American Mathematics Competitions
2009 AMC 10 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1384
Number of unofficial participants: 0
Average score of participants: 58.9
Average score for female students is: 54.8 ( 586 Students)
Average score for male students is: 62.5 ( 560 Students)
Average score for unspecified gender is 60.8 ( 238 Students)
Average score for grade 10 is: 61.5 ( 599 Students)
Average score for grade 9 is: 55.4 ( 549 Students)
Average score for grade 8 and below is: 65.2 ( 85 Students)
Average score with unknown grade: 58.1 ( 151 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 6
Number of schools returning results 40
Average school winning score 97.43
American Mathematics Competitions
2009 AMC 12 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1503
Number of unofficial participants: 0
Average score of participants: 62.1
Average score for female students is: 59.7 ( 612 Students)
Average score for male students is: 64.6 ( 682 Students)
Average score for unspecified gender is 61.3 ( 209 Students)
Average score for grade 12 is: 63.0 ( 538 Students)
Average score for grade 11 is: 60.9 ( 702 Students)
Average score for grade 10 is: 66.1 ( 106 Students)
Average score for grade 9 is: 67.4 ( 49 Students)
Average score for grade 8 and below is: 63.8 ( 9 Students)
Average score with unknown grade: 59.4 ( 99 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 19
Number of schools returning results 41
Average school winning score 87.73
Average school team score 241.35
American Mathematics Competitions
2009 AMC 10 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 96
Number of unofficial participants: 0
Average score of participants: 61.7
Average score for female students is: 53.4 ( 24 Students)
Average score for male students is: 73.5 ( 35 Students)
Average score for unspecified gender is 55.9 ( 37 Students)
Average score for grade 10 is: 67.8 ( 34 Students)
Average score for grade 9 is: 66.0 ( 33 Students)
Average score for grade 8 and below is: 138.0 ( 1 Student)
Average score with unknown grade: 46.5 ( 28 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 12
Average school winning score 90.25
American Mathematics Competitions
2009 AMC 12 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 120
Number of unofficial participants: 0
Average score of participants: 67.2
Average score for female students is: 58.8 ( 41 Students)
Average score for male students is: 75.7 ( 55 Students)
Average score for unspecified gender is 62.3 ( 24 Students)
Average score for grade 12 is: 68.5 ( 41 Students)
