American Mathematics Competitions
2005 AMC 10 A Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 182
Number of unofficial participants: 0
Average score of participants: 76.8
Average score for female students is: 73.7 ( 70 Students)
Average score for male students is: 80.3 ( 94 Students)
Average score for unspecified gender is 71.1 ( 18 Students)
Average score for grade 10 is: 78.9 ( 94 Students)
Average score for grade 9 is: 76.1 ( 70 Students)
Average score for grade 8 and below is: 67.9 ( 5 Students)
Average score with unknown grade: 69.5 ( 13 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 8
Average school winning score 108.00
American Mathematics Competitions
2005 AMC 12 A Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 184
Number of unofficial participants: 0
Average score of participants: 82.2
Average score for female students is: 79.2 ( 77 Students)
Average score for male students is: 84.0 ( 101 Students)
Average score for unspecified gender is 89.7 ( 6 Students)
Average score for grade 12 is: 80.7 ( 96 Students)
Average score for grade 11 is: 83.5 ( 85 Students)
Average score for grade 10 is: 112.5 ( 1 Student)
Average score with unknown grade: 87.8 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 18
Number of schools returning results 8
Average school winning score 114.75
Average school team score 301.63
American Mathematics Competitions
2005 AMC 10 B Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 202
Number of unofficial participants: 0
Average score of participants: 78.5
Average score for female students is: 74.1 ( 91 Students)
Average score for male students is: 82.2 ( 106 Students)
Average score for unspecified gender is 79.4 ( 5 Students)
Average score for grade 10 is: 78.2 ( 132 Students)
Average score for grade 9 is: 77.8 ( 63 Students)
Average score for grade 8 and below is: 96.6 ( 6 Students)
Average score with unknown grade: 56.5 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 9
Average school winning score 104.50
American Mathematics Competitions
2005 AMC 12 B Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 355
Number of unofficial participants: 0
Average score of participants: 78.7
Average score for female students is: 76.2 ( 172 Students)
Average score for male students is: 81.3 ( 172 Students)
Average score for unspecified gender is 78.4 ( 11 Students)
Average score for grade 12 is: 80.1 ( 184 Students)
Average score for grade 11 is: 77.1 ( 161 Students)
Average score for grade 10 is: 91.2 ( 3 Students)
Average score with unknown grade: 76.1 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 22
Number of schools returning results 12
Average school winning score 110.25
Average school team score 255.75
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
