American Mathematics Competitions
2006 AMC 10 A Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 215
Number of unofficial participants: 0
Average score of participants: 74.8
Average score for female students is: 67.8 ( 86 Students)
Average score for male students is: 80.1 ( 117 Students)
Average score for unspecified gender is 72.9 ( 12 Students)
Average score for grade 10 is: 74.7 ( 145 Students)
Average score for grade 9 is: 75.3 ( 64 Students)
Average score for grade 8 and below is: 70.1 ( 4 Students)
Average score with unknown grade: 70.5 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 9
Average school winning score 112.33
American Mathematics Competitions
2006 AMC 12 A Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 187
Number of unofficial participants: 0
Average score of participants: 86.4
Average score for female students is: 81.0 ( 74 Students)
Average score for male students is: 89.7 ( 107 Students)
Average score for unspecified gender is 94.3 ( 6 Students)
Average score for grade 12 is: 88.3 ( 79 Students)
Average score for grade 11 is: 85.0 ( 101 Students)
Average score for grade 10 is: 85.6 ( 4 Students)
Average score for grade 8 and below is: 84.5 ( 1 Student)
Average score with unknown grade: 81.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 35
Number of schools returning results 10
Average school winning score 111.70
Average school team score 300.45
American Mathematics Competitions
2006 AMC 10 B Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 247
Number of unofficial participants: 0
Average score of participants: 65.0
Average score for female students is: 61.5 ( 119 Students)
Average score for male students is: 69.4 ( 120 Students)
Average score for unspecified gender is 52.9 ( 8 Students)
Average score for grade 10 is: 65.4 ( 148 Students)
Average score for grade 9 is: 64.5 ( 97 Students)
Average score with unknown grade: 62.3 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 9
Average school winning score 109.83
American Mathematics Competitions
2006 AMC 12 B Results for Rhode Island
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 241
Number of unofficial participants: 0
Average score of participants: 83.8
Average score for female students is: 79.7 ( 110 Students)
Average score for male students is: 87.4 ( 118 Students)
Average score for unspecified gender is 86.2 ( 13 Students)
Average score for grade 12 is: 84.2 ( 106 Students)
Average score for grade 11 is: 83.6 ( 130 Students)