Average score for grade 11 is: 68.6 ( 47 Students)
Average score for grade 10 is: 62.1 ( 8 Students)
Average score for grade 9 is: 66.4 ( 4 Students)
Average score for grade 8 and below is: 77.4 ( 7 Students)
Average score with unknown grade: 56.0 ( 13 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 12
Number of schools returning results 14
Average school winning score 95.68
Average school team score 228.54
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
325.5 1 1
319.5 1 2
316.5 1 1 3
312.0 1 5
310.5 1 6
295.5 1 7
289.5 1 1 8
286.5 1 1 10
282.0 1 12
279.0 1 1 13
273.0 2 15
262.5 1 17
261.0 1 18
258.0 1 19
255.0 1 20
253.5 2 21
252.0 1 1 23
250.5 1 25
249.0 1 26
241.5 1 27
240.0 1 28
238.5 1 29
237.0 1 30
235.5 1 1 31
231.0 2 33
229.5 1 35
226.5 2 36
219.0 1 38
213.0 2 39
211.5 2 41
204.0 1 43
202.5 2 44
195.0 1 46
187.5 1 47
184.5 1 48
178.5 1 49
171.0 1 50
157.5 1 51
144.0 1 52
135.0 1 53
109.5 1 54
102.0 1 55
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 2
144.0 1
138.0 1
126.0 1
123.0 2
121.5 1 1
118.5 1 1
117.0 1 1
114.0 3 5
112.5 1 1
111.0 1 1 1
109.5 3 3
108.0 1 3 2
106.5 2 1
105.0 1 1 3
103.5 1 4 2 2
102.0 1 1 4
100.5 4 2 3
99.0 3 1 9
97.5 2 3 4
96.0 7 1 9 1
94.5 9 3 7
93.0 4 4
91.5 4 12
90.0 7 3 12 1
88.5 11 1 12 1
87.0 15 1 13 1
85.5 23 1 11 3
84.0 18 23 2
82.5 17 2 16 1
81.0 29 3 14 1
79.5 25 2 20 2
78.0 40 2 26 2
76.5 49 3 27 2
75.0 19 2 25
73.5 54 2 26
72.0 46 5 24 4
70.5 39 3 30 1
69.0 58 2 32 1
67.5 64 3 38 3
66.0 53 3 45 5
64.5 65 5 36 2
63.0 75 3 40
61.5 71 5 36 3
60.0 74 3 56 2
58.5 62 5 32
57.0 48 1 46 3
55.5 49 4 36 4
54.0 65 5 45 3
52.5 42 1 46 1
51.0 41 3 57 3
49.5 21 3 46
48.0 43 3 44 4
46.5 30 5 35
45.0 15 3 40 2
43.5 23 2 21 1
42.0 35 2 47 3
40.5 22 37 1
39.0 14 33 2
37.5 15 1 38 2
36.0 25 2 28 4
34.5 10 1 15 1
33.0 12 15 5
31.5 6 27 2
30.0 11 19 2
28.5 5 5
27.0 6
25.5 3 3 2
24.0 5 1 6
22.5 3 1 5
21.0 1 1 2
19.5 1 1
18.0 1 2 5 1
15.0 1 1
13.5 1
12.0 2
American Mathematics Competitions
2009 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 2 1 1
144.0 1 1
123.0 2 1 1
121.5 1
117.0 1 1
114.0 5 1 4
112.5 1
111.0 1 1
109.5 1 1 2 1
108.0 2 1 2
106.5 2 2
105.0 2 1 1 2
103.5 1 2
102.0 2 1 1 2
100.5 2 1 1 2
99.0 6 3 1 1 3 4
97.5 1 2 1 3
96.0 5 1 1 2 5 1
94.5 4 1 3 1 2 1
93.0 3 1 2 1
91.5 3 6 1 1 3 6 1
90.0 10 1 1 5 6
88.5 8 3 1 2 6 2 1
87.0 6 4 2 5 4 2
85.5 6 3 8 2 1
84.0 11 8 1 7 12 3
82.5 10 3 7 8 1
81.0 4 8 1 1 3 8 1
79.5 8 5 1 3 13 3
78.0 13 6 1 1 8 10 6
76.5 11 13 1 8 16 2
75.0 15 7 7 18
73.5 10 10 1 1 8 13 3
72.0 14 7 5 17 2
70.5 12 16 10 18 2
69.0 18 9 1 1 10 16 4
67.5 11 19 11 22 5
66.0 22 15 3 16 19 7