363.5 1 1
350.5 1 2
331.5 1 3
325.0 1 4
316.5 1 5
314.0 1 6
310.0 1 7
304.5 1 8
304.0 1 9
300.0 1 10
296.5 1 11
293.5 1 12
292.5 1 13
287.5 1 14
286.5 1 15
286.0 1 16
159.5 1 17
143.0 1 18
112.0 1 19
105.5 1 20
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
136.0 2
126.5 1
123.0 1
119.5 1
118.5 1
118.0 1
117.0 1
116.0 1 1
115.5 1
113.5 1
112.5 3 1
112.0 1 2
111.5 1
110.0 1
109.0 1 1 2
108.5 1
107.5 1 2
106.5 1
105.5 2 1
105.0 1 1
104.0 1
103.0 2 1 3
102.0 2 4 1 2
101.5 2
101.0 2 5 2 1
100.5 1 3 1 1
99.5 2 1 1
99.0 1 1
98.5 5 1
98.0 1 1 1
97.0 3 2 2
96.0 3 1 1 1
95.5 1 2
95.0 5 6 1 3
94.5 2 2 4
94.0 2 1 1
93.5 2 1 2
93.0 1 1
92.5 5 7 1
92.0 1 2 3 3
91.5 2 2 2 1
91.0 2 4 1 2
90.5 1
90.0 8 9 1 5
89.5 2
89.0 4 13 2 1
88.5 1 2 2 3
88.0 2 6 2
87.5 3 3 1 1
87.0 1 2 2 3
86.5 2 8 2 6
86.0 1 2 1
85.5 8 8 4 1
85.0 2 4 4
84.5 5 5 2 1
84.0 1 10 2 8
83.5 1 4 6
83.0 6 5 5 2
82.5 1
82.0 4 8 4 4
81.5 1 7 3 1
81.0 6 8 1 1
80.5 4 4 5 9
80.0 1 2 2 2
79.5 5 5 5 4
79.0 1 5 2 1
78.5 2 7 4 2
78.0 3 5 3 1
77.5 2 4 2
77.0 5 13 4 3
76.5 1 8 1 4
76.0 5 3
75.5 1 4 1 5
75.0 3 4 3
74.5 2 10 4 5
74.0 4 2 2 2
73.5 4 4 3 3
73.0 1 2 1 5
72.5 1 3 1
72.0 6 2 4
71.5 1 2 2 1
71.0 6 7 3 1
70.5 6 1 1
70.0 3 5 3 4
69.5 5 3 2
69.0 3 1 2 3
68.5 2 2 2 1
68.0 1 2 1
67.5 3 5 4 3
67.0 1 6 2 2
66.5 2 4 4
66.0 1 2 2 2
65.5 1 4 3 3
65.0 2 6 5 3
64.5 2 3
64.0 1 2
63.5 1 1 1
63.0 2 2 1 1
62.5 1 4 3 2
62.0 3
61.5 2 2
61.0 2 2
60.5 1 3
60.0 1 3 2 1
59.5 1 4 3 2
59.0 1 2
58.5 2 1 1
58.0 1 3 1
57.0 1
56.5 1 1 2
56.0 1 1 2
55.5 1
55.0 1 2
54.5 2 1 2
54.0 4
53.0 1
52.5 2
51.5 1
50.5 1
50.0 1 2
49.5 1
48.5 1
48.0 1 1
47.5 1 1
46.5 1
46.0 1
45.0 1
44.0 1
43.0 1
42.5 1
42.0 1 1
41.5 1
41.0 1 1
40.5 1
39.0 1
36.0 2
35.0 1
34.5 1
32.5 1
30.5 1
30.0 1
24.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Rhode Island
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 1
148.5 123.5 98.5
148.0 123.0 1 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 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
142.0 117.0 92.0 2 1
141.5 116.5 91.5 2
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 1 88.5 1 1
138.0 113.0 88.0 1 1
137.5 112.5 1 87.5 1
137.0 112.0 1 87.0 1 1
136.5 111.5 1 86.5 1 1
136.0 111.0 86.0
135.5 110.5 85.5 4
135.0 110.0 85.0
134.5 109.5 84.5 2
134.0 109.0 2 84.0 1 1
133.5 108.5 83.5
133.0 108.0 83.0 4 1
132.5 107.5 1 82.5 1
132.0 107.0 82.0 2 2
131.5 106.5 81.5 2 1
131.0 106.0 81.0 1
130.5 105.5 80.5 4 1
130.0 105.0 80.0 1 1
129.5 104.5 79.5 3 1
129.0 104.0 79.0 1 1
128.5 103.5 78.5 3 1
128.0 103.0 78.0 3
127.5 102.5 77.5 2 1
127.0 102.0 77.0 1 3
126.5 1 101.5 2 76.5 1
126.0 101.0 1 1 76.0
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 10 A Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 50.0 25.0
74.5 2 2 49.5 24.5
74.0 2 49.0 24.0 1
