The contests are available as pdf files on this page. It takes them t hours to do the job, but because they take an hour for lunch, they work for only t. American mathematics competitions amc 10, 20002007 contests. Usa amc 10 2012 a 1 cagney can frost a cupcake every 20 seconds and lacey can frost a cupcake every 30. The amc 10 is for students in 10th grade and below, and covers the high.
Practice math contests zoom international math league. You may practice more than once, and each attempt features new problems. Please use the drop down menu below to find the public statistical data available from the amc contests. The best way to prepare for the amc 10 is to do lots of practice problems. The best way to prepare for the amc 10 is to do lots of practice problems either on your own or with a small group and then check your solutions with an answer key. Students who score 120 or above or finish in the top 1% on this amc 10 will be invited to take the 26th annual american invitational mathematics examination aime on tuesday, march 18, 2008 or wednesday, april 2, 2008. The rest contain each individual problem and its solution. The first link contains the full set of test problems. Amc 10 2001 adapt a cone is made from a sector of a circle. For this reason, we provided all 35 sets of previous official amc 10 contests 20002017 with answer keys and also developed 20 sets of amc 10 mock test with detailed solutions to help you prepare for this premier contest. When more than one solution is provided, this is done to illustrate a significant contrast in methods, e. The aops folks often call this problem type bars and stars.
Amc 10b 2002 noting that, for how many values of is a prime number. Mathematical association of america american mathematics. Amc 1012 practice 29 january 2015 1 introduction you are probably familiar with the fact that the amc 1012 are 25 question, 75 minute contests. Dissemination via copier, telephone, email, internet or media of any type during this period is a violation of the competition rules. You will receive 6 points for each correct answer, 1. First, download and read the 2020 amc 10 and amc 12 teachers manual for more. The american mathematics competitions amc are the first of a series of competitions in. The mathematical association of america american mathematics.
Your principal or viceprincipal must verify on the amc 8 certification form that you followed all rules associated with the conduct of the exam. Amc 10b registration cum purchase of contest resources fee qty 1. The case x 4 shows that x is not necessarily a multiple of 3 and that none of the other statements must be true. Amc 10 2001 the sides of a triangle are 15, 20 and 25. Our online amc 10 problem series course has been instrumental preparation for thousands of top amc 10 scorers over the past decade. In one hour doug can paint 1 5 of the room, and dave can paint 1 7 of the room. Players a, b, and c start with 15, 14, and tokens, respectively. The problems and solutions for this amc 10 were prepared by the maas committee on the amc 10 and amc 12 under the direction of amc 10 subcommittee chair. This year, the acontest will be held 232015 and the bcontest 2252015. Amc 81012aime problems and answers ivy league education. Students who perform well on the amc 10 or amc 12 competitions are invited. Amc 10 state college area school district state college area. Im imequal feale 2008 10b, item difficulty, aimequal unknown gender mathematical association of america american mathematics competitions.
General results this summary includes a listing of the results and awards associated with the 24th annual amc 8, which was held on tuesday, november 18, 2008. Jan 31 splitting to mars paul ellis begins march 4, see below. Check the blackened circles for accuracy and erase errors and stray marks completely. Five married couples are to sit in the chairs with men and women. Amc 10 problems and solutions art of problem solving. Usa amc 10 2008 a 1 a bakery owner turns on his doughnut machine. Each question is followed by answers marked a, b, c, d, and e. Nothing is needed from inside this package until november 18. Amc 10 2008 a 75 b 80 c 85 d 90 e 95 michael walks at the rate of 5 feet per second on a long straight path. Feb 7, 2018 correspondence about the problemssolutions for this amc 10 and orders for maas subcommittee on the amc10amc12 exams, under the 2018, amc 10a amc 10b. The answer forms must be mailed first class to the amc office no later. Jamal wants to store 30 computer files on disks, each of which has a capac ity of 1. Junior mathematical olympiad usajmo, which follows the same format. Rachel runs counterclockwise and completes a lap every 90 seconds, and robert runs clockwise and completes a lap every 80 seconds.
Please note that the 2009 amc 8 will be held on tuesday, november 17, 2009. Topscoring students on the amc 1012aime will be selected to take the usa mathematical olympiad usamo in late spring. Aime on tuesday,march 18, 2008 or wednesday,april 2, 2008. Selection file type icon file name description size revision time user. Amc 10a 2010key amc 10a 2010 competition problemskey.
Only answers properly marked on the answer form will be graded. Solutions 2008 9thamc 10 a 2 solutions 2008 amc 10 a 3 is an integer, x must be even. Dissemination via copier, telephone, email, world wide web or media of any type during this period is a violation of the competition rules. These mock contests are similar in difficulty to the real contests, and include randomly selected problems from the real contests. Mock amc series contests for the amc 8, amc 10, amc 12, and aime. A garbage truck travels at 10 feet per second in the same direction as michael and stops for 30 seconds at each pail. Annual american mathematics contest 10 amc 10 contest a. However, it turned out that these press releases were filled with false and misleading information. Amc a the proles i the amc series cotests are opyrighted y aeri a matheais copeiios at matheaial assoiaio of aeri a a a. Wednesday, february 27, 2008 9th annual american mathematics contest 10 amc 10 contest b the mathematical association of america american mathematics competitions 1. More details about the aime and other information are on the back page of this test booklet. Amc 10 contest a solutions pamphlet tuesday, february 12, 2008 this pamphlet gives at least one solution for each problem on this years contest and shows that all problems can be solved without the use of a calculator.
The best way to prepare for the aime and usamo is to study previous years of these exams. The best way to prepare for the aime and usamo is to study previous exams. Students who score 100 or above or finish in the top 5% on this amc 12 will be invited to take the 26th annual american invitational mathematics examination aime on tuesday, march 18, 2008 or wednesday, april 2, 2008. A game is played with tokens according to the following rule. Topscoring students on the amc 1012aime will be selected to take the usa mathematical olympiad usamo on april 19 and 20, 2005. State statistics for the 2008 amc 10a amc 12a and amc10b amc 12b. In each round, the player with the most tokens gives one token to each of the other players and also places one token into a discard pile. The mission of the wappingers central school district is to empower all of our students with the competencies and confidence to challenge themselves, to pursue their passions, and to realize their potential while growing as responsible members of their community. Im qual females 2008 10a, item difficulty, aimequal unknown gender 9 0 2 4 7 0 9 0 5 3 0 9 0 0 9 0 0 0 0 3 5 8 0 9 9 0 0 0 a 125 students percent of responses 240 students im imequal feale 2008 10b, item difficulty, aimequal unknown gender mathematical association of america american mathematics competitions. Alternately, you must be in the top 5% of the amc 12.