American Mathematics Competitions
2008 AMC 10 A Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1446
Number of unofficial participants: 0
Average score of participants: 48.9
Average score for female students is: 46.4 ( 604 Students)
Average score for male students is: 51.9 ( 646 Students)
Average score for unspecified gender is 46.9 ( 196 Students)
Average score for grade 10 is: 50.0 ( 614 Students)
Average score for grade 9 is: 47.9 ( 666 Students)
Average score for grade 8 and below is: 51.5 ( 97 Students)
Average score with unknown grade: 45.5 ( 69 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 6
Number of schools returning results 42
Average school winning score 78.14
American Mathematics Competitions
2008 AMC 12 A Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1547
Number of unofficial participants: 0
Average score of participants: 58.3
Average score for female students is: 54.8 ( 623 Students)
Average score for male students is: 60.9 ( 725 Students)
Average score for unspecified gender is 60.1 ( 199 Students)
Average score for grade 12 is: 61.3 ( 569 Students)
Average score for grade 11 is: 56.2 ( 704 Students)
Average score for grade 10 is: 56.8 ( 127 Students)
Average score for grade 9 is: 57.7 ( 59 Students)
Average score for grade 8 and below is: 75.0 ( 4 Students)
Average score with unknown grade: 57.5 ( 84 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 48
Number of schools returning results 50
Average school winning score 86.61
Average school team score 232.53
American Mathematics Competitions
2008 AMC 10 B Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 378
Number of unofficial participants: 0
Average score of participants: 61.3
Average score for female students is: 57.1 ( 145 Students)
Average score for male students is: 63.9 ( 194 Students)
Average score for unspecified gender is 63.6 ( 39 Students)
Average score for grade 10 is: 62.9 ( 163 Students)
Average score for grade 9 is: 59.1 ( 185 Students)
Average score for grade 8 and below is: 81.2 ( 10 Students)
Average score with unknown grade: 57.5 ( 20 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 5
Number of schools returning results 10
Average school winning score 106.35
American Mathematics Competitions
2008 AMC 12 B Results for Iowa
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 423
Number of unofficial participants: 0
Average score of participants: 66.9
Average score for female students is: 62.3 ( 132 Students)
Average score for male students is: 69.7 ( 227 Students)
Average score for unspecified gender is 66.2 ( 64 Students)
Average score for grade 12 is: 67.0 ( 153 Students)
Average score for grade 11 is: 64.9 ( 203 Students)
Average score for grade 10 is: 80.0 ( 23 Students)