73.5 3 48.5 23.5
73.0 48.0 1 23.0
72.5 1 1 47.5 1 22.5
72.0 2 47.0 22.0
71.5 2 46.5 1 21.5
71.0 2 1 46.0 1 21.0
70.5 45.5 20.5
70.0 1 2 45.0 20.0
69.5 2 44.5 19.5
69.0 2 44.0 19.0
68.5 1 1 43.5 18.5
68.0 43.0 18.0
67.5 2 2 42.5 17.5
67.0 1 42.0 17.0
66.5 2 2 41.5 1 16.5
66.0 41.0 16.0
65.5 1 1 40.5 15.5
65.0 3 2 40.0 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 1 1 36.5 11.5
61.0 1 36.0 11.0
60.5 2 1 35.5 10.5
60.0 1 35.0 10.0
59.5 3 34.5 9.5
59.0 34.0 9.0
58.5 33.5 8.5
58.0 3 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 1 1 30.0 1 5.0
54.5 1 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 10 A Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
126.5 1
123.0 1
113.5 1
112.5 1
112.0 1 1
111.5 1
109.0 2
107.5 1
102.0 1
101.5 1 1
101.0 1 1
100.5 1
99.5 1
99.0 1
98.0 1
96.0 1
95.0 1
94.5 1 1
93.5 1
92.0 3
91.5 2
91.0 1
90.0 1
89.0 2
88.5 2
88.0 1 1
87.5 1
87.0 1 1
86.5 1 1
85.5 1 3
84.5 1 1
84.0 1 1
83.0 3 2
82.5 1
82.0 2 2
81.5 1 2
81.0 1
80.5 2 3
80.0 2
79.5 1 1 2 1
79.0 2
78.5 2 2
78.0 3
77.5 1 1 2
77.0 1 3
76.5 1
75.5 1
75.0 2 1
74.5 2 2
74.0 1 1
73.5 2 1
73.0 1
72.5 1 1 1
72.0 2
71.5 2
71.0 3
70.5 1
70.0 1 2
69.5 2 1
69.0 2
68.5 1 1
67.5 3 1
67.0 1 1
66.5 2 2
66.0 2
65.5 1 1 1
65.0 4 1
63.5 1
63.0 1
62.5 1 1 1
61.5 2
61.0 1 1
60.5 2 1
60.0 1 1
59.5 2 1
58.5 1
58.0 1 2
56.0 1
55.0 2
54.5 1 1
48.0 1
47.5 1
46.5 1
46.0 1
41.5 1
30.0 1
24.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Rhode Island
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 0.33 0.22 0.33 8.52* 0.22 0.38 0.00
2 0.11 0.27 5.82* 0.00 1.43 2.36 0.00
3 0.11 8.96* 0.00 0.27 0.00 0.66 0.00
4 0.66 1.37* 1.32 0.60 0.88 5.16 0.00
5 5.88* 0.27 3.02 0.11 0.00 0.71 0.00
6 0.11 5.71* 2.25 0.38 0.16 1.37 0.00
7 0.55 3.96* 0.38 0.22 0.33 4.56 0.00
8 0.60 0.27 4.12* 0.16 0.22 4.62 0.00
9 1.21 5.99* 0.60 0.05 0.05 2.09 0.00
10 1.37* 0.16 0.55 0.11 0.11 7.69 0.00
11 0.22 1.59* 0.16 0.44 0.22 7.36 0.00
12 0.16 1.10* 0.60 0.16 0.44 7.53 0.00
13 0.71 0.44 0.27 0.16 1.15* 7.25 0.00
14 1.15 0.16 0.22 0.38 2.80* 5.27 0.00
15 0.16 0.27 0.66 0.66 0.77* 7.47 0.00
16 0.44 0.16 0.82 2.36* 0.00 6.21 0.00
17 0.16 0.27 0.16 1.76* 0.27 7.36 0.00
18 1.26* 1.92 0.77 3.19 0.22 2.64 0.00
19 0.22 0.60 0.60 3.57* 0.49 4.51 0.00
20 0.66* 0.16 0.38 0.16 0.38 8.24 0.00
21 1.15 0.66* 0.16 0.11 0.27 7.64 0.00
22 0.66 0.49 0.22 2.03* 0.11 6.48 0.00
23 0.00 0.11 0.77* 0.71 0.66 7.75 0.00
24 0.71 0.27* 0.22 0.05 0.05 8.68 0.00
25 0.27 0.44 0.27 0.33* 0.05 8.63 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 Rhode Island
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
149.0 124.0 99.0 1
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0 2 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 4 1
144.5 119.5 94.5
144.0 119.0 94.0 1 1
