American Mathematics Competitions
2005 AMC 10 A Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1247
Number of unofficial participants: 11
Average score of participants: 64.7
Average score for female students is: 62.4 ( 568 Students)
Average score for male students is: 67.1 ( 617 Students)
Average score for unspecified gender is 62.6 ( 62 Students)
Average score for grade 10 is: 67.6 ( 640 Students)
Average score for grade 9 is: 61.1 ( 536 Students)
Average score for grade 8 and below is: 67.4 ( 51 Students)
Average score with unknown grade: 62.3 ( 20 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 52
Average school winning score 94.10
American Mathematics Competitions
2005 AMC 12 A Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1053
Number of unofficial participants: 12
Average score of participants: 73.4
Average score for female students is: 70.4 ( 433 Students)
Average score for male students is: 76.3 ( 560 Students)
Average score for unspecified gender is 67.8 ( 60 Students)
Average score for grade 12 is: 76.6 ( 452 Students)
Average score for grade 11 is: 71.0 ( 515 Students)
Average score for grade 10 is: 75.4 ( 26 Students)
Average score for grade 9 is: 76.2 ( 25 Students)
Average score for grade 8 and below is: 77.3 ( 2 Students)
Average score with unknown grade: 64.0 ( 33 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 57
Number of schools returning results 52
Average school winning score 97.54
Average school team score 274.84
American Mathematics Competitions
2005 AMC 10 B Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 461
Number of unofficial participants: 0
Average score of participants: 69.1
Average score for female students is: 66.0 ( 189 Students)
Average score for male students is: 71.5 ( 247 Students)
Average score for unspecified gender is 69.6 ( 25 Students)
Average score for grade 10 is: 69.6 ( 241 Students)
Average score for grade 9 is: 68.1 ( 201 Students)
Average score for grade 8 and below is: 71.9 ( 15 Students)
Average score with unknown grade: 78.3 ( 4 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 21
Average school winning score 96.71
American Mathematics Competitions
2005 AMC 12 B Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 614
Number of unofficial participants: 0
Average score of participants: 78.9
Average score for female students is: 76.8 ( 243 Students)
Average score for male students is: 80.9 ( 348 Students)
Average score for unspecified gender is 72.0 ( 23 Students)
Average score for grade 12 is: 80.9 ( 223 Students)
Average score for grade 11 is: 78.0 ( 271 Students)
Average score for grade 10 is: 77.4 ( 90 Students)
Average score for grade 9 is: 75.3 ( 22 Students)
Average score for grade 8 and below is: 82.6 ( 4 Students)
Average score with unknown grade: 81.8 ( 4 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 38
Number of schools returning results 34
Average school winning score 100.07
Average school team score 273.46
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
376.0 1 1
350.5 1 2
345.5 1 3
337.0 1 4
332.0 1 5
330.5 1 6
328.0 1 7
323.0 1 8
318.5 1 1 9
317.5 1 11
314.0 1 12
313.0 2 1 13