Average score for grade 9 is: 74.7 ( 10 Students)
Average score for grade 8 and below is: 106.5 ( 1 Student)
Average score with unknown grade: 65.4 ( 33 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 25
Number of schools returning results 12
Average school winning score 97.75
Average school team score 275.13
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
381.0 1 1
372.0 1 2
345.0 1 3
342.0 1 4
337.5 1 5
315.0 1 6
313.5 1 7
307.5 1 8
304.5 1 9
291.0 1 1 10
288.0 1 12
276.0 3 1 13
274.5 2 17
273.0 1 19
265.5 1 20
264.0 1 21
258.0 1 22
255.0 1 23
253.5 1 24
252.0 1 25
250.5 1 26
247.5 1 1 27
244.5 1 29
243.0 1 30
241.5 2 31
234.0 2 33
232.5 1 35
231.0 1 36
225.0 1 37
223.5 2 38
219.0 1 40
216.0 1 1 41
211.5 3 43
210.0 1 46
205.5 1 47
202.5 1 48
190.5 1 49
189.0 2 50
181.5 1 52
178.5 1 53
175.5 1 54
174.0 1 55
172.5 1 56
165.0 1 57
159.0 1 58
156.0 1 59
154.5 1 60
141.0 1 61
117.0 1 62
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
144.0 1
138.0 1
136.5 1 1
135.0 2
132.0 1
127.5 1 1
124.5 1 1
121.5 1 1
120.0 1 1
118.5 1 2
117.0 4 2 1
115.5 1
114.0 2 1 2
112.5 2 1 1
111.0 1 1
109.5 3 2 1
108.0 3 4 1
106.5 2 3 2 1
105.0 1 1 1
103.5 7 1 1 1
102.0 3 1
100.5 6 2 2
99.0 5 1 3
97.5 7 1
96.0 5 3 2 3
94.5 8 11 3 2
93.0 9 1 1 2
91.5 6 1 5
90.0 4 6 5 4
88.5 9 7 2
87.0 5 8 2 2
85.5 7 5 3 5
84.0 11 6 6 6
82.5 20 6 6 2
81.0 11 11 8 3
79.5 17 6 7 7
78.0 16 5 8 4
76.5 23 13 10 6
75.0 25 9 11 13
73.5 31 4 9 13
72.0 21 17 18 14
70.5 31 15 14 10
69.0 41 12 12 11
67.5 31 9 22 11
66.0 43 26 32 15
64.5 54 14 26 9
63.0 44 20 23 14
61.5 60 10 23 13
60.0 61 19 32 21
58.5 72 14 31 8
57.0 61 13 46 11
55.5 55 12 32 12
54.0 88 19 55 19
52.5 63 19 51 16
51.0 65 13 54 10
49.5 63 13 58 12
48.0 71 6 81 12
46.5 45 8 61 15
45.0 48 7 73 9
43.5 39 6 62 4
42.0 56 5 68 15
40.5 30 5 44 5
39.0 26 1 46 4
37.5 26 3 45 5
36.0 26 3 60 9
34.5 14 1 39 2
33.0 14 2 49 3
31.5 8 1 33 1
30.0 8 2 34 2
28.5 5 1 21
27.0 6 24
25.5 6 9 1
24.0 7 20 3
22.5 2 5
21.0 1 7
19.5 7
18.0 1 11
16.5 3
13.5 1
12.0 5
10.5 1
American Mathematics Competitions
2008 AMC 10 A Results for Iowa
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
135.0 1 1 1 1
127.5 1 1
124.5 1 1
121.5 1
117.0 1 1
114.0 2 1 1
108.0 1 1
106.5 2 1 1
105.0 1 1
103.5 1 1
102.0 1 1
100.5 2 1 1
99.0 2 1 2
97.5 1 1
96.0 2 1 1
94.5 2 1 2
93.0 1 1
91.5 4 1 2 2 1
90.0 3 2 1 1 3
88.5 1 1 2
87.0 2 1 1
85.5 2 1 3
84.0 2 4 2 4
82.5 4 2 3 3
81.0 5 3 1 4 3
79.5 3 2 3 3 1
78.0 4 2 5 3
76.5 4 4 2 4 4
75.0 8 3 4 7
73.5 7 1 1 2 5 1
72.0 9 7 1 2 4 9 2
70.5 5 6 1 1 4 8
69.0 7 2 1 5 6
67.5 11 9 2 9 10 1
66.0 16 15 1 2 14 15
64.5 14 10 1 16 9
63.0 14 6 9 13 1
61.5 11 7 1 3 9 9 1
60.0 13 15 1 15 15 1
58.5 16 13 12 18 1
57.0 24 14 1 5 17 23
