With total annual costs pushing $70,000 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 during the 2016–17 academic year. Through a combination of scholarships, grants, work-study and 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 $18,650 at University of North Carolina at Chapel Hill to one of $52,512 at Williams College, the following six schools offer generous need-based financial aid.

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. Sixty-five percent of incoming freshmen applied for financial aid and 51 percent received it. The average package totaled $52,512, which exceeds the $50,070 tuition for the same year (but can help cover the $9,120 cost of room and board).

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 $39,044 to 52 percent of students who apply for financial aid. 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 $3,800.

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. Its average need-based financial aid package is $46,283, which goes a long way toward its $48,111 tuition. Of the 71 percent of freshmen who applied for need-based assistance, 52 percent received it.

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 $8,898 and out-of-state tuition is $34,588, is an exception. Seventy-five percent of admitted freshmen applied for financial aid, and 41 percent were determined to need it, receiving an average aid package of $18,650.

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 package of $45,900. Tuition is $50,500, and of the 71 percent of admitted students who applied for financial aid, 63 percent were deemed to need it.

If You’re Med School Bound: Johns Hopkins University

PrepScholar ranked Johns Hopkins second only to Harvard University for the best pre-med schools. Their tuition will run you about $52,170, but the average financial package of $40,617 can take a nice portion out of that cost. Of the 69 percent of freshmen who applied for financial aid, 52 percent were determined to need it.

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 — schools have a finite amount of aid to disburse — and cast a wide-but-strategic net, and you just might be pleasantly surprised by your financial aid package.

Tuition figures are for the current 2017–2018 academic year.

FAFSA is a registered service mark of the U.S. Department of Education.