This 32-question circuit begins with an addition problem and ends with a definite integral which requires substitution. This circuit could be used for placement or diagnosis, especially for those students whose transcripts are hard to decipher (home-schooled students, non-traditional age college students, international students).
Here are the directions: All problems should be worked without a calculator. Begin in cell #1. Show the work necessary to answer the question. Circle your answer, search for it, and call this cell #2. Continue in this manner until the problems become too difficult. Attempt as many of the unanswered boxes as you can; only the most advanced students will be able to complete the circuit.
The mathematics department chair or math teacher can determine based on the circuit's correctness and completeness, whether the student needs to be placed in pre-alegbra, algebra, geometry, algebra 2, pre-cal, or calculus. Other factors such as age and standardized testing should be considered too.