American Mathematics Competitions
2006 AMC 10 A Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1032
Number of unofficial participants: 0
Average score of participants: 78.3
Average score for female students is: 75.6 ( 438 Students)
Average score for male students is: 80.9 ( 548 Students)
Average score for unspecified gender is 72.3 ( 46 Students)
Average score for grade 10 is: 77.6 ( 517 Students)
Average score for grade 9 is: 76.3 ( 445 Students)
Average score for grade 8 and below is: 104.4 ( 50 Students)
Average score with unknown grade: 72.3 ( 20 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 34
Number of schools returning results 43
Average school winning score 115.95
American Mathematics Competitions
2006 AMC 12 A Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1247
Number of unofficial participants: 0
Average score of participants: 86.5
Average score for female students is: 82.5 ( 503 Students)
Average score for male students is: 89.2 ( 696 Students)
Average score for unspecified gender is 89.5 ( 48 Students)
Average score for grade 13 is: 75.5 ( 1 Student)
Average score for grade 12 is: 88.0 ( 454 Students)
Average score for grade 11 is: 83.8 ( 608 Students)
Average score for grade 10 is: 93.4 ( 117 Students)
Average score for grade 9 is: 88.0 ( 51 Students)
Average score for grade 8 and below is: 111.8 ( 4 Students)
Average score with unknown grade: 87.3 ( 12 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 293
Number of schools returning results 41
Average school winning score 114.27
Average school team score 325.40
American Mathematics Competitions
2006 AMC 10 B Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1019
Number of unofficial participants: 0
Average score of participants: 65.3
Average score for female students is: 63.0 ( 454 Students)
Average score for male students is: 68.5 ( 456 Students)
Average score for unspecified gender is 62.0 ( 109 Students)
Average score for grade 10 is: 66.0 ( 564 Students)
Average score for grade 9 is: 64.7 ( 383 Students)
Average score for grade 8 and below is: 69.0 ( 11 Students)
Average score with unknown grade: 63.1 ( 61 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 10
Number of schools returning results 40
Average school winning score 104.31
American Mathematics Competitions
2006 AMC 12 B Results for Washington
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1871
Number of unofficial participants: 0
Average score of participants: 81.3
Average score for female students is: 77.4 ( 767 Students)
Average score for male students is: 85.0 ( 958 Students)
Average score for unspecified gender is 78.5 ( 146 Students)
Average score for grade 13 is: 88.5 ( 2 Students)
Average score for grade 12 is: 82.0 ( 686 Students)
Average score for grade 11 is: 79.7 ( 903 Students)
Average score for grade 10 is: 85.5 ( 160 Students)
Average score for grade 9 is: 96.9 ( 29 Students)
Average score for grade 8 and below is: 110.4 ( 7 Students)
Average score with unknown grade: 77.7 ( 84 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 258
Number of schools returning results 50
Average school winning score 111.04
Average school team score 308.77
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
405.5 1 1
405.0 1 2
403.0 1 3
391.5 1 4
383.0 1 5
378.5 1 6
375.0 1 7
371.5 1 8
366.0 1 9
364.5 1 10
361.5 1 11
361.0 1 12
359.0 1 13
354.0 1 14
353.0 1 15
352.0 1 16
351.0 1 17
349.0 1 18
348.0 1 19
346.5 1 20
344.5 2 21
