American Mathematics Competitions
2008 AMC 10 A Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2953
Number of unofficial participants: 46
Average score of participants: 56.8
Average score for female students is: 52.5 ( 1097 Students)
Average score for male students is: 59.9 ( 1392 Students)
Average score for unspecified gender is 57.6 ( 464 Students)
Average score for grade 10 is: 58.1 ( 1452 Students)
Average score for grade 9 is: 53.6 ( 1182 Students)
Average score for grade 8 and below is: 69.8 ( 185 Students)
Average score with unknown grade: 53.0 ( 134 Students)
AIME qualifying score = 117.0 or better
Number of AIME qualifers 29
Number of schools returning results 85
Average school winning score 95.91
American Mathematics Competitions
2008 AMC 12 A Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2835
Number of unofficial participants: 46
Average score of participants: 67.8
Average score for female students is: 62.6 ( 1022 Students)
Average score for male students is: 71.0 ( 1365 Students)
Average score for unspecified gender is 69.8 ( 448 Students)
Average score for grade 13 is: 73.1 ( 12 Students)
Average score for grade 12 is: 68.8 ( 1189 Students)
Average score for grade 11 is: 66.3 ( 1378 Students)
Average score for grade 10 is: 69.3 ( 133 Students)
Average score for grade 9 is: 76.3 ( 56 Students)
Average score for grade 8 and below is: 95.0 ( 3 Students)
Average score with unknown grade: 65.2 ( 64 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 225
Number of schools returning results 93
Average school winning score 104.18
Average school team score 289.32
American Mathematics Competitions
2008 AMC 10 B Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 821
Number of unofficial participants: 4
Average score of participants: 67.1
Average score for female students is: 60.0 ( 365 Students)
Average score for male students is: 73.9 ( 356 Students)
Average score for unspecified gender is 68.5 ( 100 Students)
Average score for grade 10 is: 66.2 ( 441 Students)
Average score for grade 9 is: 65.6 ( 298 Students)
Average score for grade 8 and below is: 86.3 ( 46 Students)
Average score with unknown grade: 65.5 ( 36 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 33
Number of schools returning results 36
Average school winning score 109.21
American Mathematics Competitions
2008 AMC 12 B Results for Massachusetts
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 708
Number of unofficial participants: 0
Average score of participants: 72.8
Average score for female students is: 66.4 ( 271 Students)
Average score for male students is: 78.0 ( 332 Students)
Average score for unspecified gender is 72.9 ( 105 Students)
Average score for grade 13 is: 108.0 ( 1 Student)
Average score for grade 12 is: 71.9 ( 274 Students)
