American Mathematics Competitions
2005 AMC 10 A Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1262
Number of unofficial participants: 55
Average score of participants: 72.2
Average score for female students is: 68.4 ( 563 Students)
Average score for male students is: 75.7 ( 642 Students)
Average score for unspecified gender is 70.2 ( 57 Students)
Average score for grade 10 is: 71.3 ( 691 Students)
Average score for grade 9 is: 70.5 ( 463 Students)
Average score for grade 8 and below is: 89.5 ( 89 Students)
Average score with unknown grade: 63.9 ( 19 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 19
Number of schools returning results 46
Average school winning score 107.14
American Mathematics Competitions
2005 AMC 12 A Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1787
Number of unofficial participants: 0
Average score of participants: 77.3
Average score for female students is: 73.6 ( 721 Students)
Average score for male students is: 80.3 ( 1001 Students)
Average score for unspecified gender is 72.0 ( 65 Students)
Average score for grade 13 is: 87.8 ( 2 Students)
Average score for grade 12 is: 79.2 ( 641 Students)
Average score for grade 11 is: 74.6 ( 829 Students)
Average score for grade 10 is: 79.4 ( 219 Students)
Average score for grade 9 is: 85.8 ( 66 Students)
Average score for grade 8 and below is: 77.8 ( 5 Students)
Average score with unknown grade: 74.3 ( 25 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 163
Number of schools returning results 49
Average school winning score 108.47
Average school team score 297.96
American Mathematics Competitions
2005 AMC 10 B Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1027
Number of unofficial participants: 5
Average score of participants: 76.7
Average score for female students is: 74.8 ( 409 Students)
Average score for male students is: 79.7 ( 458 Students)
Average score for unspecified gender is 73.2 ( 160 Students)
Average score for grade 10 is: 78.0 ( 577 Students)
Average score for grade 9 is: 75.1 ( 355 Students)
Average score for grade 8 and below is: 94.1 ( 7 Students)
Average score with unknown grade: 73.3 ( 88 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 12
Number of schools returning results 38
Average school winning score 110.86
American Mathematics Competitions
2005 AMC 12 B Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1201
Number of unofficial participants: 5
Average score of participants: 82.5
Average score for female students is: 79.4 ( 445 Students)
Average score for male students is: 84.8 ( 664 Students)
Average score for unspecified gender is 81.3 ( 92 Students)
Average score for grade 13 is: 30.0 ( 1 Student)
Average score for grade 12 is: 82.2 ( 444 Students)
Average score for grade 11 is: 81.7 ( 588 Students)
Average score for grade 10 is: 87.1 ( 89 Students)
Average score for grade 9 is: 88.6 ( 24 Students)
Average score for grade 8 and below is: 96.0 ( 1 Student)
Average score with unknown grade: 84.2 ( 54 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 116
Number of schools returning results 41
Average school winning score 109.56
Average school team score 301.68
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
408.5 1 1
396.0 1 2
379.0 1 3
377.0 1 4
376.0 1 5
370.0 1 6
369.0 1 7
367.0 1 8
354.0 1 9
353.0 1 10
352.0 1 11
340.0 1 12
339.0 1 13
338.5 2 14
334.5 1 16
332.5 1 17
332.0 1 18
330.5 1 19
328.5 1 20
