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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