James Michael McAdoo added 19 points and 11 rebounds for the Tar Heels (12-5, 2-2 Atlantic Coast Conference), who turned in a dominating first-half performance to build a 22-point lead at the break.
Maryland (14-4, 2-3) never fully recovered from that mistake-filled first half and never got the lead below double figures after halftime, even after North Carolina slowed down.
Dez Wells scored 21 points to lead the Terrapins.
VIRGINIA TECH 66, WAKE FOREST 65
In Blacksburg, Va., Robert Brown made a short jumper with 12.3 seconds left to lift Virginia Tech (11-6, 2-2 ACC) over Wake Forest (9-8, 2-3).
Brown, who previously made one of his last 10 shots, had the ball with the shot clock winding down before driving into the lane for the score and getting fouled. He missed the free throw.
Erick Green, the nation’s leading scorer at 24.8 points per game heading into the contest, scored 18 of his 22 points in the second half for Virginia Tech.
Travis McKie had 20 points and 15 rebounds for Wake Forest.
VIRGINIA 56, FLORIDA STATE 36
In Charlottesville, Va., Joe Harris scored 17 points and Virginia (12-5, 2-2 ACC) used a 22-4 run late in the first half and stifling defense throughout to beat Florida State (10-7, 2-2) for the first time in eight tries.
Michael Snaer scored nine points to lead Florida State.