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Multiplication

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

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 35
Access to these problems requires a Membership.

Anderson's Pumpkin Patch
 Teaching the Young Learner Group and Lisa Lavelle

Math Fundamentals, difficulty level 2. How many students are there in Ms. Juncos's fourth grade class?
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Assembly Seating
 Claire Mead

Math Fundamentals, difficulty level 2. What is Ben's plan for arranging chairs for the school assembly?
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At the Movies
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Explore the changes in movie and theater prices.
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Baseball Trivia
 Judy Ann Brown

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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Basketball Bargain
 Chad Tollefson from Western Oregon University

Math Fundamentals, difficulty level 1. Can Luis use the teacher's clues to figure out how many balls are in the closet? Can you?
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The Big Balloon Blowup
 Leon Roland & class

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

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

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

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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Choose Your Challenge
 Kristina Lasher

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

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

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

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

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

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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Darlene's Dart Board
 Claire Mead

Math Fundamentals, difficulty level 3. How many darts does it take to win on Darlene's dart board?
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Driving Decisions
 Kristina Lasher

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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Elizabeth's Cookies
 Inspired by Swarthmore College students

Math Fundamentals, difficulty level 1. Can you help Elizabeth figure out how many times she'll need to use her cookie sheet to bake all of her cookies?
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Filling the Freezer
 Kristina Lasher

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

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

Math Fundamentals, difficulty level 4. Find a fivedigit number based on these clues.
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Football Fanfare
 Suzanne Alejandre and Kristina Lasher

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

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

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

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

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

Math Fundamentals, difficulty level 1. How much will Cassie help raise for charity?
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Golden Gate Bridge *
 Claire Mead

Math Fundamentals, difficulty level 2. Find out how much wire was used in the two main cables of the Golden
Gate Bridge.
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Greta's Garden
 Claire Mead

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

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

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

Math Fundamentals, difficulty level 3. Determine which friend is correct about the final price on a sales item.
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Jason's Piggy Bank
 Claire Mead

Math Fundamentals, difficulty level 2. How many nickels did Jason find in his piggy bank?
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Jellybean Rectangles
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Have fun figuring out strategy in the Jellybean Rectangle game.
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Lost in Space
 Lisa Lavelle

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

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

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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MiniMall Measurements
 Claire Mead

Math Fundamentals, difficulty level 2. Use given measurements of the stores in the minimall to find the area
and dimensions of
other stores.
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Monmouth Mountain Bikes
 Kristina Lasher

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

Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Mattmowing" work?
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Ms. Newton's Secret
 Jeanne Fitzgerald

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)

Math Fundamentals, difficulty level 3. Decipher this cryptic multiplication problem to uncover the final product.
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Neighborhood Watch
 Lisa Lavelle

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

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

Math Fundamentals, difficulty level 3. Can Jerome and Kiya use what they know about probability to make their games fair?
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Pauline the Plumber
 Claire Mead

Math Fundamentals, difficulty level 2. Use the clues to find out how many widgets Pauline purchased.
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Peanut Butter and Jelly
 Lisa Lavelle

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

Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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Pizza Dough
 Claire Mead

Math Fundamentals, difficulty level 2. How much water does Mario need to use to make enough pizza dough for
him and his
friends?
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Pondering Palindromes
 Mary DeYoung & class

Math Fundamentals, difficulty level 1. Explore 4digit palindromes and find something else they have in common.
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Pondering Prescriptions
 Lisa Lavelle

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

Math Fundamentals, difficulty level 4. Develop a sense of time by exploring presidential events.
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Rabbit's Run
 Lisa Lavelle

Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run.
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Railroad Crossing
 Lisa Lavelle

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

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

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

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

Math Fundamentals, difficulty level 2. How old will Alana be when her mother is three times Alana's age?
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Sharing Smelt
 Claire Mead

Math Fundamentals, difficulty level 3. Find out how many smelt Larry caught Saturday morning.
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She Counts Seashells *
 Claire Mead

Math Fundamentals, difficulty level 2. How many shells does Marcia have in her collection?
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Sheila's Shelves
 Claire Mead

Math Fundamentals, difficulty level 2. How much space will Sheila have on her new book shelves?
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Shopping at the School Store
 Claire Mead

Math Fundamentals, difficulty level 2. How much does a pencil cost at the school store? How much does an eraser cost?
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Something Fishy
 Basden's 8th Hour MathDogs and Claire Mead

Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi to go in the fish pond.
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Special Stars
 Lisa Lavelle

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

Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
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Subway Subtotals
 Kristina Lasher

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

Math Fundamentals, difficulty level 2. Calculate Kate's earnings during her summer waitressing job.
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Super Deal Salsa
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk.
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Taking Tolls
 Ben Lee

Math Fundamentals, difficulty level 2. How much money did the Lincoln Tunnel into Manhattan collect between 3:30 and 4:30 PM on December 30, 2003?
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Tangrams
 Claire Mead

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

Math Fundamentals, difficulty level 3. How many square tiles does Teresa need to cover her bathroom floor?
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The Math of the Irish
 Claire Mead

Math Fundamentals, difficulty level 3. Use the mean age of the group to find Uncle Paddy's age.
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The Teddy Bears' Banquet *
 Claire Mead

Math Fundamentals, difficulty level 3. How many bears can be seated at the banquet?
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Toys To Go
 Claire Mead

Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store.
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Victoria in Bloom
 Claire Mead

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

Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch?
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Water Fun?
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine how long it would take for a 30gallon water heater to empty.
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Water Park Adventure
 Leon Roland & class

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

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 manhours.
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Wooden Legs
 Claire Mead

Math Fundamentals, difficulty level 2. How many different ways can Wendy use 31 legs to build wooden
dollhouse furniture?
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You Think Your Teacher is Tough!*
 Claire Mead

Math Fundamentals, difficulty level 2. Use Mr. Garcia's scoring system to find out how many problems Tyler
got correct on his test.
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Zelma's ZIP Code
 Claire Mead

Math Fundamentals, difficulty level 3. Find Zelma's Zip Code by ordering pairs of digits that are products of onedigit numbers.
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Zoo Trip
 Melissa Cavanaugh (Western Oregon University) & Math Forum Staff

Math Fundamentals, difficulty level 2. How many adults and seniors will Melissa's family take to the zoo?
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