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2004 - AMC 12B Item Difficulty by Grade

2004 Contest Item Difficulty by Grade
for the AMC 12B
AMC 12B Item Difficulty - Grade 13^, 161 Students
ITEM
A
B
C
D
E
OMITS
?
1
9.88
*
0.06
0
0
0
0.06
0
2
0
0.25
0.37
9.32
*
0
0.06
0
3
7.83
*
0.19
0.25
0.06
0
1.68
0
4
0.93
6.77
*
1.18
0.37
0.06
0.68
0
5
6.15
*
0.62
0.12
0.25
0.06
2.8
0
6
9.01
*
0.19
0.06
0.06
0.06
0.62
0
7
0.19
6.83
*
0.31
0.99
0
1.68
0
8
0.12
0.06
0
8.88
*
0.43
0.50
0
9
0.25
0.37
0.31
0.25
8.32
*
0.50
0
10
7.08
*
0.06
0
0.56
0.25
2.05
0
11
0.43
0.37
1.86
5.90
*
0.19
1.24
0
12
0.62
0.87
3.79
*
0.31
0.25
4.16
0
13
1.24
*
0.12
1.37
0.68
0.37
6.21
0
14
0.31
0.37
0.12
2.48
*
0.56
6.15
0
15
0.19
6.21
*
0.12
0.06
0
3.42
0
16
0.37
0.43
0.93
*
0.06
0.06
8.14
0
17
0.43
*
0.06
0.06
0.31
0.06
9.07
0
18
0.25
0.12
0.06
0
0.56
*
9.01
0
19
0.37
*
0.19
0.19
0.25
0
9.01
0
20
1.18
0.43
*
0.68
0.19
0.37
7.14
0
21
0.31
0
0.06
*
0.06
0.06
9.50
0
22
0.25
0.25
0.25
*
0.25
0.12
8.88
0
23
0.12
0.12
0.19
*
0
0.12
9.44
0
24
0.12
0.06
*
0.12
0.12
0.06
9.50
0
25
0.25
0.19
*
0.25
0.19
0.56
8.57
0
(*) Correct Response
(?) Response the computer was unable to read due to incomplete erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not included in this analysis.
ITEM
A
B
C
D
E
OMITS
?
1
9.71
*
0.12
0.03
0.05
0
0.09
0
2
0.02
0.14
0.65
9.02
*
0.08
0.1
0
3
8.32
*
0.12
0.11
0.05
0.07
1.34
0
4
1.11
6.49
*
1.19
0.21
0.03
0.97
0
5
5.52
*
0.85
0.32
0.21
0.19
2.9
0
6
8.11
*
0.22
0.12
0.09
0.21
1.25
0
7
0.43
5.29
*
0.41
1.12
0.1
2.65
0
8
0.06
0.09
0.2
8.99
*
0.36
0.3
0
9
1
0.58
0.64
1.8
4.79
*
1.18
0
10
4.52
*
0.14
0.17
1.12
0.33
3.72
0
11
0.37
0.43
2.58
5.22
*
0.19
1.2
0
12
0.67
1.05
3.44
*
0.82
0.22
3.8
0
13
1.19
*
0.22
1.18
0.61
0.56
6.23
0
14
0.24
0.4
0.42
2.16
*
0.26
6.51
0
15
0.26
6.36
*
0.25
0.24
0.14
2.75
0
16
0.52
0.38
0.74
*
0.2
0.05
8.11
0
17
0.42
*
0.26
0.28
0.24
0.14
8.66
0
18
0.31
0.23
0.27
0.18
1.01
*
7.99
0
19
0.46
*
0.22
0.29
0.36
0.18
8.49
0
20
1.07
0.86
*
0.69
0.26
0.46
6.68
0
21
0.1
0.11
0.24
*
0.14
0.11
9.31
0
22
0.42
0.37
0.3
*
0.33
0.25
8.34
0
23
0.1
0.16
0.23
*
0.15
0.09
9.26
0
24
0.11
0.16
*
0.31
0.17
0.1
9.15
0
25
0.29
0.27
*
0.38
0.26
0.76
8.04
0
(*) Correct Response
(?) Response the computer was unable to read due to incomplete erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not included in this analysis.
ITEM
A
B
C
D
E
OMITS
?