Average score with unknown grade: 82.6 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 34
Number of schools returning results 9
Average school winning score 105.44
Average school team score 284.22
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
370.5 1 1
337.5 1 2
335.0 1 3
329.0 1 4
325.5 1 5
325.0 1 6
320.0 1 7
317.5 1 8
314.0 1 9
312.0 1 10
309.0 1 11
307.0 1 12
297.5 1 13
292.0 1 14
284.5 1 15
268.5 1 16
236.0 1 17
167.0 1 18
115.0 1 19
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
143.0 1
140.5 1
137.0 2
134.5 2
132.0 1
130.0 1
129.0 1
126.5 1 1 1
125.5 1
123.0 1
120.5 1
119.0 1
118.5 1
118.0 1 1
117.0 1 1
116.0 1
115.0 1 1
112.5 1 1
111.5 1
110.0 2 2 2
109.5 1
109.0 3 2
108.0 1 1
106.5 5 3
106.0 1
105.5 3 5 1
105.0 2 1
104.5 3
104.0 3 3
103.0 4 4 1
102.0 4 5 1 1
101.5 1 1
101.0 2 5
100.5 1 2 1 1
100.0 1
99.5 3 1
99.0 2 1
98.5 1 7
98.0 3 2 1
97.5 3
97.0 3 3 1 1
96.5 2
96.0 6 5
95.5 1 4
95.0 1 8 2 1
94.5 8 2 1
94.0 1 5 1
93.5 3 3 1 1
93.0 1
92.5 6 1
92.0 1 1 2
91.5 7 1
91.0 4 3 1
90.5 1 1
90.0 4 4 3 3
89.0 3 7 2 3
88.5 6 1 1 1
88.0 1 5 1
87.5 2 3 2
87.0 1
86.5 4 5 4 2
86.0 4 3
85.5 6 4 3
85.0 3 2
84.5 2 3 2
84.0 4 6 2
83.5 3 2 6
83.0 3 7 2
82.5 3 2 2 1
82.0 2 6 1 1
81.5 3 1 3
81.0 2 1
80.5 3 4 2 2
80.0 2 2 1 1
79.5 3 5 2 2
79.0 2 1 1
78.5 4 1 1
78.0 2 3 5 3
77.5 2 2 4
77.0 3 5 1 2
76.5 1 1 1 4
76.0 5 1
75.5 4 3 4 3
75.0 1 3 2 1
74.5 5 4 5 3
74.0 1 1 2 1
73.5 2 1
73.0 1 2 4
72.5 4 4 2
72.0 3 4 4 4
71.5 4 2 1
71.0 1 3 4
70.5 1 5 2
70.0 3 2 4
69.5 5 3 4 1
69.0 1 1
68.5 2 3 3 4
68.0 2 1 3
67.5 1 2
67.0 2 1 2 2
66.5 1 3 2
66.0 8 4
65.5 4
65.0 1 3
64.5 1 1
64.0 3 3
63.5 3 3 5
63.0 1 2 1
62.5 2 2
62.0 2 2 2 1
61.5 1 1 3
61.0 3 1 1
60.5 2 1 2 4
60.0 2 1 7 1
59.5 1 3 4
59.0 1 2
58.5 1 1 2
58.0 1 2 2
57.5 1 6
57.0 1 1
56.5 1 2
56.0 1 6
55.5 1
55.0 2 7
54.5 1 3
54.0 1 3 6
53.5 2 1 1
53.0 2 3
52.5 2
52.0 1 3
51.5 1 1 2
51.0 1 1
50.5 3
50.0 1 1
49.5 1
49.0 2
48.5 2
48.0 1 5 5
47.5 1 2
47.0 1
46.5 4
45.5 4
45.0 1
44.5 1
44.0 1 1
43.5 1 1
43.0 1 1
42.5 1
42.0 5 1
41.5 2 1
41.0 1
40.5 1
40.0 1 1 2
39.0 1 1
38.5 3
38.0 1 2
36.5 1 2
36.0 1 2
35.5 1 1 1
35.0 1
34.5 3
33.5 1
30.5 1
30.0 2 3
29.5 1
27.0 1
25.5 1
17.5 1
16.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0 2
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
145.5 120.5 1 95.5 3 1
145.0 120.0 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 1 93.0
142.5 117.5 92.5 1
142.0 117.0 1 92.0 1
141.5 116.5 91.5
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0 2 1
139.5 114.5 89.5
139.0 114.0 89.0 1 1
138.5 113.5 88.5 1
