American Mathematics Competitions
2005 AMC 10 A Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 489
Number of unofficial participants: 0
Average score of participants: 65.9
Average score for female students is: 64.0 ( 281 Students)
Average score for male students is: 68.8 ( 193 Students)
Average score for unspecified gender is 64.7 ( 15 Students)
Average score for grade 10 is: 66.1 ( 353 Students)
Average score for grade 9 is: 64.8 ( 130 Students)
Average score with unknown grade: 74.0 ( 6 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 21
Average school winning score 89.81
American Mathematics Competitions
2005 AMC 12 A Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 790
Number of unofficial participants: 0
Average score of participants: 68.8
Average score for female students is: 65.5 ( 369 Students)
Average score for male students is: 71.4 ( 404 Students)
Average score for unspecified gender is 75.7 ( 17 Students)
Average score for grade 12 is: 69.1 ( 383 Students)
Average score for grade 11 is: 68.4 ( 393 Students)
Average score for grade 10 is: 73.1 ( 9 Students)
Average score for grade 9 is: 62.0 ( 1 Student)
Average score with unknown grade: 70.1 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 23
Number of schools returning results 24
Average school winning score 99.90
Average school team score 275.08
American Mathematics Competitions
2005 AMC 10 B Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 228
Number of unofficial participants: 0
Average score of participants: 58.4
Average score for female students is: 56.0 ( 112 Students)
Average score for male students is: 61.4 ( 103 Students)
Average score for unspecified gender is 55.3 ( 13 Students)
Average score for grade 10 is: 58.0 ( 114 Students)
Average score for grade 9 is: 59.2 ( 104 Students)
Average score for grade 8 and below is: 74.5 ( 5 Students)
Average score with unknown grade: 34.6 ( 5 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 8
Average school winning score 90.88
American Mathematics Competitions
2005 AMC 12 B Results for Arkansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 260
Number of unofficial participants: 0
Average score of participants: 73.5
Average score for female students is: 68.2 ( 114 Students)
Average score for male students is: 76.4 ( 131 Students)
Average score for unspecified gender is 89.7 ( 15 Students)
Average score for grade 12 is: 72.3 ( 119 Students)
Average score for grade 11 is: 72.4 ( 121 Students)
Average score for grade 10 is: 84.5 ( 12 Students)
Average score for grade 9 is: 99.6 ( 4 Students)
Average score with unknown grade: 84.4 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 24
Number of schools returning results 11
Average school winning score 100.64
