American Mathematics Competitions
2008 AMC 10 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 712
Number of unofficial participants: 0
Average score of participants: 43.8
Average score for female students is: 42.1 ( 315 Students)
Average score for male students is: 45.8 ( 277 Students)
Average score for unspecified gender is 43.4 ( 120 Students)
Average score for grade 10 is: 44.3 ( 354 Students)
Average score for grade 9 is: 43.1 ( 270 Students)
Average score for grade 8 and below is: 44.2 ( 13 Students)
Average score with unknown grade: 43.7 ( 75 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 0
Number of schools returning results 20
Average school winning score 67.13
American Mathematics Competitions
2008 AMC 12 A Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 777
Number of unofficial participants: 0
Average score of participants: 54.5
Average score for female students is: 52.3 ( 336 Students)
Average score for male students is: 56.3 ( 387 Students)
Average score for unspecified gender is 55.3 ( 54 Students)
Average score for grade 12 is: 55.9 ( 274 Students)
Average score for grade 11 is: 53.5 ( 365 Students)
Average score for grade 10 is: 54.9 ( 100 Students)
Average score for grade 9 is: 53.8 ( 22 Students)
Average score with unknown grade: 53.7 ( 16 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 4
Number of schools returning results 24
Average school winning score 82.69
Average school team score 225.38
American Mathematics Competitions
2008 AMC 10 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 174
Number of unofficial participants: 0
Average score of participants: 52.6
Average score for female students is: 49.6 ( 75 Students)
Average score for male students is: 56.7 ( 77 Students)
Average score for unspecified gender is 48.1 ( 22 Students)
Average score for grade 10 is: 56.1 ( 89 Students)
Average score for grade 9 is: 48.9 ( 79 Students)
Average score for grade 8 and below is: 50.1 ( 5 Students)
Average score with unknown grade: 42.0 ( 1 Student)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 0
Number of schools returning results 4
Average school winning score 77.63
American Mathematics Competitions
2008 AMC 12 B Results for Montana
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 133
Number of unofficial participants: 0
Average score of participants: 57.0
Average score for female students is: 53.2 ( 59 Students)
Average score for male students is: 60.2 ( 61 Students)
Average score for unspecified gender is 59.0 ( 13 Students)
Average score for grade 12 is: 55.3 ( 42 Students)
Average score for grade 11 is: 57.3 ( 83 Students)
Average score for grade 10 is: 72.9 ( 5 Students)
Average score with unknown grade: 45.5 ( 3 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 1
Number of schools returning results 4
Average school winning score 78.00
