AMC historical results

Revision as of 16:25, 11 July 2023 by Hungrycalculator (talk | contribs) (AMC 10A)

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 scorers on the AMC 10 and the top 5% of scorers on the AMC 12 were invited to participate in AIME. Since 2020, the AIME floor has been set to a higher percentage of scores, likely to ensure that a consistent number of students qualify for AIME each year, rather than a fixed percentage. Usually, 6000-7000 competitors from the AMC 10 and 12 qualify for the AIME.
  • Distinction: First awarded in 2020. Awarded to top 5% of scorers on each AMC 10 and 12 respectively.
  • Distinguished Honor Roll: Awarded to top 1% of scorers on each AMC 10 and 12 respectively.
  • Honor Roll: Stopped in 2020. Previously awarded to the top 5% of the scorers on the AMC 10.

2023

AMC 10A

  • Average Score:
  • AIME Floor: 93
  • Distinguished Honor Roll: 121.5

AMC 10B

  • Average Score:
  • AIME Floor: 94.5
  • Distinguished Honor Roll: 114

AMC 12A

  • Average Score:
  • AIME Floor:
  • Distinguished Honor Roll:

AMC 12B

  • Average Score:
  • AIME Floor:
  • Distinguished Honor Roll:

AMC 8

  • Average Score: 10
  • Honor Roll: 17
  • DHR: 21
  • Achievement Roll: 15

AIME I

  • Average score: 4.28
  • Median score: 4
  • USAMO cutoff: 223 (AMC 12A), 227 (AMC 12B)
  • USAJMO cutoff: 194 (AMC 10A), 190.5 (AMC 10B)

AIME II

  • Average score: 4.41
  • Median score: 4
  • USAMO cutoff: 214.5 (AMC 12A), 226 (AMC 12B)
  • USAJMO cutoff: 188 (AMC 10A), 180 (AMC 10B)

2022

AMC 10A

  • Average Score: 58.33
  • AIME Floor: 93 (top ~8%)
  • Distinction: 100.5
  • Distinguished Honor Roll: 121.5

AMC 10B

  • Average Score: 57.91
  • AIME Floor: 94.5 (top ~8%)
  • Distinction: 100.5
  • Distinguished Honor Roll: 114

AMC 12A

  • Average score:
  • AIME floor: 85.5 (top ~13%)
  • Distinction: 106.5
  • Distinguished Honor Roll: 126

AMC 12B

  • Average score:
  • AIME floor: 81 (top ~15%)
  • Distinction: 105
  • Distinguished Honor Roll: 129

AMC 8

  • Average score: 9.74
  • Honor Roll: 19
  • Distinguished Honor Roll: 22

AIME I

  • Average score: 4.8283
  • Median score: 4
  • USAMO cutoff: 222 (AMC 12A), 227.5 (AMC 12B)
  • USAJMO cutoff: 203.5 (AMC 10A), 190.5 (AMC 10B)

AIME II

  • Average score:
  • Median score:
  • USAMO cutoff: 208.5 (AMC 12A), 203 (AMC 12B)
  • USAJMO cutoff: 196.5 (AMC 10A), 182 (AMC 10B)

2021 Fall

AMC 10A (Wednesday, November 10)

  • Average score: 59.63
  • AIME floor: 96 (top 6.16%)
  • Distinction: 100.5
  • Distinguished Honor Roll: 117

AMC 10B (Tuesday, November 16)

  • Average score: 56.57
  • AIME floor: 96 (top 6.25%)
  • Distinction: 100.5
  • Distinguished Honor Roll: 120

AMC 12A (Wednesday, November 10)

  • Average score: 63.65
  • AIME floor: 91.5 (top 12.62%)
  • Distinction: 111
  • Distinguished Honor Roll: 130.5

AMC 12B (Tuesday, November 16)

  • Average score: 57.37
  • AIME floor: 84 (top 11.86%)
  • Distinction: 103.5
  • Distinguished Honor Roll: 130.5

Schedule Change

In April 2021, MAA announced they would be moving the AMC 10/12 to November, before the new year, and AMC 8 to January, after the new year; however, the AIME would remain after the new year. Thus there are two "2021 AMC 10/12s", no "2021 AMC 8", and one “2021 AIME”. All future AMC contests will follow this schedule.

2021 Spring

AMC 10A (Thursday, February 4)

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

AMC 10B (Wednesday, February 10)

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

AMC 12A (Thursday, February 4)

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

AMC 12B (Wednesday, February 10)

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

AIME I (Wednesday, March 10)

  • Average score: 5.44
  • Median score: 5
  • USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
  • USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)

AIME II (Thursday, March 18)

  • Average score: 5.42
  • Median score: 5
  • USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
  • USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)

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

  • AIME floor: 112.5
  • DHR: 127.5
  • HR: 112.5
  • Mean: 59.33
  • Median: 55.5