328.0 1 21
326.5 1 22
323.5 1 23
322.5 1 24
322.0 1 25
321.0 1 26
318.0 1 27
317.5 1 28
316.5 1 2 29
314.5 1 32
312.0 2 1 33
311.0 1 36
310.5 2 1 37
310.0 1 1 40
308.5 1 42
307.0 2 2 43
305.0 2 47
302.5 1 49
301.5 1 50
301.0 1 51
300.5 1 52
297.5 2 2 53
295.0 2 57
294.0 1 59
293.0 1 60
292.5 1 1 61
290.5 1 63
288.5 2 64
288.0 1 66
285.5 1 67
281.5 1 68
281.0 1 69
276.5 1 70
276.0 1 71
275.5 1 72
271.0 1 73
270.0 1 74
269.0 1 75
263.5 1 76
258.0 1 77
254.0 1 78
253.5 1 79
252.5 1 80
247.5 1 81
243.0 1 82
234.5 1 83
226.5 1 84
223.0 1 85
218.5 1 86
203.0 1 87
184.0 1 88
113.5 1 89
91.5 1 90
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1 1
144.0 1 1 1
143.0 1
138.0 1 1
136.0 1 1
134.5 1
133.5 2 1
132.5 1
132.0 1 1
131.0 1 1 1
130.0 1
129.0 3 1
128.5 1 3
127.5 2 1
126.5 1 3 2
126.0 2
125.5 2 1
124.0 1
123.0 2
122.5 2
122.0 3 1
121.5 1 1 2
120.5 2 1 1 2
119.5 2 1
119.0 2
118.5 4 1
118.0 1 1 2 1
117.0 3 2 1
116.5 1 1
116.0 2 3 1 2
115.5 1 1
115.0 10 2 1
114.5 1 1 2 2
113.5 4 2 7
112.5 4 2 1 2
112.0 1 4
111.5 3 6 1 5
111.0 1 2 3
110.5 1
110.0 4 1 7 5
109.5 2 3 1
109.0 8 5 2 4
108.5 1 6 1
108.0 15 3 2 2
107.5 2 3 3
107.0 1
106.5 7 3 3 4
106.0 1 2
105.5 12 15 3 2
105.0 1 1 3
104.5 5 8 2
104.0 6 4 6 2
103.5 1
103.0 5 7 4 6
102.5 2
102.0 20 14 4 6
101.5 1 2 7 2
101.0 20 9 1 5
100.5 4 7 6 5
100.0 1 4 1
99.5 7 10 11 4
99.0 1 5 2 1
98.5 21 16 5 5
98.0 3 6 3 10
97.5 8 3 5 2
97.0 12 7 4 3
96.5 1 1 1 2
96.0 26 33 8 9
95.5 1 5 3 4
95.0 41 33 3 9
94.5 10 2 4 5
94.0 9 12 3 4
93.5 6 13 7 12
93.0 3 1 1
92.5 21 25 10 9
92.0 6 5 3 4
91.5 19 15 9 11
91.0 9 14 9 9
90.5 18 11 3 8
90.0 20 35 12 9
89.5 3 5 1
89.0 35 34 11 15
88.5 6 6 7 6
88.0 28 22 9 8
87.5 10 14 3 15
87.0 19 10 5 7
86.5 16 31 11 21
86.0 4 2 5 18
85.5 33 21 12 10
85.0 10 12 3 12
84.5 25 22 8 11
84.0 14 34 9 13
83.5 12 9 4 7
83.0 40 38 19 20
82.5 5 9 3 9
82.0 26 15 13 16
81.5 4 15 10 18
81.0 21 16 11 7
80.5 17 25 12 14
80.0 17 11 10 9
79.5 29 20 14 14
79.0 8 4 4 10
78.5 42 23 23 5
78.0 10 20 11 28
77.5 23 15 14 9
77.0 32 28 8 16
76.5 22 12 9 10
76.0 22 20 11 11
75.5 10 11 4 14
75.0 35 14 20 9
74.5 12 18 9 13
74.0 28 6 16 12
73.5 23 13 12 13
73.0 18 9 6 10
72.5 35 8 21 13
72.0 6 16 19 20
71.5 36 11 19 16
71.0 25 18 10 15
70.5 29 8 18 6
70.0 21 7 16 11
69.5 13 8 9 13
69.0 25 7 20 7
68.5 14 10 22 13
68.0 27 9 13 7
67.5 20 10 13 11
67.0 13 10 9 7
66.5 22 7 20 10
66.0 13 9 14 16
65.5 22 7 15 3
65.0 21 8 15 10
64.5 16 4 11 5
64.0 14 8 17 6
63.5 12 4 3 12
63.0 10 4 18 3
62.5 14 4 12 11
62.0 16 3 11 9
61.5 19 2 18 3
61.0 9 3 10 1
60.5 21 3 20 11
60.0 13 5 14 4
59.5 7 12 10
59.0 15 3 19 7
58.5 11 6 12 7
58.0 11 3 12 3
57.5 3 4 7 9
57.0 11 3 9 3
56.5 10 2 9 6
56.0 9 4 5 3
55.5 14 4 10 4
55.0 3 2 4 5
54.5 11 10 4
54.0 9 2 19 8
53.5 6 2 8 1
53.0 6 2 4 3
52.5 6 1 2 2
52.0 5 1 11 3
51.5 5 4 7 4
51.0 7 1 7 6
50.5 4 2 9 3
50.0 1 5 7
49.5 6 1 8 1
49.0 3 1 7 2
48.5 6 7 1
48.0 3 4 14 6
47.5 3 8 5
47.0 5 1 6 3
46.5 1 4 2
46.0 2 1 3 4
45.5 7 1 5 3
45.0 2 1 6 2
44.5 4 1 7 2
44.0 2 4
43.5 4 3
43.0 2 3 1
42.5 1 2 2
42.0 6 4 7 7
41.5 1 1
41.0 2 1 4 1
40.5 1
40.0 1 1 1 1
39.5 1 1 2 1
39.0 2 1 2
38.5 1 3 5 3
38.0 2 2
37.5 1
37.0 2 1 1
36.5 1
36.0 8 4 6 2
35.5 1 2
35.0 3
34.5 2 4
34.0 1 1
32.5 1
32.0 1
31.0 1
30.0 4 2 6 2
29.5 1
29.0 1 1
28.5 1
27.0 1
26.5 1 1
26.0 1
25.5 1
24.5 1
24.0 2 4 2
23.5 1
18.0 4 1
12.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 1 1
149.5 124.5 99.5 7 4
149.0 124.0 99.0 1 1
148.5 123.5 98.5 3 2