Average school team score 283.73
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
357.0 1 1
352.0 1 2
347.0 1 3
326.0 1 4
312.5 1 5
311.0 1 6
307.0 1 7
296.5 1 8
295.0 1 9
292.5 1 10
290.5 1 11
289.0 1 12
284.5 2 13
284.0 1 15
283.5 1 16
281.5 1 17
280.0 1 18
274.0 1 19
268.5 1 20
266.0 1 21
263.5 2 1 22
256.0 1 25
250.5 1 26
248.0 1 27
245.0 1 28
244.5 2 29
238.5 1 31
237.0 1 32
234.0 1 33
227.0 1 34
225.0 1 35
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
143.0 1
132.0 1
131.0 1
130.0 1
120.5 1
119.5 1
119.0 1
117.0 1
116.0 1
114.5 1
112.5 1 1
112.0 1
111.5 2
110.0 3 2
109.0 1 1
108.0 2 6
107.5 1 1
106.5 2
105.5 1 2 1
105.0 1
104.5 4
104.0 1 1 1
103.0 1
102.5 1
102.0 2 2
101.5 1
101.0 2 3
100.5 1 3 3
99.5 1 3
99.0 1
98.5 8 2 2
98.0 1 1
97.5 1
97.0 1 1 1
96.5 1
96.0 4 4 3
95.5 1
95.0 5 2 1
94.5 1 1
94.0 4 1
93.5 2 1 1 1
92.5 5 4 2 1
92.0 1 2
91.5 5 3 1 2
91.0 3 2 1
90.5 1
90.0 2 2 4
89.0 10 5 3
88.5 2 1 1
88.0 3 2 2 2
87.5 3 2 1
87.0 6 6 3
86.5 8 4 3
86.0 1 1 2
85.5 5 5 7 2
85.0 1 1 2
84.5 5 2 6 1
84.0 4 3 3 3
83.5 4 4
83.0 11 4 2
82.5 1 1 1
82.0 9 3 5
81.5 3 4 2
81.0 5 5 6 1
80.5 8 1 5 2
80.0 4 2 3 1
79.5 8 3 6 3
79.0 6 3 2
78.5 12 4 1 1
78.0 7 2 3
77.5 7 4
77.0 15 2 5 2
76.5 5 5 4 1
76.0 7 1 11 1
75.5 6 1 2
75.0 25 4 3 2
74.5 7 4 6 1
74.0 15 2 5 2
73.5 10 6 10
73.0 8 2 3 2
72.5 17 4 9 2
72.0 8 7 3
71.5 16 2 8 1
71.0 8 2 4 4
70.5 6 3 3 2
70.0 15 1 8 5
69.5 6 3 5 2
69.0 14 3 7 5
68.5 8 2 5
68.0 19 2 2 1
67.5 6 3 5 1
67.0 10 5 4 3
66.5 12 1 14 3
66.0 6 3 4 4
65.5 12 3 2
65.0 11 1 10 1
64.5 18 2 6 1
64.0 14 4 10 4
63.5 9 3 3 2
63.0 13 2 12 2
62.5 13 2 2 3
62.0 18 6 8 1
61.5 11 1 7 8
61.0 8 3 5 2
60.5 6 5 3
60.0 5 3 2 6
59.5 9 3 4 2
59.0 11 3 4 2
58.5 11 1 1 3
58.0 8 1 4 3
57.5 3 4 3
57.0 12 2 7 1
56.5 10 4 6 2
56.0 4 2 5 2
55.5 13 1 9 4
55.0 4 8 1
54.5 8 1 9
54.0 6 1 7 4
53.5 4 2 3
53.0 4 4 4 3
52.5 4 1 6 4
52.0 1 1 5 3
51.5 2 6 1 2
51.0 2 1 1 1
50.5 5 2 2 1
50.0 1 2 4 1
49.5 1 2 6
49.0 3 3 2
48.5 5 2 1 1
48.0 12 2 7 4
47.5 1 1 7 2
47.0 4 2 2
46.5 1 2 1
46.0 5 2
45.5 3 1
45.0 1 4 1
44.5 5 3 1
44.0 1
43.5 1 4 3 1
43.0 2 2 1
42.5 2 1 3
42.0 5 4 6
41.5 2 1
40.5 3 1
40.0 1 1 2
39.5 4 1 1
39.0 4 4 1
38.5 1 1 2
38.0 2 1 2 1
37.5 1 1
37.0 1 1
36.5 1 2
36.0 3 7
35.5 1 1 2
35.0 1 4
34.5 1 1
34.0 1 2 1
33.0 1
32.5 1 2
32.0 1 1
31.0 1 1
30.5 1 1
30.0 3 1 5
29.5 1
29.0 1
28.5 2 1
27.0 1
26.5 1
25.5 1
24.5 2
24.0 3 1 4
22.0 1
21.0 1
18.0 2 5
12.0 1 3
8.5 1
American Mathematics Competitions
2005 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
149.5 124.5 99.5
149.0 124.0 99.0 1
148.5 123.5 98.5 1 1
148.0 123.0 98.0
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 2
145.5 120.5 1 95.5 1
145.0 120.0 95.0 1
144.5 119.5 94.5
144.0 119.0 1 94.0
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 1 1