64.5 11 16 3 13 14 6
63.0 17 14 1 1 13 21 4
61.5 11 16 1 1 13 15 6
60.0 23 21 2 2 23 24 5
58.5 14 12 2 13 12 5
57.0 12 23 1 1 15 23 6
55.5 17 15 1 3 7 22 3
54.0 23 17 1 2 2 17 19 4
52.5 16 23 2 19 21 4
51.0 19 29 2 2 21 25 7
49.5 19 20 1 1 23 18 3
48.0 13 26 1 24 16 3
46.5 13 14 1 1 22 7 4
45.0 20 11 2 1 20 10 7
43.5 10 7 3 7 9 2
42.0 10 27 25 14 8
40.5 13 22 1 1 19 15 1
39.0 11 18 1 16 12 4
37.5 15 19 2 21 12 3
36.0 11 14 3 13 9 3
34.5 9 5 1 5 6 3
33.0 3 9 1 9 3 2
31.5 5 15 13 7 7
30.0 5 13 11 7 1
28.5 4 4 1
27.0 3 3 2 4
25.5 3 3
24.0 1 4 3 2 1
22.5 3 3 2
21.0 1 1
19.5 1 1
18.0 1 4 4 1
15.0 1 1
13.5 1 1
12.0 1 1 2
American Mathematics Competitions
2009 AMC 10 A Results for Arizona
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 0.29 0.51 1.16 11.13 85.98* 0.94 0.00
2 87.79* 2.10 0.94 1.81 3.32 4.05 0.00
3 1.66 11.34 62.93* 8.82 5.13 10.12 0.00
4 20.09* 9.03 6.29 9.03 20.30 35.26 0.00
5 11.99 6.29 5.56 4.26 41.84* 29.99 0.07
6 49.28* 4.41 11.05 6.43 1.30 27.53 0.00
7 5.71 4.99 21.10* 4.99 37.50 25.65 0.07
8 12.50 70.45* 4.55 2.67 1.81 8.02 0.00
9 9.39 18.50* 9.75 5.78 1.30 55.27 0.00
10 5.35 20.95* 7.80 10.98 2.31 52.53 0.07
11 2.82 4.84 4.62 43.28* 2.46 41.91 0.07
12 3.76 10.40 23.63* 11.85 8.24 42.12 0.00
13 21.53 6.21 5.06 14.23 10.26* 42.70 0.00
14 27.53* 1.88 9.03 5.64 14.67 41.18 0.07
15 5.13 5.06 5.64 9.10 39.67* 35.40 0.00
16 26.66 6.58 5.13 7.66* 6.72 47.25 0.00
17 5.85 9.32 6.94* 3.40 4.99 69.51 0.00
18 23.77 12.72 8.53 10.98* 7.37 36.63 0.00
19 6.21 9.03* 7.73 8.09 4.12 64.81 0.00
20 14.09 11.56 10.84 25.07* 1.95 36.49 0.00
21 2.31 3.11 13.29* 4.62 2.96 73.70 0.00
22 6.43 5.78 28.32 8.53* 4.62 46.24 0.07
23 3.68 3.03 5.49 4.34 9.25* 74.13 0.07
24 9.90 16.04 5.20* 3.40 6.94 58.45 0.07
25 7.01 5.20* 6.86 3.54 4.84 72.40 0.14
(*) 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 Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
126.0 1 1
117.0 1 1
111.0 1 1
109.5 1 2 1 2
108.0 1 1
105.0 1 1
103.5 1 1
102.0 1 1
100.5 4 1 1 2
99.0 2 1 1 1 1
97.5 1 1 2
96.0 4 1 2 3 1
94.5 5 3 2 3 4
93.0 3 1 1 1 1
91.5 3 1 2 2
90.0 6 3 4
88.5 4 2 1 4 4 2
87.0 8 6 1 7 7
85.5 9 11 2 3 5 13
84.0 10 5 1 1 1 3 10 2
82.5 7 7 1 8 7 1
81.0 18 8 2 5 17 4 1
79.5 11 11 3 6 14 2
78.0 21 13 3 20 13 4
76.5 30 14 1 2 27 19
75.0 12 6 1 3 10 4 1
73.5 29 19 1 5 3 25 20
72.0 16 25 1 5 1 25 13 1
70.5 20 12 1 3 21 11 3
69.0 25 19 4 7 24 15 8
67.5 32 23 2 13 23 19 7
66.0 25 22 2 26 22 3
64.5 36 21 4 30 26 5
63.0 31 33 1 3 6 38 22 5
61.5 30 26 1 2 6 24 32 6
60.0 40 27 2 4 37 27 4
58.5 30 25 1 5 29 22 5
57.0 21 24 1 3 23 20 1
55.5 21 21 3 23 21 2