310.5 1 16
309.5 1 17
308.5 1 18
307.5 1 19
306.5 1 20
304.5 1 21
302.5 1 22
301.0 1 23
300.5 1 24
297.0 1 25
296.5 1 26
296.0 1 27
295.5 1 28
295.0 1 29
294.5 1 30
294.0 1 31
293.0 1 32
291.0 1 33
290.0 1 1 34
286.0 1 36
285.0 1 37
284.0 2 38
283.5 1 40
282.5 1 41
281.0 1 42
280.0 1 43
279.5 1 44
279.0 1 45
278.5 2 46
277.5 1 48
275.5 1 49
274.0 1 50
273.5 1 51
270.5 1 52
269.0 1 53
268.0 1 54
264.5 2 55
264.0 1 1 57
262.5 1 59
261.5 1 60
258.0 1 61
256.5 1 62
255.5 1 63
255.0 1 64
253.0 1 65
250.5 2 66
250.0 1 68
247.0 1 69
240.5 1 70
239.0 1 71
238.5 1 72
234.0 1 73
233.5 1 74
232.0 1 75
229.5 1 76
225.0 1 77
222.5 1 78
217.0 1 79
212.0 1 80
210.5 1 81
207.5 1 82
205.0 1 83
180.5 1 84
127.5 1 85
74.5 1 86
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
146.5 1
138.0 1
133.5 1
132.5 1
129.0 1 1
127.5 1
124.0 1
123.0 1 1 1
122.0 1
121.5 1
120.5 1
119.5 2
118.5 1
118.0 3
117.0 1 1
116.0 1 1 1
115.5 1
114.5 1
113.5 1 1 1
112.5 2
112.0 1 2
111.5 1
111.0 1 1
110.0 1 1 1
109.0 2 2 1
108.5 1
108.0 7 2 2
107.5 2
106.5 1 2 2 1
106.0 1
105.5 3 1 1 1
105.0 1 2
104.5 2 2
104.0 3 1 1
103.0 5 4 4 1
102.5 2
102.0 5 7 1
101.5 2 2
101.0 9 7 2 1
100.5 6 1 1
100.0 1
99.5 8 7 2 1
99.0 1 1
98.5 9 4 3 3
98.0 1 2 2 4
97.5 3 3 1
97.0 7 2 1
96.5 1
96.0 9 8 3 6
95.5 2 2 2
95.0 13 20 2 1
94.5 8 4 4 1
94.0 4 1 1 3
93.5 5 7 4 3
92.5 10 12 5 5
92.0 3 2 5 4
91.5 5 11 7 1
91.0 4 6 5 3
90.5 8 6 5
90.0 7 9 6 4
89.5 2 2
89.0 17 21 5 4
88.5 3 2 2 4
88.0 17 9 4
87.5 7 6 4 4
87.0 9 3 7 1
86.5 14 10 10 3
86.0 3 2 3
85.5 11 10 8 3
85.0 3 5 1 3
84.5 6 15 3 6
84.0 13 7 6 6
83.5 6 8 6 1
83.0 17 20 10 6
82.5 3 2 6 4
82.0 17 5 9 7
81.5 6 9 3 7
81.0 21 11 4 2
80.5 14 9 4 9
80.0 6 6 2 3
79.5 12 13 8 5
79.0 4 2 9 1
78.5 15 13 9 5
78.0 10 15 12 10
77.5 16 8 17 4
77.0 21 14 16 2
76.5 10 5 6 5
76.0 10 9 16 6
75.5 7 4 6 7
75.0 20 9 12 5
74.5 9 15 16 3
74.0 16 7 14 5
73.5 14 8 24 8
73.0 12 4 6 1
72.5 14 7 23 7
72.0 8 6 12 4
71.5 19 8 16 5
71.0 15 6 18 9
70.5 18 5 13 6
70.0 15 6 17 3
69.5 4 5 7 8
69.0 18 8 22 6
68.5 12 2 20 6
68.0 12 4 14 4
67.5 13 5 24 6
67.0 4 5 14 2
66.5 18 6 32 8
66.0 14 6 13 5
65.5 15 2 17 4
65.0 16 1 21 8
64.5 16 8 11 4
64.0 4 18 5
63.5 15 3 12 4
63.0 10 1 18 3
62.5 16 5 17 6
62.0 11 4 18 3
61.5 11 1 21 2
61.0 9 2 12 2
60.5 15 3 19 5
60.0 11 4 13 2
59.5 9 3 13 4
59.0 13 7 17 3
58.5 7 2 5 2
58.0 6 1 12 6
57.5 5 6 9 4
57.0 11 2 15 5
56.5 7 4 16 3
56.0 5 2 7 2
55.5 7 4 10 3
55.0 11 12 1
54.5 5 1 11 3
54.0 5 6 13 7
53.5 3 1 8 4
53.0 3 1 13 4
52.5 4 1 7 1
52.0 6 3 15
51.5 6 1 7 2
51.0 11
50.5 3 2 10 2
50.0 7 1 2 1
49.5 6 7 2
49.0 2 10 6
48.5 1 4 3
48.0 5 2 26 5
47.5 2 3 2
47.0 2 2 3 4
46.5 3 1 3 1
46.0 3 4 2
45.5 1 3 2
45.0 1 5
44.5 3 7 4
44.0 2 6 1
43.5 3 8 1
43.0 2 2
42.5 1 6
42.0 7 6 29 5
41.5 1 2 2 2
41.0 1 1
40.5 1 4 1
40.0 3 1
39.5 2 1
39.0 2 1
38.5 2 5 2
38.0 1 1
37.5 1 3
37.0 1 1
36.5 1 1 1
36.0 6 3 16 2
35.5 1 1
35.0 2
34.5 3 1 1
34.0 1 2
33.5 1 2
33.0 1
32.5 2 3 1
32.0 1 1 1
31.5 2
31.0 1 1
30.0 3 2 15 6
29.5 1 1 2
29.0 2
28.5 1 1
28.0 1
27.5 1
26.5 1
26.0 1
25.5 1
25.0 2
24.0 10
18.0 1 8 2
17.0 1 1
14.5 1 1
12.0 5 1
1
American Mathematics Competitions
2005 AMC 10 A Results for Kansas
