Yeah, Claremont McKenna College does provide scholarships based on merit. Here are some of them:

McKenna Achievement Awards
Total Worth: $10,000 per year
Eligibility: $10,000 per year
Application deadline: December 1

McKenna Scholars
Total Worth: $15,000 merit per year
Eligibility: $15,000 merit per year
Minimum Criteria: Exceptional academic and personal achievements

Seaver Scholars
Total Worth: Full tuition
Eligibility: Full tuition
Minimum Criteria: Exceptional academic and personal achievements

Claremont McKenna College provides aids at an average of 51688 per student meeting 100% of students need. 100% of students with need receive financial aid at an average of 49208 need-based grant.