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This page:
operations with numbers
 addition
 division
 multiplication
 subtraction
 rounding/estimation

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Math Fundamentals
operations with numbers
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parts of wholes
ratio & proportion
algebraic reasoning
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logical reasoning
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Math Fundamentals
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Math Fundamentals
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Multiplication
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These problems require students to perform basic operations with numbers. Multiplication is central to solving the problems completely, though it may not be the only required operation.
- Related Resources
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Interactive resources from our Math Tools project:

Math 4: Operations with Numbers
The closest match in our Ask Dr. Math archives:

Elementary Multiplication
NCTM Standards:

Number and Operations Standard for Grades 3-5
Access to these problems requires a Membership.
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Almond Cookie Bake
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Convert this cookie recipe to feed the March Madness celebrators.
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Anderson's Pumpkin Patch
- Teaching the Young Learner Group and Lisa Lavelle
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Math Fundamentals, difficulty level 2. How many students are there in Ms. Juncos's fourth grade class?
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At the Movies
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Explore the changes in movie and theater prices.
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Baseball Trivia
- Judy Ann Brown
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Math Fundamentals, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a mile?
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Beautiful Borders
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Help Abbie total the bill for sprucing up her room.
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The Big Balloon Blowup
- Leon Roland & class
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Math Fundamentals, difficulty level 3. Help Ulrike and Lars determine the number of balloons in each bag.
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Building Bouquets
- Amanda Knott and the Western Oregon University Mentors
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Math Fundamentals, difficulty level 2. Help Jana determine how to divide her extra flowers for the flower shop special.
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Bunches of Basil
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the maximum number of basil plants I will have after I finish thinning the garden.
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Charlene Goes Shopping
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Charlene needs to add some items to her winter collection. Help her determine where she should shop.
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Chocolate, Orange, Mega-mint Swirl
- Fitzgerald's Spring 2000 Class C
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Math Fundamentals, difficulty level 4. How many half-gallon cartons of ice cream can fit in the freezer?
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Choose Your Challenge
- Kristina Lasher
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Math Fundamentals, difficulty level 2. Can Zak find a more precise measure of how much older his brother is than he is?
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Choosy Chooser's Choices
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Find out how many outfits Charlene can put together for a sunny day.
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Count the Discount
- Kristina Lasher
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Math Fundamentals, difficulty level 3. The jacket on the clearance rack is marked down 20% more each day. How much will it cost after 5 days?
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Crack the Code
- Christi Sather and Kristina Lasher
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Math Fundamentals, difficulty level 2. Help Christi use the clues to figure out which code will unlock the vault.
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Cubic Changes
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Determine how the volume and surface area of a cube change when the edge length is changed.
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Cupcakes, Cupcakes!
- Kristina Lasher & Terry Trotter
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Math Fundamentals, difficulty level 1. Andrei needs to put icing on the cupcakes and get out the door to catch the bus. Will he and his sister be able to get them all iced in time?
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Driving Decisions
- Kristina Lasher
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Math Fundamentals, difficulty level 4. Help the Downings decide which car rental is the best option for their trip to Denver.
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Filling the Freezer
- Kristina Lasher
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Math Fundamentals, difficulty level 4. How many cartons of ice cream can the Math Club fit in their freezer?
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Fish in a Barrel
- Claire Mead
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Math Fundamentals, difficulty level 3. Find out how many fish Jake, Herman and Luke each took home from their
fishing trip.
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Five Digits of Fun
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Find a five-digit number based on these clues.
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Football Fanfare
- Suzanne Alejandre and Kristina Lasher
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Math Fundamentals, difficulty level 1. The students in the pep club are designing a "card stunt" for the halftime show for the next football game. What are the possible seating arrangements they can use?
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Four Playful Mathematicians
- inspired by Maria Fung's class at Western Oregon
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Math Fundamentals, difficulty level 2. Follow the clues to help the four playful mathematicians return the lost watch.
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Frog Farming
- Claire Mead
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Math Fundamentals, difficulty level 2. Help Farmer Mead build a rectangular pen that holds the greatest
number of frogs.
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Frugal Flooring
- Marita Paynter
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Math Fundamentals, difficulty level 2. Help Graeme determine how many tiles he needs to decorate his new bedroom and whether or not he can afford them.
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Garden Fresh Fruit
- Shrawan Khanna's Ninth Grade Class
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Math Fundamentals, difficulty level 4. Help the poor farmer predict his revenue (if he can sell all his fruit).
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Giving with Grapefruit
- Lisa Lavelle & Western Oregon University Students
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Math Fundamentals, difficulty level 1. How much will Cassie help raise for charity?
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Greta's Garden
- Claire Mead
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Math Fundamentals, difficulty level 2. Find out how much money Greta made from each of her vegetables at the
Farmers's Market.
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Hauling Sand
- Claire Mead
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Math Fundamentals, difficulty level 2. How many tons of sand can Marty haul in his dump truck?
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I Like to Palindrive!
- Kristina Lasher
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Math Fundamentals, difficulty level 3. How many palindromic numbers will appear on Kristina's odometer in October, 2003?
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Is There Really a Discount?