143.5 118.5 93.5 2
143.0 118.0 1 93.0
142.5 117.5 92.5 5
142.0 117.0 1 92.0 1
141.5 116.5 91.5 1 1
141.0 116.0 91.0 1 1
140.5 115.5 90.5
140.0 115.0 90.0 4 4
139.5 114.5 89.5
139.0 114.0 89.0 4
138.5 113.5 88.5 1
138.0 113.0 88.0 1
137.5 112.5 3 87.5 2 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1 1
136.0 2 111.0 86.0 1
135.5 110.5 85.5 3 5
135.0 110.0 1 85.0 1 1
134.5 109.5 84.5 2 3
134.0 109.0 1 84.0 1
133.5 108.5 83.5 1
133.0 108.0 83.0 3 3
132.5 107.5 82.5
132.0 107.0 82.0 1 3
131.5 106.5 81.5 1
131.0 106.0 81.0 3 2
130.5 105.5 80.5 2 2
130.0 105.0 80.0 1
129.5 104.5 79.5 1 4
129.0 104.0 79.0 1
128.5 103.5 78.5 1 1
128.0 103.0 2 78.0 2 1
127.5 102.5 77.5
127.0 102.0 2 77.0 5
126.5 101.5 76.5 1
126.0 101.0 1 1 76.0 4 1
125.5 100.5 1 75.5 1
American Mathematics Competitions
2005 AMC 12 A Results for Rhode Island
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 49.5 24.5
74.0 2 2 49.0 24.0
73.5 1 3 48.5 23.5
73.0 1 48.0 23.0
72.5 47.5 22.5
72.0 47.0 22.0
71.5 1 46.5 21.5
71.0 4 2 46.0 21.0
70.5 45.5 20.5
70.0 2 1 45.0 1 20.0
69.5 44.5 19.5
69.0 3 44.0 19.0
68.5 1 1 43.5 18.5
68.0 1 43.0 1 18.0
67.5 1 2 42.5 17.5
67.0 1 42.0 1 17.0
66.5 1 1 41.5 16.5
66.0 1 41.0 1 16.0
65.5 1 40.5 15.5
65.0 2 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 38.5 13.5
63.0 2 38.0 13.0
62.5 1 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 34.5 9.5
59.0 1 34.0 9.0
58.5 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 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 2 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 A Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1 1
118.5 1
118.0 1
117.0 1
116.0 1
112.5 1 1 1
110.0 1
109.0 1
103.0 2
102.0 2
101.0 2
100.5 1
99.0 1
97.0 2 1
96.0 2 1
95.0 1 4
94.0 2
93.5 1 1
92.5 1 4
92.0 1
91.5 2
91.0 2
90.0 3 5
89.0 2 2
88.5 1
88.0 1 1
87.5 3
87.0 1
86.5 2
86.0 1
85.5 3 5
85.0 2
84.5 3 2
84.0 1
83.5 1
83.0 2 4
82.0 3 1
81.5 1
81.0 4 2
80.5 2 2
80.0 1
79.5 3 2
79.0 1
78.5 1 1
78.0 2 1
77.0 2 3
76.5 1
76.0 3 2
75.5 1
75.0 1 2
74.5 2
74.0 2 2
73.5 1 3
73.0 1
71.5 1
71.0 4 2
70.0 1 2
69.0 3
68.5 1 1
68.0 1
67.5 2 1
67.0 1
66.5 1 1
66.0 1
65.5 1
65.0 1 1
64.0 1
63.0 2
62.5 1
60.0 1
59.5 1
59.0 1
58.0 1
56.5 1
54.5 2
50.0 1
45.0 1
43.0 1
42.0 1
41.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Rhode Island
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 0.11 0.16 9.73* 0.00 0.00 0.00
2 0.00 9.35* 0.16 0.38 0.00 0.11 0.00
3 0.33 4.67* 0.76 0.49 0.76 2.99 0.00
4 7.61* 0.27 1.85 0.00 0.00 0.22 0.05
5 0.11 7.61* 1.47 0.16 0.16 0.49 0.00
6 0.33 5.49* 0.43 0.22 0.54 2.99 0.00
7 0.22 0.16 8.64* 0.00 0.00 0.98 0.00
8 0.27 0.82 0.22 2.23* 0.16 6.30 0.00
9 3.32* 0.71 0.82 0.11 0.16 4.89 0.00
10 0.22 3.32* 0.00 0.43 0.11 5.92 0.00
11 1.58 0.16 0.11 0.49 3.64* 4.02 0.00