148.0 123.0 98.0 1 1
147.5 122.5 1 1 97.5 3 2
147.0 122.0 97.0 2 2
146.5 121.5 2 96.5 1
146.0 121.0 96.0 5 2
145.5 120.5 1 95.5 3
145.0 120.0 95.0 3
144.5 119.5 94.5 2 2
144.0 1 119.0 2 94.0 1 2
143.5 118.5 93.5 5 2
143.0 118.0 1 1 93.0 1
142.5 117.5 92.5 9
142.0 117.0 2 92.0 2 1
141.5 116.5 1 91.5 8 1
141.0 116.0 1 91.0 6 2
140.5 115.5 1 90.5 2
140.0 115.0 1 90.0 7 4
139.5 114.5 2 89.5 5
139.0 114.0 89.0 7 4
138.5 113.5 6 1 88.5 5 1
138.0 113.0 88.0 5 4
137.5 112.5 1 87.5 1 2
137.0 112.0 4 87.0 5
136.5 111.5 1 86.5 5 5
136.0 111.0 2 86.0 2 1
135.5 110.5 1 85.5 7 4
135.0 110.0 6 1 85.0 2 1
134.5 109.5 2 1 84.5 4 4
134.0 109.0 2 84.0 7 2
133.5 1 1 108.5 5 1 83.5 4
133.0 108.0 1 1 83.0 9 9
132.5 107.5 3 82.5 3
132.0 1 107.0 1 82.0 4 9
131.5 106.5 2 1 81.5 5 5
131.0 1 106.0 1 81.0 6 5
130.5 105.5 3 80.5 8 3
130.0 105.0 1 80.0 7 2
129.5 104.5 79.5 7 6
129.0 104.0 3 3 79.0 4
128.5 3 103.5 78.5 13 10
128.0 103.0 2 2 78.0 3 7
127.5 102.5 1 1 77.5 4 10
127.0 102.0 2 2 77.0 4 4
126.5 2 101.5 3 4 76.5 7 2
126.0 2 101.0 1 76.0 2 9
125.5 100.5 3 2 75.5 3
American Mathematics Competitions
2005 AMC 10 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 9 10 50.0 4 25.0
74.5 6 3 49.5 5 3 24.5 1
74.0 5 9 49.0 5 2 24.0 3
73.5 5 5 48.5 4 2 23.5 1
73.0 2 3 48.0 4 9 23.0
72.5 8 11 47.5 3 5 22.5
72.0 7 11 47.0 3 3 22.0
71.5 5 14 46.5 4 21.5
71.0 5 5 46.0 1 2 21.0
70.5 8 9 45.5 3 1 20.5
70.0 10 6 45.0 1 5 20.0
69.5 6 3 44.5 5 2 19.5
69.0 15 5 44.0 3 1 19.0
68.5 9 13 43.5 3 1 18.5
68.0 7 6 43.0 3 18.0 1 3
67.5 3 9 42.5 2 17.5
67.0 5 4 42.0 6 1 17.0
66.5 8 12 41.5 1 16.5
66.0 6 8 41.0 2 1 16.0
65.5 8 7 40.5 15.5
65.0 6 8 40.0 1 15.0
64.5 4 6 39.5 2 14.5
64.0 12 5 39.0 1 14.0
63.5 2 1 38.5 1 3 13.5
63.0 7 9 38.0 2 13.0
62.5 8 4 37.5 12.5
62.0 6 5 37.0 1 12.0
61.5 6 10 36.5 11.5
61.0 3 7 36.0 3 2 11.0
60.5 4 16 35.5 10.5
60.0 7 7 35.0 2 10.0
59.5 5 7 34.5 1 3 9.5
59.0 8 10 34.0 9.0
58.5 4 8 33.5 8.5
58.0 7 4 33.0 8.0
57.5 3 4 32.5 7.5
57.0 5 3 32.0 7.0
56.5 3 5 31.5 6.5
56.0 3 2 31.0 6.0
55.5 6 4 30.5 5.5
55.0 1 3 30.0 1 5 5.0
54.5 5 5 29.5 4.5
54.0 7 11 29.0 4.0
53.5 3 5 28.5 3.5
53.0 2 2 28.0 3.0
52.5 2 27.5 2.5
52.0 1 9 27.0 2.0
51.5 2 5 26.5 1.5
51.0 6 26.0 1.0
50.5 5 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
133.5 1 1
132.0 1
131.0 1
128.5 2 1
126.5 2 1
126.0 2
122.5 1 1
121.5 2
120.5 1
119.0 1 1
118.0 1 1
117.0 1 1
116.5 1
116.0 1
115.5 1
115.0 1
114.5 1 1
113.5 1 2 4
112.5 1
112.0 1 1 2
111.5 1
111.0 2
110.5 1
110.0 1 1 2 3
109.5 2 1
109.0 2
108.5 1 1 2 2
108.0 1 1
107.5 3
107.0 1
106.5 1 2
106.0 1 1
105.5 1 2
105.0 1
104.0 1 3 2
103.0 1 3
102.5 1 1
102.0 1 1 2
101.5 1 2 4
101.0 1
100.5 1 1 1 1 2
100.0 1 1 2
99.5 1 6 4
99.0 1 1
98.5 2 3
98.0 1 1 1
97.5 1 1 3
97.0 3 1
96.5 1
96.0 1 7
95.5 2 1
95.0 1 2
94.5 1 3
94.0 2 1
93.5 3 4
93.0 1
92.5 1 1 5 3
92.0 1 1 1
91.5 4 5
91.0 1 2 6
90.5 1 2
90.0 1 1 5 5
89.5 1 3 1
89.0 6 5
88.5 3 4
88.0 1 3 5
87.5 1 2
87.0 2 3
86.5 6 4 1
86.0 1 1 2 1
85.5 7 5
85.0 2 1
84.5 1 3 4
84.0 1 1 4 3
83.5 1 3
83.0 1 2 2 13 1
82.5 1 1 1
82.0 5 8
81.5 5 5
81.0 1 3 7
80.5 8 4
80.0 1 4 4 1
79.5 1 4 9
79.0 1 1 2
78.5 7 16
78.0 1 4 6
77.5 1 3 10
77.0 5 3
76.5 2 3 4
76.0 3 8
75.5 1 3
75.0 1 10 9
74.5 4 5
74.0 5 10 1
73.5 5 7
73.0 6
72.5 1 8 11 1
72.0 1 6 11 1
71.5 5 14
71.0 1 9
70.5 9 9
70.0 1 5 10
69.5 1 3 5
69.0 8 12
68.5 15 7
68.0 4 9
67.5 2 4 7
67.0 4 5
66.5 7 13
66.0 1 1 3 9
65.5 7 8
65.0 1 7 7
64.5 5 6
64.0 7 9 1
