With undergraduate tuition alone pushing $60,000 at America’s most expensive schools, going to college can feel increasingly out of reach for students and families.

However with financial aid that includes grants and scholarships, there are ways to help make the bill more manageable. In fact, many of the nation’s most expensive institutions are also the ones granting the most robust financial aid packages.

Sixty-six of the 1,388 schools ranked by U.S. News & World Report self-report meeting the demonstrated need for admitted freshmen. Through a combination of scholarships, grants, work-study and federal student loans, each fills the gap between the cost of attendance (inclusive of tuition, fees, room, board and other expenses) and a student’s expected family contribution (EFC). Knowing this, you can get a pretty good idea of what to expect from a college once you complete the Free Application for Federal Student Aid (FAFSA®) and receive your EFC. But it’s important to keep in mind that all schools calculate demonstrated need differently, so your offers may vary.

From an average package of $17,988 at University of North Carolina at Chapel Hill to one of $48,885 at Williams College, the following six schools offer generous need-based financial aid.

1. If You Want the Full Liberal Arts Experience: Williams College

If a picturesque New England school is your ideal, you’ll want to consider U.S. News & World Report’s top-ranking liberal arts college – Williams College. Fifty percent of its students receive need-based aid, and the average award for undergrads totals $48,885, bringing its $53,550 tuition down significantly.

2. If Football Season Is the Only Season: Notre Dame University

If you plan to spend as much time in the stands as you will in the stacks, Notre Dame may already be on your list. To offset its $51,505 tuition, the university offers an average need-based scholarship or grant of $37,390 to 48 percent of its full-time undergrad students. Numbers for the full aid package, which may include work-study programs and federal loans, are not publicly available; however, the average need-based loan for freshmen was only $4,069.

3. If a STEM Major Is Definitely the Plan: California Institute of Technology

If you’re certain your future career is in engineering or technology, you’ll want to consider Caltech, which is located just outside of Los Angeles in Pasadena, California. Fifty-one percent of its undergraduates receive aid, and the average scholarship or grant is $41,901, going a long way toward its $49,908 tuition.

4. If a Big University Is the Dream: University of North Carolina at Chapel Hill

While in-state tuition — and, to a much lesser extent, out-of-state tuition — at public universities is lower than at private colleges, state schools are known for having barebones financial aid packages. The University of North Carolina at Chapel Hill,where in-state tuition totals $9,005 and out-of-state tuition is $34,588, is an exception. Forty-two percent of its undergraduates receive aid, and the average scholarship or grant is $17,988.

5. If an LGBTQ-Friendly Campus Is a Must: Bryn Mawr College

Ranked No. 1 on the Princeton Review’s list of the 20 most LGBTQ-friendly campuses, Bryn Mawr College, located in the Philadelphia suburb of Bryn Mawr, Pennsylvania, is a progressive, all-women liberal arts school that offers an average need-based award of $40,315. Tuition is $50,500, and 53 percent of its full-time undergrads receive some kind of need-based aid.

6. If You’re Med School Bound: Johns Hopkins University

PrepScholar ranked Johns Hopkins second only to Harvard University for the best pre-med schools. Forty-eight percent of undergraduates receive need-based aid. And while their tuition is $52,170, the average grant or scholarship is $38,238, which takes a nice portion out of that cost.

While these schools’ price tags can be daunting, remember that you really don’t know what a college will cost until you get your financial aid package. Complete the FAFSA as soon as you can after October 1 — schools have a finite amount of aid to disburse — and cast a wide-but-strategic net when applying to colleges. You just might be pleasantly surprised by your financial aid package.

Tuition figures are for the 2017–2018 academic year.

FAFSA is a registered service mark of the US Department of Education.