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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 3-5, 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 Australia - Lisa Lavelle
active problem 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). ... more>>

Across Europe - Lisa Lavelle
teacher support active problem 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 two-week problem. ... more>>

Across the Netherlands - Maggie Hos-McGrane
teacher support active problem Math Fundamentals, difficulty level 2. Help sort out this bike trip through the Netherlands (requires a bit of map reading). Initially a two-week problem. ... more>>

Across Wisconsin - Jo Wenzler
teacher support active problem 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. ... more>>

Aidan's Millimeter Measurements - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 1. Calculate Aidan's height and age based on his well-baby measurements at the doctor's office. ... more>>

Alien Operations - Teaching the Young Learner Group
teacher support active problem Elementary, difficulty level 2. Can you help scientists decipher the operation symbols on this alien artifact? ... more>>

Almond Cookie Bake - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Convert this cookie recipe to feed the March Madness celebrators. ... more>>

Anderson's Pumpkin Patch - Teaching the Young Learner Group and Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. How many students are there in Ms. Juncos's fourth grade class? ... more>>

At the Movies - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Explore the changes in movie and theater prices. ... more>>

Back-to-school Supplies - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Help calculate the total bill for these back-to-school supplies. ... more>>

A Barrel of Fun - Lisa Lavelle
Elementary, difficulty level 3. How much apple juice did the man keep? ... more>>

Beautiful Borders - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Help Abbie total the bill for sprucing up her room. ... more>>

The Big Balloon Blowup - Leon Roland & class
teacher support active problem Math Fundamentals, difficulty level 3. Help Ulrike and Lars determine the number of balloons in each bag. ... more>>

Birds in Trees - Steve Maurer
teacher support active problem Elementary, difficulty level 3. Can you figure out the number of trees in the courtyard? ... more>>

Birthday Beach Bash - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Help determine how many balloons were needed for party favors at the end of this celebration. ... more>>

Birthday Pictures - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Join Ms. Juncos's fourth-grade team in a comparison of seasons of birthdays. ... more>>

Borrowed Books - Teaching the Young Learner Group
teacher support active problem Elementary, difficulty level 2. Determine the number of books in the borrowing library created by three friends. ... more>>

Bouncing Babies - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Make predictions based on conversation at a recent baby shower. ... more>>

Bunches of Basil - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Determine the maximum number of basil plants I will have after I finish thinning the garden. ... more>>

Calculator Double Vision - Lisa Lavelle
Elementary, difficulty level 2. Enter a 3-digit number twice on a calculator and use division to get the original number. ... more>>

Cat Walk - Math Olympiad Problem (revised)
teacher support active problem 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. ... more>>

Charlene Goes Shopping - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Charlene needs to add some items to her winter collection. Help her determine where she should shop. ... more>>

Chicken Little's Eggs - Jody Newman
teacher support active problem Elementary, difficulty level 3. How many eggs did Chicken Little have in her basket at the start of her trip to town? ... more>>

Chime Time - Lisa Lavelle (adapted)
active problem Elementary, difficulty level 3. Determine how long it takes a clock to chime. ... more>>

The Chocolate Allergy Revelation - Antiquity (Steve Earth)
teacher support active problem 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. ... more>>

Chocolate, Orange, Mega-mint Swirl - Fitzgerald's Spring 2000 Class C
teacher support active problem Math Fundamentals, difficulty level 4. How many half-gallon cartons of ice cream can fit in the freezer? ... more>>

Choosy Chooser's Choices - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 4. Find out how many outfits Charlene can put together for a sunny day. ... more>>

Circles Around - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Use this exploration problem to discover the relation between circumference and diameter. ... more>>

Cool Cubes - Heather Cool and Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Can Jackie really mark her cubes so that each sum from 1 to 36 is possible? ... more>>

Cubic Changes - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 4. Determine how the volume and surface area of a cube change when the edge length is changed. ... more>>

Erika's Rock Collection - Elisabeth and Stephen Baseman and Chamberlain
teacher support active problem Math Fundamentals, difficulty level 2. Find out how many rocks Erika has collected over the years. ... more>>

Expressions of One Hundred - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Find a way to express one hundred with the given digits. ... more>>

Farmer Fever's Hay - Ed Levinson
teacher support active problem Elementary, difficulty level 4. Determine the weights of the four pieces of Farmer Fever's broken 40-pound rock. ... more>>

Feathers and Fur - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Determine the number of pigeons and puppies Xiao has. ... more>>

Five Digits of Fun - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 4. Find a five-digit number based on these clues. ... more>>

Flying Time Zones - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Help me figure out what time my watch should show when I land in Denver. ... more>>

Frugal Flooring - Marita Paynter
teacher support active problem 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. ... more>>

Frugal Freeda - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 4. Help Freeda decide which store has the best buy. ... more>>

Funny Money - Lisa Lavelle (adapted)
teacher support active problem Math Fundamentals, difficulty level 2. Determine the amount of money Divya has in her bank. ... more>>

Garden Fresh Fruit - Shrawan Khanna's Ninth Grade Class
teacher support active problem Math Fundamentals, difficulty level 4. Help the poor farmer predict his revenue (if he can sell all his fruit). ... more>>

Georg Tricks the Troll - Terry Trotter
teacher support active problem Elementary, difficulty level 3. Georg decides to tangle with the troll and see if he can make some money. ... more>>

Golf Anyone? - Phil Marchal
teacher support active problem 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. ... more>>

Good Fences - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy. ... more>>

The Great Flood - Jon Basden
teacher support active problem Elementary, difficulty level 3. How much "flood" water did Mr. Basden clean up with his shop vac? ... more>>

Growing Pains - Lisa Lavelle
teacher support active problem Elementary, difficulty level 4. Predict the height and weight of a child after ten years. ... more>>

High School Reunion - Western Oregon University Pre-service
teacher support active problem Elementary, difficulty level 2. Use logic to discover the arrangement of person, car, city, and occupation. ... more>>

Holiday Shopping and Surfing - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Help Charlene calculate the change she'll have left for holiday card supplies after she completes her online shopping. ... more>>

Hot Dog Day! - Jeffrey Mo
teacher support active problem Math Fundamentals, difficulty level 3. Determine how many large hot dogs have been ordered for this special day. ... more>>

How Does Your Garden Grow? - Team 7 Red Math Students -- Highland Middle School
teacher support active problem Elementary, difficulty level 4. Help the HMS students find out how many ways they can arrange their schoolyard garden. ... more>>

How Much Was That Ticket? - Lisa Lavelle - idea suggested by Jody Newman
teacher support active problem Elementary, difficulty level 4. Determine how much I spent at the movie theater. ... more>>

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