What’s on the UMTYMP Algebra Qualifying Exam?

The University of Minnesota Talented Youth Mathematics Program (UMTYMP) Algebra Qualifying Exam is a specialized aptitude examination built on pre-algebra mathematics knowledge. 

A good mastery of elementary and junior high school mathematics is expected, and innate problem-solving skills and strategies are essential. 

Studying for the exam is very difficult, since it measures speed and reasoning skills more than any particular area of mathematics.  Because of this, we do not recommend any specific study material. About two weeks prior to your exam date, registrants will receive a link to a website with practice problems.

Sample questions

Two sample questions are shown below. 

In each problem, students are given two quantities, labeled (a) and (b), and are asked to determine whether:

  • (a) is greater than (b)
  • (b) is greater than (a)
  • they are equal
  • there is not enough information to say
text that says, "Question 1: X and Y are positive numbers and X < (X+Y)/3 and Question 2: The sum of the remainderrsr when each of these numbers is divided by 3: a) 3, 10, 12, 19, and b) 6, 11, 25, 27

Speed is important on the exam; students have an average of 30 seconds to solve each of these questions. There are 50 questions on the exam.