American Mathematics Competitions
2008 AMC 10 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1190
Number of unofficial participants: 0
Average score of participants: 48.5
Average score for female students is: 46.1 ( 481 Students)
Average score for male students is: 51.3 ( 446 Students)
Average score for unspecified gender is 48.0 ( 263 Students)
Average score for grade 10 is: 50.3 ( 503 Students)
Average score for grade 9 is: 46.8 ( 462 Students)
Average score for grade 8 and below is: 51.8 ( 39 Students)
Average score with unknown grade: 46.8 ( 186 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 2
Number of schools returning results 36
Average school winning score 81.58
American Mathematics Competitions
2008 AMC 12 A Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1540
Number of unofficial participants: 0
Average score of participants: 60.8
Average score for female students is: 56.8 ( 588 Students)
Average score for male students is: 64.0 ( 716 Students)
Average score for unspecified gender is 61.1 ( 236 Students)
Average score for grade 12 is: 61.9 ( 561 Students)
Average score for grade 11 is: 60.2 ( 626 Students)
Average score for grade 10 is: 61.5 ( 157 Students)
Average score for grade 9 is: 57.0 ( 63 Students)
Average score for grade 8 and below is: 62.6 ( 8 Students)
Average score with unknown grade: 60.1 ( 125 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 33
Number of schools returning results 47
Average school winning score 90.96
Average school team score 240.41
American Mathematics Competitions
2008 AMC 10 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 114
Number of unofficial participants: 0
Average score of participants: 68.3
Average score for female students is: 65.7 ( 44 Students)
Average score for male students is: 68.3 ( 56 Students)
Average score for unspecified gender is 76.9 ( 14 Students)
Average score for grade 10 is: 73.7 ( 42 Students)
Average score for grade 9 is: 65.3 ( 55 Students)
Average score for grade 8 and below is: 64.7 ( 15 Students)
Average score with unknown grade: 65.3 ( 2 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 7
Average school winning score 111.21
American Mathematics Competitions
2008 AMC 12 B Results for Arizona
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 132
Number of unofficial participants: 0
Average score of participants: 74.3
Average score for female students is: 69.8 ( 42 Students)
Average score for male students is: 77.0 ( 76 Students)
Average score for unspecified gender is 73.8 ( 14 Students)