138.0 113.0 88.0 1
137.5 112.5 87.5
137.0 2 112.0 87.0
136.5 111.5 1 86.5 3 1
136.0 111.0 86.0 1 2
135.5 110.5 85.5 2 2
135.0 110.0 2 85.0 1 1
134.5 109.5 84.5 2
134.0 109.0 84.0 1 1
133.5 108.5 83.5 6
133.0 108.0 1 83.0 1 1
132.5 107.5 82.5 2
132.0 1 107.0 82.0 1
131.5 106.5 81.5 3
131.0 106.0 1 81.0
130.5 105.5 1 80.5 1 1
130.0 1 105.0 2 80.0 1
129.5 104.5 79.5 2
129.0 104.0 2 1 79.0 1
128.5 103.5 78.5 1
128.0 103.0 1 78.0 3 1
127.5 102.5 77.5
127.0 102.0 1 77.0 1
126.5 1 101.5 76.5 1
126.0 101.0 76.0 1
125.5 100.5 1 75.5 3 1
American Mathematics Competitions
2006 AMC 10 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 1 4 49.5 24.5
74.0 1 1 49.0 24.0
73.5 1 48.5 23.5
73.0 48.0 4 23.0
72.5 1 1 47.5 1 22.5
72.0 2 2 47.0 22.0
71.5 46.5 21.5
71.0 2 46.0 21.0
70.5 2 3 45.5 20.5
70.0 2 45.0 1 20.0
69.5 1 3 44.5 1 19.5
69.0 1 44.0 19.0
68.5 2 43.5 1 18.5
68.0 1 43.0 1 18.0
67.5 1 42.5 17.5
67.0 1 42.0 2 3 17.0
66.5 2 1 41.5 1 1 16.5
66.0 5 3 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 1 15.0
64.5 1 39.5 14.5
64.0 39.0 14.0
63.5 2 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 1 11.5
61.0 36.0 1 11.0
60.5 2 35.5 1 10.5
60.0 4 3 35.0 1 10.0
59.5 2 1 34.5 9.5
59.0 34.0 9.0
58.5 1 33.5 8.5
58.0 2 33.0 8.0
57.5 1 32.5 7.5
57.0 32.0 7.0
56.5 1 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 1 30.0 2 5.0
54.5 1 2 29.5 4.5
54.0 2 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 1 27.0 2.0
51.5 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
137.0 1 1
132.0 1
130.0 1
126.5 1
120.5 1
118.0 1
117.0 1
111.5 1
110.0 2
109.5 1
108.0 1
106.0 1
105.5 1
105.0 2
104.0 3
103.0 1
102.0 1
100.5 1
100.0 1
98.0 2
97.0 1
95.5 4
95.0 1 1
94.5 2
93.5 1
92.5 1
92.0 1
91.0 1
90.0 3
89.0 1 1
88.5 1
88.0 1
86.5 1 3
86.0 3
85.5 3 1
85.0 1 1
84.5 1 1
84.0 1 1
83.5 2 4
83.0 1 1
82.5 1 1
82.0 1
81.5 1 2
80.5 2
80.0 1
79.5 1 1
79.0 1
78.5 1
78.0 5
77.0 1
76.5 1
76.0 1
75.5 2 2
75.0 2
74.5 3 2
74.0 1 1
73.5 1
72.5 2 2
72.0 2 2
71.0 1 1 1
70.5 1 4
70.0 1 1
69.5 1 1 2
69.0 1
68.5 1 2
68.0 1
67.5 1
67.0 1 1
66.5 3
66.0 2 6
65.0 1
64.5 1
63.5 1 2
63.0 1 1
62.0 2
61.5 1
61.0 1
60.5 1 1
60.0 2 5
59.5 3
58.5 1
58.0 1 1
57.5 1
56.5 1
56.0 1
55.0 1 1
54.5 3
54.0 3
53.5 1
53.0 1 1
52.0 1
51.0 1
50.0 1
48.0 1 1 3
47.5 1
45.0 1
44.5 1
43.5 1
43.0 1
42.0 5
41.5 2
40.0 1
36.5 1
36.0 1
35.5 1
35.0 1
30.0 1 1
American Mathematics Competitions
2006 AMC 10 A Results for Rhode Island
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.81* 0.00 0.09 0.09 0.00 0.00 0.00
