Knowledge (XXG)

American Mathematics Competitions

Source 📝

633:
1980s to 2 points. When the competition was shortened as part of the 2000 rebranding from AHSME to AMC, the value of a correct answer was increased to 6 points and the number of questions reduced to 25 (keeping 150 as a perfect score). In 2001, the score of a blank was increased to 2.5 to penalize guessing. The 2007 competitions were the first with only 1.5 points awarded for a blank, to discourage students from leaving a large number of questions blank in order to assure qualification for the AIME. For example, prior to this change, on the AMC 12, a student could advance with only 11 correct answers, presuming the remaining questions were left blank. After the change, a student must answer 14 questions correctly to reach 100 points.
637:
on the 2022 AMC 10A was the same as problem 18 on the 2022 AMC 12A. Since 2002, two administrations have been scheduled, so as to avoid conflicts with school breaks. Students are eligible to compete in an A competition and a B competition, and may even take the AMC 10-A and the AMC 12-B, though they may not take both the AMC 10 and AMC 12 from the same date. If a student participates in both competitions, they may use either score towards qualification to the AIME or USAMO/USAJMO. In 2021, the competition format was changed to occur in the Fall instead of the Spring.
172: 77: 36: 331:(USAMO), while students who perform exceptionally well on the AMC 10 and AIME are invited to United States of America Junior Mathematical Olympiad (USAJMO). Students who do exceptionally well on the USAMO (typically around 45 students based on score and grade level) and USAJMO (typically around the top 15 students) are invited to attend the 636:
The competitions have historically overlapped to an extent, with the medium-hard AMC 10 questions usually being the same as the medium-easy ones on the AMC 12. However, this trend has diverged recently, and questions that are in both the AMC 10 and 12 are in increasingly similar positions. Problem 18
485:
The AMC 8 is a 25 multiple-choice question, 40-minute competition designed for middle schoolers. No problems require the use of a calculator, and their use has been banned since 2008. The competition was previously held on a Thursday in November. However, after 2022, the competition has been held in
632:
From 1974 until 1999, the competition (then known as the American High School Math Examination, or AHSME) had 30 questions and was 90 minutes long, scoring 5 points for correct answers. Originally during this time, 1 point was awarded for leaving an answer blank, however, it was changed in the late
343:
The AMC contest series includes the American Mathematics Contest 8 (AMC 8) (formerly the American Junior High School Mathematics Examination) for students in grades 8 and below, begun in 1985; the American Mathematics Contest 10 (AMC 10), for students in grades 9 and 10, begun in 2000; the American
552:
The competitions are scored based on the number of questions answered correctly and the number of questions left blank. A student receives 6 points for each question answered correctly, 1.5 points for each question left blank, and 0 points for incorrect answers. Thus, a student who answers 24
344:
Mathematics Contest 12 (AMC 12) (formerly the American High School Mathematics Examination) for students in grades 11 and 12, begun in 1950; the American Invitational Mathematics Examination (AIME), begun in 1983; and the USA Mathematical Olympiad (USAMO), begun in 1972.
489:
The AMC 8 is scored based on the number of questions answered correctly only. There is no penalty for getting a question wrong, and each question has equal value. Thus, a student who answers 23 questions correctly and 2 questions incorrectly receives a score of 23.
