American Mathematics Competitions
2009 AMC 10 A Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 785
Number of unofficial participants: 0
Average score of participants: 60.0
Average score for female students is: 57.0 ( 337 Students)
Average score for male students is: 63.1 ( 364 Students)
Average score for unspecified gender is 59.0 ( 84 Students)
Average score for grade 10 is: 59.8 ( 367 Students)
Average score for grade 9 is: 58.7 ( 315 Students)
Average score for grade 8 and below is: 68.4 ( 69 Students)
Average score with unknown grade: 56.9 ( 34 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 7
Number of schools returning results 33
Average school winning score 93.05
American Mathematics Competitions
2009 AMC 12 A Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 901
Number of unofficial participants: 0
Average score of participants: 58.7
Average score for female students is: 55.0 ( 351 Students)
Average score for male students is: 61.2 ( 474 Students)
Average score for unspecified gender is 59.9 ( 76 Students)
Average score for grade 12 is: 59.9 ( 383 Students)
Average score for grade 11 is: 58.7 ( 421 Students)
Average score for grade 10 is: 57.6 ( 56 Students)
Average score for grade 9 is: 44.6 ( 29 Students)
Average score with unknown grade: 56.0 ( 12 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 9
Number of schools returning results 40
Average school winning score 84.11
Average school team score 231.79
American Mathematics Competitions
2009 AMC 10 B Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 232
Number of unofficial participants: 0
Average score of participants: 61.5
Average score for female students is: 54.2 ( 93 Students)
Average score for male students is: 65.5 ( 118 Students)
Average score for unspecified gender is 70.8 ( 21 Students)
Average score for grade 10 is: 61.5 ( 119 Students)
Average score for grade 9 is: 58.9 ( 95 Students)
Average score for grade 8 and below is: 70.9 ( 8 Students)
Average score with unknown grade: 77.3 ( 10 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 3
Number of schools returning results 17
Average school winning score 95.12
American Mathematics Competitions
2009 AMC 12 B Results for Kansas
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 313
Number of unofficial participants: 0
Average score of participants: 59.2
Average score for female students is: 52.1 ( 121 Students)
Average score for male students is: 64.2 ( 161 Students)
Average score for unspecified gender is 60.7 ( 31 Students)
Average score for grade 13 is: 108.0 ( 1 Student)
Average score for grade 12 is: 60.4 ( 105 Students)
