AMC historical results
Revision as of 10:29, 17 November 2022 by Mathiscool12 (talk | contribs)
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.
- Honor Roll: Stopped in 2020. Top 5% of the scores on the AMC 10.
2022
AMC 10A
- Average score:
- AIME floor: AoPSers project around 100, most likely between 96 and 103.5.
- Distinction:
- DHR:
AMC 10B
- Average score:
- AIME floor:
- Distinction:
- DHR:
AMC 12A
- Average score:
- AIME floor: AoPSers project around 91.5, most likely between 84 and 91.5.
- Distinction:
- DHR:
AMC 12B
- Average score:
- AIME floor:
- Distinction:
- DHR:
AMC 8
- Average score: 9.74
- Honor Roll: 19
- DHR: 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
- Distinction: 100.5
- Distinguished Honor Roll: 117
AMC 10B (Tuesday, November 16)
- Average score: 56.57
- AIME floor: 96
- Distinction: 100.5
- Distinguished Honor Roll: 120
AMC 12A (Wednesday, November 10)
- Average score: 63.65
- AIME floor: 91.5
- Distinction: 111
- Distinguished Honor Roll: 130.5
AMC 12B (Tuesday, November 16)
- Average score: 57.37
- AIME floor: 84
- 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
1999
AHSME
- Average score: 68.8
- AIME floor:
AIME
- Average score:
- Median score:
- USAMO floor:
