Math Forum - Problems Library - Math Fundamentals, Measurement/Units

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Measurement/Units
These problems require students to manipulate and calculate different types of measurements. They include geometric measurements, as well as the concepts of money and time.

Some of these problems are also in the following subcategories:

Related Resources
Interactive resources from our Math Tools project:
   Math 4: Measurement
The closest match in our Ask Dr. Math archives:
   Elementary Measurement
NCTM Standards:
   Measurement Standard for Grades 3-5

Access to these problems requires a Membership.

Across the Netherlands - Maggie Hos-McGrane
Math Fundamentals, difficulty level 5. 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
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>>

After School Snacks - Claire Mead
Math Fundamentals, difficulty level 3. How much money is Shawn spending on after school snacks? How long will it take him to save enough for a new calculator? ... more>>

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

All Aboard! - Claire Mead
Math Fundamentals, difficulty level 3. How long will Sasha's train trip from Washington to Chicago take? ... more>>

A Pound of Tea - Claire Mead
Math Fundamentals, difficulty level 3. Find out how long a pound of tea would last Hazel if she were alone. ... more>>

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

Back-to-School Shopping - Judy Ann Brown
Math Fundamentals, difficulty level 2. Mrs. Bender noticed that the total of the items her children purchased was $155. Can you determine the cost of one pair of jeans? ... more>>

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

Baseball Trivia - Judy Ann Brown
Math Fundamentals, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a mile? ... more>>

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

Birthday Probability - Kristina Lasher & Lisa Lavelle
Math Fundamentals, difficulty level 3. What is the likelihood that someone is born on an even or odd day of the month? Are you more likely to be born on a prime number day or a multiple of 3? ... more>>

Birthday Trip - Kristina Lasher
Math Fundamentals, difficulty level 3. Just how far is the trip to Aunt Mazie's house? ... more>>

Building Barns * - Claire Mead
Math Fundamentals, difficulty level 3. How long will it take Amy's crew to build a barn? ... more>>

Building the Fence - Steve Risberg & Kristina Lasher
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? ... more>>

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. ... more>>

California Dreaming - Judy Ann Brown
Math Fundamentals, difficulty level 3. Determine the length of time that will be needed to drive from Allentown, Pennsylvania, to Los Angeles, California. ... more>>

Campers' Cider - Elizabeth Gardner (Western Oregon University) & Math Forum Staff
Math Fundamentals, difficulty level 2. How much cider did the campers press for the evening festivities? ... more>>

Can You Drink That Swimming Pool? - Kristina Lasher
Math Fundamentals, difficulty level 3. Estimating the amount of water in a pool. About how long would it take to drink that much water? ... more>>

Change You Can't Count On - Claire Mead
Math Fundamentals, difficulty level 2. What is the greatest amount of money I can have in my pocket? ... more>>

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. ... more>>

Choose Your Challenge - Kristina Lasher
Math Fundamentals, difficulty level 2. Can Zak find a more precise measure of how much older his brother is than he is? ... more>>

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

Clock Work - Claire Mead
Math Fundamentals, difficulty level 2. How did Maria and Sammy arrange their pencils on the clock face? ... more>>

Common Cents - Claire Mead
Math Fundamentals, difficulty level 2. How much money do Monique and Misty each contribute toward Mom's Valentine's candy? ... 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>>

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>>

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>>

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>>

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>>

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>>

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>>

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>>

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

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

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. ... more>>

Horsin' Around - Claire Mead
Math Fundamentals, difficulty level 2. How long does it take Zachary to complete his journey on horseback and on foot? ... more>>

Horton's Clover Hunt - Lisa Lavelle
Math Fundamentals, difficulty level 4. Find out how fast Horton had to work picking clovers. ... more>>

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. ... more>>

I Get A Kick Out Of Soccer! - Judy Ann Brown
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? ... more>>

I Like to Palindrive! - Kristina Lasher
Math Fundamentals, difficulty level 3. How many palindromic numbers will appear on Kristina's odometer in October, 2003? ... more>>

Inching Along Down the Football Field - Terrel Trotter
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? ... more>>

Irish Specials - Lisa Lavelle
Math Fundamentals, difficulty level 3. Calculate the final bill for our St. Patrick's Day dinner last week. ... more>>

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. ... more>>

It's Summer in Melbourne - Claire Mead
Math Fundamentals, difficulty level 2. How many hours of sunlight does Melbourne, Australia, have on its longest day of the year? ... more>>

Jason's Piggy Bank - Claire Mead
Math Fundamentals, difficulty level 2. How many nickels did Jason find in his piggy bank? ... more>>

Jellybean Rectangles - Lisa Lavelle
Math Fundamentals, difficulty level 3. Have fun figuring out strategy in the Jellybean Rectangle game. ... more>>

Jumping Rope - Leon Roland & class
Math Fundamentals, difficulty level 2. Just how long was the rope with which we started? ... more>>

A Larger Garden - Kristina Lasher
Math Fundamentals, difficulty level 2. Can you increase the area of a garden but use less fencing to protect it from the deer? ... more>>

Lawn-Mowing Chore - Judy Ann Brown
Math Fundamentals, difficulty level 4. Find the area of the yard that Josh, Sam, and Mark must mow. ... more>>

Lost in Space - Lisa Lavelle
Math Fundamentals, difficulty level 4. Figure out how big an error the engineers made when they mixed up their units. ... more>>

Lucky Lettuce Land - Kainoa Trotter, et al.
Math Fundamentals, difficulty level 3. Help Farmer Lucky fence his lettuce land. ... more>>

Lunch Bunch Budgets - Lisa Lavelle
Math Fundamentals, difficulty level 2. Determine the number of children needed for the lunch bunch budget to balance. ... more>>

Luscious Lemonade - Judy Ann Brown
Math Fundamentals, difficulty level 3. The label on the lemon concentrate says that I need to mix 2 cups of concentrate with 3 cups of water. How much lemon concentrate should I buy to make 25 gallons of lemonade? ... more>>

The Mad Hatter's Gone! - Leanne Gater
Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese. ... more>>

Math Club Lollipop Profits - Judy Ann Brown
Math Fundamentals, difficulty level 3. The Math Club plans to sell lollipops. Help them to calculate their profit. ... more>>

Meters of Money - Lisa Lavelle
Math Fundamentals, difficulty level 2. Help Ms. Juncos's class determine the amount of money they will raise with this metric project. ... more>>

A Million in Time - Lisa Lavelle
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. ... more>>

Mini-Mall Measurements - Claire Mead
Math Fundamentals, difficulty level 2. Use given measurements of the stores in the mini-mall to find the area and dimensions of other stores. ... 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 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. 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>>

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>>

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

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

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

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

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

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>>

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>>

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

School Spirit - Kristina Lasher
Math Fundamentals, difficulty level 1. Do a little estimating to determine how much money is needed to buy school spirit items. ... more>>

School, Who Has Time? - Lisa Lavelle (old remembered puzzle)
Math Fundamentals, difficulty level 3. Given all the time we spend doing other things, how do we have time for school? ... more>>

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