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This page:
parts of wholes
 decimals
 fractions
 percentages

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Math Fundamentals
operations with numbers
number sense
number theory
parts of wholes
ratio & proportion
algebraic reasoning
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logical reasoning
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Math Fundamentals
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Math Fundamentals
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Decimals
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These decimal problems reinforce the use of decimals to express fractional values that are less than one. They often involve a measurement task or the result of a division step in a problem.
- Related Resources
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Interactive resources from our Math Tools project:

Math 4: Fractions

Math 4: Percentages
The closest match in our Ask Dr. Math archives:

Elementary Fractions/Decimals
NCTM Standards:

Number and Operations Standard for Grades 3-5
Access to these problems requires a Membership.
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Across Wisconsin
- Jo Wenzler
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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.
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Back-to-School Shopping
- Judy Ann Brown
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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?
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Baseball Trivia
- Judy Ann Brown
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Math Fundamentals, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a mile?
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Building the Fence
- Steve Risberg & Kristina Lasher
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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?
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California Dreaming
- Judy Ann Brown
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Math Fundamentals, difficulty level 3. Determine the length of time that will be needed to drive from Allentown, Pennsylvania, to Los Angeles, California.
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Campers' Cider
- Elizabeth Gardner (Western Oregon University) & Math Forum Staff
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Math Fundamentals, difficulty level 2. How much cider did the campers press for the evening festivities?
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Cat Walk
- Math Olympiad Problem (revised)
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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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Change You Can't Count On
- Claire Mead
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Math Fundamentals, difficulty level 2. What is the greatest amount of money I can have in my pocket?
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Circles Around
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Use this exploration problem to discover the relation between circumference and diameter.
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Common Cents
- Claire Mead
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Math Fundamentals, difficulty level 2. How much money do Monique and Misty each contribute toward Mom's Valentine's candy?
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Filling the Freezer
- Kristina Lasher
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Math Fundamentals, difficulty level 4. How many cartons of ice cream can the Math Club fit in their freezer?
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Giving with Grapefruit
- Lisa Lavelle & Western Oregon University Students
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Math Fundamentals, difficulty level 1. How much will Cassie help raise for charity?
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Holiday Shopping and Surfing
- Lisa Lavelle
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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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Horton's Clover Hunt
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Find out how fast Horton had to work picking clovers.
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Inching Along Down the Football Field
- Terrel Trotter
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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?
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Irish Specials
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Calculate the final bill for our St. Patrick's Day dinner last week.
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A Jar of Coins
- Claire Mead
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Math Fundamentals, difficulty level 2. Use fraction clues to discover how many pennies, nickels, dimes and quarters I have in my
jar.
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Lost in Space
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Figure out how big an error the engineers made when they mixed up their units.
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The Mad Hatter's Gone!
- Leanne Gater
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Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese.
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Math Club Lollipop Profits
- Judy Ann Brown
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Math Fundamentals, difficulty level 3. The Math Club plans to sell lollipops. Help them to calculate their profit.
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Meters of Money
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Help Ms. Juncos's class determine the amount of money they will raise with this metric project.
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More Recess
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Camilla checks out a kickball while Patrick brings his handball. How
much more recess does Patrick save?
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Penny Space
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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Pondering Prescriptions
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Help calculate the amount of antibiotic in each dose of my prescription.
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Pumpkin Pride
- Claire Mead
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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.
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Sprinkler Spray
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden.
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Stained Glass Window
- Jackson First Year Algebra Class
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Elementary, difficulty level 5. Find the size of a stained glass window for my front door.
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Subway Tokens
- Annie Fetter and Claire Mead
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Math Fundamentals, difficulty level 2. How did Samantha know the subway token machine didn't behave as advertised?
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Super Deal Salsa
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk.
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The Twelve Percents of Christmas
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Calculate the percentages of the total gifts received on each of the twelve days of Christmas.
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Water Park Adventure
- Leon Roland & class
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Math Fundamentals, difficulty level 2. How much does each member of the class need to earn to fund the field trip?
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What a Move!
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the number of hours it took the movers to move the Lavelles to their new home, as well as the number of man-hours.
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