American Mathematics Competitions
2009 AMC 10 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 688
Number of unofficial participants: 0
Average score of participants: 54.0
Average score for female students is: 52.2 ( 313 Students)
Average score for male students is: 56.0 ( 314 Students)
Average score for unspecified gender is 52.8 ( 61 Students)
Average score for grade 10 is: 55.0 ( 334 Students)
Average score for grade 9 is: 52.5 ( 317 Students)
Average score for grade 8 and below is: 71.3 ( 9 Students)
Average score with unknown grade: 53.9 ( 28 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 17
Average school winning score 82.41
American Mathematics Competitions
2009 AMC 12 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 709
Number of unofficial participants: 0
Average score of participants: 55.4
Average score for female students is: 53.0 ( 326 Students)
Average score for male students is: 57.8 ( 308 Students)
Average score for unspecified gender is 56.0 ( 75 Students)
Average score for grade 12 is: 56.5 ( 272 Students)
Average score for grade 11 is: 55.6 ( 344 Students)
Average score for grade 10 is: 50.4 ( 53 Students)
Average score for grade 9 is: 51.4 ( 21 Students)
Average score with unknown grade: 53.4 ( 19 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 1
Number of schools returning results 19
Average school winning score 80.45
Average school team score 223.11
American Mathematics Competitions
2009 AMC 10 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 68
Number of unofficial participants: 0
Average score of participants: 59.8
Average score for female students is: 55.0 ( 27 Students)
Average score for male students is: 63.7 ( 33 Students)
Average score for unspecified gender is 60.0 ( 8 Students)
Average score for grade 10 is: 58.6 ( 33 Students)
Average score for grade 9 is: 67.2 ( 21 Students)
Average score for grade 8 and below is: 48.0 ( 10 Students)
Average score with unknown grade: 60.8 ( 4 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 6
Average school winning score 83.75
American Mathematics Competitions
2009 AMC 12 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 140
Number of unofficial participants: 0
Average score of participants: 61.3
Average score for female students is: 56.7 ( 54 Students)
Average score for male students is: 64.5 ( 84 Students)
Average score for unspecified gender is 54.8 ( 2 Students)
Average score for grade 12 is: 67.1 ( 53 Students)
Average score for grade 11 is: 58.9 ( 64 Students)
Average score for grade 10 is: 55.9 ( 21 Students)
Average score for grade 9 is: 55.5 ( 1 Student)
Average score with unknown grade: 27.0 ( 1 Student)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 3
Number of schools returning results 7
Average school winning score 89.14
Average school team score 250.07
