2018 UNM-PNM Statewide High School Mathematics Contest II Problems
UNM - PNM STATEWIDE MATHEMATICS CONTEST L. February 3, 2018. Second Round. Three Hours
Contents
Problem 1
Let be two real numbers. Let and be two arithmetic sequences.
Calculate .
Problem 2
Determine all positive integers such that and is divisible by .
Problem 3
Let be three positive integers in the interval satisfying and . How many different choices of exist?
Problem 4
Suppose ABCD is a parallelogram with area square units and is a right angle. If the lengths of all the sides of ABCD are integers, what is the perimeter of ABCD?