142.0 117.0 92.0 1
141.5 116.5 91.5 1
141.0 116.0 91.0 1
140.5 115.5 90.5
140.0 115.0 90.0 1 3
139.5 114.5 1 89.5
139.0 114.0 89.0 1 2
138.5 113.5 88.5 1
138.0 113.0 88.0 2
137.5 112.5 87.5 1
137.0 112.0 87.0 1 2
136.5 111.5 86.5 2 1
136.0 111.0 86.0 2
135.5 110.5 85.5 3 4
135.0 110.0 2 85.0 1 1
134.5 109.5 84.5 4 2
134.0 109.0 1 84.0 2 1
133.5 108.5 83.5 1 3
133.0 108.0 83.0
132.5 107.5 1 82.5 1
132.0 1 107.0 82.0 2 3
131.5 106.5 81.5 1 3
131.0 106.0 81.0 2 4
130.5 105.5 1 80.5 2 3
130.0 105.0 1 80.0 3
129.5 104.5 79.5 3 2
129.0 104.0 1 79.0 2 1
128.5 103.5 78.5 1
128.0 103.0 78.0 1 1
127.5 102.5 77.5 2 2
127.0 102.0 77.0 2 3
126.5 101.5 76.5 3 1
126.0 101.0 76.0 7 4
125.5 100.5 3 75.5
American Mathematics Competitions
2005 AMC 10 A Results for Arkansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 50.0 4 25.0
74.5 4 2 49.5 5 1 24.5
74.0 5 49.0 1 2 24.0 1
73.5 5 4 48.5 1 23.5
73.0 1 2 48.0 2 5 23.0
72.5 1 7 47.5 2 5 22.5
72.0 1 6 47.0 1 1 22.0
71.5 2 6 46.5 1 21.5
71.0 2 1 46.0 21.0 1
70.5 2 1 45.5 20.5
70.0 4 4 45.0 2 2 20.0
69.5 3 2 44.5 1 2 19.5
69.0 1 6 44.0 19.0
68.5 2 3 43.5 1 2 18.5
68.0 2 43.0 1 18.0
67.5 2 3 42.5 3 17.5
67.0 2 1 42.0 3 1 17.0
66.5 5 8 41.5 2 16.5
66.0 4 41.0 16.0
65.5 3 40.5 3 15.5
65.0 4 6 40.0 2 15.0
64.5 4 2 39.5 1 14.5
64.0 2 8 39.0 2 2 14.0
63.5 1 2 38.5 1 13.5
63.0 6 6 38.0 2 13.0
62.5 2 37.5 1 12.5
62.0 2 6 37.0 1 12.0
61.5 1 5 36.5 2 11.5
61.0 2 3 36.0 11.0
60.5 1 4 35.5 1 10.5
60.0 2 35.0 2 2 10.0
59.5 2 2 34.5 1 9.5
59.0 1 3 34.0 2 9.0
58.5 1 33.5 8.5
58.0 1 3 33.0 8.0
57.5 1 1 32.5 7.5
57.0 3 4 32.0 1 7.0
56.5 2 3 31.5 6.5
56.0 3 2 31.0 1 6.0
55.5 2 7 30.5 1 5.5
55.0 3 4 30.0 5.0
54.5 3 6 29.5 4.5
54.0 2 5 29.0 1 4.0
53.5 28.5 1 1 3.5
53.0 1 3 28.0 3.0
52.5 1 5 27.5 2.5
52.0 1 4 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
132.0 1
120.5 1
119.0 1
114.5 1
110.0 1 1
109.0 1
107.5 1
105.5 1
105.0 1
104.0 1
100.5 2 1
99.0 1
98.5 2
97.0 1
96.0 2 1
95.5 1
95.0 1
93.5 1
92.5 2
92.0 1
91.5 1
91.0 1
90.0 4
89.0 3
88.5 1
88.0 2
87.5 1
87.0 2 1
86.5 2 1
86.0 2
85.5 1 6
85.0 2
84.5 2 4
84.0 2 1
83.5 1 3
82.5 1
82.0 4 1
81.5 1 3
81.0 2 4
80.5 1 4
80.0 3
79.5 6
79.0 3
78.5 1
78.0 2 1
77.5 4
77.0 2 3
76.5 2 2
76.0 3 8
75.0 1 2
74.5 1 4 1
74.0 1 4
73.5 4 6
73.0 1 2
72.5 1 8
72.0 7
71.5 3 5
71.0 4
70.5 2 1
70.0 2 6
69.5 5
69.0 2 5
68.5 5
68.0 2
67.5 2 3
67.0 2 2
66.5 5 9
66.0 4
65.5 1 2
65.0 2 8
64.5 3 3
64.0 5 5
63.5 3
63.0 4 8
62.5 2
62.0 1 7
61.5 6 1
61.0 5
60.5 1 4
60.0 2
59.5 3 1
59.0 2 2
58.5 1
58.0 3 1
57.5 2 2
57.0 5 2
56.5 2 4
56.0 1 4
55.5 4 5
55.0 1 7
54.5 3 6
54.0 7
53.0 2 2
52.5 3 3
52.0 1 3 1
51.5 1
51.0 1
50.5 1 1
50.0 1 3
49.5 6
49.0 3
48.5 1
48.0 4 3
47.5 3 4
47.0 2
46.5 1
45.0 2 2
44.5 2 1
43.5 1 2
43.0 2
42.5 1 2
