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Ratio and Proportion

These problems require students to understand and use ratios and proportions to represent quantitative relationships.
 Related Resources

Interactive resources from our Math Tools project:
Math 4: Ratio and Proportion
The closest match in our Ask Dr. Math archives:
Middle School Ratio and Proportion
NCTM Standards:
Number and Operations Standard for Grades 35
Access to these problems requires a Membership.

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 twoweek problem.
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Anthony's Famous Butter Rolls
 Kristina Lasher

Math Fundamentals, difficulty level 2. How many rolls will Anthony need to bake for the family's Thanksgiving feast?
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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.
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At the Movies
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Explore the changes in movie and theater prices.
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The Big Balloon Blowup
 Leon Roland & class

Math Fundamentals, difficulty level 3. Help Ulrike and Lars determine the number of balloons in each bag.
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Building Barns *
 Claire Mead

Math Fundamentals, difficulty level 3. How long will it take Amy's crew to build a barn?
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Catching Up!
 Kristina Lasher

Math Fundamentals, difficulty level 3. Marika is catching up to her father's age. How can that be?
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Cat Walk
 Math Olympiad Problem (revised)

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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Circles Around
 Lisa Lavelle

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

Math Fundamentals, difficulty level 2. How much money do Monique and Misty each contribute toward Mom's Valentine's candy?
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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?
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Horton's Clover Hunt
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Find out how fast Horton had to work picking clovers.
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How Old is Mia?
 Claire Mead

Math Fundamentals, difficulty level 3. Use Mia's clues to find how old she is.
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How Safe Is Your Bike?
 Chief Brian Craig and Lisa Lavelle

Math Fundamentals, difficulty level 3. Compare the bicycle theft rates in three different cities.
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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?
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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.
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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.
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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).
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Neighborhood Watch
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Find out how many trips will be made around the neighborhood in this watch program.
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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?
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Pondering Prescriptions
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Help calculate the amount of antibiotic in each dose of my prescription.
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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.
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Raisin Nut Cookies
 Marsha May

Math Fundamentals, difficulty level 4. Sarah needs to convert her cookie recipe for her cousin.
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Sacagawea Cheerios
 Stephen Maurer

Math Fundamentals, difficulty level 3. Determine how many Sacagawea coins the government will give away during this Cheerios promotion.
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Something Fishy
 Basden's 8th Hour MathDogs and Claire Mead

Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi to go in the fish pond.
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Splish Splash
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
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Sprinkler Spray
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden.
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Subway Subtotals
 Kristina Lasher

Math Fundamentals, difficulty level 2. When people ride the subway, they can pay with money, tokens, or transit cards. How did the people in my subway car pay their fare this morning?
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Toys To Go
 Claire Mead

Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store.
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Volunteering at the Food Bank
 Abby Martin

Math Fundamentals, difficulty level 2. Calculate the number of volunteer hours needed to keep a food bank in operation.
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Water Fun?
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine how long it would take for a 30gallon water heater to empty.
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Wheels R Us
 Claire Mead

Math Fundamentals, difficulty level 2. How many bicycles does Danielle have in her cycle shop?
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