Average score for grade 12 is: 75.4 ( 50 Students)
Average score for grade 11 is: 73.8 ( 52 Students)
Average score for grade 10 is: 73.8 ( 5 Students)
Average score for grade 9 is: 78.3 ( 5 Students)
Average score for grade 8 and below is: 71.5 ( 16 Students)
Average score with unknown grade: 75.8 ( 4 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 13
Number of schools returning results 11
Average school winning score 105.14
Average school team score 251.32
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
334.5 1 1
322.5 1 2
316.5 1 3
309.0 1 4
307.5 2 5
306.0 1 7
304.5 1 8
303.0 1 9
298.5 1 10
297.0 1 11
295.5 1 12
292.5 1 13
289.5 1 14
288.0 1 15
286.5 2 16
285.0 1 18
283.5 1 1 19
279.0 1 21
273.0 1 22
270.0 1 23
267.0 1 24
265.5 1 25
261.0 1 26
258.0 1 27
252.0 1 28
250.5 1 29
246.0 2 30
241.5 1 32
240.0 2 33
238.5 1 35
237.0 1 36
235.5 1 37
229.5 1 38
226.5 1 39
225.0 2 40
223.5 1 42
219.0 1 43
216.0 1 44
210.0 1 45
207.0 1 46
202.5 1 47
199.5 2 48
190.5 1 50
183.0 1 51
181.5 1 52
178.5 1 53
115.5 1 54
103.5 1 55
102.0 1 56
99.0 1 57
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
135.0 1
124.5 1
123.0 2 1
121.5 1
120.0 1
118.5 1
115.5 1
114.0 1 1 1
111.0 1 1 1
109.5 2
108.0 2 1 4
105.0 3 3 1 2
103.5 6 2
102.0 6 1 2
100.5 2 2 1
99.0 6 2
97.5 2
96.0 3 3 3
94.5 13 5 2
93.0 13 3 1
91.5 10 1 2 1
90.0 15 2 4 1
88.5 23 4 3 1
87.0 11 3 1 2
85.5 15 5 1 1
84.0 19 5 2 3
82.5 26 3 3 4
81.0 23 5 7 1
79.5 28 2 7 2
78.0 27 5 8 4
76.5 46 2 10 3
75.0 31 8 16 1
73.5 24 7 7 3
72.0 39 3 7 2
70.5 40 2 11 2
69.0 34 9 16 6
67.5 43 3 17 6
66.0 55 6 23 6
64.5 53 4 15 1
63.0 47 6 26 2
61.5 40 4 18 4
60.0 58 3 30 4
58.5 46 3 36 4
57.0 60 2 26 4
55.5 61 2 31 3
54.0 69 2 40 3
52.5 59 1 39 2
51.0 48 1 39 2
49.5 45 2 45 3
48.0 56 3 53 6
46.5 32 2 52 2
45.0 44 1 50
43.5 42 1 51 2
42.0 50 66 1
40.5 29 1 54 1
39.0 21 41 4
37.5 23 51
36.0 17 48
34.5 11 1 35
33.0 11 27 1
31.5 8 28
30.0 14 35
28.5 2 17
27.0 4 20
25.5 3 11 1
24.0 8 20
22.5 1 5 1
21.0 2 3
19.5 3 5
18.0 1 4
16.5 1
15.0 3
12.0 3
American Mathematics Competitions
2008 AMC 10 A Results for Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
135.0 1 1
120.0 1 1
114.0 1
111.0 1
108.0 2 1 1 1 2
105.0 1
100.5 1 1
96.0 3 3
94.5 2
93.0 1 1 2
91.5 2 2
90.0 4 1 3
88.5 1 2 1 2
87.0 1 1
85.5 1 1
84.0 2 1 1
82.5 2 1 2
81.0 2 4 3 3 1
79.5 5 1 3 3 1
78.0 5 2 4 4
76.5 4 3 6 3 1
75.0 9 4 2 10 4
73.5 4 3 1 1 4 1
72.0 3 2 1 5 1
70.5 6 3 8 3
69.0 10 3 4 11 1
67.5 5 7 1 8 7 1
66.0 9 11 9 11 3
64.5 9 4 1 1 6 6 1
63.0 13 7 1 15 7 3
61.5 8 8 1 4 12 1
60.0 11 13 11 16 3
58.5 9 14 1 7 18 10
