American Mathematics Competitions
2006 AMC 10 A Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1185
Number of unofficial participants: 16
Average score of participants: 73.5
Average score for female students is: 70.8 ( 532 Students)
Average score for male students is: 76.0 ( 600 Students)
Average score for unspecified gender is 72.8 ( 53 Students)
Average score for grade 10 is: 74.1 ( 676 Students)
Average score for grade 9 is: 72.2 ( 424 Students)
Average score for grade 8 and below is: 69.4 ( 42 Students)
Average score with unknown grade: 80.4 ( 43 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 48
Average school winning score 100.49
American Mathematics Competitions
2006 AMC 12 A Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1139
Number of unofficial participants: 9
Average score of participants: 79.4
Average score for female students is: 76.3 ( 465 Students)
Average score for male students is: 81.7 ( 632 Students)
Average score for unspecified gender is 79.0 ( 42 Students)
Average score for grade 12 is: 81.7 ( 428 Students)
Average score for grade 11 is: 78.2 ( 578 Students)
Average score for grade 10 is: 79.0 ( 69 Students)
Average score for grade 9 is: 75.1 ( 45 Students)
Average score for grade 8 and below is: 100.8 ( 2 Students)
Average score with unknown grade: 71.5 ( 17 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 119
Number of schools returning results 53
Average school winning score 102.08
Average school team score 277.26
American Mathematics Competitions
2006 AMC 10 B Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 403
Number of unofficial participants: 0
Average score of participants: 57.6
Average score for female students is: 55.8 ( 190 Students)
Average score for male students is: 59.7 ( 196 Students)
Average score for unspecified gender is 53.8 ( 17 Students)
Average score for grade 10 is: 57.8 ( 207 Students)
Average score for grade 9 is: 56.2 ( 179 Students)
Average score for grade 8 and below is: 74.4 ( 14 Students)
Average score with unknown grade: 55.0 ( 3 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 23
Average school winning score 86.67
American Mathematics Competitions
2006 AMC 12 B Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 504
Number of unofficial participants: 0
Average score of participants: 78.9
Average score for female students is: 75.1 ( 206 Students)
Average score for male students is: 81.5 ( 279 Students)
Average score for unspecified gender is 81.2 ( 19 Students)
Average score for grade 12 is: 80.5 ( 184 Students)
Average score for grade 11 is: 77.2 ( 233 Students)
Average score for grade 10 is: 79.3 ( 62 Students)
Average score for grade 9 is: 83.2 ( 17 Students)
Average score for grade 8 and below is: 82.2 ( 3 Students)
Average score with unknown grade: 75.1 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 44
Number of schools returning results 31
Average school winning score 101.89
Average school team score 270.55
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
384.0 1 1
369.0 1 2
350.5 1 3
348.0 1 4
336.5 2 5
334.0 1 7
331.5 1 8
