American Mathematics Competitions
2006 AMC 10 A Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 509
Number of unofficial participants: 0
Average score of participants: 79.1
Average score for female students is: 76.7 ( 251 Students)
Average score for male students is: 81.8 ( 233 Students)
Average score for unspecified gender is 77.8 ( 25 Students)
Average score for grade 10 is: 78.0 ( 323 Students)
Average score for grade 9 is: 79.9 ( 163 Students)
Average score for grade 8 and below is: 95.1 ( 14 Students)
Average score with unknown grade: 79.7 ( 9 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 12
Average school winning score 107.08
American Mathematics Competitions
2006 AMC 12 A Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 763
Number of unofficial participants: 0
Average score of participants: 83.2
Average score for female students is: 81.1 ( 380 Students)
Average score for male students is: 85.5 ( 359 Students)
Average score for unspecified gender is 82.7 ( 24 Students)
Average score for grade 12 is: 86.4 ( 366 Students)
Average score for grade 11 is: 80.2 ( 362 Students)
Average score for grade 10 is: 80.5 ( 22 Students)
Average score for grade 9 is: 83.8 ( 5 Students)
Average score with unknown grade: 79.3 ( 8 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 147
Number of schools returning results 13
Average school winning score 111.35
Average school team score 318.77
American Mathematics Competitions
2006 AMC 10 B Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 272
Number of unofficial participants: 0
Average score of participants: 74.6
Average score for female students is: 69.7 ( 108 Students)
Average score for male students is: 81.5 ( 82 Students)
Average score for unspecified gender is 74.1 ( 82 Students)
Average score for grade 10 is: 77.7 ( 135 Students)
Average score for grade 9 is: 67.1 ( 54 Students)
Average score for grade 8 and below is: 74.3 ( 8 Students)
Average score with unknown grade: 74.5 ( 75 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 12
Average school winning score 96.92
American Mathematics Competitions
2006 AMC 12 B Results for Hawaii
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 322
Number of unofficial participants: 0
Average score of participants: 88.8
Average score for female students is: 84.6 ( 138 Students)
Average score for male students is: 92.5 ( 169 Students)
Average score for unspecified gender is 86.2 ( 15 Students)
Average score for grade 13 is: 118.5 ( 1 Student)
Average score for grade 12 is: 87.7 ( 170 Students)
Average score for grade 11 is: 90.5 ( 139 Students)
Average score for grade 10 is: 73.5 ( 7 Students)
Average score for grade 9 is: 110.0 ( 2 Students)
Average score with unknown grade: 84.8 ( 3 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 107