55.5 19 11 2 11 19
54.0 38 13 3 30 18 4
52.5 26 21 2 23 23 3
51.0 32 18 5 24 22 3
49.5 23 24 3 28 26 1
48.0 29 35 1 3 46 27 4
46.5 27 25 3 33 22 3
45.0 32 31 4 31 37 1
43.5 27 24 1 37 21 3
42.0 32 25 5 36 23 4
40.5 9 25 21 19 4
39.0 14 30 4 14 25 3
37.5 16 25 1 5 16 22 1
36.0 29 22 1 2 25 26 6
34.5 13 19 2 3 18 16
33.0 14 25 2 25 17 5
31.5 9 17 4 18 7 4
30.0 14 15 1 15 17 1
28.5 7 12 1 10 9 1
27.0 3 18 2 9 11 2
25.5 3 5 1 3 5
24.0 8 9 14 4 2
22.5 2 2 3 2
21.0 3 3 1 3 2 1
19.5 3 3 5 1 1
18.0 2 9 7 4
16.5 2 1 1 1
13.5 1 1
12.0 2 2 1 2 2
10.5 1 1
American Mathematics Competitions
2008 AMC 10 A Results for Iowa
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 2.07 1.24 9.20 79.94* 6.22 1.24 0.07
2 32.57* 22.06 28.77 2.14 1.11 13.35 0.00
3 51.31* 4.50 5.60 2.56 5.60 30.36 0.07
4 7.12 9.82 39.28* 10.86 8.30 24.62 0.00
5 7.75 24.55* 5.33 3.60 4.22 54.56 0.00
6 2.63 2.77 3.87 13.49* 49.86 27.32 0.07
7 48.06 3.39 5.81 2.42 6.15* 34.09 0.07
8 37.07* 8.37 3.60 23.17 2.97 24.83 0.00
9 3.18 20.82* 19.50 21.72 8.09 26.69 0.00
10 1.87 34.02 8.02 0.97 36.38* 18.74 0.00
11 4.56 6.50 8.71 52.84* 10.72 16.67 0.00
12 10.72 6.57 19.78* 9.27 5.12 48.55 0.00
13 15.15 28.56 8.44 19.36* 3.73 24.76 0.00
14 6.36 8.09 6.78 11.41* 4.36 62.93 0.07
15 2.90 3.18 29.05 17.91* 8.16 38.59 0.21
16 3.32 6.64* 3.67 13.49 7.88 65.01 0.00
17 6.85 6.02* 6.64 4.36 3.60 72.54 0.00
18 4.08 5.81* 5.46 5.46 3.53 75.59 0.07
19 3.73 6.09 5.33* 4.43 4.22 76.21 0.00
20 4.15 5.67 16.04 6.09* 2.90 65.15 0.00
21 9.20* 13.62 5.67 4.56 2.97 63.97 0.00
22 7.95 7.12 21.92 18.53* 7.26 37.07 0.14
23 9.96 5.05* 6.09 5.46 2.07 71.37 0.00
24 6.78 8.23 7.12 5.53* 7.88 64.45 0.00
25 2.49 6.85 5.46* 3.67 5.67 75.86 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 Iowa
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
136.5 1 1
127.5 1
124.5 1 1
120.0 1 1
118.5 1 1
117.0 4 1 3
115.5 1 1
114.0 2 1 1
112.5 2 1 1
109.5 2 1 1 2
108.0 1 2 1 2
106.5 2 1 1
105.0 1 1
103.5 5 1 1 4 2
100.5 4 1 2 3
99.0 3 1 1 1 3
97.5 4 1 2 5
96.0 5 3 2
94.5 6 1 1 1 5 1
93.0 5 3 8 1
91.5 6 1 2 3
90.0 2 2 1 3
88.5 5 3 1 2 6
87.0 2 1 2 2 1
85.5 5 1 1 6
84.0 8 3 1 4 2 4
82.5 11 3 1 10 7 2
81.0 3 4 1 2 6 2
79.5 5 6 1 12 2 2
78.0 10 3 8 7 1
76.5 13 6 1 9 12 1
75.0 16 5 1 9 14 1
73.5 18 12 1 1 10 19
72.0 13 7 1 4 15 1
70.5 13 11 2 2 13 11 3
69.0 21 13 5 20 13 3
67.5 17 9 1 1 15 11 3
66.0 22 18 1 1 24 15 2
64.5 26 21 3 5 21 24 1
63.0 23 15 1 1 2 24 14 2
61.5 29 24 1 4 4 19 29 3
60.0 29 25 1 3 2 23 27 5
58.5 30 32 4 7 29 27 5
57.0 21 34 1 3 23 30 4
55.5 25 22 4 33 15 3
54.0 46 32 3 9 44 27 5
52.5 27 27 1 2 35 22 3
51.0 25 28 4 5 28 24 4
49.5 30 30 3 9 31 17 3
48.0 31 29 3 6 38 20 4
46.5 17 21 2 3 22 16 2
45.0 23 21 2 7 25 13 1
43.5 15 23 1 2 18 17 1