330.5 1 1 9
329.5 1 11
327.0 2 12
326.0 1 14
321.5 1 15
320.5 1 16
320.0 1 17
318.5 2 18
318.0 1 20
317.5 1 21
314.5 2 22
314.0 1 24
313.0 1 25
307.5 1 26
307.0 1 27
306.5 1 28
305.5 1 29
305.0 1 30
304.5 1 31
303.5 1 32
302.0 1 33
301.0 1 34
299.0 1 35
295.5 2 36
295.0 1 38
292.5 1 39
292.0 1 40
289.0 1 41
288.0 1 42
285.0 1 43
283.0 1 44
282.5 2 45
280.5 1 47
279.0 1 48
278.5 1 49
277.5 1 50
277.0 1 51
274.5 1 52
274.0 1 53
271.0 1 54
270.5 1 55
267.5 2 1 56
267.0 1 59
266.5 1 60
264.0 1 61
263.5 1 62
261.0 1 63
257.5 1 64
256.5 1 65
256.0 1 66
255.5 1 67
253.0 1 68
251.0 1 69
249.0 1 70
243.5 1 71
241.5 1 72
237.0 1 73
234.0 1 74
230.5 1 75
203.0 1 76
200.5 1 77
122.0 1 78
106.5 1 79
105.0 1 80
77.5 1 81
75.5 1 82
74.5 1 83
72.5 1 84
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
132.0 1
130.0 2 1
129.0 1
125.0 1
124.0 1 1
122.0 2 2
120.5 1
119.5 1 2
118.5 2 1
117.0 1 2
116.0 2 2 1
115.5 1
115.0 1
114.5 1 1
114.0 1
112.5 9 3
112.0 3
111.5 4 2
111.0 1 5
110.0 4 1 1
109.5 2
109.0 11 3
108.5 1 3 1
108.0 2 3 1
107.5 1 5
107.0 1
106.5 9 2
105.5 9 3 1 2
105.0 5 1
104.5 2 2 1 1
104.0 6 4 1
103.5 1
103.0 15 4 3
102.5 3
102.0 11 3 2
101.5 2 7 1
101.0 5 6 2
100.5 13 2 5
100.0 3
99.5 14 5 6 1
99.0 4 2 1
98.5 12 6 6
98.0 6 2 5 2
97.5 1 1 1
97.0 11 4 5 1
96.5 1
96.0 14 8 9
95.5 1 6
95.0 10 6 5
94.5 21 9
94.0 3 3 4
93.5 22 2 6 1
93.0 2 5
92.5 16 8 5 1
92.0 7 5 2
91.5 8 6 7 1
91.0 16 6 11
90.5 4 7
90.0 17 11 15
89.5 6 8
89.0 21 19 9
88.5 18 2 12
88.0 5 5 8
87.5 12 6 14
87.0 9 3 8
86.5 17 4 12 2
86.0 8 1 4
85.5 13 10 12 2
85.0 21 3 11
84.5 7 11 11 1
84.0 19 3 21 1
83.5 2 4 10 1
83.0 31 11 15 1
82.5 4 2 8 2
82.0 14 12 15
81.5 19 4 9 3
81.0 9 8 11
80.5 20 6 15 3
80.0 10 3 9 3
79.5 11 7 10 1
79.0 17 1 16 2
78.5 8 14 12
78.0 16 7 16 1
77.5 5 3 12 2
77.0 20 8 18 2
76.5 16 1 11 1
76.0 12 9 18
75.5 18 8 15 3
75.0 10 11 17 2
74.5 15 12 16 4
74.0 12 3 19 1
73.5 6 11 22 8
73.0 12 3 11 2
72.5 10 9 16 2
72.0 5 7 23 4
71.5 9 4 12 2
71.0 25 17 17 5
70.5 7 2 11 4
70.0 8 6 16 5
69.5 15 3 10 3
69.0 11 8 15 1
68.5 10 9 17 3
68.0 10 4 8 4
67.5 9 2 16 3
67.0 11 4 16 3
66.5 7 4 15 2
66.0 16 5 17 4
65.5 8 4 8 3
65.0 15 4 23 6
64.5 4 5 10 2
64.0 9 4 6 1
63.5 7 4 6 2
63.0 9 3 11 7
62.5 12 6 6 6
62.0 6 6 12 6
61.5 8 4 16 9
61.0 7 1 6 6
60.5 8 1 19 4
60.0 8 4 10 7
59.5 3 2 5 6
59.0 8 2 11 6
58.5 9 2 6 2
58.0 6 2 7 4
57.5 5 1 10 6
57.0 4 1 8 3
56.5 8 2 12 6
56.0 7 3 7 7
55.5 3 2 6 6
55.0 2 1 11 3
54.5 4 3 6 4
54.0 8 1 13 5
53.5 6 10 9
53.0 4 4 3 2
52.5 3 1 4 8
52.0 6 1 3 6
51.5 2 3 11
51.0 1 2 5 4
50.5 1 1 8 6
50.0 3 1 2 2
49.5 2 2 7
49.0 1 1 2
48.5 3 1 5 9
48.0 6 1 5 7
47.5 3 1 5
47.0 4 1 4 4
46.5 1 3 5
46.0 1 2 2
45.5 1 6
45.0 2 3
44.5 2 8
44.0 2 1 3 2
43.5 1 1 4
43.0 1 1 1 1
42.5 1 1 1 4
42.0 3 9
41.5 3 1
41.0 3 5
40.5 1 2 2
40.0 1 2 1
39.5 1 1 4
39.0 1 1 1 2
38.5 1 2 9
38.0 1 2
37.5 1 3
37.0 2
36.5 1 1 2 1
36.0 1 8 3
35.5 1 1
35.0 1
34.5 2
34.0 1 1
33.0 1 1
32.5 1
32.0 1
31.5 1 1
31.0 1 1
30.5 1 1
30.0 1 5 2
29.0 2
28.5 1 4
27.0 1
26.5 1 1
25.5 1
25.0 1
24.5 1
24.0 3 1
23.5 1
22.0 2
18.5 1
18.0 1
12.0 2
American Mathematics Competitions