Average score for grade 11 is: 56.3 ( 131 Students)
Average score for grade 10 is: 59.8 ( 35 Students)
Average score for grade 9 is: 54.6 ( 17 Students)
Average score for grade 8 and below is: 76.7 ( 10 Students)
Average score with unknown grade: 65.4 ( 14 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 8
Number of schools returning results 22
Average school winning score 92.39
Average school team score 243.55
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
328.5 1 1
315.0 1 2
312.0 1 3
307.5 1 4
298.5 1 5
297.0 1 6
295.5 1 7
279.0 1 8
274.5 2 9
271.5 1 11
268.5 2 12
264.0 1 14
262.5 1 15
259.5 1 16
256.5 2 1 17
252.0 1 20
250.5 1 21
249.0 1 22
247.5 1 1 23
244.5 2 1 25
243.0 2 1 28
241.5 1 31
234.0 1 1 32
229.5 1 34
226.5 1 35
225.0 1 36
222.0 2 37
220.5 1 39
219.0 1 40
217.5 2 41
216.0 1 43
213.0 1 44
211.5 1 45
208.5 1 1 46
205.5 2 48
204.0 1 50
201.0 2 51
199.5 1 53
198.0 1 1 54
192.0 1 56
187.5 1 57
184.5 1 58
177.0 1 59
172.5 1 60
159.0 1 61
123.0 1 62
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
139.5 1
138.0 1
136.5 1
135.0 1
133.5 1 1
132.0 1
126.0 1
123.0 1 2
120.0 1 1
115.5 1 1
112.5 1
111.0 1
109.5 1 1 2 2
108.0 1 2
106.5 1 1 3 1
103.5 3 2 1
102.0 3 3 2
100.5 1 1 3
99.0 2 1 1
97.5 1 3 2
96.0 2 4 1
94.5 1 4 2
93.0 5 6 2
91.5 4 2 7 3
90.0 6 1 7 4
88.5 1 3 2
87.0 5 1 6 4
85.5 12 1 6 3
84.0 11 3 5 3
82.5 12 6 11 1
81.0 11 3 5 3
79.5 14 4 11 3
78.0 14 4 20 4
76.5 16 5 12 6
75.0 14 4 11 3
73.5 19 5 14 2
72.0 33 7 27 4
70.5 29 11 21 4
69.0 29 6 18 8
67.5 27 8 15 6
66.0 30 4 29 9
64.5 23 13 15 5
63.0 29 14 32 7
61.5 42 9 34 6
60.0 40 9 42 9
58.5 32 10 31 10
57.0 37 11 18 7
55.5 37 9 22 5
54.0 37 14 36 11
52.5 36 14 32 2
51.0 25 12 22 6
49.5 27 9 21 8
48.0 26 10 35 7
46.5 20 14 23 5
45.0 13 16 16 10
43.5 20 7 21 5
42.0 24 5 36 6
40.5 21 7 10 2
39.0 17 5 16 5
37.5 14 5 11 5
36.0 12 5 11 2
34.5 8 1 4 7
33.0 13 7 12 1
31.5 6 4 2 5
30.0 8 4 6 2
28.5 7 2 3
27.0 3 2 2
25.5 4 1 2
24.0 6 4 1
22.5 1
21.0 2 1
18.0 6 1 3
12.0 2 1
American Mathematics Competitions
2009 AMC 10 A Results for Kansas
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
139.5 1 1
138.0 1 1
133.5 1 1
132.0 1 1
123.0 2 1 1
120.0 1 1
115.5 1 1
109.5 2 1 1
108.0 2 1 1
106.5 2 1 1 1
103.5 2 2
102.0 2 2 1
100.5 1 1
99.0 1 1
97.5 1 1 2
96.0 4 1 2 1
94.5 1 1 1 1
93.0 4 1 1 4 1
91.5 3 4 1 3 3
90.0 2 4 2 5
88.5 1 1 2
87.0 3 3 3 2 1
85.5 3 2 1 4 1
84.0 4 1 1 3 1
82.5 7 3 2 5 4
81.0 1 3 3 2
79.5 5 5 1 3 6 1
78.0 10 8 2 8 9 1
76.5 10 1 1 5 6
75.0 6 2 2 5 3 1
73.5 4 7 2 3 8 1
72.0 17 9 2 12 12 1
70.5 8 12 5 3 12 1
69.0 9 6 1 3 6 8
67.5 9 5 1 1 4 8 1
66.0 14 13 1 12 16
64.5 6 8 1 2 12
63.0 17 12 3 10 17 2
61.5 18 12 1 16 16 1