343.5 2 23
342.5 1 25
342.0 1 26
341.5 1 27
340.0 2 28
338.5 1 30
336.5 1 31
335.5 1 32
332.0 1 33
331.5 1 34
330.5 1 35
330.0 1 36
326.0 1 37
325.0 1 38
324.5 1 39
322.5 1 40
319.5 1 41
316.5 1 1 42
316.0 1 44
315.0 1 2 45
314.0 1 48
313.0 1 49
311.5 1 50
310.5 1 1 51
309.5 2 53
308.5 1 55
307.0 1 56
305.5 2 1 57
304.5 1 60
304.0 2 61
303.0 1 63
301.5 2 64
300.5 1 66
300.0 1 67
299.0 1 68
298.5 1 69
298.0 1 70
292.0 1 71
291.5 1 1 72
291.0 1 74
289.5 1 75
288.5 1 76
287.5 2 77
283.5 1 79
280.0 1 80
279.0 1 81
274.5 2 82
265.0 1 84
258.0 1 85
250.0 1 86
248.0 1 87
224.0 1 88
194.0 1 89
182.0 1 90
117.0 1 91
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2 1 3
146.5 1
144.0 1 1 2
139.5 1 2 1
138.0 2
136.0 1 1
134.5 3
133.5 1 2 2 1
132.5 1
132.0 1 1
130.0 3 1
129.0 1 1 1
128.5 1
127.5 1
126.5 1 2 2
126.0 2
125.5 1 3
124.0 2 3
123.0 4 4 2
122.5 1
122.0 4 4 1
121.5 3 1
120.5 1 4 2
119.5 3 6 3 2
119.0 1 1
118.5 15 7
118.0 2 7 1
117.0 2 2 1
116.0 6 7 3
115.5 1 2 3
115.0 11 1
114.5 1 3 3 2
114.0 1
113.5 8 5 2 2
113.0 2
112.5 31 11 1 3
112.0 4
111.5 7 11 1
111.0 3 3 1
110.5 1
110.0 10 2 6 3
109.5 1
109.0 18 10 4
108.5 1 5 2
108.0 8 12 1 1
107.5 1 1 7 1
106.5 20 9 5 3
106.0 1 2
105.5 15 20 2
105.0 3 1 3
104.5 2 23
104.0 13 5 5 2
103.5 1 1
103.0 24 7 4 2
102.5 2 2
102.0 23 38 4 4
101.5 10 1 6 3
101.0 10 40 2 1
100.5 23 5 4
100.0 1 3
99.5 33 18 6 6
99.0 6 1 9 1
98.5 9 27 5 1
98.0 10 4 8 6
97.5 9 4 1
97.0 20 13 2
96.5 8 1
96.0 30 28 8 3
95.5 5 1 6 8
95.0 11 79 8 2
94.5 17 12 2 5
94.0 2 9 3 1
93.5 12 13 4 5
93.0 4 1 4
92.5 23 45 11 5
92.0 12 3 7 2
91.5 5 25 7 3
91.0 18 15 10 6
90.5 5 18 5 1
90.0 21 24 11 3
89.5 6 1 7 4
89.0 17 68 6 6
88.5 20 6 8 2
88.0 13 20 6 7
87.5 18 22 11 6
87.0 3 7 7 2
86.5 16 36 9 1
86.0 15 2 16 5
85.5 10 34 9 1
85.0 15 7 10 5
84.5 11 25 6 3
84.0 18 35 12 16
83.5 6 8 4 5
83.0 15 40 16 6
82.5 9 8 8 2
82.0 10 26 16 7
81.5 12 15 15 8
81.0 8 18 13 2
80.5 18 33 10 4
80.0 10 9 11 5
79.5 14 28 10 7
79.0 16 10 11 10
78.5 11 28 11 6
78.0 15 27 13 9
77.5 11 16 13 5
77.0 23 37 16 16
76.5 10 8 5 11
76.0 8 29 15 4
75.5 15 15 12 3
75.0 11 19 13 7
74.5 13 27 14 11
74.0 11 7 9 8
73.5 6 26 9 8
73.0 11 11 7 6
72.5 18 25 12 8
72.0 15 23 14 10
71.5 11 10 14 8
71.0 19 19 11 11
70.5 10 6 10 5
70.0 9 26 12 4
69.5 10 10 12 14
69.0 8 17 9 13
68.5 4 24 7 9
68.0 8 9 8 11
67.5 7 17 8 13
67.0 5 6 4 9
66.5 10 15 12 15
66.0 13 20 12 17
65.5 10 12 6 10
65.0 5 15 10 16
64.5 5 10 9 7
64.0 10 13 10 13
63.5 4 7 8 8
63.0 5 14 10 6
62.5 7 17 13 19
62.0 5 11 10 10
61.5 3 14 11 11
61.0 6 3 7 14
60.5 7 7 13 11
60.0 8 9 6 17
59.5 2 6 9 8
59.0 4 10 6 20
58.5 5 1 6 13
58.0 7 15 9 18
57.5 4 8 8 8
57.0 2 5 5 9
56.5 4 14 5 11
56.0 3 1 6 16
55.5 2 6 3 14
55.0 2 6 7 5
54.5 1 5 9 8
54.0 9 6 13
53.5 1 2 4 9
53.0 1 4 2 9
52.5 6 3 8
52.0 1 7 4 9
51.5 1 7
51.0 1 5 3 3
50.5 1 6 3 10
50.0 2 4 2 5
49.5 1 7 2 9
49.0 1 2 7
48.5 1 2 6
48.0 2 10 6 15
47.5 1 1 2 4
47.0 1 11
46.5 3 1 3
46.0 2 8
45.5 1 3 14
45.0 1 2 4 5
44.5 1 2 1 5
44.0 2 3 7
43.5 6 1 8
43.0 1 1 1 2
42.5 1 3 4
42.0 3 7 6 8
41.5 1 1 1 4
41.0 5 3 6
40.5 1 1 2
40.0 1 1 1 4
39.5 7
39.0 1 1
38.5 1 1 2
38.0 1 2
37.5 2 1 1
37.0 2 1 2
36.5 1 2 1
36.0 1 6 2 10
35.0 1 1 1
34.5 2 1 2
34.0 1 1
33.5 1
33.0 2
32.5 1 1
32.0 2 2
31.5 1
30.5 1
30.0 1 5 3 8
29.5 1 1
28.5 1
28.0 1 1
27.0 2
26.5 1 3
25.5 1
24.5 1
24.0 2 3
23.5 1
22.5 1
22.0 1
21.0 1
20.5 1 1
18.5 1
18.0 1 1 3
17.0 2
13.5 2
12.0 3
8.5 1
6.0 1 1
1
American Mathematics Competitions