2006 AMC 10 A Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 2 1
149.5 124.5 99.5 4 2
149.0 124.0 1 99.0 1 1
148.5 123.5 98.5 4 2
148.0 123.0 98.0 3 2
147.5 122.5 97.5 1
147.0 122.0 97.0 1 4
146.5 121.5 96.5
146.0 121.0 96.0 7 2
145.5 120.5 1 95.5 5
145.0 120.0 95.0 3 2
144.5 119.5 94.5 6 3
144.0 119.0 94.0 2 2
143.5 118.5 93.5 4 2
143.0 118.0 93.0 3 2
142.5 117.5 92.5 3 2
142.0 117.0 2 92.0 2 2
141.5 116.5 91.5 5 2
141.0 116.0 1 91.0 9 2
140.5 115.5 1 90.5 5 2
140.0 115.0 90.0 9 5
139.5 114.5 89.5 5 2
139.0 114.0 1 89.0 4 4
138.5 113.5 88.5 6 6
138.0 113.0 88.0 4 4
137.5 112.5 87.5 9 4
137.0 112.0 2 1 87.0 6 2
136.5 111.5 86.5 5 6
136.0 111.0 5 86.0 3 1
135.5 110.5 85.5 5 6
135.0 110.0 1 85.0 5 6
134.5 109.5 2 84.5 5 6
134.0 109.0 84.0 11 7
133.5 108.5 3 83.5 7 3
133.0 108.0 83.0 8 7
132.5 107.5 3 2 82.5 4 4
132.0 1 107.0 1 82.0 8 7
131.5 106.5 2 81.5 3 6
131.0 106.0 81.0 4 6
130.5 105.5 1 80.5 8 6
130.0 1 105.0 80.0 5 4
129.5 104.5 1 79.5 3 6
129.0 1 104.0 2 79.0 9 6
128.5 103.5 1 78.5 8 3
128.0 103.0 2 1 78.0 7 8
127.5 102.5 2 77.5 8 4
127.0 102.0 1 1 77.0 10 8
126.5 101.5 5 2 76.5 7 4
126.0 101.0 2 76.0 9 8
125.5 100.5 3 2 75.5 10 5
American Mathematics Competitions
2006 AMC 10 A Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 9 7 50.0 1 25.0
74.5 10 6 49.5 1 1 24.5
74.0 13 6 49.0 1 24.0 1 2
73.5 11 11 48.5 2 3 23.5
73.0 7 4 48.0 1 2 23.0
72.5 10 6 47.5 1 22.5
72.0 15 8 47.0 3 1 22.0
71.5 5 5 46.5 3 21.5
71.0 6 10 46.0 21.0
70.5 2 8 45.5 1 20.5
70.0 7 7 45.0 1 20.0
69.5 4 6 44.5 1 19.5
69.0 6 8 44.0 1 2 19.0
68.5 10 6 43.5 18.5
68.0 4 4 43.0 1 18.0 1
67.5 5 11 42.5 1 17.5
67.0 8 8 42.0 7 2 17.0
66.5 7 8 41.5 3 16.5
66.0 6 11 41.0 16.0
65.5 3 5 40.5 1 1 15.5
65.0 12 9 40.0 1 1 15.0
64.5 3 7 39.5 1 14.5
64.0 1 5 39.0 1 14.0
63.5 5 1 38.5 2 13.5
63.0 4 6 38.0 13.0
62.5 2 4 37.5 1 12.5
62.0 6 6 37.0 2 12.0
61.5 4 11 36.5 1 1 11.5
61.0 2 3 36.0 6 2 11.0
60.5 8 9 35.5 1 10.5
60.0 7 2 35.0 10.0
59.5 3 2 34.5 9.5
59.0 4 6 34.0 1 9.0
58.5 2 4 33.5 8.5
58.0 2 5 33.0 1 8.0
57.5 3 6 32.5 1 7.5
57.0 3 4 32.0 7.0
56.5 3 9 31.5 1 6.5
56.0 3 2 31.0 1 6.0
55.5 4 2 30.5 5.5
55.0 4 7 30.0 4 1 5.0
54.5 3 2 29.5 4.5
54.0 4 9 29.0 2 4.0
53.5 6 3 28.5 1 3.5
53.0 1 2 28.0 3.0
52.5 1 3 27.5 2.5
52.0 3 27.0 2.0
51.5 2 1 26.5 1.5
51.0 1 4 26.0 1.0
50.5 3 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
132.0 1
130.0 1
129.0 1
124.0 1
120.5 1
117.0 1 1
116.0 1
115.5 1
114.5 1
114.0 1
112.0 1 2
111.0 1 3 1
110.0 1
109.5 1 1
108.5 1 1 1
108.0 1
107.5 1 3 1
107.0 1
106.5 1 1
105.5 1
104.5 1
104.0 1 2 1
103.5 1
103.0 2 1
102.5 1 2
102.0 2
101.5 3 4
101.0 1 1
100.5 2 2 1
100.0 2 1
99.5 6
99.0 2
98.5 1 4 1
98.0 1 3 1
97.5 1
97.0 2 3
96.0 6 2 1
95.5 2 3 1
95.0 3 2
94.5 1 1 6 1
94.0 4
93.5 1 5
93.0 1 4
92.5 3 2
92.0 2 3
91.5 4 3
91.0 5 5 1
90.5 2 1 4
90.0 1 2 12
89.5 1 2 4 1
89.0 2 6 1
88.5 1 4 7
88.0 3 5
87.5 1 5 8
87.0 4 4
86.5 6 6
86.0 4
85.5 4 7 1
85.0 3 8
84.5 5 5 1
84.0 8 12 1
83.5 1 9
83.0 2 8 5
82.5 2 6
82.0 1 5 9
81.5 1 8
81.0 3 6 2
80.5 8 7
80.0 1 8
79.5 3 7
79.0 1 8 6 1
78.5 1 4 7
78.0 3 13
77.5 3 8 1
77.0 11 7
76.5 2 8 1
76.0 1 4 13
75.5 3 11 1
