# Monthly Archives: April 2012

## Remainder N

If one is the remainder when is divided by , what would the remainder have to be if is divided by ? Source: mathcontest.olemiss.edu 4/23/2012 SOLUTION Given that one is the remainder when is divided by , there exists an integer such … Continue reading

## Ski Lift

You travel up a ski lift at mph. You ski down the slope at mph. If the ski slope is the same exact length as the distance traveled on the ski lift and we ignore any time spent at the … Continue reading

## 98 Powers of Two

Find the value of the following expression: Source: mathcontest.olemiss.edu 4/9/2012 SOLUTION We simplify the expression by using the identity We calculate as follows The sum is made up of 3’s and 4’s. How many 3’s are there? The value of … Continue reading

## Magic Factor Square

You are given a grid that contains squares. You are also given the numbers , and such that each is placed in one of the nine squares exactly once and the product of the numbers appearing in any row or … Continue reading