PURPLE COMET MATH MEET April 2012 HIGH SCHOOL - PROBLEMS Copyright Titu Andreescu and Jonathan Kane Problem 1 Last month a pet store sold three times as many cats as dogs. If the store had sold the...
PURPLE COMET MATH MEET April 2011 HIGH SCHOOL - PROBLEMS Copyright ?Titu Andreescu and Jonathan Kane Problem 1 The ratio of 3 to the positive number n is the same as the ratio of n to 192. Find n. ...
PURPLE COMET MATH MEET April 2010 HIGH SCHOOL - PROBLEMS Copyright Titu Andreescu and Jonathan Kane Problem 1 Let x satisfy (6x + 7) + (8x + 9) = (10 + 11x) + (12 + 13x). There are relatively prime...
PURPLE COMET MATH MEET April 2009 HIGH SCHOOL - PROBLEMS Copyright Titu Andreescu and Jonathan Kane Problem 1 In fifive years, Tom will be twice as old as Cindy. Thirteen years ago, Tom was three t...
PURPLE COMET MATH MEET– April 2008 HIGH SCHOOL – PROBLEMS ? Copyright Titu Andreescu and Jonathan Kane Problem 1 What is the least positive integer with the property that the product of its digits ...
PURPLE COMET MATH MEET– April 2007 HIGH SCHOOL – PROBLEMS ? Copyright Titu Andreescu and Jonathan Kane Problem 1 The sum of nine consecutive odd numbers is 2007. Find the greatest of these nine num...