75.0 6 10 1
74.5 1 4 10 1
74.0 5 14
73.5 8 14
73.0 5 6
72.5 1 4 11
72.0 10 13
71.5 7 4 1
71.0 1 6 10
70.5 6 4 1
70.0 6 10
69.5 3 7
69.0 1 6 8
68.5 2 8 7
68.0 4 4
67.5 1 11 4
67.0 4 11 1
66.5 1 5 9
66.0 1 2 14
65.5 4 4
65.0 12 10 1
64.5 1 3 6
64.0 4 2
63.5 4 2
63.0 4 6 1
62.5 2 4
62.0 1 5 5 1
61.5 7 9
61.0 1 5
60.5 1 4 14
60.0 1 4 5
59.5 1 4
59.0 1 1 4 5
58.5 3 3
58.0 5 1 1
57.5 3 6 1
57.0 1 4 3
56.5 1 1 6 4
56.0 3 4
55.5 3 3
55.0 4 7
54.5 1 1 4
54.0 5 7 1
53.5 1 4 5
53.0 2 1
52.5 2 2
52.0 2 1
51.5 2 1
51.0 1 4
50.5 2 4 2
50.0 1 1
49.5 1 1
49.0 1
48.5 2 2 1
48.0 1 3 1
47.5 1
47.0 1 1 2
46.5 1 2
45.5 1
45.0 2
44.5 1 1
44.0 1 1 1
43.5 1
43.0 1
42.5 1
42.0 5 4
41.5 3
40.5 2
40.0 2
39.5 1
39.0 1
38.5 2
37.5 1
37.0 1 1
36.5 1 1
36.0 2 6
35.5 1
34.0 1
33.0 1
32.5 1
31.5 1
31.0 1
30.0 2 3
29.0 2
28.5 1
24.0 1 1 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Kansas
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* 0.02 0.04 0.03 0.00 0.00 0.00
2 0.97 0.18 1.61* 0.23 2.42 4.59 0.00
3 0.15 7.70* 0.13 0.09 1.73 0.19 0.01
4 2.39 0.21 0.11 0.20 6.47* 0.61 0.01
5 0.25 1.18 1.15 6.68* 0.30 0.44 0.00
6 0.25 7.73* 0.45 0.20 0.06 1.31 0.00
7 7.47* 0.10 0.35 0.35 0.18 1.54 0.00
8 1.11 0.50 0.46 0.19 1.38* 6.38 0.00
9 1.81 1.34 4.96* 0.34 0.35 1.20 0.00
10 0.31 0.25 0.70 2.02 0.55* 6.17 0.00
11 1.42 1.64 1.40* 0.67 0.84 4.04 0.00
12 1.05 0.48 4.32* 1.06 0.46 2.62 0.00
13 0.41 1.24 0.51 4.46* 0.16 3.22 0.00
14 1.84 3.28* 0.32 1.08 0.89 2.59 0.00
15 0.90 0.46 0.43 1.28* 0.55 6.38 0.00
16 0.41 0.34 0.36 0.34* 0.75 7.80 0.00
17 1.65* 0.50 0.33 0.52 0.33 6.67 0.00
18 2.88 0.19 2.34* 0.47 0.25 3.86 0.00
19 0.46 1.33 0.63* 0.34 0.45 6.78 0.00
20 0.46 1.42 0.44 0.45 0.40* 6.84 0.00
21 1.00 0.63 0.42 0.70 1.13* 6.12 0.00
22 0.11 0.84 3.03* 3.85 0.89 1.28 0.00
23 0.86 1.03* 0.19 0.28 0.68 6.96 0.00
24 1.05 0.26* 0.34 0.30 0.41 7.65 0.00
25 2.12 0.89 0.46* 0.57 0.30 5.67 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2006 AMC 12 A Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
149.5 124.5 99.5 9 5
149.0 124.0 99.0 3 1
148.5 123.5 98.5 4 7
148.0 123.0 98.0 5 1
147.5 122.5 97.5 1
147.0 122.0 1 1 97.0 9 2
146.5 121.5 96.5 1
146.0 121.0 96.0 7 5
145.5 120.5 95.5 1
145.0 120.0 95.0 4 6
144.5 119.5 94.5 10 10
144.0 119.0 94.0 2 1
143.5 118.5 2 93.5 11 10
143.0 118.0 93.0 2
142.5 117.5 92.5 10 6
142.0 117.0 1 92.0 5 2
141.5 116.5 91.5 4 3
141.0 116.0 2 91.0 12 4
140.5 115.5 90.5 2 1
140.0 115.0 90.0 7 10
139.5 114.5 89.5 6
139.0 114.0 89.0 11 10
138.5 113.5 88.5 15 3
138.0 113.0 88.0 2 3
137.5 112.5 6 3 87.5 9 3
137.0 112.0 87.0 6 3
136.5 111.5 3 86.5 10 5
136.0 111.0 1 86.0 7 1
135.5 110.5 85.5 6 7
135.0 110.0 3 1 85.0 16 5
134.5 109.5 84.5 2 5
134.0 109.0 7 3 84.0 11 7
133.5 108.5 1 83.5 1 1
133.0 108.0 1 1 83.0 15 13
132.5 107.5 1 82.5 3 1
132.0 107.0 82.0 8 6
131.5 106.5 3 6 81.5 9 7
131.0 106.0 81.0 5 4
130.5 105.5 8 80.5 14 6
130.0 105.0 5 80.0 5 5
129.5 104.5 2 79.5 6 5
129.0 104.0 5 1 79.0 8 9
128.5 103.5 78.5 7 1
128.0 103.0 11 4 78.0 9 6
127.5 102.5 77.5 3 2
127.0 102.0 9 1 77.0 12 8
126.5 101.5 1 1 76.5 8 8
126.0 101.0 2 2 76.0 9 3
