# Monthly Archives: November 2016

## Vertices of a Square

If and are the coordinates of two opposite vertices of a square, what are the coordinates of the other two vertices? Source: NCTM Mathematics Teacher, October 2006 Solution Let and be the two given opposite vertices of the square. The … Continue reading

## Exponent Value

What is the integer for which ? Source: NCTM Mathematics Teacher, October 2006 Solution Answer:

## Least Side Length of Right Triangle

If the lengths of two sides of a right triangle are and , what is the least possible length of the third side? Source: NCTM Mathematics Teacher, October 2006 Solution If the legs of the right triangle measure and units, … Continue reading

## Volumes of Two Cubes

The combined volumes of two cubes with integer side lengths are numerically equal to the combined lengths of their edges. What are the dimensions of the cubes? Source: NCTM Mathematics Teacher, January 2006 Solution Suppose is the side length of … Continue reading

## Same Difference

If fifteen distinct whole numbers are randomly selected from to inclusive, determine the probability that two pairs of these numbers will have the same difference. Source:NCTM Mathematic Teacher, January 2006 Solution What are the possible difference values? There are possible … Continue reading