63.5 2 1
63.0 4 12 2
62.5 1 5 6
62.0 1 4 6
61.5 5 12 1
61.0 1 5 4
60.5 1 7 12
60.0 1 8 5
59.5 4 8
59.0 6 12 1
58.5 1 2 9
58.0 6 6
57.5 5 2
57.0 2 7
56.5 4 5
56.0 3 2
55.5 1 5 4
55.0 1 3
54.5 4 6
54.0 2 4 12 1
53.5 2 6
53.0 2 2
52.5 2
52.0 1 5 5
51.5 2 5
51.0 2 5
50.5 5 4
50.0 4 1
49.5 1 7
49.0 4 3
48.5 3 4
48.0 2 12
47.5 6 2
47.0 1 2 3
46.5 3 1
46.0 3
45.5 1 4
45.0 1 5
44.5 3 3 1
44.0 3 1
43.5 3 1
43.0 3
42.5 1 1
42.0 5 2
41.5 1
41.0 2 2
40.0 1
39.5 2
39.0 1
38.5 2 3
38.0 2
37.5 1
37.0 1
36.0 6
35.5 1
35.0 3
34.5 3 1
30.0 5 1
24.5 1
24.0 2 1 1
23.5 1
18.0 1 3
American Mathematics Competitions
2005 AMC 10 A Results for Washington
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 0.30 0.11 0.24 8.53* 0.59 0.24 0.00
2 0.10 0.17 5.16* 0.10 1.50 2.96 0.00
3 0.07 8.41* 0.50 0.37 0.19 0.46 0.00
4 0.47 1.81* 2.07 0.61 0.62 4.42 0.00
5 5.67* 0.45 3.46 0.15 0.04 0.22 0.01
6 0.32 4.56* 3.28 0.15 0.14 1.54 0.00
7 0.70 3.60* 0.36 0.55 0.94 3.84 0.01
8 1.18 0.34 3.66* 0.15 0.11 4.56 0.00
9 1.32 5.79* 1.00 0.22 0.16 1.51 0.00
10 1.71* 0.33 1.18 0.36 0.16 6.26 0.00
11 0.57 2.50* 0.24 0.83 0.10 5.77 0.00
12 0.33 1.16* 0.45 0.25 0.63 7.18 0.00
13 1.35 0.60 0.36 0.44 0.97* 6.27 0.00
14 0.74 0.52 0.52 0.52 2.19* 5.53 0.00
15 0.39 0.79 0.63 1.01 1.22* 5.96 0.00
16 0.82 0.33 0.61 1.88* 0.14 6.21 0.00
17 0.32 0.35 0.47 2.03* 0.41 6.41 0.01
18 1.27* 1.71 1.16 3.53 0.26 2.07 0.00
19 0.45 0.75 0.81 3.10* 0.50 4.39 0.00
20 0.64* 0.33 0.63 0.44 0.48 7.48 0.00
21 1.58 0.70* 0.33 0.34 0.58 6.47 0.00
22 0.67 0.55 0.30 2.34* 0.48 5.65 0.01
23 0.21 0.40 1.29* 1.06 0.90 6.12 0.01
24 1.08 0.88* 0.38 0.21 0.09 7.36 0.00
25 0.40 0.59 0.91 0.91* 0.11 7.07 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
2005 AMC 12 A Results for Washington
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 6 1
149.0 124.0 1 99.0 1
148.5 123.5 98.5 12 8
148.0 123.0 2 98.0 2 1
147.5 122.5 97.5 6 2
147.0 122.0 2 1 97.0 10 2
146.5 121.5 1 96.5 1
146.0 121.0 96.0 19 7
145.5 120.5 2 95.5 1
145.0 120.0 95.0 22 16
144.5 119.5 2 94.5 9 1
144.0 1 119.0 94.0 5 4
143.5 118.5 4 93.5 5 1
143.0 1 118.0 1 93.0
142.5 117.5 92.5 14 7
142.0 117.0 92.0 6
141.5 116.5 91.5 11 8
141.0 116.0 2 91.0 7 2
140.5 115.5 90.5 7 9
140.0 115.0 9 1 90.0 17 2
139.5 114.5 1 89.5
139.0 114.0 89.0 25 10
138.5 113.5 4 88.5 5 1
138.0 1 113.0 88.0 12 14
137.5 112.5 4 87.5 9 1
137.0 112.0 87.0 10 8
136.5 111.5 2 1 86.5 9 6
136.0 1 111.0 86.0 2 2
135.5 110.5 85.5 18 14
135.0 110.0 4 85.0 9 1
134.5 109.5 84.5 18 7
134.0 109.0 6 2 84.0 10 4
133.5 108.5 83.5 9 3
133.0 108.0 10 5 83.0 27 12
132.5 1 107.5 1 1 82.5 4 1
132.0 107.0 82.0 13 11
131.5 106.5 3 2 81.5 3
131.0 1 106.0 81.0 10 11
130.5 105.5 6 6 80.5 10 6
130.0 1 105.0 80.0 9 8
129.5 104.5 3 2 79.5 20 7
129.0 3 104.0 5 1 79.0 4 2
128.5 1 103.5 78.5 22 18
128.0 103.0 4 1 78.0 7 3
127.5 102.5 77.5 14 8
127.0 102.0 13 7 77.0 21 11
126.5 101.5 1 76.5 10 11
126.0 101.0 11 9 76.0 10 11
125.5 2 100.5 3 1 75.5 4 5
American Mathematics Competitions
2005 AMC 12 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 16 13 50.0 1 25.0
74.5 8 4 49.5 4 2 24.5
74.0 14 14 49.0 2 1 24.0 2
73.5 14 9 48.5 2 3 23.5
73.0 9 9 48.0 1 2 23.0
72.5 13 22 47.5 2 1 22.5
72.0 4 2 47.0 2 2 22.0
71.5 16 17 46.5 1 21.5
71.0 15 10 46.0 1 1 21.0
70.5 13 16 45.5 4 3 20.5
70.0 10 11 45.0 1 1 20.0
69.5 9 4 44.5 1 2 19.5
69.0 14 11 44.0 1 19.0
68.5 6 7 43.5 18.5
68.0 10 16 43.0 1 1 18.0
67.5 9 10 42.5 1 17.5
