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COLUMBIA, Missouri (Ticker) -- Brad Smith made history before Kansas State made history of Missouri's bowl hopes.

Smith became the second player in NCAA history to pass for 2,000 yards and rush for 1,000 in the same season but accomplished little else against the 10th-ranked Wildcats, who coasted to a 38-0 Big 12 Conference rout of Missouri.

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.

"We just struggled all day on offense. We just could not come out of it," Missouri coach Gary Pinkel said. "I'm responsible for that. I knew they were a great defensive team and people have been struggling against them. We tried everything we could and we just couldn't get out of our own half of the field."

Darren Sproles rushed for 116 yards and a score and Taco Wallace caught touchdown passes from two different quarterbacks as the Wildcats (10-2, 6-2 Big 12 North) reached 10 wins for the seventh time in school history. They have done it six times in the last eight seasons under coach Bill Snyder.

"All or 99 percent of these guys were here for last year, and that was a 6-6 football team. And it's my feeling that they have learned a valuable lesson," Snyder said. "Something I share with them quite frequently, my philosophy, is that the only real losers in life are those that don't learn from mistakes."

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.

"I just want to play in a bowl game," Wallace said. "We're going to a bowl, it doesn't matter."

Smith, a redshirt 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.

"We can pass the ball, we can run the ball," Roberson said. "We're starting to even out a little bit with the passing game and the running game, and that's something that we've been striving for since the first game of the season."

Smith reached his milestone with a three-yard carry early in the first quarter, joining Clemson's Woody Dantzler as the only 2,000-1,000 players in NCAA history.

"It's been a lot for my first year," Smith said. "There's been some good things and some things we need to work on, and as a team, I think it's been a good year."

Smith struggled thereafter, completing just 7-of-24 passes for 126 yards with an interception and carrying 13 times for 30 yards.

"They did a great job," he said of a Kansas State defenseman that recorded its third shutout of the season. "They called the right calls and made the right plays."

The Wildcats got on the board 44 seconds into the game when Terence Newman returned a punt 71 yards for a touchdown.

"Starting the game off with a punt return for a touchdown certainly isn't the best way to handle that," Pinkel admitted.

Joe Rheem kicked a 32-yard field goal and Sproles' 12-yard run extended Kansas State's lead to 17-0 at halftime. Sproles carried 25 times en route to his eighth straight 100-yard effort. He became the school's all-time single-season rushing leader with 1,347 yards, breaking Josh Scobey's record.

The Wildcats took the second-half kickoff and marched 82 yards, with Ayo Saba going in from the 3-yard line to make it 24-0.

Wallace grabbed a 23-yard TD pass from Roberson in the final minute of the third quarter and a 46-yarder from Marc Dunn midway through the fourth to cap the scoring.

Dunn was 1-of-2 for 46 yards for Kansas State, which rolled up 553 total yards and has not lost to Missouri since 1992.