While at Klein High School in Texas, Matt was considered one of the best high school pitchers in baseball. His junior year was his best as he went 12-1 with a 0.37 ERA. In his senior season he went 4-2 with a 1.18 ERA. His parents were known for driving many miles just to take him to one of his baseball games. He also carried a 4.5 GPA. He came out as a flamethrower throwing an average of 92 MPH and was drafted in the first round (14 overall) by the Texas Rangers in the 2009 MLB Draft but did not sign.
Purke chose TCU to play college baseball. While there, he earned 2nd Team All American as a Freshman, and was named the Freshman of the year while going 16-0 with a 3.02 ERA. His sophomore year he went 5-1 with a 1.71 ERA in 11 starts. The next year he was drafted in the 3rd Round of the 2011 MLB Draft and opted to sign on an MLB Contract.