12 0.60 0.16 0.16 4.35* 0.87 3.86 0.00
13 0.16 0.05 0.05 2.99* 0.27 6.47 0.00
14 0.16 0.16 3.37 1.09* 0.38 4.84 0.00
15 0.22 0.33 1.41* 0.43 0.82 6.79 0.00
16 0.16 0.16 0.60 0.65* 0.71 7.72 0.00
17 1.63* 0.54 1.14 0.22 0.38 6.09 0.00
18 0.54* 0.22 0.05 0.22 0.38 8.59 0.00
19 1.47 2.28* 0.65 0.38 0.92 4.29 0.00
20 0.22 0.22 0.05 0.27 0.22* 9.02 0.00
21 0.38 0.60 0.33* 0.16 0.00 8.53 0.00
22 0.49 0.54* 0.27 0.33 0.11 8.26 0.00
23 0.27 0.60* 0.11 0.16 0.38 8.48 0.00
24 0.00 0.11* 0.05 0.16 0.00 9.67 0.00
25 0.27 0.00 0.11* 0.11 0.05 9.46 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 Rhode Island
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
147.0 122.0 97.0 2
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5 2
145.0 120.0 95.0 3
144.5 119.5 94.5 3 1
144.0 119.0 94.0 1
143.5 118.5 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0 3
141.5 116.5 91.5 1
141.0 116.0 91.0 1 1
140.5 115.5 1 90.5
140.0 115.0 90.0 3 2
139.5 114.5 89.5 2
139.0 114.0 89.0 1
138.5 113.5 88.5 2 1
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 87.0 1 2
136.5 111.5 86.5 4 2
136.0 111.0 86.0 1
135.5 110.5 85.5 1
135.0 110.0 85.0 1 2
134.5 109.5 84.5 1
134.0 109.0 84.0 3 5
133.5 108.5 1 83.5 6
133.0 108.0 83.0 1 1
132.5 107.5 2 82.5
132.0 107.0 82.0 2 2
131.5 106.5 81.5 1
131.0 106.0 81.0 1
130.5 105.5 1 80.5 5 4
130.0 105.0 1 80.0 2
129.5 104.5 79.5 3 1
129.0 104.0 1 79.0 1
128.5 103.5 78.5 1
128.0 103.0 3 78.0 1
127.5 102.5 77.5 1 1
127.0 102.0 2 77.0 1 2
126.5 101.5 76.5 3 1
126.0 101.0 1 76.0 2 1
125.5 100.5 1 75.5 3 2
American Mathematics Competitions
2005 AMC 10 B Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 50.0 2 25.0
74.5 2 3 49.5 1 24.5
74.0 1 1 49.0 24.0
73.5 2 1 48.5 1 23.5
73.0 3 1 48.0 23.0
72.5 1 47.5 22.5
72.0 3 1 47.0 22.0
71.5 1 46.5 21.5
71.0 1 46.0 21.0
70.5 1 45.5 20.5
70.0 4 45.0 20.0
69.5 1 1 44.5 19.5
69.0 3 44.0 1 19.0
68.5 1 43.5 18.5
68.0 1 43.0 18.0
67.5 1 1 42.5 17.5
67.0 2 42.0 17.0
66.5 41.5 16.5
66.0 1 1 41.0 16.0
65.5 2 1 40.5 1 15.5
65.0 1 2 40.0 15.0
64.5 2 1 39.5 14.5
64.0 39.0 1 14.0
63.5 1 38.5 13.5
63.0 1 38.0 13.0
62.5 2 37.5 12.5
62.0 37.0 12.0
61.5 36.5 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 1 1 34.5 1 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 1 7.5
57.0 32.0 7.0
56.5 1 1 31.5 6.5
56.0 1 1 31.0 6.0
55.5 1 30.5 1 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 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
115.5 1
108.5 1
107.5 2
105.5 1
105.0 1
104.0 1
103.0 3
102.0 2
101.0 1
100.5 1
99.5 1
98.5 1
98.0 1
97.0 2
96.0 1
95.5 2
95.0 1 2
94.5 1 3
94.0 1
93.5 2
93.0 1
92.5 1
92.0 3
91.5 1
91.0 2
90.0 2 3
89.5 2
89.0 1
88.5 1 2
87.5 1
87.0 1 2
86.5 2 4
86.0 1
85.5 1
85.0 1 3
84.5 1
84.0 4 4
83.5 1 5
83.0 1 1
82.0 1 3
81.5 1
81.0 1