125.5 100.5 10 3 75.5 9 8
American Mathematics Competitions
2006 AMC 12 A Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 3 50.0 1 2 25.0
74.5 10 4 49.5 2 24.5
74.0 5 7 49.0 1 24.0
73.5 2 4 48.5 1 2 23.5
73.0 9 2 48.0 2 4 23.0
72.5 4 4 47.5 1 2 22.5
72.0 1 2 47.0 4 22.0
71.5 3 6 46.5 21.5
71.0 11 13 46.0 1 21.0
70.5 4 2 45.5 20.5
70.0 4 4 45.0 20.0
69.5 8 7 44.5 19.5
69.0 9 2 44.0 1 1 19.0
68.5 5 4 43.5 18.5
68.0 7 3 43.0 1 18.0
67.5 4 5 42.5 1 17.5
67.0 7 4 42.0 1 1 17.0
66.5 7 41.5 16.5
66.0 5 10 41.0 2 1 16.0
65.5 4 4 40.5 15.5
65.0 10 5 40.0 1 15.0
64.5 1 2 39.5 14.5
64.0 4 5 39.0 1 14.0
63.5 5 2 38.5 1 13.5
63.0 5 4 38.0 13.0
62.5 8 4 37.5 12.5
62.0 1 5 37.0 12.0
61.5 3 5 36.5 11.5
61.0 1 6 36.0 1 11.0
60.5 4 4 35.5 10.5
60.0 3 4 35.0 10.0
59.5 2 1 34.5 9.5
59.0 5 3 34.0 9.0
58.5 4 4 33.5 8.5
58.0 5 1 33.0 8.0
57.5 2 3 32.5 7.5
57.0 1 3 32.0 7.0
56.5 2 5 31.5 1 6.5
56.0 5 2 31.0 6.0
55.5 3 30.5 1 5.5
55.0 1 1 30.0 5.0
54.5 3 1 29.5 4.5
54.0 3 5 29.0 4.0
53.5 2 4 28.5 3.5
53.0 1 3 28.0 3.0
52.5 1 2 27.5 2.5
52.0 3 3 27.0 2.0
51.5 1 1 26.5 1 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 Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
125.0 1
122.0 1 1
119.5 1
118.5 2
117.0 1
116.0 1 1
112.5 5 4
111.5 1 2 1
111.0 1
110.0 1 3
109.0 2 3 5 1
108.5 1
108.0 1 1
107.5 1
106.5 2 1 6
105.5 1 7 1
105.0 2 1 2
104.5 1 1
104.0 1 1 4
103.0 1 6 8
102.0 1 6 4
101.5 2
101.0 2 3
100.5 4 9
99.5 10 4
99.0 2 2
98.5 1 8 3
98.0 4 2
97.5 1
97.0 1 6 4
96.5 1
96.0 1 2 4 7
95.5 1
95.0 1 4 5
94.5 1 14 5 1
94.0 1 1 1
93.5 2 11 9
93.0 2
92.5 1 1 12 2
92.0 2 5
91.5 2 1 5
91.0 9 7
90.5 1 3
90.0 1 1 9 5 1
89.5 4 2
89.0 1 3 8 8 1
88.5 8 10
88.0 1 4
87.5 2 2 4 4
87.0 4 5
86.5 3 8 6
86.0 3 4 1
85.5 1 1 8 3
85.0 1 10 10
84.5 1 1 5
84.0 1 1 10 7
83.5 1 1
83.0 1 2 16 12
82.5 4
82.0 1 1 5 6 1
81.5 2 8 9
81.0 7 2
80.5 1 1 14 4
80.0 7 3
79.5 1 5 5
79.0 2 10 5
78.5 2 2 4
78.0 2 8 5 1
77.5 1 1 1 2
77.0 1 12 7
76.5 1 1 8 6
76.0 1 8 3
75.5 11 7
75.0 1 4 5
74.5 2 8 5
74.0 1 4 7
73.5 1 2 3
73.0 4 8
72.5 1 6 2 1
72.0 1 1 2 1
71.5 1 4 4
71.0 13 11 1
70.5 4 3
70.0 2 5 1
69.5 1 10 4
69.0 4 7
68.5 7 2 1
68.0 1 5 4
67.5 2 5 2
67.0 7 4
66.5 4 3
66.0 1 10 4 1
65.5 1 4 3
65.0 2 8 5
64.5 3 1
64.0 5 4
63.5 1 4 2
63.0 1 1 6 1
62.5 1 8 2 1
62.0 2 4
61.5 1 5 2
61.0 7
60.5 1 3 4
60.0 4 4
59.5 1 1 1
59.0 1 3 4
58.5 2 2 4 1
58.0 2 1 3
57.5 2 3
57.0 1 1 2
56.5 4 4
56.0 1 1 4 1
55.5 2 1
55.0 1 1
54.5 2 2
54.0 6 2
53.5 2 3 1
53.0 1 3
52.5 1 1 1
52.0 2 1 2 1
51.5 2
51.0 1
50.5 1
50.0 3
49.5 1 1
49.0 1
48.5 1 2
48.0 6
47.5 1 1 1
47.0 1 2 1
46.5 1
46.0 1
44.0 2
43.0 1
42.5 1
42.0 3
41.0 3
40.0 1
39.0 1
38.5 1
36.5 1
36.0 1
31.5 1
30.5 1
30.0 1
26.5 1
American Mathematics Competitions
2006 AMC 12 A Results for Kansas
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 9.89* 0.03 0.03 0.05 0.00 0.00 0.00
2 1.20 0.16 3.35* 0.12 1.22 3.94 0.01
3 0.05 8.28* 0.04 0.10 1.38 0.14 0.02
4 2.08 0.16 0.04 0.06 7.05* 0.61 0.00
5 0.22 0.89 1.02 7.30* 0.23 0.34 0.01
6 7.45* 0.10 0.41 0.24 0.32 1.47 0.00
7 0.58 4.75* 0.97 0.48 0.52 2.70 0.00
8 1.09 1.46 5.87* 0.36 0.18 1.03 0.01