Number of schools returning results 13
Average school winning score 102.62
Average school team score 285.62
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
397.0 1 1
396.0 1 2
365.5 1 3
340.0 1 1 4
337.5 1 6
335.5 1 7
326.0 1 8
315.0 1 9
313.0 1 10
312.5 1 11
310.5 1 12
309.0 1 13
300.0 1 14
299.0 1 15
295.5 1 16
287.0 1 17
286.5 1 18
275.0 1 19
271.0 1 20
266.0 1 21
265.5 1 22
256.0 1 23
251.0 1 24
245.0 1 25
162.0 1 26
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
139.5 1
136.0 1 1
134.5 1
132.5 1
131.0 1 1
130.0 1 2
129.0 1 1
127.5 1
126.5 1 1
126.0 1
123.0 1 1
122.0 5
120.5 1 2 2
120.0 1
119.5 1 1 2
118.5 4 3
117.0 1 2
116.0 2 5 1 2
115.0 7 2
114.5 1 1 2
113.5 2 1
113.0 1
112.5 17 3
112.0 1
111.5 2 5
111.0 1
110.0 7 1
109.5 2
109.0 11 5 1 1
108.5 1 2
108.0 4 10 1
107.5 2 1 2 2
106.5 16 5 2 2
105.5 7 8 5
105.0 1 3 2 1
104.5 2 8 1
104.0 5 4 6 2
103.5 1
103.0 15 4 2 3
102.5 1 1
102.0 12 17 3 2
101.5 2 1 2 2
101.0 5 12 1
100.5 16 1 5 2
100.0 1
99.5 18 3 2 3
99.0 4 5 1
98.5 5 11 3
98.0 8 2 3 1
97.5 2 2
97.0 15 11 4
96.0 11 2 6 3
95.5 4 2 3
95.0 7 9 1 1
94.5 16 2 10 3
94.0 1
93.5 16 9 6 3
93.0 1 5 1
92.5 5 3 5
92.0 7 1 3
91.5 6 7
91.0 13 1 4 3
90.5 2 3
90.0 19 3 10 3
89.5 4 2 4
89.0 3 11 3 2
88.5 10 3 5
88.0 6 4 3
87.5 16 3 7 2
87.0 1 3 1
86.5 6 7 3 1
86.0 5 1 6 3
85.5 6 5 8
85.0 7 6 3 3
84.5 2 1 4
84.0 15 1 9 5
83.5 7 1 6 1
83.0 7 11 7 3
82.5 2 2 11
82.0 4 3 3
81.5 14 1 8 3
81.0 1 4 3
80.5 10 2 7 2
80.0 2 1 11 4
79.5 5 3 6 2
79.0 9 1 11 2
78.5 6 1 2
78.0 11 7 8 5
77.5 4 4 3
77.0 14 8 3 1
76.5 7 5 6 3
76.0 14 4 5 4
75.5 6 6 1
75.0 3 1 6 2
74.5 12 7 8 4
74.0 5 2 3 4
73.5 5 2 6 4
73.0 6 1 7 2
72.5 7 2 4 3
72.0 8 2 8 3
71.5 6 5 3
71.0 7 4 2
70.5 9 1 8 2
70.0 8 4 2 2
69.5 3 6 3
69.0 10 1 2 2
68.5 8 2 3 2
68.0 5 1 10 6
67.5 8 1 5 3
67.0 12 2 6 2
66.5 4 6
66.0 6 6 3
65.5 3 1 8 5
65.0 4 2 9 4
64.5 6 4
64.0 4 2 5 2
63.5 7 5 4
63.0 3 1 2
62.5 6 4 8
62.0 1 1 1 3
61.5 5 5 4
61.0 4 2 4
60.5 1 1 2 2
60.0 5 1 2 6
59.5 7 1 2
59.0 2 1 3 1
58.5 4 2 8
58.0 1 1
57.5 1 2 2
57.0 1 4 1
56.5 1 3 2 2
56.0 1 2 2
55.5 1 1 1
55.0 1 2 2
54.5 1 3
54.0 8 2 1 1
53.5 1 1 3
53.0 2 1 1
52.5 1 2
52.0 3
51.5 1 2
51.0 1 1
50.5 2 1 2
50.0 2 1
49.5 1 1
49.0 1 3
48.5 1
48.0 6 2 1 3
47.5 1
47.0 1 1 1 2
46.5 1 2 1
46.0 1
45.5 1 1
45.0 3 3
44.5 3 1
43.5 2 1 1 3
43.0 1 2
42.0 4 1 1
41.5 1 2
41.0 1 2
40.5 1
40.0 1
39.0 1 1
38.5 1 1
38.0 1 1 1
37.5 1 1
37.0 1
36.5 1 1
36.0 5 2 1
35.5 1 1
34.5 1
34.0 1 1
33.0 1
32.5 1 1
32.0 1 1
31.5 1
30.0 1 1 1
29.5 1
24.0 1
20.5 1
19.5 1
12.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 1 1
149.0 124.0 99.0 3 1
148.5 123.5 98.5 1 2
148.0 123.0 98.0 3
147.5 122.5 97.5 2
147.0 122.0 97.0 5 6
146.5 121.5 96.5
146.0 121.0 96.0 6
145.5 120.5 2 95.5 2 1
145.0 120.0 1 95.0 1
144.5 119.5 1 1 94.5 7 2
144.0 119.0 94.0 1
143.5 118.5 93.5 2 4
143.0 118.0 93.0 2 3
142.5 117.5 92.5 1 4
