Difference between revisions of "AMC historical results"

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<!-- Post AMC statistics and lists of high scorers here so that the AMC page doesn't get cluttered. -->
 
<!-- Post AMC statistics and lists of high scorers here so that the AMC page doesn't get cluttered. -->
 
This is the '''AMC historical results''' page. This page should include results for the [[AIME]] as well. For [[USAMO]] results, see [[USAMO historical results]].
 
This is the '''AMC historical results''' page. This page should include results for the [[AIME]] as well. For [[USAMO]] results, see [[USAMO historical results]].
 +
==Explanations of Awards==
 +
*Average score: Average score of all participants, regardless of age, grade level, gender, and region.
 +
*AIME floor: Before 2020, approximately the top 2.5% of scores on the AMC 10 and the top 5% of scores on the AMC 12 were invited to participate in AIME. Since 2020, the AIME floor has been set to a higher percentage of scores, possibly to allow a consistent number of AIME qualifiers, rather than a fixed percentage.
 +
*Distinction: First awarded in 2020. Top 5% of scores on the AMC 10/12.
 +
*Distinguished Honor Roll: Top 1% of scores on the AMC 10/12.
 +
 +
==2021==
 +
 +
===AMC 10A===
 +
*Average score: 65.53
 +
*AIME floor: 103.5
 +
*Distinction: 112.5
 +
*Distinguished Honor Roll: 132
 +
 +
===AMC 10B===
 +
*Average score: 62.31
 +
*AIME floor: 102
 +
*Distinction: 108
 +
*Distinguished Honor Roll: 126
 +
 +
===AMC 12A===
 +
*Average score: 67.42
 +
*AIME floor: 93
 +
*Distinction: 114
 +
*Distinguished Honor Roll: 133.5
 +
 +
===AMC 12B===
 +
 +
*Average score: 61.55
 +
*AIME floor: 91.5
 +
*Distinction: 109.5
 +
*Distinguished Honor Roll: 132
 +
 +
===AIME I===
 +
*Average score:
 +
*Median score:
 +
*USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
 +
*USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)
 +
 +
===AIME II===
 +
*Average score:
 +
*Median score:
 +
*USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
 +
*USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)
 +
 +
===AMC 8===
 +
*Average score:
 +
*Honor Roll:
 +
*DHR:
 +
 
==2020==
 
==2020==
 
===AMC 10A===
 
===AMC 10A===
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*AIME floor: 103.5
 
*AIME floor: 103.5
 
*Distinction: 105
 
*Distinction: 105
*DHR: 124.5
+
*Distinguished Honor Roll: 124.5
  
 
===AMC 10B===
 
===AMC 10B===
Line 12: Line 62:
 
*AIME floor: 102
 
*AIME floor: 102
 
*Distinction: 103.5       
 
*Distinction: 103.5       
*DHR: 120
+
*Distinguished Honor Roll: 120
  
 
===AMC 12A===
 
===AMC 12A===
Line 18: Line 68:
 
*AIME floor: 87
 
*AIME floor: 87
 
*Distinction: 100.5
 
*Distinction: 100.5
*DHR: 123
+
*Distinguished Honor Roll: 123
  
 
===AMC 12B===
 
===AMC 12B===
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*AIME floor: 87
 
*AIME floor: 87
 
*Distinction: 97.5
 
*Distinction: 97.5
*DHR: 120
+
*Distinguished Honor Roll: 120
  
 
===AIME I===
 
===AIME I===
*Average score: 5.70
+
*Average score: 5.69
 
*Median score: 6
 
*Median score: 6
*USOMO cutoff: 233.5 (AMC 12A), 235 (AMC 12B)
+
*USAMO cutoff: 233.5 (AMC 12A), 235 (AMC 12B)
*USOJMO cutoff: 229.5 (AMC 10A), 230 (AMC 10B)
+
*USAJMO cutoff: 229.5 (AMC 10A), 230 (AMC 10B)
  
