American Mathematics Competitions
2005 AMC 10 A Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 428
Number of unofficial participants: 1
Average score of participants: 75.1
Average score for female students is: 72.3 ( 208 Students)
Average score for male students is: 78.1 ( 202 Students)
Average score for unspecified gender is 73.4 ( 18 Students)
Average score for grade 10 is: 77.5 ( 232 Students)
Average score for grade 9 is: 71.4 ( 165 Students)
Average score for grade 8 and below is: 82.5 ( 18 Students)
Average score with unknown grade: 68.1 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 9
Average school winning score 110.72
American Mathematics Competitions
2005 AMC 12 A Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 731
Number of unofficial participants: 0
Average score of participants: 76.4
Average score for female students is: 73.5 ( 365 Students)
Average score for male students is: 79.5 ( 348 Students)
Average score for unspecified gender is 75.0 ( 18 Students)
Average score for grade 12 is: 77.4 ( 377 Students)
Average score for grade 11 is: 77.0 ( 309 Students)
Average score for grade 10 is: 62.5 ( 22 Students)
Average score for grade 9 is: 62.8 ( 20 Students)
Average score with unknown grade: 78.5 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 66
Number of schools returning results 12
Average school winning score 107.71
Average school team score 310.83
American Mathematics Competitions
2005 AMC 10 B Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 490
Number of unofficial participants: 0
Average score of participants: 79.7
Average score for female students is: 77.7 ( 242 Students)
Average score for male students is: 81.6 ( 210 Students)
Average score for unspecified gender is 81.2 ( 38 Students)
Average score for grade 10 is: 83.3 ( 244 Students)
Average score for grade 9 is: 75.4 ( 229 Students)
Average score for grade 8 and below is: 88.8 ( 8 Students)
Average score with unknown grade: 81.1 ( 9 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 11
Average school winning score 104.59
American Mathematics Competitions
2005 AMC 12 B Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 380
Number of unofficial participants: 0
Average score of participants: 86.3
Average score for female students is: 83.7 ( 174 Students)
Average score for male students is: 89.6 ( 190 Students)
Average score for unspecified gender is 75.6 ( 16 Students)
Average score for grade 12 is: 86.6 ( 159 Students)
Average score for grade 11 is: 86.1 ( 206 Students)
Average score for grade 10 is: 90.0 ( 8 Students)
Average score for grade 9 is: 80.7 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 61
Number of schools returning results 12
Average school winning score 106.75
Average school team score 301.92
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
