MANHATTAN, Kan. (AP) -- David Hoskins scored 20 points and Kansas State used a big second-half run to beat Iowa State 65-47 on Saturday, giving the Wildcats a much-needed shot of momentum heading into Monday's rematch with No. 9 Kansas.
Cartier Martin added 17 points for Kansas State (19-8, 8-4 Big 12), including two 3-pointers during the decisive 22-6 spurt, which broke a 22-all tie and gave the Wildcats their first series sweep of the Cyclones since 1999.
Iowa State (13-13, 4-8) tied the game a minute out of halftime on a short jumper by Wesley Johnson, but the Cyclones did not hit another field goal for nearly six minutes as Hoskins and Martin scored on an array of drives, jumpers and standstill 3s.
At one point, the duo combined for 12 straight points as the Wildcats built a 44-28 lead.
Kansas State led by as many as 18 in the second half before Mike Taylor, the Cyclones' leading scorer, finally got on track. Just as he did in the teams' first meeting, when Taylor scored 21 points in the last eight minutes, the junior guard began pouring in 3-pointers.
Taylor cut the lead to 55-43 with just over 5 minutes left on a triple from the wing, but Kansas State guard Lance Harris answered at the other end to snuff out the Cyclones' comeback bid.
Taylor had 12 of his team-high 17 points in the second half, as Kansas State's constant pressure in the half-court forced Iowa State into season-lows for scoring and rebounding. Jiri Hubalek finished with 13 points, but was mostly silent after scoring his team's first six.
Harris finished with 13 points for Kansas State, which had lost two of its last three and sits precariously on the NCAA tournament bubble. The Wildcats have won nine of their last 11 games, including road wins against Texas, Missouri and Iowa State.
But Kansas State's postseason chances could get much better if it can beat the rival Jayhawks at Bramlage Coliseum, something that has never happened since the building opened for the 1988-89 season. Kansas has won 33 of the last 34 in the series, including a 97-70 romp earlier this season at Allen Fieldhouse.
Kansas State coach Bob Huggins had warned his team not to look ahead, though, and it looked for a while as if they had paid little attention.
The first half was equal parts sloppy and scrappy, as the Cyclones and Wildcats combined for 21 turnovers, a plethora of offensive fouls and each endured long stretches without a field goal.
Kansas State missed 11 of its first 14 shots and trailed 14-9 with about 8 minutes left in the half, before it was Iowa State's turn for ineptitude. The Cyclones went 6:06 without a field goal, and after Hoskins gave the Wildcats a 15-14 lead with 5:43 to go, they would not trail again the rest of the way.