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Fractions, Decimals, and Percentages

Problems in this category require knowledge of fractions, decimals, and percentages including understanding the effects of arithmetic operations on these numbers and skill in converting between them. They may also require understanding of percents greater than 100 and less than 1.
 Related Resources

Interactive resources from our Math Tools project:
Math 7: Fractions
Math 7: Percentages
The closest match in our Ask Dr. Math archives:
Middle School: Fractions & Percentages
From our Teacher2Teacher service:
FAQ: Fraction Help
NCTM Standards:
Number and Operations Standard for Grades 68
Access to these problems requires a Membership.

BacktoSchool 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?
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Batter Up!
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Use statistics to help Lee convince his manager to give him a raise.
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Building a Snow Statue
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the height of a snow statue using the given information.
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Buying Cola
 Leon Roland & class

PreAlgebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy?
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Cara's Cookies
 Cynthia Lanius

PreAlgebra, difficulty level 2. How many cookies did Cara make for the Math Club Bake Sale?
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Car Rental Quandary
 Judy Ann Brown

PreAlgebra, difficulty level 3. Compare the car rental deals using the given information.
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Citius, Altius, Fortius
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Would recordholding speed skaters and runners break the speed limit in a residential zone?
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Coast to Coast Driving Costs
 Suzanne and Richard Alejandre

PreAlgebra, difficulty level 2. If the price of gas has increased 61% in the five years since we took
our first coast to coast
trip in October 2000, what would it cost per mile to make the same
trip in October of 2005?
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Coin Count
 Roya Salehi and Judy Ann Brown

PreAlgebra, difficulty level 3. Use the given information to determine the number of nickels and dimes in Lisa's bank.
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Cyndy's Curtains
 Cynthia Paul, Suzanne Alejandre, Annie Fetter

PreAlgebra, difficulty level 2. How many sets of shorter curtains can Cyndy make from the one set of
extralong curtains
that she already has?
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Cynthia's Solitaire Challenge
 Cynthia Lanius, Suzanne Alejandre

PreAlgebra, difficulty level 2. Help Cynthia think about how to keep her winning percentage at 90% or
above.
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Dishwasher Discounts
 Pat Hagan

PreAlgebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal.
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Downhill All the Way
 Judy Ann Brown

PreAlgebra, difficulty level 2. Starting at 10,000 feet above sea level, descending a 6% grade followed by a 4% grade will put a car how many feet above sea level?
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Do you listen to WMTH or WALG?
 Judy Ann Brown

PreAlgebra, difficulty level 4. Each week listeners switch radio stations. Predict the longterm distribution of listeners for each station.
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Drama Dollars
 Andrea Stitt and Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the percentage of the earnings that came from the adult tickets sold by the school drama club.
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Duke is Missing
 Judy Ann Brown

PreAlgebra, difficulty level 3. Duke's head is 6 inches long, his tail is as long as his head plus half the length of his body, and his body is as long as the head and tail combined. How long is Duke?
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Election Day in Prealgpoweria
 Steve Risberg, Suzanne Alejandre

PreAlgebra, difficulty level 3. How many votes does each candidate in Prealgpoweria receive and how
many eligible voters are there?
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Gas Guzzlers
 Mai Sidawi and Lillian Ray

PreAlgebra, difficulty level 2. Students are asked to decide which car model to replace to get the
most savings in gas costs.
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The Good Samaritan
 Piedmont High School 2nd and 7thperiod Geometry Classes

PreAlgebra, difficulty level 4. Can the butler afford the paint needed to repair the sign? Did the butler do it?
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He Ate It All!
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza.
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A Holiday Gift for Grandmother Brown
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the cost of the dishwasher and the contribution from each of five children.
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Homerun Percentages
 Judy Ann Brown

PreAlgebra, difficulty level 3. Baseball box scores give us a chance to practice percent skills.
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January Sales
 Judy Ann Brown

PreAlgebra, difficulty level 2. Mathematicians, put away your calculators and help Lynne estimate the cost of a set of golf clubs.
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Join Us for a Quarterpound Burger
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Work with fractions and percents to help plan this cookout.
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Lemonade Fun
 Maria Fung and her students