57.0 11 8 11 9 6
55.5 19 10 1 1 14 14 1
54.0 16 13 1 1 11 21 6
52.5 12 15 10 17 12
51.0 12 19 1 17 15 6
49.5 18 20 1 1 16 24 3
48.0 22 24 26 25 2
46.5 16 27 2 24 21 5
45.0 19 15 1 2 15 19 13
43.5 15 23 1 1 17 23 9
42.0 21 25 1 24 28 13
40.5 17 26 2 24 20 8
39.0 16 16 22 12 7
37.5 14 27 1 24 19 7
36.0 20 19 1 22 15 10
34.5 15 17 1 17 15 2
33.0 7 15 1 10 10 6
31.5 4 15 2 9 11 6
30.0 18 8 1 11 15 8
28.5 3 11 11 4 2
27.0 4 10 1 11 4 4
25.5 1 7 3 4 4
24.0 8 6 12 6 2
22.5 2 1 1 2 2
21.0 3 1 1 1
19.5 5 2 3
18.0 2 1 3 1
15.0 2 1 2
12.0 1 1 2
American Mathematics Competitions
2008 AMC 10 A Results for Arizona
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 2.44 1.18 9.33 76.97* 8.91 1.18 0.00
2 32.27* 19.66 29.16 1.76 0.76 16.39 0.00
3 56.05* 8.07 5.29 2.35 5.13 23.11 0.00
4 6.81 8.99 40.42* 12.18 8.57 23.03 0.00
5 7.56 25.80* 5.46 4.71 3.53 52.94 0.00
6 3.19 3.11 3.61 12.02* 46.72 31.34 0.00
7 51.76 4.29 5.04 3.53 6.05* 29.33 0.00
8 35.04* 9.50 4.87 19.16 4.20 27.23 0.00
9 5.71 19.16* 20.34 23.19 7.39 24.20 0.00
10 2.44 35.71 8.99 1.09 34.20* 17.56 0.00
11 6.89 6.30 10.00 48.49* 10.17 18.15 0.00
12 9.24 4.96 21.68* 10.25 4.96 48.91 0.00
13 16.81 28.66 9.16 20.67* 2.77 21.93 0.00
14 5.21 8.91 7.56 12.18* 6.30 59.75 0.08
15 3.11 4.12 30.08 17.98* 7.14 37.56 0.00
16 2.02 7.31* 5.21 16.30 7.98 61.18 0.00
17 7.39 5.71* 6.55 5.63 3.19 71.51 0.00
18 4.03 6.05* 6.22 5.04 4.45 74.20 0.00
19 4.29 6.13 6.64* 4.12 4.29 74.54 0.00
20 3.95 5.63 15.97 6.13* 2.27 66.05 0.00
21 9.50* 11.26 4.20 6.05 3.78 65.21 0.00
22 7.90 6.05 21.76 17.56* 8.57 38.15 0.00
23 9.58 4.71* 8.74 7.98 2.61 66.39 0.00
24 7.06 10.25 6.30 6.97* 7.31 62.02 0.08
25 2.52 7.56 6.47* 4.20 4.96 74.29 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 Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
124.5 1 1
123.0 2 1 1
118.5 1
114.0 1 1
111.0 1 1
108.0 2 1 1
105.0 3 1 1 1
103.5 3 3 3 3
102.0 3 1 2 2 1
100.5 2 2
99.0 5 3 3
97.5 2 1 1
96.0 3 1 2
94.5 10 1 4 7 1
93.0 7 3 2 4 6 1
91.5 8 1 3 7
90.0 12 3 1 2 5 7
88.5 12 6 2 6 11 4
87.0 5 4 1 2 5 3
85.5 11 3 1 2 5 6 1
84.0 7 7 1 13 2 3
82.5 13 8 1 8 14 3
81.0 10 7 1 1 3 5 9 4
79.5 15 6 5 9 12 2
78.0 16 10 1 3 10 12 1
76.5 26 11 1 4 19 17 5
75.0 12 13 1 2 14 12 2
73.5 13 9 1 3 9 10 1
72.0 23 14 2 10 16 11
70.5 22 13 3 3 17 15 2
69.0 18 9 1 1 4 15 9 4
67.5 19 12 2 6 15 14 6
66.0 27 18 4 7 19 22 3
64.5 22 23 1 3 22 20 7
63.0 29 15 1 6 29 10 1
61.5 15 18 3 5 19 9 4
60.0 32 18 1 2 25 23 7
58.5 23 16 3 7 20 14 2
57.0 28 27 1 6 24 25 4
55.5 31 21 5 4 32 14 6
54.0 26 30 1 2 3 27 28 8
52.5 25 28 1 7 25 25 1
