Kirk Cousins threw three touchdowns and ran for the game-winning score with 4:32 left as No. 11 Michigan State kept its Big Ten title dream afloat by rallying for a 35-31 victory over Purdue on Saturday.

Chris Norman’s interception of Rob Henry set up Cousins’ 3-yard score that put the Spartans ahead for good. Michigan State outscored Purdue 22-3 in the final quarter.

Mark Dell caught a pair of touchdowns for the Spartans (10-1, 6-1 Big Ten), who kept their hopes of winning the Big Ten outright for the first time since 1988 by overcoming a 15-point second-half deficit.

Michigan State trailed 28-13 after three quarters, but Cousins began the comeback by hitting B.J. Cunningham for a 5-yard score with 10:55 left in the fourth. He then capped a 7-play, 69-yard drive with a 9-yard score to Dell that made it 31-28 with 6:54 left.

Cousins finished 28 of 37 for 276 yards and an interception.

Henry was 16 of 26 for 189 yards and two touchdown and two interceptions for the Boilermakers (4-7, 2-5), who have lost five straight.