Average score for grade 11 is: 72.0 ( 346 Students)
Average score for grade 10 is: 84.0 ( 32 Students)
Average score for grade 9 is: 85.7 ( 15 Students)
Average score for grade 8 and below is: 76.1 ( 4 Students)
Average score with unknown grade: 70.7 ( 36 Students)
AIME qualifying score = 97.5 or better
Number of AIME qualifers 85
Number of schools returning results 39
Average school winning score 104.27
Average school team score 263.50
2008 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
420.0 1 1
408.0 1 2
396.0 1 3
390.0 1 4
382.5 1 5
381.0 1 6
378.0 1 7
373.5 1 8
372.0 2 9
366.0 1 11
358.5 1 12
352.5 1 13
346.5 1 14
342.0 1 15
340.5 1 16
337.5 1 17
336.0 3 1 18
334.5 1 22
331.5 2 23
328.5 1 1 25
327.0 1 2 27
325.5 2 30
324.0 2 32
315.0 1 34
313.5 1 35
309.0 2 36
307.5 3 1 38
306.0 2 42
303.0 1 1 44
301.5 1 1 46
300.0 3 1 48
294.0 2 1 52
292.5 2 1 55
291.0 1 1 58
289.5 3 1 60
288.0 3 1 64
286.5 1 1 68
285.0 1 70
283.5 2 1 71
282.0 1 74
280.5 1 75
276.0 2 76
274.5 2 78
271.5 2 1 80
270.0 1 83
268.5 3 1 84
267.0 1 88
265.5 2 89
262.5 1 1 91
261.0 3 1 93
259.5 3 97
253.5 1 100
250.5 1 1 101
247.5 1 103
244.5 1 104
243.0 1 105
241.5 1 106
238.5 1 1 107
237.0 2 2 109
235.5 1 113
234.0 1 114
231.0 1 115
223.5 1 116
213.0 1 117
208.5 1 118
202.5 1 119
199.5 1 1 120
198.0 1 122
196.5 1 123
190.5 1 124
187.5 2 125
168.0 1 127
160.5 1 128
121.5 1 129
93.0 1 130
84.0 1 131
73.5 1 132
2008 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
145.5 1
144.0 1 1
141.0 3 1
139.5 1 1
138.0 1 2 2
136.5 3 1
135.0 1 2 1
133.5 1 1
132.0 3 2 2 1
130.5 6 3
129.0 1
127.5 1 2
126.0 3 1 10
124.5 7 2 4
123.0 3 1 5 2
121.5 3 3 2
120.0 4 2 1 8
118.5 6 5 2
117.0 5 3 2
115.5 3 3 2 2
114.0 9 6 5 4
112.5 12 2 5 3
111.0 9 1 16 6
109.5 12 2 3 8
108.0 15 3 8 4
106.5 9 3 8 3
105.0 13 11 10 6
103.5 16 8 11 7
102.0 12 3 11 4
100.5 26 11 11 2
99.0 19 7 17 6
97.5 22 7 10 6
96.0 23 6 22 12
94.5 55 15 13 6
93.0 34 9 19 5
91.5 29 8 23 13
90.0 36 9 19 8
88.5 43 12 18 15
87.0 31 8 22 9
85.5 41 15 20 6
84.0 58 16 37 11
82.5 59 19 20 8
81.0 65 19 22 12
79.5 52 10 25 15
78.0 65 21 34 20
76.5 74 30 30 13
75.0 72 28 39 15
73.5 70 22 41 19
72.0 84 38 56 18
70.5 84 18 54 21
69.0 74 19 39 25
67.5 86 27 55 14
66.0 94 29 79 26
64.5 85 16 53 24
63.0 70 20 64 17
61.5 96 19 71 24
60.0 89 21 98 26
58.5 82 19 76 23
57.0 83 12 88 24
55.5 86 16 77 24
54.0 109 21 130 36
52.5 85 9 95 21
51.0 61 7 93 21
49.5 65 10 105 23
48.0 87 8 140 23
46.5 56 10 93 14
45.0 46 12 71 10
43.5 43 13 106 16
42.0 55 6 115 19
40.5 32 1 78 6
39.0 24 4 81 7
37.5 22 5 86 14
36.0 39 5 79 12
34.5 18 2 53 5
33.0 12 2 46 5
31.5 6 44 4
30.0 12 1 43 13
28.5 3 1 20 1
27.0 29 3
25.5 3 21 4
24.0 7 30 6
22.5 1 3 1
21.0 1 6 1
19.5 3 11
18.0 3 11 3
15.0 1 1
12.0 1 1 1 2
10.5 1
9.0 1
6.0 1
American Mathematics Competitions