51.0 18 25 3 4 19 18 4
49.5 14 26 1 1 18 21 4
48.0 28 21 3 9 21 20 3
46.5 12 15 1 3 15 11 2
45.0 17 21 3 5 19 14 3
43.5 11 26 1 2 21 16 2
42.0 17 25 4 4 15 23 4
40.5 10 12 1 5 10 10 3
39.0 7 11 3 1 9 7 1
37.5 10 5 1 3 7 8 4
36.0 9 6 4 2 3 7 1
34.5 1 7 7 1 3
33.0 2 8 2 5 3 1
31.5 1 4 1 3 3 1
30.0 4 9 2 2 6 4
28.5 1 1 1
27.0 3 1 3 1
25.5 2 2 1
24.0 2 6 2 3 2 1
22.5 1 1
21.0 1 1 1
19.5 2 2 1
18.0 1 1
16.5 1 1
American Mathematics Competitions
2008 AMC 12 A Results for Arizona
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 1.56 1.36 5.84 87.34* 3.38 0.52 0.00
2 91.10* 3.90 0.91 0.58 3.05 0.45 0.00
3 4.61 6.69 65.52* 8.64 4.29 10.26 0.00
4 7.66 45.00* 5.65 5.71 3.18 32.79 0.00
5 1.82 37.79* 14.81 26.10 7.99 11.43 0.06
6 51.30* 6.95 2.53 29.09 2.86 7.27 0.00
7 5.45 5.06 5.26 65.84* 8.12 10.26 0.00
8 4.74 8.57 52.66* 3.51 15.19 15.32 0.00
9 4.03 9.35 7.53 31.17* 5.19 42.73 0.00
10 13.51 30.00 10.58 32.99* 2.14 10.78 0.00
11 4.68 6.88 59.81* 6.23 4.68 17.73 0.00
12 12.86 22.73* 6.75 8.44 6.17 43.05 0.00
13 4.09 15.26* 7.66 21.10 8.90 42.92 0.06
14 9.48* 8.18 3.64 4.55 2.60 71.56 0.00
15 10.06 10.91 8.90 7.92* 9.94 52.27 0.00
16 2.86 8.05 5.78 6.95* 1.49 74.87 0.00
17 2.60 5.26 5.00 5.39* 6.30 75.45 0.00
18 2.86 3.77 6.95* 3.12 5.65 77.66 0.00
19 3.18 7.34 6.43* 4.42 1.56 77.08 0.00
20 2.86 4.42 4.55 2.92 3.70* 81.56 0.00
21 5.26 5.26 4.74 6.04* 2.40 76.30 0.00
22 3.83 6.36 5.91* 5.65 6.17 72.08 0.00
23 3.44 3.90 3.57 3.18* 1.95 83.96 0.00
24 4.81 14.68 8.77 3.90* 5.84 62.01 0.00
25 1.75 5.39 4.68 7.27* 3.38 77.53 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 Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 1 1
121.5 1 1
109.5 1 1 1
105.0 1 2
103.5 1 1
102.0 1 1 2
96.0 1 2 3
93.0 1 1
91.5 1
90.0 1 1
88.5 1 1
87.0 1 1 1 1
85.5 1 1
84.0 2 1 1 2
82.5 3 1 3 1
81.0 1 1
79.5 2 2
78.0 1 3 1 2 1
76.5 2 2 1
75.0 1 1
73.5 1 2 2 1
72.0 1 1 1
70.5 1 1 1 1
69.0 4 1 5 1
67.5 4 1 3 3
66.0 3 2 4 2
64.5 1 1
63.0 2 1 1
61.5 1 3 3 1
60.0 3 1 2 1
58.5 4 3 1
57.0 2 2 2 2
55.5 2 3
54.0 2 1 1 2
52.5 2 1 1
51.0 1 2
49.5 2 1 2 1
48.0 2 4 2 3 1
46.5 1 1 1
43.5 2 1 1
42.0 1 1
40.5 1 1
39.0 3 1 1 3
33.0 1 1
25.5 1 1
22.5 1 1
American Mathematics Competitions
2008 AMC 10 B Results for Arizona
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 2.63 1.75 1.75 21.05 70.18* 2.63 0.00
2 6.14 84.21* 7.02 0.00 0.88 1.75 0.00
3 27.19 1.75 3.51 35.96* 4.39 27.19 0.00
4 4.39 11.40 78.07* 2.63 0.00 3.51 0.00
5 64.04* 5.26 1.75 0.88 0.00 28.07 0.00
6 2.63 0.00 57.89* 8.77 7.02 23.68 0.00
7 3.51 13.16 63.16* 9.65 3.51 7.02 0.00
