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PreAlgebra
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Browse all PreAlgebra Problems of the Week
The PreAlgebra Problems are designed for those students who are consolidating and practicing their knowledge of basic mathematics skills and who are beginning to prepare for algebra. The problems cover approximately the same materials as the NCTM Standards for Grades 68.
Access to these problems requires a Membership.

The Complex Apartment Complex
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above.
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Cork Costs
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find reasonable prices for the different sizes of cork.
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The Cost of Chocolate
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How can I get the most chocolate for my $30.00?
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Counting Chicken Wings
 Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 3. Figure out how many wings are in the Biggest Bucket O' Wings.
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Covered Bridges
 Steve Risberg, Suzanne Alejandre

PreAlgebra, difficulty level 2. If the sum of three nephews' ages is equal to the driving time of
their trip, find the age of the
youngest nephew.
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A Cranberry Craving
 Claire Mead, Suzanne Alejandre

PreAlgebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on
Thanksgiving Thursday.
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Cyndy's Curtains
 Cynthia Paul, Suzanne Alejandre, Annie Fetter

PreAlgebra, difficulty level 2. How many sets of shorter curtains can Cyndy make from the one set of
extralong curtains
that she already has?
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Cynthia's Solitaire Challenge
 Cynthia Lanius, Suzanne Alejandre

PreAlgebra, difficulty level 2. Help Cynthia think about how to keep her winning percentage at 90% or
above.
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Days on Other Planets
 Cynthia Lanius, Suzanne Alejandre

PreAlgebra, difficulty level 2. How old in Earth years would you be after spending time on another planet?
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Designing Doorways for Rich and Riz
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the height for a doorway for Riz that gives him a proportional
amount of room as Rich has in the pictured doorway.
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Dishwasher Discounts
 Pat Hagan

PreAlgebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal.
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Distance Driving
 Judy Ann Brown

PreAlgebra, difficulty level 3. Write an expression that will help you determine how long it will take the car to travel any given number of kilometers.
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Dividing Daffodils
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help us plant our garden of daffodils.
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Divisible by a Dozen
 Terry Trotter & Annie Fetter

PreAlgebra, difficulty level 3. If you take any three consecutive integers, multiply the first times the square of the second, then multiply by the third, is 12 a factor of the product?
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Dollar Dealing
 Suzanne Alejandre and Lillian Ray

PreAlgebra, difficulty level 2. How much money did Hector and Larissa each have?
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Downhill All the Way
 Judy Ann Brown

PreAlgebra, difficulty level 2. Starting at 10,000 feet above sea level, descending a 6% grade followed by a 4% grade will put a car how many feet above sea level?
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Downloading Duel
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Whose downloading task should take longer?
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Do you listen to WMTH or WALG?
 Judy Ann Brown

PreAlgebra, difficulty level 4. Each week listeners switch radio stations. Predict the longterm distribution of listeners for each station.
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Drama Dollars
 Andrea Stitt and Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the percentage of the earnings that came from the adult tickets sold by the school drama club.
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Ducky Promenade
 Leon Roland & class (poetry by Annie Fetter)

PreAlgebra, difficulty level 3. Find the weight of a duckling and two ducks after reading this poem.
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Duke is Missing
 Judy Ann Brown

PreAlgebra, difficulty level 3. Duke's head is 6 inches long, his tail is as long as his head plus half the length of his body, and his body is as long as the head and tail combined. How long is Duke?
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Eight Squares on a Table
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the number written on the first sheet laid on the table and identify which of the eight sheets it was.
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Election Day in Prealgpoweria
 Steve Risberg, Suzanne Alejandre

PreAlgebra, difficulty level 3. How many votes does each candidate in Prealgpoweria receive and how
many eligible voters are there?
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Even Number Puzzle
 Judy Ann Brown

PreAlgebra, difficulty level 3. How many even fourdigit whole numbers exist such that the thousands digit is odd, and all four digits are different?
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Exploring Area
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method.
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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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Falling into Sequences
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula.
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Falling Leaves
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find the number of leaves that were falling.
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Fences for Fido and Friends
 Annie Fetter

PreAlgebra, difficulty level 2. Find the area of each rectangular dog pen.
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Flipping Over Pennies
 Judy Ann Brown

PreAlgebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins?
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Forming Triangles from a Folding Ruler
 Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 1. Describe the three triangles that can be made with the full length of
a 6 foot long folding wooden ruler.
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Frequent Flier Figuring
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Use Web resources to help plan the shortest route from Allentown, Pennsylvania, to New Orleans, Louisiana.
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Garden Grove
 Steve Risberg & Stephen Weimar

PreAlgebra, difficulty level 3. Determine the amount of dirt and the amount of peat moss needed to have the correct ratio of dirt to peat moss for the garden.
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Gas Guzzlers
 Mai Sidawi and Lillian Ray

PreAlgebra, difficulty level 2. Students are asked to decide which car model to replace to get the
most savings in gas costs.
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The Gates
 Suzanne and Richard Alejandre

PreAlgebra, difficulty level 3. How much time did Suzanne spend walking on "The Gates" pathway?
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Gearing Up
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Think about and explain the relationship between three differentsized gears.
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Geo in Jeopardy
 Richard Tchen

PreAlgebra, difficulty level 3. Find the dimensions of the threedimensional phone booth.
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Getting Your Kicks On Route 66
 Cynthia Lanius, Suzanne Alejandre, Richard Tchen

PreAlgebra, difficulty level 2. If she traveled about 5000 miles, which routes might Lani have driven?
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Golfing Luck?
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Work with probability on the practice hole of the golf course.
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The Good Samaritan
 Piedmont High School 2nd and 7thperiod Geometry Classes

PreAlgebra, difficulty level 4. Can the butler afford the paint needed to repair the sign? Did the butler do it?
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The Graduating Class
 Judy Ann Brown

PreAlgebra, difficulty level 3. Use the information about students with different grades to determine the number of students in Mrs. Smith's class.
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Graphing for Area
 Judy Ann Brown

PreAlgebra, difficulty level 2. Graph six points and find the area of the resulting hexagon.
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Graphs
 Suzanne Alejandre, Annie Fetter

PreAlgebra, difficulty level 3. Match the descriptions to the graphs. Explain how to find one of the points on each graph and give the labels for the x and yaxes.
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Guess My Number If You Can!
 Judy Ann Brown

PreAlgebra, difficulty level 4. Use division clues to reveal the secret number.
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Happy New Year!
 Judy Ann Brown

PreAlgebra, difficulty level 4. A puzzle for the new year: how is the grid designed?
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A Happy New Year Wish
 Suzanne Alejandre, Ian Underwood

PreAlgebra, difficulty level 2. Explain how time differences are calculated and understood using
longitude.
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Happy Thanksgiving
 Judy Ann Brown

PreAlgebra, difficulty level 3. A logic puzzle to solve the ageold question, "Who will wash the dishes?"
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He Ate It All!
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza.
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Heavy Hoisting
 Math Forum Staff

PreAlgebra, difficulty level 2. Using the information given in the problem, find the weight of an
average human adult.
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Holding Pattern
 Suzanne Alejandre

PreAlgebra, difficulty level 3. How long should the next outbound leg be?
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