42.0 1 3
41.5 1 1
40.5 3
40.0 1 1
39.5 1
39.0 4
38.5 1
38.0 1 1
37.5 1
37.0 1
36.5 2
35.5 1 1
35.0 2 2
34.5 1
34.0 1 1
32.0 1
31.0 1
30.5 1
29.0 1
28.5 2
24.0 1
21.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Arkansas
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 0.57 0.14 0.29 7.98* 0.49 0.53 0.00
2 0.25 0.10 4.11* 0.06 1.76 3.72 0.00
3 0.08 8.38* 0.35 0.49 0.29 0.41 0.00
4 0.39 0.94* 2.39 1.02 0.27 4.99 0.00
5 5.01* 0.41 4.36 0.08 0.04 0.10 0.00
6 0.27 3.03* 4.58 0.12 0.10 1.90 0.00
7 0.96 3.29* 0.41 0.43 0.90 4.01 0.00
8 1.25 0.33 2.39* 0.08 0.22 5.71 0.02
9 1.17 4.52* 1.53 0.31 0.39 2.09 0.00
10 0.70* 0.51 1.17 0.20 0.12 7.30 0.00
11 0.80 1.88* 0.12 0.70 0.06 6.44 0.00
12 0.35 0.53* 0.47 0.27 0.39 8.00 0.00
13 1.41 0.82 0.27 0.43 0.51* 6.56 0.00
14 0.63 0.57 0.59 0.41 1.45* 6.34 0.00
15 0.37 0.76 0.53 0.80 0.70* 6.85 0.00
16 0.90 0.37 0.57 1.04* 0.16 6.95 0.00
17 0.33 0.51 0.63 1.47* 0.78 6.28 0.00
18 1.80* 1.68 1.84 2.19 0.47 2.02 0.00
19 0.65 0.59 0.84 2.45* 0.80 4.66 0.00
20 0.29* 0.49 0.55 0.57 0.33 7.77 0.00
21 1.82 0.53* 0.43 0.41 0.39 6.42 0.00
22 0.74 0.51 0.39 1.12* 0.49 6.75 0.00
23 0.25 0.45 1.10* 0.92 0.67 6.61 0.00
24 0.59 0.55* 0.41 0.20 0.08 8.16 0.00
25 0.27 0.63 0.88 0.72* 0.18 7.32 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 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 1
149.0 124.0 99.0
148.5 123.5 98.5 4 4
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 4
145.5 120.5 95.5
145.0 120.0 95.0 3 1
144.5 119.5 1 94.5 1
144.0 119.0 94.0 3 1
143.5 118.5 93.5 2
143.0 1 118.0 93.0
142.5 117.5 92.5 5
142.0 117.0 1 92.0
141.5 116.5 91.5 2 3
141.0 116.0 1 91.0 3
140.5 115.5 90.5 1
140.0 115.0 90.0 2
139.5 114.5 89.5
139.0 114.0 89.0 6 4
138.5 113.5 88.5 2
138.0 113.0 88.0 1 2
137.5 112.5 1 87.5 1 2
137.0 112.0 87.0 4 2
136.5 111.5 1 1 86.5 4 3
136.0 111.0 86.0
135.5 110.5 85.5 1 4
135.0 110.0 85.0 1
134.5 109.5 84.5 3 2
134.0 109.0 1 84.0 2 2
133.5 108.5 83.5 3 1
133.0 108.0 2 83.0 6 5
132.5 107.5 82.5 1
132.0 107.0 82.0 8 1
131.5 106.5 81.5 3
131.0 1 106.0 81.0 3 2
130.5 105.5 1 80.5 3 3
130.0 105.0 80.0 2 2
129.5 104.5 3 79.5 5 3
129.0 104.0 1 79.0 3 3
128.5 103.5 78.5 7 5
128.0 103.0 78.0 3 4
127.5 102.5 77.5 5 2
127.0 102.0 2 77.0 11 3
126.5 101.5 1 76.5 2 3
126.0 101.0 1 76.0 6 1
125.5 100.5 1 75.5 4 2
American Mathematics Competitions
2005 AMC 12 A Results for Arkansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 17 8 50.0 1 25.0
74.5 3 4 49.5 1 24.5
74.0 8 7 49.0 2 1 24.0 1 2
73.5 5 5 48.5 5 23.5
73.0 1 6 48.0 4 7 23.0
72.5 10 7 47.5 1 22.5
72.0 7 1 47.0 3 1 22.0
71.5 8 6 46.5 1 21.5
71.0 3 5 46.0 3 2 21.0
70.5 2 4 45.5 2 1 20.5
70.0 6 9 45.0 1 20.0
69.5 2 3 44.5 4 1 19.5
69.0 5 8 44.0 1 19.0
68.5 4 4 43.5 1 18.5
68.0 13 6 43.0 2 18.0 1 1
