The Terrapins (9-1) led 14-12 before using a 21-2 run to go up by 21. Maryland connected on five consecutive three-pointers during the surge, including two apiece by Layman and freshman Jared Nickens. Layman has posted double-digit scoring in all 10 games for Maryland this season.
NCCU (6-4) made only two field goals in the final 11 minutes of the first half and trailed 39-18 at the break.
“To be up 21 on this team at the half is an amazing feat,” head coach Mark Turgeon said. “I was really proud of that. The second half, we just treaded water.”
The Eagles outscored Maryland 38-28 after halftime but never threatened to make it close. It was 54-39 with just under nine minutes left before Layman drilled a three-pointer from the right corner to erase any doubt.
“In the end, it’s a great win for us,” Turgeon said.
The Terrapins have won two in a row following their lone defeat, at home against top 10-foe Virginia a week ago.
“We just keep getting it done, and we keep getting better,” Turgeon said. “The second half probably wasn’t a lot of fun to watch but it was a nice little clinic we put on there for a while. When we get our defense going, we’re really pretty good.”
Jordan Parks had 18 points and 10 rebounds for the Eagles, whose five-game winning streak ended. NCCU shot 38 percent from the floor and went 5-for-21 from beyond the arc.
NCCU led 7-6 early and was tied at 10 with eight minutes elapsed. Soon after that, Maryland took control.
After 7-foot-1 center Michal Cekovsky scored on a drive, three-pointers by Pack and Layman gave the Terrapins a double-digit lead. Nickens then buried consecutive three-pointers to make it 28-12, and after Dante Holmes made a layup for NCCU, Layman knocked down a another three-pointer to spark a 7-0 spurt.
“Our offense was running smoothly,” Layman said, “and we hit some tough shots.”
Pack, who has scored in double figures in each of the last four contests, is averaging 16.5 points over that span.
Maryland returns to action on Saturday when it welcomes USC Upstate to XFINITY Center for an 11 a.m. tilt.