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Geometry

Problems in this category require students to classify and understand the relations that exist in twodimensional and threedimensional objects. They may require students understand concepts of congruence, similarity, symmetry, or tessellations.
For problems that involve measurement, please see the Measurement topic.
Some of these problems are also in the following subcategories:
 Related Resources

Interactive resources from our Math Tools project:
Math 4: Geometry in the Plane
Math 4: Geometry in Space
The closest match in our Ask Dr. Math archives:
Elementary Geometry
NCTM Standards:
Geometry Standard for Grades 35
Access to these problems requires a Membership.

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.
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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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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.
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Filling the Freezer
 Kristina Lasher

Math Fundamentals, difficulty level 4. How many cartons of ice cream can the Math Club fit in their freezer?
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Frog Farming
 Claire Mead

Math Fundamentals, difficulty level 2. Help Farmer Mead build a rectangular pen that holds the greatest
number of frogs.
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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.
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Hauling Sand
 Claire Mead

Math Fundamentals, difficulty level 2. How many tons of sand can Marty haul in his dump truck?
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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.
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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?
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Jellybean Rectangles
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Have fun figuring out strategy in the Jellybean Rectangle game.
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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.
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Lucky Lettuce Land
 Kainoa Trotter, et al.

Math Fundamentals, difficulty level 3. Help Farmer Lucky fence his lettuce land.
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MiniMall Measurements
 Claire Mead

Math Fundamentals, difficulty level 2. Use given measurements of the stores in the minimall to find the area
and dimensions of
other stores.
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MiniMovie Theater Seating
 Chrissy Stewart (adapted)

Elementary, difficulty level 3. How many rowdy kids can sit in the MiniMovie Theater?
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More Mowing Madness
 George Miller and Lisa Lavelle

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

Math Fundamentals, difficulty level 2. Using a special "Mattmowing" technique, find the dimensions of the last rectangle to be mowed in a 48 ft. by 64 ft. yard.
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Nova Scotia Quilt
 Claire Mead

Math Fundamentals, difficulty level 3. Use the area of a rectangular bed quilt to determine its dimensions.
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Penny Space
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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Puzzling Puzzle Pieces
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Explore the ways 108 puzzle pieces can be arranged.
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Rabbit's Run
 Lisa Lavelle

Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run.
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Special Stars
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain.
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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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Stained Glass Window
 Jackson First Year Algebra Class

Elementary, difficulty level 5. Find the size of a stained glass window for my front door.
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Tangrams
 Claire Mead

Math Fundamentals, difficulty level 2. Discover some of the relationships among the pieces in a set of Tangrams.
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Teresa's Tiles
 Kristina Lasher

Math Fundamentals, difficulty level 3. How many square tiles does Teresa need to cover her bathroom floor?
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The Teddy Bears' Banquet *
 Claire Mead

Math Fundamentals, difficulty level 3. How many bears can be seated at the banquet?
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Trapezoid Teatime
 Claire Mead

Math Fundamentals, difficulty level 3. Find out how many guests can sit at a row of trapezoid tables at the school volunteers' tea.
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Tricky Triangles
 Lisa Lavelle

Elementary, difficulty level 3. Arrange six toothpicks to create special triangles.
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Volume Experiment
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
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