American Mathematics Competitions
2006 AMC 10 A Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 404
Number of unofficial participants: 0
Average score of participants: 65.0
Average score for female students is: 62.9 ( 206 Students)
Average score for male students is: 66.8 ( 165 Students)
Average score for unspecified gender is 68.5 ( 33 Students)
Average score for grade 10 is: 66.3 ( 285 Students)
Average score for grade 9 is: 59.3 ( 94 Students)
Average score for grade 8 and below is: 85.5 ( 9 Students)
Average score with unknown grade: 63.1 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 4
Number of schools returning results 15
Average school winning score 93.53
American Mathematics Competitions
2006 AMC 12 A Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 635
Number of unofficial participants: 0
Average score of participants: 75.4
Average score for female students is: 72.2 ( 296 Students)
Average score for male students is: 78.6 ( 310 Students)
Average score for unspecified gender is 74.2 ( 29 Students)
Average score for grade 12 is: 78.5 ( 300 Students)
Average score for grade 11 is: 72.8 ( 305 Students)
Average score for grade 10 is: 73.1 ( 21 Students)
Average score with unknown grade: 66.4 ( 9 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 47
Number of schools returning results 17
Average school winning score 104.15
Average school team score 284.68
American Mathematics Competitions
2006 AMC 10 B Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 81
Number of unofficial participants: 0
Average score of participants: 64.0
Average score for female students is: 62.1 ( 44 Students)
Average score for male students is: 67.8 ( 34 Students)
Average score for unspecified gender is 49.2 ( 3 Students)
Average score for grade 10 is: 62.8 ( 19 Students)
Average score for grade 9 is: 60.5 ( 53 Students)
Average score for grade 8 and below is: 90.4 ( 8 Students)
Average score with unknown grade: 62.5 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 1
Number of schools returning results 5
Average school winning score 86.50
American Mathematics Competitions
2006 AMC 12 B Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 142
Number of unofficial participants: 0
Average score of participants: 87.9
Average score for female students is: 81.4 ( 59 Students)
Average score for male students is: 92.7 ( 79 Students)
Average score for unspecified gender is 87.5 ( 4 Students)
Average score for grade 12 is: 91.2 ( 77 Students)
Average score for grade 11 is: 81.2 ( 51 Students)
Average score for grade 10 is: 93.1 ( 8 Students)