142.0 117.0 92.0 1 2
141.5 116.5 91.5
141.0 116.0 1 91.0 2 2
140.5 115.5 90.5 3
140.0 115.0 90.0 5 4
139.5 114.5 1 89.5 1 1
139.0 114.0 89.0 3
138.5 113.5 2 88.5 3 2
138.0 113.0 1 88.0 1 2
137.5 112.5 87.5 6
137.0 112.0 87.0 1 2
136.5 111.5 86.5 1 2
136.0 111.0 1 86.0 4 2
135.5 110.5 85.5 2 6
135.0 110.0 85.0 1 2
134.5 1 109.5 2 84.5 4
134.0 109.0 1 84.0 7 2
133.5 108.5 1 83.5 5 1
133.0 108.0 1 83.0 1 6
132.5 1 107.5 2 82.5 6 5
132.0 107.0 82.0 1 2
131.5 106.5 2 81.5 2 5
131.0 106.0 81.0 2 1
130.5 105.5 2 2 80.5 3 3
130.0 105.0 1 1 80.0 7 4
129.5 104.5 1 79.5 1 4
129.0 104.0 4 1 79.0 7 4
128.5 103.5 78.5 1 1
128.0 103.0 2 78.0 8
127.5 102.5 1 77.5 3 1
127.0 102.0 2 1 77.0 2 1
126.5 1 101.5 1 1 76.5 2 4
126.0 1 101.0 1 76.0 2 3
125.5 100.5 3 1 75.5 6
American Mathematics Competitions
2006 AMC 10 A Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 2 50.0 2 25.0
74.5 2 5 49.5 24.5
74.0 1 2 49.0 24.0
73.5 3 2 48.5 23.5
73.0 5 2 48.0 1 23.0
72.5 3 1 47.5 22.5
72.0 1 5 47.0 1 22.0
71.5 3 2 46.5 1 21.5
71.0 2 46.0 21.0
70.5 3 4 45.5 20.5
70.0 2 45.0 1 2 20.0
69.5 3 3 44.5 1 19.5
69.0 1 1 44.0 19.0
68.5 2 1 43.5 1 18.5
68.0 2 7 43.0 18.0
67.5 2 3 42.5 17.5
67.0 2 4 42.0 1 17.0
66.5 1 5 41.5 1 16.5
66.0 4 2 41.0 16.0
65.5 5 3 40.5 1 15.5
65.0 8 40.0 15.0
64.5 4 39.5 14.5
64.0 3 2 39.0 1 14.0
63.5 1 4 38.5 1 13.5
63.0 1 1 38.0 1 13.0
62.5 1 2 37.5 1 12.5
62.0 37.0 12.0
61.5 1 4 36.5 1 11.5
61.0 2 36.0 1 1 11.0
60.5 1 1 35.5 1 10.5
60.0 1 35.0 10.0
59.5 1 1 34.5 9.5
59.0 3 34.0 1 9.0
58.5 2 33.5 8.5
58.0 33.0 8.0
57.5 1 1 32.5 7.5
57.0 1 3 32.0 7.0
56.5 2 31.5 6.5
56.0 2 31.0 6.0
55.5 1 30.5 5.5
55.0 1 1 30.0 1 5.0
54.5 1 29.5 4.5
54.0 1 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 2 27.5 2.5
52.0 3 27.0 2.0
51.5 1 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 10 A Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
132.5 1
126.5 1
126.0 1
120.5 2
120.0 1
119.5 2
116.0 1
114.5 1
113.5 2
113.0 1
111.0 1
109.5 2
109.0 1
108.5 1
108.0 1
107.5 1 1
106.5 1 1
105.5 2 3
105.0 1 1
104.5 1
104.0 1 1 3 1
103.0 1 1
102.5 1
102.0 1 2
101.5 2
101.0 1
100.5 3 2
100.0 1
99.5 2
99.0 2 3
98.5 1 2
98.0 2 1
97.5 2
97.0 1 2 5 3
96.0 1 2 3
95.5 1 1 1
95.0 1
94.5 6 4
94.0 1
93.5 3 3
93.0 1 1 3
92.5 1 4
92.0 3
91.0 1 3
90.5 2 1
90.0 1 3 6
89.5 2
89.0 3
88.5 1 4
88.0 2 1
87.5 2 4 1
87.0 1 2
86.5 2 1
86.0 4 2
85.5 5 3
85.0 1 2
84.5 3 1
84.0 3 6
83.5 1 5
83.0 1 5 1
82.5 4 7
82.0 1 2
81.5 4 4
81.0 3
80.5 1 4 2
80.0 3 8
79.5 2 3 1
79.0 1 1 3 6
78.5 1 1
78.0 2 6
77.5 2 2
77.0 3
76.5 3 3
76.0 5
75.5 1 5
75.0 1 4 1
74.5 2 6
74.0 1 2
73.5 3 3
73.0 1 6
72.5 3 1
72.0 2 5 1
71.5 1 4
71.0 2 2
70.5 2 6
70.0 1 1
69.5 1 5
69.0 1 1
68.5 1 2
68.0 2 8
67.5 2 3
67.0 3 3
66.5 2 4
66.0 2 4
65.5 2 6
65.0 2 7
64.5 2 2
64.0 1 4
63.5 3 2
63.0 2
62.5 4
62.0 1
61.5 1 4
61.0 2
60.5 2
60.0 2
59.5 2