67.5 3 3 42.5 1 1 17.5
67.0 7 3 42.0 4 1 17.0
66.5 7 5 41.5 16.5
66.0 3 3 41.0 16.0
65.5 7 5 40.5 15.5
65.0 6 5 40.0 1 15.0
64.5 6 11 39.5 4 14.5
64.0 8 6 39.0 4 14.0
63.5 3 6 38.5 1 13.5
63.0 4 9 38.0 2 13.0
62.5 5 8 37.5 12.5
62.0 3 15 37.0 1 12.0 1
61.5 6 5 36.5 1 11.5
61.0 3 5 36.0 11.0
60.5 1 5 35.5 1 10.5
60.0 3 2 35.0 1 10.0
59.5 4 5 34.5 1 9.5
59.0 6 5 34.0 1 9.0
58.5 3 8 33.5 8.5
58.0 2 6 33.0 1 8.0
57.5 2 1 32.5 1 7.5
57.0 6 6 32.0 7.0
56.5 6 4 31.5 6.5
56.0 1 2 31.0 6.0
55.5 6 7 30.5 5.5
55.0 3 1 30.0 1 2 5.0
54.5 2 6 29.5 4.5
54.0 1 5 29.0 4.0
53.5 3 1 28.5 3.5
53.0 3 28.0 3.0
52.5 1 3 27.5 2.5
52.0 1 27.0 2.0
51.5 2 26.5 1 1.5
51.0 1 1 26.0 1.0
50.5 3 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
131.0 1
119.5 1
117.0 1
116.0 1
112.5 1
111.5 2
109.0 1
108.0 2
105.5 1
104.5 4
104.0 1
102.0 1 1
101.5 1
101.0 2
100.5 1
99.5 1
98.5 6 2
98.0 1
97.0 1
96.0 1 3
95.0 4 1
94.5 1
94.0 2 2
93.5 2
92.5 3 2
91.5 2 3
91.0 1 2
90.5 1
90.0 1 1
89.0 5 4 1
88.5 2
88.0 2 1
87.5 3
87.0 1 5
86.5 3 5
86.0 1
85.5 2 3
85.0 1
84.5 4 1
84.0 1 3
83.5 3 1
83.0 6 5
82.5 1
82.0 1 5 3
81.5 3
81.0 2 3
80.5 4 4
80.0 2 2
79.5 5 3
79.0 5 1
78.5 6 6
78.0 3 4
77.5 5 2
77.0 8 7
76.5 3 2
76.0 2 5
75.5 4 2
75.0 13 12
74.5 4 3
74.0 7 8
73.5 3 7
73.0 3 5
72.5 1 5 11
72.0 3 5
71.5 1 9 6
71.0 2 6
70.5 1 2 3
70.0 5 10
69.5 4 1 1
69.0 11 3
68.5 3 5
68.0 9 10
67.5 4 2
67.0 4 6
66.5 7 5
66.0 4 2
65.5 1 5 6
65.0 1 5 5
64.5 8 9 1
64.0 9 5
63.5 5 4
63.0 6 7
62.5 1 3 9
62.0 1 10 7
61.5 8 3
61.0 5 3
60.5 3 3
60.0 2 3
59.5 7 2
59.0 5 6
58.5 5 6
58.0 4 4
57.5 1 1 1
57.0 6 6
56.5 4 6
56.0 2 2
55.5 1 5 7
55.0 4
54.5 5 3
54.0 2 4
53.5 3 1
53.0 4
52.5 2 2
52.0 1
51.5 2
51.0 1 1
50.5 2 3
50.0 1
49.5 1
49.0 2 1
48.5 2 3
48.0 4 8
47.5 1
47.0 3 1
46.5 1
46.0 2 3
45.5 2 1
45.0 1
44.5 3 2
44.0 1
43.5 1
43.0 1 1
42.5 1 1
42.0 4 1
40.0 1
39.5 1 3
39.0 2 2
38.5 1
38.0 1 1
37.0 1
36.5 1
35.5 1
35.0 1
34.5 1
34.0 1
33.0 1
32.5 1
30.0 1 2
26.5 1
24.0 2 1
18.0 2
12.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Arkansas
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 0.11 0.13 0.23 8.59* 0.19 0.75 0.00
2 0.03 9.11* 0.25 0.44 0.05 0.10 0.01
3 0.47 1.91* 1.80 0.65 0.46 4.72 0.00
4 5.56* 0.41 3.70 0.10 0.06 0.18 0.00
5 0.24 4.65* 3.43 0.08 0.10 1.51 0.00
6 0.87 3.34* 0.41 0.48 0.84 4.06 0.00
7 0.91 0.18 4.59* 0.13 0.14 4.05 0.00
8 0.28 0.49 0.44 1.15* 0.30 7.32 0.01
9 1.63* 0.43 0.95 0.37 0.08 6.54 0.00
10 0.59 2.10* 0.29 0.54 0.08 6.38 0.01
11 0.61 0.70 0.44 0.39 2.30* 5.56 0.00
12 0.99 0.35 0.22 1.95* 1.34 5.15 0.00
13 0.39 0.22 0.46 2.22* 0.63 6.09 0.00
14 0.39 0.58 3.65 0.63* 0.56 4.19 0.00
15 0.29 0.35 1.05* 0.81 0.89 6.61 0.00
16 0.27 0.46 0.75 0.53* 0.37 7.63 0.00
17 1.05* 1.56 1.04 0.39 0.52 5.44 0.00
