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Math Fundamentals
operations with numbers
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Browse all Math Fundamentals Problems of the Week

The Math Fundamentals Problems are designed for those students who are working to strengthen their basic mathematics skills and who are beginning to make connections between different areas of mathematics. The problems cover approximately the same materials as the NCTM Standards for Grades 3-5.



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Counting Cats and Dogs - Claire Mead
Math Fundamentals, difficulty level 2. How many students in Lin's school have both a dog and a cat? ... more>>

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? ... more>>

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. ... more>>

Crossing the River with Ogres - Claire Mead
Math Fundamentals, difficulty level 2. Find out how many times the boat must cross the river to get all the gnomes and ogres to the other side. ... more>>

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. ... more>>

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? ... more>>

Dad's Cookies - Diane Anderson's Teaching the Young Learner Class
Math Fundamentals, difficulty level 3. Figure out how many cookies Dad baked for the family before they ate them all! ... more>>

Darlene's Dart Board - Claire Mead
Math Fundamentals, difficulty level 3. How many darts does it take to win on Darlene's dart board? ... more>>

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. ... more>>

A Dicey Situation - Claire Mead
Math Fundamentals, difficulty level 3. Determine the fairness of a game in which players score points according to the difference between the values of two rolled dice. ... more>>

Dragons and Tigers and Hares, Oh My! - Claire Mead
Math Fundamentals, difficulty level 3. Use clues about the Chinese calendar to determine when Lin's great-grandfather was born and how old he is. ... more>>

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. ... more>>

Eating Grapes - Claire Mead
Math Fundamentals, difficulty level 3. How many grapes did Angela eat on Monday? ... more>>

Elevator Weigh-in - Kristina Lasher
Math Fundamentals, difficulty level 2. Would Melissa's family and neigbors exceed the maximum weight allowance of their apartment building elevator? If not, how many more would fit? ... more>>

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? ... more>>

Emmy's Action Figures - Claire Mead
Math Fundamentals, difficulty level 2. In how many different ways can Emmy arrange her Famous Mathematician action figures? ... more>>

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. ... more>>

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

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

The Farmer in the Dilemma - Claire Mead
Math Fundamentals, difficulty level 3. Help Farmer Mead spend exactly $100 buying exactly 100 sheep, cows and horses. ... more>>

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

Filling Beauty's Seats - Kristina Lasher and Claire Mead
Math Fundamentals, difficulty level 3. Use fractions to find out how many seats are still available for the school play and how much money the show will earn. ... more>>

Filling the Freezer - Kristina Lasher
Math Fundamentals, difficulty level 4. How many cartons of ice cream can the Math Club fit in their freezer? ... more>>

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. ... more>>

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

Flipping Coins - Claire Mead
Math Fundamentals, difficulty level 2. Determine whether this coin flipping game is a fair one. ... more>>

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. ... more>>

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? ... more>>

Four Dates - Claire Mead
Math Fundamentals, difficulty level 2. Anthony explores number patterns on a calendar. ... more>>

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. ... more>>

Frequent Flier Figuring - Judy Ann Brown
Math Fundamentals, difficulty level 2. Use Web resources to help plan the shortest route from Allentown, Pennsylvania, to New Orleans, Louisiana. ... more>>

Frog Farming - Claire Mead
Math Fundamentals, difficulty level 2. Help Farmer Mead build a rectangular pen that holds the greatest number of frogs. ... more>>

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. ... more>>

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

Funny Money - Lisa Lavelle (adapted)
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
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
Elementary, difficulty level 3. Georg decides to tangle with the troll and see if he can make some money. ... more>>

Giving with Grapefruit - Lisa Lavelle & Western Oregon University Students
Math Fundamentals, difficulty level 1. How much will Cassie help raise for charity? ... more>>

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. ... more>>

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. ... more>>

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

Grampa Joe's Great Grandpets - Kristina Lasher
Math Fundamentals, difficulty level 1. Grampa Joe is taking gifts to his grandchildren for their new pets. Can you help him figure out which great grandpet belongs to each grandchild? ... more>>

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

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. ... more>>

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

Growing Worms - Claire Mead
Math Fundamentals, difficulty level 3. Find a pattern to predict the growth of worms made of triangles. ... more>>

Hauling Sand - Claire Mead
Math Fundamentals, difficulty level 2. How many tons of sand can Marty haul in his dump truck? ... more>>

Heidi's Hometown - Claire Mead
Math Fundamentals, difficulty level 2. How many people lived in Heidi's hometown at the end of 2007? ... more>>

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

Holiday Ornaments - Claire Mead
Math Fundamentals, difficulty level 3. How many holiday ornaments did each girl's mother make? ... more>>

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