60.0 16 19 1 1 22 16 2
58.5 11 16 3 14 12 2
57.0 8 9 1 1 5 11
55.5 14 5 1 10 11
54.0 11 20 3 14 18 1
52.5 13 16 4 12 15 1
51.0 5 13 2 9 9 2
49.5 13 7 1 14 5 1
48.0 16 17 20 13 2
46.5 7 13 2 7 12 2
45.0 4 11 2 5 9
43.5 9 8 10 11
42.0 14 15 1 16 17 2
40.5 5 4 6 3 1
39.0 9 6 1 8 6 1
37.5 5 6 1 5 5
36.0 7 3 6 4 1
34.5 3 1 2 1
33.0 4 7 3 8 1
31.5 1 1 2
30.0 1 5 6
28.5 2 2
27.0 1 1 2
25.5 1 1
24.0 2 2 2 2
21.0 1 1
18.0 2 1 1 1
12.0 1 1
American Mathematics Competitions
2009 AMC 10 A Results for Kansas
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.51 0.25 0.38 8.54 90.19* 0.13 0.00
2 92.99* 1.78 0.38 1.02 1.78 2.04 0.00
3 4.59 13.63 58.60* 6.24 4.46 12.48 0.00
4 17.20* 9.55 6.75 10.45 18.34 37.71 0.00
5 11.21 6.37 5.10 4.84 40.51* 31.97 0.00
6 49.30* 4.33 11.34 3.95 2.29 28.79 0.00
7 8.28 4.33 20.25* 4.46 39.87 22.80 0.00
8 12.61 74.52* 3.57 1.78 1.66 5.86 0.00
9 7.26 16.31* 11.85 5.35 1.40 57.83 0.00
10 5.61 20.76* 5.61 14.52 3.06 50.45 0.00
11 2.68 3.06 4.84 47.90* 3.06 38.47 0.00
12 3.69 10.57 25.86* 10.19 6.88 42.80 0.00
13 22.42 6.62 3.69 15.03 8.41* 43.82 0.00
14 32.23* 3.44 6.88 5.22 14.27 37.96 0.00
15 2.68 4.71 7.26 10.45 41.53* 33.38 0.00
16 24.59 5.86 5.61 9.30* 7.01 47.64 0.00
17 7.01 8.79 6.37* 3.57 5.86 68.28 0.13
18 21.66 10.83 9.17 12.10* 7.26 38.98 0.00
19 6.24 9.55* 9.04 7.52 3.06 64.59 0.00
20 10.83 11.97 13.63 28.28* 1.53 33.76 0.00
21 2.55 3.06 13.63* 4.46 3.44 72.87 0.00
22 7.52 5.73 34.78 8.15* 4.59 39.24 0.00
23 4.20 3.44 6.75 3.82 12.61* 69.17 0.00
24 11.08 16.05 5.61* 4.71 7.64 54.90 0.00
25 4.97 6.11* 7.52 4.97 5.35 71.08 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
2009 AMC 12 A Results for Kansas
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
136.5 1 1
112.5 1 1
109.5 1 1
106.5 1 1
102.0 3 1 2
100.5 1 1
97.5 1 1
96.0 1 1 2
94.5 1 1
93.0 5 1 2 2
91.5 2 2 1 1
90.0 6 5 1
88.5 1 1
87.0 3 2 2 3
85.5 7 5 1 7 4
84.0 10 6 5
82.5 9 2 1 1 5 4 1
81.0 5 4 3 4 4
79.5 10 4 1 1 3 9
78.0 8 5 2 5 7
76.5 7 5 1 9 6
75.0 5 7 7 7
73.5 13 4 1 2 7 9
72.0 17 12 1 14 18
70.5 20 5 3 15 10 1
69.0 16 11 1 3 13 12
67.5 14 12 2 9 16
66.0 19 10 1 16 12 1
64.5 12 9 1 12 10
63.0 17 9 1 1 12 15
61.5 27 10 2 22 18
60.0 26 12 3 21 16
58.5 19 12 1 17 14
57.0 15 17 2 17 17 1
55.5 18 17 2 18 16 1
54.0 18 16 1 16 19 1
52.5 14 19 18 18
51.0 9 12 1 10 14
49.5 10 15 1 5 11 9 1
48.0 12 11 1 2 11 11 1
46.5 12 7 2 12 6
45.0 8 3 1 1 9 2
43.5 6 12 3 10 7
42.0 11 11 3 10 11
40.5 5 14 2 1 11 7
39.0 7 9 1 8 7 1
37.5 7 7 1 1 7 5
36.0 5 7 1 3 8
34.5 5 2 5 3
33.0 6 6 2 1 5 4 1
31.5 2 4 1 4 1
30.0 5 2 1 1 3 3
28.5 3 4 1 2 2 2
27.0 1 2 1 2
25.5 3 1 2 1
24.0 4 2 1 3 2
21.0 2 2
18.0 4 2 4 2
12.0 2 2
