Washington State (3-3) led 23-16 at halftime and started the second half on a 9-0 run.
Woolridge and Mike Ladd hit back-to-back 3-pointers to spark a 17-2 run to put the game out of reach at 56-28. The Cougars missed only two shots during the stretch. Woolridge finished the game with four of Washington State's eight 3-pointers.
The Golden Lions were only 6 of 26 (23.1 percent) from the field in the first half, 15-50 (30 percent) for the game. Washington State ended the game 23-48 from the field (47.9 percent).
Terrell Kennedy led Arkansas-Pine Bluff with nine points.
This was the fifth of 11 games on the road for the Golden Lions (1-4). They don't play a home game until January.
Mississippi State freshman guard Malik Newman will withdraw from the NBA draft, but sources told ESPN he might explore other opportunities besides returning to Mississippi State.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.
Washington State's trio of Josh Hawkinson, Conor Clifford and Ike Iroegbu have withdrawn from the NBA draft and will play their senior season with the Cougars.