67.0 7 6 42.0 2 4 17.0
66.5 12 9 41.5 1 16.5
66.0 8 4 41.0 1 1 16.0
65.5 7 14 40.5 15.5
65.0 12 9 40.0 1 15.0
64.5 9 7 39.5 1 14.5
64.0 9 4 39.0 2 14.0
63.5 7 4 38.5 13.5
63.0 4 4 38.0 1 1 13.0
62.5 6 7 37.5 12.5
62.0 7 8 37.0 1 1 12.0
61.5 7 12 36.5 11.5
61.0 2 6 36.0 3 4 11.0
60.5 9 11 35.5 10.5
60.0 5 8 35.0 10.0
59.5 3 4 34.5 2 9.5
59.0 8 7 34.0 1 9.0
58.5 3 7 33.5 8.5
58.0 6 5 33.0 8.0
57.5 3 32.5 7.5
57.0 5 5 32.0 1 7.0
56.5 4 6 31.5 6.5
56.0 1 7 31.0 1 6.0
55.5 4 9 30.5 5.5
55.0 3 30.0 2 1 5.0
54.5 6 5 29.5 1 4.5
54.0 7 2 29.0 1 4.0
53.5 2 4 28.5 1 3.5
53.0 1 4 28.0 3.0
52.5 1 4 27.5 2.5
52.0 2 3 27.0 2.0
51.5 2 3 26.5 1 1.5
51.0 5 2 26.0 1 1.0
50.5 3 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
144.0 1
143.0 1
138.0 1
136.0 1
132.5 1
131.0 1
130.0 1
129.0 1 2
128.5 1
125.5 1 1
124.0 1
123.0 2
122.0 2 1
121.5 1
120.5 1 1
119.5 1 1
118.5 1 3
118.0 1
116.0 1 1
115.0 3 5 2
114.5 1
113.5 2 2
112.5 1 1 2
111.5 1 1 1
110.0 2 2
109.0 1 3 4
108.0 2 6 7
107.5 2
106.5 1 2 4
105.5 1 7 4
104.5 1 1 3
104.0 1 3 2
103.0 1 1 1 2
102.0 1 1 1 5 12
101.5 1
101.0 4 6 3 7
100.5 1 3
100.0 1
99.5 1 3 3
99.0 1
98.5 1 7 5 7 1
98.0 1 1 1
97.5 1 2 5
97.0 8 4
96.5 1
96.0 1 2 14 8 1
95.5 1
95.0 5 7 8 21
94.5 1 2 3 4
94.0 1 1 6 1
93.5 2 3 1
92.5 2 6 12 1
92.0 1 5
91.5 3 1 8 6 1
91.0 1 4 4
90.5 1 2 8 7
90.0 1 1 11 6 1
89.0 4 16 15
88.5 1 3 2
88.0 2 2 14 10
87.5 3 4 3
87.0 2 10 5 2
86.5 2 3 8 3
86.0 1 1 2
85.5 1 3 12 15 2
85.0 1 3 6
84.5 6 11 8
84.0 3 6 5
83.5 1 2 3 6
83.0 4 5 12 19
82.5 3 2
82.0 3 12 9 2
81.5 1 1 2
81.0 2 4 9 6
80.5 2 2 5 8
80.0 7 10
79.5 1 5 12 11
79.0 1 4 3
78.5 1 6 20 15
78.0 1 3 2 4
77.5 2 4 9 7 1
77.0 4 3 13 11 1
76.5 3 14 5
76.0 1 2 10 8 1
75.5 2 6 2
75.0 1 3 18 11 2
74.5 2 8 2
74.0 1 1 17 9
73.5 1 3 9 10
73.0 8 10
72.5 1 4 13 16 1
72.0 2 3 1
71.5 1 2 20 12 1
71.0 7 10 8
70.5 6 18 5
70.0 1 3 13 4
69.5 1 7 5
69.0 2 3 13 6 1
68.5 1 7 6
68.0 2 18 7
67.5 1 11 8
67.0 7 6
66.5 3 11 8
66.0 7 6
65.5 2 2 14 4
65.0 1 4 9 7
64.5 1 5 10
64.0 1 8 4 1
63.5 4 4 4
63.0 1 7 1 1
62.5 1 9 3 1
62.0 1 1 7 6 1
61.5 1 9 9
61.0 2 5 1 1
60.5 3 13 4 1
60.0 1 8 4
59.5 5 2
59.0 3 9 3
58.5 2 6 3
58.0 1 3 7
57.5 1 2
57.0 2 8 1
56.5 2 6 2
56.0 1 6 2
55.5 1 7 6
55.0 3
54.5 1 3 7
54.0 1 5 3
53.5 1 3 1 1
53.0 2 2 2
52.5 5 1
52.0 3 2
51.5 5
51.0 3 4
50.5 2 2
50.0 1
49.5 5 1
49.0 3
48.5 4 2
48.0 2 1
47.5 2 1
47.0 3 2
46.5 1
46.0 1 1
45.5 1 6
45.0 1 1
44.5 1 3
44.0 1 1
43.0 1 1
42.5 1
42.0 2 4
41.5 1
41.0 2
40.0 1
39.5 1
39.0 2
38.5 1
38.0 1 1
37.0 2
36.0 1 1 5 1
34.5 2
34.0 1
32.0 1
31.0 1
30.0 1 2 1
29.5 1
29.0 1
28.5 1
26.5 1
26.0 1
24.0 1 1
American Mathematics Competitions
2005 AMC 12 A Results for Washington
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 0.08 0.07 0.17 9.21* 0.12 0.36 0.00
2 0.03 9.17* 0.20 0.29 0.06 0.25 0.00
3 0.36 3.44* 1.28 0.42 0.47 4.03 0.00
4 6.53* 0.31 2.85 0.07 0.05 0.18 0.00
5 0.29 6.52* 1.80 0.12 0.09 1.18 0.00
6 0.42 4.45* 0.25 0.36 0.81 3.72 0.00
7 0.53 0.21 6.27* 0.15 0.07 2.76 0.00
8 0.29 0.44 0.30 1.89* 0.18 6.89 0.00
9 2.94* 0.39 0.72 0.21 0.16 5.58 0.00
10 0.36 2.99* 0.17 0.39 0.07 6.00 0.01
11 1.03 0.31 0.31 0.34 3.06* 4.96 0.00
12 0.87 0.22 0.20 3.02* 1.20 4.48 0.00
13 0.10 0.21 0.38 2.23* 0.32 6.76 0.01
14 0.27 0.40 3.02 1.18* 0.39 4.74 0.00
15 0.13 0.30 1.23* 0.67 0.74 6.93 0.00
16 0.24 0.26 0.57 0.45* 0.27 8.20 0.00
17 1.71* 0.82 1.19 0.27 0.31 5.70 0.00
18 0.32* 0.37 0.20 0.19 0.17 8.75 0.00