9 7.76* 0.18 0.10 0.08 0.28 1.59 0.02
10 0.34 0.24 0.71 2.89 1.20* 4.62 0.00
11 1.64 0.94 1.54* 1.36 0.66 3.86 0.00
12 1.56 4.58* 0.19 0.88 0.48 2.30 0.00
13 0.79 0.17 0.17 0.13 4.77* 3.96 0.02
14 0.04 0.54 4.21* 3.13 0.68 1.40 0.00
15 2.37* 1.65 0.55 0.41 1.43 3.58 0.00
16 0.48 2.36* 0.15 0.25 0.65 6.11 0.00
17 0.38 0.48* 0.49 0.36 0.11 8.17 0.00
18 1.11 0.13 0.34 0.61 0.34* 7.47 0.00
19 0.12 0.13 0.22 0.11 0.22* 9.20 0.00
20 1.91 0.56 0.40* 0.37 0.16 6.61 0.00
21 0.11 0.15 0.50 0.13 0.12* 8.99 0.00
22 0.11 0.18 0.18 0.23* 0.04 9.26 0.01
23 0.12 0.11* 0.29 0.12 0.17 9.19 0.00
24 1.47 0.15 0.18 0.25* 0.11 7.85 0.00
25 0.12 0.19 0.20 0.20 0.14* 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
American Mathematics Competitions
2006 AMC 10 B Results for Kansas
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 1
148.5 123.5 98.5
148.0 123.0 98.0 2
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
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 2
141.5 116.5 91.5 1
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
138.0 113.0 88.0
137.5 112.5 87.5
137.0 112.0 87.0
136.5 111.5 86.5 1 1
136.0 111.0 86.0
135.5 110.5 85.5 1 1
135.0 110.0 85.0
134.5 109.5 84.5 1
134.0 109.0 84.0 1
133.5 108.5 1 83.5 1
133.0 108.0 83.0 1
132.5 107.5 82.5 2
132.0 107.0 82.0
131.5 106.5 81.5 2 1
131.0 106.0 81.0
130.5 105.5 2 80.5 2 1
130.0 105.0 1 80.0 1 2
129.5 104.5 1 79.5 1
129.0 104.0 1 79.0 2
128.5 103.5 78.5
128.0 103.0 78.0 1
127.5 102.5 77.5 1 1
127.0 102.0 77.0 2
126.5 101.5 76.5 1
126.0 101.0 76.0
125.5 100.5 75.5 2 1
American Mathematics Competitions
2006 AMC 10 B Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 1 50.0 1 1 25.0
74.5 4 49.5 3 4 24.5
74.0 1 49.0 1 1 24.0 1
73.5 6 1 48.5 2 7 23.5 1
73.0 1 1 48.0 4 3 23.0
72.5 1 1 47.5 1 4 22.5
72.0 4 47.0 2 2 22.0 2
71.5 2 46.5 4 1 21.5
71.0 5 46.0 1 21.0
70.5 4 45.5 3 3 20.5
70.0 1 4 45.0 3 20.0
69.5 2 1 44.5 1 7 19.5
69.0 1 44.0 1 1 19.0
68.5 1 2 43.5 2 2 18.5 1
68.0 3 1 43.0 1 18.0
67.5 1 2 42.5 1 2 17.5
67.0 1 2 42.0 17.0
66.5 1 1 41.5 1 16.5
66.0 3 1 41.0 2 3 16.0
65.5 2 1 40.5 1 1 15.5
65.0 5 1 40.0 1 15.0
64.5 1 1 39.5 1 3 14.5
64.0 1 39.0 2 14.0
63.5 1 1 38.5 5 4 13.5
63.0 2 5 38.0 1 1 13.0
62.5 2 4 37.5 3 12.5
62.0 3 2 37.0 12.0 2
61.5 5 4 36.5 1 11.5
61.0 5 1 36.0 2 1 11.0
60.5 2 2 35.5 10.5
60.0 2 4 35.0 1 10.0
59.5 3 2 34.5 1 1 9.5
59.0 3 3 34.0 1 9.0
58.5 1 1 33.5 8.5
58.0 4 33.0 1 8.0
57.5 4 2 32.5 7.5
57.0 3 32.0 1 7.0
56.5 1 5 31.5 6.5
56.0 3 4 31.0 1 6.0
55.5 1 5 30.5 1 5.5
55.0 2 30.0 1 5.0
54.5 4 29.5 4.5
54.0 4 1 29.0 4.0
53.5 3 6 28.5 2 2 3.5
53.0 2 28.0 3.0
52.5 3 4 27.5 2.5
52.0 4 1 27.0 1 2.0
51.5 7 3 26.5 1 1.5
51.0 3 1 26.0 1.0
50.5 1 4 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
108.5 1
105.5 1 1
105.0 1
104.5 1
104.0 1
101.5 1
99.5 1
99.0 1
98.0 1 1
97.0 1
93.5 1
92.5 1
92.0 2
91.5 1
86.5 2
85.5 2
84.5 1
84.0 1
83.5 1
83.0 1
82.5 1 1
81.5 2 1
80.5 3
80.0 2 1
79.5 1
79.0 1 1
78.0 1
77.5 2
77.0 1 1
76.5 1
75.5 1 2
75.0 1 1
74.5 2 2
74.0 1
73.5 1 1 6
73.0 2
72.5 2
72.0 1 3
71.5 1 1
71.0 3 2
70.5 2 2
70.0 1 1 2 1
69.5 1 2
69.0 1
68.5 2 1
68.0 2 2
67.5 3