Average score for grade 9 is: 94.6 ( 4 Students)
Average score with unknown grade: 95.3 ( 2 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 34
Number of schools returning results 6
Average school winning score 115.42
Average school team score 328.17
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
381.0 1 1
377.5 1 2
343.5 1 3
340.5 1 4
332.0 1 5
330.5 1 6
318.5 1 7
315.5 1 8
313.5 1 9
307.5 1 10
307.0 1 11
302.5 1 12
297.5 1 1 13
285.0 1 15
277.0 1 16
270.0 1 17
260.5 1 18
257.0 1 19
249.5 1 20
243.5 1 21
219.5 1 22
182.0 1 23
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
137.0 1
134.5 1
132.5 1
130.0 1 1
129.0 1
127.5 1
126.5 1
124.0 1
122.0 1
120.5 2
119.5 1
118.5 1 1
115.0 1 1 1
112.5 5 1
111.5 1 3
111.0 1
110.0 2 2
109.0 6 2
108.0 1 3
107.5 1 1
106.5 3 1 1
105.5 3 2
104.5 1 1
103.5 1
103.0 8 3 2
102.0 3 1
101.5 1 1
101.0 3 8
100.5 3
100.0 1
99.5 6 5
98.5 4 3
98.0 5 2 1
97.5 1 2
97.0 4 2 1
96.5 1
96.0 6 3 1
95.5 1 1
95.0 8 9
94.5 1 1 1
94.0 1
93.5 9 2
93.0 1
92.5 6 1 1 1
92.0 4 3
91.5 4 2
91.0 4 1 2 1
90.5 2
90.0 11 2 2
89.5 1 1
89.0 12 8 2
88.5 5 3
88.0 2 3
87.5 6 3 5
87.0 4 1 1
86.5 11 2 2
86.0 2 2
85.5 12 3 2
85.0 5 2 1
84.5 2
84.0 13 1 2 1
83.5 4 4
83.0 19 2 2
82.5 4 2 4
82.0 15 1 4 1
81.5 4 2 2
81.0 1 1 2 1
80.5 7 1 2
80.0 6 1 4
79.5 7 2 4
79.0 5 1
78.5 7 1 5 1
78.0 10 3 3
77.5 6 3 2
77.0 19 1 4 1
76.5 4 5
76.0 12 3 3
75.5 7 2 3
75.0 4 1 2 1
74.5 7 4 5 2
74.0 7 1 4
73.5 11 5 1
73.0 3 1 3
72.5 9 1 5
72.0 8 1 7
71.5 5 11
71.0 7 2 1 2
70.5 4 3 5 2
70.0 5 2
69.5 4 4
69.0 6 4
68.5 5 2 5
68.0 5 3
67.5 4 4 1
67.0 4 7 1
66.5 6 4 2
66.0 8 2 6 1
65.5 7 3 1
65.0 9 4 1
64.5 3 1 4
64.0 6 3 1
63.5 2 1 6 2
63.0 1 1 5 3
62.5 9 2 5 5
62.0 8 4 3
61.5 8 5 2
61.0 7 3 1
60.5 6 1 2 4
60.0 5 1 9
59.5 4 1 10
59.0 5 3 2
58.5 7 4
58.0 3 1 4 2
57.5 4 6
57.0 5 3 3
56.5 4 4 1
56.0 3 6
55.5 3 3
55.0 5 2
54.5 5 6 3
54.0 3 10 1
53.5 1 1 2
53.0 6 1 3 1
52.5 2 1 1
52.0 5 2 1
51.5 1 4
51.0 3 4
50.5 2 1
50.0 2 5 1
49.5 1 1
49.0 1 1 4
48.5 2 1 3 3
48.0 5 1 7 1
47.5 2 1 2
47.0 7 2
46.5 1 4
46.0 1 2 1
45.5 1
45.0 3 1
44.5 1 1
44.0 1 2
43.5 1
43.0 1
42.5 1 1 1
42.0 7 6 1
41.5 2 4
40.5 2 2
40.0 2 1
39.5 1
39.0 2
38.5 1 2
37.5 1
36.5 1 2
36.0 3 6
35.5 1
35.0 1
34.0 3
33.0 1
30.0 2 3 1
29.0 1 2
28.0 1
25.5 1
24.0 1
20.5 1
19.5 1
18.0 2 1
American Mathematics Competitions
2006 AMC 10 A Results for Arkansas
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
149.0 124.0 1 99.0
148.5 123.5 98.5
148.0 123.0 98.0 1
147.5 122.5 97.5 1 1
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5 1