19 0.73 1.95* 0.73 0.41 0.79 5.39 0.00
20 0.23 0.12 0.15 0.15 0.22* 9.14 0.00
21 0.36 0.29 0.31* 0.18 0.06 8.80 0.00
22 0.29 0.41* 0.26 0.21 0.20 8.62 0.00
23 0.43 0.43* 0.12 0.23 0.24 8.56 0.00
24 0.11 0.13* 0.10 0.20 0.06 9.41 0.00
25 0.22 0.16 0.13* 0.17 0.06 9.24 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 Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 1
149.5 124.5 99.5 2 2
149.0 124.0 99.0 1
148.5 123.5 98.5 4 1
148.0 123.0 98.0 5 3
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 2 1
146.5 121.5 96.5 1 1
146.0 121.0 96.0 1 6
145.5 120.5 2 95.5 2
145.0 120.0 95.0 5 4
144.5 119.5 1 94.5 4 1
144.0 1 119.0 94.0 3
143.5 118.5 1 93.5 6 5
143.0 118.0 1 93.0 1
142.5 117.5 92.5 3 5
142.0 117.0 92.0 2 1
141.5 116.5 91.5 5 5
141.0 116.0 2 91.0 6 3
140.5 115.5 1 90.5 4 3
140.0 115.0 90.0 4 3
139.5 114.5 1 1 89.5 1
139.0 114.0 89.0 9 2
138.5 113.5 88.5 3 3
138.0 113.0 88.0 5 2
137.5 112.5 1 1 87.5 8 5
137.0 112.0 87.0 3 2
136.5 111.5 4 1 86.5 7 10
136.0 111.0 2 86.0 9 5
135.5 110.5 85.5 7 3
135.0 110.0 4 1 85.0 9 2
134.5 1 109.5 1 84.5 6 3
134.0 109.0 3 1 84.0 4 5
133.5 1 108.5 1 83.5 3 3
133.0 108.0 2 83.0 9 8
132.5 107.5 1 1 82.5 6 2
132.0 1 107.0 82.0 5 9
131.5 106.5 2 2 81.5 9 6
131.0 106.0 81.0 3 3
130.5 105.5 1 1 80.5 4 9
130.0 105.0 3 80.0 4 2
129.5 104.5 2 79.5 5 7
129.0 1 104.0 2 79.0 5 3
128.5 103.5 78.5 3
128.0 103.0 3 3 78.0 16 9
127.5 1 102.5 77.5 3 5
127.0 102.0 3 2 77.0 5 11
126.5 1 1 101.5 1 1 76.5 3 6
126.0 101.0 4 76.0 4 5
125.5 100.5 3 1 75.5 7 5
American Mathematics Competitions
2005 AMC 10 B Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 2 50.0 1 3 25.0
74.5 8 4 49.5 1 24.5
74.0 4 6 49.0 1 1 24.0 2
73.5 5 4 48.5 1 23.5
73.0 4 4 48.0 4 2 23.0
72.5 7 3 47.5 1 3 22.5
72.0 6 11 47.0 2 22.0
71.5 4 10 46.5 2 21.5
71.0 6 7 46.0 2 1 21.0
70.5 4 45.5 1 1 20.5
70.0 8 3 45.0 2 20.0
69.5 4 7 44.5 1 19.5
69.0 2 3 44.0 19.0
68.5 5 7 43.5 1 1 18.5
68.0 3 3 43.0 1 18.0 1
67.5 5 4 42.5 1 1 17.5
67.0 4 2 42.0 2 4 17.0
66.5 4 4 41.5 16.5
66.0 7 8 41.0 16.0
65.5 2 40.5 1 15.5
65.0 3 6 40.0 1 15.0
64.5 3 2 39.5 1 14.5
64.0 4 2 39.0 1 14.0
63.5 5 7 38.5 1 1 13.5
63.0 1 38.0 13.0
62.5 5 4 37.5 12.5
62.0 4 2 37.0 12.0 1
61.5 3 36.5 1 11.5
61.0 36.0 2 11.0
60.5 4 5 35.5 2 10.5
60.0 3 1 35.0 10.0
59.5 2 5 34.5 9.5
59.0 2 5 34.0 1 9.0
58.5 6 33.5 8.5
58.0 2 33.0 8.0
57.5 3 3 32.5 7.5
57.0 2 1 32.0 7.0
56.5 3 2 31.5 6.5
56.0 1 31.0 6.0
55.5 3 30.5 5.5
55.0 1 2 30.0 1 5.0
54.5 1 2 29.5 4.5
54.0 3 3 29.0 4.0
53.5 1 28.5 3.5
53.0 2 1 28.0 3.0
52.5 1 1 27.5 2.5
52.0 1 27.0 1 2.0
51.5 2 26.5 1.5
51.0 3 2 26.0 1.0
50.5 2 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
144.0 1
134.5 1
133.5 1
132.0 1
129.0 1
127.5 1
126.5 2
122.0 1
120.5 1 1
119.5 1
118.5 1
118.0 1
117.0 1
116.5 1
116.0 1 1
115.5 1
114.5 1 1
112.5 1 1
111.5 1 4
111.0 3
110.0 4 1
109.5 1
109.0 2 2
108.5 1
108.0 2
107.5 2 1
106.5 1 3
105.5 2
105.0 2 1
104.5 2
104.0 2
103.0 6
102.0 6
101.5 2
101.0 1 4
100.5 1 4
100.0 1
99.5 1 1 2
99.0 1
98.5 1 4
98.0 1 7 2
97.5 2
97.0 3
96.5 1 1
96.0 1 7 1
95.5 2 2
95.0 5 4
94.5 1 4
94.0 1 3
93.5 6 6
93.0 1
92.5 3 6
92.0 2 1 1
91.5 4 7
91.0 5 4
90.5 2 5 1
90.0 2 7
89.5 1
89.0 4 10 1
88.5 1 5
88.0 2 6
87.5 7 8
87.0 5 2
86.5 6 14 1
86.0 5 8 5
85.5 1 9
85.0 4 8
84.5 1 9 1
84.0 3 8 2
83.5 1 6
83.0 1 6 12 1
82.5 1 8
82.0 5 9 2
81.5 4 10 4
81.0 3 2 2
80.5 6 7 1
80.0 3 3 3
79.5 6 7 1
79.0 3 6 1
78.5 3 1 1
78.0 9 15 4
77.5 3 5 1
77.0 8 8
76.5 4 5 1
