 107.0 82.0 3 2
131.5 106.5 1 81.5
131.0 106.0 81.0 6 6
130.5 105.5 1 80.5 2
130.0 105.0 80.0 1 3
129.5 104.5 1 79.5 4 2
129.0 104.0 79.0 1
128.5 103.5 78.5 3 3
128.0 103.0 1 78.0 1 1
127.5 102.5 77.5 4 7
127.0 102.0 2 77.0 7 4
126.5 101.5 1 76.5 3 3
126.0 101.0 1 76.0 2 3
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 12 A Results for Alaska
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 6 50.0 25.0
74.5 2 49.5 1 24.5 1
74.0 5 7 49.0 1 24.0 2
73.5 5 1 48.5 23.5
73.0 3 1 48.0 3 23.0
72.5 5 6 47.5 22.5
72.0 3 2 47.0 1 22.0
71.5 5 5 46.5 1 21.5
71.0 4 2 46.0 1 21.0
70.5 5 1 45.5 20.5
70.0 4 3 45.0 1 20.0
69.5 2 2 44.5 1 19.5
69.0 7 5 44.0 1 19.0
68.5 43.5 18.5
68.0 8 1 43.0 18.0
67.5 4 2 42.5 17.5
67.0 1 3 42.0 1 17.0
66.5 3 7 41.5 1 16.5
66.0 1 41.0 16.0
65.5 2 5 40.5 15.5
65.0 4 2 40.0 15.0
64.5 1 2 39.5 14.5
64.0 6 1 39.0 14.0
63.5 1 38.5 13.5
63.0 3 2 38.0 13.0
62.5 2 2 37.5 12.5
62.0 3 6 37.0 1 12.0
61.5 1 1 36.5 11.5
61.0 1 2 36.0 1 11.0
60.5 1 2 35.5 1 10.5
60.0 1 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 1 33.0 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 2 31.5 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 3 30.0 1 1 5.0
54.5 3 1 29.5 4.5
54.0 1 1 29.0 1 4.0
53.5 1 1 28.5 3.5
53.0 3 28.0 3.0
52.5 1 27.5 2.5
52.0 3 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Alaska
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
116.0 1 1
111.5 1
111.0 1
107.5 2
106.5 1
105.5 1
104.5 1
103.0 1
102.0 2
101.5 1
101.0 1
99.5 1 1
98.5 2 2
97.5 2
97.0 1
96.0 3
95.0 1
92.5 1 1 1
91.5 1 2
90.5 1 2
90.0 1 1
89.0 3
88.0 1 1 1
87.5 1
87.0 2 1
86.5 2 1
85.5 5 2
85.0 1 1
84.5 1
84.0 2 2
83.5 3
83.0 3 5
82.0 1 1 4
81.0 2 7 3
80.5 1 1
80.0 2 2
79.5 1 2 3
79.0 1
78.5 1 4 2
78.0 1 1
77.5 6 5
77.0 1 7 3
76.5 1 4 1
76.0 2 3
75.0 1 4 5 1
74.5 1 1
74.0 6 6
73.5 1 2 3
73.0 1 3
72.5 1 6 5
72.0 3 2
71.5 1 4 5
71.0 2 4
70.5 1 3 2
70.0 4 3
69.5 2 2
69.0 7 5
68.0 1 5 3
67.5 4 2
67.0 2 2 1
66.5 10
66.0 1
65.5 2 2 3
65.0 5 1
64.5 3 1
64.0 1 4 2
63.5 1
63.0 1 4
62.5 3 1
62.0 1 7 1
61.5 1 2 1
61.0 3
60.5 2 1
60.0 2
59.5 1 1
59.0 1
58.5 1
58.0 2
57.5 1
56.5 2
56.0 1
55.5 1
55.0 4
54.5 4 1
54.0 3
53.5 1 1
53.0 1 2
52.5 1
52.0 2 1
51.5 1
51.0 1
50.5 3
49.5 1
49.0 1
48.0 1 1 1
47.0 1
46.5 1
46.0 1
45.0 1
44.5 1
44.0 1
42.0 1
41.5 1
37.0 1
36.0 1
35.5 1
31.5 1
30.0 2
29.0 1
24.5 1
24.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Alaska
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.00 0.15 0.18 9.21* 0.18 0.26 0.03
2 0.05 9.26* 0.23 0.33 0.05 0.08 0.00
3 0.43 2.02* 1.28 0.41 0.48 5.38 0.00
4 5.66* 0.41 3.49 0.13 0.10 0.20 0.00