2009 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
310.5 1 1
270.0 1 2
268.5 1 3
256.5 1 2 4
250.5 1 7
247.5 1 1 8
246.0 1 10
243.0 1 11
240.0 1 12
237.0 1 13
235.5 1 14
231.0 1 15
228.0 1 16
223.5 1 17
208.5 1 18
205.5 1 19
201.0 1 1 20
195.0 1 22
189.0 1 23
184.5 1 24
183.0 1 25
174.0 1 26
2009 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
114.0 1
108.0 1
106.5 1
102.0 2 1
100.5 1
99.0 1
97.5 2
94.5 3 2
93.0 1
91.5 1 1
90.0 2 4 1
88.5 3
87.0 1 3 3
85.5 3 1 2
84.0 5 4 2 1
82.5 2 3 7
81.0 4 1 3 1
79.5 3 3 8 1
78.0 9 3 11 3
76.5 10 10 1
75.0 8 1 11 2
73.5 14 3 3 2
72.0 15 1 10
70.5 11 4 8
69.0 22 8 17 5
67.5 28 7 18 1
66.0 32 4 17 1
64.5 23 6 19
63.0 29 10 17
61.5 24 7 25 1
60.0 38 5 24 2
58.5 34 2 24 3
57.0 28 5 28 2
55.5 37 9 31 2
54.0 34 1 34 6
52.5 26 5 20 1
51.0 22 5 32 1
49.5 25 5 22 2
48.0 28 1 37 7
46.5 21 5 25 4
45.0 13 3 17 1
43.5 22 2 37 2
42.0 28 2 35 3
40.5 17 4 21
39.0 20 18 2
37.5 15 2 11
36.0 9 19 3
34.5 9 1 6 2
33.0 7 14
31.5 5 3 5
30.0 6 2 13
28.5 1
27.0 3 2
25.5 3 1 3
24.0 4 4
22.5 2
21.0 1
18.0 2 3
16.5 1
12.0 2
10.5 1
American Mathematics Competitions
2009 AMC 10 A Results for Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
102.0 1 1
94.5 3 1 2
91.5 1 1
90.0 2 2 1 2 1
88.5 2 1 3
87.0 1 1 3
85.5 1 1 1
84.0 1 1 1 1
82.5 3 2 1 2 4
81.0 2 1 2 1
79.5 8 1 5 2
78.0 8 3 3 8
76.5 7 2 4 6
75.0 4 4 3 6 2
73.5 2 1 1 2
72.0 3 5 3 6 1
70.5 5 2 3 5
69.0 8 9 2 5 10
67.5 8 10 6 11 1
66.0 10 7 9 8
64.5 10 6 1 7 9 2
63.0 11 6 7 10
61.5 12 12 9 15 1
60.0 13 10 12 12
58.5 9 13 7 16 1
57.0 12 13 1 13 12 2
55.5 13 15 16 15
54.0 17 14 16 17 1
52.5 5 13 12 7 1
51.0 14 17 13 17 2
49.5 9 12 13 8 1
48.0 18 15 20 16 1
46.5 15 7 1 9 13 2
45.0 4 11 13 4
43.5 15 18 19 17 1
42.0 15 16 15 17 3
40.5 9 12 9 12
39.0 7 10 11 7
37.5 1 4 5 5 1
36.0 11 4 9 9 1
34.5 3 3 3 3
33.0 4 9 9 5
31.5 1 4 3 2
30.0 4 9 6 7
25.5 2 2 1
24.0 2 2 3 1
22.5 2 1 1
18.0 2 1 2 1
American Mathematics Competitions
2009 AMC 10 A Results for Montana
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 0.15 0.15 0.58 11.92 86.77* 0.44 0.00
2 89.83* 1.74 1.16 2.62 2.91 1.74 0.00
3 2.62 17.30 46.08* 12.21 5.81 15.99 0.00
4 10.90* 10.32 4.65 9.88 20.35 43.90 0.00
5 12.94 7.56 7.12 3.92 31.98* 36.34 0.15
6 39.24* 5.96 11.92 7.56 2.76 32.56 0.00
7 5.09 4.51 16.57* 6.10 42.73 24.85 0.15
8 14.83 65.84* 6.25 3.05 1.74 8.28 0.00
9 11.92 11.77* 9.45 7.70 0.58 58.58 0.00
10 5.23 15.84* 8.28 13.66 3.20 53.78 0.00
11 2.62 4.07 7.56 40.26* 2.62 42.88 0.00
12 5.09 7.99 25.00* 15.41 7.70 38.81 0.00
13 21.37 6.83 3.92 18.75 7.56* 41.57 0.00
14 25.00* 2.47 4.94 6.10 18.02 43.46 0.00
15 4.51 6.54 8.28 10.90 31.69* 38.08 0.00
16 25.00 6.69 5.67 5.23* 6.25 51.16 0.00
17 8.28 9.88 3.92* 1.74 6.25 69.91 0.00
18 26.45 12.79 5.96 10.61* 9.01 35.17 0.00
19 5.23 8.14* 5.67 7.56 4.80 68.60 0.00
20 13.52 14.39 12.94 19.62* 1.89 37.65 0.00