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0 1
142.5 117.5 92.5 1
142.0 117.0 92.0 2 1
141.5 116.5 91.5
141.0 116.0 91.0 1 1
140.5 115.5 90.5
140.0 115.0 1 90.0 2
139.5 114.5 89.5 1
139.0 114.0 89.0 2
138.5 113.5 88.5 2 1
138.0 113.0 88.0 2
137.5 112.5 87.5 2 2
137.0 112.0 87.0
136.5 111.5 86.5 2
136.0 111.0 86.0 1
135.5 110.5 85.5 2
135.0 110.0 85.0
134.5 1 109.5 84.5
134.0 109.0 84.0 1
133.5 108.5 83.5 2 2
133.0 108.0 83.0 2
132.5 107.5 1 82.5 4
132.0 107.0 82.0 1 3
131.5 106.5 1 81.5 2
131.0 106.0 81.0 2
130.5 105.5 80.5 2
130.0 105.0 80.0 3 1
129.5 104.5 79.5 1 2
129.0 104.0 79.0
128.5 103.5 1 78.5 2 2
128.0 103.0 2 78.0 3
127.5 1 102.5 77.5 2 1
127.0 102.0 1 77.0 4
126.5 1 101.5 1 76.5 1 4
126.0 101.0 76.0 1 2
125.5 100.5 75.5 2 1
American Mathematics Competitions
2006 AMC 10 A Results for Arkansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 2 2 25.0
74.5 1 4 49.5 24.5
74.0 1 1 49.0 3 24.0 1
73.5 3 2 48.5 1 2 23.5
73.0 2 1 48.0 3 3 23.0
72.5 1 3 47.5 1 1 22.5
72.0 5 2 47.0 3 4 22.0
71.5 5 5 46.5 1 3 21.5
71.0 1 46.0 2 21.0
70.5 3 1 45.5 1 20.5 1
70.0 1 45.0 1 20.0
69.5 2 2 44.5 1 19.5 1
69.0 3 44.0 1 1 19.0
68.5 2 3 43.5 18.5
68.0 1 2 43.0 1 18.0 1 1
67.5 2 2 42.5 1 17.5
67.0 2 5 42.0 3 3 17.0
66.5 1 2 41.5 4 16.5
66.0 1 5 41.0 16.0
65.5 1 2 40.5 1 1 15.5
65.0 1 2 40.0 1 15.0
64.5 4 39.5 1 14.5
64.0 2 39.0 14.0
63.5 5 38.5 2 13.5
63.0 1 3 38.0 13.0
62.5 4 1 37.5 1 12.5
62.0 1 3 37.0 12.0
61.5 1 4 36.5 1 11.5
61.0 1 36.0 3 3 11.0
60.5 2 35.5 1 10.5
60.0 2 6 35.0 10.0
59.5 5 4 34.5 9.5
59.0 3 34.0 3 9.0
58.5 1 2 33.5 8.5
58.0 2 2 33.0 8.0
57.5 2 4 32.5 7.5
57.0 2 1 32.0 7.0
56.5 1 2 31.5 6.5
56.0 2 4 31.0 6.0
55.5 1 2 30.5 5.5
55.0 1 30.0 2 1 5.0
54.5 6 29.5 4.5
54.0 5 5 29.0 2 4.0
53.5 1 28.5 3.5
53.0 3 28.0 1 3.0
52.5 1 27.5 2.5
52.0 2 27.0 2.0
51.5 2 2 26.5 1.5
51.0 1 2 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
134.5 1
127.5 1
126.5 1
124.0 1
115.0 1
107.5 1
106.5 1
103.5 1
103.0 2
102.0 1
101.5 1
100.0 1
98.0 2
97.5 1 1
97.0 1
94.5 1
93.0 1
92.5 1
92.0 1 2
91.0 2
90.0 1 1
89.5 1
89.0 2
88.5 3
88.0 3
87.5 2 2 1
87.0 1
86.5 2
86.0 2
85.5 2
85.0 1
84.0 2
83.5 2 2
83.0 2
82.5 4
82.0 4
81.5 2
81.0 1 1
80.5 1 1
80.0 1 3
79.5 1 2 1
78.5 2 3
78.0 1 2
77.5 3
77.0 1 3
76.5 5
76.0 2 1
75.5 2 1
75.0 2
74.5 2 3
74.0 1 2 1
73.5 1 4
73.0 3
72.5 1 4
72.0 1 6
71.5 10 1
71.0 1
70.5 2 3
70.0 1 1
69.5 1 3
69.0 4
68.5 5
68.0 1 2
67.5 2 2
67.0 1 2 4
66.5 3 1
66.0 4 2
65.5 2 1
65.0 3 1
64.5 4
64.0 1 1 1
63.5 2 4
63.0 1 4
62.5 1 4
62.0 1 3
61.5 1 4
61.0 1
60.5 2
60.0 1 7 1
59.5 3 6 1
59.0 1 2
58.5 1 3
58.0 2 1 1
57.5 1 5