2 0.98 0.60 2.93* 0.37 2.93 2.19 0.00
3 0.00 8.65* 0.19 0.00 1.16 0.00 0.00
4 2.51 0.05 0.05 0.14 7.07* 0.19 0.00
5 0.05 0.88 1.49 7.26* 0.28 0.05 0.00
6 0.28 8.37* 0.14 0.19 0.23 0.79 0.00
7 7.86* 0.19 0.42 0.19 0.28 1.07 0.00
8 1.63 0.51 1.07 0.47 2.47* 3.86 0.00
9 1.91 1.58 5.72* 0.14 0.19 0.47 0.00
10 0.51 0.70 1.12 2.51 1.21* 3.95 0.00
11 2.47 1.67 1.30* 1.30 1.02 2.23 0.00
12 0.88 0.74 4.65* 1.53 0.28 1.91 0.00
13 0.65 1.67 0.51 4.79* 0.37 2.00 0.00
14 2.05 4.33* 0.28 1.58 0.60 1.16 0.00
15 0.98 0.60 0.74 1.63* 0.88 5.16 0.00
16 0.65 0.84 0.65 0.60* 0.98 6.28 0.00
17 2.09* 0.60 0.56 0.70 0.79 5.26 0.00
18 1.63 0.47 3.67* 0.28 0.56 3.40 0.00
19 1.12 2.37 0.98* 0.37 0.37 4.79 0.00
20 0.65 2.00 0.74 0.51 0.74* 5.35 0.00
21 1.30 0.74 0.47 1.12 1.67* 4.70 0.00
22 0.14 0.88 3.63* 3.16 0.98 1.21 0.00
23 1.16 1.40* 0.37 0.47 1.12 5.49 0.00
24 1.53 0.74* 0.51 0.33 0.70 6.19 0.00
25 2.33 1.07 1.07* 0.74 0.56 4.23 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
2006 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 2 1
149.0 124.0 99.0 1 1
148.5 123.5 98.5
148.0 123.0 1 98.0 2 1
147.5 122.5 97.5
147.0 122.0 97.0 2 1
146.5 121.5 96.5 1 1
146.0 121.0 96.0 4 2
145.5 120.5 95.5 1
145.0 120.0 95.0 1
144.5 119.5 94.5 8
144.0 119.0 94.0 1
143.5 118.5 1 93.5 1 2
143.0 118.0 93.0
142.5 117.5 92.5
142.0 117.0 1 92.0 1
141.5 116.5 91.5
141.0 116.0 91.0 3 1
140.5 115.5 90.5
140.0 115.0 1 90.0 3 1
139.5 114.5 89.5
139.0 114.0 89.0 1 2
138.5 113.5 88.5 3 3
138.0 113.0 88.0 1
137.5 112.5 87.5 2
137.0 112.0 87.0
136.5 111.5 86.5 1 3
136.0 111.0 86.0 2 2
135.5 110.5 85.5
135.0 110.0 2 85.0 2 1
134.5 109.5 84.5 2
134.0 109.0 3 84.0 3 1
133.5 108.5 83.5 3
133.0 108.0 83.0 1 2
132.5 107.5 82.5 1 2
132.0 107.0 82.0 1
131.5 106.5 4 1 81.5 2 1
131.0 106.0 81.0
130.5 105.5 2 80.5 1 2
130.0 105.0 80.0 1 1
129.5 104.5 79.5 1 2
129.0 1 104.0 3 79.0
128.5 103.5 78.5
128.0 103.0 2 1 78.0 2
127.5 102.5 77.5 1 1
127.0 102.0 4 77.0 3
126.5 1 101.5 76.5 1
126.0 101.0 2 76.0
125.5 1 100.5 1 75.5 2 2
American Mathematics Competitions
2006 AMC 12 A Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 3 2 49.5 24.5
74.0 1 49.0 24.0
73.5 48.5 23.5
73.0 1 48.0 1 23.0
72.5 47.5 22.5
72.0 2 1 47.0 22.0
71.5 1 3 46.5 21.5
71.0 1 46.0 21.0
70.5 1 45.5 20.5
70.0 45.0 20.0
69.5 2 3 44.5 19.5
69.0 1 44.0 19.0
68.5 1 1 43.5 18.5
68.0 1 1 43.0 18.0
67.5 42.5 17.5
67.0 1 1 42.0 17.0
66.5 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 1 15.0
64.5 39.5 14.5
64.0 39.0 14.0
63.5 38.5 13.5
63.0 1 38.0 13.0
62.5 37.5 12.5
