## Want to be a Millionaire?

If a bank doubles your money, how long will it take to become a millionaire.

## Squares and Differences

Determine the relationship of the squares of three consecutive integers.

## Difference of Squares

Find positive integers which can be written as sum or difference of squares.

## Minimizing Products

Find two positive integers with a given sum and who have the smallest product.

## Planning Cruises

Determine three different length cruises that will leave on the same day.

## 36 Divisibility

Explore some numbers divisible by 36.

## The Last Digit

Given a number raised to a large power, find the ones digit of the expansion.

## Fibonacci Extended

Identify an explicit pattern between terms in a group of numbers that are generated recursively.

## Integers and Egyptian Fractions

Explore partial sums of series when they are equal to an integer value.

## What values of ….?

Find situations where a fractional expression can simplify to a whole number.