42.0 20 27 1 4 32 15 4
40.5 14 14 2 4 14 10
39.0 10 16 2 3 10 10 1
37.5 11 10 2 5 10 6 3
36.0 8 16 5 13 5 3
34.5 4 8 1 10 2 1
33.0 3 9 1 3 7 3
31.5 3 5 8
30.0 4 1 1 4 3
28.5 2 2 3 2
27.0 2 4 5 1
25.5 3 3 2 1 3
24.0 2 4 6 1
22.5 1 1 1 1
21.0 1 1
18.0 1 1
American Mathematics Competitions
2008 AMC 12 A Results for Iowa
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 1.36 1.03 6.72 86.43* 3.56 0.90 0.00
2 86.55* 4.33 3.36 0.78 3.56 1.42 0.00
3 5.30 6.21 58.44* 7.50 4.46 18.10 0.00
4 7.24 33.16* 4.33 4.72 2.84 47.64 0.06
5 1.94 31.87* 13.06 26.05 7.11 19.91 0.06
6 49.39* 6.40 3.36 25.99 2.20 12.61 0.06
7 5.04 4.65 6.98 64.45* 6.85 12.02 0.00
8 3.75 7.50 43.70* 4.40 15.58 24.95 0.13
9 4.65 7.69 5.56 23.72* 3.94 54.36 0.06
10 10.92 31.61 10.41 27.60* 1.49 17.97 0.00
11 5.30 6.01 54.62* 5.69 4.40 23.98 0.00
12 7.43 14.41* 6.01 5.49 4.59 62.06 0.00
13 3.30 12.86* 5.95 16.35 5.82 55.66 0.06
14 8.08* 4.65 2.59 3.17 2.26 79.25 0.00
15 9.37 8.08 8.27 6.27* 7.50 60.50 0.00
16 4.20 5.62 4.59 5.62* 1.23 78.73 0.00
17 0.97 3.94 3.36 4.85* 3.81 83.06 0.00
18 1.87 3.30 4.72* 2.13 4.20 83.78 0.00
19 1.75 4.59 5.43* 3.62 1.29 83.32 0.00
20 2.46 2.84 2.52 2.13 2.78* 87.27 0.00
21 4.78 4.20 3.81 6.21* 3.04 77.96 0.00
22 2.84 6.98 4.20* 5.30 3.49 77.18 0.00
23 1.23 2.39 2.39 3.04* 1.81 89.14 0.00
24 3.49 13.12 7.89 2.78* 4.65 68.07 0.00
25 1.62 3.10 3.43 4.59* 2.20 85.07 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 Iowa
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
144.0 1 1
136.5 1 1
132.0 1 1
121.5 1 1
120.0 1 1
112.5 1
111.0 1 1
109.5 1 1
106.5 1
103.5 1 1
96.0 3 1 2
94.5 1 1 1
93.0 2 2
90.0 3 1 3
87.0 2 1 1
85.5 4 1 1 1 3
84.0 4 1 1 1 3 1
82.5 2 1 1
81.0 3 1 2
79.5 2 3 3 4
78.0 2 2 1 3
76.5 4 2 1 5
75.0 7 3 1 3 8 1
73.5 7 5 6 7
72.0 8 5 8 5 1
70.5 2 5 1 4 4 1
69.0 9 2 3 8
67.5 5 5 7 3 1
66.0 10 5 9 6
64.5 6 3 7 2
63.0 6 7 7 6 1
61.5 4 8 9 4
60.0 11 6 12 8 1
58.5 4 4 4 4
57.0 6 4 4 7
55.5 3 7 6 5 1
54.0 11 6 1 12 5 1
52.5 7 5 9 4 3
51.0 6 4 4 5 1
49.5 7 5 6 6
48.0 4 5 5 5 2
46.5 6 9 1 8 6
45.0 6 2 4 4 1
43.5 3 1 2 2
42.0 8 7 12 3
40.5 2 1 2 2 1
39.0 1 3 2 2
37.5 5 3 2
36.0 4 5 6 3
34.5 1 1 1
33.0 3 2 1
31.5 1 1
30.0 1 1 1
25.5 1 1
24.0 1 2 2 1
American Mathematics Competitions
2008 AMC 10 B Results for Iowa
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 2.12 0.00 3.17 11.11 82.28* 1.32 0.00
2 5.03 80.16* 7.41 1.85 1.32 4.23 0.00
3 26.46 5.03 6.35 21.43* 5.29 35.45 0.00
4 11.64 12.43 64.55* 2.12 1.32 7.94 0.00
5 36.24* 10.05 2.91 2.38 5.03 43.39 0.00
6 7.94 8.73 34.39* 12.70 7.67 28.57 0.00
7 6.35 7.67 63.49* 7.94 3.17 11.38 0.00
8 1.59 8.99 57.14* 9.79 7.14 15.08 0.26
9 14.29* 3.70 6.61 8.20 10.32 56.88 0.00
10 12.43* 9.52 4.23 7.41 5.82 60.32 0.26
11 0.79 10.32* 5.03 11.11 7.14 65.61 0.00