1
9.68
*
0.14
0.04
0.04
0.01
0.09
0
2
0.01
0.17
0.75
8.86
*
0.08
0.13
0
3
8.13
*
0.13
0.12
0.04
0.08
1.5
0
4
1.31
6.19
*
1.13
0.21
0.04
1.1
0
5
4.91
*
0.95
0.34
0.22
0.20
3.38
0
6
7.71
*
0.21
0.12
0.14
0.34
1.48
0
7
0.49
4.67
*
0.46
1.36
0.09
2.93
0
8
0.08
0.10
0.19
8.88
*
0.42
0.34
0
9
1.13
0.67
0.76
1.90
4.30
*
1.25
0
10
3.68
*
0.17
0.19
1.34
0.33
4.28
0
11
0.36
0.49
2.93
4.78
*
0.19
1.25
0
12
0.66
1.15
2.90
*
1.00
0.25
4.04
0
13
0.76
*
0.24
1.31
0.58
0.60
6.51
0
14
0.23
0.37
0.37
1.57
*
0.29
7.16
0
15
0.29
6.15
*
0.25
0.26
0.16
2.88
0
16
0.61
0.42
0.70
*
0.18
0.03
8.07
0
17
0.29
*
0.20
0.26
0.25
0.13
8.87
0
18
0.33
0.21
0.20
0.16
0.69
*
8.42
0
19
0.26
*
0.18
0.26
0.35
0.17
8.79
0
20
1.13
0.87
*
0.69
0.23
0.57
6.51
0
21
0.11
0.09
0.16
*
0.14
0.08
9.41
0
22
0.42
0.35
0.26
*
0.37
0.27
8.33
0
23
0.09
0.15
0.19
*
0.12
0.09
9.37
0
24
0.10
0.11
*
0.29
0.17
0.11
9.23
0
25
0.29
0.26
*
0.39
0.24
0.82
7.99
0
(*) Correct Response
(?) Response the computer was unable to read due to incomplete erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not included in this analysis.
ITEM
A
B
C
D
E
OMITS
?
1
9.75
*
0.09
0.05
0.04
0.01
0.06
0
2
0.01
0.22
0.76
8.81
*
0.07
0.12
0.01
3
8.23
*
0.11
0.08
0.05
0.09
1.44
0
4
1.12
6.46
*
1.07
0.26
0.03
1.06
0
5
5.58
*
0.73
0.34
0.17
0.18
3.00
0
6
7.68
*
0.23
0.11
0.16
0.41
1.40
0
7
0.42
5.28
*
0.43
1.21
0.08
2.59
0
8
0.05
0.08
0.20
8.99
*
0.36
0.32
0
9
0.97
0.60
0.61
1.67
4.82
*
1.34
0
10
4.19
*
0.16
0.15
1.27
0.31
3.91
0
11
0.28
0.52
2.61
5.18
*
0.16
1.25
0
12
0.61
1.11
3.31
*
0.93
0.19
3.85
0
13
0.92
*
0.23
1.19
0.56
0.66
6.44
0
14
0.22
0.30
0.33
1.92
*
0.23
6.99
0
15
0.23
6.46
*
0.21
0.30
0.17
2.63
0
16
0.55
0.39
0.86
*
0.17
0.02
8.02
0
17
0.45
*
0.22
0.25
0.17
0.16
8.75
0
18
0.28
0.23
0.17
0.12
0.78
*
8.41
0
19
0.41
*
0.16
0.23
0.37
0.15
8.69
0
20
1.04
0.82
*
0.80
0.16
0.46
6.71
0
21
0.13
0.05
0.16
*
0.13
0.09
9.44
0
22
0.41
0.30
0.30
*
0.34
0.23
8.42
0
23
0.07
0.14
0.18
*
0.11
0.13
9.37
0
24
0.07
0.12
*
0.30
0.12
0.08
9.31
0
25
0.23
0.28
*
0.35
0.25
0.75
8.14
0
(*) Correct Response
(?) Response the computer was unable to read due to incomplete erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not included in this analysis.
ITEM
A
B
C
D
E
OMITS
?