AMC 10B

  • AIME floor: 120
  • DHR: 136.5
  • HR: 120
  • Mean: 66.56
  • Median: 61.5

AMC 12A

  • AIME floor: 96
  • DHR: 115.5
  • HR: 96
  • Mean: 57.0
  • Median: 52.5

AMC 12B

  • AIME floor: 100
  • DHR: 129
  • HR: 100.5
  • Mean: 58.35
  • Median: 54

AIME I

  • USAMO floor: 225.5 (AMC 12A), 235 (AMC 12B)
  • USAJMO floor: 224.5 (AMC 10A), 233 (AMC 10B)
  • Mean: 5.69
  • Median: 5

AIME II

  • USAMO floor: 221 (AMC 12A), 230.5 (AMC 12B)
  • USAJMO floor: 219 (AMC 10A), 225 (AMC 10B)
  • Mean: 5.64
  • Median: 5

USAJMO

  • Participants: 208

USAMO

  • Participants: 280

AMC 8

  • DHR: 20
  • HR: 17
  • Mean: 8.96

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

  • AIME floor: 117
  • DHR: 129
  • HR: 117
  • Mean: 64.24

AMC 10B

  • AIME floor: 117
  • DHR: 133.5
  • HR: 117
  • Mean: 71.78

AMC 12A

  • AIME floor: 93
  • DHR: 112.5
  • HR: 92
  • Mean: 65.38

AMC 12B

  • AIME floor: 97.5
  • DHR: 121.5
  • HR: 92
  • Mean: 64.71

AIME I

  • USAMO floor: 188
  • USAJMO floor: 179
  • Mean: 2.23
  • Median: 2

AIME II

  • USAMO floor: 215.5
  • USAJMO floor: 196.5
  • Mean: 5.47
  • Median: 5

USAJMO

  • Participants: 222

USAMO

  • Participants: 282

AMC 8

  • DHR: 22
  • HR: 17
  • Mean: 10.75

2010

AMC 10A

  • AIME floor: 118.5
  • AIME qualifiers: 960 (1.5%)
  • DHR: 121.5
  • HR: 118.5
  • Mean: 70.8

AMC 10B

  • AIME floor: 118.5
  • AIME qualifiers: 770 (2.0%)
  • DHR: 124.5
  • HR: 118.5
  • Mean: 68.3

AMC 12A

  • AIME floor: 88.5
  • AIME qualifiers: 4874 (7.1%)
  • DHR: 108
  • HR: 88.5
  • Mean: 62.5

AMC 12B

  • AIME floor: 88.5
  • AIME qualifiers: 3270 (8.0%)
  • DHR: 108
  • HR: 88.5
  • Mean: 59.8

AIME I

  • Mean: 4.12
  • Median: 3
  • Participants: 3618

AIME II

  • Mean: 5.91
  • Median: 6
  • Participants: 2904

USAJMO

  • USAJMO floor: 188.5 Index or 11 AIME
  • Participants: 235

USAMO

  • USAMO floor: 208.5 (204.5 for non juniors and seniors)
  • Participants: 328

AMC 8

  • DHR: 22
  • HR: 17
  • Mean: 9.59

2009

AMC 10A

  • AIME floor: 120
  • AIME qualifiers: 3045 (4.2%)
  • DHR: 133.5
  • HR: 120
  • Mean: 70.4

AMC 10B

  • AIME floor: 120
  • AIME qualifiers: 2365 (7.5%)
  • DHR: 141
  • HR: 124.5
  • Mean: 74.4

AMC 12A

  • AIME floor: 97.5
  • AIME qualifiers: 5614 (6.7%)
  • DHR: 117
  • HR: 100.5
  • Mean: 68.0

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 3723 (10.8%)
  • DHR: 124.5
  • HR: 108
  • Mean: 71.7

AIME I

  • Mean: 4.17
  • Median: 4

AIME II

  • Mean: 3.27
  • Median: 3

USAMO

  • USAMO floor: 201 Index or (7 AIME and 215 Index)
  • Participants: 514

AMC 8

  • DHR: 20
  • HR: 17
  • Mean: 10.28

2008

AMC 10A

  • AIME floor: 117
  • AIME qualifiers: 1765 (2.6%)
  • DHR: 127.5
  • HR: 100.5
  • Mean: 58.1

AMC 10B

  • AIME floor: 120
  • AIME qualifiers: 933 (2.7%)
  • DHR: 127.5
  • HR: 100.5
  • Mean: 66.6

AMC 12A

  • AIME floor: 97.5
  • AIME qualifiers: 5183 (6.5%)
  • DHR: 120
  • HR: 97.5
  • Mean: 65.6

AMC 12B

  • AIME floor: 97.5
  • AIME qualifiers: 3367 (8.1%)
  • DHR: 120
  • HR: 97.5
  • Mean: 68.9

AIME I

  • Mean: 4.77
  • Median: 4

AIME II

  • Mean: 5.27
  • Median: 5

USAMO

  • USAMO floor: 204 (215 Index with 7 AIME for non juniors and seniors)
  • Participants: 503

AMC 8

  • DHR: 22
  • HR: 19
  • Mean: 11.45

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

  • AIME floor: 120
  • AIME qualifiers: 1680 (2.7%)
  • Mean: 79.0

AMC 10B

  • AIME floor: 120
  • AIME qualifiers: 870 (2.3%)
  • Mean: 68.5

AMC 12A

  • AIME floor: 100
  • AIME qualifiers: 17118 (22.3%)
  • Mean: 85.7

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 10654 (21.2%)
  • Mean: 85.5