 
===AIME II===
 
===AIME II===
Due to COVID-19, AIME II (AOIME) has been moved online.
+
Due to COVID-19, the 2020 AIME II was administered online and referred to as the AOIME.
*Average score: 6.1259
+
*Average score: 6.13
 
*Median score: 6
 
*Median score: 6
*USOMO cutoff: 234 (AMC 12A), 234.5 (AMC 12B)
+
*USAMO cutoff: 234 (AMC 12A), 234.5 (AMC 12B)
*USOJMO cutoff: 233.5 (AMC 10A), 229.5 (AMC 10B)
+
*USAJMO cutoff: 233.5 (AMC 10A), 229.5 (AMC 10B)
  
 
===AMC 8===
 
===AMC 8===
*Average score: Coming soon!
+
*Average score: 10.00
*Honor roll: Coming soon!
+
*Honor Roll: 18
*DHR: Coming soon!
+
*DHR: 21
 +
 
 
==2019==
 
==2019==
 
===AMC 10A===
 
===AMC 10A===
*Average score: 51.69
+
*Average score: 51.66
 
*Honor roll: 96
 
*Honor roll: 96
 
*AIME floor: 103.5
 
*AIME floor: 103.5
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===AMC 10B===
 
===AMC 10B===
*Average score: 58.47
+
*Average score: 58.42
 
*Honor roll: 102
 
*Honor roll: 102
 
*AIME floor: 108
 
*AIME floor: 108
*DHR: 121.5
+
*Distinguished Honor Roll: 121.5
  
 
===AMC 12A===
 
===AMC 12A===
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===AMC 12B===
 
===AMC 12B===
*Average score: 56.74
+
*Average score: 56.73
 
*AIME floor: 94.5  
 
*AIME floor: 94.5  
 
*DHR: 123
 
*DHR: 123
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===AMC 12A===
 
===AMC 12A===
*Average score: 60.32
+
*Average score: 59.66
 
*AIME floor: 96
 
*AIME floor: 96
 
*DHR: 115.5
 
*DHR: 115.5
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===AMC 12B===
 
===AMC 12B===
 
*Average score: 58.35
 
*Average score: 58.35
*AIME floor: 100.5
+
*AIME floor: 100
 
*DHR: 129
 
*DHR: 129
  
Line 173: Line 224:
  
 
===AMC 12A===
 
===AMC 12A===
*Average score: 59.06
+
*Average score: 60.32
 
*AIME floor: 93
 
*AIME floor: 93
 
*DHR: 111
 
*DHR: 111
  
 
===AMC 12B===
 
===AMC 12B===
*Average score: 67.96
+
*Average score: 68.65
 
*AIME floor: 100.5
 
*AIME floor: 100.5
 
*DHR: 127.5
 
*DHR: 127.5
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===AMC 10B===
 
===AMC 10B===
*Average score: 76.10
+
*Average score: 76.09
 
*AIME floor: 120
 
*AIME floor: 120
 
*DHR: 132
 
*DHR: 132
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===AMC 12B===
 
===AMC 12B===
*Average score: 66.92
+
*Average score: 66.88
 
*AIME floor: 100.5
 
*AIME floor: 100.5
 
*DHR: 126
 
*DHR: 126
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==2014==
 
==2014==
 
===AMC 10A===
 
===AMC 10A===
*Average score: 63.83
+
*Average score: 63.34
 
*AIME floor: 120
 
*AIME floor: 120
 
*DHR: 132
 
*DHR: 132
  
 
===AMC 10B===
 
===AMC 10B===
*Average score: 71.44
+
*Average score: 71.42
 
*AIME floor: 120
 
*AIME floor: 120
 
*DHR: 132
 
*DHR: 132
  
 
===AMC 12A===
 
===AMC 12A===
*Average score: 64.01
+
*Average score: 63.60
 
*AIME floor: 93
 
*AIME floor: 93
 
*DHR: 109.5
 
*DHR: 109.5
  
 
===AMC 12B===
 
===AMC 12B===
*Average score: 68.11
+
*Average score: 68.12
 
*AIME floor: 100.5
 
*AIME floor: 100.5
 
*DHR: 121.5
 
*DHR: 121.5
Line 404: Line 455:
  