1
9.82
*
0.08
0.03
0.03
0.00
0.05
0
2
0.00
0.20
0.84
8.84
*
0.05
0.06
0
3
8.20
*
0.10
0.06
0.03
0.08
1.52
0.01
4
0.92
6.34
*
1.38
0.23
0.01
1.11
0
5
6.34
*
0.64
0.28
0.22
0.13
2.39
0
6
7.53
*
0.24
0.15
0.22
0.61
1.24
0
7
0.27
5.45
*
0.43
1.14
0.08
2.63
0
8
0.09
0.06
0.18
9.13
*
0.27
0.27
0
9
0.91
0.56
0.84
1.66
4.65
*
1.37
0
10
4.03
*
0.14
0.23
1.19
0.28
4.13
0
11
0.23
0.37
2.40
5.51
*
0.28
1.20
0
12
0.64
0.92
3.62
*
0.96
0.26
3.59
0.01
13
0.81
*
0.22
1.14
0.63
0.46
6.75
0
14
0.20
0.31
0.24
2.08
*
0.29
6.87
0
15
0.26
6.92
*
0.14
0.22
0.18
2.29
0
16
0.82
0.33
0.81
*
0.19
0.05
7.79
0.01
17
0.51
*
0.35
0.28
0.13
0.15
8.58
0
18
0.42
0.22
0.18
0.12
0.82
*
8.25
0
19
0.35
*
0.20
0.29
0.33
0.09
8.73
0
20
1.14
0.84
*
0.82
0.22
0.32
6.66
0
21
0.08
0.13
0.18
*
0.10
0.06
9.45
0
22
0.47
0.33
0.23
*
0.43
0.31
8.22
0
23
0.03
0.20
0.24
*
0.10
0.15
9.27
0
24
0.13
0.09
*
0.19
0.12
0.13
9.35
0
25
0.27
0.2
*
0.33
0.20
0.60
8.39
0
(*) Correct Response
(?) Response the computer was unable to read due to incomplete erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not included in this analysis.
ITEM
A
B
C
D
E
OMITS
?
1
9.95
*
0.05
0.00
0.00
0.00
0.00
0
2
0.05
0.22
0.66
8.90
*
0.05
0.11
0
3
8.57
*
0.05
0.05
0.00
0.22
1.10
0
4
0.55
7.25
*
1.04
0.38
0.00
0.77
0
5
7.58
*
0.11
0.22
0.22
0.05
1.81
0
6
7.69
*
0.27
0.11
0.16
0.49
1.26
0
7
0.22
6.37
*
0.33
0.44
0.05
2.58
0
8
0.00
0.00
0.05
9.62
*
0.16
0.16
0
9
0.38
0.38
0.77
1.70
4.12
*
2.64
0
10
4.67
*
0.00
0.00
0.49
0.22
4.62
0
11
0.22
0.38
1.43
7.25
*
0.11
0.60
0
12
0.66
1.32
3.96
*
0.66
0.38
3.02
0
13
0.88
*
0.11
0.71
0.33
0.05
7.91
0
14
0.22
0.05
0.05
1.70
*
0.00
7.97
0
15
0.00
7.64
*
0.05
0.33
0.00
1.98
0
16
0.44
0.38
0.88
*
0.22
0.00
8.08
0
17
0.71
*
0.22
0.22
0.00
0.11
8.74
0
18
0.16
0.11
0.05
0.05
0.71
*
8.90
0
19
0.33
*
0.05
0.05
0.49
0.00
9.07
0
20
0.77
0.93
*
0.77
0.16
0.16
7.20
0
21
0.05
0.00
0.11
*
0.00
0.05
9.78
0
22
0.16
0.05
0.49
*
0.16
0.16
8.96
0
23
0.00
0.11
0.11
*
0.00
0.05
9.73
0
24
0.00
0.05
*
0.11
0.00
0.05
9.78
0
25
0.27
0.16
*
0.05
0.05
0.49
8.96
0
(*) Correct Response
(?) Response the computer was unable to read due to incomplete erasures or two answers marked in the same column
(^) Note: Students who failed to indicate their grade are not included in this analysis.
Answers
AMC 10A
posted on 2/16/04
AMC 10B
posted on 1/1/04
AMC 12A
posted on 2/16/04
AMC 12B
posted on 1/1/04
Statistics
12A & 12B
Item Difficulty
in General
by Gender
by Grade
Score Distribution
in General
by Gender
by Grade
Perfect Scores
Team Scores
Answers
AIME - I March 23, 2004
AIME - II , April 6, 2004
Statisticss
AIME - I
AIME - II
USAMO
 Qualifiers

The AMC Web Site was last updated on 3/18/2004