5 0.38 4.97* 2.37 0.15 0.10 2.02 0.00
6 0.61 3.72* 0.38 0.18 0.69 4.41 0.00
7 0.71 0.10 5.87* 0.18 0.10 3.04 0.00
8 0.23 0.51 0.51 0.79* 0.20 7.76 0.00
9 2.04* 0.20 0.87 0.33 0.08 6.48 0.00
10 0.33 1.84* 0.15 0.46 0.13 7.09 0.00
11 0.59 0.43 0.43 0.18 2.14* 6.22 0.00
12 0.92 0.43 0.23 1.81* 1.15 5.46 0.00
13 0.23 0.26 0.41 1.48* 0.33 7.30 0.00
14 0.28 0.51 3.49 0.74* 0.33 4.64 0.00
15 0.10 0.36 0.89* 0.66 0.59 7.40 0.00
16 0.20 0.23 0.64 0.36* 0.20 8.37 0.00
17 1.53* 0.82 1.28 0.48 0.20 5.69 0.00
18 0.10* 0.26 0.38 0.18 0.20 8.88 0.00
19 0.59 1.35* 0.97 0.46 0.79 5.84 0.00
20 0.31 0.08 0.28 0.08 0.10* 9.16 0.00
21 0.31 0.18 0.20* 0.20 0.00 9.11 0.00
22 0.33 0.26* 0.26 0.18 0.23 8.75 0.00
23 0.43 0.28* 0.20 0.26 0.18 8.65 0.00
24 0.08 0.20* 0.20 0.10 0.08 9.34 0.00
25 0.13 0.23 0.36* 0.18 0.00 9.11 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 Alaska
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 1
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 1
145.5 120.5 95.5 1
145.0 120.0 1 95.0 2
144.5 119.5 94.5 2
144.0 119.0 94.0
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 1 2
142.0 117.0 92.0
141.5 116.5 91.5 1
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 114.5 1 89.5 1
139.0 114.0 89.0 1 1
138.5 113.5 88.5
138.0 113.0 88.0 1 1
137.5 112.5 87.5 1
137.0 112.0 87.0
136.5 111.5 86.5 2 1
136.0 1 111.0 86.0 1 1
135.5 110.5 85.5 1
135.0 110.0 85.0 1 1
134.5 109.5 84.5 2
134.0 109.0 84.0 1
133.5 108.5 83.5 2 1
133.0 108.0 83.0 1
132.5 107.5 82.5 1
132.0 107.0 82.0 3
131.5 106.5 1 81.5 1
131.0 106.0 81.0
130.5 105.5 1 1 80.5 1 1
130.0 105.0 80.0 1 1
129.5 104.5 79.5 1
129.0 104.0 1 79.0 1 1
128.5 103.5 78.5 3
128.0 103.0 1 78.0 2 3
127.5 102.5 77.5 1
127.0 102.0 2 77.0 3 1
126.5 101.5 2 1 76.5 2 1
126.0 101.0 1 76.0 3
125.5 100.5 75.5
American Mathematics Competitions
2005 AMC 10 B Results for Alaska
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 3 49.5 24.5
74.0 2 49.0 24.0
73.5 48.5 23.5
73.0 48.0 23.0
72.5 1 2 47.5 22.5
72.0 47.0 22.0
71.5 1 2 46.5 21.5
71.0 1 46.0 21.0
70.5 45.5 20.5
70.0 2 1 45.0 20.0
69.5 1 1 44.5 19.5
69.0 1 44.0 1 19.0
68.5 2 43.5 1 18.5
68.0 1 1 43.0 18.0
67.5 42.5 17.5
67.0 42.0 2 17.0
66.5 2 41.5 16.5
66.0 1 41.0 16.0
65.5 1 2 40.5 15.5
65.0 1 2 40.0 15.0
64.5 39.5 1 14.5
64.0 1 39.0 14.0
63.5 1 38.5 13.5
63.0 2 1 38.0 13.0
62.5 1 37.5 12.5
62.0 1 37.0 12.0
61.5 36.5 11.5
61.0 1 36.0 11.0
60.5 35.5 10.5
60.0 1 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 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 32.0 7.0
56.5 31.5 6.5
56.0 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 1 1 29.5 4.5
