The countdown round is often the most anticipated and exciting part of competition for Mathletes® and spectators alike. Here are some of our favorite countdown round problems from the 2019 competitions
School #16 On a certain farm, each chicken has two feet and each rabbit has four feet. If the combined number of chickens and rabbits on the farm is 100 and there are a total of 260 feet on these animals, how many chickens are there?
Chapter #59 Seven consecutive even integers have a sum of 406. What is the sum of the least and the greatest of the seven integers?
State #43 Scott is thinking of a positive integer that is one more than, or one less than a multiple of 4. Quincy is thinking of an integer that is one more than, or one less than a multiple of 10. Stella is thinking of an integer with an even number of positive integer divisors. If all three are thinking of the same integer n, what is the least possible value of n?
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