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Browse all Elementary Problems of the Week
Participation in the Elementary Problems of the
Week allows teachers and students to address the
NCTM
Problem Solving Standard for Grades 35, enabling students to
build new mathematical knowledge through problem solving; solve problems
that arise in mathematics and in other contexts; apply and adapt a
variety of appropriate strategies to solve problems; and monitor and
reflect on the process of mathematical problem solving.
For background information elsewhere on our site, explore the
Elementary area of
the Ask Dr. Math archives, our Elementary
Student Center, and our Elementary
Level Teachers' Place.
Access to these problems requires a Membership.

Across Europe
 Lisa Lavelle

Elementary, difficulty level 3. Calculate Tray's gift "budget" during her first year working for Capital City Guidebooks (requires a bit of geography research). Initially a twoweek problem.
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Across the Netherlands
 Maggie HosMcGrane

Math Fundamentals, difficulty level 5. Help sort out this bike trip through the Netherlands (requires a bit of map reading). Initially a twoweek problem.
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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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Aidan's Millimeter Measurements
 Lisa Lavelle

Math Fundamentals, difficulty level 1. Calculate Aidan's height and age based on his wellbaby measurements at the doctor's office.
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Alien Operations
 Teaching the Young Learner Group

Elementary, difficulty level 2. Can you help scientists decipher the operation symbols on this alien artifact?
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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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At the Movies
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Explore the changes in movie and theater prices.
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Backtoschool Supplies
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Help calculate the total bill for these backtoschool supplies.
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A Barrel of Fun
 Lisa Lavelle

Elementary, difficulty level 3. How much apple juice did the man keep?
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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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Birds in Trees
 Steve Maurer

Elementary, difficulty level 3. Can you figure out the number of trees in the courtyard?
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Birthday Beach Bash
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Help determine how many balloons were needed for party favors at the end of this celebration.
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Birthday Pictures
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Join Ms. Juncos's fourthgrade team in a comparison of seasons of birthdays.
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Borrowed Books
 Teaching the Young Learner Group

Elementary, difficulty level 2. Determine the number of books in the borrowing library created by three friends.
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Bouncing Babies
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Make predictions based on conversation at a recent baby shower.
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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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Calculator Double Vision
 Lisa Lavelle

Elementary, difficulty level 2. Enter a 3digit number twice on a calculator and use division to get the original number.
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Cat Walk
 Math Olympiad Problem (revised)

Elementary, difficulty level 2. Using the ratio of dog steps to cat steps and the length of a dog step, calculate the number of feet a cat walks in 24 steps.
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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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Chicken Little's Eggs
 Jody Newman

Elementary, difficulty level 3. How many eggs did Chicken Little have in her basket at the start of her trip to town?
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Chime Time
 Lisa Lavelle (adapted)

Elementary, difficulty level 3. Determine how long it takes a clock to chime.
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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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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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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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Cool Cubes
 Heather Cool and Lisa Lavelle

Math Fundamentals, difficulty level 3. Can Jackie really mark her cubes so that each sum from 1 to 36 is possible?
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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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Erika's Rock Collection
 Elisabeth and Stephen Baseman and Chamberlain

Math Fundamentals, difficulty level 2. Find out how many rocks Erika has collected over the years.
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Expressions of One Hundred
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Find a way to express one hundred with the given digits.
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Farmer Fever's Hay
 Ed Levinson

Elementary, difficulty level 4. Determine the weights of the four pieces of Farmer Fever's broken 40pound rock.
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Feathers and Fur
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine the number of pigeons and puppies Xiao has.
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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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Flying Time Zones
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Help me figure out what time my watch should show when I land in Denver.
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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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Frugal Freeda
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Help Freeda decide which store has the best buy.
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Funny Money
 Lisa Lavelle (adapted)

Math Fundamentals, difficulty level 2. Determine the amount of money Divya has in her bank.
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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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Georg Tricks the Troll
 Terry Trotter

Elementary, difficulty level 3. Georg decides to tangle with the troll and see if he can make some money.
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Golf Anyone?
 Phil Marchal

Math Fundamentals, difficulty level 3. Kyle needs some help in figuring out how many buckets of golf balls were hit at the Hook and Slice Driving Range.
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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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The Great Flood
 Jon Basden

Elementary, difficulty level 3. How much "flood" water did Mr. Basden clean up with his shop vac?
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Growing Pains
 Lisa Lavelle

Elementary, difficulty level 4. Predict the height and weight of a child after ten years.
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High School Reunion
 Western Oregon University Preservice

Elementary, difficulty level 2. Use logic to discover the arrangement of
person, car, city, and occupation.
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Holiday Shopping and Surfing
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Help Charlene calculate the change she'll have left for holiday card supplies after she completes her online shopping.
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Hot Dog Day!
 Jeffrey Mo

Math Fundamentals, difficulty level 3. Determine how many large hot dogs have been ordered for this special day.
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How Does Your Garden Grow?
 Team 7 Red Math Students  Highland Middle School

Elementary, difficulty level 4. Help the HMS students find out how many ways they can arrange their schoolyard garden.
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How Much Was That Ticket?
 Lisa Lavelle  idea suggested by Jody Newman

Elementary, difficulty level 4. Determine how much I spent at the movie theater.
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How Safe Is Your Bike?
 Chief Brian Craig and Lisa Lavelle

Math Fundamentals, difficulty level 3. Compare the bicycle theft rates in three different cities.
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Idle Ivan and the Troll
 Lisa Lavelle

Elementary, difficulty level 2. Idle Ivan makes a deal with a troll... to his disappointment he discovers he knows less math than he thought.
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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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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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