Problem-Solving Skills
Introduction
There are no magic recipes that work for solving all problems. The hints and strategies described below provide a starting
point to improve your problem-solving skills. The best way to develop and refine your problem-solving skills is simply to
practice solving a variety of problems.
General Strategies
1. Identify what the problem is asking. Also identify the units of the answer.
2. Identify what information is given. Not everything will be spelled-out in a problem. You might have
to draw on your knowledge or reference sources, such as textbooks, for equations or conversion factors. There can also be
extra information given that is not needed to solve the problem.
3. Look for paths to get from what is given to what is asked. If a problem-solving strategy is not obvious,
and it usually isn't, start working forward from the given information, and work backwards from what the problem asks. If
possible, break the problem down into smaller parts.
4. Evaluate the reasonableness of a result. If the result is not reasonable, e.g., wrong units or unreasonable
order of magnitude, look for possible errors and reevaluate your approach.
Other Hints
Read the problem carefully. You might have to read the problem several times to understand what the problem
is asking, and what information it provides. Dissect the problem as much as possible.
Use dimensional analysis. Check the units as you are working through a problem and be sure that the units
of your result matches the units of the requested quantity.