 Lieutenant Stone's Troops  Terry Trotter
Algebra, difficulty level 2. Find the number of soldiers, performing in a formal military ceremony, who were marching in various rectangular arrangements.
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 Line Logic  Steve Risberg
Algebra, difficulty level 1. Given five statements, find an equation of a line that makes four of the statements true and one false.
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 The Locker Problem  Ethel Breuche
Discrete Math, difficulty level 2. This classic number theory problem investigates properties of prime numbers, perfect squares, and counting in a problem that involves opening and closing locker doors.
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 Louis And Boris Get Even  Ethel Breuche
Algebra, difficulty level 2. After taking their respective hormone pills, Louis is growing and Boris is shrinking. How long will it take before they become the same height?
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 Lucie and Daryl's Bike Ride  Terry Trotter
Algebra, difficulty level 2. A sister and brother who ride bikes provide us with a math challenge concerning distance, rate, and time.
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 Making Triangles  Steve Risberg
Algebra, difficulty level 4. The lengths of three segments are represented by (n + 2)^2, 9, and n(n
+ 5). Determine for what values of 'n' these three segments can be
used to form a triangle.
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 Many or Money?  Steve Risberg
Algebra, difficulty level 3. Help the Student Council decide how much to charge for tickets to the concert.
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 Marathon Mitch  Terry Trotter
Algebra, difficulty level 2. Mitch runs a road race and increases speed twice during the race.
Given his total finishing time, determine his standard running rate.
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 The Math Club Holiday Party  Judy Ann Brown
Middle School, difficulty level 2. The Math Club is having a holiday party. If the presents are opened in 5 minute intervals starting at 1:00 p.m. the last gift will be opened starting at 5:35 p.m. How many club members are there?
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 Mathematics Club Membership  Judy Ann Brown
Middle School, difficulty level 2. Find the number of students in the Mathematics Club using the given information.
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 Maxwell's Mowing  Terry Trotter
Algebra, difficulty level 1. Maxwell mows rectangular lawns by mowing around the rectangle, leaving a smaller rectangle. If the lawn is 200 feet by 120 feet, how wide a swath has he mowed so far if his mower runs out of gas 1/4 of the way through?
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 Measuring Melons  Suzanne Alejandre, Claire Mead
PreAlgebra, difficulty level 3. Students determine how much each type of fruit weighs.
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 The Mensa Toy Store  Terry Trotter
Algebra, difficulty level 2. The prices are strange in this store. Can you decipher them?
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 Midpoint Magic  Terry Trotter
Algebra, difficulty level 4. Connecting the midpoints of a general quadrilateral yields a special new foursided figure. What is it?
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 Milly Miffin's Muffins  J. A. H. Hunter
Algebra, difficulty level 2. Milly Miffin et al. are muffin makers extraordinaires, and they make muffins mathematically, too. The question is, how many?
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 Milo's Mile  Stephen Weimar, Annie Fetter, Suzanne Alejandre
PreAlgebra, difficulty level 2. Use data to describe how the number of minutes it takes Milo to run a
mile changes as his
speed changes.
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 Mind Reading  Annie Fetter
Algebra, difficulty level 1. Use variables to show how a numberbased "magic trick" works.
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 Missing Angle Mystery  Terry Trotter
Algebra, difficulty level 2. Help Detective Sam Spade solve a robbery of valuable polygons from Mrs. Hempstead's famous collection.
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 Mixing Marbles  Stephen Weimar
PreAlgebra, difficulty level 3. Find how many marbles each person had at the beginning.
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 Money in the Bank  Judy Ann Brown
Middle School, difficulty level 2. All but seven of the 49 coins in my bank are quarters and nickels. How much money could I have?
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 Motorcycle Daredevil  Terry Trotter
Algebra, difficulty level 4. A motorcycle stunt person needs some math equation work to calculate her most daring feat: jumping between ramps at high speeds.
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 Mr. Cramer's Cousins  Terry Trotter
Algebra, difficulty level 3. Find the ages of two young men by using Cramer's Rule to solve a system of linear equations.
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 Mr. Green's Birthday  Ethel Breuche
Algebra, difficulty level 1. Mr. Green has a birthday but will not tell his age directly. Can you figure out his age based on the clues?