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 1 1
149.0 124.0 99.0 1
148.5 123.5 98.5 3
148.0 123.0 1 98.0 1 1
147.5 122.5 97.5 1
147.0 122.0 97.0
146.5 1 121.5 96.5 1
146.0 121.0 96.0 3
145.5 120.5 1 95.5
145.0 120.0 95.0 2
144.5 119.5 1 1 94.5 2 2
144.0 119.0 94.0 1
143.5 118.5 93.5 2 2
143.0 118.0 93.0
142.5 117.5 92.5 4 1
142.0 117.0 92.0 3 1
141.5 116.5 91.5 6 1
141.0 116.0 1 91.0 4 1
140.5 115.5 90.5 4 1
140.0 115.0 90.0 5 1
139.5 114.5 89.5 2
139.0 114.0 89.0 3 1
138.5 113.5 1 88.5 2
138.0 1 113.0 88.0 2 2
137.5 112.5 87.5 2 2
137.0 112.0 2 87.0 4 2
136.5 111.5 86.5 5 3
136.0 111.0 86.0 1 1
135.5 110.5 85.5 4 4
135.0 110.0 1 85.0 1
134.5 109.5 84.5 3
134.0 109.0 1 84.0 5 1
133.5 1 108.5 1 83.5 5 1
133.0 108.0 1 1 83.0 6 4
132.5 107.5 1 1 82.5 3 2
132.0 107.0 82.0 2 6
131.5 106.5 1 81.5 3
131.0 106.0 81.0 1 3
130.5 105.5 1 80.5 2 2
130.0 105.0 2 80.0 2
129.5 104.5 79.5 2 6
129.0 104.0 1 79.0 6 3
128.5 103.5 78.5 3 4
128.0 103.0 3 1 78.0 6 5
127.5 102.5 2 77.5 10 7
127.0 102.0 1 77.0 7 8
126.5 101.5 2 76.5 4 2
126.0 101.0 1 1 76.0 3 12
125.5 100.5 1 75.5 2 4
American Mathematics Competitions
2005 AMC 10 A Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 6 50.0 1 1 25.0
74.5 4 11 49.5 6 1 24.5
74.0 7 7 49.0 6 3 24.0 7 2
73.5 15 9 48.5 1 3 23.5
73.0 3 3 48.0 10 12 23.0
72.5 11 11 47.5 1 2 22.5
72.0 10 2 47.0 1 2 22.0
71.5 10 5 46.5 1 1 21.5
71.0 10 8 46.0 3 1 21.0
70.5 8 3 45.5 2 1 20.5
70.0 10 6 45.0 3 2 20.0
69.5 6 1 44.5 4 3 19.5
69.0 11 10 44.0 2 4 19.0
68.5 9 11 43.5 1 7 18.5
68.0 9 4 43.0 1 1 18.0 3 5
67.5 11 11 42.5 2 3 17.5
67.0 8 6 42.0 11 17 17.0 1
66.5 12 17 41.5 2 16.5
66.0 9 3 41.0 1 16.0
65.5 9 8 40.5 1 3 15.5
65.0 10 10 40.0 2 1 15.0
64.5 5 5 39.5 2 14.5 1
64.0 11 6 39.0 1 1 14.0
63.5 2 10 38.5 1 4 13.5
63.0 7 11 38.0 1 13.0
62.5 8 7 37.5 2 1 12.5
62.0 10 7 37.0 1 12.0 1 3
61.5 10 8 36.5 1 11.5
61.0 6 6 36.0 8 7 11.0
60.5 8 11 35.5 1 10.5
60.0 7 6 35.0 1 10.0
59.5 8 5 34.5 1 9.5
59.0 9 7 34.0 2 9.0
58.5 1 4 33.5 8.5
58.0 5 7 33.0 1 8.0
57.5 6 3 32.5 1 1 7.5
57.0 5 10 32.0 1 7.0
56.5 9 6 31.5 6.5
56.0 3 4 31.0 6.0
55.5 4 4 30.5 5.5
55.0 6 5 30.0 6 9 5.0
54.5 5 6 29.5 1 4.5
54.0 7 6 29.0 2 4.0
53.5 3 5 28.5 1 3.5
53.0 3 8 28.0 3.0
52.5 5 2 27.5 1 2.5
52.0 2 11 27.0 2.0
51.5 4 3 26.5 1 1.5
51.0 5 6 26.0 1 1.0
50.5 5 3 25.5 1 .5
0.0 1 0
American Mathematics Competitions
2005 AMC 10 A Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
146.5 1
138.0 1
133.5 1
123.0 1
120.5 1
119.5 2
117.0 1
116.0 1
113.5 1
112.0 2
110.0 1
109.0 1
108.5 1
108.0 1 1
107.5 2
106.5 1 1
105.5 1
105.0 1 1
104.0 1
103.0 2 2
102.5 2
102.0 1
101.5 1 1
101.0 1 1
100.5 1
99.5 1 1
99.0 1
98.5 2 1
98.0 2
97.5 1
96.5 1
96.0 3
95.0 2
94.5 1 3
94.0 1
93.5 1 3
92.5 2 3
92.0 1 1 2 1
91.5 1 1 5
91.0 1 4
90.5 1 2 2
90.0 1 1 4
89.5 2
89.0 1 1 3
88.5 1 1
88.0 1 3
87.5 1 1 2
87.0 2 5
86.5 1 2 7
86.0 1 1
85.5 1 7
85.0 1
84.5 3
84.0 1 5
83.5 3 3
83.0 3 7
82.5 2 4
82.0 2 7
81.5 1 1 1
81.0 2 2
80.5 1 3
80.0 2
79.5 1 2 4 1
79.0 1 2 6
78.5 1 2 5 1
78.0 3 9
77.5 6 10 1
77.0 7 9
76.5 2 4
76.0 1 9 6
75.5 2 4
75.0 2 10
74.5 1 7 8
74.0 5 9
73.5 11 13
73.0 4 2
72.5 2 9 11 1
72.0 7 5
71.5 1 9 5 1
71.0 7 11
70.5 1 1 5 6
70.0 9 8
69.5 2 5
