Kansas State's Ben Leber takes down Kansas' Moran Norris during the 52-13 romp.(AP)

Beasley, who came into the game with a nation-leading 186.6 passer rating, ran for 33 yards and hit 12-of-18 passes for 235 and one TD, giving way to backup El Roberson after Kansas State's first possession of the second half. Beasley has thrown 86 passes without an interception.

"I'm just trying to get better each week," said Beasley, 17-1 as a starting quarterback. "I'm able to get things going. I'm able to make adjustments in the second half. It's just a matter of going out and executing."

His fourth touchdown, on a 2-yard run with 4:04 left in the third quarter, put the Wildcats on top 45-6 en route to their 35th victory in 36 regular-season games.

"Beasley makes the calls and adjusts to our defense. He does that really well," Kansas nose tackle Nate Dwyer said. "It seemed like he was one step a head of us."

The Wildcats assured themselves of an eighth straight victory over Kansas (2-3, 0-2) by scoring five touchdowns and a field goal to take a 38-0 halftime lead. They were aided by a fumble, an interception, a muffed kick and a 13-yard Kansas punt.

"It's hard to say anything positive when it's 38-0 at half," Allen said. "We didn't play well in any facet to give anybody a positive kudo. They had their way with us offensively, defensively and special teams in the first half."

Kansas quarterback Dylen Smith, after being temporarily knocked out of the game in the first quarter, scored on a 1-yard run early in the third period and added a 5-yard run with 5:09 left.

Kansas' Harrison Hill had eight catches for 114 yards and set up the first Jayhawks score with a 30-yard completion from Smith.

The Jayhawks had a few anxious minutes in the second half when running back David Winbush went down. Nobody in the stands or the press box knew he'd been hit in the throat and was having trouble breathing.

"The ball came down and got him in the throat. He had a very difficult time getting his breath," Allen said. "He was able to calm down enough and get some air and should be OK. It's a scary moment out there when a guy can't get air."

Mario Fatafehi recovered Smith's fumble on Kansas' first possession and Josh Scobey quickly scored on a 3-yard run. It was the sixth straight game the Wildcats have scored a touchdown on their initial possession.

Joey Pelfanio's 13-yard punt put Kansas State in business on the Kansas 20 a few minutes later and Beasley scored on a 4-yard run.

After hitting Aaron Lockett on a 29-yard gainer a few minutes later, Beasley made it 21-0 with a twisting, darting 15-yard run. Andy Klocke recovered the ball when the Jayhawks mishandled the ensuing kickoff and the Wildcats zipped 30 yards in three plays, with Beasley running it in from the 1.

After Jerametrius Butler intercepted Smith's pass in the final minutes of the second quarter, Quincy Morgan took Beasley's short pass, cut back to his right and went 22 yards for Kansas State's fifth touchdown.

Jamie Rheem kicked a 35-yard field goal as time expired in the first half after Beasley got him into position by hitting three straight passes for gains of 19, 30 and 18 yards.

Roberson's 32-yard run set up Scobey's 2-yard touchdown with 9:55 remaining.