57.0 1 2
56.5 2 1 1
56.0 2 4
55.5 3
55.0 2
54.5 5 1
54.0 1 9
53.5 1
53.0 3
52.5 1
52.0 2
51.5 1 3
51.0 2 2
50.5 1
50.0 2 1 2
49.0 3 1
48.5 1 2
48.0 3 3 1
47.5 2
47.0 2 5
46.5 4
46.0 2
45.5 1
45.0 1
44.5 1
44.0 1 1
43.5 1
43.0 1
42.5 1
42.0 2 4
41.5 1 3
40.5 1 1
40.0 1
39.5 1
38.5 2
37.5 1
36.5 2
36.0 4 2
35.5 1
34.0 1 2
30.0 1 2
29.0 1 1
28.0 1
25.5 1
24.0 1
20.5 1
19.5 1
18.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Arkansas
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 9.88* 0.02 0.02 0.07 0.00 0.00 0.00
2 0.67 0.17 1.36* 0.54 3.22 4.03 0.00
3 0.20 6.88* 0.20 0.07 2.20 0.45 0.00
4 2.77 0.20 0.30 0.17 5.07* 1.46 0.02
5 0.52 2.05 1.58 5.07* 0.30 0.47 0.00
6 0.20 6.83* 0.69 0.20 0.07 2.00 0.00
7 6.66* 0.32 0.37 0.50 0.35 1.81 0.00
8 1.46 0.77 0.84 0.22 0.64* 6.06 0.00
9 2.23 1.81 3.27* 0.42 0.62 1.66 0.00
10 0.59 0.32 0.54 1.34 0.77* 6.44 0.00
11 1.34 1.71 1.58* 1.01 0.74 3.61 0.00
12 1.63 0.69 3.24* 0.99 0.45 3.00 0.00
13 0.45 1.83 1.29 2.70* 0.30 3.42 0.02
14 1.61 2.35* 0.47 1.11 1.26 3.19 0.00
15 1.14 0.64 0.62 0.84* 0.99 5.77 0.00
16 0.42 0.42 0.57 0.54* 0.89 7.15 0.00
17 1.68* 0.54 0.37 0.64 0.59 6.16 0.00
18 2.52 0.45 2.13* 0.50 0.30 4.11 0.00
19 0.67 1.36 0.62* 0.74 0.42 6.19 0.00
20 0.79 1.39 0.62 0.79 0.67* 5.74 0.00
21 1.09 0.92 0.82 0.64 0.84* 5.69 0.00
22 0.07 0.92 1.49* 4.03 1.98 1.51 0.00
23 1.44 0.79* 0.40 0.54 0.72 6.11 0.00
24 1.31 0.52* 0.47 0.32 0.37 7.00 0.00
25 1.16 0.64 0.62* 1.14 0.54 5.87 0.02
(*) 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 Arkansas
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 6
149.0 124.0 99.0
148.5 123.5 98.5 2 1
148.0 123.0 98.0 4 1
147.5 122.5 97.5
147.0 122.0 97.0 1 3
146.5 121.5 96.5 1
146.0 121.0 96.0 2 4
145.5 120.5 95.5 1
145.0 120.0 95.0 3 5
144.5 119.5 1 94.5 1
144.0 119.0 94.0 1
143.5 118.5 1 93.5 6 3
143.0 118.0 93.0
142.5 117.5 92.5 4 2
142.0 117.0 92.0 2 2
141.5 116.5 91.5 2 2
141.0 116.0 91.0 3 1
140.5 115.5 90.5 1
140.0 115.0 1 90.0 7 4
139.5 114.5 89.5
139.0 114.0 89.0 5 6
138.5 113.5 88.5 5
138.0 113.0 88.0 1
137.5 112.5 3 1 87.5 2 2
137.0 112.0 87.0 4
136.5 111.5 1 86.5 4 5
136.0 111.0 86.0 1 1
135.5 110.5 85.5 6 6
135.0 110.0 1 1 85.0 2 3
134.5 109.5 84.5 1 1
134.0 109.0 4 2 84.0 5 7
133.5 108.5 83.5 3 1
133.0 108.0 1 83.0 9 8
132.5 1 107.5 1 82.5 3 1
132.0 107.0 82.0 8 7
131.5 106.5 3 81.5 1 3
131.0 106.0 81.0 1
130.5 105.5 3 80.5 4 3
130.0 1 105.0 80.0 5
129.5 104.5 1 79.5 4 2
129.0 104.0 79.0 2 3
128.5 103.5 78.5 4 3
128.0 103.0 5 2 78.0 7 3
127.5 102.5 77.5 3 3
127.0 102.0 3 77.0 10 8
126.5 101.5 1 76.5 2 2