69.0 7 14 1
68.5 8 11 1
68.0 4 10
67.5 1 11 12
67.0 1 5 8
66.5 1 15 15 1
66.0 6 7
65.5 11 5 1
65.0 7 14
64.5 1 3 7
64.0 8 10
63.5 5 7
63.0 9 9
62.5 8 8 1
62.0 1 8 9
61.5 1 9 10 1
61.0 6 6
60.5 1 11 7
60.0 1 5 7
59.5 1 4 8
59.0 1 7 9
58.5 1 1 3
58.0 1 6 5
57.5 5 4
57.0 1 1 4 8 1
56.5 1 1 9 5
56.0 2 5
55.5 1 9
55.0 8 4
54.5 5 6
54.0 1 1 7 4
53.5 1 2 5
53.0 5 8
52.5 4 3
52.0 8 6 1
51.5 4 3
51.0 4 6 1
50.5 3 6 1
50.0 1 1
49.5 1 4 2
49.0 5 5
48.5 2 2
48.0 1 1 11 12 1
47.5 3
47.0 1 2
46.5 2 1
46.0 4
45.5 2 1
45.0 1 4
44.5 5 2
44.0 2 4
43.5 3 5
43.0 2
42.5 4 2
42.0 20 8 1
41.5 1 1
41.0 1
40.5 1 3
40.0 3
39.5 1 1
39.0 1 1
38.5 1 3 1
38.0 1
37.5 2 1
37.0 1
36.5 1
36.0 1 12 3
35.5 1
35.0 1 1
34.5 1
34.0 1 1
33.0 1
32.5 2 1
32.0 1
31.0 1
30.0 12 3
29.5 1
29.0 1 1
28.5 1
27.5 1
26.5 1
26.0 1
25.5 1
24.0 1 1 7 1
18.0 6 2
17.0 1
14.5 1
12.0 2 3
1
American Mathematics Competitions
2005 AMC 10 A Results for Kansas
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 0.52 0.31 0.46 7.80* 0.55 0.35 0.01
2 0.14 0.18 3.81* 0.15 2.22 3.50 0.00
3 0.04 8.22* 0.59 0.55 0.23 0.38 0.00
4 0.47 1.00* 2.61 0.87 0.56 4.49 0.00
5 4.92* 0.52 4.09 0.15 0.10 0.21 0.00
6 0.44 3.66* 4.15 0.22 0.10 1.41 0.01
7 1.11 2.88* 0.51 0.72 0.91 3.86 0.01
8 1.57 0.45 2.60* 0.32 0.25 4.80 0.01
9 1.48 5.00* 1.22 0.22 0.39 1.70 0.00
10 0.79* 0.70 1.30 0.47 0.20 6.54 0.00
11 0.76 2.04* 0.33 1.01 0.10 5.76 0.00
12 0.55 0.79* 0.63 0.28 0.61 7.14 0.01
13 1.40 0.83 0.50 0.49 0.70* 6.07 0.01
14 0.76 0.58 0.53 0.67 1.64* 5.82 0.00
15 0.55 0.88 0.73 0.80 0.86* 6.18 0.00
16 1.19 0.50 0.71 1.28* 0.28 6.05 0.00
17 0.43 0.61 0.67 1.69* 0.51 6.09 0.00
18 1.68* 1.64 1.40 2.96 0.54 1.79 0.00
19 0.59 1.02 0.86 2.57* 0.81 4.16 0.00
20 0.39* 0.50 0.76 0.57 0.37 7.41 0.00
21 1.91 0.70* 0.32 0.41 0.59 6.08 0.00
22 0.83 0.70 0.40 1.59* 0.59 5.90 0.00
23 0.26 0.59 1.39* 1.07 0.80 5.90 0.00
24 1.05 0.98* 0.48 0.36 0.16 6.96 0.01
25 0.39 0.79 1.13 0.98* 0.19 6.51 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 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 7 1
149.0 124.0 99.0
148.5 123.5 98.5 7 1
148.0 123.0 1 98.0 1
147.5 122.5 97.5 1 2
147.0 122.0 97.0 5 2
146.5 121.5 96.5
146.0 121.0 96.0 7 2
145.5 120.5 95.5 2
145.0 120.0 95.0 11 1
144.5 119.5 94.5 5 3
144.0 119.0 94.0 2 2
143.5 118.5 1 93.5 4 1
143.0 118.0 3 93.0
142.5 117.5 92.5 8 2
142.0 117.0 1 92.0 3
141.5 116.5 91.5 4
141.0 116.0 1 91.0 2 1
140.5 115.5 90.5 8
140.0 115.0 90.0 5 2
139.5 114.5 1 89.5
139.0 114.0 89.0 11 5
138.5 113.5 1 88.5 2 1
138.0 113.0 88.0 9 8
137.5 112.5 87.5 6 1
137.0 112.0 87.0 3 6
136.5 111.5 1 86.5 7 6
136.0 111.0 1 86.0
135.5 110.5 85.5 5 6
135.0 110.0 1 85.0 2
134.5 109.5 84.5 4 1
134.0 109.0 2 84.0 8 5
133.5 108.5 83.5 2 4
133.0 108.0 4 3 83.0 11 6
132.5 107.5 82.5 2 1
132.0 107.0 82.0 7 10
131.5 106.5 1 81.5 3 3
131.0 106.0 81.0 12 9
130.5 105.5 1 2 80.5 10 4
130.0 105.0 1 80.0 1 5
129.5 104.5 1 1 79.5 6 6
129.0 1 104.0 3 79.0 3 1
128.5 103.5 78.5 11 4
128.0 103.0 4 1 78.0 7 2
127.5 102.5 77.5 6 7
127.0 102.0 5 77.0 11 9
126.5 101.5 76.5 3 7
126.0 101.0 6 3 76.0 7 3
125.5 100.5 5 75.5 5 2
American Mathematics Competitions
