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

Kenyon Full and Half Tuition Scholarships
Total Worth: Full/Half Tuition
Eligibility: Full/Half Tuition
Requirement for maintenance: Maintain a cumulative grade point average of 3.00 and complete four academic units annually
Separate application needed: no

Kenyon Honor, Science, and Trustee Opportunity Scholarship
Total Worth: 25,000 per year
Eligibility: 25,000 per year
Requirement for maintenance: Maintain a cumulative grade point average of 3.00 and complete four academic units annually
Separate application needed: no

Distinguished Academic Scholarships
Total Worth: 15,000 per year
Eligibility: 15,000 per year
Requirement for maintenance: Maintain a cumulative grade point average of 3.00 and complete four academic units annually
Separate application needed: no

Kenyon College provides aids at an average of 45461 per student meeting 100% of students need. 100% of students with need receive financial aid at an average of 43736 need-based grant. They also provide other scholarships including Austin E. Knowlton Memorial Scholarship and Private Scholarships.