2008 AMC 10 A Results for Massachusetts
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
145.5 1 1
144.0 1 1
138.0 2 1 1
136.5 1 1
135.0 1 1
132.0 2 2
130.5 1 1 2
129.0 1 1
127.5 1 1
126.0 1
123.0 3 5
121.5 1 1 1
120.0 1 1
118.5 2 2 2 1 1 1
117.0 1 1 1
115.5 2 1 1
114.0 3 1 1 4
112.5 3 2 3 1 1
111.0 10 3 3 1 4 8
109.5 2 1 2
108.0 5 3 2 1 4 1
106.5 5 1 3 5
105.0 7 1 1 2 6
103.5 9 1 1 4 5
102.0 4 4 3 8
100.5 7 3 1 1 2 7
99.0 12 4 1 7 8 1
97.5 7 2 2 2 4 2
96.0 12 7 1 1 6 14
94.5 9 1 1 5 7
93.0 14 3 2 1 2 14
91.5 16 6 1 4 7 11
90.0 14 3 4 1 5 7 2
88.5 11 2 1 3 13 1
87.0 12 6 1 8 13
85.5 10 9 2 6 11 1
84.0 21 11 1 3 16 16 1
82.5 13 3 1 1 3 7 8
81.0 15 5 1 4 5 11 1
79.5 12 10 1 9 14 1
78.0 20 7 1 1 15 15 2
76.5 14 12 2 1 2 8 15 2
75.0 21 10 1 15 22 1
73.5 19 13 1 2 5 13 19 1
72.0 30 18 2 4 18 31 1
70.5 27 17 1 3 20 27 3
69.0 21 9 19 19 1
67.5 35 16 1 1 23 28 2
66.0 41 26 1 2 33 38 5
64.5 27 17 1 18 30 4
63.0 36 20 1 18 41 4
61.5 36 19 2 1 1 22 40 5
60.0 39 40 3 5 39 47 4
58.5 34 32 1 2 2 24 42 5
57.0 44 30 34 50 4
55.5 33 36 2 2 1 24 45 3
54.0 49 63 1 3 59 60 7
52.5 40 30 2 1 45 43 4
51.0 44 38 2 39 49 3
49.5 48 43 3 3 42 51 6
48.0 63 55 3 10 60 62 5
46.5 41 36 1 3 41 46 2
45.0 30 28 3 36 30 2
43.5 46 39 1 41 55 9
42.0 60 43 1 7 54 49 4
40.5 28 34 3 39 29 7
39.0 34 40 36 43 2
37.5 38 30 1 35 42 8
36.0 24 36 1 2 33 34 9
34.5 19 25 1 1 25 25 1
33.0 13 26 2 24 18 2
31.5 17 23 1 27 15 1
30.0 16 25 3 22 18
28.5 5 14 8 12
27.0 12 14 1 16 10 2
25.5 11 8 10 11
24.0 14 14 1 2 12 13 2
22.5 3 2 1
21.0 2 2 4 1 1
19.5 5 4 4 6 1
18.0 4 5 1 6 4
15.0 1 1
12.0 1 1
10.5 1 1
9.0 1 1
American Mathematics Competitions
2008 AMC 10 A Results for Massachusetts
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 2.10 1.02 7.18 85.44* 3.59 0.68 0.00
2 46.26* 20.12 24.86 1.63 1.05 6.10 0.00
3 72.54* 3.66 3.49 1.15 3.83 15.31 0.03
4 4.57 7.48 54.83* 9.04 5.11 18.93 0.03
5 6.26 36.98* 4.27 4.20 4.61 43.65 0.03
6 3.45 3.62 3.76 20.01* 46.33 22.79 0.03
7 48.36 3.12 6.20 1.96 14.09* 26.28 0.00
8 43.85* 6.84 3.35 26.21 3.08 16.63 0.03
9 2.64 29.80* 14.36 30.48 7.82 14.76 0.14
10 1.73 37.11 8.40 0.78 42.74* 9.24 0.00
11 6.64 4.00 6.91 60.58* 9.28 12.60 0.00
12 11.58 4.27 34.10* 10.94 6.30 32.71 0.10
13 13.75 28.01 10.43 27.06* 2.03 18.69 0.03
14 4.91 8.40 6.50 20.89* 4.37 54.89 0.03
15 3.56 3.79 26.31 21.64* 6.67 38.00 0.03
16 3.08 11.38* 6.54 16.29 8.60 54.05 0.07
17 7.92 9.92* 6.64 5.55 3.56 66.41 0.00
18 3.89 6.50* 6.20 5.25 3.89 74.26 0.00
19 4.84 6.57 10.43* 4.37 4.81 68.95 0.03
20 3.52 6.10 15.37 6.13* 3.08 65.70 0.10
21 10.87* 22.05 5.45 5.18 3.12 53.23 0.10
22 6.98 4.74 23.81 23.94* 7.62 32.88 0.03
23 9.28 7.35* 8.26 5.96 1.86 67.25 0.03
24 8.30 7.89 7.48 6.74* 9.62 59.94 0.03
25 2.88 7.52 5.28* 4.91 5.25 74.16 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 Massachusetts