2006 AMC 10 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 1 125.0 100.0 1 2
149.5 124.5 99.5 3 3
149.0 124.0 3 99.0 5 4
148.5 123.5 98.5 3 2
148.0 123.0 2 98.0 5 2
147.5 122.5 1 97.5 3 1
147.0 122.0 1 97.0 2
146.5 121.5 2 1 96.5 5 3
146.0 121.0 96.0 7 1
145.5 120.5 3 1 95.5 5 1
145.0 120.0 95.0 1 7
144.5 119.5 1 2 94.5 1 1
144.0 1 119.0 94.0 2 1
143.5 118.5 93.5 3 1
143.0 118.0 4 3 93.0 3
142.5 117.5 92.5 4 7
142.0 117.0 1 1 92.0 5 2
141.5 116.5 91.5 3 4
141.0 116.0 91.0 4 4
140.5 115.5 2 1 90.5 3 2
140.0 115.0 90.0 9 2
139.5 1 114.5 1 1 89.5 4 3
139.0 114.0 89.0 2 4
138.5 113.5 1 1 88.5 6 2
138.0 1 1 113.0 2 88.0 5 1
137.5 112.5 1 87.5 6 5
137.0 112.0 1 3 87.0 6 1
136.5 111.5 1 86.5 5 4
136.0 1 111.0 86.0 8 5
135.5 110.5 1 85.5 4 5
135.0 110.0 4 2 85.0 7 3
134.5 2 1 109.5 1 84.5 3 3
134.0 109.0 3 1 84.0 6 5
133.5 2 108.5 2 3 83.5 3 1
133.0 108.0 1 83.0 9 7
132.5 107.5 5 2 82.5 2 4
132.0 1 107.0 82.0 8 8
131.5 106.5 3 2 81.5 10 5
131.0 106.0 1 81.0 8 4
130.5 105.5 80.5 2 7
130.0 105.0 2 1 80.0 7 3
129.5 104.5 79.5 4 6
129.0 1 104.0 3 1 79.0 7 3
128.5 1 103.5 1 78.5 8 3
128.0 103.0 3 1 78.0 6 6
127.5 1 102.5 2 77.5 7 6
127.0 102.0 4 77.0 8 8
126.5 101.5 5 1 76.5 5
126.0 2 101.0 2 76.0 6 9
125.5 100.5 2 2 75.5 5 6
American Mathematics Competitions
2006 AMC 10 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 6 50.0 1 1 25.0
74.5 5 9 49.5 1 1 24.5
74.0 4 3 49.0 1 1 24.0
73.5 7 2 48.5 1 1 23.5
73.0 6 48.0 2 4 23.0
72.5 8 2 47.5 1 1 22.5
72.0 6 6 47.0 1 22.0
71.5 8 6 46.5 1 21.5
71.0 3 7 46.0 1 1 21.0
70.5 3 7 45.5 20.5 1
70.0 3 8 45.0 2 2 20.0
69.5 2 10 44.5 1 19.5
69.0 5 4 44.0 1 2 19.0
68.5 2 4 43.5 1 18.5
68.0 4 3 43.0 1 18.0
67.5 3 5 42.5 1 1 17.5
67.0 2 2 42.0 4 1 17.0
66.5 5 7 41.5 1 16.5
66.0 7 5 41.0 1 2 16.0
65.5 3 3 40.5 1 15.5
65.0 7 3 40.0 1 15.0
64.5 4 5 39.5 14.5
64.0 5 4 39.0 1 14.0
63.5 3 4 38.5 1 13.5
63.0 3 6 38.0 13.0
62.5 7 5 37.5 1 12.5
62.0 3 6 37.0 12.0
61.5 7 3 36.5 1 1 11.5
61.0 3 4 36.0 2 11.0
60.5 5 8 35.5 10.5
60.0 3 3 35.0 1 10.0
59.5 7 2 34.5 1 9.5
59.0 3 2 34.0 1 9.0
58.5 2 4 33.5 8.5
58.0 4 5 33.0 8.0
57.5 3 4 32.5 1 7.5
57.0 1 4 32.0 7.0
56.5 1 3 31.5 6.5
56.0 4 2 31.0 6.0
55.5 2 1 30.5 5.5
55.0 3 4 30.0 1 1 5.0
54.5 6 2 29.5 4.5
54.0 4 1 29.0 4.0
53.5 2 2 28.5 3.5
53.0 1 1 28.0 1 3.0
52.5 2 1 27.5 2.5
52.0 2 2 27.0 2.0
51.5 26.5 1.5
51.0 1 2 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1 1 1
144.0 1
139.5 1 1
138.0 1 1
136.0 1
134.5 1 1 1
133.5 1 1
132.0 1
129.0 1
128.5 1
127.5 1
126.0 2
124.0 1 1 1
123.0 2
122.5 1
122.0 1
121.5 2 1
120.5 2 2
119.5 1 1 1
118.0 1 1 2 3
117.0 2
115.5 1 2
114.5 1 1 1
113.5 2
113.0 1 1
112.5 1
112.0 1 1 2
111.5 1
110.5 1
110.0 2 3 1
109.5 1
109.0 1 3
108.5 1 4
108.0 1
107.5 1 1 2 3
106.5 1 1 3
106.0 1
105.0 3
104.0 3 2
103.5 1
103.0 1 3
102.5 1 1
102.0 1 3
101.5 1 5
101.0 2
100.5 2 2
100.0 3
99.5 1 2 3
99.0 1 1 7
98.5 2 3
98.0 1 5 2
97.5 3 1
97.0 1 1
96.5 1 4 3
96.0 3 5
95.5 6
95.0 2 6
94.5 1 1
94.0 2 1
93.5 1 3
93.0 1 2 1
92.5 1 4 6
92.0 5 2
91.5 5 2
91.0 1 1 6 2
90.5 3 2
90.0 1 5 5
89.5 2 5
89.0 2 4
88.5 4 4
88.0 1 2 3
87.5 3 8
87.0 1 1 5
86.5 6 3
86.0 1 7 7 1
85.5 4 5
85.0 6 4
84.5 1 1 4
84.0 7 5
83.5 1 3
83.0 1 6 8 1
82.5 2 4 2
82.0 7 9
81.5 4 10 1
81.0 6 7
80.5 1 1 4 4
80.0 3 8
79.5 1 3 6
79.0 6 4 1
78.5 3 8
78.0 8 5
77.5 6 7
77.0 1 1 4 10
76.5 3 2
76.0 1 3 11
75.5 6 6
75.0 6 7
74.5 7 7
74.0 5 4
73.5 3 6
73.0 5 1 1
72.5 1 6 5
72.0 6 7 1
71.5 1 5 8
71.0 4 5 2
70.5 5 5
70.0 1 7 4
69.5 6 6
69.0 2 7
68.5 3 3 1
68.0 1 7
67.5 5 3
67.0 3 1
66.5 8 4
