 3D Vision  Annie Fetter
PreAlgebra, difficulty level 3. When you fold up the given net of a cube, what shape is formed by the segments on the faces of the cube?
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 As Far as the Eye Can See  Annie Fetter
Geometry, difficulty level 4. If I'm 5'10" tall, can I see the entire length of Lake Memphramagog, which is about 23 miles long?
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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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 Count to Ten?  Leigh Nataro
Trig/Calc, difficulty level 3. Use the given clues to determine the base system for counting used by people of the planet Torus.
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 Cup Capacity  Leigh Nataro
Trig/Calc, difficulty level 3. Find the volume of a cup based on its dimensions.
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 Different Views  Annie Fetter
Geometry, difficulty level 3. Given a front, top, and side view of an object, find the volume of that object.
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 Doughnut Dilemma  Leigh Nataro
Trig/Calc, difficulty level 2. Which doughnut shop makes a doughnut with a greater volume?
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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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 Find the Volume of a Box  Annie Fetter
Geometry, difficulty level 2. Given the surface area of three sides, find the dimensions and volume of a rectangular box.
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 Football Volume  Leigh Nataro
Trig/Calc, difficulty level 3. Given the dimensions of a football, find its volume.
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 Googol the Giant's Gargantuan Goblet  Leigh Nataro
Trig/Calc, difficulty level 2. Find the volume of Googol the Giant's elliptical paraboloid goblet.
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 Jill and Jimmy  Soap Bubbles  Annie Fetter
Geometry, difficulty level 3. You're given two spheres with centers 14 cm apart. If the two spheres intersect in a circle whose radius is 12 cm, and the radius of one sphere is 13 cm, what's the radius of the other sphere?
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 Job Interview at the CanCan Company  Leigh Nataro
Trig/Calc, difficulty level 3. Find the smallest amount of tin needed to make a can that can hold 12 cubic inches.
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 Journey Through Outer Space  Annie Fetter
Geometry, difficulty level 2. How many Earths can fit in Uranus?
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 Learning About GPS  Annie Fetter
Geometry, difficulty level 4. What percentage of the surface of the earth can be seen by a satellite orbiting at an altitude of 20,200 km? Are the Global Positioning System satellites "geosynchronous"?
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 The Ninja Mission  Steve Earth
Trig/Calc, difficulty level 4. Find the measurement of a spike's angle, given the star's perimeter.
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 Painting a Cube  Annie Fetter
Geometry, difficulty level 3. A large cube, made up of smaller cubes, has some of its faces painted. When it's taken apart, 24 of the small cubes have no paint on them. How big was the large cube, and how many of its faces were painted?
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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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 Picking Painted Cubes  Annie Fetter
Geometry, difficulty level 2. A large cube, composed of smaller cubes, is painted on all sides. The edge length is five small cubes. It's then broken apart and the smaller cubes are put in a bag. What are the odds that a chosen cube is painted on three
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 Pi Day  Let's Eat Cake!  Judy Ann Brown
PreAlgebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
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 Pi Day Treats  Judy Ann Brown
PreAlgebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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 Playing with Blocks  Annie Fetter
Geometry, difficulty level 4. A large cube is made up of 13 double cubes like the smaller one shown, plus a single cube. What color is the single cube, and where does it have to be?
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 Playing with Matchsticks  Annie Fetter
Geometry, difficulty level 2. Thirteen matchsticks are arranged to make six equal regions. Take away one of the matchsticks and arrange the remaining twelve so that they still make six equal regions.
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 Playing with Paint  Annie Fetter
Geometry, difficulty level 2. Explain what threedimensional solid would make a given "trail" if it were dipped in paint and rolled on the floor.
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 Round the World on a Wire  Terry Trotter
Algebra, difficulty level 2. A wire is wrapped around the equator of the earth. Then extra wire is spliced in. Can you walk under the slack that results?
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 Save the Lake!  Annie & Tom Fetter
Geometry, difficulty level 2. How far does the water level drop if you take 900,000 gallons of water out of a lake with a surface area of 334 acres?
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 Slicing a Cube  Annie Fetter
Geometry, difficulty level 3. Given a cube with a surface area of 54 cm^2, find the perimeter of the square cross section and that of the largest rectangular cross section of that cube.
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 Snow Removal  Annie Fetter
Geometry, difficulty level 4. How many times would the snow in the Math Forum parking lot fill my office? How many pounds does all that snow weigh?
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 Something Fishy  Basden's 8th Hour MathDogs
Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond.
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 The Spiral on the Can  Ethel Breuche
Algebra, difficulty level 3. By using the Pythagorean theorem, students can find the length of the spiral painted on a can.
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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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 The Sun vs. the Earth  Annie Fetter
Geometry, difficulty level 1. Would one million Earths really fit inside the sun?
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 The SuperUltraMegaBig Cup  Alvirne High School Calculus Class
Trig/Calc, difficulty level 3. What is the minimum cost to make a cup based on given information?
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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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 Volume Experiment  Judy Ann Brown
Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
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 Wraparound Universe  Jeff Weeks
PreAlgebra, difficulty level 4. Explore the game of tictactoe using a cylindrical tictactoe board.
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 Your Interview Question Is...  Leigh Nataro
Trig/Calc, difficulty level 3. If you want to minimize the surface area of a can with a fixed volume, what should be the ratio of the height to the radius?
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