405.5 1 1
401.0 1 2
352.5 1 3
330.5 1 4
323.5 1 5
317.5 1 6
317.0 1 7
316.5 1 8
310.0 1 9
309.5 1 10
304.5 1 11
302.5 1 12
299.0 1 13
295.5 1 14
293.5 1 15
293.0 1 16
292.0 1 17
284.5 1 18
284.0 1 19
273.5 1 20
273.0 1 21
269.5 1 22
264.5 1 23
240.5 1 24
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
139.5 1 1
136.0 1
132.5 1
132.0 1
130.0 1
129.0 3
126.5 1
126.0 1
125.5 1
125.0 1
124.0 2 1
123.0 1 1
122.0 2
120.5 1 1
120.0 1
119.5 1 4
118.5 1
118.0 2
117.0 2
116.0 1 1 3
115.0 3 1
114.5 1 1
113.5 1 2 1
112.5 1 1
111.5 2 1
111.0 1 2
110.5 1
110.0 3 1 6
109.0 5 2 2 1
108.5 1 1
108.0 1 4 3
107.5 1 1 6 2
107.0 1
106.5 3 1 1
105.5 4 2 1 4
105.0 1
104.5 9 2 1
104.0 1 4 1 3
103.0 7 5 2 3
102.5 1
102.0 9 8 2 4
101.5 1 3 4
101.0 9 10 1
100.5 1 5 4
99.5 5 9 4 4
98.5 15 15 1 3
98.0 1 1 13
97.5 3 2 2
97.0 4 1 3 5
96.5 1
96.0 7 7 6
95.5 2
95.0 11 15 3 6
94.5 1 2 8 7
94.0 6 4 2
93.5 8 8 4 7
93.0 2 5
92.5 13 15 8 3
92.0 2 2 2
91.5 8 6 7 3
91.0 1 5 4 10
90.5 3 4 2 1
90.0 10 8 2 6
89.5 2 1
89.0 25 15 7 1
88.5 3 3 2 6
88.0 9 6 2 8
87.5 7 2 7 16
87.0 4 2 3 4
86.5 17 10 14 1
86.0 1 1 1 5
85.5 12 5 2 8
85.0 4 6 7
84.5 6 5 6 4
84.0 9 8 8 9
83.5 4 2 1 3
83.0 10 15 2 7
82.5 1 1 4 3
82.0 9 9 4 5
81.5 3 2 5 6
81.0 9 2 1
80.5 8 6 7 10
80.0 4 2 1 2
79.5 17 11 4 5
79.0 4 6 4 6
78.5 9 5 5 3
78.0 6 5 6 6
77.5 6 3 4 3
77.0 5 6 5 8
76.5 9 3 3
76.0 11 2 8 7
75.5 1 1 7 7
75.0 13 5 8 2
74.5 7 2 3 8
74.0 11 1 4 6
73.5 14 5 6 4
73.0 4 1 5 6
72.5 8 2 4 3
72.0 4 3 5 9
71.5 12 1 7 3
71.0 11 2 6 6
70.5 9 2 4 2
70.0 7 1 3 8
69.5 3 1 2 5
69.0 5 3 4 5
68.5 8 3 4 3
68.0 9 1 8 3
67.5 4 4 6 3
67.0 12 4 3
66.5 12 2 5 3
66.0 3 5 12
65.5 6 2 4 3
65.0 6 4 6 7
64.5 10 2 5 1
64.0 5 1 3 2
63.5 6 1 1 2
63.0 10 1 4 4
62.5 2 6 3
62.0 8 3 5 3
61.5 7 4 2 4
61.0 4 3 8
60.5 5 2 4
60.0 8 2 5 8
59.5 7 1 5
59.0 3 2
58.5 5 1 3 1
58.0 4 1 5
57.5 1 3
57.0 2 1 1
56.5 3 1 2 2
56.0 10 2 2 2
55.5 6 5 1
55.0 3 2 1
54.5 3 1 1
54.0 1 1 2
53.5 4 1 2
53.0 8 2 1
52.5 2 1 2
52.0 2 2
51.5 1 3 2
51.0 1 4
50.5 1 1 2
50.0 1
49.5 3 2 2
49.0 2
48.5 2 2
48.0 4 1 4 1
47.5 1 1 2
47.0 5
46.5 1 2 1
46.0 1 1
45.5 2 1
45.0 3 1 2
44.5 1 5 1
44.0 1 2
43.5 2 1
43.0 2 1 1
42.5 2
42.0 8 2 2 2
41.5 1 1
41.0 1 1 1
40.5 1
40.0 1
39.5 1 1 1
38.5 1 1 1
38.0 1 1
37.5 3 1
37.0 1
36.5 2 1
36.0 1 2
35.5 1
35.0 3
34.0 1 1
32.5 3
31.5 1
30.5 1
30.0 2
29.5 2
25.5 1
24.0 1 1 1
18.0 1
12.0 2
American Mathematics Competitions
2005 AMC 10 A Results for Hawaii
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 1 3
149.0 124.0 1 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 2
146.5 121.5 96.5
146.0 121.0 96.0
145.5 120.5 95.5
145.0 120.0 95.0 3
144.5 119.5 94.5 3 5
144.0 119.0 94.0 2
143.5 118.5 93.5 1 3
143.0 118.0 2 93.0 1
142.5 117.5 92.5 5 3
142.0 117.0 92.0 2
141.5 116.5 91.5 6 1
141.0 116.0 1 91.0 1 3
140.5 115.5 90.5 2
140.0 115.0 90.0 2