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
141.0 3 1 2
138.0 1 1
136.5 3 1 1 1
135.0 1 1
132.0 2 1 1 2
130.5 5 2 1 2 1
126.0 3 1 2
124.5 7 1 2 4
123.0 2 1 1 2
121.5 2 1 1 1 1
120.0 1 2 2
118.5 4 1 1 1 4
117.0 3 3 1 1
115.5 3 1 1 1
114.0 6 3 1 2 6
112.5 9 1 1 1 3 7
111.0 8 1 3 2 1 3
109.5 8 3 2 5 5
108.0 11 2 3 3 9
106.5 7 1 1 2 4 2
105.0 7 1 2 1 5 5
103.5 10 3 1 6 9
102.0 8 2 6 4 1 1
100.5 9 12 1 2 10 12 1
99.0 13 4 2 6 11
97.5 13 4 3 13 6
96.0 19 2 1 15 7
94.5 39 9 2 1 32 19 1
93.0 19 6 1 15 17 1
91.5 16 8 2 11 16
90.0 24 9 1 5 15 15
88.5 26 12 25 18
87.0 15 9 16 14 1
85.5 19 17 1 2 16 21 1
84.0 30 16 1 26 31
82.5 26 15 23 33 1 2
81.0 35 12 2 2 27 32 2
79.5 29 15 2 5 23 20 2
78.0 38 20 1 3 38 22 1
76.5 36 26 1 3 34 33 3
75.0 34 26 5 36 28 3
73.5 36 19 1 1 36 28 2 2
72.0 37 29 2 5 37 39 1
70.5 38 30 3 1 39 41
69.0 28 28 2 4 34 33 1
67.5 36 30 3 5 42 32 4
66.0 47 31 1 1 3 43 41 5
64.5 36 42 2 3 44 34 2
63.0 27 28 3 1 35 26 5
61.5 43 38 3 2 52 39
60.0 47 32 3 3 45 35 1 2
58.5 40 28 1 3 36 40 2
57.0 42 30 1 44 36 2
55.5 33 41 43 40 1 2
54.0 53 47 1 9 55 42 2
52.5 30 40 1 2 50 31 1
51.0 26 27 1 4 33 22 1
49.5 26 32 1 39 21 1 3
48.0 39 34 1 2 47 35 1 1
46.5 17 31 1 3 32 19 1
45.0 18 23 1 1 22 22
43.5 10 28 1 1 28 13
42.0 25 22 1 4 23 24 3
40.5 10 16 1 5 17 8 1
39.0 11 11 1 14 9
37.5 6 15 3 10 8 1
36.0 22 14 4 19 14 2
34.5 6 10 1 1 6 10
33.0 3 7 3 3 6
31.5 1 5 3 3
30.0 9 3 9 3
28.5 1 2 1 1 1
25.5 2 1 1 2
24.0 4 2 1 1 3 1 1
22.5 1 1
19.5 1 2 1 2
12.0 1 1
American Mathematics Competitions
2008 AMC 12 A Results for Massachusetts
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 1.27 0.60 5.36 90.09* 2.22 0.46 0.00
2 92.56* 3.99 0.56 0.21 2.26 0.42 0.00
3 2.72 5.19 74.81* 6.98 2.12 8.18 0.00
4 5.75 52.80* 4.16 6.03 3.00 28.25 0.00
5 0.88 48.75* 10.23 26.70 6.77 6.67 0.00
6 55.84* 4.34 1.52 29.84 1.98 6.49 0.00
7 4.30 2.93 4.83 72.98* 6.74 8.22 0.00
8 4.76 4.94 66.21* 2.96 10.09 11.01 0.04
9 3.21 7.69 5.43 43.67* 4.44 35.56 0.00
10 11.25 23.74 9.59 42.43* 1.38 11.53 0.07
11 4.44 5.78 62.33* 4.41 4.34 18.66 0.04
12 10.48 31.15* 7.20 6.35 6.88 37.95 0.00
13 4.37 24.51* 7.62 13.26 7.48 42.75 0.00
14 12.63* 4.51 3.00 5.68 2.12 72.03 0.04
15 10.41 7.72 9.42 12.56* 9.59 50.30 0.00
16 2.54 4.30 4.48 11.57* 2.08 75.03 0.00
17 1.52 4.34 5.01 8.01* 5.61 75.45 0.07
18 2.29 3.32 7.16* 2.40 5.43 79.40 0.00
19 2.89 5.26 7.69* 3.39 1.41 79.37 0.00
20 1.90 2.86 3.21 2.50 4.62* 84.90 0.00
21 4.73 3.88 4.27 9.56* 2.33 75.24 0.00
22 3.07 5.40 6.46* 4.69 4.94 75.45 0.00
23 1.38 3.00 2.68 2.96* 1.48 88.50 0.00
24 3.70 12.38 6.35 2.05* 6.24 69.28 0.00
25 1.83 2.61 3.88 4.34* 1.87 85.47 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 Massachusetts
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 ?
