This paper presents simple and intuitive strategies for effective online assessment of a freshman engineering course. The proposed strategies for unproctored online exams include creating multiple sets with identical options, using image-format questions, maintaining short duration of exam, and employing a rotational assignment. Unlike a single-set paper where the class average was found to be disproportionately high, the proposed strategies helped in correctly restoring the class average. Feedback and results from 141 students show a significant statistical difference in the scores obtained using the proposed multi-set quiz framework, as opposed to conventional single-set papers. The paper also presents a simple setup of remote proctoring using dual-video and screensharing to replicate in-person classroom exams without the need of commercial proctoring services.