Home | Number Concept | Integers | Recommended Investigations

 Recommended Investigations The Last Digit: Given a number raised to a large power, find the ones digit of the expansion. 36 Divisibility: Explore some numbers divisible by 36. Planning Cruises: Determine three different length cruises that will leave on the same day. Minimizing Products: Find two positive integers with a given sum and who have the smallest product. Difference of Squares: Find positive integers which can be written as sum or difference of squares. Fibonacci Extended: Find the relationship between two terms of a Fibonacci sequence. Squares and Differences: Determine the relationship of the squares of three consecutive integers. Want to be a Millionaire?: If a bank doubles your money, how long will it take to become a millionaire. Average Score: Using test scores and their average, find the missing test scores. Negative Exponents: Explore the relationship of positive and negative exponents. Consuming Candy: Determine the cost of packages of gummy bears, caramels, and jaw breakers. Willing Money: Determine the amount of inheritance each family member receives. Fair Time: Set up a schedule so that each person plays basketball for the same amount of time. Salary Schedule: How many total days did a man work? Scoring the Winning Goal: How many games did the Maple Leafs win, lose, or tie? Collecting Stamps: Determine how many stamps Jessica has. Inventory Supplies: How many packages of colored pens is an art-supply store selling? Consecutive Sum: Given the sum of consecutive numbers, find the least of these numbers. OOPS! I Subtracted: You know what you get when you multiply and subtract, but what two numbers did you start with? Greatest Product: Find the greatest possible product of two natural numbers who have a particular sum. Keeping Pace: How fast do two joggers run? Save the Princess: Help Princess Stunning find a particular perfect square number. Blocked Off: Determine how many blocks Jeff has. Almost a Square: What rectangle can you form that is close to a square? Choose an Elevator: Determine which of two elevators reaches the lobby first. Multiples of 72: What is the relationship between two divisors and their product, sum, difference, and quotient? Three Daughters: Determine the age of each daughter. Perfecting 90: How can 90 become a perfect square? a perfect cube? The Frog Race: Two frogs have a race. Determine which frog wins the race. Double Trouble: Find a number that fits this description. Hypatia's Triumph: Take on the Egyptian Hypatia's challenge about sums of squares. Proper Patterns: Given some of the proper factors of a number, what could the number be? Pages with Digits: How many pages are in the book? Super Soccer: How many full size soccer teams and how many "short formation" soccer teams will Supertown field? Double Exponents: Find the power of 2 that is equivalent to a given expression. Same Base Multiples and Exponents: Find the power of 4 that is equivalent to a given expression. Four Number Challenge: Does the absolute value of four numbers always lead to zero? Submit your idea for an investigation to InterMath.