541:
The AMC 10 and AMC 12 are 25 question, 75-minute multiple choice competitions in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators have not been allowed on the AMC 10/12 since 2008.
467:
A&B versions introduced in 2002. USAMO split into USAJMO and USAMO in 2010. AMC 10 participants who pass AIME can qualify for and participate in USAJMO, provided they don't also qualify for USAMO. USAJMO is meant to be easier than USAMO.
959: 595: 984: 928: 627: 793: 49: 1030: 1020: 964: 923: 892: 654: 328: 1061: 1015: 979: 646: 546: 442: 324: 969: 87: 306:(IMO). The selection process takes place over the course of roughly five stages. At the last stage, the US selects six members to form the IMO team. 236: 145: 55: 208: 117: 1025: 933: 526:
The top three students for each school section will receive respectively a gold, silver, or bronze Certificate for Outstanding Achievement.
215: 124: 918: 670: 303: 299: 974: 885: 1056: 949: 273: 255: 63: 222: 193: 186: 131: 782: 678: 204: 113: 102: 913: 878: 662: 629:
points; in 2020, the AMC 12 had a total of 18 perfect scores between its two administrations, and the AMC 10 also had 18.
332: 954: 556: 486:
January. The AMC 8 is a standalone competition; students cannot qualify for the AIME via their AMC 8 score alone.
182: 229: 138: 830: 760: 94: 600: 844: 323:
Students who perform well on the AMC 10 or AMC 12 competitions are invited to participate in the
532:
An AMC 8 Merit Certificate is given to high scoring students who are in 6th grade or below.
1035: 989: 327:(AIME). Students who perform exceptionally well on the AMC 12 and AIME are invited to the 1050: 523:
An AMC 8 Winner Pin is given to the student(s) in each school with the highest score.
747: 520:
A Certificate of Distinction is given to all students who receive a perfect score.
723: 817: 295: 171: 76: 1005: 698: 319:
the AMC 12, for students under the age of 19.5 and in grades 12 and below
316:
the AMC 10, for students under the age of 17.5 and in grades 10 and below
870: 818:
American Mathematics Competitions | Mathematical Association of America
748:
American Mathematics Competitions | Mathematical Association of America
313:
the AMC 8, for students under the age of 14.5 and in grades 8 and below
529:
An AMC 8 Honor Roll Certificate is given to all high scoring students.
17: 545:
High scores on the AMC 10 or 12 can qualify the participant for the
294:
s) are the first of a series of competitions in secondary school
445:
introduced in 1983, now is a middle step between AHSME and USAMO
874: 165: 70: 29: 302:
that determine the United States of America's team for the
863: 507:
Distinguished Honor Roll: Top 1% (has ranged from 19–25)
98: 603: 559: 998: 942: 906: 621: 589: 309:There are three AMC competitions held each year: 783:"2021 AMC 10/12 A The Official Teacher's Manual" 655:United States of America Mathematical Olympiad 329:United States of America Mathematical Olympiad 886: 647:American Invitational Mathematics Examination 553:correctly, leaves 1 blank, and misses 0 gets 547:American Invitational Mathematics Examination 436:American High School Mathematics Examination 325:American Invitational Mathematics Examination 8: 590:{\displaystyle 24\times 6+1.5\times 1=145.5} 103:introducing citations to additional sources 750:. Amc-reg.maa.org. Retrieved on 2013-08-14. 411:Annual High School Mathematics Examination 64:Learn how and when to remove these messages 893: 879: 871: 510:Honor Roll: Top 5% (has ranged from 19-23) 602: 558: 274:Learn how and when to remove this message 256:Learn how and when to remove this message 346: 93:Relevant discussion may be found on the 820:. Amc.maa.org. Retrieved on 2013-08-14. 