- New York Tours - Sharon Edelkind
Discrete Math, difficulty level 2. Use vertex coloring to solve conflicting New York tour bus routes.
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- Olympic Rings Repair - Lisa Lavelle
Math Fundamentals, difficulty level 3. Help answer Jellybean's question about the Olympic rings.
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- Paper, Scissors, Rock - Leigh Nataro
Discrete Math, difficulty level 2. How many ways can Timmy go broke or win $3 in the game of paper, scissors, rock?
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- Pegging Possibilities - Michael Urbut
Pre-algebra, difficulty level 2. Explore the number of possible arrangements of pegs in this logic game.
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- Ping Pong Tournament
Discrete Math, difficulty level 3. Organize a Ping Pong (table tennis) singles tournament for your class.
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- Pothole Repair - Leigh Nataro
Discrete Math, difficulty level 2. Plan a route for the road crews to take.
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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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- Quiz Quandary - Leigh Nataro
Discrete Math, difficulty level 4. Using probabilities and matrices, determine the probability of doing well on a quiz.
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- Rampaging Reindeer - Judy Ann Brown
Pre-algebra, difficulty level 3. How many different ways can Santa's reindeer be arranged?
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- Rock Star Poisoned - Ethel Breuche
Discrete Math, difficulty level 1. Malonda is found poisoned in her dressing room. Solve this murder mystery using the clues given.
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- Roses, Roses, Roses - Larry Sue
Discrete Math, difficulty level 1. Bob must bring his girlfriend roses to say he's sorry. Explore some of the ramifications of combining modular arithmetic and interpersonal relationships.
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- 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?
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- Seating Arrangements - Leigh Nataro
Discrete Math, difficulty level 3. How many different ways can three people sit at a 10-seat counter so that there are empty seats between them?
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- A Series of Numbers - Ethel Breuche
Discrete Math, difficulty level 3. Find the sum of the first n positive odd integers, find a formula, and prove it.
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- Sokoban - Stephen Maurer
Discrete Math, difficulty level 3. Solve this game in the fewest number of moves and prove your solution.
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- Student Council Elections - Judy Ann Brown
Pre-algebra, difficulty level 4. Find the number of ways names can be arranged on the student council ballot, and figure the odds that a brother and sister will both be listed first in their respective races.
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- Sum of a Sequence - Ethel Breuche
Discrete Math, difficulty level 3. Determine the sum of a sequence of numbers in terms of n: 1, (1+2), (1+2+22),(1+2+2^2+2^3)... (1+2+2^2+2^3...2^(n-1) ).
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- The Take Away Game - Leigh Nataro
Discrete Math, difficulty level 3. Find the strategy to guarantee that you will always win in this game.
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- The Termite and the Cube - Jared Hammond
Discrete Math, difficulty level 1. Can a termite, traveling only vertically or horizontally through a 3x3x3 Rubik-like cube, go through every cube exactly once and wind up in the very center?
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- Timeline Trivia - Leigh Nataro
Discrete Math, difficulty level 5. What is the probability of getting all ten historical events in the wrong order?
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- The Tiny Town of Smallsville - Leigh Nataro
Discrete Math, difficulty level 2. An exercise in recursion: Based on birth and death data, how long will it take the town of Smallsville to double its population?
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- Train Travel - Dona Coffey
Discrete Math, difficulty level 2. Dona is in charge of setting up a new train service to connect nine towns in a county. What's the minimum cost?
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- Trick-or-Treat Route - Judy Ann Brown
Pre-algebra, difficulty level 4. Which of the many possible routes should the Anderson children take on their Halloween trek?
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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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- Vertices, Edges, and Regions - Leigh Nataro
Discrete Math, difficulty level 2. Find a relation among vertices, edges, and regions of planar graphs.
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- Voting on Survivor - Leigh Nataro
Discrete Math, difficulty level 2. Using a modified Borda count method, figure out how many people voted for each preference schedule to produce a tie.
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- A Voting Problem - Leslie Johnson Nielsen
Discrete Math, difficulty level 2. Election theory: investigate the concept of plurality in voting and discuss its fairness.
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- Wacky’s Fun and Games Amusement Park - Natasha Hosein
Discrete Math, difficulty level 4. How can we minimize the number of clowns around the amusement park so that a child will never see two clowns at the same site?
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- Welcome Back - Leigh Nataro
Discrete Math, difficulty level 3. Find the probability of spelling "Welcome Back" when cards with each letter are flipped over.
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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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- Which is the Dominant Team? - Jennifer Stetz, Nicole Zayatz
Discrete Math, difficulty level 3. Determine which soccer team dominates the division.
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- Who Broke Mom's Favorite Vase? - Leigh Nataro
Discrete Math, difficulty level 1. Using logic, determine who is lying and who is telling the truth about who broke Mom's favorite vase.
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- Will It Be Pumpkin Pie? - Leigh Nataro
Discrete Math, difficulty level 4. Based on voting coalitions and power indices, who has more power in deciding what will be served for dessert?
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- Wraparound Universe - Jeff Weeks
Pre-algebra, difficulty level 4. Explore the game of tic-tac-toe using a cylindrical tic-tac-toe board.
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- Yearbook Deadlines - Leigh Nataro
Discrete Math, difficulty level 2. Find the critical path to determine the earliest time that the school yearbook can be completed.
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- Your Phone Number, Please - Ethel Breuche
Discrete Math, difficulty level 1. What is the least number of area codes necessary to guarantee that the thirty million phones needed in a state have distinct ten-digit telephone numbers?
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