AIME I

  • Participants:
  • Mean:

AIME II

  • Participants:
  • Mean:

USAMO

  • AMC 12 USAMO floor: 217 Index
  • AMC 10 USAMO floor: 8 AIME
  • Participants: 432

AMC 8

  • DHR: 21
  • HR: 17

2005

AMC 10A

  • AIME floor: 120
  • AIME qualifiers: 1258 (1.9%)
  • DHR: 120
  • HR: 100
  • Mean: 74.7

AMC 10B

  • AIME floor: 120
  • AIME qualifiers: 555 (1.6%)
  • DHR: 120
  • HR: 100
  • Mean: 77.9

AMC 12A

  • AIME floor: 100
  • AIME qualifiers: 9441 (11.2%)
  • DHR: 120
  • HR: 100
  • Mean: 78.7

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 5692 (12.8%)
  • DHR: 120
  • HR: 100
  • Mean: 83.4

AIME I

  • AMC 12 USAMO floor: 233 Index
  • Participants: 11197
  • Mean: 2.754

AIME II

  • AMC 12 USAMO floor: 220.5 Index
  • Participants: 1279
  • Mean: 2.439

USAMO

  • AMC 10 USAMO floor: 9 AIME
  • Participants: 259

AMC 8

  • DHR: 20
  • HR: 16

2004

AMC 10A

  • AIME floor: 110
  • AIME qualifiers: 1118 (1.4%)
  • DHR: 112.5
  • HR: 100
  • Mean: 69.1

AMC 10B

  • AIME floor: 115
  • AIME qualifiers: 487 (2.1%)
  • DHR: 126
  • HR: 100
  • Mean: 80.4

AMC 12A

  • AIME floor: 100
  • AIME qualifiers: 8401 (8.1%)
  • DHR: 117
  • HR: 100
  • Mean: 73.9

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 6036 (19.2%)
  • DHR: 123
  • HR: 100
  • Mean: 84.5

AIME I

  • Participants: 9824
  • Mean: 2.246

AIME II

  • Participants: 2121
  • Mean: 1.959

USAMO

  • AMC 12 USAMO floor: 210 Index
  • AMC 10 USAMO floor: 7 AIME
  • Participants: 261

AMC 8

  • DHR: 21
  • HR: 17

2003

AMC 10A

  • AIME floor: 119
  • AIME qualifiers: 1534 (2.0%)
  • Mean: 74.4

AMC 10B

  • AIME floor: 121
  • AIME qualifiers: 350 (1.2%)
  • Mean: 79.6

AMC 12A

  • AIME floor: 100
  • AIME qualifiers: 12089 (12.2%)
  • Mean: 77.8

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 3812 (9.6%)
  • Mean: 76.6

AIME I

  • AMC 12 USAMO floor: 226 Index
  • AMC 10 USAMO floor: 8 AIME
  • Participants:
  • Mean:

AIME II

  • AMC 12 USAMO floor: 226 Index
  • AMC 10 USAMO floor: 8 AIME
  • Participants:
  • Mean:

USAMO

  • Participants: 250

AMC 8

  • DHR: 22
  • HR: 18

2002

AMC 10A

  • AIME floor: 115
  • AIME qualifiers: 921 (1.2%)
  • Mean: 68.5

AMC 10B

  • AIME floor: 118
  • AIME qualifiers: 374 (1.5%)
  • Mean: 74.9

AMC 12A

  • AIME floor: 100
  • AIME qualifiers: 7525 (7.2%)
  • Mean: 72.7

AMC 12B

  • AIME floor: 100
  • AIME qualifiers: 5666 (16.8%)
  • Mean: 80.8

AIME I

  • Participants:
  • Mean:

AIME II

  • Participants:
  • Mean:

USAMO

  • AMC 12 USAMO floor: 210 Index
  • AMC 10 USAMO floor: 6 AIME
  • Participants: 326

2001

AMC 10

  • AIME floor: 116
  • AIME qualifiers: 1790 (1.7%)
  • Mean: 67.8

AMC 12

  • AIME floor: 84
  • AIME qualifiers: 9030 (3.4%)
  • Mean: 56.6

AIME I

  • Participants:
  • Mean:

AIME II

  • Participants:
  • Mean:

USAMO

  • AMC 12 USAMO floor: 213 Index
  • AMC 10 USAMO floor: 7 AIME
  • Participants: 268

2000

AMC 10

  • AIME floor: 110
  • AIME qualifiers: 3892
  • Mean: 64.2

AMC 12

  • AIME floor: 92
  • AIME qualifiers: 9260 (3.3%)
  • Mean: 64.9

AIME I

  • Participants:
  • Mean:

AIME II

  • Participants:
  • Mean:

USAMO

  • Grade 12 USAMO floor: 212 Index
  • Grade 11 USAMO floor: 204 Index
  • Grade 10 USAMO floor: 174 Index, 8 AIME
  • Grade 9 USAMO floor: 164 Index, 7 AIME
  • Participants: 239