54.0 1 29.0 4.0
53.5 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 1 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 Alaska
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
136.0 1
120.0 1
114.5 1
106.5 1
105.5 1 1
104.0 1
103.0 1
102.0 2
101.5 1 2
101.0 1
99.5 2
98.5 1
97.0 1
96.0 1
95.5 1
95.0 1 1
94.5 1 1
93.5 1
92.5 1 2
91.5 1
90.0 1
89.5 1
89.0 2
88.0 2
87.5 1
86.5 2 1
86.0 2
85.5 1 1
85.0 2
84.5 1 1
84.0 1
83.5 3
83.0 1 1
82.5 1
82.0 1 2
81.5 2
80.5 1 1
80.0 2
79.5 1
79.0 1 1
78.5 4
78.0 4 1
77.5 1
77.0 1 3
76.5 2 1
76.0 3
75.0 2
74.5 1 2
74.0 1 1
72.5 2 1
71.5 2 2
71.0 1
70.0 1 2 1
69.5 1 1
69.0 1
68.5 2
68.0 2
66.5 1 1
66.0 1
65.5 3
65.0 3
64.0 1
63.5 1
63.0 2 1
62.5 1
62.0 1
61.5 1
61.0 1
60.0 2
59.5 1
59.0 1
57.5 1
55.0 1
54.5 2
54.0 1
53.0 1
51.5 1 1
50.0 1
44.0 1
43.5 1
42.0 2
39.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Alaska
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 8.31* 0.27 0.34 0.07 0.95 0.07 0.00
2 0.14 0.27 0.07 8.24* 0.14 1.15 0.00
3 0.00 0.95 1.42 6.08* 1.15 0.41 0.00
4 0.81 0.14 0.47 3.31* 0.14 5.14 0.00
5 0.07 0.14 8.85* 0.14 0.27 0.54 0.00
6 0.14 8.04* 0.00 0.14 0.41 1.28 0.00
7 0.47 1.01* 0.27 1.22 0.41 6.62 0.00
8 5.54* 0.07 0.88 0.00 0.00 3.51 0.00
9 0.41 0.41 1.96 4.80* 0.54 1.89 0.00
10 1.49* 0.41 0.20 0.47 0.27 7.16 0.00
11 0.34 0.47 0.14 0.95 1.76* 6.35 0.00
12 0.61 1.15 0.20 0.27 0.54* 7.23 0.00
13 0.34 0.74 1.08* 1.49 0.14 6.22 0.00
14 0.34 0.07 2.03* 2.50 0.34 4.73 0.00
15 1.35 0.27 0.61 4.53* 0.54 2.70 0.00
16 0.47 0.47 0.20 0.20* 0.07 8.58 0.00
17 0.14 2.09* 0.68 0.20 0.00 6.89 0.00
18 0.41 4.93 1.42 1.28* 0.34 1.62 0.00
19 0.68 4.46* 0.20 0.34 0.41 3.92 0.00
20 0.68 0.20 0.74* 0.41 0.27 7.70 0.00
21 0.20* 0.14 0.27 0.00 0.14 9.26 0.00
22 0.41 0.61 0.20* 0.27 0.34 8.18 0.00
23 2.84 0.14 0.47* 0.00 0.20 6.35 0.00
24 0.20 0.07 0.14 0.34 0.81* 8.45 0.00
25 0.34 0.07 2.57* 0.00 0.00 7.03 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 Alaska
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 2 1
148.0 123.0 98.0
147.5 122.5 97.5 3 1
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 3
145.5 120.5 95.5
145.0 120.0 95.0 2 2
144.5 119.5 94.5 1 2
144.0 119.0 94.0
143.5 118.5 93.5 1 1
143.0 118.0 93.0
142.5 117.5 92.5 2 4
142.0 117.0 92.0
141.5 116.5 91.5 1 1
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 1 1
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0 1 1
135.5 110.5 85.5 1
135.0 110.0 85.0 1 1
134.5 109.5 84.5 2
134.0 109.0 84.0 4
133.5 108.5 83.5 1
133.0 108.0 1 83.0 3 5
132.5 107.5 82.5
132.0 107.0 82.0 1
131.5 106.5 81.5 1 1