American Mathematics Competitions
2009 AMC 12 A Results for Kansas
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 78.80* 7.33 2.00 1.00 3.11 7.77 0.00
2 1.89 7.10 77.03* 4.77 3.11 6.10 0.00
3 8.21 68.15* 6.22 5.99 4.00 7.33 0.11
4 91.79* 1.33 0.89 1.22 2.11 2.66 0.00
5 2.44 2.77 2.89 69.37* 2.11 20.42 0.00
6 23.09 6.77 3.66 15.43 20.31* 30.74 0.00
7 4.33 14.43* 7.88 2.89 1.89 68.48 0.11
8 43.51* 3.00 8.99 4.22 12.76 27.52 0.00
9 3.22 3.66 6.88 19.09* 6.66 60.49 0.00
10 4.66 7.66 32.74* 10.88 5.99 37.96 0.11
11 2.33 4.44 3.11 7.55 60.38* 22.20 0.00
12 11.76 18.20* 6.22 9.10 5.55 49.17 0.00
13 10.65 13.43 10.88 10.77* 4.88 49.39 0.00
14 4.11 3.44* 8.77 12.54 6.88 64.15 0.11
15 9.10 6.55 8.21 15.87* 4.99 55.27 0.00
16 14.10 8.10 7.77 4.00* 4.11 61.93 0.00
17 4.33 5.44 7.66* 4.77 9.54 68.26 0.00
18 9.99 5.99* 5.99 3.33 5.33 69.37 0.00
19 10.32 11.32 6.22* 7.44 6.55 58.16 0.00
20 4.33 2.55 8.55 5.33 9.32* 69.92 0.00
21 6.22 5.88 5.77* 3.55 4.99 73.58 0.00
22 5.11 5.44 5.66 4.55 2.44* 76.80 0.00
23 3.00 4.44 3.88 3.55* 2.22 82.80 0.11
24 9.10 4.99 4.88 3.88 1.78* 75.36 0.00
25 3.00* 6.33 5.88 5.99 8.21 70.59 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
2009 AMC 10 B Results for Kansas
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
135.0 1 1
133.5 1 1
120.0 1 1
115.5 1 1
111.0 1 1
109.5 2 1 1
106.5 1
103.5 1 1
102.0 2 2
100.5 2 1 2
99.0 1 1
96.0 1 1
93.0 1 1 1 1
91.5 2 1 1 1 1
90.0 1 2 2
87.0 2 1 2 1
85.5 2 1 1 2
84.0 3 1 2
82.5 1 1
81.0 3 2 1
79.5 1 1 1 1 1
78.0 2 2 1 3
76.5 5 1 1 5
75.0 2 1 3
73.5 1 1 2
72.0 1 3 1 3
70.5 3 1 1 2 1
69.0 3 4 1 4 3
67.5 3 1 3 1 2
66.0 6 3 6 3
64.5 2 2 3 2
63.0 3 3 2 4 1
61.5 1 4 2 4
60.0 4 4 4 5
58.5 3 6 4 6
57.0 3 4 5 2
55.5 4 1 2 3
54.0 9 1 1 4 6
52.5 1 1 1 1
51.0 3 2 1 4 1
49.5 1 6 4 4
48.0 4 3 2 5
46.5 1 4 1 1 3
45.0 2 6 5 5
43.5 3 2 2 3
42.0 4 2 5 1
40.5 2 1 1
39.0 1 4 3 2
37.5 2 3 1 2 2
36.0 1 1 1 1
34.5 2 5 1 2 4
33.0 1 1
31.5 2 3 2 3
30.0 1 1 2
28.5 2 1 1 2
25.5 1 1 1 1
24.0 1 1
American Mathematics Competitions
2009 AMC 10 B Results for Kansas
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.43 75.00* 6.47 14.66 1.72 1.72 0.00
2 3.88 1.72 81.47* 1.29 0.86 10.78 0.00
3 3.02 8.62 66.81* 10.34 0.43 10.78 0.00
4 3.45 4.74 64.66* 11.64 1.29 14.22 0.00
5 12.07 3.88 25.86 43.97* 1.29 12.93 0.00
6 1.29 1.72 7.33 64.22* 3.88 21.55 0.00
7 12.93 15.95 47.84* 12.07 5.60 5.60 0.00
8 1.72 25.43* 7.33 47.84 3.88 13.79 0.00
9 26.29* 6.47 4.74 8.19 2.59 51.72 0.00
10 13.79 3.02 3.88 5.17 30.60* 43.53 0.00
11 56.47* 8.19 3.88 4.74 1.72 25.00 0.00
12 14.66* 9.91 11.64 16.81 12.07 34.91 0.00
13 6.47 12.93 30.60* 10.78 12.93 26.29 0.00