PreAlgebra, difficulty level 2. How many cups of each size lemonade did Jose and Nick sell?
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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.
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Membership Boom!
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the number of students involved in the Math Club, and the number of students in the school.
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Mikey and Lily Eat Cereal
 Stephen Weimar, Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 3. How much of a box of cereal do Mikey and Lily each have left?
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Milk Madness
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes.
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The Most Appealing Nose Contest
 Judy Ann Brown

PreAlgebra, difficulty level 3. Use the given information to determine the amount of money raised for the Humane Society by the Student Council.
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My Almond Cookie Bake
 Lisa Lavelle

PreAlgebra, difficulty level 3. Convert this cookie recipe to feed the March Madness celebrators.
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New Home for Fibonacci and Fractal
 Judy Ann Brown

PreAlgebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15gallon aquarium.
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The Nutty Squirrel
 Alice Miller

PreAlgebra, difficulty level 3. How high could a human jump if she could jump with the power of a squirrel?
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Oceans of Fun
 Judy Ann Brown

PreAlgebra, difficulty level 3. Help the Math Club approximate the portion of the Earth's surface that is covered by the oceans.
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Office Tile Choice
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the total cost of purchasing tiles for my office.
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Olympic Temperature
 Judy Ann Brown

PreAlgebra, difficulty level 3. Compare the difference in temperatures between Sydney, Australia at 14 degrees Celsius and Swarthmore, Pennsylvania, U.S.A. at 63 degrees Fahrenheit.
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Postal Rates
 Richard Tchen, Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the largest percentage increase in stamp price.
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A Pound of Valentine's Chocolates
 Suzanne Alejandre, Claire Mead

PreAlgebra, difficulty level 2. How long should a one pound box of chocolates last if Isolde eats it
alone?
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Price Fluidity
 Judy Ann Brown

PreAlgebra, difficulty level 2. Compare the pergallon cost of eleven different liquids, and put them in order from least to most expensive.
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Scientific Sums
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation.
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Sharing Birthday Cake
 Ian Underwood

PreAlgebra, difficulty level 2. Ian and his father have the same birthday, and share a cake based on the ratio of their ages. Determine when Ian will get certain amounts of cake.
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Shine On Harvest Moon
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the area of the largest circle that can be cut from a nineinch by twelveinch sheet of paper.
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The Silver Mile
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the total value of the coins in a silver mile.
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A Snowy Driveway
 Claire Mead

PreAlgebra, difficulty level 3. Usually Bertha and Gertrude shovel snow together. How long would it
take Bertha to shovel the same amount alone?
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Spring Garden Planning
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
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Super Bowl XXXIII
 Judy Ann Brown

PreAlgebra, difficulty level 2. Based on the winners and points scored during the past 15 Super Bowl games, which team should win Super Bowl XXXIII?
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A Surfer's Tessellation
 Mr. Marthinsen's First Period Class

PreAlgebra, difficulty level 2. Shane is retiling his surf shack. How many of each kind of tile will he need, and what does a big tile cost?
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Temperature Change
 Judy Ann Brown

PreAlgebra, difficulty level 2. Use the given information to find the temperature.
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Thanksgiving Travel
 Suzanne Alejandre & Maria Fung and her students

PreAlgebra, difficulty level 3. Help Zach decide whether to take the PA Turnpike or the scenic route to see his parents for Thanksgiving.
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Top Notch Nose Contest*
 Judy Ann Brown, Suzanne Alejandre

PreAlgebra, difficulty level 2. Use the given information to determine how many photos of pets were
entered in the contest.
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Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
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Waste Not, Want Not
 Suzanne and Richard Alejandre

PreAlgebra, difficulty level 2. Explain what you know about the number of bananas the store had at the
beginning of the
week.
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Which Coupon Is Better?
 Cynthia Paul

PreAlgebra, difficulty level 1. Help Cynthia decide which coupon will save her more money when she
goes to the store to
buy sheets.
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