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine which friend is correct about the final price on a sales item.
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Jellybean Rectangles
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Have fun figuring out strategy in the Jellybean Rectangle game.
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Lost in Space
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Figure out how big an error the engineers made when they mixed up their units.
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The Mad Hatter's Gone!
- Leanne Gater
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Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese.
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Meters of Money
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Help Ms. Juncos's class determine the amount of money they will raise with this metric project.
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Monmouth Mountain Bikes
- Kristina Lasher
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Math Fundamentals, difficulty level 1. How many mountain bikes will have the highest level of safety testing?
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More Mowing Madness
- George Miller and Lisa Lavelle
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Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Matt-mowing" work?
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Ms. Newton's Secret
- Jeanne Fitzgerald
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Math Fundamentals, difficulty level 2. Can you discover the secret of Ms. Newton's age?
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Multiplication Mystery
- Ya. I. Perelman (translated from Russian by Valentina Sokolskaya)
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Math Fundamentals, difficulty level 3. Decipher this cryptic multiplication problem to uncover the final product.
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Neighborhood Watch
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Find out how many trips will be made around the neighborhood in this watch program.
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Nova Scotia Quilt
- Claire Mead
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Math Fundamentals, difficulty level 3. Use the area of a rectangular bed quilt to determine its dimensions.
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Odds vs. Evens
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Can Jerome and Kiya use what they know about probability to make their games fair?
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Peanut Butter and Jelly
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. How many sandwiches can we make before using up a package of bread and jars of jelly and peanut butter at the same time?
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Penny Space
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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Pondering Palindromes
- Mary DeYoung & class
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Math Fundamentals, difficulty level 1. Explore 4-digit palindromes and find something else they have in common.
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Pondering Prescriptions
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Help calculate the amount of antibiotic in each dose of my prescription.
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Presidential Timepieces
- Mary DeYoung & class
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Math Fundamentals, difficulty level 4. Develop a sense of time by exploring presidential events.
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Rabbit's Run
- Lisa Lavelle
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Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run.
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Railroad Crossing
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine how far apart Division Junction and Logarithm Square are, based on the time Emily and Edward Engineer cross paths.
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Rugby Rules!
- Ben Comstock and Claire Mead
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Math Fundamentals, difficulty level 3. Find all the ways Western could have scored 27 points in their rugby game.
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Sacagawea Cheerios
- Stephen Maurer
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Math Fundamentals, difficulty level 3. Determine how many Sacagawea coins the government will give away during this Cheerios promotion.
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School Spirit
- Kristina Lasher
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Math Fundamentals, difficulty level 1. Do a little estimating to determine how much money is needed to buy school spirit items.
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Sharing Birthdays
- Claire Mead
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Math Fundamentals, difficulty level 2. How old will Alana be when her mother is three times Alana's age?
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Special Stars
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain.
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Splish Splash
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
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Subway Subtotals
- Kristina Lasher
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Math Fundamentals, difficulty level 2. When people ride the subway, they can pay with money, tokens, or transit cards. How did the people in my subway car pay their fare this morning?
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Summer at Sweet Tooth
- Ross Shelter & Carrie Shankweiler
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Math Fundamentals, difficulty level 2. Calculate Kate's earnings during her summer waitressing job.
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Super Deal Salsa
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk.
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Tangrams
- Claire Mead
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Math Fundamentals, difficulty level 2. Discover some of the relationships among the pieces in a set of Tangrams.
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Teresa's Tiles
- Kristina Lasher
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Math Fundamentals, difficulty level 3. How many square tiles does Teresa need to cover her bathroom floor?
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Victoria in Bloom
- Claire Mead
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Math Fundamentals, difficulty level 2. Find combinations of trees and/or shrubs that could have totaled
2,005,500 blossoms in the
park in Victoria.
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Video Viewing
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch?
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Water Fun?
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine how long it would take for a 30-gallon water heater to empty.
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Water Park Adventure
- Leon Roland & class
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Math Fundamentals, difficulty level 2. How much does each member of the class need to earn to fund the field trip?
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What a Move!
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the number of hours it took the movers to move the Lavelles to their new home, as well as the number of man-hours.
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Wooden Legs
- Claire Mead
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Math Fundamentals, difficulty level 2. How many different ways can Wendy use 31 legs to build wooden
dollhouse furniture?
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Zelma's ZIP Code
- Claire Mead
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Math Fundamentals, difficulty level 3. Find Zelma's Zip Code by ordering pairs of digits that are products of one-digit numbers.
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Zoo Trip
- Melissa Cavanaugh (Western Oregon University) & Math Forum Staff
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Math Fundamentals, difficulty level 2. How many adults and seniors will Melissa's family take to the zoo?
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