76.0 5 6
75.5 6 8
75.0 2 4 3
74.5 5 8
74.0 1 8 3
73.5 7 4 2
73.0 3 5 2
72.5 8 4 1
72.0 2 17 1
71.5 4 10 2
71.0 6 9
70.5 4 2
70.0 4 7
69.5 6 5 2
69.0 5 2
68.5 1 5 7
68.0 2 4 1
67.5 4 6 1
67.0 3 4
66.5 5 5
66.0 7 9
65.5 2 1
65.0 2 7 1
64.5 1 2 2
64.0 3 3
63.5 3 9
63.0 2 1
62.5 6 4 1
62.0 5 2 2
61.5 2 1
61.0 1
60.5 6 4 1
60.0 3 1
59.5 3 4 3
59.0 3 4
58.5 3 4
58.0 2 1
57.5 2 6 1
57.0 1 2
56.5 2 3 1
56.0 2 1
55.5 1 3
55.0 2 3
54.5 3 1
54.0 4 2 2
53.5 1
53.0 3
52.5 1 1
52.0 2 1
51.5 1 3
51.0 1 4 1
50.5 1 2
50.0 3 2 2
49.5 1
49.0 2
48.5 1
48.0 3 3
47.5 2 3
47.0 2 1
46.5 2
46.0 2 2
45.5 2 1
45.0 1 1
44.5 1 1
43.5 2 1
43.0 1
42.5 2
42.0 6 1
41.0 1
40.5 1
40.0 1
39.5 1
39.0 1 1
38.5 1 1 1
36.5 1
36.0 1 1
35.5 1 1
34.0 1
30.0 1 1
29.0 1
27.0 1
25.5 1
24.0 1 1
18.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Washington
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 8.59* 0.39 0.39 0.14 0.43 0.07 0.00
2 0.14 0.24 0.15 8.49* 0.29 0.69 0.00
3 0.00 0.69 1.76 6.28* 0.91 0.36 0.00
4 0.93 0.27 1.03 3.40* 0.21 4.16 0.00
5 0.17 0.11 8.72* 0.16 0.45 0.40 0.00
6 0.20 8.29* 0.23 0.24 0.30 0.73 0.00
7 0.73 1.29* 0.49 1.09 0.80 5.61 0.00
8 5.94* 0.19 1.14 0.04 0.12 2.57 0.00
9 0.57 0.70 1.85 5.31* 0.56 1.01 0.00
10 1.36* 0.90 0.63 0.41 0.34 6.35 0.01
11 0.37 0.56 0.21 1.83 1.68* 5.34 0.00
12 0.66 1.41 0.51 0.24 0.39* 6.78 0.01
13 0.51 0.54 1.73* 1.80 0.42 5.00 0.00
14 0.45 0.24 1.77* 2.12 0.69 4.71 0.01
15 1.39 0.56 1.00 4.01* 0.80 2.23 0.01
16 0.55 0.81 0.63 0.34* 0.13 7.54 0.01
17 0.53 2.96* 1.04 0.36 0.15 4.97 0.00
18 0.47 4.73 0.93 1.99* 0.45 1.44 0.00
19 0.56 5.33* 0.43 0.62 0.42 2.64 0.00
20 0.71 0.29 1.02* 0.39 0.28 7.30 0.00
21 0.25* 0.45 0.31 0.38 0.18 8.42 0.01
22 0.80 0.91 0.40* 0.31 0.19 7.39 0.00
23 2.69 0.58 0.47* 0.29 0.18 5.79 0.00
24 0.43 0.21 0.25 0.38 0.97* 7.74 0.01
25 0.23 0.22 2.83* 0.09 0.24 6.38 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 Washington
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 5 5
149.0 124.0 99.0 5
148.5 123.5 98.5 10 3
148.0 123.0 98.0 5 1
147.5 122.5 97.5 2 1
147.0 122.0 97.0 6
146.5 121.5 1 96.5 1
146.0 121.0 96.0 21 11
145.5 120.5 1 95.5 4 1
145.0 120.0 95.0 23 6
144.5 119.5 94.5 2
144.0 119.0 94.0 9 2
143.5 118.5 93.5 10 2
143.0 118.0 1 93.0 2 1
142.5 117.5 92.5 18 5
142.0 117.0 2 1 92.0 3 2
141.5 116.5 91.5 9 5
141.0 116.0 3 91.0 10 3
140.5 115.5 90.5 4 6
140.0 115.0 1 1 90.0 17 13
139.5 114.5 1 89.5 2
139.0 114.0 89.0 20 11
138.5 113.5 2 88.5 3 3
138.0 1 113.0 88.0 9 10
137.5 112.5 2 87.5 7 7
137.0 112.0 1 87.0 4 6
136.5 111.5 5 86.5 12 13
136.0 1 111.0 1 86.0 2
135.5 110.5 85.5 9 12
135.0 110.0 1 85.0 8 2
134.5 109.5 2 84.5 11 9
134.0 109.0 3 2 84.0 21 10
133.5 108.5 83.5 3 6
133.0 108.0 3 83.0 19 17
132.5 107.5 82.5 3 4
132.0 107.0 82.0 10 5
131.5 106.5 1 2 81.5 8 6
131.0 1 106.0 81.0 8 7
130.5 105.5 10 5 80.5 14 11
130.0 105.0 1 80.0 5 5
129.5 104.5 7 1 79.5 7 11
129.0 104.0 1 1 79.0 2 2
128.5 103.5 1 78.5 14 8
128.0 103.0 6 78.0 12 7
127.5 2 102.5 77.5 5 9
127.0 102.0 10 3 77.0 15 13
126.5 1 101.5 1 76.5 6 6
126.0 101.0 5 4 76.0 5 14
125.5 1 100.5 7 75.5 8 2
American Mathematics Competitions
2005 AMC 12 B Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 9 5 50.0 25.0
74.5 8 10 49.5 24.5
74.0 2 2 49.0 1 24.0
73.5 9 4 48.5 23.5
73.0 6 3 48.0 3 1 23.0
72.5 5 3 47.5 22.5
72.0 8 5 47.0 1 22.0
71.5 7 2 46.5 21.5
71.0 9 8 46.0 1 21.0
70.5 2 5 45.5 1 20.5
70.0 2 5 45.0 1 20.0