80.5 3 6
80.0 1 1
79.5 3 1
79.0 1
78.5 2
78.0 1
77.5 1 1
77.0 3
76.5 1 3
76.0 2 1
75.5 1 4
74.5 2 3
74.0 1 1
73.5 3
73.0 1 4
72.5 1
72.0 1 3
71.5 1
71.0 1
70.5 1
70.0 1 1 2
69.5 1 1
69.0 2 1
68.5 1
68.0 1
67.5 3
67.0 1 1
66.0 1 1
65.5 1 2
65.0 2 1
64.5 1 2
63.5 1
63.0 1
62.5 1 1
60.0 1
59.5 2
58.5 1
58.0 1
56.5 1 1
56.0 2
55.5 1
51.5 1
50.5 1
50.0 2
49.5 1
48.5 1
44.0 1
40.5 1
39.0 1
34.5 1
32.5 1
30.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Rhode Island
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 9.11* 0.25 0.30 0.05 0.25 0.05 0.00
2 0.15 0.10 0.05 8.81* 0.20 0.69 0.00
3 0.00 0.89 2.03 5.99* 0.94 0.10 0.05
4 0.59 0.20 0.54 4.21* 0.25 4.21 0.00
5 0.15 0.00 9.36* 0.15 0.15 0.20 0.00
6 0.25 8.61* 0.25 0.30 0.20 0.40 0.00
7 0.45 0.94* 0.50 1.14 0.69 6.29 0.00
8 5.35* 0.25 0.84 0.05 0.15 3.37 0.00
9 0.64 0.74 1.73 5.25* 0.79 0.84 0.00
10 1.39* 1.29 0.45 0.30 0.50 6.09 0.00
11 0.10 0.50 0.10 1.93 1.98* 5.40 0.00
12 0.59 1.34 0.59 0.54 0.10* 6.83 0.00
13 0.54 0.89 1.49* 2.08 0.59 4.41 0.00
14 0.35 0.25 1.39* 2.87 0.74 4.41 0.00
15 1.04 0.74 0.94 4.70* 0.64 1.93 0.00
16 0.35 0.59 1.09 0.15* 0.15 7.67 0.00
17 0.54 3.27* 0.69 0.35 0.15 5.00 0.00
18 0.54 4.31 0.84 2.52* 0.79 0.99 0.00
19 0.35 6.83* 0.30 0.69 0.35 1.49 0.00
20 1.19 0.45 1.09* 0.15 0.10 6.98 0.05
21 0.40* 0.40 0.30 0.54 0.25 8.12 0.00
22 0.74 0.74 0.40* 0.15 0.30 7.67 0.00
23 3.07 0.54 0.25* 0.15 0.25 5.74 0.00
24 0.30 0.20 0.35 0.30 0.99* 7.87 0.00
25 0.20 0.20 3.61* 0.05 0.25 5.69 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 Rhode Island
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
148.5 123.5 98.5 3 2
148.0 123.0 98.0 1
147.5 122.5 97.5
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 4
144.5 119.5 1 94.5 1 1
144.0 119.0 94.0 1
143.5 118.5 93.5
143.0 1 118.0 93.0 1
142.5 117.5 92.5 4 3
142.0 117.0 92.0 2
141.5 116.5 91.5 1 1
141.0 116.0 1 91.0 2 2
140.5 115.5 90.5 1
140.0 115.0 90.0 6 3
139.5 114.5 89.5
139.0 114.0 89.0 6 5
138.5 113.5 88.5 2
138.0 113.0 88.0 3 3
137.5 112.5 87.5 1 2
137.0 112.0 1 87.0 1 1
136.5 111.5 86.5 6 2
136.0 111.0 86.0 1 1
135.5 110.5 85.5 5 3
135.0 110.0 85.0 3
134.5 109.5 84.5 2 3
134.0 109.0 1 84.0 5 5
133.5 108.5 83.5 2 2
133.0 108.0 83.0 2 3
132.5 107.5 82.5
132.0 107.0 82.0 3 5
131.5 106.5 1 81.5 4 3
131.0 106.0 81.0 4 4
130.5 105.5 1 80.5 2 2
130.0 105.0 1 80.0 1 1
129.5 104.5 79.5 5
129.0 104.0 79.0 3 2
128.5 103.5 78.5 4 3
128.0 103.0 1 78.0 1 3
127.5 102.5 77.5 1
127.0 102.0 2 2 77.0 6 7
126.5 101.5 76.5 5 3
126.0 101.0 4 76.0
125.5 100.5 3 75.5 2 2
American Mathematics Competitions
2005 AMC 12 B Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 50.0 25.0
74.5 9 1 49.5 24.5
74.0 2 49.0 24.0
73.5 4 48.5 23.5
73.0 1 1 48.0 1 23.0
72.5 1 47.5 1 22.5
72.0 2 4 47.0 22.0
71.5 2 46.5 21.5
