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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.



Access to these problems requires a Membership.

Monmouth Mountain Bikes - Kristina Lasher
Math Fundamentals, difficulty level 1. How many mountain bikes will have the highest level of safety testing? ... more>>

Moons, by Jove! - Claire Mead
Math Fundamentals, difficulty level 3. Find out how long it will take these 3 moons to return to a position of alignment with their planet. ... more>>

More Balloons - Lisa Lavelle
Math Fundamentals, difficulty level 5. Here's a more difficult problem based on our balloon color preferences. ... more>>

More Mowing Madness - George Miller and Lisa Lavelle
Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Matt-mowing" work? ... more>>

More Recess - Kristina Lasher
Math Fundamentals, difficulty level 3. Camilla checks out a kickball while Patrick brings his handball. How much more recess does Patrick save? ... more>>

Movie Line Madness - Lisa Lavelle
Math Fundamentals, difficulty level 4. Determine what time it will be when Odysseus and Penelope finish taking care of their movie customers. ... more>>

Mowing Madness - George Miller and Lisa Lavelle
Math Fundamentals, difficulty level 2. Using a special "Matt-mowing" technique, find the dimensions of the last rectangle to be mowed in a 48 ft. by 64 ft. yard. ... more>>

Mr. Lincoln's Line * - Claire Mead
Math Fundamentals, difficulty level 3. Find out who's wearing glasses and carrying lunch boxes in Mr. Lincoln's lunch line. ... more>>

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). ... more>>

Ms. Newton's Secret - Jeanne Fitzgerald
Math Fundamentals, difficulty level 2. Can you discover the secret of Ms. Newton's age? ... more>>

Multiplication Mystery - Ya. I. Perelman (translated from Russian by Valentina Sokolskaya)
Math Fundamentals, difficulty level 3. Decipher this cryptic multiplication problem to uncover the final product. ... more>>

Mystery Numbers - CanSchoolNet - revised
Math Fundamentals, difficulty level 2. Fill in the missing numbers on an ancient scroll. ... more>>

Neighborhood Watch - Lisa Lavelle
Math Fundamentals, difficulty level 3. Find out how many trips will be made around the neighborhood in this watch program. ... more>>

Nova Scotia Quilt - Claire Mead
Math Fundamentals, difficulty level 3. Use the area of a rectangular bed quilt to determine its dimensions. ... more>>

Nuts in a Bowl - Claire Mead
Math Fundamentals, difficulty level 3. Determine how many nuts are in five bowls using the given clues. ... more>>

Odd (and Even) Dates - Lisa Lavelle
Math Fundamentals, difficulty level 1. Can you figure out these curious dates? ... more>>

Odds vs. Evens - Kristina Lasher
Math Fundamentals, difficulty level 3. Can Jerome and Kiya use what they know about probability to make their games fair? ... more>>

Oh, Brother! - Lisa Lavelle
Math Fundamentals, difficulty level 1. Aidan is how many days younger than T.J.? ... more>>

The Olympic Distance - Shrawan Khanna & Class
Elementary, difficulty level 4. Determine how many kilometres the Russian Olympic team members will travel in attending the 2002 Winter Olympics. ... more>>

Olympic Rings Repair - Lisa Lavelle
Math Fundamentals, difficulty level 3. Help answer Jellybean's question about the Olympic rings. ... more>>

Operation Challenge - Lisa Lavelle
Elementary, difficulty level 2. Help Inger and Tarik complete Ms. Madril's multiple-choice challenge. ... more>>

Order in the Court * - Claire Mead
Math Fundamentals, difficulty level 2. How many handshakes will take place when the Supreme Court meets? ... more>>

Our Favorite Balloon Colors - Lisa Lavelle
Elementary, difficulty level 4. Determine the number of submitters who listed blue as their favorite balloon color. ... more>>

Pauline the Plumber - Claire Mead
Math Fundamentals, difficulty level 2. Use the clues to find out how many widgets Pauline purchased. ... more>>