66.0 7 5
65.5 3 3
65.0 8 2
64.5 8 1
64.0 6 4
63.5 1 4 3
63.0 6 3 1
62.5 7 5 1
62.0 5 4 1
61.5 4 6 1
61.0 3 4
60.5 8 5
60.0 4 2
59.5 6 3
59.0 3 2 1
58.5 5 1
58.0 3 6
57.5 4 4
57.0 1 4
56.5 1 4
56.0 3 3
55.5 1 2
55.0 4 3
54.5 3 6
54.0 2 4
53.5 2 2
53.0 2
52.5 2 1
52.0 1 3
51.0 3
50.5 1 2
50.0 1 1
49.5 2
49.0 1 1
48.5 1 1
48.0 3 3
47.5 2
47.0 1
46.5 1
46.0 1 1
45.0 2 2
44.5 1
44.0 1 2
43.5 1
43.0 1
42.5 2 1
42.0 3 3
41.5 1
41.0 3
40.5 1
40.0 1
39.0 1
38.5 1
37.5 1
37.0 1
36.5 1 1
36.0 2
35.0 1
34.5 1
34.0 1
32.5 1
30.0 3
28.0 1
20.5 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Washington
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* 0.01 0.03 0.02 0.00 0.01 0.01
2 1.30 0.24 2.75* 0.17 1.82 3.71 0.00
3 0.09 8.04* 0.09 0.09 1.56 0.14 0.00
4 2.37 0.17 0.09 0.13 6.59* 0.65 0.00
5 0.20 1.19 1.25 6.72* 0.27 0.37 0.00
6 0.19 7.51* 0.50 0.13 0.08 1.59 0.00
7 7.59* 0.10 0.39 0.22 0.17 1.53 0.00
8 1.17 0.35 0.41 0.16 2.41* 5.49 0.00
9 1.72 1.41 5.44* 0.29 0.22 0.90 0.01
10 0.29 0.31 0.64 2.68 1.02* 5.06 0.00
11 1.42 1.34 1.58* 0.65 0.72 4.29 0.00
12 0.96 0.23 4.69* 0.89 0.50 2.72 0.00
13 0.31 1.18 0.33 4.97* 0.17 3.02 0.01
14 1.79 3.68* 0.27 0.86 0.59 2.79 0.01
15 0.86 0.44 0.42 1.56* 0.52 6.20 0.00
16 0.32 0.21 0.56 0.40* 0.58 7.93 0.00
17 2.07* 0.36 0.28 0.39 0.25 6.65 0.00
18 1.96 0.17 3.02* 0.37 0.20 4.27 0.00
19 0.55 1.42 1.21* 0.38 0.27 6.15 0.01
20 0.38 1.29 0.38 0.38 0.92* 6.65 0.01
21 0.81 0.64 0.38 0.52 1.25* 6.40 0.00
22 0.08 0.93 3.46* 3.02 0.89 1.62 0.00
23 0.48 1.27* 0.28 0.13 0.68 7.15 0.01
24 0.89 0.47* 0.28 0.32 0.36 7.67 0.00
25 1.84 0.64 0.61* 0.40 0.35 6.15 0.01
(*) 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 Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 2 125.0 100.0 1
149.5 124.5 99.5 19 12
149.0 124.0 2 99.0 4 2
148.5 123.5 98.5 5 4
148.0 123.0 4 98.0 7 3
147.5 122.5 97.5
147.0 122.0 3 97.0 13 7
146.5 1 121.5 96.5
146.0 121.0 96.0 16 14
145.5 120.5 95.5 5
145.0 120.0 95.0 4 5
144.5 119.5 2 94.5 13 2
144.0 1 119.0 94.0 1 1
143.5 118.5 10 5 93.5 7 5
143.0 118.0 2 93.0 3 1
142.5 117.5 92.5 17 6
142.0 117.0 92.0 8 3
141.5 116.5 91.5 2 3
141.0 116.0 5 1 91.0 9 7
140.5 115.5 1 90.5 1 4
140.0 115.0 6 5 90.0 9 10
139.5 114.5 1 89.5 4 2
139.0 114.0 1 89.0 7 8
138.5 113.5 5 3 88.5 11 8
138.0 113.0 88.0 6 7
137.5 112.5 22 8 87.5 12 6
137.0 112.0 87.0 2 1
136.5 111.5 3 3 86.5 8 7
136.0 111.0 3 86.0 11 4
135.5 110.5 85.5 5 5
135.0 110.0 9 1 85.0 10 5
134.5 109.5 84.5 6 5
134.0 109.0 13 3 84.0 8 10
133.5 1 108.5 83.5 2 4
133.0 108.0 3 5 83.0 6 8
132.5 1 107.5 1 82.5 7 2
132.0 107.0 82.0 5 3
131.5 106.5 13 6 81.5 7 4
131.0 106.0 81.0 3 4
130.5 105.5 10 5 80.5 13 4
130.0 105.0 2 80.0 7 3
129.5 104.5 1 1 79.5 8 5
129.0 1 104.0 8 5 79.0 7 9
128.5 103.5 1 78.5 9 2
128.0 103.0 17 7 78.0 7 8
127.5 102.5 2 77.5 4 6
127.0 102.0 11 11 77.0 13 8
126.5 1 101.5 6 2 76.5 5 4
126.0 101.0 4 4 76.0 3 5
125.5 1 100.5 16 7 75.5 8 6
American Mathematics Competitions
2006 AMC 12 A Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 7 50.0 1 1 25.0
74.5 5 8 49.5 1 24.5
74.0 7 4 49.0 1 24.0
73.5 3 3 48.5 23.5
73.0 6 5 48.0 2 23.0
72.5 10 8 47.5 1 22.5
72.0 11 3 47.0 22.0
71.5 4 7 46.5 21.5
71.0 10 9 46.0 21.0
70.5 6 4 45.5 1 20.5
70.0 4 5 45.0 1 20.0
69.5 5 5 44.5 1 19.5
69.0 8 44.0 19.0
68.5 3 43.5 18.5
68.0 3 5 43.0 1 18.0
67.5 4 3 42.5 1 17.5
67.0 2 2 42.0 1 2 17.0
66.5 5 5 41.5 1 16.5
66.0 7 6 41.0 16.0
65.5 4 6 40.5 15.5
65.0 2 3 40.0 1 15.0
64.5 2 2 39.5 14.5
64.0 2 6 39.0 14.0