62.0 1 1 37.0 12.0
61.5 36.5 11.5
61.0 1 2 36.0 11.0
60.5 1 1 35.5 10.5
60.0 1 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 33.0 8.0
57.5 32.5 7.5
57.0 1 32.0 7.0
56.5 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 27.5 2.5
52.0 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
129.0 1
126.5 1
125.5 1
123.0 1
118.5 1
117.0 1
115.0 1
112.5 1
110.0 2
109.0 1 2
106.5 3 2
105.5 1 2
104.0 1 2
103.0 2 2
102.0 1 3
101.0 1 1
100.5 1
99.5 2 1
99.0 2
98.5 1
98.0 1 2
97.0 2 1
96.5 1 1
96.0 4 2
95.5 1
95.0 1
94.5 3 5
94.0 1
93.5 3
92.0 1
91.0 1 1 2
90.0 2 2
89.0 1 1 1
88.5 5 1
88.0 1
87.5 1 1
86.5 4
86.0 4
85.0 2 1
84.5 1 1
84.0 2 2
83.5 3
83.0 3
82.5 1 2
82.0 1 1
81.5 3
80.5 2 1
80.0 1 1
79.5 2 1
78.0 2
77.5 1 1
77.0 2 1
76.5 1
75.5 1 3
75.0 1
74.5 1 3 1
74.0 1
73.0 1
72.0 2 1
71.5 4
71.0 1
70.5 1
69.5 2 3
69.0 1
68.5 2
68.0 2
67.0 2
64.5 1
63.0 1
62.0 1 1
61.0 2 1
60.5 1 1
60.0 1 1
59.0 1
57.0 1
51.5 1
51.0 1
48.0 1
40.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Rhode Island
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.95* 0.00 0.00 0.05 0.00 0.00 0.00
2 1.76 0.00 5.56* 0.05 0.48 2.14 0.00
3 0.05 9.20* 0.00 0.00 0.75 0.00 0.00
4 1.93 0.00 0.00 0.05 7.97* 0.05 0.00
5 0.16 0.53 0.53 8.56* 0.11 0.11 0.00
6 7.01* 0.16 0.59 0.27 0.21 1.76 0.00
7 0.86 6.36* 0.59 0.48 0.43 1.28 0.00
8 0.75 1.44 6.95* 0.32 0.11 0.43 0.00
9 8.61* 0.11 0.05 0.00 0.32 0.91 0.00
10 0.16 0.05 0.96 3.74 1.82* 3.26 0.00
11 1.71 1.18 1.82* 1.50 0.59 3.21 0.00
12 1.18 5.78* 0.16 1.12 0.43 1.34 0.00
13 0.80 0.00 0.00 0.05 6.58* 2.57 0.00
14 0.05 0.43 5.61* 2.51 0.32 1.07 0.00
15 3.64* 1.98 0.32 0.64 1.93 1.50 0.00
16 0.32 3.90* 0.16 0.11 0.75 4.76 0.00
17 0.64 0.75* 0.64 0.32 0.16 7.49 0.00
18 1.39 0.21 0.27 0.70 0.43* 7.01 0.00
19 0.21 0.16 0.05 0.27 0.37* 8.93 0.00
20 2.25 0.32 0.70* 0.11 0.32 6.31 0.00
21 0.05 0.00 0.43 0.05 0.27* 9.20 0.00
22 0.11 0.05 0.32 0.16* 0.11 9.25 0.00
23 0.05 0.21* 0.05 0.00 0.37 9.30 0.00
24 1.12 0.27 0.21 0.32* 0.05 8.02 0.00
25 0.05 0.00 0.32 0.16 0.11* 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
American Mathematics Competitions
2006 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 1
148.5 123.5 98.5
148.0 123.0 98.0 1
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
145.5 120.5 95.5
145.0 120.0 95.0 1
144.5 119.5 94.5 1
144.0 119.0 1 94.0 1
143.5 118.5 93.5 1
143.0 1 118.0 1 93.0 1
142.5 117.5 92.5
142.0 117.0 92.0 2
141.5 116.5 91.5 1
141.0 116.0 91.0
140.5 1 115.5 90.5 1
140.0 115.0 90.0 1 2
139.5 114.5 89.5
139.0 114.0 89.0 3