139.5 1 114.5 1 89.5 2
139.0 114.0 89.0 3 3
138.5 113.5 88.5 2
138.0 113.0 88.0 2
137.5 112.5 87.5 3 4
137.0 112.0 87.0 3
136.5 111.5 86.5 7 6
136.0 111.0 1 86.0 1
135.5 110.5 1 85.5 1 1
135.0 110.0 1 85.0
134.5 109.5 84.5 5 1
134.0 109.0 1 1 84.0 5 3
133.5 108.5 83.5 1
133.0 108.0 83.0 1 1
132.5 107.5 4 2 82.5 2 2
132.0 1 107.0 1 82.0 1 3
131.5 106.5 81.5 3 2
131.0 106.0 81.0 2
130.5 105.5 1 80.5 4 3
130.0 105.0 80.0 1
129.5 104.5 79.5 4
129.0 104.0 1 79.0 1 2
128.5 103.5 78.5 1 4
128.0 103.0 2 78.0 2 3
127.5 102.5 1 77.5 4
127.0 102.0 2 77.0 5
126.5 101.5 3 76.5 2 1
126.0 101.0 1 76.0 2 6
125.5 100.5 2 2 75.5 3 2
American Mathematics Competitions
2005 AMC 10 A Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 5 50.0 25.0
74.5 3 49.5 1 24.5
74.0 1 3 49.0 24.0 1
73.5 4 2 48.5 23.5
73.0 4 48.0 3 1 23.0
72.5 1 3 47.5 2 22.5
72.0 3 2 47.0 22.0
71.5 5 2 46.5 2 21.5
71.0 2 4 46.0 1 21.0
70.5 1 2 45.5 1 20.5
70.0 3 45.0 1 20.0
69.5 1 1 44.5 2 3 19.5
69.0 2 2 44.0 19.0
68.5 2 2 43.5 1 18.5
68.0 4 4 43.0 1 18.0
67.5 1 5 42.5 1 1 17.5
67.0 2 42.0 1 17.0
66.5 2 3 41.5 1 16.5
66.0 1 4 41.0 16.0
65.5 2 2 40.5 1 15.5
65.0 3 3 40.0 15.0
64.5 1 3 39.5 1 14.5
64.0 1 2 39.0 14.0
63.5 1 38.5 1 13.5
63.0 1 2 38.0 1 13.0
62.5 1 4 37.5 1 12.5
62.0 1 4 37.0 12.0 1 1
61.5 1 1 36.5 11.5
61.0 3 36.0 1 1 11.0
60.5 1 1 35.5 10.5
60.0 2 3 35.0 3 10.0
59.5 34.5 9.5
59.0 34.0 1 9.0
58.5 2 1 33.5 8.5
58.0 2 3 33.0 8.0
57.5 1 2 32.5 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 2 31.0 6.0
55.5 2 2 30.5 1 5.5
55.0 1 1 30.0 5.0
54.5 1 29.5 1 1 4.5
54.0 1 29.0 4.0
53.5 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 27.5 2.5
52.0 2 27.0 2.0
51.5 1 2 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 A Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
139.5 1
132.0 1
130.0 1
125.0 1
124.0 1
118.0 2
116.0 1
114.5 1
111.0 1
110.5 1
110.0 1
109.0 2
107.5 1 5
107.0 1
105.5 1
104.0 1
103.0 2
102.5 1
102.0 1 1
101.5 3
101.0 1
100.5 1 3
99.5 4
98.5 1
97.0 1 2
95.0 1 2
94.5 4 4
94.0 2
93.5 1 1 2
93.0 2
92.5 1 1 6
92.0 1 1
91.5 1 3 3
91.0 1 3
90.5 2
90.0 2
89.5 1 1
89.0 2 5
88.5 2
88.0 2
87.5 5 2
87.0 3
86.5 1 5 7 1
86.0 1
85.5 1 1
84.5 1 1 4
84.0 1 4 3
83.5 1
83.0 2
82.5 2 2
82.0 2 2
81.5 2 3
81.0 2
80.5 1 2 4
80.0 1
79.5 1 3
79.0 1 2 1
78.5 2 3
78.0 2 4
77.5 1 1 2
77.0 1 4
76.5 1 2
76.0 1 4 3
75.5 3 4
75.0 1 2 5
74.5 1 1 1
74.0 1 3
73.5 1 3 2
73.0 3 2
72.5 2 2
72.0 1 4
71.5 3 4
71.0 3 3
70.5 1 3
70.0 3
69.5 1 1
69.0 1 3
68.5 1 2 1
68.0 1 4 3
67.5 3 3
67.0 3 1
66.5 4 1
66.0 2 2 1
65.5 2 2
65.0 2 4
64.5 3 2
64.0 3
63.5 1
63.0 3 1
62.5 1 2 3
62.0 4 1
61.5 1 1
61.0 1 2
60.5 1 1
60.0 1 4
58.5 3
58.0 2 3
57.5 1 2
57.0 1
56.5 2
56.0 1 1
55.5 4 1
55.0 1 1
54.5 1
54.0 1
53.5 1
53.0 1 1
52.0 2
51.5 3
49.5 2
48.0 2 2
47.5 1 1
46.5 1 1
46.0 1
45.5 1
45.0 1
44.5 3 1 1
43.5 1
43.0 1