 
===AMC 12B===
 
===AMC 12B===
*Average score: 59.58
+
*Average score: 59.98
 
*AIME floor: 88.5
 
*AIME floor: 88.5
 
*DHR cutoff: 109.5
 
*DHR cutoff: 109.5

Latest revision as of 16:01, 6 April 2021

This is the AMC historical results page. This page should include results for the AIME as well. For USAMO results, see USAMO historical results.

Contents

Explanations of Awards

  • Average score: Average score of all participants, regardless of age, grade level, gender, and region.
  • AIME floor: Before 2020, approximately the top 2.5% of scores on the AMC 10 and the top 5% of scores on the AMC 12 were invited to participate in AIME. Since 2020, the AIME floor has been set to a higher percentage of scores, possibly to allow a consistent number of AIME qualifiers, rather than a fixed percentage.
  • Distinction: First awarded in 2020. Top 5% of scores on the AMC 10/12.
  • Distinguished Honor Roll: Top 1% of scores on the AMC 10/12.

2021

AMC 10A

  • Average score: 65.53
  • AIME floor: 103.5
  • Distinction: 112.5
  • Distinguished Honor Roll: 132

AMC 10B

  • Average score: 62.31
  • AIME floor: 102
  • Distinction: 108
  • Distinguished Honor Roll: 126

AMC 12A

  • Average score: 67.42
  • AIME floor: 93
  • Distinction: 114
  • Distinguished Honor Roll: 133.5

AMC 12B

  • Average score: 61.55
  • AIME floor: 91.5
  • Distinction: 109.5
  • Distinguished Honor Roll: 132

AIME I

  • Average score:
  • Median score:
  • USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
  • USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)

AIME II

  • Average score:
  • Median score:
  • USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
  • USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)

AMC 8

  • Average score:
  • Honor Roll:
  • DHR:

2020

AMC 10A

  • Average score: 64.29
  • AIME floor: 103.5
  • Distinction: 105
  • Distinguished Honor Roll: 124.5

AMC 10B

  • Average score: 61.22
  • AIME floor: 102
  • Distinction: 103.5
  • Distinguished Honor Roll: 120

AMC 12A

  • Average score: 61.42
  • AIME floor: 87
  • Distinction: 100.5
  • Distinguished Honor Roll: 123

AMC 12B

  • Average score: 60.47
  • AIME floor: 87
  • Distinction: 97.5
  • Distinguished Honor Roll: 120

AIME I

  • Average score: 5.69
  • Median score: 6
  • USAMO cutoff: 233.5 (AMC 12A), 235 (AMC 12B)
  • USAJMO cutoff: 229.5 (AMC 10A), 230 (AMC 10B)

AIME II

Due to COVID-19, the 2020 AIME II was administered online and referred to as the AOIME.

  • Average score: 6.13
  • Median score: 6
  • USAMO cutoff: 234 (AMC 12A), 234.5 (AMC 12B)
  • USAJMO cutoff: 233.5 (AMC 10A), 229.5 (AMC 10B)

AMC 8

  • Average score: 10.00
  • Honor Roll: 18
  • DHR: 21

2019

AMC 10A

  • Average score: 51.66
  • Honor roll: 96
  • AIME floor: 103.5
  • DHR: 123

AMC 10B

  • Average score: 58.42
  • Honor roll: 102
  • AIME floor: 108
  • Distinguished Honor Roll: 121.5

AMC 12A

  • Average score: 49.22
  • AIME floor: 84
  • DHR: 121.5

AMC 12B

  • Average score: 56.73
  • AIME floor: 94.5
  • DHR: 123

AIME I

  • Average score: 5.88
  • Median score: 6
  • USAMO cutoff: 220 (AMC 12A), 230.5 (AMC 12B)
  • USAJMO cutoff: 209.5 (AMC 10A), 216 (AMC 10B)

