Mount St. Mary's shot just 31 percent (19 of 61) from the floor. BK Ashe scored 11 of his 18 points in the first half, and Will Miller finished with 10 points.
Beginning a season full of high hopes, the Terrapins shook off a sluggish start and put on an exciting show for the sellout crowd with several dunks and clutch 3-pointers.
The pesky Mountaineers closed to 49-40 on Ashe's 3-pointer with 15:59 left, forcing Maryland to call a timeout. The Terrapins responded with a dunk by Michal Cekovsky, a 3-pointer by Nickens and another jumper by Rasheed Sulaimon.
A 3-pointer by Layman and a layup for Trimble, the preseason Big Ten Player of the Year, boosted the margin to 61-41 midway through the second half. Maryland was never threatened the rest of the way, and an alley-oop from Jaylen Brantley to Layman set off another raucous celebration.
The Mountaineers got just seven points from their reserves.
Mount St. Mary's stayed right with Maryland early on. Charles Glover's 3-pointer got the Mountaineers within six with 1:15 left in the first half, but two free throws by Damonte Dodd and a 3-pointer by Layman helped the Terrapins to a 43-34 lead at the break.