42.5 1 1
42.0 2
41.5 1
40.5 1
39.5 1
38.5 1
38.0 1
37.5 1
36.0 2
35.0 2 1
34.0 1
30.5 1
29.5 2
24.0 1
12.0 1 1
American Mathematics Competitions
2005 AMC 10 A Results for Hawaii
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 0.19 0.09 0.44 8.60* 0.35 0.33 0.00
2 0.12 0.12 6.57* 0.07 1.54 1.59 0.00
3 0.02 8.81* 0.33 0.44 0.09 0.30 0.00
4 0.58 1.96* 1.45 0.75 0.40 4.86 0.00
5 6.57* 0.42 2.69 0.05 0.09 0.19 0.00
6 0.21 5.51* 2.71 0.12 0.09 1.36 0.00
7 0.72 4.32* 0.35 0.37 0.56 3.67 0.00
8 1.00 0.47 4.58* 0.07 0.09 3.79 0.00
9 1.43 5.77* 0.86 0.16 0.33 1.45 0.00
10 1.82* 0.30 1.17 0.40 0.16 6.14 0.00
11 0.47 2.29* 0.28 0.77 0.05 6.14 0.00
12 0.16 1.38* 0.58 0.21 0.56 7.10 0.00
13 1.99 0.47 0.28 0.28 1.00* 5.98 0.00
14 1.05 0.40 0.33 0.61 2.55* 5.07 0.00
15 0.33 1.03 0.86 0.56 0.68* 6.52 0.02
16 0.56 0.28 0.75 2.59* 0.12 5.70 0.00
17 0.19 0.21 0.51 2.29* 0.40 6.40 0.00
18 1.31* 1.75 0.86 4.09 0.44 1.54 0.00
19 0.42 0.86 0.98 3.50* 0.51 3.71 0.00
20 0.54* 0.44 0.51 0.40 0.28 7.83 0.00
21 1.78 0.72* 0.19 0.49 0.70 6.12 0.00
22 0.72 0.72 0.40 2.29* 0.42 5.44 0.00
23 0.30 0.40 0.91* 1.10 0.89 6.40 0.00
24 1.10 0.84* 0.30 0.09 0.14 7.52 0.00
25 0.28 0.51 0.77 0.77* 0.14 7.52 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 Hawaii
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 4 1
149.0 124.0 2 99.0
148.5 123.5 98.5 8 7
148.0 123.0 98.0 1
147.5 122.5 97.5 1 2
147.0 122.0 97.0 3 1
146.5 121.5 96.5 1
146.0 121.0 96.0 5 2
145.5 120.5 95.5
145.0 120.0 95.0 4 6
144.5 119.5 1 94.5 1
144.0 119.0 94.0 4 2
143.5 118.5 1 93.5 4 3
143.0 1 118.0 93.0
142.5 117.5 92.5 10 2
142.0 117.0 92.0
141.5 116.5 91.5 4 4
141.0 116.0 1 91.0 1
140.5 115.5 90.5 1 2
140.0 115.0 2 1 90.0 2 7
139.5 114.5 89.5
139.0 114.0 89.0 11 14
138.5 113.5 1 88.5 3
138.0 113.0 88.0 5 4
137.5 112.5 1 87.5 6 1
137.0 112.0 87.0 2 2
136.5 111.5 2 86.5 11 6
136.0 1 111.0 86.0 1
135.5 110.5 85.5 6 5
135.0 110.0 85.0 3 1
134.5 109.5 84.5 2 4
134.0 109.0 4 84.0 5 3
133.5 108.5 1 83.5 3 1
133.0 108.0 1 83.0 6 4
132.5 107.5 1 82.5 1
132.0 107.0 82.0 3 6
131.5 106.5 3 81.5 3
131.0 106.0 81.0 3 6
130.5 105.5 1 3 80.5 4 3
130.0 105.0 80.0 2 2
129.5 104.5 5 4 79.5 12 5
129.0 104.0 1 79.0 1 3
128.5 103.5 78.5 4 3
128.0 103.0 5 2 78.0 2 4
127.5 102.5 77.5 6
127.0 102.0 6 3 77.0 1 4
126.5 1 101.5 76.5 4 5
126.0 101.0 4 5 76.0 5 6
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 12 A Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 10 50.0 25.0
74.5 3 4 49.5 3 24.5
74.0 7 4 49.0 2 24.0 1
73.5 5 9 48.5 1 1 23.5
73.0 3 1 48.0 2 2 23.0
72.5 3 4 47.5 1 22.5
72.0 4 47.0 1 4 22.0
71.5 3 9 46.5 1 21.5
71.0 5 6 46.0 21.0
70.5 7 2 45.5 1 1 20.5
70.0 3 4 45.0 2 1 20.0
69.5 1 1 44.5 1 19.5
69.0 2 3 44.0 1 19.0
68.5 3 5 43.5 2 18.5
68.0 3 6 43.0 2 18.0
67.5 1 3 42.5 17.5
67.0 4 8 42.0 5 3 17.0
66.5 6 6 41.5 16.5