AIME II

  • Average score: 6.47
  • Median score: 6
  • USAMO cutoff: 230.5 (AMC 12A), 236 (AMC 12B)
  • USAJMO cutoff: 216.5 (AMC 10A), 220.5 (AMC 10B)

AMC 8

  • Average score: 9.43
  • Honor roll: 19
  • DHR: 23

2018

AMC 10A

  • Average score: 53.84
  • Honor roll: 100.5
  • AIME floor: 111
  • DHR: 127.5

AMC 10B

  • Average score: 57.81
  • Honor roll: 97.5
  • AIME floor: 108
  • DHR: 123

AMC 12A

  • Average score: 56.36
  • AIME floor: 93
  • DHR: 120

AMC 12B

  • Average score: 57.85
  • AIME floor: 99
  • DHR: 126

AIME I

  • Average score: 5.09
  • Median score: 5
  • USAMO cutoff: 215 (AMC 12A), 235 (AMC 12B)
  • USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)

AIME II

  • Average score: 5.48
  • Median score: 5
  • USAMO cutoff: 216 (AMC 12A), 230.5 (AMC 12B)
  • USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)

AMC 8

  • Average score: 8.51
  • Honor roll: 15
  • DHR: 19

2017

AMC 10A

  • Average score: 59.33
  • AIME floor: 112.5
  • DHR: 127.5

AMC 10B

  • Average score: 66.56
  • AIME floor: 120
  • DHR: 136.5

AMC 12A

  • Average score: 59.66
  • AIME floor: 96
  • DHR: 115.5

AMC 12B

  • Average score: 58.35
  • AIME floor: 100
  • DHR: 129

AIME I

  • Average score: 5.69
  • Median score: 5
  • USAMO cutoff: 225 (AMC 12A), 235 (AMC 12B)
  • USAJMO cutoff: 224.5 (AMC 10A), 233 (AMC 10B)

AIME II

  • Average score: 5.64
  • Median score: 5
  • USAMO cutoff: 221 (AMC 12A), 230.5 (AMC 12B)
  • USAJMO cutoff: 219 (AMC 10A), 225 (AMC 10B)

AMC 8

  • Average score: 8.96
  • Honor roll: 17
  • DHR: 20

2016

AMC 10A

  • Average score: 65.31
  • AIME floor: 110
  • DHR: 120

AMC 10B

  • Average score: 65.40
  • AIME floor: 110
  • DHR: 124.5

AMC 12A

  • Average score: 60.32
  • AIME floor: 93
  • DHR: 111

AMC 12B

  • Average score: 68.65
  • AIME floor: 100.5
  • DHR: 127.5

AIME I

  • Average score: 5.83
  • Median score: 6
  • USAMO cutoff: 220
  • USAJMO cutoff: 210.5

AIME II

  • Average score: 4.43
  • Median score: 4
  • USAMO cutoff: 205
  • USAJMO cutoff: 200

AMC 8

  • Average score: 9.36
  • Honor roll: 18
  • DHR: 22

2015

AMC 10A

  • Average score: 73.39
  • AIME floor: 106.5
  • DHR: 115.5

AMC 10B

  • Average score: 76.09
  • AIME floor: 120
  • DHR: 132

AMC 12A

  • Average score: 69.90
  • AIME floor: 99
  • DHR: 117

AMC 12B

  • Average score: 66.88
  • AIME floor: 100.5
  • DHR: 126

AIME I

  • Average score: 5.29
  • Median score: 5
  • USAMO cutoff: 219.0
  • USAJMO cutoff: 213.0

AIME II

  • Average score: 6.63
  • Median score: 6
  • USAMO cutoff: 229.0
  • USAJMO cutoff: 223.5