2005 AMC 12 A Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 7 11 50.0 2 3 25.0
74.5 3 5 49.5 1 4 24.5
74.0 4 10 49.0 1 1 24.0
73.5 9 5 48.5 1 23.5
73.0 7 5 48.0 1 3 23.0
72.5 4 9 47.5 1 1 22.5
72.0 4 2 47.0 1 1 22.0
71.5 9 7 46.5 3 21.5
71.0 7 5 46.0 1 2 21.0
70.5 8 10 45.5 1 20.5
70.0 11 4 45.0 20.0
69.5 2 2 44.5 3 19.5
69.0 11 7 44.0 1 1 19.0
68.5 4 6 43.5 1 18.5
68.0 5 6 43.0 2 18.0
67.5 5 7 42.5 1 17.5
67.0 1 3 42.0 2 4 17.0 1
66.5 6 10 41.5 1 16.5
66.0 7 7 41.0 16.0
65.5 8 6 40.5 1 15.5
65.0 12 4 40.0 15.0
64.5 7 8 39.5 14.5
64.0 3 1 39.0 14.0
63.5 9 5 38.5 1 1 13.5
63.0 5 5 38.0 13.0
62.5 9 3 37.5 1 12.5
62.0 4 6 37.0 12.0
61.5 3 8 36.5 1 11.5
61.0 3 6 36.0 3 3 11.0
60.5 10 4 35.5 10.5
60.0 5 6 35.0 10.0
59.5 6 3 34.5 1 2 9.5
59.0 9 4 34.0 9.0
58.5 3 4 33.5 1 8.5
58.0 3 2 33.0 8.0
57.5 4 32.5 1 1 7.5
57.0 3 6 32.0 1 7.0
56.5 3 4 31.5 6.5
56.0 1 4 31.0 6.0
55.5 5 2 30.5 5.5
55.0 4 6 30.0 3 5.0
54.5 2 3 29.5 1 4.5
54.0 3 2 29.0 4.0
53.5 2 28.5 3.5
53.0 1 2 28.0 1 3.0
52.5 3 27.5 2.5
52.0 1 4 27.0 2.0
51.5 3 1 26.5 1.5
51.0 26.0 1.0
50.5 2 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
129.0 1
123.0 1
118.5 1
118.0 2 1
117.0 1
116.0 1
114.5 1
113.5 1
111.5 1
111.0 1
110.0 1
109.0 2
108.0 2 5
106.5 1
105.5 1 2
105.0 1
104.5 1 1
104.0 2 1
103.0 2 3
102.0 2 3
101.0 1 1 7
100.5 1 3 1 1
99.5 5 3
98.5 5 4
98.0 1
97.5 2 1
97.0 4 3
96.0 6 3
95.5 1 1
95.0 1 3 9
94.5 3 5
94.0 2 2
93.5 2 3
92.5 1 4 5
92.0 1 2
91.5 1 2 2
91.0 2 2
90.5 1 4 3
90.0 3 4
89.0 5 12
88.5 1 2
88.0 2 2 6 7
87.5 3 4
87.0 1 5 3
86.5 6 8
85.5 7 4
85.0 3
84.5 2 4
84.0 1 12
83.5 2 1 3
83.0 3 1 7 6
82.5 1 2
82.0 1 10 6
81.5 5 1
81.0 1 10 10
80.5 7 7
80.0 2 4
79.5 1 5 6
79.0 1 3
78.5 2 5 8
78.0 8 2
77.5 1 2 4 7 2
77.0 1 1 13 5 1
76.5 2 4 4
76.0 1 7 2
75.5 3 4
75.0 1 11 7 1
74.5 1 4 4
74.0 7 9
73.5 8 6
73.0 7 5
72.5 7 7
72.0 3 5
71.5 7 10 2
71.0 1 5 7 2
70.5 1 8 9
70.0 1 9 5
69.5 1 3
69.0 1 7 10
68.5 7 4 1
68.0 6 5 1
67.5 8 4 1
67.0 1 2 1
66.5 1 1 6 9 1
66.0 1 9 4
65.5 12 2 1
65.0 1 8 7
64.5 9 6 1
64.0 4
63.5 11 4
63.0 2 8
62.5 1 7 4 4
62.0 1 6 2 2
61.5 4 7
61.0 1 5 2 1
60.5 1 6 7 1
60.0 5 6
59.5 4 5
59.0 1 1 6 5
58.5 5 2
58.0 5 1
57.5 2 3
57.0 9 1 1
56.5 1 5 1
56.0 4 1
55.5 3 4
55.0 11
54.5 4 1
54.0 1 3 1
53.5 2 1
53.0 2 1
52.5 3 1
52.0 4 1 1
51.5 5 1
50.5 2 1
50.0 6 1
49.5 3 3
49.0 2
48.5 1
48.0 1 2 1 1
47.5 2
47.0 1 1
46.5 1 2
46.0 3
45.5 1
44.5 3
44.0 1 1
43.5 2 1
43.0 2
42.5 1
42.0 1 4 1 1
41.5 1
40.5 1
38.5 1 1
37.5 1
36.5 1
36.0 2 4
34.5 2 1
33.5 1
32.5 1 1
32.0 1
30.0 3
29.5 1
28.0 1
17.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Kansas
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 0.09 0.10 0.23 8.96* 0.17 0.46 0.00
2 0.06 9.06* 0.26 0.36 0.06 0.21 0.00
3 0.41 2.83* 1.27 0.46 0.40 4.63 0.00
4 6.14* 0.36 3.18 0.07 0.05 0.20 0.00
5 0.34 5.64* 2.55 0.12 0.09 1.25 0.00
6 0.61 4.28* 0.28 0.39 0.86 3.56 0.01
7 0.67 0.22 5.59* 0.11 0.12 3.28 0.00
8 0.33 0.43 0.31 1.54* 0.21 7.18 0.00
9 2.15* 0.38 0.91 0.34 0.10 6.12 0.00
10 0.39 2.56* 0.14 0.57 0.15 6.18 0.00
11 0.74 0.37 0.34 0.42 2.68* 5.45 0.00
12 1.04 0.33 0.15 2.38* 1.10 5.00 0.00
13 0.18 0.22 0.45 2.30* 0.28 6.57 0.00
14 0.39 0.47 3.43 0.75* 0.63 4.33 0.01
15 0.24 0.29 1.40* 0.85 0.80 6.43 0.00