----------------------------------------------------------------------------------------
150.0 1 1
144.0 1 1
139.5 1 1
138.0 2 1 1
133.5 1
132.0 1 1
127.5 2 1 1
126.0 7 2 1 3 5 1
124.5 3 1 1 1 2
123.0 1 1 1 1
120.0 8 1 1 2 4
118.5 1 1 1
115.5 2 1 1
114.0 4 1 1 2
112.5 2 1 2 1
111.0 5 2 1 3
109.5 5 2 1 1 1 5
108.0 3 1 2 2
106.5 3 1 2
105.0 3 2 1 4 1
103.5 4 2 2 5
102.0 2 2 4
100.5 2 1 1
99.0 3 1 2 4
97.5 4 2 5 1
96.0 6 3 1 6 4 1
94.5 5 1 1 3 1
93.0 4 5
91.5 6 5 1 1 3 8
90.0 4 3 1 3 4
88.5 7 4 1 1 4 8 1
87.0 5 2 2 6 1
85.5 2 4 1 2 3
84.0 7 3 1 2 7 1
82.5 5 2 1 6 1
81.0 5 4 6 5 1
79.5 7 6 2 1 4 8
78.0 12 7 7 13
76.5 9 2 1 6 5 1
75.0 6 8 2 13
73.5 12 5 9 8 2
72.0 6 10 1 7 8 2
70.5 7 13 1 8 12
69.0 6 16 6 17 2
67.5 5 5 7 7
66.0 9 12 1 8 16 1
64.5 11 11 10 12 2
63.0 7 7 2 7 6 2
61.5 8 12 14 8 2
60.0 11 11 1 9 15 1
58.5 7 14 1 11 11
57.0 8 15 13 11
55.5 8 11 13 9 2
54.0 16 15 2 18 16
52.5 8 11 11 10
51.0 6 13 1 3 9 7 1
49.5 8 11 6 17
48.0 6 16 1 9 13
46.5 2 10 1 1 7 5
45.0 3 6 5 5
43.5 7 8 5 9 2
42.0 10 9 3 16
40.5 1 5 1 5
39.0 6 4 3
37.5 1 6 1 4 3 6
36.0 1 11 5 7
34.5 2 3 1 4
33.0 2 2 2 3
31.5 2 2 4
30.0 7 5 4 8 1
28.5 1 1
27.0 1 2 3
25.5 2 2 4
24.0 1 5 1 5
22.5 1 1
21.0 1 1
18.0 1 2 3
15.0 1 1
12.0 1 1 2
6.0 1 1
American Mathematics Competitions
2008 AMC 10 B Results for Massachusetts
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 3.29 1.46 3.53 10.60 78.20* 2.92 0.00
2 6.46 77.71* 6.70 1.83 1.58 5.72 0.00
3 18.88 3.05 6.33 38.61* 5.48 27.65 0.00
4 10.35 12.91 65.90* 2.19 1.34 7.31 0.00
5 55.66* 5.85 3.17 2.56 4.87 27.89 0.00
6 5.48 3.53 50.18* 9.26 8.28 23.26 0.00
7 7.67 6.94 67.72* 3.29 4.14 10.23 0.00
8 2.56 7.80 62.36* 8.04 6.33 12.91 0.00
9 23.87* 7.55 6.33 7.67 5.48 48.96 0.12
10 18.39* 4.99 4.51 7.06 7.19 57.86 0.00
11 1.83 20.46* 5.48 8.40 3.65 60.17 0.00
12 75.40* 4.75 3.78 1.83 3.65 10.60 0.00
13 21.92 16.81* 7.55 3.65 3.90 46.04 0.12
14 9.74 35.20* 4.75 4.87 2.19 43.24 0.00
15 19.49* 6.58 6.58 4.51 6.09 56.76 0.00
16 30.94* 22.41 3.29 5.12 5.24 32.89 0.12
17 13.64 11.69* 22.17 10.60 6.82 35.08 0.00
18 7.55 24.85* 10.72 4.75 2.80 49.21 0.12
19 3.78 4.14 7.19 8.04 9.01* 67.84 0.00
20 7.67 47.38* 8.53 6.33 2.44 27.65 0.00
21 8.77 9.74 7.80* 4.51 5.36 63.70 0.12
22 11.33 9.62 18.51* 12.55 6.09 41.78 0.12
23 10.96 8.28* 6.21 6.33 2.19 66.02 0.00
24 6.94 7.55 8.40* 7.80 9.62 59.68 0.00
25 19.12 10.60* 8.53 5.12 3.53 53.11 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 Massachusetts
SCORE DISTRIBUTION
score ----gender----------- -----------grade-----------------
male female ? <=6 7 8 9 10 11 12 13 ?