18 0.47* 0.41 0.39 0.33 0.28 8.13 0.00
19 0.94 1.43* 1.04 0.68 1.11 4.78 0.01
20 0.43 0.14 0.35 0.16 0.18* 8.73 0.00
21 0.41 0.39 0.32* 0.24 0.06 8.58 0.00
22 0.46 0.61* 0.38 0.25 0.35 7.95 0.00
23 0.72 0.28* 0.19 0.29 0.38 8.14 0.00
24 0.15 0.25* 0.22 0.24 0.08 9.06 0.00
25 0.32 0.42 0.30* 0.35 0.11 8.49 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 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
147.5 122.5 97.5
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
142.5 117.5 92.5 1
142.0 117.0 92.0 2
141.5 116.5 91.5 2
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5
139.0 114.0 89.0
138.5 113.5 88.5 1
138.0 113.0 88.0 2
137.5 112.5 87.5
137.0 112.0 87.0
136.5 111.5 86.5
136.0 111.0 86.0
135.5 110.5 85.5 2
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0 2 1
133.5 108.5 83.5
133.0 108.0 83.0 1 1
132.5 107.5 82.5
132.0 107.0 82.0
131.5 106.5 81.5 1 1
131.0 106.0 81.0 1
130.5 105.5 80.5 2
130.0 105.0 80.0 1
129.5 104.5 79.5 3
129.0 104.0 79.0 2
128.5 103.5 78.5 1
128.0 103.0 78.0
127.5 102.5 1 77.5
127.0 102.0 77.0 1 1
126.5 101.5 76.5 1
126.0 101.0 76.0 1
125.5 100.5 2 1 75.5 1 1
American Mathematics Competitions
2005 AMC 10 B Results for Arkansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 1 25.0
74.5 1 49.5 24.5 2
74.0 2 49.0 2 24.0 1 2
73.5 48.5 1 23.5
73.0 1 1 48.0 2 2 23.0
72.5 2 47.5 2 22.5
72.0 3 47.0 2 22.0
71.5 1 46.5 21.5
71.0 1 3 46.0 1 1 21.0
70.5 1 1 45.5 20.5
70.0 3 45.0 1 20.0
69.5 1 1 44.5 1 19.5
69.0 2 2 44.0 19.0
68.5 43.5 18.5
68.0 1 43.0 1 18.0 3 1
67.5 1 42.5 17.5
67.0 1 1 42.0 2 4 17.0
66.5 1 2 41.5 1 16.5
66.0 2 2 41.0 16.0
65.5 1 40.5 1 15.5
65.0 1 40.0 15.0
64.5 1 39.5 14.5
64.0 2 2 39.0 1 14.0
63.5 1 1 38.5 1 1 13.5
63.0 2 38.0 1 13.0
62.5 2 1 37.5 1 12.5
62.0 1 37.0 12.0 1 2
61.5 5 3 36.5 11.5
61.0 1 1 36.0 1 6 11.0
60.5 1 1 35.5 10.5
60.0 2 4 35.0 10.0
59.5 2 34.5 9.5
59.0 1 1 34.0 1 9.0
58.5 1 2 33.5 8.5 1
58.0 1 2 33.0 8.0
57.5 3 32.5 1 1 7.5
57.0 1 32.0 1 7.0
56.5 1 31.5 6.5
56.0 2 31.0 6.0
55.5 2 2 30.5 1 5.5
55.0 1 30.0 3 1 5.0
54.5 29.5 1 4.5
54.0 3 1 29.0 4.0
53.5 1 2 28.5 1 3.5
53.0 3 28.0 3.0
52.5 2 2 27.5 2.5
52.0 2 27.0 2.0
51.5 2 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
102.5 1
100.5 2 1
94.5 1
93.5 1
92.5 1
92.0 1 1
91.5 2
88.5 1
88.0 2
85.5 2
84.5 1
84.0 3
83.0 1 1
81.5 1 1
81.0 1
80.5 2
80.0 1
79.5 1 2
79.0 2
78.5 1
77.0 1 1
76.5 1
76.0 1
75.5 2
75.0 2
74.5 1
74.0 2
73.0 1 1
72.5 1 1
72.0 1 2
71.5 1
71.0 1 3
70.5 1 1
70.0 3 2
69.5 2
69.0 2 3
68.0 1
67.5 1
67.0 2 1
66.5 2 1
66.0 1 3
65.5 2
65.0 1
64.5 1
64.0 2 2
63.5 1 1
63.0 1 1
62.5 3
62.0 1
61.5 1 7
61.0 2
60.5 1 2
60.0 4 2
59.5 2
59.0 1 1
58.5 2 1
58.0 2 1
57.5 3
57.0 1
56.5 1 1
56.0 1 1
55.5 2 2
55.0 1
54.0 2 2
53.5 3
53.0 1 2
52.5 2 2
52.0 3
51.5 2
51.0 1