63.5 2 2 38.5 13.5
63.0 3 2 38.0 1 13.0
62.5 3 4 37.5 1 12.5
62.0 1 4 37.0 12.0
61.5 1 2 36.5 11.5
61.0 2 4 36.0 1 11.0
60.5 4 3 35.5 10.5
60.0 4 4 35.0 10.0
59.5 1 1 34.5 9.5
59.0 4 34.0 9.0
58.5 2 3 33.5 8.5
58.0 4 3 33.0 8.0
57.5 1 3 32.5 7.5
57.0 1 1 32.0 7.0
56.5 3 1 31.5 6.5
56.0 1 2 31.0 6.0
55.5 2 30.5 5.5
55.0 1 1 30.0 1 5.0
54.5 1 29.5 4.5
54.0 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 27.5 2.5
52.0 1 27.0 2.0
51.5 1 26.5 1.5
51.0 1 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1 1
146.5 1
144.0 1
133.5 1
132.5 1
129.0 1
126.5 1
125.5 1
124.0 1 1
123.0 1 3
122.0 1 1 2
119.5 2 1
119.0 1
118.5 3 2 10
118.0 2
116.0 2 2 2
115.5 1
115.0 3 3 5
114.5 1
114.0 1
113.5 3 5
112.5 1 4 12 14
111.5 1 2 2 1 1
111.0 1 1 1
110.0 1 1 2 3 3
109.0 2 4 6 6
108.0 7 1
107.5 1
106.5 1 1 7 10 1
105.5 2 2 5 6
105.0 2 1
104.5 1 1
104.0 1 6 6
103.5 1
103.0 1 3 10 10
102.5 1 1
102.0 7 6 9 1
101.5 1 4 4 1
101.0 2 6 2
100.5 1 1 12 9
100.0 1
99.5 1 4 9 19
99.0 1 2 3
98.5 1 1 4 3
98.0 5 5
97.0 1 4 8 7
96.0 3 6 10 11
95.5 3 2
95.0 2 1 3 5
94.5 2 9 5 1
94.0 2
93.5 1 2 5 4
93.0 1 3
92.5 2 2 12 7
92.0 2 6 4
91.5 1 1 3
91.0 3 8 7
90.5 1 3 1
90.0 4 8 9
89.5 2 4
89.0 1 11 5
88.5 3 10 7
88.0 1 6 6
87.5 1 3 12 2
87.0 2 1
86.5 1 1 10 4
86.0 1 10 4
85.5 1 5 4
85.0 1 7 7
84.5 1 6 4
84.0 2 4 6 6
83.5 4 2
83.0 1 1 8 4 1
82.5 3 3 3
82.0 6 3 1
81.5 3 6 3
81.0 1 4 2 1
80.5 1 11 5 1
80.0 5 5
79.5 1 7 6
79.0 2 10 4
78.5 8 3
78.0 1 8 6
77.5 1 9 1
77.0 2 9 12
76.5 7 3
76.0 1 5 2
75.5 1 1 7 5 1
75.0 9 2
74.5 3 7 3
74.0 1 7 3
73.5 1 3 2
73.0 2 6 3
72.5 1 1 11 5
72.0 2 8 5
71.5 1 5 5
71.0 2 8 8 1
70.5 1 8 1
70.0 7 2
69.5 2 6 2
69.0 4 4
68.5 1 2 1
68.0 5 3
67.5 4 3
67.0 4 1
66.5 5 5
66.0 1 5 6 1
65.5 1 1 5 3
65.0 5
64.5 3 2
64.0 5 5
63.5 1 1 1 1
63.0 4 1
62.5 1 2 2 2
62.0 4 1
61.5 3
61.0 3 3
60.5 4 3
60.0 1 4 3
59.5 1 1
59.0 2 2
58.5 3 2
58.0 3 4
57.5 4
57.0 2
56.5 1 3
56.0 2 1
55.5 2
55.0 2
54.5 1
53.5 1
53.0 1
52.0 1
51.5 1
51.0 1
50.5 1
50.0 1 1
49.5 1
49.0 1
48.0 2
47.5 1
45.5 1
45.0 1
44.5 1
43.0 1
42.5 1
42.0 2 1
41.5 1
40.0 1
38.0 1
37.5 1 1
36.0 1
30.0 1
American Mathematics Competitions
2006 AMC 12 A Results for Washington
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 0.04 0.02 0.00 0.00 0.00
2 1.35 0.17 4.68* 0.08 0.63 3.10 0.00
3 0.07 8.69* 0.05 0.02 1.03 0.14 0.00
4 1.65 0.12 0.06 0.14 7.57* 0.45 0.00
5 0.18 0.63 0.86 7.93* 0.12 0.29 0.00
6 7.63* 0.07 0.33 0.18 0.13 1.67 0.00
7 0.62 5.11* 0.80 0.46 0.29 2.73 0.00
8 0.93 1.15 6.72* 0.25 0.06 0.88 0.00
9 8.25* 0.15 0.05 0.01 0.21 1.33 0.00
10 0.17 0.14 0.68 3.26 1.88* 3.86 0.00
11 1.28 1.03 2.40* 0.84 0.66 3.80 0.00
12 1.48 5.38* 0.14 0.57 0.32 2.11 0.00
13 0.37 0.06 0.13 0.08 5.53* 3.83 0.01
14 0.03 0.52 5.52* 1.96 0.45 1.52 0.01
15 3.58* 1.29 0.26 0.42 1.31 3.14 0.01
16 0.23 3.79* 0.08 0.22 0.42 5.26 0.00
17 0.21 0.57* 0.41 0.31 0.06 8.44 0.00
18 1.14 0.10 0.30 0.46 0.47* 7.54 0.00
19 0.10 0.07 0.22 0.10 0.26* 9.23 0.00
20 1.54 0.48 0.63* 0.27 0.18 6.90 0.00
21 0.13 0.06 0.28 0.13 0.22* 9.17 0.00
22 0.10 0.10 0.10 0.10* 0.06 9.53 0.00
23 0.08 0.09* 0.11 0.12 0.14 9.46 0.00
24 0.81 0.14 0.13 0.29* 0.08 8.55 0.00
25 0.08 0.15 0.10 0.06 0.20* 9.40 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 Washington
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 4
149.0 124.0 99.0
148.5 123.5 98.5 1
148.0 123.0 98.0 4 2
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 121.5 1 96.5 1
146.0 121.0 96.0 2 1
145.5 120.5 1 1 95.5 3 4
