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Practice Problems in Math and Science: Home

Practice problems and study guides to assist with preparation for Chemistry, Biology, Physics, and Calculus.

How to write a mathematical proof

How to write a lab report

Each professor will have slightly different styles for lab reports. You should follow these for your individual classes. This is a general guideline to lap reports for research. 

Tips on common issues for lab reports

  • Avoid very long titles, 10 words or less is a good start
  • Clearly state your hypothesis and predictions; don't assume the reader will know
  • Try to be concise and to the point. Avoid repetitions.
  • In the discussion/conclusion make sure you explain the implications. Writing that the "hypothesis is supported/ not supported" is not meaningful or useful.

How to use practice exams

Practice test can be one of the most effective methods of preparing for an exam, but it is important to use the technique correctly for the most benefit.

  1. In the first round of practice exams, it is okay not to pay attention to the time limits. This will allow you to focus on the answers instead of being worried about the time. In the next round of practice exams, switch to timed tests.
  2. Pay attention to the questions which take more time or mark questions when you are not 100% sure of the correct answer, go back and review these sections later.
  3. During review, do not immediately read the solutions to problems you missed or marked incorrectly. Try to figure out the correct answer by retrieving prior knowledge. 
  4. While taking practice exams, refrain from checking answers before completing the questions. In other words, try to duplicate exam conditions.

Weingarten Learning Resources Center

The Weingarten Center provides academic support services and programs for undergraduate, graduate, and professional students at the University of Pennsylvania through its two offices. The services and programs of both offices are free and confidential.

Office of Learning Resources 

Provides professional instruction in university relevant skills such as academic reading, writing, study strategies, and time management to the Penn student community.

Student Disabilities Services

Provides comprehensive, professional services and programs for students who self-identify with disabilities to ensure equal academic opportunities and participation in University-sponsored programs. 

Useful tools and Information  

Time management tools, Technology and applications, Resources for students, Resources for STEM, Resources for Managing articles and reference. 


How to use the library resources


Counseling and Psychotherapy Services


  • CAPS provides orientations to a variety of populations on Penn's campus. This includes a virtual tour of CAPS' space, an introduction to CAPS' services, and a brief discussion around mental health and therapy.
  • CAPS also participates in campus-wide tabling events and resource fairs.
  • To request an orientation, fill out the OUTREACH REQUEST FORM.



  • A team of CAPS' clinicians run the I CARE training program, a gatekeeper training that aims to build a caring community that has the skills and resources to intervene in student stress, distress, and crisis.
  • To learn more about or to register for I CARE, go to CAPS' I CARE Training.

Student-led Groups

  • CAPS works closely with the CAPS Advisory Board, mental health advocacy groups, and student leaders on campus.
  • To learn more about student groups involved in mental health or to view a calendar of events, go to Penn Wellness.

Community & Liaison Partnerships

  • CAPS has an extensive liaison network across the Penn community to help to bridge consultation and conversation among various communities.
  • To learn more about our liaison system, please contact Dr. Batsirai Bvunzawabaya.


  • CAPS responds and provides support to individuals or groups affected by crises and traumatic events affecting the Penn community.


  • To learn more about preventative mental health strategies and resources, go to Self-care.
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