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 Music Survey  Ethel Breuche
Algebra, difficulty level 2. Students were surveyed about their favorite music groups. Some liked Hole, others U2, and still others Third Eye Blind. Given all the clues, how many students were surveyed, how many preferred only U2, and how
many liked
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 My Bag of Marbles  Terry Trotter
Algebra, difficulty level 2. Find the probability of drawing a blue marble after additional marbles have been placed in a bag.
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 My Grandfather's Clock  Ethel Breuche
Algebra, difficulty level 3. Listening to the chimes, what would be the
longest time I would have to wait to be sure of exactly what time it was?
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 The Operations Grid  Annie Fetter
Algebra, difficulty level 2. Use variables to explore whether this grid works for the four basic operations.
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 Painting Partners  Terry Trotter
Algebra, difficulty level 1. Two house painters combine their skills and talents to make short order of a painting job.
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 Paper and the Moon  Ethel Breuche
Algebra, difficulty level 4. Students need to express their answers in scientific notation and know how to work in the metric system as well as do conversions to answer this papertearing problem.
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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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 Peanuts and Cashews  Terry Trotter
Algebra, difficulty level 1. Find the proper mixture of nuts that have a certain price rate to be sold in the nut store.
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 Penguin Fun  Bob Coulter
Elementary, difficulty level 2. Three penguins go to an amusement park. Can they all take the same ride?
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 Perfect Apples  Melissa Kennedy
Algebra, difficulty level 2. Of 6000 apples, we have some that are too small, some too green, and others that are bruised. How many are perfect apples?
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 Perfect Timing  Steve Risberg & Stephen Weimar
PreAlgebra, difficulty level 3. Find out what time Eva and Aurora reached the resort.
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 PhoneOGraph Phollies  Bill Graham
Algebra, difficulty level 2. Students are asked to use algebra to compare three telephone calling plans to determine at what number of calls each plan would be preferable.
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 A Phoney Deal?  Steve Risberg
Algebra, difficulty level 2. Compare two cell phone pricing plans to determine for how many minutes
of calls per month each one is the better deal.
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 Polynomial Power  Steve Risberg
Algebra, difficulty level 3. Given the value of one variable expression, can you use it to find the value of others?
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 Poolish Pride?  Steve Risberg
Algebra, difficulty level 3. Two competitive brothers build rectangular pools of similar shape but
different size. Given some information relating the lengths and
widths, find the area of the larger pool.
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 Porky Pig's Popcorn Diet  Terry Trotter
Algebra, difficulty level 4. Porky is put on a special diet plan so that he can enjoy his favorite snack: POPCORN!
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 Presidential Approval Rating  Ethel Breuche
Algebra, difficulty level 3. Students were given a questionnaire. Only 60 percent of the students answered, and of those 55 percent said they approved of the President. What is the maximum number of students who approved of the President?
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 Pressed for Time  Steve Risberg
Algebra, difficulty level 2. Due to a late breaking story, a newspaper must use both presses to get
an edition printed in time. Find how long it takes to print a normal
edition using only the newer press.
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 The Price of Pollo  Terry Trotter
Algebra, difficulty level 2. Use a linear equation model to predict a future price of fried chicken.
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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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 A ProductPlus1  Terry Trotter
Algebra, difficulty level 3. The product of any four consecutive integers, increased by one, is always a square number. Give at least three instances of that statement and prove that this will always occur by finding an algebraic expression for that
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 The Professors' Primes  Terry Trotter
Algebra, difficulty level 2. Find the product of three prime numbers that three professors pick.
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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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 Proofs Without Words I  Annie Fetter
Geometry, difficulty level 2. Explain how these pictures and algebraic expressions are related. Draw your own picture that illustrates an algebraic concept.
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 Pythagoras and Y2K  Terry Trotter
Algebra, difficulty level 4. Find Pythagorean triples for which this special year, Y2K (2000), is one of the three numbers in the triple.
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 Ration Ratios  Steve Risberg
Algebra, difficulty level 3. Determine the ratio of vegetarian meals to vegetarians at the luncheon.
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 Romance by Rowboat  Terry Trotter
Algebra, difficulty level 1. Romance on the river motivates a nice upstreamdownstream sort of problem.
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