50.5 1
50.0 1
49.0 1 1
48.5 1
48.0 2 2
47.5 2
47.0 2
46.0 1 1
45.0 1
44.5 1
43.5 1
43.0 1
42.0 1 4 1
41.5 1
40.5 1
39.0 1
38.5 2
38.0 1
37.5 1
36.0 3 4
34.0 1
32.5 1 1
32.0 1
30.5 1
30.0 1 4
29.5 1
28.5 1
25.5 1
24.5 1 1
24.0 2 1 1
18.0 3 1 1
12.0 2 1
8.5 1
American Mathematics Competitions
2005 AMC 10 B Results for Arkansas
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 6.10* 0.70 0.75 0.35 1.80 0.31 0.00
2 0.83 0.96 0.57 5.26* 0.79 1.58 0.00
3 0.09 1.32 4.96 2.59* 0.70 0.35 0.00
4 1.23 0.31 1.10 2.02* 0.61 4.74 0.00
5 0.22 0.39 6.36* 0.79 1.45 0.79 0.00
6 0.48 6.05* 0.57 0.61 0.70 1.58 0.00
7 1.01 0.70* 0.79 1.10 0.48 5.92 0.00
8 3.20* 0.39 1.32 0.22 0.44 4.43 0.00
9 0.79 0.75 3.68 2.37* 0.92 1.49 0.00
10 1.14* 0.61 1.05 1.23 0.48 5.48 0.00
11 0.48 0.66 0.57 1.49 1.40* 5.39 0.00
12 1.36 2.54 0.48 0.31 0.18* 5.09 0.04
13 1.01 1.10 1.01* 1.23 0.83 4.82 0.00
14 0.57 0.57 1.40* 1.67 0.79 4.96 0.04
15 2.37 0.96 0.53 3.07* 1.36 1.71 0.00
16 0.79 0.96 1.05 0.35* 0.22 6.62 0.00
17 1.49 1.45* 1.40 0.53 0.31 4.82 0.00
18 0.79 5.00 0.83 1.14* 0.92 1.32 0.00
19 0.66 3.95* 0.53 1.01 1.40 2.46 0.00
20 1.40 0.53 1.23* 0.61 0.35 5.88 0.00
21 1.05* 0.96 0.53 0.53 0.26 6.67 0.00
22 1.18 1.36 0.48* 0.26 1.01 5.70 0.00
23 2.19 0.79 0.66* 0.88 0.26 5.22 0.00
24 0.75 0.48 0.57 1.10 0.57* 6.54 0.00
25 1.10 0.39 2.32* 0.61 0.39 5.18 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 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 1 2
149.0 124.0 99.0
148.5 123.5 98.5 1 1
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 96.5 1
146.0 121.0 96.0 2 1
145.5 120.5 95.5
145.0 120.0 95.0 2
144.5 119.5 94.5
144.0 119.0 94.0 1
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 2 2
142.0 117.0 92.0
141.5 116.5 91.5 1 2
141.0 116.0 91.0 2
140.5 115.5 90.5
140.0 115.0 90.0 2
139.5 114.5 89.5
139.0 114.0 89.0 4 1
138.5 113.5 88.5
138.0 113.0 88.0 2
137.5 112.5 1 87.5 1
137.0 112.0 87.0 3 3
136.5 111.5 86.5 3 1
136.0 111.0 86.0 1
135.5 110.5 85.5 5
135.0 110.0 1 85.0 1
134.5 109.5 84.5 1 1
134.0 109.0 84.0 3
133.5 108.5 83.5
133.0 108.0 3 2 83.0 3 1
132.5 107.5 1 82.5 1
132.0 107.0 82.0 3
131.5 106.5 1 81.5
131.0 106.0 81.0 3 2
130.5 105.5 1 1 80.5 1
130.0 1 105.0 80.0 1 1
129.5 104.5 79.5 2
129.0 104.0 1 79.0
128.5 103.5 78.5 3 1
128.0 103.0 1 78.0 2
127.5 102.5 77.5
127.0 102.0 2 77.0 2
126.5 101.5 76.5 4 1
126.0 101.0 1 1 76.0 1
125.5 100.5 75.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Arkansas
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 4 49.5 1 24.5
74.0 2 49.0 24.0
73.5 5 1 48.5 2 23.5
73.0 2 48.0 2 23.0
72.5 3 1 47.5 1 22.5
72.0 47.0 22.0 1
71.5 2 46.5 1 1 21.5
71.0 1 46.0 21.0
70.5 2 1 45.5 1 20.5
70.0 1 45.0 20.0
69.5 1 2 44.5 19.5
69.0 1 1 44.0 19.0
68.5 2 43.5 3 1 18.5