145.0 120.0 95.0 1 1
144.5 119.5 2 94.5 1 4
144.0 1 1 119.0 94.0 1
143.5 118.5 93.5 1 4
143.0 118.0 1 93.0
142.5 117.5 92.5 2 3
142.0 117.0 1 92.0 1 1
141.5 116.5 91.5 3
141.0 116.0 3 91.0 5 1
140.5 115.5 90.5 1
140.0 115.0 90.0 2
139.5 1 114.5 2 89.5 1 3
139.0 114.0 89.0 3 2
138.5 113.5 1 1 88.5 2
138.0 113.0 88.0 3 4
137.5 112.5 2 87.5 4 1
137.0 112.0 87.0 1
136.5 111.5 86.5 1
136.0 111.0 1 86.0 4
135.5 110.5 85.5 1
135.0 110.0 2 1 85.0 2 3
134.5 109.5 84.5 3
134.0 109.0 84.0 9 5
133.5 1 108.5 1 83.5 2 3
133.0 108.0 1 83.0 4 2
132.5 107.5 1 82.5 1
132.0 107.0 82.0 3 3
131.5 106.5 2 1 81.5 3 4
131.0 106.0 1 1 81.0 1 1
130.5 105.5 2 80.5 1 3
130.0 1 105.0 80.0 3 2
129.5 104.5 79.5 3 4
129.0 104.0 1 1 79.0 4 4
128.5 103.5 78.5 4 1
128.0 103.0 2 78.0 5 2
127.5 102.5 77.5 1 4
127.0 102.0 3 1 77.0 8 8
126.5 2 101.5 2 1 76.5 5 5
126.0 101.0 1 76.0 2 2
125.5 100.5 75.5 2
American Mathematics Competitions
2006 AMC 10 B Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 3 50.0 2 3 25.0
74.5 8 2 49.5 4 5 24.5
74.0 3 2 49.0 1 5 24.0 3
73.5 4 2 48.5 1 3 23.5 1
73.0 2 2 48.0 5 8 23.0
72.5 3 5 47.5 1 1 22.5 1
72.0 5 2 47.0 3 7 22.0
71.5 6 1 46.5 3 21.5
71.0 3 6 46.0 3 4 21.0 1
70.5 4 1 45.5 6 5 20.5 1
70.0 2 1 45.0 2 2 20.0
69.5 9 4 44.5 1 3 19.5
69.0 6 6 44.0 2 5 19.0
68.5 5 3 43.5 5 3 18.5 1
68.0 7 3 43.0 2 18.0 1 2
67.5 7 6 42.5 2 2 17.5
67.0 5 4 42.0 7 17.0 1 1
66.5 9 4 41.5 1 2 16.5
66.0 9 7 41.0 1 4 16.0
65.5 1 8 40.5 1 1 15.5
65.0 6 10 40.0 3 15.0
64.5 3 1 39.5 4 2 14.5
64.0 7 6 39.0 14.0
63.5 3 5 38.5 2 13.5 1
63.0 3 2 38.0 2 13.0
62.5 6 10 37.5 1 12.5
62.0 5 5 37.0 2 12.0 1 1
61.5 3 7 36.5 1 11.5
61.0 3 9 36.0 5 4 11.0
60.5 2 8 35.5 10.5
60.0 6 10 35.0 1 10.0
59.5 4 3 34.5 2 9.5
59.0 9 8 34.0 1 9.0
58.5 5 6 33.5 1 8.5 1
58.0 7 8 33.0 1 1 8.0
57.5 4 2 32.5 1 7.5
57.0 5 3 32.0 2 7.0
56.5 6 4 31.5 1 6.5
56.0 5 9 31.0 6.0 1
55.5 4 9 30.5 5.5
55.0 2 2 30.0 3 5 5.0
54.5 3 5 29.5 1 4.5
54.0 7 6 29.0 4.0
53.5 4 5 28.5 1 3.5
53.0 4 1 28.0 1 3.0
52.5 4 3 27.5 2.5
52.0 2 5 27.0 1 2.0
51.5 5 2 26.5 2 1.5
51.0 3 26.0 1.0
50.5 5 4 25.5 .5
0.0 0 1
American Mathematics Competitions
2006 AMC 10 B Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 2
139.5 1
133.5 1
130.0 1
126.5 2
121.5 1
120.5 1 1
119.5 1 1
118.0 1
117.0 1
116.0 1 2
114.5 2
113.5 2
112.5 3
111.0 1
110.0 3
108.5 1 1
108.0 1
107.5 1
106.5 1 2
106.0 2
105.5 1 1
104.0 2
103.0 1 1
102.0 1 3
101.5 2 1
101.0 1
99.5 4 2
99.0 1
98.5 1
98.0 3 3
97.5 1
96.5 1
96.0 2 1
95.5 2 5 1
95.0 1 1
94.5 2 3
94.0 1
93.5 1 4
92.5 2 3
92.0 1 1
91.5 3
91.0 1 5
90.5 1
90.0 2 1
89.5 4
89.0 1 5
88.5 2
88.0 1 6
87.5 1 1 4
87.0 1 1
86.5 1
86.0 2 2 1
85.5 1
85.0 2 3
84.5 1 1 1
84.0 1 4 10 1
83.5 1 4
83.0 2 4
82.5 1 1
82.0 2 5
81.5 2 4 2
81.0 1 1
80.5 1 3
80.0 1 3 1
79.5 2 5
79.0 6 4
78.5 4 2
78.0 3 4 2
77.5 1 4
77.0 6 10
76.5 6 4 1
76.0 3 1
75.5 2 1
75.0 3 4
74.5 1 10
74.0 6 1 1
73.5 4 3 1
73.0 4 2
72.5 4 4
72.0 5 3 2
71.5 2 5 1
71.0 4 5 2
70.5 2 3
70.0 1 2 1
69.5 3 10 1
69.0 6 6 1
68.5 5 3 1
68.0 1 9 1
67.5 5 8
67.0 3 6
66.5 1 4 10
66.0 9 7 1
65.5 2 7 1
65.0 8 8
64.5 3 2 2
64.0 4 9
63.5 3 5
63.0 1 4 1
62.5 8 8 3
62.0 3 7
61.5 4 6 1
61.0 4 8 2
60.5 5 6
60.0 7 9 1
59.5 4 4
59.0 7 12 1
58.5 5 6 2
58.0 8 8 2
57.5 2 5 1
57.0 4 5
56.5 1 2 7 1
56.0 2 13 1
55.5 6 8
55.0 2 3
54.5 2 6
54.0 4 9
53.5 1 5 3
53.0 3 3 3
52.5 2 5 1
52.0 3 4 2
51.5 1 4 2
51.0 1 2
50.5 6 4
50.0 3 2
49.5 4 5
49.0 1 3 3
48.5 6
48.0 8 6 1
47.5 3 1
47.0 6 4 1
46.5 2 1
46.0 4 4
45.5 5 8 1
45.0 1 4
44.5 5
44.0 2 5