126.0 101.0 2 1 76.0 4 8
125.5 100.5 3 75.5 4 3
American Mathematics Competitions
2006 AMC 12 A Results for Arkansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 3 50.0 2 25.0
74.5 7 49.5 1 24.5
74.0 2 5 49.0 1 24.0
73.5 5 6 48.5 1 1 23.5
73.0 2 1 48.0 3 2 23.0
72.5 2 7 47.5 1 1 22.5
72.0 3 5 47.0 22.0
71.5 2 3 46.5 1 21.5
71.0 1 6 46.0 1 21.0
70.5 2 2 45.5 20.5
70.0 1 4 45.0 2 1 20.0
69.5 1 3 44.5 1 19.5
69.0 2 4 44.0 1 19.0
68.5 4 1 43.5 18.5
68.0 1 4 43.0 18.0
67.5 1 3 42.5 1 17.5
67.0 2 2 42.0 2 4 17.0
66.5 3 3 41.5 1 1 16.5
66.0 2 4 41.0 16.0
65.5 5 2 40.5 2 15.5
65.0 5 3 40.0 1 1 15.0
64.5 1 2 39.5 14.5
64.0 2 4 39.0 1 1 14.0
63.5 1 1 38.5 1 13.5
63.0 1 38.0 13.0
62.5 1 7 37.5 12.5
62.0 3 5 37.0 12.0
61.5 3 4 36.5 1 11.5
61.0 7 36.0 2 1 11.0
60.5 6 35.5 10.5
60.0 3 1 35.0 1 10.0
59.5 2 1 34.5 9.5
59.0 4 1 34.0 9.0
58.5 3 4 33.5 8.5
58.0 1 1 33.0 1 8.0
57.5 1 2 32.5 7.5
57.0 2 3 32.0 7.0
56.5 2 2 31.5 6.5
56.0 2 31.0 6.0
55.5 3 30.5 5.5
55.0 4 1 30.0 2 5.0
54.5 2 3 29.5 4.5
54.0 2 1 29.0 4.0
53.5 1 28.5 3.5
53.0 3 3 28.0 3.0
52.5 1 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 1 26.5 1.5
51.0 1 2 26.0 1.0
50.5 1 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
132.5 1
130.0 1
119.5 1
118.5 1
115.0 1
112.5 2 3
111.5 1
110.0 2
109.0 1 5
108.0 1
107.5 1
106.5 3
105.5 1 2
104.5 1
103.0 6 2
102.0 2 1
101.5 1
101.0 1 1 1
100.5 1 2
99.5 4 2
98.5 4
98.0 3 2
97.0 1 3
96.5 1
96.0 3 3
95.5 1
95.0 1 7
94.5 1
94.0 1
93.5 2 7
92.5 1 2 3
92.0 2 2
91.5 1 3
91.0 3 1
90.5 1 1
90.0 6 5
89.0 7 5
88.5 2 3
88.0 1 1
87.5 3 3
87.0 3 1
86.5 5 6
86.0 2
85.5 6 6
85.0 2 3
84.5 2
84.0 2 3 8
83.5 4
83.0 1 5 13
82.5 1 3
82.0 1 7 7
81.5 1 3
81.0 1
80.5 6 1
80.0 1 5
79.5 2 1 4
79.0 3 2
78.5 1 6
78.0 7 3
77.5 3 3
77.0 1 9 9
76.5 1 3
76.0 1 7 4
75.5 5 2
75.0 3 1
74.5 4 3
74.0 3 4
73.5 1 5 5
73.0 1 2
72.5 6 3
72.0 5 3
71.5 2 3
71.0 5 2
70.5 1 3
70.0 2 3
69.5 2 2
69.0 3 3
68.5 2 3
68.0 1 4
67.5 3 1
67.0 1 3
66.5 4 2
66.0 1 3 3 1
65.5 4 3
65.0 8 1
64.5 1 2
64.0 1 2 3
63.5 1 1
63.0 1
62.5 1 3 4 1
62.0 2 6
61.5 4 3 1
61.0 1 4 2
60.5 1 2 3
60.0 4 1
59.5 1 1 1 1
59.0 3 2
58.5 5 2
58.0 1 2
57.5 3 1
57.0 3 1 1
56.5 4
56.0 1 1 1
55.5 3
55.0 4 1
54.5 4 1
54.0 1 2
53.5 1
53.0 1 4 1
52.5 1 1
52.0 4 1
51.5 1
51.0 3
50.5 2
50.0 1 1
49.5 1
49.0 1
48.5 1 1
48.0 4 1
47.5 1 1
46.5 1
46.0 1
45.0 1 1 1
44.5 1
44.0 1
42.5 1
42.0 4 3
41.5 1 1
40.5 1 1
40.0 2
39.0 1 1
38.5 1
36.5 1
36.0 2 1
35.0 1
33.0 1
30.0 1 1
29.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Arkansas
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 9.86* 0.03 0.02 0.06 0.00 0.03 0.00
