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?