Average school team score 215.63
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
283.5 1 1
277.5 1 2
271.5 1 3
270.0 1 4
261.0 1 5
258.0 1 6
252.0 1 7
249.0 1 8
246.0 2 9
244.5 1 11
238.5 1 12
235.5 1 13
217.5 1 14
211.5 1 15
208.5 1 1 16
202.5 2 18
198.0 1 20
195.0 1 21
192.0 1 22
189.0 1 1 23
187.5 1 25
183.0 1 26
180.0 1 27
174.0 1 28
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
118.5 1
109.5 1
105.0 1
99.0 2
94.5 1
93.0 3
91.5 1
90.0 1
88.5 1 2
87.0 2
85.5 5 1 2
84.0 3
82.5 7
81.0 2 1
79.5 10 2 1 5
78.0 7 1
76.5 8 3 2
75.0 7 2 1 1
73.5 7 4 4 2
72.0 16 1 4
70.5 13 3 5 4
69.0 15 1 4 3
67.5 13 8 7 5
66.0 25 5 4 4
64.5 19 4 10 3
63.0 31 7 8 5
61.5 29 5 10 3
60.0 35 8 9 7
58.5 27 7 6 6
57.0 29 9 11 4
55.5 43 7 19 6
54.0 25 5 26 11
52.5 30 11 16 10
51.0 38 4 18 11
49.5 51 5 31 6
48.0 38 7 34 15
46.5 26 7 45 4
45.0 26 4 44 6
43.5 26 43 6
42.0 44 4 42 6
40.5 26 1 42 3
39.0 16 1 27 8
37.5 13 44 6
36.0 17 1 34 3
34.5 6 2 33 4
33.0 5 1 24 1
31.5 10 1 24 2
30.0 7 22 3
28.5 2 1 11
27.0 1 20 3
25.5 5 1
24.0 4 8
22.5 6
21.0 1 1 1
19.5 1
18.0 1 3
16.5 1
15.0 1
12.0 1
American Mathematics Competitions
2008 AMC 10 A Results for Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
88.5 2 1 1
81.0 1
79.5 1 1
78.0 1 1
76.5 1 1 1 1
75.0 1 1
73.5 2 1 3 1
72.0 1 1
70.5 4 1 4
69.0 2 2 2 2
67.5 5 3 4
66.0 3 1 1 3
64.5 3 6 1 4 4 1
63.0 7 5 2 1
61.5 5 3 2 7 1
60.0 7 1 3 5 1
58.5 4 2 1 3 2
57.0 4 5 1 4 4 2
55.5 7 8 5 12 2
54.0 8 14 6 16 4
52.5 12 1 9 3 4
51.0 10 6 7 10 1
49.5 12 12 8 19 4
48.0 14 12 1 10 18 5
46.5 18 19 1 1 17 21 5
45.0 13 24 1 18 22 3
43.5 21 18 17 21 5
42.0 15 18 18 18 6
40.5 18 17 1 13 25 3
39.0 9 15 12 13 2
37.5 10 26 1 15 22 6
36.0 12 21 16 18
34.5 8 14 3 12 11 7
33.0 6 11 11 13
31.5 9 12 11 10 3
30.0 11 8 12 8 2
28.5 2 6 2 7 2
27.0 3 14 1 8 9 2
25.5 1 3 3 1 1
24.0 6 2 4 4
22.5 1 5 2 4
21.0 1
19.5 1 1
18.0 2 1 2 1
16.5 1
12.0 1 1
American Mathematics Competitions
2008 AMC 10 A Results for Montana
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 2.25 1.26 13.62 74.30* 7.02 1.54 0.00
2 23.60* 23.46 34.55 2.25 0.98 15.17 0.00
3 46.77* 5.48 4.92 3.09 5.48 34.27 0.00
4 6.46 11.10 33.15* 14.04 7.16 28.09 0.00
5 9.55 14.47* 3.51 1.69 4.78 66.01 0.00
6 1.54 1.12 1.69 8.85* 61.24 25.56 0.00
7 52.95 3.51 3.65 3.37 4.35* 32.16 0.00
8 28.09* 11.10 3.37 19.10 3.65 34.69 0.00
9 4.21 14.75* 22.33 17.13 7.72 33.85 0.00
10 0.98 38.48 7.87 1.54 32.72* 18.40 0.00
11 6.32 5.48 11.24 46.21* 11.10 19.66 0.00
12 10.81 6.04 11.80* 8.15 5.34 57.87 0.00
13 16.15 30.34 7.44 14.61* 2.53 28.93 0.00
14 7.30 5.62 7.44 5.62* 4.63 69.38 0.00
15 3.23 2.67 37.22 15.59* 6.88 34.41 0.00
16 2.53 4.21* 3.51 14.33 6.04 69.38 0.00
17 7.87 3.09* 4.92 3.65 2.39 78.09 0.00
18 4.07 4.63* 4.35 5.06 3.23 78.65 0.00
19 4.07 5.34 4.63* 3.51 1.54 80.90 0.00
20 3.93 4.21 18.12 5.62* 0.98 67.13 0.00
21 7.02* 9.55 5.90 4.78 3.23 69.52 0.00