66.0 2 1 41.0 1 16.0
65.5 2 4 40.5 15.5
65.0 3 3 40.0 15.0
64.5 4 5 39.5 1 14.5
64.0 1 4 39.0 14.0
63.5 6 38.5 1 13.5
63.0 2 8 38.0 1 13.0
62.5 2 37.5 1 2 12.5
62.0 4 3 37.0 12.0
61.5 2 5 36.5 1 1 11.5
61.0 3 1 36.0 1 11.0
60.5 4 1 35.5 1 10.5
60.0 2 4 35.0 10.0
59.5 3 4 34.5 9.5
59.0 2 1 34.0 9.0
58.5 2 3 33.5 8.5
58.0 1 3 33.0 8.0
57.5 1 32.5 2 1 7.5
57.0 1 1 32.0 7.0
56.5 1 1 31.5 6.5
56.0 2 8 31.0 6.0
55.5 5 1 30.5 5.5
55.0 1 2 30.0 2 5.0
54.5 3 29.5 4.5
54.0 1 29.0 4.0
53.5 2 2 28.5 3.5
53.0 1 7 28.0 3.0
52.5 2 27.5 2.5
52.0 2 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
136.0 1
126.5 1
124.0 1 1
119.5 1
118.5 1
116.0 1
115.0 2 1
113.5 1
112.5 1
111.5 2
109.0 5
108.5 1
108.0 1
107.5 1
106.5 1 2
105.5 3 1
104.5 4 5
104.0 1
103.0 5 2
102.0 2 7
101.0 9
100.5 1
99.5 1 4
98.5 8 7
98.0 1
97.5 1 2
97.0 1 3
96.5 1
96.0 6 1
95.0 3 8
94.5 1
94.0 1 1 4
93.5 5 3
92.5 6 7
91.5 6 2
91.0 1
90.5 1 2
90.0 5 5
89.0 10 15
88.5 3
88.0 1 2 6
87.5 4 3
87.0 3 1
86.5 5 12
86.0 1
85.5 6 5 1
85.0 3 1
84.5 1 5
84.0 4 5
83.5 1 2 1
83.0 6 4
82.5 1
82.0 4 5
81.5 1 2
81.0 5 4
80.5 5 3
80.0 4
79.5 8 9
79.0 3 1
78.5 4 5
78.0 4 2
77.5 2 4
77.0 3 2
76.5 1 3 5
76.0 6 5
75.5 1
75.0 6 7
74.5 4 3
74.0 1 10
73.5 1 6 7
73.0 1 1 2
72.5 1 2 5
72.0 3 1
71.5 2 5 5
71.0 8 3
70.5 3 6
70.0 1 3 3
69.5 2 1
69.0 1 4
68.5 1 2 5
68.0 1 3 5
67.5 4
67.0 7 5
66.5 4 8
66.0 1 2
65.5 3 3
65.0 1 2 3
64.5 6 4
64.0 3 2
63.5 1 4 1
63.0 2 3 4 1
62.5 2
62.0 3 5
61.5 1 1 4 1
61.0 1 3
60.5 1 2 2
60.0 2 2 4
59.5 2 2 3
59.0 1 2
58.5 1 4
58.0 1 3
57.5 1
57.0 1 1
56.5 1 1 1
56.0 1 2 7
55.5 3 3
55.0 3
54.5 3
54.0 1
53.5 4
53.0 1 5 2
52.5 1 1
52.0 1 1
51.5 1
51.0 1
50.5 1
49.5 1 2
49.0 1 1
48.5 2
48.0 1 1 2
47.5 1
47.0 1 2 2
46.5 1
45.5 2
45.0 1 1 1
44.5 1
44.0 1
43.5 1 1
43.0 1 1
42.0 1 1 6
41.0 1
39.5 1
38.5 1
38.0 1
37.5 3
36.5 2
36.0 1
35.5 1
32.5 1 2
30.0 2
24.0 1
18.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Hawaii
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 0.07 0.07 0.23 9.10* 0.12 0.41 0.00
2 0.05 9.07* 0.21 0.44 0.11 0.11 0.01
3 0.31 3.99* 1.23 0.67 0.49 3.28 0.01
4 6.50* 0.38 2.78 0.10 0.08 0.16 0.00
5 0.11 6.43* 2.08 0.04 0.10 1.24 0.00
6 0.63 4.76* 0.30 0.45 0.86 3.00 0.00
7 0.85 0.22 6.37* 0.10 0.05 2.41 0.00
8 0.48 0.60 0.30 2.05* 0.22 6.35 0.00
9 3.57* 0.38 0.89 0.25 0.10 4.82 0.00
10 0.41 2.89* 0.23 0.57 0.18 5.72 0.00
11 1.01 0.29 0.45 0.47 3.15* 4.64 0.00
12 1.15 0.30 0.16 2.65* 1.23 4.50 0.00
13 0.12 0.27 0.49 2.75* 0.27 6.09 0.00
14 0.40 0.31 3.16 0.78* 0.38 4.97 0.00
15 0.18 0.44 1.55* 0.92 0.68 6.24 0.00
16 0.18 0.29 0.83 0.55* 0.22 7.92 0.01
17 1.34* 0.92 1.08 0.36 0.40 5.91 0.00
18 0.33* 0.36 0.30 0.19 0.27 8.55 0.00
19 0.79 1.75* 0.77 0.59 0.64 5.46 0.00
20 0.37 0.19 0.19 0.11 0.18* 8.96 0.00
21 0.42 0.40 0.34* 0.15 0.04 8.65 0.00
22 0.33 0.49* 0.25 0.37 0.12 8.44 0.00
