The second link contains the answers to each problem. The amc 8 is to be administered during a convenient 40 minute period. The publication, reproduction or communication of the problems or solutions of the amc 8 during the period when students are eligible to participate seriously jeopardizes the integrity of the results. These mock contests are similar in difficulty to the real contests, and include randomly selected problems from the real contests. The number 2564 6425 is the square of a positive integer n. Check the blackened circles for accuracy and erase errors and stray marks. The answer forms must be sent by trackable mail to the amc office no later than 24 hours following the exam.
Amc 10 2002 this test and the matching amc 12p were developed for the use of a group of taiwan schools, in early january of 2002. The probability that he gets at least as many heads as tails is a 5 16 b 3 8 c 1 2 d 5 8 e 11 16 22. Anna enjoys dinner at a restaurant in washington, d. The mathematical association of america american mathematics. Thearithmeticmeanofthe ninenumbersin theset 9,99,999,9999. As the train began to pass, trey counted 6 cars in the rst 10 seconds. Check the blackened circles for accuracy and erase errors and stray marks completely. Archive of amc series contests for the amc 8, amc 10, amc 12, and aime. Prepare for math competitions such as mathcounts, american mathematics competition 1012, and arml american regions mathematics league competition. American mathematics competitions amc 10, 2000 2007 contests, compiled and edited by j. Dissemination via copier, telephone, email, world wide web or media of any type during this period is a violation of the competition rules. Practice math contests zoom international math league. The value of any combination of four coins that includes pennies cannot be a multiple of 5 cents, and the value of any combination of four coins that does not include pennies must exceed 15 cents.
Tuesday, february 12, 2002 contest a the mathematical association of america american mathematics competitions presented by the akamai foundation amc 10 3rd annual american mathematics contest 10 1. First note that the only number between 2000 and 20 that shares this property is 2002. On what day of the week will carlos be 706 days old. A circle and two distinct lines are drawn on a sheet of paper. Topromoteherschoolsannualkiteolympics, genevieve makes a small kite and a large kite for a bulletin board display. You will receive 6 points for each correct answer, 1. It is not possible to split a file onto 2 different disks. The ratio 22001 32003 62002 is a 1 6 b 1 3 c 1 2 d 2 3 e 3 2 2. Usa amc 8 20 7 trey and his mom stopped at a railroad crossing to let a train pass. Problem 1 at a movie theater, the manager announces that a free ticket will be given to the rst person in line whose birthday is the same as someone in line who has already bought a ticket. The first link contains the full set of test problems. When 1 is appended to the enlarged list, the mean of the enlarged list is decreased by 1. Wednesday, february 27, 2002 contest b the mathematical association of america american mathematics competitions presented by the akamai foundation amc 12 53rd annual american mathematics contest 12 1.
American mathematics competitions, 19952000 contests, compiled and augmented by harold b. Mock amcseries contests for the amc 8, amc 10, amc 12, and aime. Your principal or viceprincipal must verify on the amc 8 certification form that you followed all rules associated with the conduct of the exam. The publication, reproduction or communication of the problems or solutions. Similarly in her tenth game, she scored fewer than 10 points and her pointspergame average for the 10 games was also. Based on artificial intelligence ai, machine learning, and deep learning, we devised a data mining and predictive analytics tool for math problem similarity searching. 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. A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The value of any combination of four coins that includes pennies cannot be a multiple of 5 cents, and the value of any combination of four coins. Therefore the probability of choosing a unit square that does not touch the outer edge is 36 64 18 32 9 16.
Jamal wants to save 30 files onto disks, each with 1. You will be invited to participate only if you score in the top 1% of the amc 10 or receive a score of 100 or above on the amc 12. The year 2002 is a palindrome a number that reads the same from left to right as it does from right to left. If an arc of 45 on circle a has the same length as an arc of 30 on circle b, then the ratio of the area of circle a to the area of circle b is a 4 9 b 2 3 c 5 6 d 3 2 e 9 4 8. Archive of amcseries contests for the amc 8, amc 10, amc 12, and aime. Consider now the numbers in the range 1001 to 1999. What is the product of the digits of the next year after 2002 that is a palindrome. Exchange 16 red tokens 0 10 99 exchange 9 blue tokens 3 1 102 exchange 2 red tokens 1 2 103 18. Wednesday, february 27, 2002 contest b the mathematical association of america american mathematics competitions presented by the akamai foundation amc 10 3rd annual american mathematics contest 10 1. 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. A 2 divides n b 3 divides n c 6 divides n d 7 divides n e n 84 suppose july of year n has five mondays.
Duplication at any time via copier, telephone, email, world wide web or media of any type is a violation of the law. Solution problem 2 paul owes paula 35 cents and has a pocket full of 5cent coins, 10 cent coins, and 25cent coins that he. When more than one solution is provided, this is done to illustrate a significant contrast in methods. Leah has 7 pennies and 6 nickels, which are worth 37 cents. Only answers properly marked on the answer form will be graded. Mock amc series contests for the amc 8, amc 10, amc 12, and aime. Using this powerful tool, we examined the types, styles, frequencies, characteristics, and traits of questions in all past amc 12 exams, and. The aime is a 15 question exam which takes 3 hours in which each answer is an integer number from 0999. It took the train 2 minutes and 45 seconds to clear the crossing at a constant speed. Amc 12 contest a solutions pamphlet tuesday, february 12, 2002 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. There is exactly 1 number, 1001, that shares the property when the units digits is 1. She leaves a 15% tip on the price of her meal before the sales tax is added, and the tax is calculated on. Register now and let us know what questions you have and want answered.
Dissemination via copier, telephone, email, internet or media of any type during this period is a violation of the competition. For her small kite genevieve draws the kite on a oneinch grid. When your proctor gives the signal, begin working the problems. Problem 3 isaac has written down one integer two times and another integer three times. Problem 2 marie does three equally timeconsuming tasks in a row without taking breaks. In her ninth game, she scored fewer than 10 points and her pointspergame average for the nine games was an integer. Which of the following was the most likely number of cars in the train. The mathematical association of america american mathematics competitions presented by the akamai foundation. You may practice more than once, and each attempt features new problems. The ratio 248 482 equals a 1 4 b 1 2 c 1 d 2 e 8 2. Carlos montado was born on saturday, november 9, 2002.
The difference between the aime and the amc 10 and amc 12 is that all the problems in the latter can be solved by precalculus methods. The rest contain each individual problem and its solution. Solution problem 2 paul owes paula 35 cents and has a pocket full of 5cent coins, 10cent coins, and 25cent coins that he. She leaves a 15% tip on the price of her meal before the sales.
Dissemination at any time via copier, telephone, email, internet or media of any type is a violation of the competition rules. In decimal representation, the sum of the digits of n is a 7 b 14 c 21 d 28 e 35 15. 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 you finish the exam, sign your name in the space provided on the answer form. View test prep 2000 amc 10 from amc 10 at anna maria college. We provided 35 sets of past real amc 12 tests 20002017 with answer keys and also developed 20 sets of amc 12 mock test with detailed solutions to help students prepare for the amc 12 contest. The publication, reproduction or communication of the problems or solutions of this test during the period when students are eligible to participate seriously jeopardizes the integrity of the results. The cone has diameter 10 and altitude 12, and the axes of the cylinder and cone coincide. This is a twentyfivequestion, multiple choice test. A 8 3 b 30 11 c 3 d 25 8 e 7 2 v 24 w 18 x y 25 z 21 22.
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