43.5 1 7
43.0 2
42.5 1 3
42.0 4 3 1
41.5 2 1 1
41.0 2 3 1
40.5 1 1
40.0 3 1
39.5 1 3 2 1
39.0 1
38.5 2
38.0 2
37.5 1
37.0 1 1
36.5 1
36.0 6 3 1
35.0 1
34.5 2
34.0 1
33.5 1
33.0 1 1
32.5 1
32.0 1 1
31.5 1
30.5 1
30.0 5 3
29.5 1
28.5 1
28.0 1
27.0 2
26.5 2 1
24.5 1
24.0 2 1
23.5 1
22.5 1
21.0 1
20.5 1
18.5 1
18.0 1 2
17.0 2
13.5 1 1
12.0 2 1
8.5 1
6.0 1
1
American Mathematics Competitions
2006 AMC 10 B Results for Washington
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 0.94 0.57 5.07* 1.75 0.89 0.78 0.00
2 4.33* 0.64 0.17 0.27 0.37 4.22 0.00
3 7.36* 0.30 0.06 1.80 0.29 0.19 0.00
4 1.33 2.05 0.40 2.70* 2.36 1.16 0.00
5 0.86 5.13* 1.98 0.32 0.17 1.53 0.00
6 0.39 0.29 3.38 2.84* 0.48 2.62 0.00
7 1.99* 1.73 0.89 1.55 0.79 3.05 0.00
8 1.49 0.99* 0.30 1.51 0.58 5.12 0.00
9 0.08 7.95* 0.15 0.07 0.99 0.77 0.00
10 2.14* 0.39 1.41 0.23 2.60 3.23 0.00
11 0.44 0.57 2.31* 0.50 0.27 5.91 0.00
12 0.28 0.39 0.17 0.47 4.49* 4.19 0.00
13 0.97 0.23 2.27 0.79 2.57* 3.17 0.00
14 0.24 0.16 0.26 0.78* 0.11 8.46 0.00
15 0.66 0.29 1.66* 0.27 0.30 6.81 0.00
16 2.30 0.61 1.72 0.92 1.54* 2.91 0.00
17 2.43 1.47 1.79 2.33* 0.10 1.88 0.00
18 0.68 0.41 0.86 0.43 0.84* 6.77 0.00
19 0.30* 0.62 0.33 0.24 0.29 8.21 0.00
20 0.46 0.34 0.34 0.71 0.61* 7.54 0.00
21 0.53 0.30 0.80* 2.26 0.72 5.38 0.01
22 0.34 0.67 1.90 0.80* 0.19 6.09 0.00
23 0.21 0.85 0.20 0.40* 0.20 8.14 0.01
24 0.18 0.81* 0.83 0.29 0.23 7.65 0.00
25 0.26 1.89* 0.24 1.88 0.51 5.22 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 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 10 7
149.0 124.0 99.0 1
148.5 123.5 98.5 17 9
148.0 123.0 3 1 98.0 3 1
147.5 122.5 97.5 5 3
147.0 122.0 2 2 97.0 7 5
146.5 121.5 96.5
146.0 121.0 96.0 16 9
145.5 120.5 1 95.5 1
145.0 120.0 95.0 50 26
144.5 119.5 5 1 94.5 8 3
144.0 119.0 1 94.0 2 4
143.5 118.5 5 1 93.5 10 3
143.0 118.0 93.0 1
142.5 117.5 92.5 28 14
142.0 117.0 1 1 92.0 3
141.5 116.5 91.5 10 14
141.0 116.0 4 2 91.0 12 3
140.5 115.5 2 90.5 6 9
140.0 115.0 1 90.0 14 10
139.5 1 114.5 2 89.5 1
139.0 114.0 89.0 29 28
138.5 113.5 5 88.5 4 1
138.0 113.0 88.0 9 11
137.5 112.5 8 1 87.5 16 4
137.0 112.0 87.0 5 2
136.5 111.5 8 3 86.5 21 12
136.0 1 111.0 2 1 86.0 2
135.5 110.5 85.5 21 11
135.0 110.0 1 1 85.0 2 5
134.5 109.5 84.5 10 12
134.0 109.0 8 2 84.0 21 12
133.5 2 108.5 1 83.5 2 5
133.0 108.0 9 2 83.0 21 14
132.5 107.5 1 82.5 7 1
132.0 1 107.0 82.0 8 17
131.5 106.5 9 81.5 10 4
131.0 106.0 81.0 5 11
130.5 105.5 16 2 80.5 19 14
130.0 3 105.0 1 80.0 6 3
129.5 104.5 14 7 79.5 14 13
129.0 1 104.0 5 79.0 5 4
128.5 103.5 78.5 12 15
128.0 103.0 6 78.0 16 10
127.5 102.5 77.5 6 8
127.0 102.0 22 12 77.0 21 12
126.5 1 1 101.5 1 76.5 4 4
126.0 101.0 26 13 76.0 13 13
125.5 1 2 100.5 2 3 75.5 9 5
American Mathematics Competitions
2006 AMC 12 B Results for Washington
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 13 50.0 1 2 25.0
74.5 13 10 49.5 2 5 24.5
74.0 1 6 49.0 24.0 1
73.5 11 11 48.5 23.5
73.0 6 5 48.0 5 3 23.0
72.5 5 18 47.5 1 22.5
72.0 17 5 47.0 22.0 1
71.5 3 6 46.5 3 21.5
71.0 9 8 46.0 21.0
70.5 3 2 45.5 1 2 20.5
70.0 10 12 45.0 2 20.0
69.5 4 5 44.5 2 19.5
69.0 7 8 44.0 1 1 19.0
68.5 12 12 43.5 2 3 18.5
68.0 5 2 43.0 18.0
67.5 10 7 42.5 17.5
67.0 1 4 42.0 3 4 17.0
66.5 6 6 41.5 1 16.5
66.0 5 12 41.0 2 2 16.0
65.5 2 7 40.5 1 15.5
65.0 4 10 40.0 1 15.0
64.5 5 4 39.5 14.5
64.0 8 5 39.0 14.0
63.5 3 3 38.5 1 13.5
63.0 6 8 38.0 13.0
62.5 3 11 37.5 12.5
62.0 4 6 37.0 1 1 12.0
61.5 4 7 36.5 1 11.5
61.0 2 1 36.0 5 1 11.0