2 1.61 0.22 2.54* 0.19 1.57 3.87 0.00
3 0.14 8.08* 0.11 0.00 1.45 0.22 0.00
4 2.00 0.20 0.14 0.20 6.52* 0.93 0.00
5 0.39 1.21 1.20 6.58* 0.28 0.33 0.00
6 6.99* 0.11 0.25 0.39 0.27 1.98 0.00
7 0.76 3.78* 1.24 0.50 0.41 3.31 0.00
8 1.56 1.37 5.01* 0.19 0.31 1.54 0.02
9 7.35* 0.25 0.17 0.08 0.30 1.84 0.00
10 0.33 0.33 0.63 2.41 0.80* 5.48 0.02
11 1.57 0.66 1.15* 1.45 0.58 4.58 0.00
12 1.69 3.48* 0.25 0.87 0.69 3.01 0.02
13 0.72 0.22 0.19 0.13 3.87* 4.85 0.02
14 0.03 0.36 3.24* 3.56 1.04 1.76 0.00
15 2.25* 1.62 0.61 0.31 1.02 4.16 0.02
16 0.54 2.09* 0.31 0.43 0.74 5.89 0.00
17 0.54 0.50* 0.54 0.31 0.20 7.91 0.00
18 1.06 0.19 0.52 0.41 0.38* 7.45 0.00
19 0.16 0.17 0.30 0.25 0.33* 8.79 0.00
20 1.39 0.49 0.50* 0.46 0.19 6.98 0.00
21 0.14 0.16 0.49 0.09 0.13* 8.99 0.00
22 0.25 0.24 0.28 0.19* 0.09 8.94 0.00
23 0.17 0.22* 0.25 0.19 0.14 9.02 0.00
24 1.20 0.30 0.25 0.27* 0.19 7.80 0.00
25 0.19 0.36 0.25 0.14 0.17* 8.88 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 Arkansas
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
148.0 123.0 98.0 1
147.5 122.5 97.5
147.0 122.0 97.0
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 95.5
145.0 120.0 95.0
144.5 119.5 94.5
144.0 119.0 94.0
143.5 118.5 93.5
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5 1
139.0 114.0 89.0
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 87.5
137.0 1 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0
134.5 109.5 84.5
134.0 109.0 84.0 1
133.5 108.5 83.5
133.0 108.0 83.0
132.5 107.5 82.5
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
130.0 105.0 80.0
129.5 104.5 79.5
129.0 104.0 79.0
128.5 103.5 78.5 1
128.0 103.0 78.0
127.5 102.5 77.5 1 1
127.0 102.0 77.0 1
126.5 101.5 76.5
126.0 101.0 76.0 3
125.5 100.5 75.5
American Mathematics Competitions
2006 AMC 10 B Results for Arkansas
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 49.5 1 24.5
74.0 49.0 24.0
73.5 1 48.5 2 23.5
73.0 48.0 1 23.0
72.5 47.5 22.5
72.0 47.0 1 1 22.0
71.5 46.5 21.5
71.0 2 46.0 1 21.0
70.5 2 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 43.5 18.5
68.0 43.0 18.0 1
67.5 1 42.5 1 17.5
67.0 1 42.0 17.0
66.5 2 41.5 16.5
66.0 1 41.0 16.0
65.5 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 1 1 38.5 13.5
63.0 3 38.0 13.0
62.5 4 1 37.5 12.5
62.0 2 1 37.0 12.0
61.5 2 36.5 11.5
61.0 36.0 11.0
60.5 2 2 35.5 10.5
60.0 35.0 10.0
59.5 34.5 9.5
59.0 2 34.0 9.0
58.5 33.5 8.5
58.0 2 33.0 8.0
57.5 32.5 7.5
57.0 1 1 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 1 5.0
54.5 3 29.5 4.5
54.0 1 29.0 4.0