138.5 113.5 88.5 1
138.0 113.0 88.0
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 2 1
135.0 110.0 1 1 85.0
134.5 1 1 109.5 84.5
134.0 109.0 84.0
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5 1
132.0 107.0 82.0 1
131.5 106.5 81.5
131.0 106.0 81.0 1
130.5 105.5 80.5 1 1
130.0 105.0 1 80.0 1
129.5 104.5 79.5 1 1
129.0 104.0 79.0 1
128.5 103.5 78.5 1
128.0 103.0 78.0 2 1
127.5 102.5 77.5 3 1
127.0 102.0 1 77.0 2
126.5 1 101.5 1 76.5 3 1
126.0 101.0 76.0
125.5 100.5 1 75.5 2 1
American Mathematics Competitions
2006 AMC 10 B Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 25.0
74.5 2 1 49.5 1 24.5
74.0 1 49.0 1 1 24.0
73.5 48.5 1 1 23.5
73.0 2 2 48.0 1 4 23.0
72.5 2 47.5 2 22.5
72.0 3 1 47.0 1 22.0
71.5 1 46.5 1 3 21.5
71.0 1 3 46.0 21.0
70.5 2 45.5 1 3 20.5
70.0 1 3 45.0 20.0
69.5 1 44.5 19.5
69.0 44.0 1 19.0
68.5 4 43.5 1 18.5
68.0 1 2 43.0 1 18.0
67.5 2 42.5 1 17.5
67.0 1 42.0 1 17.0
66.5 2 41.5 1 16.5
66.0 3 1 41.0 1 16.0 1 1
65.5 2 2 40.5 1 15.5
65.0 1 2 40.0 2 15.0
64.5 39.5 14.5
64.0 2 1 39.0 1 14.0
63.5 1 3 38.5 1 2 13.5
63.0 1 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 1 37.0 12.0
61.5 1 2 36.5 2 11.5
61.0 1 36.0 1 11.0
60.5 4 35.5 1 10.5
60.0 1 35.0 10.0
59.5 2 2 34.5 2 1 9.5
59.0 2 34.0 9.0
58.5 1 1 33.5 1 8.5
58.0 2 33.0 8.0
57.5 2 3 32.5 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 3 3 31.0 6.0
55.5 1 30.5 1 5.5
55.0 2 3 30.0 1 2 5.0
54.5 29.5 1 4.5
54.0 2 4 29.0 4.0
53.5 1 28.5 3.5
53.0 1 2 28.0 3.0
52.5 2 27.5 2.5
52.0 2 1 27.0 1 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 2 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
143.0 1
140.5 1
134.5 2
126.5 1
119.0 1
118.0 1
110.0 2
105.0 1
102.0 1
101.5 1
100.5 1
99.5 1
99.0 1
98.0 1
97.0 1
95.0 1
94.5 1
94.0 1
93.5 1
93.0 1
92.0 1 1
91.5 1
90.5 1
90.0 1 2
89.0 3
88.5 1
87.5 2
86.5 1 1
85.5 1 2
82.5 1
82.0 1
81.0 1
80.5 2
80.0 1
79.5 2
79.0 1
78.5 1
78.0 1 2
77.5 4
77.0 1 1
76.5 1 3
75.5 3
75.0 1
74.5 3
74.0 1
73.0 1 3
72.5 2
72.0 1 3
71.5 1
71.0 1 3
70.5 2
70.0 3 1
69.5 1
68.5 2 2
68.0 3
67.5 1 1
67.0 1 1
66.5 2
66.0 2 2
65.5 2 2
65.0 3
64.0 2 1
63.5 4 1
63.0 1
62.5 1 1
62.0 1
61.5 1 2
61.0 1
60.5 1 3
60.0 1
59.5 3 1
59.0 2
58.5 2
58.0 1 1
57.5 4 1 1
57.0 1
56.5 1 1
56.0 3 3
55.5 1
55.0 1 6
54.0 3 3
53.5 1
53.0 3
52.5 1 1
52.0 2 1
51.5 2
50.5 2 1
50.0 1
49.5 1
49.0 1 1
48.5 2
48.0 2 3
47.5 1 1
47.0 1
46.5 4
45.5 2 2
44.0 1
43.5 1
43.0 1
42.5 1
42.0 1
41.5 1
41.0 1
40.5 1
40.0 1 1
39.0 1
38.5 3
38.0 2
36.5 1 1
36.0 2
35.5 1
34.5 1 2
33.5 1
30.5 1