16 0.23 0.22 0.66 0.53* 0.43 7.93 0.00
17 1.42* 0.97 1.33 0.27 0.38 5.63 0.00
18 0.34* 0.34 0.30 0.22 0.28 8.51 0.00
19 0.85 1.87* 0.95 0.51 1.06 4.76 0.00
20 0.31 0.13 0.15 0.08 0.14* 9.18 0.00
21 0.52 0.34 0.25* 0.21 0.09 8.58 0.00
22 0.41 0.37* 0.26 0.38 0.22 8.37 0.00
23 0.37 0.25* 0.25 0.25 0.48 8.40 0.00
24 0.09 0.13* 0.14 0.15 0.04 9.44 0.00
25 0.28 0.28 0.21* 0.24 0.07 8.92 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 Kansas
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 1
149.0 124.0 99.0 1
148.5 123.5 98.5 2 1
148.0 123.0 98.0 4
147.5 122.5 97.5
147.0 122.0 1 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 4 2
145.5 120.5 95.5 2
145.0 120.0 95.0 1
144.5 119.5 94.5 1
144.0 119.0 94.0 2 1
143.5 118.5 93.5 1 1
143.0 118.0 93.0
142.5 117.5 92.5 5
142.0 117.0 92.0 1 3
141.5 116.5 91.5 1
141.0 116.0 1 91.0 2 1
140.5 115.5 90.5
140.0 115.0 90.0 3
139.5 114.5 89.5 1 1
139.0 114.0 89.0 4
138.5 113.5 88.5 2 2
138.0 113.0 88.0
137.5 112.5 87.5 1 3
137.0 112.0 87.0 1
136.5 111.5 86.5 1 1
136.0 111.0 1 86.0 2
135.5 110.5 85.5 1 2
135.0 110.0 85.0 3
134.5 109.5 84.5 1 5
134.0 109.0 84.0 2 2
133.5 108.5 83.5 1
133.0 108.0 83.0 6
132.5 1 107.5 82.5 1 3
132.0 107.0 82.0 4 1
131.5 106.5 1 81.5 4 3
131.0 106.0 1 81.0 1
130.5 105.5 1 80.5 4 5
130.0 105.0 80.0 2 1
129.5 104.5 79.5 4 1
129.0 104.0 1 79.0 1
128.5 103.5 78.5 3 1
128.0 103.0 78.0 8 2
127.5 102.5 77.5 3
127.0 102.0 77.0 2
126.5 101.5 1 76.5 4 1
126.0 101.0 1 76.0 3 2
125.5 100.5 1 75.5 3 4
American Mathematics Competitions
2005 AMC 10 B Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 4 1 50.0 1 25.0 1
74.5 3 49.5 2 24.5
74.0 2 3 49.0 3 3 24.0
73.5 2 6 48.5 3 23.5
73.0 48.0 4 1 23.0
72.5 5 1 47.5 1 1 22.5
72.0 3 1 47.0 1 3 22.0
71.5 3 2 46.5 1 21.5
71.0 7 2 46.0 1 1 21.0
70.5 4 2 45.5 2 20.5
70.0 2 1 45.0 20.0
69.5 3 5 44.5 1 3 19.5
69.0 4 2 44.0 1 19.0
68.5 4 2 43.5 1 18.5
68.0 2 2 43.0 18.0 1 1
67.5 3 3 42.5 17.5
67.0 1 1 42.0 4 1 17.0
66.5 5 2 41.5 2 16.5
66.0 2 3 41.0 1 16.0
65.5 2 2 40.5 1 15.5
65.0 4 4 40.0 1 15.0
64.5 1 3 39.5 1 14.5 1
64.0 5 39.0 1 14.0
63.5 1 3 38.5 2 13.5
63.0 2 1 38.0 1 13.0
62.5 3 2 37.5 12.5
62.0 3 37.0 1 12.0 1
61.5 1 1 36.5 1 11.5
61.0 2 36.0 1 1 11.0
60.5 3 2 35.5 1 10.5
60.0 2 35.0 10.0
59.5 2 2 34.5 1 9.5
59.0 3 34.0 9.0
58.5 2 33.5 2 8.5
58.0 1 4 33.0 8.0
57.5 3 1 32.5 7.5
57.0 3 2 32.0 1 7.0
56.5 3 31.5 1 6.5
56.0 1 1 31.0 6.0
55.5 2 1 30.5 5.5
55.0 1 30.0 4 1 5.0
54.5 2 29.5 2 4.5
54.0 3 4 29.0 4.0
53.5 4 28.5 3.5
53.0 1 3 28.0 3.0
52.5 1 27.5 2.5
52.0 27.0 2.0
51.5 2 26.5 1.5
51.0 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
132.5 1
122.0 1
116.0 1
111.0 1
106.5 1
106.0 1
105.5 1
104.0 1
103.0 1
101.5 1 1
101.0 1
100.5 1
100.0 1
99.5 1
99.0 1
98.5 2 1
98.0 1 1 2
97.0 1
96.0 4 2
95.5 1 1
95.0 1
94.5 1
94.0 3
93.5 3
92.5 1 4
92.0 1 3
91.5 1
91.0 1 2
90.0 1 2 1
89.5 1 1
89.0 3 1
88.5 1 3
87.5 1 2 1
87.0 1
86.5 3
86.0 1 2
85.5 1 1 1
85.0 1 2
84.5 3 3
84.0 3 2 1
83.5 1
83.0 4 2
82.5 3 1
82.0 4 3
81.5 6 1
81.0 2
80.5 4 5
80.0 3
79.5 1 4
79.0 1
78.5 1 4
78.0 1 6 3
77.5 4
77.0 1 1
76.5 1 4
76.0 3 3
75.5 2 5
75.0 1 3 1
74.5 2 1
74.0 1 4
73.5 3 5
73.0 1
