Yeah, Notre Dame of Maryland University does provide scholarships based on merit. Here are some of them:

Presidential Scholarships
Total Worth: Up to Full Tuition
Eligibility: Up to Full Tuition
Minimum Criteria: 3.7 grade point average and SAT score of 1350 or higher
Requirement for maintenance: Minimum 2.5 Cumulative GPA
Separate application needed: No

Knott Scholarships
Total Worth: Up to Full Tuition
Eligibility: Up to Full Tuition
Requirement for maintenance: Minimum 2.5 Cumulative GPA
Separate application needed: No

Academic Merit Scholarships
Total Worth: $17,000-$24,000
Eligibility: $17,000-$24,000
Minimum Criteria: 3.0 grade point average and higher and SAT score of 1050 or higher and Strong co-curricular involvement and high class ranking
Requirement for maintenance: Minimum 2.5 Cumulative GPA
Separate application needed: No

Notre Dame of Maryland University provides aids at an average of 28928 per student meeting 67% of students need. 100% of students with need receive financial aid at an average of 25593 need-based grant. They also provide other scholarships including Art Competition.