John Hubert rushed for 157 yards and a touchdown on 23 carries for Kansas State (5-4, 3-3 Big 12).
The Wildcats gained 291 yards on the ground to 105 for Texas Tech (7-3, 4-3).
Freshman quarterback Davis Webb completed 13-of-20 passes for 77 yards for Texas Tech, before being replaced in the second quarter by Baker Mayfield, who threw for 265 yards and a TD but also turned the ball over three times.
Kansas State led 35-10 at halftime and scored 14 points in the fourth quarter on a 1-yard TD run by Sams and a 43-yard interception return by Tyler Zimmerman.
The victory made Wildcats Coach Bill Snyder the 11th coach in FBS history to win 175 games with the same school.
Celebrity Families of 2014 [PHOTOS]