54.0 34 24 3 5 26 28 3
52.5 20 18 1 1 2 24 11 3
51.0 16 22 3 20 18
49.5 8 11 3 13 5
48.0 17 22 1 1 25 12 4
46.5 11 15 1 1 21 5 2
45.0 2 10 7 7 1
43.5 2 16 1 13 9
42.0 6 20 1 13 15 6
40.5 10 9 3 11 5 3
39.0 5 5 1 8 3 2
37.5 5 8 9 5 1
36.0 8 13 1 15 7 2
34.5 2 7 5 4 1
33.0 4 5 1 4 5 2
31.5 2 3 3 2 1
30.0 4 6 2 2 5 1 1
28.5 1 2 2 2 1
25.5 2 2 1
24.0 2 2 3 1 1
22.5 1 2 1 2
21.0 1 1
18.0 1
15.0 1 1
American Mathematics Competitions
2009 AMC 12 A Results for Arizona
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 83.83* 7.92 1.13 0.67 2.33 4.13 0.00
2 0.67 4.19 86.23* 4.06 2.73 2.13 0.00
3 6.59 72.59* 5.79 6.92 3.13 4.99 0.00
4 94.41* 1.00 0.33 0.86 1.66 1.73 0.00
5 1.46 2.40 3.59 75.18* 1.60 15.77 0.00
6 25.28 4.52 3.59 14.77 28.14* 23.62 0.07
7 2.53 16.17* 8.32 4.06 1.80 67.13 0.00
8 51.83* 2.00 6.99 6.39 10.18 22.62 0.00
9 3.13 4.66 5.99 27.28* 5.99 52.96 0.00
10 4.59 6.72 33.07* 10.51 6.72 38.39 0.00
11 1.66 2.59 4.72 6.39 68.00* 16.57 0.07
12 13.17 22.22* 6.52 7.19 4.79 46.11 0.00
13 11.24 12.24 12.64 13.24* 6.79 43.85 0.00
14 3.39 4.99* 9.65 12.71 6.79 62.48 0.00
15 8.05 5.66 10.25 16.63* 4.79 54.62 0.00
16 12.24 8.05 8.05 4.19* 3.39 64.07 0.00
17 4.86 4.06 5.72* 5.26 9.18 70.92 0.00
18 9.25 5.79* 6.39 2.86 3.19 72.52 0.00
19 7.65 10.91 5.66* 8.92 6.45 60.41 0.00
20 4.26 2.66 7.05 4.99 8.72* 72.32 0.00
21 6.99 4.72 5.46* 2.73 4.72 75.38 0.00
22 3.53 4.72 4.59 5.32 2.53* 79.31 0.00
23 1.80 3.66 4.66 3.86* 1.20 84.83 0.00
24 8.45 5.39 4.13 3.66 1.06* 77.31 0.00
25 2.26* 6.05 5.12 6.39 7.65 72.52 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 Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
138.0 1 1
121.5 1 1
118.5 1 1
112.5 1
111.0 1
108.0 2 1 1
106.5 1
103.5 1 1 1
96.0 1 1
90.0 1 1
88.5 1 1
87.0 1 1
85.5 1 1 1 1 1
84.0 1 1 1 1
82.5 1 1
81.0 1 1
79.5 1 1 2
78.0 2 1 1
76.5 1 2
72.0 3 1 2 2
70.5 1 1
69.0 1 1
67.5 1 1 2
66.0 1 2 2 2 1
64.5 1 1 1 1
61.5 1 1 2
60.0 1 1
57.0 1 1 2 1
55.5 1 3 1
54.0 2 2 1
52.5 1 1
51.0 2 1 2
48.0 1 1 3
45.0 1 1 1
43.5 1
42.0 2 1 1 1
40.5 1 1
39.0 1 1 1
37.5 1 1 1
36.0 2 1 3 1
34.5 1
33.0 1 1 4
31.5 1 1 1
30.0 1 2
25.5 2 1 1
21.0 1 1 1
18.0 1 1
American Mathematics Competitions
2009 AMC 10 B Results for Arizona
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 1.04 58.33* 9.38 20.83 7.29 2.08 1.04
2 5.21 3.13 79.17* 2.08 2.08 7.29 1.04
3 2.08 4.17 68.75* 18.75 2.08 4.17 0.00
4 4.17 7.29 58.33* 12.50 4.17 13.54 0.00
5 16.67 2.08 23.96 43.75* 4.17 9.38 0.00
6 2.08 5.21 11.46 56.25* 5.21 18.75 1.04
7 18.75 8.33 39.58* 20.83 10.42 2.08 0.00
8 5.21 28.13* 10.42 34.38 3.13 18.75 0.00
9 33.33* 2.08 7.29 8.33 5.21 43.75 0.00
