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All Sites - 32 items found, showing 1 to 32
 Add It Up - Leigh Nataro Trig/Calc, difficulty level 2. Find the sum for an infinite series. ...more>> An Apportionment Problem - James Greene Discrete Math, difficulty level 4. Students apportion the representatives in their class using the Hamilton method of apportionment. ...more>> Costly Cable - Leigh Nataro Trig/Calc, difficulty level 3. Find where to lay a fiber optic cable in order to minimize the cost. ...more>> 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? ...more>> 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? ...more>> Ellipse Areas - Leigh Nataro Trig/Calc, difficulty level 3. Use calculus to show that the area of an ellipse is pi*a*b. ...more>> 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. ...more>> First Presidential Veto - William Bowdish Discrete Math, difficulty level 4. This problem involves the Jefferson, Adams, and Webster apportionment methods. ...more>> 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. ...more>> 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? ...more>> How Are These Equal? - Leigh Nataro Trig/Calc, difficulty level 2. Solve a trig identity: cot2x - cos2x equals the product of cot2x and cos2x. ...more>> King Euler's Blueprint - Leigh Nataro Discrete Math, difficulty level 1. Can you walk a path that will go through every doorway once? ...more>> 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. ...more>> 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? ...more>> Let's Measure the Earth - Leigh Nataro Trig/Calc, difficulty level 3. Use Eratosthenes' measurements to calculate the radius of the earth. ...more>> 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. ...more>> One Area - Many Solutions - Leigh Nataro Trig/Calc, difficulty level 2. Find the area of a triangle given the coordinates of its vertices. ...more>> Painting the Sine Curve - Leigh Nataro Trig/Calc, difficulty level 4. Find the length of the sine curve that would fill a 6-ft by 100-ft rectangle. ...more>> 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. ...more>> 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. ...more>> 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. ...more>> 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? ...more>> 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? ...more>> Seating Arrangements - Judy Ann Brown Pre-Algebra, 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? ...more>> A Sprinkling of Dust - Leigh Nataro Trig/Calc, difficulty level 2. Find the length of the Cantor Set after n iterations. ...more>> Triangles, Sines, and Areas - Leigh Nataro Trig/Calc, difficulty level 3. Show that the area of any triangle is .5*b*c*sin(A). ...more>> 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. ...more>> 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? ...more>> 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. ...more>> What Is My Dimension? - Leigh Nataro Trig/Calc, difficulty level 4. Find the fractal dimension of the Koch curve. ...more>> 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? ...more>> 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? ...more>>
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