59.0 2 1
58.5 2
57.5 1 1
57.0 1 1 2
56.5 2
56.0 2
55.5 1
55.0 1 1
54.5 1
54.0 1
53.5 1
53.0 1
52.5 2
52.0 3
51.5 2
51.0 1
50.5 1
50.0 2
48.0 1
47.0 1
46.5 1
45.0 3
44.5 1
43.5 1
42.0 1
41.5 1
40.5 1
39.0 1
38.5 1
38.0 1
37.5 1
36.5 1
36.0 1 1
35.5 1
34.0 1
30.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Hawaii
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 9.94* 0.00 0.02 0.04 0.00 0.00 0.00
2 1.96 0.18 3.79* 0.26 1.45 2.36 0.00
3 0.10 8.53* 0.10 0.02 1.12 0.14 0.00
4 2.26 0.24 0.08 0.12 6.84* 0.47 0.00
5 0.24 0.90 1.14 7.17* 0.26 0.29 0.00
6 0.08 8.57* 0.28 0.06 0.04 0.98 0.00
7 7.68* 0.29 0.39 0.28 0.20 1.16 0.00
8 1.30 0.55 0.33 0.14 2.57* 5.11 0.00
9 1.55 1.43 5.32* 0.41 0.37 0.90 0.00
10 0.31 0.18 0.92 3.34 0.79* 4.46 0.00
11 1.18 1.26 1.77* 1.30 0.92 3.58 0.00
12 0.71 0.43 5.01* 1.14 0.28 2.44 0.00
13 0.28 1.10 0.22 5.58* 0.14 2.69 0.00
14 1.77 4.28* 0.24 1.04 0.47 2.20 0.00
15 0.98 0.43 0.37 1.16* 0.51 6.54 0.00
16 0.18 0.26 0.39 0.33* 0.79 8.06 0.00
17 2.12* 0.41 0.26 0.61 0.33 6.27 0.00
18 1.91 0.20 2.63* 0.35 0.20 4.72 0.00
19 0.41 1.65 0.79* 0.20 0.26 6.70 0.00
20 0.37 1.02 0.37 0.28 0.43* 7.52 0.00
21 0.96 0.88 0.35 0.63 0.88* 6.29 0.00
22 0.10 0.77 3.50* 3.63 0.92 1.08 0.00
23 0.41 2.04* 0.22 0.22 0.59 6.52 0.00
24 0.69 0.39* 0.26 0.43 0.18 8.06 0.00
25 2.63 0.49 0.45* 0.45 0.24 5.74 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 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 6 11
149.0 124.0 99.0 3 1
148.5 123.5 98.5 4 1
148.0 123.0 98.0 7 1
147.5 122.5 97.5 1
147.0 122.0 3 2 97.0 10 5
146.5 121.5 96.5
146.0 121.0 96.0 4 7
145.5 120.5 95.5 2 2
145.0 120.0 95.0 5 1
144.5 119.5 1 94.5 6 8
144.0 119.0 94.0
143.5 118.5 3 1 93.5 11 5
143.0 118.0 93.0 1
142.5 117.5 92.5 1 4
142.0 117.0 92.0 2 5
141.5 116.5 91.5 5
141.0 116.0 2 91.0 6 6
140.5 115.5 90.5 2
140.0 115.0 5 2 90.0 6 13
139.5 114.5 89.5 1 3
139.0 114.0 89.0 1 2
138.5 113.5 88.5 6 4
138.0 113.0 88.0 2 4
137.5 112.5 9 8 87.5 4 11
137.0 112.0 87.0 1
136.5 111.5 1 1 86.5 1 5
136.0 1 111.0 86.0 1 4
135.5 110.5 85.5 2 4
135.0 110.0 3 4 85.0 3 4
134.5 109.5 84.5 1 1
134.0 109.0 7 4 84.0 9 4
133.5 108.5 83.5 2 5
133.0 108.0 2 2 83.0 4 3
132.5 107.5 1 1 82.5 2
132.0 107.0 82.0 1 3
131.5 106.5 10 5 81.5 6 7
131.0 1 106.0 81.0 1
130.5 105.5 6 1 80.5 5 5
130.0 1 105.0 1 80.0 1 1
129.5 104.5 2 79.5 2 3
129.0 104.0 4 79.0 4 5
128.5 103.5 78.5 1 5
128.0 103.0 8 6 78.0 4 5
127.5 102.5 77.5 3 1
127.0 102.0 10 2 77.0 5 9
126.5 1 101.5 2 76.5 5 2
126.0 101.0 1 4 76.0 8 6
125.5 100.5 8 7 75.5 2 4
American Mathematics Competitions
2006 AMC 12 A Results for Hawaii
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 5 7 49.5 24.5
74.0 2 2 49.0 1 24.0
73.5 3 2 48.5 23.5
73.0 3 3 48.0 5 1 23.0
72.5 4 3 47.5 22.5
72.0 3 5 47.0 1 22.0
71.5 2 4 46.5 1 21.5
71.0 3 4 46.0 1 21.0
70.5 2 7 45.5 1 20.5