71.0 3 4 46.0 21.0
70.5 3 3 45.5 20.5
70.0 4 1 45.0 20.0
69.5 2 3 44.5 19.5
69.0 1 44.0 19.0
68.5 2 43.5 18.5
68.0 1 1 43.0 18.0
67.5 2 3 42.5 1 17.5
67.0 2 3 42.0 1 17.0
66.5 4 41.5 16.5
66.0 2 41.0 1 16.0
65.5 1 3 40.5 15.5
65.0 2 4 40.0 15.0
64.5 1 1 39.5 14.5
64.0 1 1 39.0 14.0
63.5 1 38.5 13.5
63.0 2 38.0 13.0
62.5 1 3 37.5 12.5
62.0 1 2 37.0 12.0
61.5 2 36.5 11.5
61.0 1 1 36.0 1 11.0
60.5 1 35.5 10.5
60.0 1 2 35.0 1 10.0
59.5 4 34.5 9.5
59.0 1 34.0 9.0
58.5 1 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 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 1 29.5 4.5
54.0 2 2 29.0 4.0
53.5 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 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 Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
119.5 1
116.0 1
112.0 1
109.0 1
106.5 1
105.5 1 1
105.0 1
103.0 1
102.0 1 3
101.0 4 1
100.5 1 2
99.5 1 1
98.5 2 3
98.0 1
97.0 1 1
96.0 1
95.5 1
95.0 3 3
94.5 1 1
94.0 1
93.0 1
92.5 1 1 5
92.0 2
91.5 1 1
91.0 4
90.5 1
90.0 3 6
89.0 6 6 1
88.5 1 1
88.0 4 2
87.5 1 2
87.0 1 1
86.5 5 3
86.0 2
85.5 5 3
85.0 4
84.5 3 2
84.0 4 6
83.5 3 1
83.0 1 4
82.0 4 4
81.5 3 4
81.0 5 3
80.5 2 2
80.0 1 1
79.5 2 2 1
79.0 1 4
78.5 5 2
78.0 5
77.5 1 1
77.0 7 6
76.5 1 7
75.5 1 3
75.0 4
74.5 5 5
74.0 1 1
73.5 1 3
73.0 2
72.5 1
72.0 2 4
71.5 1 1
71.0 4 3
70.5 5 1
70.0 3 2
69.5 3 2
69.0 1
68.5 1 1
68.0 2
67.5 4 1
67.0 3 3
66.5 3 1
66.0 2
65.5 2 2
65.0 1 2 3
64.5 1 1
64.0 2
63.5 1
63.0 2
62.5 2 2
62.0 2 1
61.5 1 1
61.0 2
60.5 1
60.0 1 2
59.5 1 3
59.0 1 1
58.5 1 1
57.0 1
56.5 1
56.0 1
55.0 1
54.5 1
54.0 1 3
53.0 1
52.5 1 1
48.0 1
47.5 1
42.5 1
42.0 1
41.0 1
36.0 1 1
35.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Rhode Island
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 9.21* 0.23 0.23 0.03 0.25 0.06 0.00
2 0.20 0.14 0.08 9.24* 0.11 0.23 0.00
3 0.06 0.00 9.04* 0.20 0.51 0.20 0.00
4 0.14 8.90* 0.11 0.17 0.28 0.39 0.00
5 6.99* 0.08 1.18 0.06 0.03 1.66 0.00
6 2.08* 1.30 0.62 0.56 0.34 5.10 0.00
7 1.72 1.72 0.20 1.38* 0.48 4.51 0.00
8 1.55 2.11 3.46* 0.11 0.93 1.83 0.00
9 0.25 7.27* 0.54 0.39 0.39 1.15 0.00
10 0.23 0.73 0.08 2.28 2.68* 4.00 0.00
11 1.21 0.93 0.85 4.85* 0.48 1.69 0.00
12 0.28 0.70 1.01 0.39* 0.06 7.55 0.00
13 0.45 0.42 0.37 1.01* 0.17 7.58 0.00
14 0.90 0.96 0.51 0.45 0.93* 6.25 0.00
15 0.79 0.28 0.37 4.65* 0.62 3.30 0.00
16 0.31 0.31 0.59 0.62* 0.31 7.86 0.00
17 0.34 0.37* 0.25 0.23 0.73 8.08 0.00
18 1.80 0.42 0.54* 0.34 0.34 6.56 0.00
19 0.28 0.25 0.28 0.25 2.23* 6.70 0.00
20 0.25 0.34 3.58* 1.01 2.28 2.54 0.00
21 0.34 0.25 0.56* 0.37 0.20 8.28 0.00
22 0.54 0.82 0.03 0.28 0.08* 8.25 0.00
23 0.11 0.20* 0.17 0.08 0.08 9.35 0.00
24 0.51* 0.42 0.45 0.11 0.28 8.23 0.00
25 0.65* 0.28 0.20 0.17 0.54 8.17 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column