AMC 8

  • Average score: 8.55
  • Honor roll: 16
  • DHR: 21

2014

AMC 10A

  • Average score: 63.34
  • AIME floor: 120
  • DHR: 132

AMC 10B

  • Average score: 71.42
  • AIME floor: 120
  • DHR: 132

AMC 12A

  • Average score: 63.60
  • AIME floor: 93
  • DHR: 109.5

AMC 12B

  • Average score: 68.12
  • AIME floor: 100.5
  • DHR: 121.5

AIME I

  • Average score: 4.88
  • Median score: 5
  • USAMO cutoff: 211.5
  • USAJMO cutoff: 211

AIME II

  • Average score: 5.49
  • Median score: 5
  • USAMO cutoff: 211.5
  • USAJMO cutoff: 211

AMC 8

  • Average score: 11.43
  • Honor roll: 19
  • DHR: 23

2013

AMC 10A

  • Average score: 72.50
  • AIME floor: 108
  • DHR: 117

AMC 10B

  • Average score: 72.62
  • AIME floor: 120
  • DHR: 129

AMC 12A

  • Average score: 65.06
  • AIME floor: 88.5
  • DHR: 106.5

AMC 12B

  • Average score: 64.21
  • AIME floor: 93
  • DHR: 108

AIME I

  • Average score: 4.69
  • Median score: 4
  • USAMO cutoff: 209
  • USAJMO cutoff: 210.5

AIME II

  • Average score: 6.56
  • Median score: 6
  • USAMO cutoff: 209
  • USAJMO cutoff: 210.5

AMC 8

  • Average score: 10.69
  • Honor roll: 18
  • DHR: 22

2012

AMC 10A

  • Average score: 72.51
  • AIME floor: 115.5
  • DHR: 121.5

AMC 10B

  • Average score: 76.59
  • AIME floor: 120
  • DHR: 133.5

AMC 12A

  • Average score: 64.62
  • AIME floor: 94.5
  • DHR: 109.5

AMC 12B

  • Average score: 70.08
  • AIME floor: 99
  • DHR: 114

AIME I

  • Average score: 5.13
  • Median score: 5
  • USAMO cutoff: 204.5
  • USAJMO cutoff: 204

AIME II

  • Average score: 4.94
  • Median score: 5
  • USAMO cutoff: 204.5
  • USAJMO cutoff: 204

AMC 8

  • Average score: 10.67
  • Honor roll: 18
  • DHR: 22

2011

AMC 10A

  • Average score: 64.24
  • AIME floor: 117
  • DHR: 129

AMC 10B

  • Average score: 71.78
  • AIME floor: 117
  • DHR: 133.5

AMC 12A

  • Average score: 65.38
  • AIME floor: 93
  • DHR: 112.5

AMC 12B

  • Average score: 64.71
  • AIME floor: 97.5
  • DHR: 121.5

AIME I

  • Average score: 2.23
  • Median score: 2
  • USAMO cutoff: 188
  • USAJMO cutoff: 179

AIME II

  • Average score: 5.47
  • Median score: 5
  • USAMO cutoff: 215.5
  • USAJMO cutoff: 196.5

AMC 8

  • Average score: 10.75
  • Honor roll: 17
  • DHR: 22

2010

AMC 10A

  • Average score: 68.11
  • AIME floor: 115.5

AMC 10B

  • Average score: 68.57
  • AIME floor: 118.5

AMC 12A

  • Average score: 61.02
  • AIME floor: 88.5
  • DHR cutoff: 108

AMC 12B

  • Average score: 59.98
  • AIME floor: 88.5
  • DHR cutoff: 109.5

AIME I

  • Average score: 5.90
  • Median score: 6
  • USAMO cutoff: 208.5 (204.5 for non juniors and seniors)
  • USAJMO cutoff: 188.5

AIME II

  • Average score: 3.39
  • Median score: 3
  • USAMO cutoff: 208.5 (204.5 for non juniors and seniors)
  • USAJMO cutoff: 188.5

