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

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Math Fundamentals
operations with numbers
number sense
number theory
parts of wholes
ratio & proportion
algebraic reasoning
discrete math
geometry
logical reasoning
measurement/units
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patterns
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Math Fundamentals
Problems
Math Fundamentals
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Division
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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
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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 Division
NCTM Standards:

Number and Operations Standard for Grades 3-5
Access to these problems requires a Membership.
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Across Australia
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. 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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Across Wisconsin
- Jo Wenzler
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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 two-week problem.
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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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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 the Fence
- Steve Risberg & Kristina Lasher
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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)
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Math Fundamentals, difficulty level 5. Use meta-reasoning 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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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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Circles Around
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Use this exploration problem to discover the relation between circumference and diameter.
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Common Cents
- Claire Mead
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Math Fundamentals, difficulty level 2. How much money do Monique and Misty each contribute toward Mom's Valentine's candy?
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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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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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Good Fences
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy.
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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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Horton's Clover Hunt
- Lisa Lavelle
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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
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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
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Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100-yard 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
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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
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Math Fundamentals, difficulty level 3. Have fun figuring out strategy in the Jellybean Rectangle game.
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Lunch Bunch Budgets
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Determine the number of children needed for the lunch bunch budget to balance.
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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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A Million in Time
- Lisa Lavelle
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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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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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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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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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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 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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Pumpkin Pride
- Claire Mead
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Math Fundamentals, difficulty level 2. Find the mean average diameter of jack-o'-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
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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
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Math Fundamentals, difficulty level 2. Explore the ways 108 puzzle pieces can be arranged.
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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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Seasonal Probability
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Calculate the probability that your birthday falls in a particular season of the year.
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A Simple Reversal
- Judy Ann Brown
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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
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Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond.
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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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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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Timber!!!
- Lisa and Judy Gardner
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Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
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The Twelve Percents of Christmas
- Lisa Lavelle
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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
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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
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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
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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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