 The Bracelet Craze  Leigh Nataro
Discrete Math, difficulty level 3. Find how many ways beads can be arranged around a bracelet.
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 Choosy Chooser's Choices  Lisa Lavelle
Math Fundamentals, difficulty level 4. Find out how many outfits Charlene can put together for a sunny day.
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 Colors of the Olympic Rings  Suzanne Alejandre
PreAlgebra, difficulty level 2. If we categorize all the flags of the world by the combination of the
Olympic ring colors
that appear in them, how many categories would we have?
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 Come Fly With Me  Ethel Breuche
Discrete Math, difficulty level 3. Applicants to the U.S. Air Force are eligible to become airplane pilots only if they satisfy three conditions. Venn diagrams can be used to determine how many applicants actually qualified.
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 Cool Cubes  Heather Cool and Lisa Lavelle
Math Fundamentals, difficulty level 3. Can Jackie really mark her cubes so that each sum from 1 to 36 is possible?
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 Deranged Uncle Al  Ethel Breuche
Discrete Math, difficulty level 3. Deranged Uncle Al allows each of his four nephews to select a toy, and buys them the four toys. How many different ways can he give each of the boys a toy so that no boy receives the toy he actually selected?
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 The Doughnut Dilemma  Leigh Nataro
Discrete Math, difficulty level 3. How many ways can you choose three doughnuts from six different types of doughnuts?
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 Fall Festival Frolic  Judy Ann Brown
PreAlgebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags?
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 A Great Way to Make Money?  Leigh Nataro
Discrete Math, difficulty level 2. Is it better to rely on a weekly pay of $10, or take a chance on the money that is in a paper bag?
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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 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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 How Many Graphs?  Joseph Rosenstein
Discrete Math, difficulty level 3. How many essentially different graphs are there with six vertices, two of which have degree two, two degree three, and two degree four?
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 Mr. Carmel's Party Plan  Judy Ann Brown
PreAlgebra, difficulty level 2. Help Mr. Carmel's class earn an ice cream party by counting the number of possible sundaes.
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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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 Payment in Kind  Lisa Lavelle (adapted)
Elementary, difficulty level 3. Determine the spouses of three kind women based on the details of their inheritance.
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 Pegging Possibilities  Michael Urbut
PreAlgebra, 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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 Probability on the Board  Ethel Breuche
Algebra, difficulty level 3. On a 6 x 6 grid, what is the probability that a marker starting at (0,0) will pass through (3,3) when moved either north or
east?
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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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 Rampaging Reindeer  Judy Ann Brown
PreAlgebra, difficulty level 3. How many different ways can Santa's reindeer be arranged?
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 Seating Arrangements  Leigh Nataro
Discrete Math, difficulty level 3. How many different ways can three people sit at a 10seat counter so that there are empty seats between them?
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 Summer Shoe Leftovers  Teaching the Young Learner Group
Math Fundamentals, difficulty level 4. Determine which of the leftover shoes might satisfy three shoppers' needs.
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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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 Two Toss  Suzanne Alejandre
PreAlgebra, difficulty level 3. What's the probability that Max scored a point in the Two Toss Game?
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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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 Vinnie Valentine's MixUp  Leigh Nataro
Trig/Calc, difficulty level 4. What is the probability of getting exactly 10 out of 20 valentines to the correct person?
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 Where Should I Sit?  Judy Ann Brown
Middle School, difficulty level 3. On Monday three new students arrived in Mrs. King's homeroom... How many empty seats were there in Mrs. King's room?
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 World Series Champions  Leigh Nataro
Trig/Calc, difficulty level 3. How many ways could a baseball team win a World Series of n games if it must win a majority (one more than half) of the games played?
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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 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 tendigit telephone numbers?
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