60.5 1 5 35.5 10.5
60.0 2 6 35.0 1 10.0
59.5 4 2 34.5 2 9.5
59.0 5 5 34.0 9.0
58.5 1 33.5 8.5
58.0 4 11 33.0 8.0
57.5 2 5 32.5 7.5
57.0 3 2 32.0 2 7.0
56.5 4 10 31.5 6.5
56.0 31.0 6.0
55.5 1 5 30.5 5.5
55.0 3 3 30.0 1 3 5.0
54.5 2 3 29.5 1 4.5
54.0 7 2 29.0 4.0
53.5 2 28.5 3.5
53.0 1 2 28.0 3.0
52.5 2 4 27.5 2.5
52.0 2 5 27.0 2.0
51.5 26.5 1 1.5
51.0 1 4 26.0 1.0
50.5 4 2 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Washington
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
139.5 1
136.0 1
133.5 1 1
132.0 1
130.0 1 1 1
129.0 1
126.5 1 1
125.5 1 2
123.0 1 1 1 1
122.0 1 2 1
120.5 1
119.5 1 1 2 2
119.0 1
118.5 1 1 2 3
117.0 1 1
116.0 1 4 2
115.5 1 1
115.0 1
114.5 1 1 1
113.5 2 3
112.5 1 1 8 1
111.5 1 1 3 2 4
111.0 1 1 1
110.0 1 1
109.0 1 2 3 4
108.5 1
108.0 1 1 7 3
107.5 1
106.5 1 5 3
105.5 1 11 8
105.0 1
104.5 1 1 4 5 11 1
104.0 1 2 2
103.0 1 2 3 1
102.0 1 2 14 17 4
101.5 1
101.0 8 16 16
100.5 1 3 1
99.5 2 7 9
99.0 1
98.5 1 12 13 1
98.0 1 2 1
97.5 2 4 2 1
97.0 2 5 6
96.0 1 1 13 12 1
95.5 1
95.0 3 6 36 31 3
94.5 9 2 1
94.0 1 2 4 2
93.5 6 7
93.0 1
92.5 1 22 20 1 1
92.0 1 2
91.5 4 12 6 3
91.0 2 6 7
90.5 1 10 5 2
90.0 4 12 8
89.5 1
89.0 2 5 34 22 5
88.5 2 4
88.0 15 4 1
87.5 2 2 6 12
87.0 5 2
86.5 1 4 15 14 2
86.0 1 1
85.5 1 2 15 15 1
85.0 5 2
84.5 2 2 8 11 1 1
84.0 3 18 14
83.5 3 4 1
83.0 1 2 22 13 2
82.5 3 4 1
82.0 1 2 12 10 1
81.5 2 6 5 2
81.0 1 8 8 1
80.5 25 7 1
80.0 6 2 1
79.5 1 17 9 1
79.0 2 2 6
78.5 20 7 1
78.0 3 15 8 1
77.5 2 6 8
77.0 4 16 13 4
76.5 1 6 1
76.0 1 1 15 9 3
75.5 1 2 8 3 1
75.0 9 10
74.5 3 12 8 4
74.0 2 2 3
73.5 2 11 13
73.0 3 8
72.5 2 14 9
72.0 3 15 5
71.5 1 6 3
71.0 1 9 8 1
70.5 1 3 2
70.0 1 19 6
69.5 3 5 1 1
69.0 6 9 2
68.5 2 17 5
68.0 2 4 2 1
67.5 4 7 6
67.0 1 1 3 1
66.5 2 8 5
66.0 1 9 8 2
65.5 8 3 1
65.0 2 6 6 1
64.5 7 3
64.0 3 9 1
63.5 1 4 1 1
63.0 3 7 4
62.5 2 7 5 3
62.0 3 6 2
61.5 1 4 6 3
61.0 2 1
60.5 4 3
60.0 3 6
59.5 6
59.0 1 6 3
58.5 1
58.0 7 8
57.5 4 4
57.0 3 1 1
56.5 2 7 4 1
56.0 1
55.5 5 1
55.0 3 3
54.5 2 3
54.0 1 5 3
53.5 1 1
53.0 2 2
52.5 5 1
52.0 5 2
51.0 1 3 1
50.5 1 2 3
50.0 2 1 1
49.5 2 5
48.5 1
48.0 1 5 3 1
47.5 1
46.5 1 1 1
45.5 2 1
45.0 2
44.5 2
44.0 2
43.5 2 3 1
43.0 1
42.0 5 2
41.5 1
41.0 1 3 1
40.5 1
40.0 1
38.5 1
37.0 1 1
36.5 1
36.0 4 2
35.0 1
34.5 1 1
32.0 2
30.0 3 1 1
29.5 1
26.5 1
25.5 1
24.0 1 1
22.0 1
18.0 1
6.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Washington
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 0.69 0.37 7.39* 0.86 0.43 0.25 0.01
2 6.62* 0.56 0.06 0.09 0.32 2.34 0.01
3 8.08* 0.28 0.03 1.19 0.26 0.17 0.00
4 8.91* 0.37 0.06 0.32 0.06 0.27 0.00
5 6.88* 0.85 0.23 0.23 0.19 1.62 0.00
6 0.09 8.55* 0.13 0.09 0.64 0.51 0.00
7 0.51 8.07* 0.45 0.40 0.12 0.46 0.00
8 0.20 0.23 0.26 0.44 6.30* 2.57 0.01
9 0.43 3.79* 0.32 0.67 0.45 4.33 0.00
10 2.84* 0.49 1.34 0.15 2.58 2.60 0.01
11 0.95 0.20 1.34 0.79 4.00* 2.72 0.00
12 0.67 0.46 0.28 0.92* 0.62 7.04 0.00
13 0.65 0.41 2.41* 0.27 0.31 5.96 0.00
14 0.20 0.58 2.16 1.64* 0.11 5.31 0.00
15 0.22 1.34* 0.85 0.30 0.18 7.12 0.00
16 0.20 0.18 0.70* 0.23 0.20 8.49 0.00
17 0.55 0.25 1.08* 1.67 0.39 6.06 0.00
18 0.56 0.71* 1.02 0.35 0.13 7.24 0.00
19 0.15 1.83* 0.18 1.36 0.32 6.16 0.00
20 0.13 0.29 0.21* 0.11 0.63 8.64 0.00
21 0.22 0.15 0.17* 0.10 0.09 9.27 0.00
22 0.15 0.28* 0.18 0.10 0.09 9.19 0.00
23 0.19 0.19 0.40 0.21 0.10* 8.92 0.00
24 0.18 0.15 0.15* 0.18 0.05 9.28 0.00
25 0.12 0.24* 0.15 0.28 0.06 9.14 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column