# Monthly Archives: March 2012

## Expressing a Factorial

Determine the units digit of the sum of the above expression. Source: mathcontest.olemiss.edu 3/26/2012 SOLUTION This problem is related to the problem titled “Factorials Cubed” dated 3/27/2012. Answer: 9

## Not Multiples of Eleven

You are given a special set of numbers that contains all three-digit positive integers that are palindromes. What is the probability that any thee-digit palindrome is NOT a multiple of eleven? Source: mathcontest.olemiss.edu 3/19/2012 SOLUTION This problem is related to … Continue reading

## Going Around in Circles

If we pick any two distinct points on a circle, and connect them with a chord, the chord will divide the interior of the circle into two distinct, nonintersecting regions. If we pick three distinct points on a circle and … Continue reading

## What’s My Number

If I am not a multiple of , then I am between and . If I am a multiple of , I am between and . If I am not a multiple of , I am between and . What … Continue reading

## Right Triangle Area

The sum of the lengths of the three sides of a right triangle is 18. The sum of the squares of the lengths of the three sides is 128. What is the area of this right triangle? Source: mathcontest.olemiss.edu 3/5/2012 … Continue reading

## Relationship Between Triangles

In triangle , segment from vertex meets opposite side at a point with the length of 1/3 the length of . That is, point is located 1/3 of the way along segment from C. Similarly, points and are located at … Continue reading