PURPLE COMET! MATH MEET April 2014 MIDDLE SCHOOL - PROBLEMS Copyright ? Titu Andreescu and Jonathan Kane Problem 1 Problem 2 Problem 3 The cross below is made up of five congruent squares. The peri...
PURPLE COMET! MATH MEET April 2017 HIGH SCHOOL - PROBLEMS Copyright Titu Andreescu and Jonathan Kane Problem 1 Paul starts at 1 and counts by threes: 1, 4, 7, 10, . . . . At the same time and at th...
PURPLE COMET! MATH MEET April 2013 MIDDLE SCHOOL - PROBLEMS Copyright ?Titu Andreescu and Jonathan Kane Problem 1 The diagram shows two congruent isosceles triangles in a 20 × 20 square which has b...
PURPLE COMET! MATH MEET April 2016 HIGH SCHOOL - PROBLEMS Copyright Titu Andreescu and Jonathan Kane Problem 1 Two integers have a sum of 2016 and a difffference of 500. Find the larger of the two ...