718: 716: 690: 597:points. The maximum possible score is 448:AJHSME, now AMC 8, introduced in 1985 192:Please improve this article by adding 763:. Mathematical Association of America 743: 741: 726:. Mathematical Association of America 701:. Mathematical Association of America 7: 1062:Recurring events established in 1950 790:Mathematical Association of America 671:International Mathematical Olympiad 304:International Mathematical Olympiad 300:Mathematical Association of America 205:"American Mathematics Competitions" 114:"American Mathematics Competitions" 25: 457:American Mathematics Competition 288:American Mathematics Competitions 45:This article has multiple issues. 761:"American Mathematics Contest 8" 679:List of mathematics competitions 465:AHSME split into AMC10 and AMC12 170: 86:relies largely or entirely on a 75: 34: 799:from the original on 2020-09-21 53:or discuss these issues on the 27:Secondary school US competition 622:{\displaystyle 25\times 6=150} 1: 663:Mathematical Olympiad Program 333:Mathematical Olympiad Program 194:secondary or tertiary sources 503:Based on questions correct: 367:Annual High School Contest 1078: 410: 369: 366: 1057:Mathematics competitions 831:"Art of Problem Solving" 623: 591: 181:relies excessively on 624: 592: 901:American mathematics 601: 557: 373:New York state only 99:improve this article 845:"Areteem Institute" 494:Rankings and awards 1031:Putnam Competition 619: 587: 1044: 1043: 537:AMC 10 and AMC 12 476:Rules and scoring 473: 472: 356:No. of questions 298:sponsored by the 284: 283: 276: 266: 265: 258: 240: 164: 163: 149: 68: 16:(Redirected from 1069: 895: 888: 881: 872: 867: 866: 864:Official website 849: 848: 841: 835: 834: 827: 821: 815: 809: 808: 806: 804: 798: 787: 779: 773: 772: 770: 768: 757: 751: 745: 736: 735: 733: 731: 720: 711: 710: 708: 706: 695: 628: 626: 625: 620: 596: 594: 593: 588: 347: 279: 272: 261: 254: 250: 247: 241: 239: 198: 174: 166: 159: 156: 150: 148: 107: 79: 71: 60: 38: 37: 30: 21: 1077: 1076: 1072: 1071: 1070: 1068: 1067: 1066: 1047: 1046: 1045: 1040: 1036:Integration Bee 994: 990:Geometry Center 938: 902: 899: 862: 861: 858: 853: 852: 843: 842: 838: 829: 828: 824: 816: 812: 802: 800: 796: 785: 781: 780: 776: 766: 764: 759: 758: 754: 746: 739: 729: 727: 722: 721: 714: 704: 702: 697: 696: 692: 687: 643: 599: 598: 555: 554: 539: 496: 483: 478: 466: 446: 341: 280: 269: 268: 267: 262: 251: 245: 242: 199: 197: 191: 187:primary sources 175: 160: 154: 151: 108: 106: 92: 80: 39: 35: 28: 23: 22: 15: 12: 11: 5: 1075: 1073: 1065: 1064: 1059: 1049: 1048: 1042: 1041: 1039: 1038: 1033: 1028: 1023: 1018: 1013: 1008: 1002: 1000: 996: 995: 993: 992: 987: 982: 977: 972: 967: 962: 957: 952: 946: 944: 940: 939: 937: 936: 931: 926: 921: 916: 910: 908: 904: 903: 900: 898: 897: 890: 883: 875: 869: 868: 857: 856:External links 854: 851: 850: 836: 822: 810: 774: 752: 737: 712: 689: 688: 686: 683: 682: 681: 675: 674: 667: 666: 659: 658: 651: 650: 642: 639: 618: 615: 612: 609: 606: 586: 583: 580: 577: 574: 571: 568: 565: 562: 538: 535: 534: 533: 530: 527: 524: 521: 512: 511: 508: 495: 492: 482: 479: 477: 474: 471: 470: 461: 458: 455: 451: 450: 440: 437: 434: 430: 429: 426: 423: 419: 418: 415: 412: 409: 405: 404: 401: 398: 394: 393: 392:-10 Questions 390: 387: 383: 382: 379: 375: 374: 371: 368: 365: 361: 360: 357: 354: 351: 340: 337: 321: 320: 317: 314: 282: 281: 264: 263: 178: 176: 169: 162: 161: 97:. Please help 83: 81: 74: 69: 43: 42: 40: 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1074: 1063: 1060: 1058: 1055: 1054: 1052: 1037: 1034: 1032: 1029: 1027: 1024: 1022: 1019: 