Pursue (6-1) extended its ACC/Big Ten Challenge winning streak to six and defeated the Wolfpack (6-1) for the first time in five meetings.
Freshman Vince Edwards led the Boilermakers with 16 points. Freshman center Isaac Haas added 13.
Kyle Washington came off the bench to lead North Carolina State with 17 points, and Trevor Lacey added 15, although he missed the front end of a one-and-one with 13.6 seconds to play that could have cut the deficit to 64-63 had he made both.
The Boilermakers grabbed a 51-48 lead with 11:46 remaining on a Haas dunk, but North Carolina State pulled even at 54 on a Washington field goal with 8:04 to play.
Another Washington basket at 7:22 gave the Wolfpack a 56-54 lead, but a Kendall Stephens basket and free throw gave the Boilermakers a 57-56 advantage at the 5:46 mark.
Purdue pushed its lead to 62-56 with 4:54 to play on two Haas free throws and a clutch 3-pointer from freshman point guard P.J. Thompson, prompting a Wolfpack timeout.
Lacey's 3-pointer with 3:52 to go pulled North Carolina State within 62-59. He hit again moments later to pull within one at 62-61.
Purdue led by as many as nine during the first half, settling for a 36-34 lead at intermission when the Wolfpack closed the first 20 minutes on a 10-3 run, limiting the Boilermakers to an Edwards 3-pointer during the final 5:11.
Edwards had 13 during the first 20 minutes for the Boilermakers, making 5 of 6 field goal attempts, including 2 of 2 from beyond the arc. Hammons, Haas and Mathias each added six for Purdue in the opening half.
Washington came off the bench to score eight for North Carolina State in 12 first-half minutes. The Wolfpack was able to cut into the Purdue lead by sinking 10 of 11 from the free throw line before intermission.
Purdue enjoyed a 17-14 rebounding advantage through the first 20 minutes.
Purdue: The Boilermakers played with backup point guard Bryson Scott, who suffered an ankle sprain during practice. Tuesday was the 47th anniversary of the opening game played in Mackey Arena, a 2-point UCLA victory against the Boilermakers. Former Purdue All-American guard John Wooden coached that great UCLA team. Purdue has won three in a row since losing to Kansas State in the Maui Invitational's opening round.
North Carolina State: The Wolfpack entered Tuesday's game 6-8 in the ACC/Big Ten Challenge but 2-0 against Purdue, once each in Raleigh and West Lafayette. Before playing Purdue, the Wolfpack were out scoring their opponents by 18.4 points a game. Tuesday's game was North Carolina State's first this season on an opponent's court.