国外博士资格考试Qualifying Exams

1.University of California San Diego

https://mathematics.ucsd.edu/students/graduate/academics/qualifying-exams

2.Michigan State University

https://math.msu.edu/Graduate/qualifying-exams.aspx

3.UCI

https://www.math.uci.edu/graduate/current-students/examinations

https://quals.math.uci.edu/

4.UCLA

https://ww3.math.ucla.edu/past-qualifying-exams/#:~:text=past%20qualifying%20exams%20Basic%20Exam%20Algebra%20Analysis%20Applied

 5.得克萨斯A&M大学

https://www.math.tamu.edu/graduate/phd/quals.html

6.威斯康辛分校

https://wiki.math.wisc.edu/index.php/Algebra_Qualifying_Exam

https://math.wisc.edu/graduate/current-phd/qualifying-exams/topics/

These are the sets of qualifying/preliminary examinations of US universities that I collected some time ago for the same purposes as you. (Dave L. Renfro points out in a commentary below that he compiled a similar list a decade ago, the following includes new departments, updated old broken links and removes unavailable sources). These exams are of much help and some even include solutions!:

• University of Arizona Ph. D. Qualifying Exams
• Arizona State University Qualifying Examinations
• University of Alabama Qualifying Exams.
• University of Alabama at Birmingham Qualifying Exams
• SUNY Albany Ph.D. Preliminary Examinations.
• University of California-Berkeley Preliminary Examinations.
• Boston University Preliminary Exams.
• University of Colorado-Boulder Prelim Exams.
• Columbia University Qualifying Exams.
• University of Connecticut Prelim Exams.
• University of California-Davis Exams.
• University of California-Irvine Exams
• University of California-Riverside Exams
• University of Florida Graduate Exams.
• University of Georgia-Athens Qualifying Exams.
• Harvard University Qualifying Exams.
• University of Illinois at Urbana-Champaign Comprehensive Exams.
• Indiana University-Bloomington Tier I Examinations.
• University of Iowa Qualifying Exams.
• Iowa State University Qualifying Exams
• Johns Hopkins University Qualifying Exams.
• Kansas State University Qualifying Exams.
• University of California-Los Angeles Qualifying Exams.
• Louisiana State University Comprehensive Exams.
• University of Maryland Qualifying Exams.
• University of Massachussetts-Amherst Qualifying Exams.
• University of Michigan-Ann Arbor Qualifying Review Examinations.
• University of Minnesota Prelim Exams.
• University of Missouri-Columbia Qualifying Exams.
• University of Nebraska-Lincoln Qualifying Exams.
• University of New Mexico Qualifying Exams.
• University of North Carolina at Chapel Hill Comprehensive Ph.D. Exams (requires one to log in).
• Northeastern University Qualifying Examinations.
• Northwestern University Preliminary Examinations.
• Ohio State University Qualifying Exams.
• Oklahoma State University Comprehensive Exams.
• University of Oklahoma Qualifying Exams.
• Pennsylvania State University Qualifying Exams.
• University of Pittsburgh Preliminary Exams.
• Purdue University Qualifying Exams.
• University of Rochester Preliminary Exams.
• Rutgers University-New Brunswick Qualifying Exams and oral exams.
• Stanford University Qualifying Exams.
• Syracuse University Prelim and Qualifying Exams.
• Temple University PhD. Exams.
• University of Texas at Austin Preliminary Exams.
• Texas A & M University Qualifying Examinations.
• University of Utah Qualifying Examinations.
• University of Washington Preliminary Examinations.
• University of Wisconsin-Madison Qualifying Exams.