72.5 4 3
72.0 4
71.5 2 3
71.0 4 5
70.5 2 4
70.0 2 1
69.5 4 4
69.0 3 3
68.5 2 4
68.0 2 2
67.5 1 5
67.0 2
66.5 5 3
66.0 3 2
65.5 2 2
65.0 2 6
64.5 2 2
64.0 1 3 1
63.5 4
63.0 1 1 1
62.5 3 3
62.0 2 1
61.5 2
61.0 1 1
60.5 4 1
60.0 1 1
59.5 1 3
59.0 1 2
58.5 1 1
58.0 3 3
57.5 4
57.0 2 3
56.5 1 2
56.0 2
55.5 3
55.0 1
54.5 1 1 1
54.0 2 5
53.5 2 2
53.0 2 2
52.5 1
51.5 1 1
50.5 1 1
50.0 1
49.5 2
49.0 2 4
48.5 3
48.0 2 3
47.5 1 1
47.0 2 2
46.5 1
46.0 1 1
45.5 2
44.5 1 3
44.0 1
43.5 1
42.0 1 4
41.5 1 1
41.0 1
40.5 1
40.0 1
39.5 1
39.0 1
38.5 2
38.0 1
37.0 1
36.5 1
36.0 1 1
35.5 1
34.5 1
33.5 2
32.5 1
32.0 1
31.5 1 1
30.0 3 3
29.5 1 1
28.5 1
25.0 1 1
18.0 1 1
14.5 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Kansas
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 7.40* 0.50 0.61 0.39 0.95 0.15 0.00
2 0.24 0.52 0.28 7.18* 0.35 1.43 0.00
3 0.09 0.89 3.15 4.27* 0.95 0.65 0.00
4 0.78 0.17 0.78 2.47* 0.24 5.55 0.00
5 0.22 0.11 7.66* 0.37 1.11 0.54 0.00
6 0.28 7.57* 0.46 0.50 0.50 0.69 0.00
7 0.98 0.80* 0.67 1.00 0.56 5.99 0.00
8 4.51* 0.28 1.28 0.00 0.22 3.71 0.00
9 0.67 0.67 2.71 4.16* 0.65 1.13 0.00
10 0.95* 0.89 0.52 0.46 0.52 6.66 0.00
11 0.22 0.50 0.35 1.24 1.32* 6.38 0.00
12 0.95 1.65 0.50 0.24 0.13* 6.53 0.00
13 0.74 0.72 1.39* 1.56 0.56 5.03 0.00
14 0.54 0.30 1.26* 2.54 0.52 4.84 0.00
15 1.67 0.80 0.85 3.64* 1.08 1.95 0.00
16 0.48 0.67 0.72 0.37* 0.07 7.70 0.00
17 0.76 1.93* 1.15 0.43 0.35 5.38 0.00
18 0.39 4.69 1.50 1.58* 0.80 1.04 0.00
19 0.91 5.14* 0.48 0.56 0.48 2.43 0.00
20 0.85 0.28 1.00* 0.52 0.33 7.03 0.00
21 0.37* 0.30 0.15 0.28 0.26 8.63 0.00
22 0.87 1.02 0.30* 0.26 0.37 7.18 0.00
23 2.67 0.41 0.48* 0.48 0.20 5.77 0.00
24 0.46 0.37 0.37 0.33 0.78* 7.70 0.00
25 0.41 0.48 2.69* 0.33 0.22 5.88 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
American Mathematics Competitions
2005 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 3
149.0 124.0 1 99.0
148.5 123.5 98.5 3 1
148.0 123.0 1 98.0 2
147.5 122.5 97.5 3
147.0 122.0 97.0 2
146.5 121.5 1 96.5
146.0 121.0 96.0 6 2
145.5 120.5 95.5 2
145.0 120.0 95.0 7 12
144.5 119.5 94.5 4
144.0 119.0 94.0 1
143.5 118.5 93.5 5 2
143.0 118.0 93.0
142.5 117.5 92.5 7 5
142.0 117.0 92.0 2
141.5 116.5 91.5 6 5
141.0 116.0 91.0 6
140.5 115.5 1 90.5 3 2
140.0 115.0 90.0 7 1
139.5 114.5 89.5
139.0 114.0 89.0 13 6
138.5 113.5 1 88.5 2
138.0 113.0 88.0 7 2
137.5 112.5 2 87.5 2 4
137.0 112.0 1 87.0 2 1
136.5 111.5 86.5 8 2
136.0 111.0 86.0 3
135.5 110.5 85.5 4 5
135.0 110.0 1 85.0 4
134.5 109.5 84.5 5 9
134.0 109.0 1 1 84.0 5 2
133.5 108.5 83.5 6 2
133.0 108.0 2 83.0 10 10
132.5 107.5 82.5 2
132.0 107.0 82.0 4 1
131.5 106.5 2 81.5 5 4
131.0 106.0 81.0 8 3
130.5 105.5 1 80.5 8
130.0 105.0 80.0 2 4
129.5 104.5 2 79.5 7 6
129.0 1 104.0 79.0 1
128.5 103.5 78.5 8 5
128.0 103.0 3 1 78.0 10 4
127.5 1 102.5 77.5 4 3
127.0 102.0 7 77.0 8 6
126.5 101.5 76.5 3 2
126.0 101.0 5 2 76.0 6 3
125.5 100.5 75.5 2 2
American Mathematics Competitions
2005 AMC 12 B Results for Kansas
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 3 50.0 1 25.0
74.5 7 8 49.5 24.5
74.0 2 4 49.0 24.0
73.5 4 4 48.5 23.5
73.0 2 2 48.0 2 23.0
72.5 5 2 47.5 22.5
72.0 3 1 47.0 1 1 22.0
