Kansas State (10-2, 6-2 Big 12 North) reached 10 wins for the seventh time in school history. The Wildcats have done it six times in the last eight seasons under coach Bill Snyder.
Missouri's Brad Smith, meanwhile, became the second player in NCAA history to pass for 2,000 yards and rush for 1,000 in the same season. But he was unable to generate enough offense to give the Tigers a chance.
The Tigers needed a sixth win to become bowl-eligible but managed just 191 total yards and were shut out for the first time since a 66-0 loss to Kansas State in the final game of the 1999 season.
Kansas State can gain a share of the Big 12 North title if Colorado loses next week at Nebraska. But the Buffaloes are headed to the conference championship game no matter what.
Smith, a freshman, was outplayed by Ell Roberson, who passed for 244 yards and a touchdown and ran for 71 yards to help the Wildcats to their 10th straight win in the series.