 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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 The Most Appealing Nose Contest  Judy Ann Brown
PreAlgebra, difficulty level 3. Use the given information to determine the amount of money raised for the Humane Society by the Student Council.
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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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 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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 The Mystery Quadrilateral  Annie Fetter & Dr. Math
Algebra, difficulty level 2. Three consecutive sides of a quadrilateral are 2, 6, 9, and x. If
the
diagonals are perpendicular, what's x?
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 Nine Congruent Rectangles  Annie Fetter
Geometry, difficulty level 2. Nine congruent rectangles form a larger rectangle whose area is 720 units^2. What's the perimeter of the large rectangle?
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 Number, Please!  Terry Trotter
Algebra, difficulty level 4. Given two telephone calling plans, find the point at which the monthly bills would be the same.
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 The Nutty Squirrel  Alice Miller
PreAlgebra, difficulty level 3. How high could a human jump if she could jump with the power of a squirrel?
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 Olympic Temperature  Judy Ann Brown
PreAlgebra, difficulty level 3. Compare the difference in temperatures between Sydney, Australia at 14 degrees Celsius and Swarthmore, Pennsylvania, U.S.A. at 63 degrees Fahrenheit.
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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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 Operation Warmup  Annie Fetter
Algebra, difficulty level 2. Find all possible ordered pairs that are solutions to four given equations.
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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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 Parakeets on Parade  Terry Trotter
Algebra, difficulty level 2. A flock of parakeets flies a round trip to the feeding ground and
back. Given the total time and distance of the round trip, and the
speed of the wind in each direction, find the flying speed of the
parakeets.
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 Partners in Pizza  Terry Trotter
Algebra, difficulty level 2. Three friends share the cost of a pizza. How much does each contribute?
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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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 Peeling Potatoes  Terry Trotter
PreAlgebra, difficulty level 2. How many potatoes did Annie and Steve have to peel?
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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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 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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 Pi Day Treats  Judy Ann Brown
PreAlgebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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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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 Product Max  Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum value for two numbers whose sum is a.
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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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 Proofs Without Words II  Annie Fetter
Geometry, difficulty level 2. Based on a simple example that illustrates the distributive property, explain what the second picture illustrates.
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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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 Reverse It!  Annie Fetter Steve Risberg
Algebra, difficulty level 1. Find a twodigit number such that when you reverse the digits and add
the new number to the original one, the sum is 154.
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 A Rhyming Riddle  John Allard, Carlton Shedrick, Donnie Sartwell
Trig/Calc, difficulty level 3. Find the solutions for x and y in an exponential equation.
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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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 Sam and Teri Revisited  Terry Trotter
Algebra, difficulty level 3. A bank account depositwithdrawal problem with a difference.
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 Sam and Teri's Bank Accounts  Terry Trotter
Algebra, difficulty level 1. Sam and Teri have bank accounts. Sam always withdraws money; Teri always saves it. When will they have equal balances, or will they?
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 School Spirit  Steve Risberg
Algebra, difficulty level 4. A company makes jackets that show support for your school. Given
information on the time needed to make each of two models and the
profit earned for selling them, determine how many of each the company
should make each
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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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 Seven Congruent Rectangles  Annie Fetter
Geometry, difficulty level 2. Seven congruent rectangles are arranged to form a larger rectangle. If the area of the large rectangle is 336 units^2, what's the perimeter of the large rectangle?
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 Shanell's Holiday Treats  Terry Trotter
Algebra, difficulty level 3. Given some data about purchasing fancy nuts for cooking, find the total cost of buying one pound of each type.
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 Shapes Rock  Judy Ann Brown
PreAlgebra, difficulty level 3. Find the number of diagonals in a polygon of 40 sides.
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 Sharing Birthday Cake  Ian Underwood
PreAlgebra, difficulty level 2. Ian and his father have the same birthday, and share a cake based on the ratio of their ages. Determine when Ian will get certain amounts of cake.
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 Ships Ahoy!  Terry Trotter
Algebra, difficulty level 1. Onethird of a fleet was captured, onesixth was sunk, and two ships were destroyed by fire. Oneseventh of the surviving ships were later lost in a storm. The 24 remaining ships sailed home. How many ships were there before
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 Skeeball Showdown  Steve Risberg
Algebra, difficulty level 3. Kira and Daquan each play a game of Skeeball to see who gets the
higher score. Given descriptions of their results in relation to each
other, determine the final score of their match and how many balls
each player rolled.
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 A Space Diagonal  Terry Trotter, MATHCOUNTS
Algebra, difficulty level 2. Find the space diagonal of a certain cube in a sequence of cubes.
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 The Spider and the Fly  J. A. H. Hunter
Algebra, difficulty level 2. A spider presents a challenge to a fly: solve a math problem and escape!
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 Splash!  Steve Risberg
Algebra, difficulty level 1. How many throws did it take each student to sink Mr. Rashanul in the
dunking booth at the carnival?
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 Splitting a Square  Terry Trotter
Algebra, difficulty level 3. A square is drawn on a coordinate plane with vertices P(1, 0), Q(2, 0), R(2, 1) and S(1, 1). A line is drawn from the origin that cuts the square into two sections whose areas are in a ratio of 2:1. What's the equation of
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 Spring Garden Planning  Judy Ann Brown
PreAlgebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
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 A Stellar Garden  Bill Marthinsen
PreAlgebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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