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

Out-of-state Academic Merit Scholarships
Total Worth: $2,000- $8,000
Eligibility: $2,000- $8,000
Minimum Criteria: Accredited High School Unweighted GPA 3.0+
Separate application needed: No

In-state Academic Merit Scholarships
Total Worth: $1,000-$4,000
Eligibility: $1,000-$4,000
Minimum Criteria: Accredited High School Unweighted GPA 3.0+
Separate application needed: No

Boise Centennial Rotary Scholarship
Minimum Criteria: 3.0 GPA; full time enrollment

University of Idaho provides aids at an average of 13930 per student meeting 80% of students need. 99% of students with need receive financial aid at an average of 4537 need-based grant. They also provide other scholarships including United States Army ROTC and Adams-Woodward Memorial.