## Four Number Challenge

Does the absolute value of four numbers always lead to zero?

## Same Base Multiples and Exponents

Find the power of 4 that is equivalent to a given expression.

## Double Exponents

Find the power of 2 that is equivalent to a given expression.

## Super Soccer

How many full size soccer teams and how many “short formation” soccer teams will Supertown field?

## Pages with Digits

How many pages are in the book?

## Proper Patterns

Given some of the proper factors of a number, what could the number be?

## Hypatia’s Triumph

Take on the Egyptian Hypatia’s challenge about sums of squares.

## Double Trouble

Find a number that fits this description.

## The Frog Race

Two frogs have a race. Determine which frog wins the race.

## Perfecting 90

How can 90 become a perfect square? a perfect cube?

## Three Daughters

Determine the age of each daughter.

## Multiples of 72

What is the relationship between two divisors and their product, sum, difference, and quotient?

## Choose an Elevator

Determine which of two elevators reaches the lobby first.

## Almost a Square

What rectangle can you form that is close to a square?

## Blocked Off

Determine how many blocks Jeff has.

## Save the Princess

Help Princess Stunning find a particular perfect square number.

## Keeping Pace

How fast do two joggers run?

## Greatest Product

Find the greatest possible product of two natural numbers who have a particular sum.

## OOPS! I Subtracted

You know what you get when you multiply and subtract, but what two numbers did you start with?

## Consecutive Sum

Given the sum of consecutive numbers, find the least of these numbers.

## Inventory Supplies

How many packages of colored pens is an art-supply store selling?

## Collecting Stamps

Determine how many stamps Jessica has.

## Scoring the Winning Goal

How many games did the Maple Leafs win, lose, or tie?

## Salary Schedule

How many total days did a man work?

## Fair Time

Set up a schedule so that each person plays basketball for the same amount of time.

## Willing Money

Determine the amount of inheritance each family member receives.

## Consuming Candy

Determine the cost of packages of gummy bears, caramels, and jaw breakers.

## Negative Exponents

Explore the relationship of positive and negative exponents.

## Average Score

Using test scores and their average, find the missing test scores.

## 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.