 Add It Up  Leigh Nataro
Trig/Calc, difficulty level 2. Find the sum for an infinite series.
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 An Apportionment Problem  James Greene
Discrete Math, difficulty level 4. Students apportion the representatives in their class using the Hamilton method of apportionment.
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 Costly Cable  Leigh Nataro
Trig/Calc, difficulty level 3. Find where to lay a fiber optic cable in order to minimize the cost.
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 A Day at the Fairs  Terry Trotter via Kraitchik & Chuquet
Algebra, difficulty level 2. A merchant went selling and buying at three city fairs. Did he make a profit or take a loss?
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 Descartes' Triangle?  Annie Fetter
Geometry, difficulty level 3. Two vertices of a triangle are located at (0,6) and (0,12). If the area of the triangle is 12 square units, where can the third vertex be? What if the triangle is also isosceles?
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 Ellipse Areas  Leigh Nataro
Trig/Calc, difficulty level 3. Use calculus to show that the area of an ellipse is pi*a*b.
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 Ferris Wheel Function  Leigh Nataro
Trig/Calc, difficulty level 3. Based on given information, determine a function to describe the height above the ground of a person on a Ferris wheel as a function of time.
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 First Presidential Veto  William Bowdish
Discrete Math, difficulty level 4. This problem involves the Jefferson, Adams, and Webster apportionment methods.
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 Four Men and Some Money  Daboll
Algebra, difficulty level 1. Four men (A, B, C, & D) are splitting up a quantity of money ($100), and need your help to do it.
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 Happy Birthday to You, & You, & You...  Leigh Nataro
Trig/Calc, difficulty level 3. What is the probability that in a room of 30 people, at least two people will share the same birthday?
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 How Are These Equal?  Leigh Nataro
Trig/Calc, difficulty level 2. Solve a trig identity: cot2x  cos2x equals the product of cot2x and cos2x.
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 King Euler's Blueprint  Leigh Nataro
Discrete Math, difficulty level 1. Can you walk a path that will go through every doorway once?
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 The Koch Snowflake  Ethel Breuche
Discrete Math, difficulty level 3. Students are asked to find the length of the side of an equilateral triangle that generated the given Koch Snowflake.
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 The Length of Larry's Rectangle  Larry Sue
Algebra, difficulty level 2. Larry wants to know the length of his rectangle. Can you help him?
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 Let's Measure the Earth  Leigh Nataro
Trig/Calc, difficulty level 3. Use Eratosthenes' measurements to calculate the radius of the earth.
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 Meters of Money  Lisa Lavelle
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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 One Area  Many Solutions  Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of a triangle given the coordinates of its vertices.
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 Painting the Sine Curve  Leigh Nataro
Trig/Calc, difficulty level 4. Find the length of the sine curve that would fill a 6ft by 100ft rectangle.
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 A Parabola Proof  Leigh Nataro
Trig/Calc, difficulty level 3. Prove that the area of a parabola is 2/3 the product of its width and height.
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 Profits and Lots  Terry Trotter
Algebra, difficulty level 1. A person buys some land, keeps some for himself, divides the rest into lots, and sells them, thus making a profit.
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 Pushing Pennies  Lisa Lavelle
Math Fundamentals, difficulty level 3. Estimate the number of pennies that you can fit on a sheet of paper, then evaluate your estimate.
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 Rationals and Irrationals  Asher Walkover
Trig/Calc, difficulty level 2. Can you sum two irrationals and get a rational? Can you take an irrational number to an irrational power and get a rational?
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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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 Seating Arrangements  Judy Ann Brown
PreAlgebra, difficulty level 3. Four new students arrive in Mrs. Brown's homeroom. After a few minutes she turns to them and says, "There are 1680 ways
that you can sit in the empty seats." How many empty seats are there in the room?
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 A Sprinkling of Dust  Leigh Nataro
Trig/Calc, difficulty level 2. Find the length of the Cantor Set after n iterations.
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 Triangles, Sines, and Areas  Leigh Nataro
Trig/Calc, difficulty level 3. Show that the area of any triangle is .5*b*c*sin(A).
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 Triangular Number Identities  Terry Trotter
Algebra, difficulty level 3. Prove two famous theorems of ancient number theory: the sum of any two consecutive triangular numbers is a square number, and the product of 8 and any triangular number, increased by 1, is a square number.
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 Ursala is Undecided  Melissa Kennedy, Ethel Breuche
Discrete Math, difficulty level 1. Poor Undecided Ursala has many paths to choose to get from point A to point S. Exactly how many paths does she have a choice of taking?
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 The West Nile Virus Carrying Mosquito Problem  Lorraine Lurie
Discrete Math, difficulty level 2. Getting the trucks to spray for the virus in all five boroughs involves knowledge of some elementary graph theory and Euler's
theorems regarding traversible graphs.
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 What Is My Dimension?  Leigh Nataro
Trig/Calc, difficulty level 4. Find the fractal dimension of the Koch curve.
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 Where Did It Come From?  Leigh Nataro
Trig/Calc, difficulty level 3. Find the three fractions that produce a given sum. What is a unit fraction?
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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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