30.0 1 2
29.5 1
27.0 1
25.5 1
16.0 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Rhode Island
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.05 0.93 4.70* 2.06 0.85 0.40 0.00
2 5.34* 0.73 0.12 0.20 0.28 3.32 0.00
3 7.98* 0.36 0.08 1.17 0.32 0.08 0.00
4 1.90 2.43 0.32 2.47* 1.70 1.17 0.00
5 0.69 4.70* 2.63 0.24 0.16 1.54 0.04
6 0.77 0.12 3.68 2.55* 0.65 2.23 0.00
7 2.19* 1.62 1.09 1.42 0.85 2.83 0.00
8 1.62 0.89* 0.32 1.54 0.45 5.18 0.00
9 0.16 8.02* 0.20 0.16 0.85 0.61 0.00
10 2.71* 0.36 1.98 0.04 2.71 2.19 0.00
11 0.49 0.65 1.86* 0.24 0.28 6.48 0.00
12 0.24 0.40 0.28 0.57 3.93* 4.57 0.00
13 0.89 0.20 2.71 0.65 2.47* 3.08 0.00
14 0.20 0.04 0.16 0.69* 0.04 8.87 0.00
15 1.01 0.57 1.74* 0.20 0.04 6.44 0.00
16 2.27 0.57 2.02 0.69 1.70* 2.75 0.00
17 3.60 1.50 1.46 2.23* 0.12 1.09 0.00
18 0.89 0.53 1.01 0.36 0.69* 6.52 0.00
19 0.20* 0.45 0.20 0.24 0.24 8.66 0.00
20 0.81 0.53 0.24 0.53 0.85* 7.00 0.04
21 0.61 0.20 1.01* 2.11 0.77 5.30 0.00
22 0.28 0.53 2.11 1.13* 0.12 5.83 0.00
23 0.28 0.65 0.24 0.49* 0.20 8.14 0.00
24 0.32 1.42* 0.85 0.20 0.16 7.04 0.00
25 0.24 2.11* 0.24 1.86 0.40 5.14 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
2006 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
149.0 124.0 99.0
148.5 123.5 98.5 5 2
148.0 123.0 98.0
147.5 122.5 97.5 1 2
147.0 122.0 97.0 2 1
146.5 121.5 96.5
146.0 121.0 96.0 5
145.5 120.5 95.5
145.0 120.0 95.0 4 3
144.5 119.5 94.5
144.0 119.0 94.0 2 3
143.5 118.5 93.5 3
143.0 118.0 93.0
142.5 117.5 92.5 4 2
142.0 117.0 92.0
141.5 116.5 91.5 3 3
141.0 116.0 1 91.0 2 1
140.5 115.5 90.5 1
140.0 115.0 1 90.0 1 1
139.5 114.5 89.5
139.0 114.0 89.0 7
138.5 113.5 88.5 1
138.0 113.0 88.0 3 1
137.5 112.5 1 87.5 3
137.0 112.0 87.0 1
136.5 111.5 86.5 2 2
136.0 111.0 86.0
135.5 110.5 85.5 2 4
135.0 110.0 85.0
134.5 109.5 84.5 1 1
134.0 109.0 1 1 84.0 2 4
133.5 108.5 83.5 1
133.0 108.0 1 83.0 3 2
132.5 107.5 82.5 2
132.0 107.0 82.0 4 2
131.5 106.5 3 81.5 1
131.0 106.0 81.0 1 1
130.5 105.5 5 80.5 1 3
130.0 105.0 80.0 1 1
129.5 104.5 3 79.5 2 3
129.0 104.0 79.0 2
128.5 103.5 78.5 1 3
128.0 103.0 3 1 78.0 1 1
127.5 102.5 77.5 2
127.0 102.0 2 3 77.0 3 2
126.5 101.5 1 76.5 1
126.0 101.0 3 1 76.0 5
125.5 100.5 1 1 75.5 1 2
American Mathematics Competitions
2006 AMC 12 B Results for Rhode Island
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 25.0
74.5 2 2 49.5 24.5
74.0 1 49.0 24.0
73.5 2 48.5 23.5
73.0 1 1 48.0 23.0
72.5 1 3 47.5 22.5
72.0 2 2 47.0 22.0
71.5 2 46.5 21.5
71.0 46.0 21.0
70.5 45.5 20.5
70.0 2 1 45.0 20.0