68.0 2 43.0 18.0
67.5 1 2 42.5 1 17.5
67.0 3 2 42.0 17.0
66.5 1 41.5 16.5
66.0 2 1 41.0 16.0
65.5 40.5 15.5
65.0 1 40.0 1 15.0
64.5 2 39.5 1 14.5
64.0 2 2 39.0 14.0
63.5 3 38.5 13.5
63.0 1 1 38.0 1 13.0
62.5 1 1 37.5 12.5
62.0 3 3 37.0 12.0
61.5 1 36.5 11.5
61.0 3 36.0 1 2 11.0
60.5 35.5 1 10.5
60.0 3 35.0 10.0
59.5 1 2 34.5 9.5
59.0 1 2 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 2 32.0 7.0
56.5 2 2 31.5 6.5
56.0 1 1 31.0 1 6.0
55.5 1 30.5 5.5
55.0 30.0 1 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 3 1 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 1 2.0
51.5 3 3 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Arkansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 1
112.5 1
112.0 1
110.0 1 1 1
108.0 2 3 1
107.5 1
106.5 1 1
105.5 1 1
104.0 1
103.0 1
102.0 1 1
101.0 1 2
99.5 3
98.5 2
98.0 1
97.5 1
97.0 1
96.5 1
96.0 1 1 1 1
95.0 1 1
94.0 1
93.5 1
92.5 1 3
91.5 3
91.0 2
90.0 2
89.0 1 1 3
88.0 1 1
87.5 1 1
87.0 3 3
86.5 1 1 2
86.0 1
85.5 3 2
85.0 1
84.5 1 1
84.0 1 2
83.0 3 1
82.5 1
82.0 3
81.0 3 2
80.5 1
80.0 1 1
79.5 2 1
78.5 2 2
78.0 2
77.0 1 1
76.5 3 2
76.0 1
75.5 1
75.0 1 1 2
74.5 2 2
74.0 2
73.5 4 2
73.0 2
72.5 4
71.5 1 1
71.0 2
70.5 1 1 1
70.0 1
69.5 3
69.0 2 1
68.5 2
68.0 1 1
67.5 1 2
67.0 5
66.5 1
66.0 2 1
65.0 1
64.5 2
64.0 4
63.5 2 1
63.0 1 1
62.5 1 1
62.0 3 3
61.5 1
61.0 1 2
60.0 3
59.5 1 2
59.0 3
58.5 1
58.0 1
57.0 2
56.5 2 2
56.0 2
55.5 1
54.5 1
54.0 1
53.5 1 1
53.0 2 2
52.5 1
52.0 1
51.5 4 2
51.0 1
50.5 1 1
50.0 2
49.5 1 1
48.5 1 1
48.0 1 1
47.5 1
46.5 1 1
45.5 1
43.5 3 1
42.5 1
40.0 1
39.5 1
38.0 1
36.0 2 1
35.5 1
31.0 1
30.0 1
27.0 1
22.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Arkansas
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 7.88* 0.42 0.38 0.23 0.92 0.15 0.00
2 0.15 0.42 0.50 7.00* 0.73 1.19 0.00
3 0.23 0.31 7.35* 0.31 0.69 1.12 0.00
4 0.08 7.42* 0.54 0.31 0.42 1.23 0.00
5 4.96* 0.15 1.12 0.15 0.12 3.50 0.00
6 2.08* 1.04 0.85 0.27 0.31 5.46 0.00
7 1.00 1.50 0.46 1.46* 0.27 5.31 0.00
8 0.81 1.92 2.69* 0.00 1.00 3.58 0.00
9 0.35 6.46* 0.38 0.46 0.46 1.85 0.04
10 0.15 0.31 0.31 1.62 2.50* 5.12 0.00
11 2.00 0.81 0.62 4.15* 0.50 1.92 0.00
12 0.31 1.00 0.92 0.62* 0.12 7.04 0.00
13 0.58 0.35 0.42 1.38* 0.31 6.96 0.00
14 0.38 0.73 0.85 0.38 1.04* 6.62 0.00
15 1.00 0.46 0.31 3.77* 0.65 3.77 0.04
16 0.38 0.35 0.65 0.23* 0.08 8.31 0.00
17 0.23 0.69* 0.54 0.12 1.04 7.38 0.00
18 1.08 0.62 0.58* 0.42 0.12 7.19 0.00
19 0.31 0.35 0.23 0.77 1.15* 7.19 0.00
20 0.31 0.62 3.19* 0.46 1.77 3.65 0.00
21 0.19 0.35 0.81* 0.42 0.38 7.85 0.00
22 0.58 0.46 0.23 0.27 0.19* 8.27 0.00
23 0.19 0.15* 0.42 0.23 0.15 8.85 0.00
24 0.46* 0.38 0.54 0.27 0.15 8.19 0.00
25 0.42* 0.62 0.27 0.31 0.65 7.73 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column