10 12.50 6.25 7.29 5.21 40.63* 28.13 0.00
11 48.96* 8.33 7.29 10.42 1.04 23.96 0.00
12 23.96* 20.83 2.08 10.42 11.46 31.25 0.00
13 4.17 18.75 33.33* 8.33 9.38 26.04 0.00
14 3.13 29.17 22.92 15.63* 6.25 22.92 0.00
15 18.75 9.38 4.17 6.25 36.46* 25.00 0.00
16 2.08 16.67* 7.29 6.25 2.08 65.63 0.00
17 22.92 7.29 22.92* 4.17 3.13 39.58 0.00
18 4.17 8.33 12.50 13.54* 3.13 58.33 0.00
19 23.96* 16.67 7.29 13.54 5.21 33.33 0.00
20 8.33 14.58* 5.21 3.13 4.17 64.58 0.00
21 7.29 16.67 4.17 15.63* 5.21 51.04 0.00
22 3.13 9.38* 4.17 7.29 3.13 72.92 0.00
23 5.21 12.50 11.46* 7.29 3.13 60.42 0.00
24 13.54* 3.13 6.25 4.17 8.33 64.58 0.00
25 14.58 13.54* 8.33 7.29 8.33 47.92 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
2009 AMC 12 B Results for Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
118.5 1 1
114.0 3 1 1 1
105.0 1 1
103.5 4 1 3
102.0 1 1
100.5 1 1 1 1
99.0 1 1
97.5 3 2 1
96.0 1 1
94.5 2 1 1 1
90.0 2 2 1
88.5 1 1
87.0 1 1
85.5 1 1
82.5 2 2
81.0 1 1 2 1
79.5 2 2
78.0 1 1 1 1
76.5 1 1 1 1
75.0 1 1 2
73.5 2 1 1
72.0 2 1 1 2 2
70.5 2 2 1
69.0 2 1 1
67.5 1 1 1 1 1
66.0 1 2 1 1 1
64.5 1 3 3 1 1
63.0 1 2 3
61.5 1 3 1 1 2 1
60.0 1 1 1 1 1
58.5 2 1 1 3
57.0 1 1
55.5 2 1 3 1
54.0 3 2 1 3 1
52.5 1
51.0 1 1 1 1
49.5 3 1 2
48.0 1 1 1 1 1
46.5 2 1 2 2 1
45.0 1 1 1 1 1
43.5 1 1 1 1
42.0 2 1 1
37.5 1
36.0 1 1 1 1
34.5 1 1
24.0 1 1
22.5 1 1
19.5 1 1
18.0 1 1 1 1
American Mathematics Competitions
2009 AMC 12 B Results for Arizona
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 0.00 80.00* 4.17 11.67 3.33 0.83 0.00
2 1.67 5.00 76.67* 12.50 1.67 2.50 0.00
3 5.83 1.67 18.33 63.33* 2.50 7.50 0.83
4 0.83 2.50 76.67* 10.83 1.67 7.50 0.00
5 0.00 3.33 6.67 74.17* 5.00 10.83 0.00
6 6.67 20.00 59.17* 6.67 5.83 1.67 0.00
7 9.17 54.17* 9.17 18.33 3.33 5.83 0.00
8 4.17 2.50 5.00 5.00 65.00* 18.33 0.00
9 46.67* 7.50 4.17 5.00 0.00 36.67 0.00
10 35.83* 16.67 8.33 9.17 2.50 27.50 0.00
11 5.83 25.83 19.17 18.33* 8.33 22.50 0.00
12 1.67 3.33 4.17 3.33 32.50* 55.00 0.00
13 3.33 3.33 2.50 20.83* 10.00 60.00 0.00
14 10.00 10.00 37.50* 3.33 0.83 38.33 0.00
15 0.83 48.33* 7.50 11.67 5.83 25.83 0.00
16 1.67 5.00* 1.67 4.17 3.33 84.17 0.00
17 19.17 15.83* 8.33 6.67 4.17 45.83 0.00
18 4.17 8.33 13.33* 6.67 4.17 63.33 0.00
19 0.83 7.50 1.67 2.50 5.00* 82.50 0.00
20 3.33 5.83 2.50* 2.50 6.67 79.17 0.00
21 2.50* 5.83 5.83 20.00 15.83 50.00 0.00
22 1.67 3.33 2.50* 4.17 1.67 86.67 0.00
23 0.00 2.50 4.17 6.67* 5.00 81.67 0.00
24 7.50 10.00* 0.83 5.83 0.83 75.00 0.00
25 8.33 4.17 5.00 5.00 8.33* 69.17 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column