69.5 2 5 44.5 1 19.5
69.0 6 1 44.0 19.0
68.5 5 5 43.5 18.5
68.0 6 3 43.0 18.0
67.5 5 5 42.5 17.5
67.0 3 6 42.0 1 2 17.0
66.5 5 1 41.5 16.5
66.0 3 2 41.0 1 16.0
65.5 1 4 40.5 15.5
65.0 2 5 40.0 1 15.0
64.5 2 2 39.5 1 14.5
64.0 5 2 39.0 14.0
63.5 1 3 38.5 2 13.5
63.0 2 2 38.0 13.0
62.5 1 3 37.5 12.5
62.0 3 37.0 1 12.0
61.5 1 1 36.5 11.5
61.0 1 2 36.0 2 2 11.0
60.5 2 1 35.5 10.5
60.0 1 3 35.0 10.0
59.5 34.5 9.5
59.0 3 34.0 9.0
58.5 2 2 33.5 8.5
58.0 1 2 33.0 8.0
57.5 2 2 32.5 1 7.5
57.0 3 32.0 7.0
56.5 2 31.5 6.5
56.0 1 2 31.0 6.0
55.5 3 1 30.5 5.5
55.0 2 30.0 1 5.0
54.5 29.5 4.5
54.0 1 29.0 4.0
53.5 2 28.5 3.5
53.0 2 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 2 2 26.5 1 1.5
51.0 1 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
138.0 1
136.0 1
131.0 1
127.5 1 1
126.5 1
125.5 1
121.5 1
120.5 1
118.0 1
117.0 1 1 1
116.0 1 1 1
115.0 1 1
114.5 1
113.5 1 1
112.5 2
112.0 1
111.5 1 3 2
111.0 1
110.0 1
109.5 1 1
109.0 1 1 3
108.5 1
108.0 1 1 1
106.5 1 2
106.0 1
105.5 1 7 7
105.0 1
104.5 1 7
104.0 1 2 1
103.5 1
103.0 2 5
102.0 2 7 4 1
101.5 1 1
101.0 1 7 1
100.5 1 3 3
99.5 5 5
99.0 1 2 2
98.5 1 5 7 3
98.0 5 1
97.5 3
97.0 2 3 1 1
96.5 1
96.0 1 1 4 14 10 3
95.5 2 3
95.0 4 18 8 3
94.5 1 1
94.0 2 4 6
93.5 1 1 6 5
93.0 1 2
92.5 2 11 10 2
92.0 3 2
91.5 2 9 4
91.0 1 5 8
90.5 1 7 3
90.0 2 5 18 8 2
89.5 1 1 1
89.0 2 2 18 10 2
88.5 5 1
88.0 1 11 8 2
87.5 1 10 3
87.0 1 1 6 2
86.5 4 14 8 5
86.0 2
85.5 2 12 7
85.0 1 1 4 3 3
84.5 1 13 7 1
84.0 1 4 18 10 1
83.5 1 5 3
83.0 1 16 17 4
82.5 5 3 1
82.0 1 9 5
81.5 3 8 4
81.0 1 7 7 1
80.5 5 14 6
80.0 7 4
79.5 1 11 7 1
79.0 2 2
78.5 1 14 8
78.0 1 1 12 5 1
77.5 8 7
77.0 1 2 18 7
76.5 1 8 3
76.0 1 1 11 7
75.5 1 4 4 2
75.0 1 4 9
74.5 2 6 9 1
74.0 4 2
73.5 1 4 8
73.0 2 1 6
72.5 5 3
72.0 1 8 4 3
71.5 1 3 3 4
71.0 1 8 9
70.5 4 3 1
70.0 5 2
69.5 4 4
69.0 3 4
68.5 7 3
68.0 1 2 6
67.5 1 5 4
67.0 1 6 3
66.5 6 1
66.0 1 1 4 3
65.5 6 1
65.0 3 4 1
64.5 1 3
64.0 6 2
63.5 2 2
63.0 1 1 2
62.5 4
62.0 3
61.5 1 1
61.0 3
60.5 1 2
60.0 4 1
59.0 3
58.5 3 3
58.0 1 2
57.5 1 3
57.0 2 1
56.5 1 1
56.0 2 2
55.5 3 1
55.0 1 1
54.0 1 1
53.5 2
53.0 1 1
52.5 1
52.0 1
51.5 2 2
51.0 1
50.5 1 1
49.5 1
49.0 1
48.0 2 2
47.0 1
46.0 1
45.5 1
45.0 1
44.5 1
42.0 4
41.0 1
40.0 1
39.5 1
38.5 2 1
37.0 1
36.0 2 2
32.5 1
30.0 1 1
26.5 1
American Mathematics Competitions
2005 AMC 12 B Results for Washington
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.28* 0.17 0.24 0.10 0.17 0.04 0.00
2 0.07 0.12 0.12 9.04* 0.22 0.42 0.00
3 0.08 0.05 9.30* 0.12 0.18 0.27 0.00
4 0.09 9.00* 0.13 0.19 0.20 0.38 0.00
5 7.84* 0.06 0.62 0.02 0.02 1.43 0.00
6 2.62* 0.86 0.53 0.31 0.27 5.40 0.00
7 1.21 1.61 0.15 2.06* 0.47 4.50 0.00
8 1.36 1.68 4.14* 0.04 0.87 1.92 0.00
9 0.32 7.84* 0.27 0.27 0.22 1.09 0.00
10 0.13 0.48 0.12 2.07 3.06* 4.13 0.00
11 1.11 1.21 0.72 4.33* 0.47 2.16 0.01
12 0.32 0.69 0.92 0.73* 0.09 7.24 0.00
13 0.37 0.27 0.25 1.51* 0.22 7.39 0.00
14 0.75 1.02 0.64 0.38 1.05* 6.16 0.00
15 0.52 0.35 0.26 4.82* 0.42 3.63 0.00
16 0.27 0.22 0.64 0.59* 0.19 8.08 0.00
17 0.36 0.48* 0.20 0.10 0.54 8.32 0.00
18 1.51 0.43 0.37* 0.21 0.26 7.22 0.00
19 0.21 0.17 0.12 0.31 2.11* 7.08 0.00
20 0.11 0.22 4.05* 0.71 1.68 3.23 0.01
21 0.17 0.17 0.57* 0.31 0.12 8.65 0.01
22 0.40 0.69 0.12 0.14 0.10* 8.54 0.00
23 0.10 0.16* 0.11 0.19 0.06 9.38 0.00
24 0.31* 0.17 0.21 0.16 0.17 8.99 0.00
25 0.31* 0.22 0.19 0.20 0.29 8.79 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column