----------------------------------------------------------------------------------------
141.0 1 1
139.5 1 1
135.0 1 1 1 1
133.5 1 1
132.0 2 1 1
124.5 2 2
123.0 1 1
121.5 1 2 1 2
120.0 1 2
117.0 1 1 3
115.5 2 1 2 1
114.0 4 1 2 2 1
112.5 1 1 1 1
111.0 1 1
109.5 2 1 1
108.0 2 2 1
106.5 1 1 2 1
105.0 6 2 1 6 4
103.5 4 4 1 1 4 2
102.0 3 1 1 1
100.5 8 3 2 8 1
99.0 3 1 3 4
97.5 4 3 1 4 2
96.0 6 2 1 3
94.5 12 3 1 10 4
93.0 7 1 1 2 1 4
91.5 3 3 1 3 4
90.0 5 3 6 3
88.5 9 2 8 4
87.0 6 2 1 6 1
85.5 7 6 12 2 1
84.0 11 2 1 3 6 5 1
82.5 9 7 1 1 10 6 1
81.0 12 4 1 7 8 3
79.5 4 3 1 1 5 3
78.0 11 6 1 2 5 9 4
76.5 16 8 2 1 13 10 4
75.0 12 13 1 20 7
73.5 11 8 1 14 6 1
72.0 24 11 1 19 18
70.5 6 7 10 6 2
69.0 7 10 10 7 2
67.5 6 17 1 14 10 2
66.0 14 11 3 15 10 1
64.5 8 4 2 7 7
63.0 9 10 4 8 8
61.5 7 6 9 8 2
60.0 6 10 8 11 2
58.5 8 6 8 9 2
57.0 5 4 1 3 6 2
55.5 5 10 7 8 1
54.0 8 9 11 10
52.5 1 5 7 1 1
51.0 7 2 5
49.5 3 4 1 2 7
48.0 3 5 3 5
46.5 1 8 6 4
45.0 2 9 9 2 1
43.5 3 9 8 5
42.0 4 2 5 1
40.5 1 1
39.0 2 2 2 2
37.5 1 3 2 2 1
36.0 1 4 1 4
34.5 2 2
33.0 1 1 2
30.0 1 1
28.5 1 1
21.0 1 1
18.0 2 1 2 1
12.0 1 1
American Mathematics Competitions
2008 AMC 12 B Results for Massachusetts
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 0.56 0.42 2.26 9.46 86.16* 0.99 0.14
2 4.66 82.06* 8.05 1.27 1.13 2.82 0.00
3 4.52 10.17 81.50* 0.56 0.00 3.25 0.00
4 1.84 1.55 2.40 83.90* 2.54 7.77 0.00
5 0.99 5.79 74.58* 3.81 4.66 10.17 0.00
6 87.85* 3.25 2.54 0.71 1.13 4.52 0.00
7 81.64* 2.82 0.56 1.27 2.68 11.02 0.00
8 2.54 1.13 69.49* 5.23 3.53 18.08 0.00
9 38.84* 2.97 3.81 4.24 2.82 47.32 0.00
10 2.97 44.21* 10.03 3.95 2.40 36.30 0.14
11 19.77* 7.34 4.52 7.91 21.05 39.27 0.14
12 15.11 29.94* 5.65 3.11 5.51 40.68 0.00
13 3.67 19.49* 3.67 4.94 1.27 66.95 0.00
14 3.53 5.23 36.16* 6.07 4.24 44.77 0.00
15 1.27 2.82 13.14* 5.37 8.19 69.21 0.00
16 12.01 11.86* 5.65 6.50 1.41 62.57 0.00
17 4.66 3.67 8.19* 3.25 1.84 78.39 0.00
18 2.82 3.81 3.67 5.79 11.16* 72.60 0.14
19 3.39 7.20* 3.81 3.25 1.55 80.79 0.00
20 18.08 11.72* 6.92 3.53 2.68 57.06 0.00
21 2.54 1.69 4.10 1.84 4.10* 85.59 0.14
22 4.66 3.39 6.50 5.08 5.37* 75.00 0.00
23 5.08* 2.68 4.10 2.54 0.99 84.60 0.00
24 0.42 3.11 3.53* 2.40 1.27 89.27 0.00
25 1.41 2.40* 4.38 2.12 1.98 87.57 0.14
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column