70.0 3 3 45.0 1 1 20.0
69.5 3 44.5 2 1 19.5
69.0 2 7 44.0 19.0
68.5 4 4 43.5 1 1 18.5
68.0 3 2 43.0 1 18.0
67.5 4 4 42.5 17.5
67.0 6 6 42.0 1 3 17.0
66.5 1 3 41.5 16.5
66.0 1 5 41.0 16.0
65.5 2 40.5 15.5
65.0 4 40.0 1 15.0
64.5 3 3 39.5 14.5
64.0 2 2 39.0 14.0
63.5 4 3 38.5 13.5
63.0 1 2 38.0 1 13.0
62.5 6 37.5 12.5
62.0 1 37.0 12.0
61.5 3 2 36.5 11.5
61.0 3 1 36.0 2 3 11.0
60.5 1 35.5 1 10.5
60.0 3 2 35.0 10.0
59.5 4 3 34.5 9.5
59.0 1 1 34.0 1 9.0
58.5 1 3 33.5 8.5
58.0 33.0 1 8.0
57.5 1 32.5 1 7.5
57.0 1 32.0 7.0
56.5 1 31.5 1 6.5
56.0 1 31.0 6.0
55.5 1 30.5 5.5
55.0 30.0 1 5.0
54.5 29.5 4.5
54.0 1 7 29.0 4.0
53.5 1 28.5 3.5
53.0 1 1 28.0 3.0
52.5 1 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 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
131.0 1
130.0 1
126.5 1
122.0 1 4
119.5 1
118.5 1 3
116.0 2
115.0 2 5
112.5 11 6
111.5 1 1
110.0 3 4
109.0 6 5
108.0 2 2
107.5 2
106.5 5 11
105.5 3 4
105.0 1
104.5 1 1
104.0 2 3
103.0 1 5 9
102.0 4 8
101.5 1 1
101.0 3 2
100.5 9 7
99.5 1 9 8
99.0 2 2
98.5 3 2
98.0 4 4
97.5 1 1
97.0 6 9
96.0 3 8
95.5 3 1
95.0 1 6
94.5 1 3 11 1
93.5 1 7 8
93.0 1
92.5 3 2
92.0 2 5
91.5 1 2 3
91.0 1 5 6 1
90.5 2
90.0 2 11 6
89.5 1 1 2
89.0 3
88.5 5 5
88.0 1 5
87.5 9 6 1
87.0 1
86.5 2 4
86.0 4 1
85.5 3 3
85.0 4 3
84.5 1 1
84.0 6 9
83.5 1 2 4
83.0 4 2 1
82.5 1 1
82.0 2 2
81.5 1 8 5
81.0 1
80.5 5 5
80.0 2
79.5 3 2
79.0 4 5
78.5 4 2
78.0 6 4 1
77.5 3 1
77.0 6 8
76.5 1 6
76.0 1 1 6 6
75.5 5 1
75.0 2 1
74.5 7 5
74.0 2 3
73.5 1 1 3
73.0 4 2
72.5 2 2 2 1
72.0 6 2
71.5 3 3
71.0 4 3
70.5 1 4 4
70.0 1 3 4
69.5 2 1
69.0 2 6 2
68.5 6 2
68.0 3 2
67.5 3 4 1
67.0 1 3 8
66.5 2 1 1
66.0 2 4
65.5 2 1
65.0 2 2
64.5 3 3
64.0 2 2
63.5 4 3
63.0 1 2
62.5 3 3
62.0 1
61.5 3 2
61.0 3 1
60.5 1
60.0 3 1 1
59.5 5 2
59.0 1 1
58.5 3 1
57.5 1
57.0 1
56.5 1
56.0 1
55.5 1
54.0 6 2
53.5 1
53.0 1 1
52.5 1
51.5 1
51.0 1
50.5 1 1
49.0 1
48.0 4 2
47.0 1
46.5 1
46.0 1
45.5 1
45.0 1 2
44.5 1 2
43.5 2
43.0 1
42.0 3 1
40.0 1
38.0 1
36.0 4 1
35.5 1
34.0 1
33.0 1
32.5 1
31.5 1
30.0 1
20.5 1
American Mathematics Competitions
2006 AMC 12 A Results for Hawaii
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 9.92* 0.00 0.01 0.03 0.01 0.03 0.00
2 1.26 0.21 5.35* 0.18 1.05 1.95 0.00
3 0.05 8.40* 0.04 0.10 1.35 0.05 0.00
4 2.28 0.12 0.08 0.17 6.59* 0.76 0.00
5 0.20 1.01 1.09 7.23* 0.10 0.37 0.00
6 7.34* 0.17 0.30 0.20 0.29 1.70 0.00
7 0.72 5.22* 0.89 0.73 0.41 2.03 0.00
8 0.77 1.25 6.34* 0.37 0.33 0.94 0.00
9 8.07* 0.29 0.12 0.05 0.24 1.23 0.00
10 0.39 0.29 0.64 3.15 1.94* 3.59 0.00
11 1.47 1.04 2.29* 0.98 0.85 3.37 0.00
12 1.31 4.93* 0.29 0.59 0.45 2.44 0.00
13 0.58 0.16 0.20 0.10 5.28* 3.68 0.00
14 0.07 0.47 4.48* 2.58 0.50 1.90 0.00
15 3.68* 1.32 0.48 0.68 1.02 2.80 0.00
16 0.38 4.08* 0.21 0.21 0.54 4.59 0.00
17 0.37 0.50* 0.58 0.28 0.13 8.15 0.00
18 0.94 0.17 0.37 0.81 0.47* 7.23 0.00