71.5 5 3 46.5 1 21.5
71.0 4 2 46.0 21.0
70.5 1 4 45.5 20.5
70.0 5 1 45.0 1 20.0
69.5 3 2 44.5 19.5
69.0 4 4 44.0 19.0
68.5 1 1 43.5 18.5
68.0 3 1 43.0 18.0 1
67.5 2 3 42.5 17.5
67.0 1 3 42.0 2 2 17.0
66.5 3 3 41.5 1 1 16.5
66.0 4 2 41.0 16.0
65.5 2 40.5 15.5
65.0 1 40.0 15.0
64.5 3 4 39.5 14.5
64.0 39.0 14.0
63.5 1 2 38.5 13.5
63.0 1 38.0 13.0
62.5 1 3 37.5 12.5
62.0 2 2 37.0 12.0
61.5 1 36.5 11.5
61.0 1 1 36.0 2 1 11.0
60.5 2 1 35.5 10.5
60.0 1 3 35.0 10.0
59.5 2 1 34.5 9.5
59.0 5 2 34.0 1 9.0
58.5 1 1 33.5 8.5
58.0 1 33.0 8.0
57.5 2 4 32.5 7.5
57.0 1 32.0 7.0
56.5 2 2 31.5 6.5
56.0 1 1 31.0 1 6.0
55.5 4 30.5 5.5
55.0 30.0 1 5.0
54.5 1 29.5 4.5
54.0 3 3 29.0 4.0
53.5 1 28.5 3.5
53.0 1 28.0 3.0
52.5 1 27.5 2.5
52.0 3 27.0 2.0
51.5 1 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Kansas
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
129.0 1
127.5 1
124.0 1
123.0 1
121.5 1
115.5 1
113.5 1
112.5 2
112.0 1
110.0 1
109.0 1 1
108.0 1 1
106.5 2
105.5 1
104.5 2
103.0 3 1
102.0 1 4 2
101.0 2 5
99.5 3 4
98.5 3 1
98.0 2
97.5 1 2
97.0 1 1
96.0 1 3 4
95.5 2
95.0 5 7 8
94.5 2 2
94.0 1
93.5 4 3
92.5 1 3 2 6
92.0 2
91.5 1 1 6 3
91.0 4 2
90.5 5 1
90.0 1 1 6 1
89.0 3 9 9
88.5 2
88.0 3 6
87.5 6
87.0 1 1 1
86.5 2 1 5 2
86.0 2 1
85.5 3 4 2 1
85.0 1 4
84.5 1 4 4 6
84.0 1 1 3 2
83.5 2 3 3
83.0 1 2 8 9
82.5 1 1
82.0 1 3 1
81.5 3 4 2
81.0 1 2 4 4
80.5 1 2 6
80.0 2 2 2
79.5 2 6 5
79.0 1 1
78.5 1 2 10
78.0 4 5 6
77.5 1 1 3 3
77.0 1 2 4 7
76.5 1 3 1
76.0 2 1 6
75.5 1 2 1
75.0 6 3
74.5 2 7 6
74.0 1 5 1
73.5 1 4 3
73.0 3 1
72.5 1 2 1 3
72.0 1 1 3 1
71.5 1 1 4 2
71.0 1 5
70.5 1 1 3
70.0 2 4
69.5 1 4
69.0 3 5
68.5 1 1
68.0 1 1 2
67.5 5
67.0 3 2
66.5 1 3 2
66.0 2 4
65.5 1 1
65.0 1
64.5 2 2 4
63.5 1 1 1
63.0 1
62.5 3 2
62.0 1 1 2
61.5 1
61.0 1 1
60.5 2 1
60.0 3 1
59.5 2 1
59.0 1 2 2 2
58.5 1 1
58.0 1
57.5 2 3 1
57.0 1 1
56.5 3 1
56.0 2
55.5 4
54.5 1
54.0 1 1 1 3
53.5 1
53.0 1
52.5 1
52.0 1 2
51.5 1
50.5 1 1
50.0 1
48.0 1 1
47.0 2
46.5 1
45.0 1
42.0 1 5
41.5 1 1
36.0 1 1 1
34.0 1
31.0 1
30.0 1 1
18.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Kansas
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 8.68* 0.26 0.39 0.18 0.42 0.07 0.00
2 0.08 0.16 0.16 8.79* 0.28 0.50 0.02
3 0.13 0.10 8.68* 0.18 0.50 0.41 0.00
4 0.13 8.65* 0.24 0.15 0.21 0.62 0.00
5 6.48* 0.13 0.83 0.07 0.10 2.38 0.02
6 1.95* 1.07 0.67 0.26 0.33 5.72 0.00
7 0.83 1.45 0.23 1.42* 0.47 5.60 0.00
8 1.09 1.40 3.73* 0.07 1.01 2.69 0.02
9 0.47 7.39* 0.31 0.29 0.26 1.25 0.02
10 0.21 0.60 0.23 2.18 2.54* 4.22 0.02
11 1.11 0.77 0.72 4.56* 0.49 2.36 0.00
12 0.39 0.62 0.78 0.59* 0.13 7.49 0.00
13 0.36 0.33 0.16 0.96* 0.33 7.87 0.00
14 0.54 0.93 0.73 0.42 0.94* 6.43 0.00
15 0.50 0.24 0.46 4.43* 0.54 3.83 0.00
16 0.41 0.26 0.54 0.34* 0.20 8.26 0.00
17 0.24 0.54* 0.24 0.10 0.70 8.18 0.00
18 1.40 0.31 0.49* 0.23 0.26 7.31 0.00
19 0.28 0.21 0.11 0.37 1.71* 7.31 0.00
20 0.13 0.24 3.93* 0.73 1.97 2.98 0.02
21 0.13 0.29 0.39* 0.49 0.18 8.52 0.00
22 0.52 0.85 0.18 0.20 0.11* 8.14 0.00
23 0.13 0.15* 0.34 0.10 0.11 9.17 0.00
24 0.31* 0.13 0.41 0.28 0.24 8.63 0.00
25 0.29* 0.34 0.26 0.21 0.39 8.50 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column