21 2.18 3.49 14.53* 6.10 2.76 70.93 0.00
22 7.70 6.83 33.72 9.16* 3.92 38.66 0.00
23 4.36 4.65 7.27 3.63 15.55* 64.53 0.00
24 10.47 18.75 3.78* 4.51 9.74 52.76 0.00
25 4.65 4.65* 9.59 6.25 4.51 70.35 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 Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
100.5 1 1
91.5 1 1
90.0 1 1 2
87.0 1 1
85.5 1 2 2 1
84.0 4 1 1 4
82.5 2 2
81.0 1 2 1 3
79.5 2 1 1 2
78.0 5 3 4 4 1
76.5 7 1 1 5 4
75.0 4 3 3 5
73.5 6 6 1 6 7
72.0 8 5 12 3
70.5 6 3 2 8 1
69.0 14 3 9 13
67.5 18 7 1 2 12 12 1
66.0 19 8 1 16 14 1
64.5 6 13 1 11 10 1
63.0 15 13 2 17 10
61.5 10 14 2 13 8 1
60.0 20 15 4 2 17 14 1
58.5 8 20 1 1 14 16 2
57.0 13 12 1 18 9
55.5 15 21 7 21 9
54.0 12 18 1 2 12 18 1
52.5 10 15 3 18 4 1
51.0 8 11 2 1 9 9 1
49.5 9 14 2 3 10 9 1
48.0 14 12 14 14
46.5 4 15 2 14 3 2
45.0 4 9 1 1 3 8
43.5 8 11 2 3 9 7 1
42.0 16 9 4 13 10 1
40.5 2 12 4 8 4 1
39.0 9 8 1 11 8
37.5 4 9 1 3 5 5 1
36.0 5 3 1 2 3 2 1
34.5 5 3 5 4
33.0 3 4 3 4
31.5 2 3 1 2 2
30.0 2 4 1 1 4
28.5 1 1
27.0 2 2 1
25.5 1 1 1 1 1
24.0 3 1 1 2
21.0 1 1
18.0 2 1 1
16.5 1 1
12.0 2 1 1
10.5 1 1
American Mathematics Competitions
2009 AMC 12 A Results for Montana
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 76.87* 9.17 1.69 1.13 3.67 7.48 0.00
2 2.26 8.04 72.92* 6.35 4.51 5.92 0.00
3 6.49 64.32* 6.63 9.17 4.09 9.17 0.14
4 90.97* 2.40 0.42 0.85 2.54 2.82 0.00
5 3.10 1.97 5.50 59.66* 1.55 28.21 0.00
6 30.47 5.92 2.26 19.46 12.55* 29.34 0.00
7 3.10 8.04* 6.21 2.68 2.54 77.43 0.00
8 39.63* 1.69 8.89 6.21 13.54 30.04 0.00
9 2.96 4.94 4.65 11.42* 10.44 65.59 0.00
10 5.22 8.60 24.96* 12.83 5.36 43.02 0.00
11 3.39 4.65 4.23 8.74 56.42* 22.57 0.00
12 14.67 12.55* 6.63 5.50 5.64 55.01 0.00
13 11.99 14.81 9.31 7.76* 5.50 50.63 0.00
14 2.54 2.82* 10.58 11.57 5.92 66.43 0.14
15 7.90 8.04 6.91 11.42* 3.67 62.06 0.00
16 11.28 7.48 8.74 3.81* 3.24 65.44 0.00
17 3.10 4.09 4.51* 6.35 7.62 74.33 0.00
18 7.33 5.92* 6.06 2.40 5.78 72.50 0.00
19 6.21 10.86 5.64* 9.17 6.35 61.78 0.00
20 4.65 1.55 8.46 4.09 11.99* 69.25 0.00
21 6.21 4.65 5.08* 2.68 4.65 76.73 0.00
22 3.24 5.50 3.95 6.63 1.97* 78.70 0.00
23 1.83 4.80 4.09 2.54* 0.42 86.32 0.00
24 8.89 3.95 3.53 3.81 1.83* 78.00 0.00
25 3.67* 4.65 3.81 5.92 6.06 75.88 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
2009 AMC 10 B Results for Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
114.0 1 1
108.0 1 1
94.5 2 1 1
93.0 1 1
90.0 1 1
84.0 1 1
81.0 1 1
79.5 1 1
78.0 1 1 2 1
76.5 1
75.0 2 2
73.5 1 1 2
69.0 5 1 2 2
67.5 1 1
66.0 1 1
61.5 1
60.0 1 1 1 1
58.5 1 1 2 1
57.0 1 1 1 1
55.5 1 1 1
54.0 4 1 2 3 1
52.5 1
51.0 1 1
49.5 1 1 1 1
48.0 2 5 1 3 3
46.5 3 1 4
45.0 1 1
43.5 1 1 1
42.0 1 2 2 1
39.0 2 1 1
36.0 1 2 1 2
34.5 1 1 1 1
American Mathematics Competitions
2009 AMC 10 B Results for Montana