Payment in Kind - Lisa Lavelle (adapted)
Elementary, difficulty level 3. Determine the spouses of three kind women based on the details of their inheritance. ... more>>

Peanut Butter and Jelly - Lisa Lavelle
Math Fundamentals, difficulty level 3. How many sandwiches can we make before using up a package of bread and jars of jelly and peanut butter at the same time? ... more>>

Penguin Fun - Bob Coulter
Elementary, difficulty level 2. Three penguins go to an amusement park. Can they all take the same ride? ... more>>

Penny Dates - Claire Mead
Math Fundamentals, difficulty level 3. Discover which date can change a collection's mean average date by one year. ... more>>

Penny-Pinching Pretzel Company - Kristina Lasher
Math Fundamentals, difficulty level 2. If a pretzel company reduces the amount of pretzels in a bag by 25% and then later increases that new amount by 25%, do the changes break even? ... more>>

Penny Space - Lisa Lavelle
Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies. ... more>>

Perfect Passengers - Mrs. Clark's Sixth Grade Stars
Elementary, difficulty level 2. See if you can determine who's who using clues to their eye color and luggage. ... more>>

Pig Pens - Claire Mead
Math Fundamentals, difficulty level 2. Find the rectangle of least perimeter which encloses 36 sq meters of area. ... more>>

Pirate Treasure * - Claire Mead
Math Fundamentals, difficulty level 3. How many trips will it take to get the pirates and their treasure back to the ship? ... more>>

Pizza Dough - Claire Mead
Math Fundamentals, difficulty level 2. How much water does Mario need to use to make enough pizza dough for him and his friends? ... more>>

The Place Value Game - Kristina Lasher
Math Fundamentals, difficulty level 2. Help Sylvia and Carina think about winning numbers in the Place Value Game. ... more>>

Pocket Change - Claire Mead
Math Fundamentals, difficulty level 1. How many dimes do I have in my pocket? ... more>>

Pondering Palindromes - Mary DeYoung & class
Math Fundamentals, difficulty level 1. Explore 4-digit palindromes and find something else they have in common. ... more>>

Pondering Prescriptions - Lisa Lavelle
Math Fundamentals, difficulty level 4. Help calculate the amount of antibiotic in each dose of my prescription. ... more>>

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? ... more>>

Presidential Timepieces - Mary DeYoung & class
Math Fundamentals, difficulty level 4. Develop a sense of time by exploring presidential events. ... more>>

Price Tag Repair - Teaching the Young Learner Group
Math Fundamentals, difficulty level 2. Can you use the clues to help Cathy repair the price tags for the family yard sale? ... more>>

Pumpkin Pride - Claire Mead
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. ... more>>

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. ... more>>

Puzzling Puzzle Pieces - Lisa Lavelle
Math Fundamentals, difficulty level 2. Explore the ways 108 puzzle pieces can be arranged. ... more>>

Rabbit's Run - Lisa Lavelle
Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run. ... more>>

Railroad Crossing - Lisa Lavelle
Math Fundamentals, difficulty level 3. Determine how far apart Division Junction and Logarithm Square are, based on the time Emily and Edward Engineer cross paths. ... more>>

Raisin Nut Cookies - Marsha May
Math Fundamentals, difficulty level 4. Sarah needs to convert her cookie recipe for her cousin. ... more>>

Rounding Mountains - Judy Ann Brown
Math Fundamentals, difficulty level 2. Use estimated figures to determine the maximum and minimum differences between the heights of two mountains. ... more>>

Rugby Rules! - Ben Comstock and Claire Mead
Math Fundamentals, difficulty level 3. Find all the ways Western could have scored 27 points in their rugby game. ... more>>

Sacagawea Cheerios - Stephen Maurer
Math Fundamentals, difficulty level 3. Determine how many Sacagawea coins the government will give away during this Cheerios promotion. ... more>>

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