12 80.16* 5.29 2.91 1.06 3.70 6.88 0.00
13 25.40 8.47* 8.47 3.44 5.03 49.21 0.00
14 10.05 27.78* 4.76 7.94 2.91 46.56 0.00
15 10.58* 5.56 8.99 7.14 4.76 62.96 0.00
16 35.98* 19.84 4.76 3.17 5.29 30.95 0.00
17 12.70 8.99* 24.07 14.02 8.99 31.22 0.00
18 7.41 19.05* 12.17 5.56 3.70 51.85 0.26
19 4.23 2.12 10.32 9.26 5.82* 68.25 0.00
20 6.61 39.42* 10.85 5.29 3.17 34.66 0.00
21 10.85 10.32 8.47* 5.56 1.32 63.23 0.26
22 13.23 8.20 24.07* 14.55 6.08 33.86 0.00
23 14.29 7.67* 4.23 6.08 4.50 63.23 0.00
24 7.94 8.47 10.05* 11.38 8.99 53.17 0.00
25 20.90 15.08* 10.58 5.29 2.91 44.97 0.26
(*) 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 Iowa
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
138.0 1 1
118.5 1 1 2
117.0 1 1 1
114.0 1 1
112.5 1 1
111.0 1 1
109.5 2 1 1
108.0 3 1 1 1 1 1
106.5 2 1 2
105.0 1 1
103.5 1 1
102.0 3 1 1 1
100.5 2 1 1
99.0 1 1
96.0 3 1 2
94.5 4 4 3 3 4 1
93.0 1 1
91.5 1 1
90.0 5 1 1 2 3
88.5 5 1 2 2 3
87.0 6 1 1 3 3 1
85.5 2 1 4 1
84.0 5 3 2 1
82.5 5 1 4 2
81.0 5 4 1 5 4 1
79.5 5 1 1 4 1
78.0 4 1 1 4
76.5 5 2 1 2 3 5 2
75.0 4 4 1 5 3
73.5 4 2 2
72.0 9 6 1 8 6 2
70.5 5 10 1 1 8 5
69.0 7 4 4 6 2
67.5 5 3 1 1 6 1
66.0 13 6 11 12 3
64.5 6 3 6 6 2
63.0 11 7 1 10 8 1
61.5 6 3 1 7 1 1
60.0 11 5 13 4 2
58.5 6 4 6 6 2
57.0 6 4 1 1 6 4 1
55.5 9 3 7 5
54.0 7 10 2 13 3 1
52.5 8 9 2 11 4 2
51.0 6 5 9 3 1
49.5 6 4 6 6 1
48.0 3 1 4 1 1
46.5 5 2 1 4 3
45.0 3 3 1 5 1
43.5 5 1 4 1
42.0 2 3 2 3
40.5 2 3 4 1
39.0 1 1
37.5 2 3
36.0 2 1 2 1
34.5 1 1
33.0 1 1 1
31.5 1 1
30.0 2 1 1
28.5 1 1
American Mathematics Competitions
2008 AMC 12 B Results for Iowa
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 1.18 0.95 0.95 11.82 84.63* 0.47 0.00
2 4.26 81.56* 7.09 2.36 1.42 3.31 0.00
3 4.49 8.27 80.14* 1.89 0.71 4.49 0.00
4 1.65 1.89 2.84 75.65* 3.07 14.89 0.00
5 2.60 4.73 73.05* 4.26 4.73 10.64 0.00
6 86.29* 4.02 3.07 1.42 1.65 3.55 0.00
7 62.41* 3.55 3.07 0.24 3.31 27.42 0.00
8 4.26 2.60 54.61* 10.87 4.49 23.17 0.00
9 28.61* 3.78 5.20 2.60 2.84 56.97 0.00
10 3.31 34.04* 8.51 4.73 3.07 46.34 0.00
11 10.87* 5.67 4.02 8.51 26.00 44.92 0.00
12 19.15 21.28* 7.80 3.31 4.73 43.74 0.00
13 2.13 16.78* 3.31 5.20 2.13 70.45 0.00
14 3.07 4.49 26.95* 6.15 5.67 53.66 0.00
15 1.89 6.38 10.40* 5.91 4.02 71.39 0.00
16 21.51 13.95* 6.86 4.73 1.42 51.54 0.00
17 3.31 3.31 5.91* 4.73 2.60 80.14 0.00
18 2.84 4.02 4.73 7.80 6.86* 73.76 0.00
19 4.02 5.20* 4.73 3.78 2.13 80.14 0.00
20 29.79 13.48* 6.86 3.78 3.31 42.79 0.00
21 2.13 1.18 2.60 4.96 1.89* 87.23 0.00
22 5.67 6.38 6.38 5.67 6.62* 69.27 0.00
23 3.55* 4.49 3.78 4.02 0.95 83.22 0.00
24 2.36 3.55 1.89* 2.36 1.42 88.42 0.00
25 0.95 3.07* 4.73 3.07 1.42 86.76 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column