19 0.13 0.21 0.18 0.17 0.26* 9.04 0.00
20 1.34 0.46 0.45* 0.35 0.13 7.27 0.00
21 0.01 0.10 0.43 0.24 0.21* 9.00 0.00
22 0.21 0.14 0.14 0.17* 0.05 9.28 0.00
23 0.13 0.12* 0.12 0.13 0.14 9.36 0.00
24 1.00 0.14 0.18 0.14* 0.20 8.34 0.00
25 0.21 0.24 0.16 0.16 0.12* 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
2006 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 1 2
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 2 1
146.5 121.5 96.5
146.0 121.0 96.0 1 1
145.5 120.5 1 1 95.5
145.0 120.0 95.0 1
144.5 119.5 94.5 3
144.0 119.0 94.0
143.5 118.5 93.5 1 2
143.0 1 118.0 93.0 1
142.5 117.5 92.5
142.0 117.0 1 1 92.0
141.5 116.5 91.5
141.0 116.0 2 91.0 2
140.5 115.5 90.5
140.0 115.0 90.0 1
139.5 1 114.5 1 1 89.5 1 2
139.0 114.0 89.0 1 1
138.5 113.5 1 88.5
138.0 113.0 88.0
137.5 112.5 87.5 1
137.0 112.0 1 87.0 1
136.5 111.5 86.5
136.0 111.0 86.0 2 1
135.5 110.5 85.5
135.0 110.0 1 85.0 1
134.5 109.5 84.5
134.0 109.0 1 84.0 3
133.5 108.5 1 83.5 1
133.0 108.0 83.0 2
132.5 107.5 2 82.5
132.0 107.0 82.0
131.5 106.5 1 81.5 1
131.0 1 106.0 81.0
130.5 105.5 80.5
130.0 105.0 1 80.0 2
129.5 104.5 79.5 1
129.0 104.0 1 1 79.0 1 1
128.5 103.5 1 78.5
128.0 103.0 3 78.0 3
127.5 102.5 1 77.5
127.0 102.0 1 1 77.0
126.5 101.5 2 76.5 1
126.0 101.0 76.0 1
125.5 100.5 1 75.5
American Mathematics Competitions
2006 AMC 10 B Results for Hawaii
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 3 49.5 1 24.5
74.0 1 1 49.0 2 1 24.0
73.5 3 48.5 1 23.5
73.0 48.0 3 23.0
72.5 1 2 47.5 22.5
72.0 1 1 47.0 2 22.0
71.5 2 46.5 21.5
71.0 1 46.0 21.0
70.5 2 45.5 1 20.5
70.0 45.0 20.0
69.5 1 44.5 19.5 1
69.0 1 44.0 19.0
68.5 1 43.5 2 18.5
68.0 1 3 43.0 2 18.0
67.5 1 2 42.5 17.5
67.0 1 42.0 17.0
66.5 41.5 1 16.5
66.0 2 41.0 1 1 16.0
65.5 3 1 40.5 15.5
65.0 1 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 2 38.5 1 13.5
63.0 38.0 1 13.0
62.5 4 2 37.5 12.5
62.0 37.0 1 12.0
61.5 2 36.5 1 11.5
61.0 1 3 36.0 1 11.0
60.5 1 1 35.5 10.5
60.0 1 4 35.0 10.0
59.5 34.5 9.5
59.0 1 34.0 9.0
58.5 1 4 33.5 8.5
58.0 1 33.0 8.0
57.5 1 32.5 1 7.5
57.0 1 32.0 1 7.0
56.5 1 1 31.5 6.5
56.0 31.0 6.0
55.5 1 30.5 5.5
55.0 1 1 30.0 1 5.0
54.5 1 1 29.5 1 4.5
54.0 1 29.0 4.0
53.5 1 1 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 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
143.0 1
139.5 1
131.0 1
129.0 1
123.0 1
120.5 1 1
117.0 1 1
116.0 2
114.5 1 1
113.5 1
112.0 1
110.0 1
109.0 1
108.5 1 1
107.5 2
106.5 1 1
105.0 1
104.0 1 1
103.5 1
103.0 3
102.5 1
102.0 2
101.5 2
100.5 1 1
99.5 2 1
99.0 1
98.0 1
97.0 3 1
96.0 2 1
95.0 1
94.5 3
93.5 3
93.0 1
91.0 2 1
90.0 1 2
89.5 3 1
89.0 1 1
87.5 1 1
87.0 1
86.5 1
86.0 3
85.0 1 2
84.0 2 3
83.5 1
83.0 1 1 1
81.5 1 2
80.5 1 1
80.0 1 2 1
79.5 1 1
79.0 1 1
78.0 3 2
77.5 3
77.0 1
76.5 1 2
76.0 1 3
75.5 1
75.0 1 1
74.5 1 2 1
74.0 1 1 2
73.5 1 2 1
73.0 1 1