67.0 2 1
66.5 1 1
66.0 4
65.5 1 2
65.0 1 2 3
64.5 1 1
64.0 1
63.5 1 1
63.0 4 3
62.5 5 1
62.0 1 5
61.5 5 4
61.0 1 2 3
60.5 3 1
60.0 1 4 2
59.5 1 5
59.0 3 3
58.5 2
58.0 3 1
57.5 1 5
57.0 1 2
56.5 2 4
56.0 2 5
55.5 4 2
55.0 1 2
54.5 2 2
54.0 2 3
53.5 2 7
53.0 1 1
52.5 6 2
52.0 4 2
51.5 4 7
51.0 4
50.5 2 4
50.0 2
49.5 1 6
49.0 1 1
48.5 5 4
48.0 4 3
47.5 5
47.0 2 2
46.5 4 1
46.0 1 1
45.5 3 3
45.0 2 1
44.5 4 4
44.0 2
43.5 4
43.0 1
42.5 4
41.5 1
41.0 3 2
40.5 2
40.0 1
39.5 3 1
39.0 1 1
38.5 4 5
38.0 2
37.5 3
36.5 1
36.0 3
35.5 1
35.0 1
34.5 2
34.0 1
33.0 1
32.0 1
31.0 1
30.5 1
30.0 2
28.5 3 1
27.0 1
26.5 1
25.0 1
24.5 1
24.0 1
23.5 1
22.0 1 1
18.5 1
12.0 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Kansas
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 1.12 0.60 3.05* 2.68 1.12 1.44 0.00
2 2.83* 0.67 0.10 0.25 0.25 5.91 0.00
3 6.53* 0.52 0.07 2.31 0.25 0.32 0.00
4 1.71 2.63 0.45 1.32* 1.81 2.08 0.00
5 0.94 4.22* 1.99 0.35 0.07 2.43 0.00
6 0.45 0.17 3.65 1.59* 0.52 3.62 0.00
7 1.19* 1.36 1.12 1.24 0.60 4.47 0.02
8 1.29 0.69* 0.40 1.29 0.67 5.66 0.00
9 0.27 5.76* 0.30 0.10 2.08 1.49 0.00
10 1.74* 0.10 1.91 0.35 1.94 3.97 0.00
11 0.42 0.79 1.27* 0.50 0.20 6.82 0.00
12 0.27 0.42 0.25 0.52 3.00* 5.53 0.00
13 0.77 0.37 2.80 0.65 1.76* 3.65 0.00
14 0.20 0.27 0.17 0.35* 0.07 8.93 0.00
15 0.97 0.35 1.14* 0.30 0.30 6.95 0.00
16 2.61 0.50 2.06 0.89 0.99* 2.95 0.00
17 3.35 0.94 1.81 1.32* 0.25 2.33 0.00
18 0.69 0.30 0.62 0.30 0.40* 7.69 0.00
19 0.20* 0.52 0.22 0.22 0.17 8.66 0.00
20 0.50 0.22 0.35 0.52 0.37* 8.04 0.00
21 0.60 0.45 0.60* 2.18 0.79 5.38 0.00
22 0.25 0.67 2.08 0.52* 0.12 6.35 0.00
23 0.32 0.89 0.15 0.52* 0.15 7.97 0.00
24 0.12 0.40* 0.69 0.40 0.20 8.19 0.00
25 0.30 1.79* 0.32 2.01 0.40 5.19 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 Kansas
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 4 1
149.0 124.0 1 99.0
148.5 123.5 98.5 6
148.0 123.0 98.0 1 1
147.5 122.5 97.5 1
147.0 122.0 2 97.0 4
146.5 121.5 96.5
146.0 121.0 96.0 6 2
145.5 120.5 95.5
145.0 120.0 95.0 4 2
144.5 119.5 1 1 94.5
144.0 119.0 94.0 2 1
143.5 118.5 1 93.5 2
143.0 118.0 93.0
142.5 117.5 92.5 7 1
142.0 117.0 92.0
141.5 116.5 91.5 4 1
141.0 116.0 1 91.0 6
140.5 115.5 90.5
140.0 115.0 1 90.0 9 2
139.5 114.5 1 89.5
139.0 114.0 89.0 13 5
138.5 113.5 88.5 2
138.0 113.0 88.0 2 3
137.5 112.5 3 87.5 2 4
137.0 112.0 87.0 1 1
136.5 111.5 2 86.5 2 2
136.0 111.0 86.0 1
135.5 110.5 85.5 5 4
135.0 110.0 1 85.0 2 1
134.5 109.5 84.5 7 2
134.0 109.0 1 2 84.0 1 2
133.5 108.5 83.5 1 2
133.0 108.0 3 83.0 8 2
132.5 107.5 82.5 2
132.0 107.0 82.0 7 5
131.5 106.5 81.5 4
131.0 106.0 81.0 2 5
130.5 105.5 2 1 80.5 5 1
130.0 1 1 105.0 80.0 2 1
129.5 104.5 2 79.5 4 3
129.0 104.0 79.0 1
128.5 103.5 78.5 8 6
128.0 103.0 3 1 78.0 2 5
127.5 102.5 77.5 2 1
127.0 102.0 1 1 77.0 8
126.5 101.5 76.5 1
126.0 101.0 3 2 76.0 3 5
125.5 100.5 2 75.5 5 3
American Mathematics Competitions
2006 AMC 12 B Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 8 50.0 1 25.0
74.5 6 6 49.5 24.5
74.0 1 2 49.0 24.0
73.5 8 3 48.5 1 23.5
73.0 2 1 48.0 1 23.0
72.5 4 5 47.5 22.5
72.0 4 3 47.0 1 22.0