AMC 8

  • Average score: 9.59
  • Honor roll: 17
  • DHR: 22

2009

AMC 10A

  • Average score: 67.41
  • AIME floor: 117

AMC 10B

  • Average score: 74.73
  • AIME floor: 120

AMC 12A

  • Average score: 66.37
  • AIME floor: 97.5

AMC 12B

  • Average score: 71.88
  • AIME floor: 100 (Top 5% (1.00))

AIME I

  • Average score: 4.17
  • Median score: 4
  • USAMO floor:

AIME II

  • Average score: 3.27
  • Median score: 3
  • USAMO floor:

AMC 8

  • Average score: 10.28
  • Honor roll: 17
  • DHR: 20

2008

AMC 10A

  • Average score: 60.25
  • AIME floor: 117

AMC 10B

  • Average score:
  • AIME floor: 120

AMC 12A

  • Average score: 65.6
  • AIME floor: 97.5

AMC 12B

  • Average score: 68.9
  • AIME floor: 97.5

AIME I

  • Average score: 4.77
  • Median score: 4
  • USAMO floor:

AIME II

  • Average score: 5.27
  • Median score: 5
  • USAMO floor:

AMC 8

  • Average score: 11.45
  • Honor roll: 19
  • DHR: 22

2007

AMC 10A

  • Average score: 67.9
  • AIME floor: 117

AMC 10B

  • Average score: 61.5
  • AIME floor: 115.5

AMC 12A

  • Average score: 66.8
  • AIME floor: 97.5

AMC 12B

  • Average score: 73.1
  • AIME floor: 100

AIME I

  • Average score: 5
  • Median score: 3
  • USAMO floor: 6

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

AMC 8

  • Average score: 9.87
  • Honor roll: 17
  • DHR: 21

2006

AMC 10A

  • Average score: 79.0
  • AIME floor: 120

AMC 10B

  • Average score: 68.5
  • AIME floor: 120

AMC 12A

  • Average score: 85.7
  • AIME floor: 100

AMC 12B

  • Average score: 85.5
  • AIME floor: 100

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

AMC 8

  • Honor roll: 17
  • DHR: 21

2005

AMC 10A

  • Average score: 74.0
  • AIME floor: 120

AMC 10B

  • Average score: 79.0
  • AIME floor: 120

AMC 12A

  • Average score: 78.7
  • AIME floor: 100

AMC 12B

  • Average score: 83.4
  • AIME floor: 100

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

AMC 8

  • Honor roll: 16
  • DHR: 20

2004

AMC 10A

  • Average score: 69.1
  • AIME floor: 110

AMC 10B

  • Average score: 80.4
  • AIME floor: 115

AMC 12A

  • Average score: 73.9
  • AIME floor: 100

AMC 12B

  • Average score: 84.5
  • AIME floor: 100

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

AMC 8

  • Honor roll: 17
  • DHR: 21

2003

AMC 10A

  • Average score: 74.4
  • AIME floor: 119

AMC 10B

  • Average score: 79.6
  • AIME floor: 121

AMC 12A

  • Average score: 77.8
  • AIME floor: 100

AMC 12B

  • Average score: 76.6
  • AIME floor: 100

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

AMC 8

  • Honor roll: 18
  • DHR: 22

2002

AMC 10A

  • Average score: 68.5
  • AIME floor: 115

AMC 10B

  • Average score: 74.9
  • AIME floor: 118

AMC 12A

  • Average score: 72.7
  • AIME floor: 100

AMC 12B

  • Average score: 80.8
  • AIME floor: 100

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

2001

AMC 10

  • Average score: 67.8
  • AIME floor: 116

AMC 12

  • Average score: 56.6
  • AIME floor: 84

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

2000

AMC 10

  • Average score: $64.2$
  • AIME floor: $110$

AMC 12

  • Average score: $64.9$
  • AIME floor: $92$

AIME I

  • Average score:
  • Median score:
  • USAMO floor:

AIME II

  • Average score:
  • Median score:
  • USAMO floor:

1999

AHSME

  • Average score: $68.8$
  • AIME floor:

AIME

  • Average score:
  • Median score:
  • USAMO floor:
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