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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.

3D Vision
 Annie Fetter

PreAlgebra, difficulty level 3. When you fold up the given net of a cube, what shape is formed by the segments on the faces of the cube?
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Account Balances
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Will Tarak's and Nicholas's bank balances ever be exactly the same?
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Accounting for Age
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Given a number trick, explain why the result is always the original number followed by your age.
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Accuracy Please
 Judy Ann Brown

PreAlgebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone.
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All the Similar Triangles
 Annie Fetter

PreAlgebra, difficulty level 3. How would you place points D and E to make similar triangles?
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Anh's Code
 Annie Fetter

PreAlgebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression.
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Anjelica's Very Odd Magic Sweater
 Cynthia Lanius, Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the shortcut Angelica's mother might have used to calculate the
number of dimes.
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Apple Picking
 Richard Tchen, Suzanne Alejandre, Annie Fetter

PreAlgebra, difficulty level 1. Calculate the approximate cost of each apple at the pickyourown orchard.
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At Least a Mile
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a certain distance?
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BacktoSchool Shopping
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Mrs. Bender noticed that the total of the items her children purchased was $155. Can you determine the cost of one pair of jeans?
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Back Yard Trees
 Judy Ann Brown

PreAlgebra, difficulty level 4. How many different quadrilaterals can be formed by joining any four of the nine trees?
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Baking Blackberries
 Annie Fetter

PreAlgebra, difficulty level 1. Which rectangular baking dish should I use?
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Balancing Mobiles
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Explore two Laws of Archimedes as you puzzle through a balanced mobile.
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Bank Balances
 Stephen Weimar

PreAlgebra, difficulty level 3. Will Tamil and Nydiyah bank balances ever be exactly the same?
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Bartering for Bananas
 Suzanne Alejandre

PreAlgebra, difficulty level 4. How many bananas can Byron get with five fish?
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Baseball Attendance Figures
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the difference between the greatest possible number of people at the stadium and the least possible number of paid admissions to the game.
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Baseball Trivia
 Judy Ann Brown

Math Fundamentals, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a mile?
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Basic Breakfast Buffet
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How many days could Linnea, Joel, Karl, and Jakob stay at the hotel
before one of them would
have to repeat one of the breakfasts?
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Batter Up!
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Use statistics to help Lee convince his manager to give him a raise.
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Bella's Bagel Bakery
 Suzanne Alejandre

PreAlgebra, difficulty level 1. How much more area is covered with cream cheese on the large bagel
than on the small bagel?
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The Big Picture!
 Judy Ann Brown

PreAlgebra, difficulty level 3. A picture is enlarged to four times its area.
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Birthday Line Up
 Claire Mead, Stephen Weimar

PreAlgebra, difficulty level 2. How old will Seth be when his mother is five times Seth's age?
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Boxes of Stationery
 Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 3. How many sheets of paper and how many envelopes are in the box of stationery?
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Box of Boxes
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Given information about the surface area, find the dimensions of the
large box. Also, find
how many small boxes fit inside the large box.
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Building a Snow Statue
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the height of a snow statue using the given information.
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Building Fences
 Judy Ann Brown

PreAlgebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36yard fence.
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Building on Water
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area of a circular pond not covered by a rectangular building.
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Buying Cola
 Leon Roland & class

PreAlgebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy?
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Cadence
 Lillian Ray

PreAlgebra, difficulty level 3. Determine which friend has the faster cadence.
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Calculator KeyIn
 Terry Trotter

PreAlgebra, difficulty level 1. Why do the two calculators give different answers to the problem?
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California Dreaming
 Judy Ann Brown

Math Fundamentals, difficulty level 3. Determine the length of time that will be needed to drive from Allentown, Pennsylvania, to Los Angeles, California.
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Caliyah's Cart
 Lillian Ray

PreAlgebra, difficulty level 4. How many items did Caliyah decide to buy at the store?
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Canadian Soccer
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps.
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Can You Find My Numbers?
 Roya Salehi

PreAlgebra, difficulty level 3. I have eight numbers in my list. Use the clues to find my numbers.
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Cara's Cookies
 Cynthia Lanius

PreAlgebra, difficulty level 2. How many cookies did Cara make for the Math Club Bake Sale?
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Card Covers
 Claire Mead, Annie Fetter

PreAlgebra, difficulty level 1. Help Ellen, Lora, and Mai determine which purchase will cost them the
least amount of
money.
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Car Rental Quandary
 Judy Ann Brown

PreAlgebra, difficulty level 3. Compare the car rental deals using the given information.
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Chamique the Archer
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. Chamique wants to know the probability of hitting a bull'seye with a randomly shot arrow.
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Change Woes
 suggested by a Western Oregon University mentor

PreAlgebra, difficulty level 3. What coins did Lacey have before her money was mixed up with her
brother's?
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Chirp! Chirp!
 Annie Fetter

PreAlgebra, difficulty level 3. Find the temperature when a cricket chirps a certain number of times a minute.
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Chocolate, Orange, Megamint Swirl
 Fitzgerald's Spring 2000 Class C

PreAlgebra, difficulty level 4. How many halfgallon cartons of ice cream can fit in the freezer?
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Choosing Cs
 Lisa Lavelle, Suzanne Alejandre

PreAlgebra, difficulty level 3. Given the expression c^2  2, what is the probability that the result
is composite for integers 10 through 2?
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Citius, Altius, Fortius
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Would recordholding speed skaters and runners break the speed limit in a residential zone?
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Club Competition
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Determine how many teams the Fibonacci Middle School Math Club can enter in their first competition.
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Coast to Coast Driving Costs
 Suzanne and Richard Alejandre

PreAlgebra, difficulty level 2. If the price of gas has increased 61% in the five years since we took
our first coast to coast
trip in October 2000, what would it cost per mile to make the same
trip in October of 2005?
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Coding Conundrums
 Mary DeYoung & class

PreAlgebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle.
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Coin Count
 Roya Salehi and Judy Ann Brown

PreAlgebra, difficulty level 3. Use the given information to determine the number of nickels and dimes in Lisa's bank.
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Coloring a Hexagon
 Ranjan Rohatgi, Spencer Koerner, Suzanne Alejandre

PreAlgebra, difficulty level 2. How many different ways of coloring the hexagon are represented in
Spencer's drawing?
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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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Commuting Conundrum
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Help Suzanne and Richard decide which train tickets will give them the most value for their dollar.
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