Yeah, Roger Williams University does provide scholarships based on merit. Here are some of them:

New Student Awards
Total Worth: $4,000 to $20,000
Eligibility: $4,000 to $20,000
Minimum Criteria: Based upon academic achievements
Separate application needed: No

Harold Payson Memorial Scholarship
Total Worth: full-tuition scholarship
Eligibility: full-tuition scholarship
Minimum Criteria: based on academic achievement and community service
Application deadline: February 1

Michael Andrade Memorial Scholarship
Total Worth: full tuition and fees scholarship
Eligibility: full tuition and fees scholarship
Minimum Criteria: B average and has a total SAT score of at least 1080 on the redesigned SAT (or a combined Math and Critical Reading SAT score of a least 1000 on the old SAT.) Or, accordingly has at least a 21 composite score on the ACT
Application deadline: February 1

Roger Williams University provides aids at an average of 19985 per student meeting 84% of students need. 99% of students with need receive financial aid at an average of 14297 need-based grant. They also provide other scholarships including The Ceasar Brito Memorial Scholarship and Dr. George A. Ficorilli Professor Emeritus Endowed Scholarship.