22 7.16 5.90 23.17 12.36* 7.72 43.40 0.28
23 8.43 5.34* 5.48 5.90 2.67 72.19 0.00
24 5.76 9.97 6.46 3.65* 6.32 67.84 0.00
25 2.95 8.43 2.81* 4.49 4.49 76.83 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
2008 AMC 12 A Results for Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
118.5 1 1
109.5 1 1
99.0 2 1 1
94.5 1 1
93.0 2 1 2
91.5 1
88.5 1
87.0 1 1 1 1
85.5 4 1 2 3
84.0 2 1 1 1 1
82.5 5 2 1 2 1 3
81.0 2 1 1
79.5 5 3 6 4
78.0 7 5 2
76.5 5 2 1 4 3
75.0 3 4 2 4 1
73.5 3 4 1 4 2
72.0 10 4 2 6 8
70.5 5 7 6 6 1
69.0 5 9 2 8 5
67.5 5 8 1 5 7
66.0 18 6 4 9 11 1
64.5 11 6 1 2 9 6 1
63.0 16 15 1 6 14 10
61.5 15 12 6 12 10 1
60.0 20 10 2 7 16 10
58.5 16 9 5 11 9 2
57.0 19 8 1 19 9
55.5 22 19 1 2 16 24
54.0 12 11 2 1 16 6
52.5 13 16 2 7 12 8 1
51.0 23 15 1 7 20 10
49.5 21 27 2 7 21 19 2
48.0 17 17 3 4 15 15 1
46.5 13 12 4 12 9 1
45.0 11 13 1 6 14 5
43.5 8 14 2 2 14 7 1
42.0 11 28 5 23 15 1
40.5 13 13 5 16 5
39.0 8 8 3 7 6
37.5 5 6 1 5 6 1
36.0 5 10 1 2 9 4 1
34.5 3 3 5 1
33.0 2 2 3 2
31.5 6 3 4 6
30.0 5 2 1 2 4
28.5 1 1 1 1
27.0 1 1
24.0 2 2 1 2 1
21.0 1 1
18.0 1 1
15.0 1 1
American Mathematics Competitions
2008 AMC 12 A Results for Montana
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.16 0.90 7.46 84.04* 5.02 1.42 0.00
2 88.67* 3.99 1.67 0.77 3.99 0.90 0.00
3 5.41 7.46 49.94* 11.33 6.69 19.18 0.00
4 8.49 24.71* 4.38 4.50 4.76 53.15 0.00
5 1.67 22.39* 18.53 28.70 6.18 22.52 0.00
6 47.62* 8.88 2.57 22.52 3.60 14.80 0.00
7 4.50 4.38 7.72 64.99* 6.56 11.84 0.00
8 5.79 9.65 34.75* 6.95 20.33 22.52 0.00
9 6.31 7.72 5.53 17.37* 6.18 56.89 0.00
10 10.94 39.51 11.20 23.17* 1.03 14.16 0.00
11 7.46 6.31 51.74* 6.95 3.99 23.55 0.00
12 7.21 7.59* 7.08 6.18 4.89 67.05 0.00
13 2.45 10.17* 6.56 18.40 6.82 55.60 0.00
14 8.49* 5.02 3.35 3.47 3.86 75.80 0.00
15 6.95 10.30 7.21 5.28* 11.07 59.20 0.00
16 3.35 6.56 5.02 4.63* 1.54 78.89 0.00
17 2.45 4.12 3.99 3.47* 2.83 83.14 0.00
18 2.45 3.35 4.38* 2.83 4.63 82.37 0.00
19 1.29 3.60 4.89* 5.15 1.93 83.14 0.00
20 2.06 3.22 3.60 3.22 3.99* 83.91 0.00
21 4.76 4.50 4.50 4.63* 1.80 79.79 0.00
22 3.22 6.56 4.50* 7.21 4.76 73.75 0.00
23 1.93 2.45 2.57 3.09* 1.67 88.29 0.00
24 3.22 10.81 9.78 3.35* 7.08 65.77 0.00
25 2.57 1.93 4.89 5.66* 2.70 82.24 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
2008 AMC 10 B Results for Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
90.0 1 1
85.5 2 2
79.5 4 1 5
75.0 1 1
73.5 2 2
72.0 1 2 1 1 2
70.5 3 1 4
69.0 1 2 2 1
67.5 2 3 3 2
66.0 3 1 2 2
64.5 2 1 2
63.0 4 1 3 2
61.5 2 1 1 2
60.0 4 2 2 5
58.5 1 5 6
57.0 2 2 1 3
55.5 4 2 3 3
54.0 4 5 8 3
52.5 4 3 1 4 5
51.0 4 5 6 5
49.5 2 3 4 2
48.0 8 5 2 9 4
46.5 1 2 4
45.0 3 3 5 1
43.5 1 3 3 3
42.0 1 2 2 3 1
40.5 1 2 1 2
39.0 1 7 3 5
37.5 5 1 4 2
36.0 2 2 1
34.5 1 3 1 3
33.0 1 1
31.5 2 1 1
30.0 1 2 1 2
27.0 1 3
25.5 1 1
American Mathematics Competitions