8 1.75 6.14 64.04* 5.26 7.89 14.91 0.00
9 27.19* 7.89 0.88 7.02 10.53 46.49 0.00
10 26.32* 10.53 1.75 4.39 4.39 52.63 0.00
11 1.75 14.04* 4.39 7.89 1.75 70.18 0.00
12 83.33* 7.02 0.88 0.00 3.51 5.26 0.00
13 14.91 14.04* 11.40 1.75 7.02 50.88 0.00
14 14.04 35.09* 1.75 7.89 2.63 38.60 0.00
15 15.79* 8.77 7.89 4.39 0.88 62.28 0.00
16 23.68* 18.42 3.51 7.02 3.51 43.86 0.00
17 26.32 11.40* 16.67 6.14 7.02 32.46 0.00
18 2.63 18.42* 7.89 4.39 5.26 61.40 0.00
19 0.00 0.88 4.39 7.02 7.02* 80.70 0.00
20 7.02 48.25* 2.63 2.63 1.75 37.72 0.00
21 6.14 7.02 5.26* 7.89 7.02 66.67 0.00
22 9.65 6.14 14.91* 9.65 4.39 55.26 0.00
23 13.16 8.77* 4.39 2.63 0.88 70.18 0.00
24 8.77 6.14 6.14* 5.26 7.02 66.67 0.00
25 23.68 10.53* 3.51 6.14 0.88 55.26 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 Arizona
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
123.0 1 1
115.5 1 1
114.0 1 1
111.0 1 1
108.0 1 1
105.0 3 1 2
102.0 1 1
100.5 2 1 1
99.0 1 1 2
94.5 4 1 1 3
91.5 1 1
90.0 2 1 1
88.5 2 1 1 1 1
87.0 1 2 1
85.5 3 1 1 2 1 1
84.0 4 1 1 1 3
82.5 2 3
81.0 3 1 3 2
79.5 1 1 2
78.0 5 1 4
76.5 1 1 1 1
75.0 4 4 1 4 3
73.5 3 4 1 2 2 2
72.0 3 1 2
70.5 2 1 1
69.0 5 3 1 4 3 1
67.5 1 1 2 1
66.0 5 1 1 1 4
64.5 2 2 3 1
63.0 2 3 1 3 2
61.5 3 1 1 1 2
60.0 2 1 1 1
58.5 1 2 3
57.0 1 1 1 1
55.5 2 1 1
54.0 1 1 2
52.5 1 1
51.0 1 1
49.5 2 1 1
48.0 1 2 1 1 1
46.5 2 1 1
45.0 1
43.5 1 1
40.5 1 1
34.5 1
American Mathematics Competitions
2008 AMC 12 B Results for Arizona
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 0.76 0.00 3.03 3.03 92.42* 0.76 0.00
2 4.55 83.33* 9.85 0.76 0.76 0.76 0.00
3 2.27 2.27 91.67* 1.52 0.00 2.27 0.00
4 0.76 0.00 1.52 86.36* 2.27 9.09 0.00
5 0.76 4.55 75.00* 4.55 3.79 11.36 0.00
6 90.91* 4.55 1.52 0.76 0.76 1.52 0.00
7 86.36* 0.76 0.76 0.00 2.27 9.85 0.00
8 1.52 1.52 73.48* 4.55 4.55 14.39 0.00
9 44.70* 1.52 3.79 3.79 4.55 41.67 0.00
10 2.27 46.21* 13.64 1.52 0.76 35.61 0.00
11 16.67* 8.33 2.27 7.58 25.00 40.15 0.00
12 11.36 33.33* 9.09 3.79 8.33 34.09 0.00
13 2.27 21.21* 0.00 6.82 0.76 68.94 0.00
14 4.55 6.06 36.36* 6.82 5.30 40.91 0.00
15 3.79 4.55 8.33* 6.82 6.06 70.45 0.00
16 18.18 15.15* 3.79 3.03 2.27 57.58 0.00
17 4.55 4.55 3.03* 3.03 3.03 81.82 0.00
18 3.03 3.03 3.79 3.79 13.64* 72.73 0.00
19 3.79 3.03* 6.06 3.03 2.27 81.82 0.00
20 23.48 15.91* 4.55 3.03 3.03 50.00 0.00
21 0.00 3.03 0.76 6.82 6.06* 83.33 0.00
22 6.82 4.55 6.06 3.03 3.79* 75.76 0.00
23 2.27* 2.27 3.03 3.79 5.30 83.33 0.00
24 0.76 3.79 0.76* 2.27 1.52 90.91 0.00
25 2.27 2.27* 3.03 2.27 2.27 87.88 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column