14 2.16 32.33 19.83 18.10* 7.76 19.83 0.00
15 10.78 8.19 4.74 8.19 39.22* 28.88 0.00
16 5.17 11.64* 3.02 2.59 5.17 71.98 0.43
17 22.84 18.53 14.22* 3.02 2.16 39.22 0.00
18 4.31 8.62 7.33 8.19* 2.16 69.40 0.00
19 19.83* 22.84 9.91 13.79 4.31 29.31 0.00
20 6.03 8.62* 6.90 2.16 6.90 69.40 0.00
21 7.76 11.21 5.17 6.03* 4.74 65.09 0.00
22 1.29 6.03* 4.74 4.31 3.45 80.17 0.00
23 8.19 9.05 10.34* 9.05 4.74 58.62 0.00
24 10.78* 4.31 6.03 2.16 7.76 68.97 0.00
25 16.38 14.22* 10.34 5.60 10.34 43.10 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
2009 AMC 12 B Results for Kansas
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
126.0 1 1
123.0 1 1
109.5 1 1
108.0 1
106.5 1 1
103.5 3 1 2
99.0 1 1 2
97.5 2 1 1 1
94.5 3 1 1 2
91.5 2 1 1
90.0 1 1
88.5 3 1 2
87.0 1 1
85.5 1 1
84.0 2 1 2 1
82.5 6 1 3 2
81.0 2 2 1
79.5 3 2 1 1
78.0 3 1 2 2
76.5 4 1 1 3
75.0 2 2 2 2
73.5 3 1 2 2 1
72.0 6 1 1 1 4 1
70.5 5 4 1 1 3 1 5
69.0 4 2 2 2 2
67.5 7 1 2 2 4
66.0 2 1 1 1 1 1
64.5 6 5 1 1 6 4 1
63.0 11 2 1 1 9 2 1
61.5 2 5 2 2 4 1
60.0 3 3 1 3 3 2
58.5 7 3 1 1 4 4
57.0 3 7 1 1 5 4
55.5 3 3 1 3 3 2
54.0 7 6 1 2 6 5
52.5 4 10 2 6 6
51.0 4 8 1 1 5 5
49.5 3 6 1 5 3
48.0 4 6 1 3 5 1
46.5 8 5 1 5 7 1
45.0 6 7 11 3 2
43.5 4 3 2 5
42.0 1 4 4 1
40.5 7 1 3 3
39.0 4 1 1 4
37.5 2 3 1 4
36.0 2 2 2 3
34.5 1 1
33.0 1 6 1 1 2 3
31.5 3 1 1 3
30.0 1 2 1 2 1
27.0 1 1 1
22.5 1 1
18.0 1
American Mathematics Competitions
2009 AMC 12 B Results for Kansas
Analysis
Table of Item Difficulty for the 2009
American Mathematics Competitions 10/12
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.32 74.44* 7.35 15.02 2.56 0.32 0.00
2 1.28 1.60 73.48* 14.38 0.96 7.67 0.64
3 8.63 3.19 26.52 43.77* 2.24 15.65 0.00
4 1.92 2.56 69.33* 11.82 3.83 10.54 0.00
5 0.96 0.96 5.11 71.88* 3.83 17.25 0.00
6 14.38 14.38 52.72* 8.95 5.11 4.47 0.00
7 3.51 39.94* 6.39 32.27 3.19 14.70 0.00
8 9.58 5.11 1.92 6.39 49.52* 27.48 0.00
9 39.94* 3.51 1.60 7.35 3.19 44.41 0.00
10 25.24* 20.13 13.10 7.99 3.51 29.71 0.32
11 5.11 22.68 22.68 21.41* 4.47 23.64 0.00
12 1.60 4.47 7.99 3.51 18.85* 63.58 0.00
13 6.07 4.15 4.79 10.86* 4.47 69.65 0.00
14 18.21 18.53 19.81* 2.88 0.96 39.62 0.00
15 0.32 29.39* 10.54 9.27 5.75 44.73 0.00
16 2.56 5.43* 3.51 2.56 1.60 84.35 0.00
17 20.13 18.85* 6.07 4.15 5.75 45.05 0.00
18 4.15 7.67 8.31* 8.63 7.35 63.90 0.00
19 1.28 4.15 4.47 1.28 2.24* 86.58 0.00
20 2.88 2.24 3.51* 2.56 2.88 85.94 0.00
21 3.83* 7.99 5.75 12.78 17.25 52.40 0.00
22 2.56 4.47 3.19* 2.24 1.28 86.26 0.00
23 1.92 5.11 3.19 3.51* 1.60 84.66 0.00
24 10.22 4.15* 2.88 3.83 0.32 78.59 0.00
25 6.07 4.15 3.83 4.15 2.56* 79.23 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column