53.5 2 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
137.0 1
98.0 1
96.0 1
92.5 1
91.0 1
89.5 1
84.0 1
82.0 1
81.0 1
78.5 1
77.5 1 1
77.0 1
76.0 2 1
75.0 1
74.5 1 1
73.5 1
71.0 1 1
70.5 1 1
67.5 1
67.0 1
66.5 2
66.0 1
65.5 1
65.0 1
64.0 1
63.5 2
63.0 2 1
62.5 4 1
62.0 1 2
61.5 1 1
60.5 4
59.0 2
58.0 1 1
57.0 3
56.5 1
54.5 3
54.0 1
53.5 2
53.0 1
52.5 1
52.0 1
50.0 1
49.5 1
48.5 3
48.0 1
47.0 2
46.0 1
42.5 1
42.0 1
30.0 1
18.0 1
American Mathematics Competitions
2006 AMC 10 B Results for Arkansas
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 1.11 0.25 4.94* 1.98 0.99 0.74 0.00
2 3.95* 0.86 0.00 0.00 0.12 5.06 0.00
3 7.90* 0.37 0.12 1.23 0.00 0.37 0.00
4 1.85 2.10 0.00 2.47* 1.60 1.85 0.12
5 1.11 3.95* 2.35 0.00 0.37 2.22 0.00
6 0.62 0.00 3.83 1.73* 0.25 3.58 0.00
7 1.36* 0.86 1.60 0.99 0.49 4.69 0.00
8 1.85 0.62* 0.49 1.36 0.49 5.19 0.00
9 0.00 6.79* 0.00 0.00 1.60 1.60 0.00
10 1.85* 0.62 0.86 0.12 1.85 4.69 0.00
11 0.25 0.12 2.35* 0.12 0.25 6.91 0.00
12 0.25 0.49 0.37 0.37 2.84* 5.68 0.00
13 0.74 0.00 2.84 0.49 1.48* 4.44 0.00
14 0.12 0.37 0.00 0.49* 0.25 8.77 0.00
15 0.99 0.49 0.74* 0.12 0.37 7.28 0.00
16 1.85 0.49 1.98 0.86 1.23* 3.58 0.00
17 2.10 1.36 1.23 1.98* 0.12 3.21 0.00
18 0.86 0.25 0.49 0.12 0.62* 7.65 0.00
19 0.12* 0.37 0.12 0.12 0.12 9.14 0.00
20 0.25 0.25 0.37 0.37 0.86* 7.90 0.00
21 0.62 0.12 0.37* 1.48 0.86 6.54 0.00
22 0.12 0.37 2.10 0.62* 0.00 6.79 0.00
23 0.25 0.62 0.12 0.00* 0.12 8.89 0.00
24 0.00 0.74* 0.62 0.25 0.37 8.02 0.00
25 0.12 2.35* 0.25 1.23 0.37 5.68 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 Arkansas
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 2
149.0 124.0 99.0
148.5 123.5 98.5 2 1
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 1 97.0 1 1
146.5 121.5 96.5
146.0 121.0 96.0 3
145.5 120.5 2 95.5 1
145.0 120.0 95.0 6 2
144.5 119.5 94.5 1
144.0 119.0 94.0
143.5 118.5 1 93.5 1 1
143.0 118.0 93.0
142.5 117.5 92.5 1
142.0 117.0 92.0
141.5 116.5 91.5 1 1
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 1 90.0 1 1
139.5 114.5 89.5
139.0 114.0 89.0 5 2
138.5 113.5 88.5
138.0 113.0 88.0
137.5 112.5 1 87.5 2 1
137.0 112.0 87.0 1
136.5 111.5 2 1 86.5 1 1
136.0 111.0 1 86.0
135.5 110.5 85.5 3
135.0 110.0 2 85.0 1 1
134.5 109.5 84.5
134.0 109.0 2 84.0 1
133.5 108.5 83.5
133.0 108.0 1 2 83.0 1 1
132.5 107.5 82.5 1 1
132.0 107.0 82.0 1
131.5 106.5 1 81.5 2
131.0 106.0 81.0 1
130.5 105.5 1 1 80.5 1
130.0 1 105.0 80.0 1
129.5 104.5 1 79.5 2
129.0 1 104.0 79.0 1
128.5 103.5 78.5 1
128.0 103.0 2 78.0 2 1
127.5 102.5 77.5
127.0 102.0 77.0 1
126.5 101.5 76.5
126.0 101.0 6 2 76.0