23 0.51 0.38* 0.25 0.36 0.40 8.11 0.00
24 0.07 0.18* 0.26 0.18 0.04 9.27 0.00
25 0.31 0.15 0.19* 0.15 0.07 9.12 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 Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 3 1
149.0 124.0 99.0
148.5 123.5 98.5 2 1
148.0 123.0 98.0 8 5
147.5 122.5 97.5 1
147.0 122.0 2 97.0 5
146.5 121.5 96.5
146.0 121.0 96.0 2 4
145.5 120.5 1 95.5 2
145.0 120.0 95.0 1 4
144.5 119.5 4 94.5 4 3
144.0 119.0 94.0
143.5 118.5 93.5 5
143.0 118.0 93.0 3 1
142.5 117.5 92.5 1 1
142.0 117.0 1 92.0 1 1
141.5 116.5 91.5 1 1
141.0 116.0 2 91.0 7 2
140.5 115.5 90.5 1
140.0 115.0 90.0 5
139.5 114.5 1 89.5 1
139.0 114.0 89.0 1
138.5 113.5 1 88.5 1 5
138.0 113.0 88.0 4 3
137.5 112.5 87.5 6 9
137.0 112.0 87.0 4
136.5 111.5 1 86.5 1
136.0 111.0 2 86.0 3 2
135.5 110.5 85.5 4 4
135.0 110.0 2 4 85.0 4 3
134.5 109.5 84.5 2 2
134.0 109.0 1 84.0 4 5
133.5 108.5 83.5 1 1
133.0 108.0 2 83.0 5 2
132.5 107.5 2 82.5 1 2
132.0 107.0 82.0 2 3
131.5 106.5 1 81.5 3 3
131.0 106.0 81.0 1
130.5 105.5 4 80.5 6 4
130.0 105.0 1 80.0 1
129.5 104.5 1 79.5 3
129.0 104.0 1 2 79.0 3 3
128.5 103.5 78.5 1 2
128.0 103.0 3 78.0 1 4
127.5 102.5 77.5 2 1
127.0 102.0 1 3 77.0 5 2
126.5 101.5 3 76.5 3
126.0 101.0 76.0 3 3
125.5 1 100.5 75.5 3 4
American Mathematics Competitions
2005 AMC 10 B Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 1 25.0
74.5 2 6 49.5 2 24.5
74.0 3 3 49.0 24.0
73.5 4 48.5 1 23.5
73.0 2 4 48.0 1 23.0
72.5 2 47.5 22.5
72.0 3 5 47.0 22.0
71.5 2 1 46.5 1 21.5
71.0 2 4 46.0 1 21.0
70.5 1 1 45.5 20.5
70.0 4 4 45.0 2 20.0
69.5 2 2 44.5 1 19.5
69.0 4 1 44.0 1 1 19.0
68.5 3 43.5 18.5
68.0 2 43.0 1 18.0
67.5 1 1 42.5 17.5
67.0 3 42.0 2 17.0
66.5 1 2 41.5 16.5
66.0 4 7 41.0 1 16.0
65.5 3 40.5 15.5
65.0 4 3 40.0 1 15.0
64.5 1 39.5 14.5
64.0 1 1 39.0 14.0
63.5 2 38.5 1 13.5
63.0 4 38.0 13.0
62.5 2 37.5 12.5
62.0 2 1 37.0 1 12.0
61.5 2 2 36.5 11.5
61.0 3 4 36.0 11.0
60.5 1 3 35.5 10.5
60.0 5 3 35.0 10.0
59.5 1 4 34.5 9.5
59.0 1 34.0 1 9.0
58.5 1 33.5 8.5
58.0 33.0 8.0
57.5 32.5 7.5
57.0 1 32.0 7.0
56.5 1 1 31.5 1 6.5
56.0 2 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 1 1 28.5 3.5
53.0 1 28.0 3.0
52.5 2 27.5 2.5
52.0 27.0 2.0
51.5 1 1 26.5 1.5
51.0 2 1 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
125.5 1
123.0 1
122.0 2
120.5 1
119.5 1 3
117.0 2
116.0 1 1 1
114.5 1
113.5 1
111.5 1
111.0 2
110.0 1 1 4
109.0 1
108.5 1
108.0 1 2
107.5 1 1
106.5 1
105.5 1 3
105.0 1
104.5 1
104.0 3
103.0 1 2
102.0 4
101.5 3 1
99.5 1 3
98.5 3
98.0 1 4 8
97.5 2
97.0 1 1 3
96.0 1 5
95.5 2
95.0 1 4 1
94.5 1 1 5
93.5 2 5
93.0 5
92.5 1 2
92.0 1 1
91.5 3
91.0 6 4
90.5 1
90.0 2 4
89.5 1
89.0 1
88.5 3 3
88.0 4 4
87.5 3 12 1
87.0 2 2
86.5 1
86.0 5
85.5 5 3
85.0 5 2
84.5 1 3
84.0 1 3 5
83.5 2 1
83.0 5 2
82.5 3
82.0 4 1
81.5 5 1
81.0 1
80.5 6 4
80.0 1 1
79.5 4 1
79.0 2 3 1
78.5 3
78.0 4 1 1