131.0 106.0 81.0 1
130.5 105.5 1 80.5 1 1
130.0 105.0 80.0
129.5 104.5 1 79.5 1
129.0 104.0 79.0 1
128.5 103.5 78.5
128.0 103.0 78.0
127.5 102.5 77.5 1
127.0 102.0 77.0 4 2
126.5 101.5 76.5
126.0 101.0 2 76.0 2
125.5 100.5 75.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Alaska
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 25.0
74.5 2 49.5 24.5
74.0 1 49.0 24.0
73.5 2 48.5 23.5
73.0 48.0 23.0
72.5 1 47.5 22.5
72.0 1 1 47.0 22.0
71.5 1 46.5 21.5
71.0 2 46.0 21.0
70.5 1 45.5 20.5
70.0 1 2 45.0 20.0
69.5 1 1 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 1 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 2 1 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 1 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 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 1 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 1 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 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Alaska
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
108.0 1
105.5 1
104.5 1
101.0 1 1
99.5 1
98.5 2 1
97.5 1 3 1
97.0 1
96.0 1 2
95.0 1 3
94.5 1 1 1
93.5 1 1
92.5 3 2 1
91.5 1 1
91.0 1
90.0 1
89.0 2
87.5 1
86.0 2
85.5 1
85.0 1 1
84.5 1 1
84.0 1 3
83.5 1
83.0 1 2 2 3
82.0 1
81.5 2
81.0 1
80.5 1 1
79.5 1
79.0 1
77.5 1
77.0 1 1 2 2
76.0 2
75.5 1
74.5 1 1
74.0 1
73.5 2 1
72.5 1
72.0 2
71.5 1
71.0 1 1
70.5 1
70.0 3
69.5 1 1
68.0 1
67.5 1
66.0 3
61.0 1
60.5 1
57.5 1
57.0 1
56.5 1
55.5 1
55.0 1
32.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Alaska
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 8.99* 0.18 0.46 0.09 0.28 0.00 0.00
2 0.00 0.18 0.00 9.36* 0.18 0.28 0.00
3 0.00 0.09 9.17* 0.18 0.18 0.37 0.00
4 0.00 9.27* 0.28 0.18 0.00 0.28 0.00
5 8.17* 0.00 0.83 0.00 0.00 1.01 0.00
6 2.66* 1.01 0.46 0.18 0.46 5.23 0.00
7 1.19 1.28 0.09 2.39* 0.37 4.68 0.00
8 1.38 1.56 4.40* 0.00 1.10 1.56 0.00
9 0.46 7.52* 0.18 0.46 0.37 1.01 0.00
10 0.18 0.55 0.46 2.75 2.75* 3.30 0.00
11 0.64 0.37 0.92 5.23* 0.55 2.29 0.00
12 0.46 0.28 0.83 0.37* 0.18 7.89 0.00
13 0.28 0.18 0.09 1.19* 0.09 8.17 0.00
14 1.01 1.38 0.46 0.37 0.55* 6.24 0.00
15 0.55 0.46 0.46 4.22* 0.09 4.22 0.00
16 0.18 0.09 0.28 0.46* 0.18 8.81 0.00
17 0.18 0.28* 0.00 0.09 1.28 8.17 0.00
18 1.28 0.55 0.55* 0.28 0.55 6.79 0.00
19 0.18 0.00 0.09 0.00 1.93* 7.80 0.00
20 0.28 0.28 3.76* 0.46 1.93 3.30 0.00
21 0.18 0.18 0.28* 0.09 0.18 9.08 0.00
22 0.28 0.64 0.18 0.18 0.09* 8.62 0.00
23 0.09 0.18* 0.00 0.00 0.09 9.63 0.00
24 0.37* 0.18 0.09 0.00 0.18 9.17 0.00
25 0.18* 0.09 0.18 0.00 0.37 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