1017: 1014: 1012: 1009: 1007: 1004: 1003: 1001: 997: 991: 988: 986: 983: 981: 978: 976: 973: 971: 968: 966: 963: 961: 958: 956: 953: 951: 948: 947: 945: 941: 935: 932: 930: 927: 925: 922: 920: 917: 915: 912: 911: 909: 907:Organizations 905: 896: 891: 889: 884: 882: 877: 876: 873: 865: 860: 859: 855: 846: 840: 837: 832: 826: 823: 819: 814: 811: 795: 791: 784: 778: 775: 762: 756: 753: 749: 744: 742: 738: 725: 719: 717: 713: 700: 694: 691: 684: 680: 677: 676: 672: 669: 668: 664: 661: 660: 656: 653: 652: 648: 645: 644: 640: 638: 634: 630: 616: 613: 610: 607: 604: 584: 581: 578: 575: 572: 569: 566: 563: 560: 550: 548: 543: 536: 531: 528: 525: 522: 519: 518: 517: 516: 509: 506: 505: 504: 501: 500: 493: 491: 487: 480: 475: 469: 463:-5 Questions 462: 459: 456: 454:2000–present 453: 452: 449: 444: 441: 438: 435: 432: 431: 428:-5 Questions 427: 424: 421: 420: 416: 413: 407: 406: 403:-5 Questions 402: 399: 396: 395: 391: 388: 385: 384: 380: 377: 376: 372: 363: 362: 358: 355: 352: 349: 348: 345: 338: 336: 334: 330: 326: 318: 315: 312: 311: 310: 307: 305: 301: 297: 293: 289: 278: 275: 260: 257: 249: 246:November 2023 238: 235: 231: 228: 224: 221: 217: 214: 210: 207: –  206: 202: 201:Find sources: 195: 189: 188: 184: 179:This article 177: 173: 168: 167: 158: 155:November 2023 147: 144: 140: 137: 133: 130: 126: 123: 119: 116: –  115: 111: 110:Find sources: 104: 100: 96: 90: 89: 88:single source 84:This article 82: 78: 73: 72: 67: 65: 58: 57: 52: 51: 46: 41: 32: 31: 19: 1010: 999:Competitions 943:Institutions 839: 825: 813: 801:. Retrieved 789: 777: 765:. Retrieved 755: 728:. Retrieved 703:. Retrieved 693: 635: 631: 551: 544: 540: 514: 513: 502: 498: 497: 488: 484: 464: 447: 342: 322: 308: 291: 287: 285: 270: 252: 243: 233: 226: 219: 212: 200: 180: 152: 142: 135: 128: 121: 109: 85: 61: 54: 48: 47:Please help 44: 767:28 December 730:28 December 724:"AMC 10/12" 705:29 December 381:Nationwide 296:mathematics 1051:Categories 1006:MATHCOUNTS 803:3 February 685:References 433:1983–1999 364:1950–1951 216:newspapers 183:references 125:newspapers 50:improve it 608:× 576:× 564:× 549:(AIME). 422:1974–1982 397:1968–1972 386:1960–1967 378:1952–1959 359:Comments 95:talk page 56:talk page 794:Archived 641:See also 699:"AMC 8" 657:(USAMO) 499:Ranking 417:  339:History 335:(MOP). 230:scholar 139:scholar 980:SLMath 929:AMATYC 649:(AIME) 515:Awards 350:Years 232:  225:  218:  211:  203:  141:  134:  127:  120:  112:  1021:USAMO 985:SAMSI 960:ICERM 797:(PDF) 786:(PDF) 673:(IMO) 665:(MOP) 585:145.5 481:AMC 8 408:1973 353:Name 237:JSTOR 223:books 146:JSTOR 132:books 18:AHSME 1016:AIME 970:IPAM 924:SIAM 805:2021 769:2020 732:2020 707:2020 443:AIME 286:The 209:news 118:news 1026:MOP 1011:AMC 975:MBI 965:IMA 955:IAS 950:AIM 934:AWM 919:MAA 914:AMS 617:150 573:1.5 460:25 439:30 292:AMC 185:to 101:by 1053:: 792:. 788:. 740:^ 715:^ 605:25 561:24 425:30 414:35 400:35 389:40 370:50 196:. 59:. 894:e 887:t 880:v 847:. 833:. 807:. 771:. 734:. 709:. 614:= 611:6 582:= 579:1 570:+ 567:6 290:( 277:) 271:( 259:) 253:( 248:) 244:( 234:· 227:· 220:· 213:· 190:. 157:) 153:( 143:· 136:· 129:· 122:· 105:. 91:. 66:) 62:( 20:)

Index

AHSME
improve it
talk page
Learn how and when to remove these messages

single source
talk page
improve this article
introducing citations to additional sources
"American Mathematics Competitions"
news
newspapers
books
scholar
JSTOR

references
primary sources
secondary or tertiary sources
"American Mathematics Competitions"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message
Learn how and when to remove this message
mathematics
Mathematical Association of America
International Mathematical Olympiad

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.