77.5 1 2
77.0 3 5
76.5 2 1
76.0 5 2
75.5 3 4
75.0 2
74.5 3 5
74.0 3 3
73.5 3 1
73.0 1 5
72.5 2 1
72.0 6 3
71.5 2 1
71.0 6
70.5 2
70.0 6 2
69.5 1 3 1
69.0 2 3
68.5 1 2
68.0 3
67.5 3
67.0 2 1
66.5 2 1
66.0 8 4
65.5 1 2
65.0 3 4
64.5 1
64.0 2
63.5 1 1
63.0 3 1
62.5 1 1 1
62.0 2 1
61.5 1 3
61.0 5 3
60.5 1 3
60.0 1 5 2
59.5 1 3 1
59.0 1 1
58.5 1
57.0 1
56.5 1 1
56.0 2
55.5 1
55.0 1
54.5 1
54.0 1 1
53.5 2
53.0 1
52.5 1 1
51.5 1 1
51.0 2 2
50.5 1 1
50.0 1
49.5 2
48.5 2
48.0 1
46.5 1
46.0 1
45.0 2
44.5 1
44.0 1 1
43.0 1
42.0 1 1
41.0 1
40.0 1
38.5 1
37.0 1
36.5 1
34.0 1
31.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Hawaii
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 8.86* 0.24 0.35 0.12 0.29 0.14 0.00
2 0.10 0.10 0.06 9.14* 0.08 0.51 0.00
3 0.00 0.65 2.20 5.90* 0.96 0.29 0.00
4 0.98 0.08 1.00 5.35* 0.12 2.47 0.00
5 0.08 0.08 8.94* 0.12 0.35 0.43 0.00
6 0.12 8.35* 0.37 0.22 0.27 0.67 0.00
7 0.80 1.61* 0.29 1.39 0.82 5.10 0.00
8 5.98* 0.24 1.16 0.04 0.04 2.53 0.00
9 0.59 0.55 1.49 5.69* 0.57 1.10 0.00
10 1.71* 0.76 0.53 0.29 0.27 6.45 0.00
11 0.24 0.61 0.14 1.94 2.00* 5.06 0.00
12 0.69 1.47 0.37 0.12 0.39* 6.96 0.00
13 0.76 0.55 1.71* 1.82 0.33 4.84 0.00
14 0.31 0.22 2.18* 2.37 0.39 4.53 0.00
15 0.88 0.45 0.55 5.37* 0.59 2.16 0.00
16 0.31 0.73 0.51 0.37* 0.12 7.96 0.00
17 0.53 2.29* 1.22 0.37 0.16 5.43 0.00
18 0.45 5.33 0.96 1.84* 0.39 1.04 0.00
19 0.47 5.78* 0.35 0.49 0.39 2.53 0.00
20 0.67 0.22 0.98* 0.39 0.35 7.39 0.00
21 0.31* 0.24 0.16 0.24 0.16 8.88 0.00
22 0.47 1.22 0.27* 0.14 0.27 7.63 0.00
23 2.78 0.57 0.47* 0.22 0.14 5.82 0.00
24 0.37 0.31 0.16 0.27 1.37* 7.53 0.00
25 0.27 0.39 2.69* 0.20 0.16 6.29 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 Hawaii
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 2
149.0 124.0 99.0
148.5 123.5 98.5 9 6
148.0 123.0 1 98.0 1
147.5 122.5 97.5 2
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 5 2
145.5 120.5 1 95.5
145.0 120.0 1 95.0 4 11
144.5 119.5 94.5 1 1
144.0 119.0 94.0 3 1
143.5 118.5 93.5 5 3
143.0 118.0 93.0
142.5 117.5 92.5 8 7
142.0 117.0 92.0 1 1
141.5 116.5 91.5 3 3
141.0 116.0 91.0 5
140.5 115.5 90.5 1 3
140.0 115.0 1 90.0 6 1
139.5 1 114.5 89.5
139.0 114.0 89.0 6 9
138.5 113.5 1 1 88.5 2 1
138.0 113.0 88.0 3 3
137.5 112.5 1 87.5 1 1
137.0 112.0 87.0 1
136.5 111.5 86.5 5 5
136.0 111.0 86.0 1
135.5 110.5 85.5 2 2
135.0 110.0 1 2 85.0 2 3
134.5 109.5 84.5 3 2
134.0 109.0 2 84.0 4 4
133.5 108.5 83.5 1 1
133.0 108.0 4 83.0 6 7
132.5 1 107.5 1 82.5 1
132.0 107.0 82.0 4 5
131.5 106.5 1 81.5 2
131.0 106.0 81.0
130.5 105.5 2 80.5 4 2
130.0 105.0 80.0 1 1
129.5 104.5 2 79.5 4 5
129.0 3 104.0 3 1 79.0 2 4
128.5 103.5 78.5 4 1
128.0 103.0 4 1 78.0 1 2
127.5 102.5 77.5 1 2
127.0 102.0 7 1 77.0 2 4
126.5 101.5 1 76.5
126.0 1 101.0 3 7 76.0 2
125.5 100.5 5 75.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 25.0
74.5 1 1 49.5 24.5
74.0 1 49.0 24.0 1
73.5 2 3 48.5 23.5
73.0 1 48.0 1 23.0
72.5 2 47.5 1 22.5
72.0 1 2 47.0 22.0
71.5 1 46.5 21.5
71.0 1 1 46.0 21.0
70.5 1 1 45.5 20.5
70.0 1 45.0 20.0
69.5 1 44.5 19.5
69.0 3 44.0 19.0
68.5 1 2 43.5 18.5
68.0 1 43.0 18.0
67.5 2 2 42.5 17.5
67.0 42.0 1 1 17.0
66.5 2 41.5 1 16.5
66.0 41.0 1 16.0
65.5 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 1 38.0 13.0
62.5 37.5 12.5
62.0 3 37.0 12.0
61.5 2 2 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 2 35.0 10.0
59.5 1 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 32.5 7.5
57.0 32.0 7.0
56.5 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 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 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
139.5 1
132.5 1
129.0 1 1 1
126.0 1
123.0 1
120.5 1
120.0 1
115.0 1
113.5 1 1
112.5 1
110.0 2 1
109.0 1 1
108.0 2 2
107.5 1
106.5 1
105.5 2
104.5 1 1
104.0 3 1
103.0 1 4
102.0 3 5
101.5 1
101.0 5 5
100.5 2 3
99.5 7 2
98.5 9 6
98.0 1
97.5 1 1
97.0 1
96.0 5 2
95.0 9 6
94.5 2
94.0 3 1
93.5 1 4 3
92.5 1 8 6
92.0 1 1
91.5 5 1
91.0 2 3
90.5 2 2
90.0 7 1
89.0 11 4
88.5 1 2
88.0 4 2
87.5 2
87.0 2
86.5 4 6
86.0 1
85.5 1 4
85.0 1 5
84.5 1 4
84.0 4 4
83.5 1 1
83.0 5 10
82.5 1
82.0 5 4
81.5 1 1
80.5 6
80.0 1 1
79.5 9 2
79.0 5 1
78.5 5
78.0 4 1
77.5 2 1
77.0 1 3 2
76.0 1 1
75.5 1
75.0 1 1 2 1
74.5 2
74.0 1
73.5 4 1
73.0 1
72.5 2
72.0 2 1
71.5 1
71.0 2
70.5 1 1
70.0 1
69.5 1
69.0 2 1
68.5 3
68.0 1
67.5 1 1 2
66.5 2
65.5 1 1
65.0 1 3
64.5 1 1
64.0 1
63.5 1
63.0 1
62.0 3
61.5 1 1 1 1
60.0 2
59.5 1
58.5 1
58.0 1
56.5 1
56.0 1 1
52.5 1
50.5 1
48.0 1
47.5 1
42.0 1 1
41.5 1
41.0 1
39.5 1
25.5 1
24.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Hawaii
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 9.37* 0.05 0.32 0.08 0.13 0.05 0.00
2 0.03 0.03 0.05 9.66* 0.13 0.11 0.00
3 0.11 0.00 9.26* 0.08 0.37 0.18 0.00
4 0.13 9.18* 0.18 0.11 0.21 0.18 0.00
5 8.61* 0.08 0.55 0.00 0.03 0.74 0.00
6 3.82* 0.61 0.55 0.21 0.05 4.76 0.00
7 0.92 1.34 0.11 2.87* 0.50 4.26 0.00
8 0.92 1.39 4.53* 0.03 0.89 2.24 0.00
9 0.53 7.34* 0.32 0.42 0.29 1.11 0.00
10 0.13 0.37 0.16 1.68 3.97* 3.68 0.00
11 1.16 1.00 0.55 4.16* 0.47 2.66 0.00
12 0.11 0.42 0.82 1.24* 0.00 7.42 0.00
13 0.29 0.18 0.34 2.53* 0.11 6.55 0.00
14 0.55 0.71 0.66 0.39 1.29* 6.39 0.00
15 0.42 0.34 0.16 4.71* 0.42 3.95 0.00
16 0.24 0.16 0.89 0.53* 0.08 8.11 0.00
17 0.42 0.37* 0.29 0.05 0.45 8.42 0.00
18 1.11 0.55 0.45* 0.21 0.26 7.42 0.00
19 0.13 0.08 0.18 0.16 2.24* 7.21 0.00
20 0.11 0.21 4.68* 0.42 1.34 3.24 0.00
21 0.11 0.13 0.29* 0.26 0.08 9.13 0.00
22 0.24 0.34 0.13 0.13 0.11* 9.05 0.00
23 0.08 0.18* 0.11 0.05 0.03 9.55 0.00
24 0.18* 0.13 0.16 0.13 0.08 9.32 0.00
25 0.18* 0.08 0.08 0.08 0.24 9.34 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column