2008 AMC 10 B Results for Montana
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 3.45 0.00 3.45 10.92 75.86* 6.32 0.00
2 10.34 68.39* 7.47 2.87 1.72 9.20 0.00
3 20.69 5.17 9.77 8.62* 5.75 50.00 0.00
4 13.22 14.37 55.75* 2.87 0.57 13.22 0.00
5 24.14* 8.62 4.60 2.87 6.32 53.45 0.00
6 8.05 4.02 20.11* 11.49 12.07 44.25 0.00
7 10.92 6.32 54.60* 4.02 5.75 18.39 0.00
8 4.60 13.79 39.66* 8.05 5.17 28.74 0.00
9 6.90* 1.72 5.75 7.47 10.34 67.82 0.00
10 5.17* 10.34 4.02 4.60 4.60 71.26 0.00
11 0.57 4.60* 6.32 11.49 1.72 75.29 0.00
12 72.41* 6.32 4.02 1.72 4.02 11.49 0.00
13 22.99 1.72* 3.45 2.87 4.02 64.94 0.00
14 5.75 20.11* 3.45 5.75 2.30 62.64 0.00
15 3.45* 5.17 4.02 5.75 7.47 74.14 0.00
16 14.94* 29.89 4.60 4.60 7.47 37.93 0.57
17 2.87 5.75* 28.74 14.94 12.07 35.63 0.00
18 8.05 13.79* 11.49 6.90 2.87 56.90 0.00
19 2.87 2.30 2.87 4.02 4.60* 83.33 0.00
20 7.47 24.14* 11.49 6.32 5.17 45.40 0.00
21 7.47 13.22 1.72* 4.02 3.45 70.11 0.00
22 16.09 1.72 27.01* 10.34 9.20 35.63 0.00
23 10.34 3.45* 3.45 7.47 3.45 71.84 0.00
24 4.60 10.92 5.75* 8.62 6.32 63.79 0.00
25 20.11 13.22* 11.49 2.30 3.45 49.43 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
2008 AMC 12 B Results for Montana
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
105.0 1 1
85.5 1
79.5 1 1 2
76.5 2 1 1 2
75.0 1 1 1 1
73.5 4 3 1
70.5 1 1 2
69.0 1
67.5 5 3 2 4 2
66.0 5 5
64.5 3 1 4
63.0 2 5 3 4
61.5 2 3 3 2
60.0 4 2 8
58.5 2 5 5 2
57.0 3 6 6 3
55.5 5 1 3 4
54.0 3 1 4
52.5 2 8 10 1
51.0 3 1 2 2
49.5 5 3 2
48.0 2 4 4 2 1
46.5 3 3 3 3 1
45.0 4 2 2
42.0 1 3 1 2 1
40.5 1
39.0 1 1
36.0 1 1
34.5 2 1 1
33.0 1 1
31.5 1 1
28.5 1 1
21.0 1 1
American Mathematics Competitions
2008 AMC 12 B Results for Montana
Analysis
Table of Item Difficulty for the 2008
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.75 0.00 2.26 9.77 85.71* 1.50 0.00
2 6.02 75.94* 7.52 0.75 3.01 6.77 0.00
3 13.53 16.54 63.16* 0.75 0.00 6.02 0.00
4 1.50 6.02 6.02 63.16* 1.50 21.80 0.00
5 2.26 7.52 58.65* 7.52 4.51 19.55 0.00
6 85.71* 3.76 0.00 0.00 3.76 6.77 0.00
7 36.84* 6.02 2.26 3.76 3.01 48.12 0.00
8 2.26 3.76 35.34* 5.26 11.28 42.11 0.00
9 16.54* 4.51 4.51 3.76 4.51 66.17 0.00
10 3.76 11.28* 12.03 4.51 6.77 61.65 0.00
11 3.01* 4.51 3.76 4.51 40.60 43.61 0.00
12 24.06 3.76* 8.27 1.50 3.76 58.65 0.00
13 0.75 5.26* 0.00 1.50 2.26 90.23 0.00
14 3.76 6.02 5.26* 9.02 5.26 70.68 0.00
15 2.26 0.75 4.51* 3.01 6.02 83.46 0.00
16 17.29 6.02* 6.02 9.77 1.50 59.40 0.00
17 3.01 3.76 5.26* 2.26 1.50 84.21 0.00
18 2.26 4.51 4.51 9.77 6.02* 72.93 0.00
19 3.01 3.01* 3.01 3.01 1.50 86.47 0.00
20 24.81 12.78* 9.02 2.26 6.02 45.11 0.00
21 1.50 3.01 2.26 5.26 3.01* 84.96 0.00
22 7.52 5.26 9.02 3.01 3.01* 72.18 0.00
23 1.50* 3.76 1.50 3.01 1.50 88.72 0.00
24 1.50 0.00 3.76* 0.00 1.50 93.23 0.00
25 5.26 1.50* 1.50 5.26 2.26 84.21 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column