72.5 1 2
72.0 1 1 1
71.5 1 1 1
71.0 1 1
70.5 2
70.0 2
69.5 1 2
69.0 1 1
68.5 1 1
68.0 2 2 2
67.5 3
67.0 1 1
66.0 2 1
65.5 1 2 2
65.0 1 3
64.0 1 1
63.5 1 2 1
62.5 3 3 2
62.0 3
61.5 1 1 2
61.0 1 3
60.5 1 1
60.0 3 2 1
59.0 1
58.5 3 2 3
58.0 1
57.5 1 1
57.0 1
56.5 2
55.5 1
55.0 1 1
54.5 2 1
54.0 1
53.5 2 1
50.5 1 1
50.0 1
49.5 1
49.0 1 2
48.5 1
48.0 3
47.5 1
47.0 1 1
45.5 1
43.5 2 1
43.0 2
41.5 2
41.0 2
38.5 1
38.0 1
37.5 1
37.0 1
36.5 1
36.0 1
32.5 1
32.0 1
30.0 1
29.5 1
19.5 1
American Mathematics Competitions
2006 AMC 10 B Results for Hawaii
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 0.44 0.63 6.58* 1.58 0.51 0.26 0.00
2 7.50* 0.18 0.04 0.18 0.18 1.91 0.00
3 8.46* 0.11 0.00 1.03 0.22 0.18 0.00
4 1.21 1.36 0.18 4.41* 1.91 0.92 0.00
5 0.51 5.63* 1.91 0.40 0.22 1.32 0.00
6 0.15 0.22 2.68 5.26* 0.40 1.29 0.00
7 2.10* 1.91 1.21 0.99 0.74 3.05 0.00
8 1.95 1.21* 0.48 1.84 0.96 3.57 0.00
9 0.00 8.42* 0.07 0.11 0.59 0.81 0.00
10 3.42* 0.55 1.03 0.18 2.54 2.28 0.00
11 0.40 0.63 2.39* 0.18 0.48 5.92 0.00
12 0.11 0.22 0.18 0.33 5.18* 3.97 0.00
13 1.03 0.15 1.88 1.07 3.13* 2.76 0.00
14 0.18 0.11 0.26 0.92* 0.04 8.49 0.00
15 0.66 0.55 2.21* 0.15 0.40 5.99 0.04
16 2.54 0.70 1.54 0.99 1.54* 2.68 0.00
17 2.06 1.36 1.76 2.98* 0.00 1.84 0.00
18 0.48 0.11 0.92 0.51 2.17* 5.81 0.00
19 0.33* 0.51 0.18 0.11 0.33 8.53 0.00
20 0.44 0.44 0.44 0.59 0.59* 7.50 0.00
21 0.70 0.18 1.10* 1.51 0.63 5.88 0.00
22 0.22 0.37 1.91 1.18* 0.00 6.32 0.00
23 0.15 0.44 0.29 0.33* 0.15 8.64 0.00
24 0.07 3.01* 0.81 0.18 0.26 5.66 0.00
25 0.26 2.35* 0.29 1.65 0.37 5.07 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 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
149.0 124.0 99.0
148.5 123.5 98.5 7 4
148.0 123.0 1 98.0 1 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 2
145.5 120.5 1 95.5 1 1
145.0 120.0 95.0 4 5
144.5 119.5 1 94.5 2
144.0 119.0 94.0
143.5 118.5 1 2 93.5 7 2
143.0 118.0 93.0
142.5 117.5 92.5 1 2
142.0 117.0 1 92.0 1
141.5 116.5 91.5 5 2
141.0 116.0 3 2 91.0 1
140.5 115.5 90.5
140.0 115.0 2 90.0 3
139.5 114.5 1 89.5
139.0 114.0 89.0 5 6
138.5 113.5 88.5 1 1
138.0 113.0 88.0 2 2
137.5 112.5 2 1 87.5 2 1
137.0 112.0 87.0
136.5 111.5 4 1 86.5 1 6
136.0 1 111.0 86.0 1
135.5 110.5 85.5 1 3
135.0 110.0 85.0 4 2
134.5 109.5 84.5 1
134.0 109.0 5 84.0 1
133.5 108.5 83.5 1
133.0 108.0 4 6 83.0 5 5
132.5 107.5 1 82.5 1
132.0 107.0 82.0 1
131.5 106.5 4 1 81.5 1
131.0 106.0 81.0 3 1
130.5 105.5 2 5 80.5 2
130.0 2 105.0 2 1 80.0 1
129.5 104.5 7 1 79.5 3
129.0 1 104.0 2 1 79.0 1
128.5 103.5 78.5 1
128.0 103.0 3 1 78.0 5 2
127.5 1 102.5 77.5
127.0 102.0 11 4 77.0 5 3
126.5 101.5 1 76.5 3 2
126.0 101.0 5 6 76.0 1 3
125.5 100.5 1 75.5
American Mathematics Competitions
2006 AMC 12 B Results for Hawaii
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 25.0
74.5 2 4 49.5 1 24.5