69.5 1 2 44.5 19.5
69.0 44.0 1 19.0
68.5 3 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5 1
67.0 1 42.0 17.0
66.5 41.5 16.5
66.0 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 39.5 14.5
64.0 3 39.0 1 14.0
63.5 1 2 38.5 13.5
63.0 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 2 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 11.0
60.5 1 35.5 1 10.5
60.0 1 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 31.0 6.0
55.5 30.5 5.5
55.0 30.0 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 2 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 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Rhode Island
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
116.0 1
115.0 1
112.5 1
109.0 1 1
108.0 1
106.5 2 1
105.5 3 2
104.5 3
103.0 2 2
102.0 4 1
101.5 1
101.0 2 3
100.5 1 1
98.5 4 3
97.5 1 2
97.0 2 1
96.0 4 1
95.0 4 3 1
94.0 3 2
93.5 2 1
92.5 2 4
91.5 4 2 1
91.0 2 1
90.5 1
90.0 1 3
89.0 3 4
88.5 1
88.0 3 2
87.5 3
87.0 1
86.5 3 2
85.5 3 3
84.5 1 2
84.0 4 2
83.5 1 1
83.0 2 4 1
82.5 2
82.0 4 2
81.5 1
81.0 1 1
80.5 4
80.0 1 1
79.5 2 3
79.0 2
78.5 4
78.0 3
77.5 1 1
77.0 3 2
76.5 1
76.0 5
75.5 2 1
75.0 3
74.5 1 3
74.0 1
73.5 1 1
73.0 1 1
72.5 2 2
72.0 2 2
71.5 2
70.0 3
69.5 3
68.5 3
67.0 1
66.5 1
64.0 1 2
63.5 1 2
62.5 1 1
62.0 2
61.5 1
60.5 1
60.0 1
59.5 1
58.5 1
58.0 1
54.5 1
54.0 1
53.5 2
51.5 1
44.0 1
39.0 1
38.0 1
35.5 1
17.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Rhode Island
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.58 0.12 7.80* 1.00 0.37 0.12 0.00
2 7.97* 0.46 0.00 0.12 0.29 1.16 0.00
3 8.13* 0.17 0.04 1.00 0.58 0.08 0.00
4 9.63* 0.12 0.00 0.17 0.04 0.04 0.00
5 7.14* 0.50 0.33 0.00 0.21 1.83 0.00
6 0.21 8.76* 0.08 0.08 0.50 0.37 0.00
7 0.46 8.51* 0.21 0.33 0.08 0.41 0.00
8 0.21 0.12 0.41 0.46 6.76* 2.03 0.00
9 0.25 5.02* 0.25 0.50 0.37 3.57 0.04
10 2.95* 0.33 1.24 0.04 3.11 2.32 0.00
11 0.79 0.08 1.29 1.00 4.11* 2.74 0.00
12 0.87 0.50 0.37 0.33* 0.37 7.55 0.00
13 0.79 0.21 2.12* 0.12 0.29 6.47 0.00
14 0.12 0.33 2.07 1.24* 0.17 6.06 0.00
15 0.21 1.49* 0.87 0.12 0.08 7.22 0.00
16 0.17 0.04 0.17* 0.12 0.12 9.38 0.00
17 0.29 0.33 1.08* 1.08 0.54 6.68 0.00
18 0.54 0.37* 1.04 0.29 0.25 7.51 0.00
19 0.08 2.03* 0.17 1.29 0.12 6.31 0.00
20 0.17 0.12 0.17* 0.08 0.46 9.00 0.00
21 0.08 0.04 0.04* 0.04 0.04 9.75 0.00
22 0.00 0.25* 0.08 0.00 0.08 9.59 0.00
23 0.17 0.12 0.37 0.25 0.04* 9.05 0.00
24 0.04 0.00 0.04* 0.04 0.04 9.83 0.00
25 0.00 0.04* 0.17 0.33 0.08 9.38 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column