125.5 100.5 75.5 1 1
American Mathematics Competitions
2006 AMC 12 B Results for Arkansas
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 2 49.5 24.5
74.0 1 49.0 1 24.0
73.5 48.5 1 23.5
73.0 1 48.0 1 23.0
72.5 1 47.5 1 22.5
72.0 1 47.0 22.0
71.5 46.5 21.5
71.0 2 46.0 21.0
70.5 1 2 45.5 20.5
70.0 45.0 20.0
69.5 44.5 19.5
69.0 44.0 19.0
68.5 2 43.5 18.5
68.0 43.0 18.0
67.5 42.5 17.5
67.0 42.0 17.0
66.5 41.5 16.5
66.0 1 1 41.0 16.0
65.5 40.5 15.5
65.0 40.0 15.0
64.5 1 39.5 14.5
64.0 39.0 14.0
63.5 1 38.5 13.5
63.0 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 2 1 36.0 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 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 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 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 Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
129.0 1
122.0 1
120.5 2
118.5 1
115.0 1
112.5 1
111.5 1 1 1
111.0 1
110.0 1 1
109.0 2
108.0 1 2
106.5 1
105.5 2
104.5 1
103.0 3
101.0 8
99.5 1 2 2
98.5 1 2
97.5 1
97.0 2
96.0 1 2
95.5 1
95.0 1 2 5 1
94.5 1
93.5 2
92.5 1
91.5 2
91.0 1
90.0 1 1
89.0 2 6
87.5 1 2
87.0 1
86.5 2
85.5 2 1
85.0 2
84.0 1
83.0 2
82.5 1 1
82.0 1
81.5 2
81.0 1
80.5 1
80.0 1
79.5 2
79.0 1
78.5 1
78.0 2 1
77.0 1
75.5 2
75.0 1
74.5 1 2 1
74.0 1
73.0 1
72.5 1
72.0 1
71.0 2
70.5 2 1
68.5 2
66.0 2
64.5 1
63.5 1
63.0 1
62.5 1 1
61.0 1 1 1
60.5 1
60.0 1
59.5 1
58.0 1
53.0 1
49.0 1
48.5 1
48.0 1
47.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Arkansas
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 0.21 0.35 8.52* 0.63 0.14 0.14 0.00
2 7.75* 0.42 0.00 0.14 0.21 1.48 0.00
3 8.73* 0.14 0.07 0.63 0.28 0.14 0.00
4 9.58* 0.14 0.00 0.07 0.07 0.14 0.00
5 7.96* 0.70 0.21 0.00 0.00 1.13 0.00
6 0.00 9.23* 0.00 0.00 0.70 0.07 0.00
7 0.70 8.52* 0.35 0.21 0.00 0.21 0.00
8 0.07 0.35 0.00 0.35 7.96* 1.27 0.00
9 0.49 5.56* 0.35 0.70 0.49 2.39 0.00
10 3.52* 0.42 1.34 0.14 2.61 1.97 0.00
11 0.56 0.14 1.20 0.49 5.70* 1.90 0.00
12 0.56 0.56 0.14 1.20* 0.70 6.83 0.00
13 0.77 0.85 3.52* 0.14 0.42 4.30 0.00
14 0.21 0.56 2.39 2.32* 0.07 4.44 0.00
15 0.00 2.11* 0.56 0.42 0.28 6.62 0.00
16 0.21 0.14 0.99* 0.35 0.21 8.10 0.00
17 0.70 0.42 1.20* 1.48 0.21 5.99 0.00
18 0.42 0.49* 1.55 0.35 0.07 7.11 0.00
19 0.21 2.39* 0.14 1.34 0.00 5.92 0.00
20 0.07 0.35 0.14* 0.07 0.35 9.01 0.00
21 0.14 0.07 0.14* 0.14 0.00 9.51 0.00
22 0.00 0.42* 0.28 0.07 0.00 9.23 0.00
23 0.28 0.28 0.21 0.14 0.00* 9.08 0.00
24 0.07 0.00 0.07* 0.21 0.07 9.58 0.00
25 0.07 0.14* 0.14 0.35 0.00 9.30 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column