71.5 1 3 46.5 21.5
71.0 6 11 46.0 1 1 21.0
70.5 2 45.5 20.5
70.0 4 1 45.0 20.0
69.5 1 2 44.5 19.5
69.0 5 3 44.0 1 19.0
68.5 4 5 43.5 18.5
68.0 1 3 43.0 1 18.0
67.5 1 1 42.5 1 17.5
67.0 4 42.0 17.0
66.5 1 3 41.5 16.5
66.0 2 2 41.0 16.0
65.5 2 2 40.5 1 15.5
65.0 1 2 40.0 15.0
64.5 3 2 39.5 1 14.5
64.0 2 2 39.0 1 14.0
63.5 2 2 38.5 13.5
63.0 3 38.0 1 13.0
62.5 2 4 37.5 12.5
62.0 3 3 37.0 12.0
61.5 1 3 36.5 1 11.5
61.0 1 36.0 11.0
60.5 1 35.5 10.5
60.0 1 3 35.0 10.0
59.5 1 1 34.5 9.5
59.0 1 34.0 9.0
58.5 2 33.5 8.5
58.0 1 1 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 2 31.5 6.5
56.0 2 1 31.0 6.0
55.5 2 30.5 5.5
55.0 1 30.0 5.0
54.5 3 29.5 4.5
54.0 1 29.0 4.0
53.5 28.5 3.5
53.0 2 2 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 2 26.0 1.0
50.5 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
130.0 2
124.0 1
122.0 1 1
119.5 1 1
118.5 1
116.0 1 1
115.0 1
114.5 1
112.5 1 2
111.5 1 1
110.0 1
109.0 1 1 1
108.0 1 2
105.5 3
104.5 1 1
103.0 1 3
102.0 2 1
101.0 3 3
100.5 2
99.5 1 3 1
98.5 1 1 4
98.0 2
97.5 1
97.0 3 1
96.0 1 3 4
95.0 1 3 2
94.0 2 1
93.5 1 1
92.5 1 4 3
91.5 1 1 2 2
91.0 3 3
90.0 2 2 7
89.0 1 3 7 8
88.5 2
88.0 2 2 1
87.5 1 4 1
87.0 1 2
86.5 1 2 1
86.0 1
85.5 1 4 5
85.0 3
84.5 1 8 2
84.0 1 1 1
83.5 1 3
83.0 1 5 5
82.5 1 1
82.0 1 4 7
81.5 1 1 2
81.0 2 3 3
80.5 1 2 3
80.0 3
79.5 1 2 4
79.0 1
78.5 1 2 9 2
78.0 1 4 2
77.5 3
77.0 1 1 3 3
76.5 1
76.0 5 4
75.5 1 4 3
75.0 3 3 4 1
74.5 5 7
74.0 1 2
73.5 1 5 5
73.0 2 1
72.5 5 3 1
72.0 1 5 1
71.5 1 3
71.0 4 6 6 1
70.5 1 1
70.0 1 1 1 3
69.5 3
69.0 1 5 2
68.5 2 2 4 1
68.0 1 3
67.5 2
67.0 3 1
66.5 1 1 2
66.0 3 2
65.5 1 3
65.0 1 3
64.5 1 4
64.0 1 2 1
63.5 1 3
63.0 3
62.5 1 3 2
62.0 4 2
61.5 1 2 1
61.0 1
60.5 1
60.0 2 2
59.5 1 1
59.0 1 1
58.5 1 1
58.0 2
57.5 1
57.0 1
56.5 1 1
56.0 1 1 1
55.5 2
55.0 1
54.5 3
54.0 1
53.0 1 2 1
52.5 1
52.0 1
51.0 2
50.5 1
50.0 1
48.5 1
48.0 1
47.0 1
46.0 1 1
44.0 1
43.5 1
43.0 1
42.5 1
40.5 1
39.5 1
39.0 1
38.0 1
36.5 1
25.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Kansas
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 0.91 0.44 6.61* 1.27 0.48 0.28 0.02
2 5.93* 0.65 0.06 0.04 0.30 3.02 0.00
3 8.31* 0.18 0.02 0.99 0.26 0.24 0.00
4 9.15* 0.20 0.14 0.18 0.02 0.32 0.00
5 6.09* 0.99 0.22 0.32 0.26 2.12 0.00
6 0.04 8.10* 0.10 0.08 0.83 0.85 0.00
7 0.52 7.86* 0.46 0.44 0.08 0.65 0.00
8 0.16 0.44 0.24 0.56 5.71* 2.90 0.00
9 0.42 3.27* 0.28 0.79 0.44 4.80 0.00
10 2.18* 0.38 1.29 0.16 2.80 3.19 0.00
11 0.89 0.10 1.39 0.62 3.35* 3.65 0.00
12 0.63 0.56 0.36 0.52* 0.60 7.34 0.00
13 0.56 0.44 2.08* 0.30 0.42 6.21 0.00
14 0.36 0.50 2.30 1.31* 0.14 5.40 0.00
15 0.10 1.23* 0.83 0.28 0.14 7.42 0.00
16 0.14 0.06 0.63* 0.22 0.20 8.75 0.00
17 0.58 0.16 0.91* 1.73 0.60 6.03 0.00
18 0.60 0.62* 0.89 0.42 0.14 7.34 0.00
19 0.22 1.81* 0.18 1.41 0.18 6.21 0.00
20 0.20 0.24 0.12* 0.06 0.50 8.87 0.02
21 0.22 0.22 0.04* 0.14 0.06 9.33 0.00
22 0.18 0.26* 0.14 0.10 0.04 9.29 0.00
23 0.18 0.22 0.42 0.24 0.08* 8.87 0.00
24 0.10 0.10 0.10* 0.16 0.06 9.48 0.00
25 0.06 0.28* 0.20 0.24 0.06 9.17 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column