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Division

These problems require students to perform basic operations with numbers. Division 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 Division
NCTM Standards:
Number and Operations Standard for Grades 35
Access to these problems requires a Membership.

Across Wisconsin
 Jo Wenzler

Math Fundamentals, difficulty level 2. Determine how long it will take this athletic math teacher to bike across Wisconsin (requires a little map reading). Initially a twoweek problem.
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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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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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Bobsled Sums
 Bob and Claire Mead

Math Fundamentals, difficulty level 3. Find which men rode with driver number 1 on his fourman bobsled.
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Building the Fence
 Steve Risberg & Kristina Lasher

Math Fundamentals, difficulty level 3. Herta is building a fence. How wide will the gaps between the pickets be so that everything is spaced evenly?
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The Chocolate Allergy Revelation
 Antiquity (Steve Earth)

Math Fundamentals, difficulty level 5. Use metareasoning to deduce the ages of three people based on a product, a sum, and a seemingly irrelevant third piece of information.
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Circles Around
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Use this exploration problem to discover the relation between circumference and diameter.
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Clock Work
 Claire Mead

Math Fundamentals, difficulty level 2. How did Maria and Sammy arrange their pencils on the clock face?
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Common Cents
 Claire Mead

Math Fundamentals, difficulty level 2. How much money do Monique and Misty each contribute toward Mom's Valentine's candy?
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Dashing Through the Snow
 Claire Mead

Math Fundamentals, difficulty level 3. Use clues to determine the finishing order of the ski racers at Winter Carnival.
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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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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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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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Good Fences
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy.
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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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Horton's Clover Hunt
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Find out how fast Horton had to work picking clovers.
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I Get A Kick Out Of Soccer!
 Judy Ann Brown

Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile?
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Inching Along Down the Football Field
 Terrel Trotter

Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100yard field. He then moved it forward half the field distance, over and over again. When did the distance first become less than one inch?
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Irish Specials
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Calculate the final bill for our St. Patrick's Day dinner last week.
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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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The Kickball Tournament
 Diane Anderson's Teaching the Diverse Young Learner Class at Swarthmore College and Claire Mead

Math Fundamentals, difficulty level 1. How many players will Ms. Emery put on each kickball team?
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Lunch Bunch Budgets
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Determine the number of children needed for the lunch bunch budget to balance.
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Marble Mayhem
 Claire Mead

Math Fundamentals, difficulty level 2. Fred and his friends divide the marbles in several different ways, but
there is always one left
over.
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Math Club Field Trip
 Claire Mead

Math Fundamentals, difficulty level 3. How many people returned from the Math Club field trip in Miss Noether's van?
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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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A Million in Time
 Lisa Lavelle

Math Fundamentals, difficulty level 2. "Human beings can expect to live a million..." Use your conversion skills to determine which unit of time best completes this statement.
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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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Missing Pages
 Claire Mead

Math Fundamentals, difficulty level 2. Drew's math book is missing a page. What are the page numbers on the missing page?
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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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Mr. W. Goes Across Australia
 Lisa Lavelle

Math Fundamentals, difficulty level 5. Help Mr. W figure out when he needs to start his trip in order to meet Mrs. W on time (requires a bit of map reading).
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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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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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Penny Space
 Lisa Lavelle

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

Math Fundamentals, difficulty level 2. How much should Fran and Gloria each give Ethan so that they all have an equal amount?
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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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Pumpkin Pride
 Claire Mead

Math Fundamentals, difficulty level 2. Find the mean average diameter of jacko'lanterns lined up on planks
and also the number
of miles the planks would cover if laid end to end.
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Pushing Pennies
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Estimate the number of pennies that you can fit on a sheet of paper, then evaluate your estimate.
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Puzzling Puzzle Pieces
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Explore the ways 108 puzzle pieces can be arranged.
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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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Seasonal Probability
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the probability that your birthday falls in a particular season of the year.
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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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A Simple Reversal
 Judy Ann Brown

Math Fundamentals, difficulty level 1. The product of 3 and 24 is 72. The sum of 3 and 24 is 27, which is the reverse of 72. Can you find other pairs of numbers such that their product is the reverse of their sum?
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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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Subway Tokens
 Annie Fetter and Claire Mead

Math Fundamentals, difficulty level 2. How did Samantha know the subway token machine didn't behave as advertised?
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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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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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Timber!!!
 Lisa and Judy Gardner

Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
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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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The Twelve Percents of Christmas
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the percentages of the total gifts received on each of the twelve days of Christmas.
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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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Volunteering at the Food Bank
 Abby Martin

Math Fundamentals, difficulty level 2. Calculate the number of volunteer hours needed to keep a food bank in operation.
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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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