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 1.47 64.71* 11.76 20.59 0.00 1.47 0.00
2 5.88 1.47 80.88* 0.00 0.00 11.76 0.00
3 1.47 4.41 83.82* 4.41 1.47 4.41 0.00
4 1.47 1.47 66.18* 16.18 2.94 11.76 0.00
5 8.82 2.94 22.06 45.59* 4.41 16.18 0.00
6 1.47 1.47 5.88 63.24* 4.41 23.53 0.00
7 11.76 20.59 39.71* 11.76 5.88 10.29 0.00
8 2.94 29.41* 2.94 48.53 2.94 13.24 0.00
9 14.71* 2.94 4.41 7.35 2.94 67.65 0.00
10 10.29 10.29 1.47 7.35 19.12* 51.47 0.00
11 50.00* 5.88 4.41 5.88 0.00 33.82 0.00
12 17.65* 5.88 7.35 16.18 13.24 39.71 0.00
13 2.94 10.29 30.88* 8.82 16.18 30.88 0.00
14 8.82 26.47 29.41 11.76* 4.41 19.12 0.00
15 14.71 5.88 2.94 2.94 39.71* 33.82 0.00
16 4.41 13.24* 2.94 4.41 1.47 73.53 0.00
17 26.47 14.71 5.88* 1.47 1.47 50.00 0.00
18 0.00 7.35 5.88 4.41* 4.41 77.94 0.00
19 16.18* 20.59 11.76 14.71 0.00 36.76 0.00
20 4.41 11.76* 1.47 0.00 5.88 76.47 0.00
21 7.35 11.76 2.94 1.47* 8.82 67.65 0.00
22 0.00 0.00* 4.41 4.41 2.94 88.24 0.00
23 8.82 11.76 8.82* 11.76 2.94 55.88 0.00
24 10.29* 1.47 2.94 4.41 5.88 75.00 0.00
25 16.18 13.24* 5.88 4.41 13.24 47.06 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 Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
106.5 1 1
102.0 2 1 1
99.0 1 1
97.5 2 1 1
87.0 3 1 2
85.5 1 1
84.0 3 1 1 3
82.5 2 1 2
81.0 1 1
79.5 1 2 1 2
78.0 3 2 1
75.0 1 1
73.5 3 1 2
72.0 1 1
70.5 4 2 2
69.0 5 3 3 5
67.5 4 3 2 5
66.0 3 1 1 1 2
64.5 5 1 1 2 3
63.0 7 3 1 7 2
61.5 2 5 1 4 2
60.0 4 1 2 3
58.5 2 1 1
57.0 1 4 4 1
55.5 8 1 1 2 5 1
54.0 1 1
52.5 5 2 3
51.0 2 3 1 4
49.5 5 2 2 1
48.0 1 1
46.5 1 4 2 2 1
45.0 1 2 3
43.5 2 2
42.0 2 2
40.5 2 2 2 2
37.5 1 1 2
34.5 1 1
31.5 2 1 2 1
30.0 2 1 1
27.0 1 1 1
25.5 1 1
American Mathematics Competitions
2009 AMC 12 B Results for Montana
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 0.71 77.86* 5.71 12.14 2.14 0.71 0.71
2 0.71 5.71 75.00* 8.57 0.71 9.29 0.00
3 9.29 1.43 30.71 45.00* 2.14 11.43 0.00
4 2.86 2.14 72.86* 8.57 0.00 13.57 0.00
5 0.71 2.86 5.00 74.29* 4.29 12.86 0.00
6 10.71 14.29 51.43* 11.43 7.14 3.57 1.43
7 5.00 40.71* 6.43 31.43 5.71 10.71 0.00
8 4.29 5.00 2.86 7.86 58.57* 20.71 0.71
9 42.14* 2.86 1.43 3.57 1.43 48.57 0.00
10 33.57* 20.71 9.29 8.57 1.43 26.43 0.00
11 2.14 30.71 12.86 13.57* 10.71 30.00 0.00
12 2.86 1.43 2.86 2.86 18.57* 71.43 0.00
13 3.57 2.86 2.14 7.14* 2.86 81.43 0.00
14 12.86 17.86 17.86* 1.43 0.00 50.00 0.00
15 2.14 42.86* 7.14 5.00 8.57 33.57 0.71
16 1.43 3.57* 2.86 2.86 0.00 89.29 0.00
17 27.86 18.57* 5.00 4.29 3.57 40.71 0.00
18 7.14 5.71 13.57* 5.71 3.57 64.29 0.00
19 0.00 2.14 0.00 2.86 3.57* 91.43 0.00
20 2.14 4.29 2.14* 0.00 2.14 89.29 0.00
21 4.29* 5.71 7.14 9.29 28.57 44.29 0.71
22 1.43 1.43 3.57* 4.29 1.43 87.86 0.00
23 3.57 0.00 2.86 1.43* 1.43 90.71 0.00
24 5.71 3.57* 3.57 4.29 1.43 81.43 0.00
25 10.00 5.71 3.57 5.00 2.14* 73.57 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column