74.0 2 49.0 24.0 1
73.5 1 1 48.5 23.5
73.0 1 48.0 2 23.0
72.5 1 1 47.5 22.5
72.0 2 47.0 1 22.0
71.5 46.5 1 1 21.5
71.0 46.0 21.0
70.5 1 45.5 20.5
70.0 1 2 45.0 20.0
69.5 44.5 19.5
69.0 1 44.0 19.0
68.5 1 1 43.5 1 18.5
68.0 43.0 18.0
67.5 1 42.5 17.5
67.0 1 1 42.0 1 17.0
66.5 41.5 16.5
66.0 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 2 39.0 1 14.0
63.5 38.5 13.5
63.0 38.0 13.0
62.5 37.5 12.5
62.0 1 37.0 12.0 1
61.5 36.5 11.5
61.0 36.0 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 1 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 1 7.0
56.5 1 2 31.5 6.5
56.0 1 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 2 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 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 Hawaii
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
136.0 1
130.0 2
129.0 1
127.5 1
123.0 1
120.5 1
119.5 1
118.5 2 1
117.0 1
116.0 1 1 3
115.0 2
114.5 1
112.5 2 1
111.5 1 4
109.0 2 3
108.0 6 4
107.5 1
106.5 1 4
105.5 6 2
105.0 3
104.5 4 4
104.0 1 2 1
103.0 2 2
102.0 9 8
101.5 1
101.0 4 8
100.5 1
99.5 2 1
98.5 8 3
98.0 1 1
96.0 1 1
95.5 1 1
95.0 7 2
94.5 1 1
93.5 4 5
92.5 3
92.0 1
91.5 4 3
91.0 1
90.0 2 1
89.0 6 5
88.5 2 1
88.0 2 2
87.5 2 1
86.5 2 5
86.0 1
85.5 1 4
85.0 3 3
84.5 1
84.0 1
83.5 1
83.0 5 5 1
82.5 1 1
82.0 1 2
81.5 1
81.0 2 2
80.5 1 1
80.0 1
79.5 1 2
79.0 1
78.5 1
78.0 7
77.0 3 5
76.5 1 1 3
76.0 2 2
75.0 1
74.5 4 3
74.0 1 1
73.5 1 1
73.0 1
72.5 2
72.0 1 1
70.5 1
70.0 3 1
69.0 1
68.5 2
68.0 1
67.5 1
67.0 1 1
65.5 1
65.0 1 1
64.0 1 1
63.0 1
62.0 1
60.5 1
60.0 1
59.5 1
59.0 1
58.0 1
56.5 1 2
56.0 1 1
55.0 1
54.0 1 1
53.0 1
49.5 1
48.0 2
47.0 1
46.5 2
43.5 1
42.0 1
41.0 1
39.0 1
34.5 1
32.0 1
24.0 1
12.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Hawaii
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 0.22 0.22 8.82* 0.56 0.12 0.06 0.00
2 8.57* 0.56 0.06 0.03 0.22 0.56 0.00
3 8.85* 0.03 0.00 0.65 0.31 0.16 0.00
4 8.98* 0.47 0.12 0.19 0.03 0.22 0.00
5 7.67* 0.43 0.19 0.31 0.03 1.37 0.00
6 0.00 8.88* 0.09 0.03 0.65 0.34 0.00
7 0.65 8.23* 0.25 0.34 0.16 0.37 0.00
8 0.19 0.19 0.19 0.25 8.11* 1.09 0.00
9 0.53 4.50* 0.34 1.09 0.40 3.14 0.00
10 3.98* 0.81 0.84 0.22 2.64 1.52 0.00
11 0.65 0.12 1.24 0.65 5.12* 2.20 0.00
12 0.50 0.34 0.53 1.65* 0.40 6.58 0.00
13 0.34 0.53 3.82* 0.25 0.34 4.72 0.00
14 0.22 0.43 1.61 2.86* 0.22 4.66 0.00
15 0.25 3.11* 0.90 0.22 0.09 5.43 0.00
16 0.12 0.09 1.55* 0.16 0.25 7.83 0.00
17 0.56 0.40 1.37* 1.40 0.43 5.84 0.00
18 0.40 0.84* 0.65 0.28 0.19 7.64 0.00
19 0.16 2.39* 0.19 1.27 0.25 5.75 0.00
20 0.16 0.31 0.28* 0.06 0.40 8.79 0.00
21 0.28 0.25 0.09* 0.06 0.12 9.19 0.00
22 0.25 0.25* 0.19 0.12 0.09 9.10 0.00
23 0.25 0.09 0.25 0.16 0.16* 9.10 0.00
24 0.25 0.09 0.12* 0.12 0.06 9.35 0.00
25 0.16 0.19* 0.12 0.22 0.03 9.29 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column