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Browse all Pre-Algebra Problems of the Week
The Pre-Algebra 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 6-8.
Access to these problems requires a Membership.
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A Cranberry Craving
- Claire Mead, Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on
Thanksgiving Thursday.
... more>>
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Cyndy's Curtains
- Cynthia Paul, Suzanne Alejandre, Annie Fetter
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Pre-Algebra, difficulty level 2. How many sets of shorter curtains can Cyndy make from the one set of
extra-long curtains
that she already has?
... more>>
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Cynthia's Solitaire Challenge
- Cynthia Lanius, Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Help Cynthia think about how to keep her winning percentage at 90% or
above.
... more>>
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Days on Other Planets
- Cynthia Lanius, Suzanne Alejandre
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Pre-Algebra, difficulty level 2. How old in Earth years would you be after spending time on another planet?
... more>>
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Designing Doorways for Rich and Riz
- Suzanne Alejandre
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Pre-Algebra, 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.
... more>>
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Dishwasher Discounts
- Pat Hagan
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Pre-Algebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal.
... more>>
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Distance Driving
- Judy Ann Brown
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Pre-Algebra, 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.
... more>>
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Dividing Daffodils
- Suzanne Alejandre
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Pre-Algebra, difficulty level 4. Help us plant our garden of daffodils.
... more>>
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Divisible by a Dozen
- Terry Trotter & Annie Fetter
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Pre-Algebra, 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?
... more>>
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Downhill All the Way
- Judy Ann Brown
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Pre-Algebra, 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?
... more>>
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Downloading Duel
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Whose downloading task should take longer?
... more>>
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Do you listen to WMTH or WALG?
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Each week listeners switch radio stations. Predict the long-term distribution of listeners for each station.
... more>>
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Ducky Promenade
- Leon Roland & class (poetry by Annie Fetter)
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Pre-Algebra, 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
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Pre-Algebra, 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?
... more>>
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Election Day in Prealgpoweria
- Steve Risberg, Suzanne Alejandre
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Pre-Algebra, difficulty level 3. How many votes does each candidate in Prealgpoweria receive and how
many eligible voters are there?
... more>>
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Even Number Puzzle
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. How many even four-digit whole numbers exist such that the thousands digit is odd, and all four digits are different?
... more>>
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Exploring Area
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method.
... more>>
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Fall Festival Frolic
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags?
... more>>
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Falling into Sequences
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula.
... more>>
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Falling Leaves
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Find the number of leaves that were falling.
... more>>
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Fences for Fido and Friends
- Annie Fetter
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Pre-Algebra, difficulty level 2. Find the area of each rectangular dog pen.
... more>>
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Flipping Over Pennies
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins?
... more>>
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Forming Triangles from a Folding Ruler
- Annie Fetter, Suzanne Alejandre
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Pre-Algebra, difficulty level 1. Describe the three triangles that can be made with the full length of
a 6 foot long folding wooden ruler.
... more>>
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Frequent Flier Figuring
- Judy Ann Brown
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Math Fundamentals, difficulty level 2. Use Web resources to help plan the shortest route from Allentown, Pennsylvania, to New Orleans, Louisiana.
... more>>
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Garden Grove
- Steve Risberg & Stephen Weimar
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Pre-Algebra, 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.
... more>>
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The Gates
- Suzanne and Richard Alejandre
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Pre-Algebra, difficulty level 3. How much time did Suzanne spend walking on "The Gates" pathway?
... more>>
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Gearing Up
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Think about and explain the relationship between three different-sized gears.
... more>>
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Geo in Jeopardy
- Richard Tchen
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Pre-Algebra, difficulty level 3. Find the dimensions of the three-dimensional phone booth.
... more>>
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Golfing Luck?
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Work with probability on the practice hole of the golf course.
... more>>
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The Good Samaritan
- Piedmont High School 2nd- and 7th-period Geometry Classes
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Pre-Algebra, difficulty level 4. Can the butler afford the paint needed to repair the sign? Did the butler do it?
... more>>
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The Graduating Class
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Use the information about students with different grades to determine the number of students in Mrs. Smith's class.
... more>>
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Graphing for Area
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Graph six points and find the area of the resulting hexagon.
... more>>
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Graphs
- Suzanne Alejandre, Annie Fetter
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Pre-Algebra, 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 y-axes.
... more>>
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Guess My Number If You Can!
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. Use division clues to reveal the secret number.
... more>>
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Happy New Year!
- Judy Ann Brown
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Pre-Algebra, difficulty level 4. A puzzle for the new year: how is the grid designed?
... more>>
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A Happy New Year Wish
- Suzanne Alejandre, Ian Underwood
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Pre-Algebra, difficulty level 2. Explain how time differences are calculated and understood using
longitude.
... more>>
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Happy Thanksgiving
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. A logic puzzle to solve the age-old question, "Who will wash the dishes?"
... more>>
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He Ate It All!
- Mr. Marthinsen's Geometry Class
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Pre-Algebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza.
... more>>
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Heavy Hoisting
- Math Forum Staff
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Pre-Algebra, difficulty level 2. Using the information given in the problem, find the weight of an
average human adult.
... more>>
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A Holiday Gift for Grandmother Brown
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Determine the cost of the dishwasher and the contribution from each of five children.
... more>>
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Homerun Percentages
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Baseball box scores give us a chance to practice percent skills.
... more>>
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How Far in Space?
- Suzanne Alejandre
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Pre-Algebra, difficulty level 1. By the time the Space Shuttle Discovery had undocked from it in
August, 2005, how far
had the International Space Station traveled while orbiting the Earth?
... more>>
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How Fast Is a Minute?
- Suzanne Alejandre
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Pre-Algebra, difficulty level 1. How many feet does the tip of the minute hand travel in an hour on the
clock on Philadelphia's City Hall Tower?
... more>>
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How Old is Ms. Nelson?
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Ms. Nelson claims that she is three times as old as her little sister. However, six years ago she was five times as old as her sister was. How old is Ms. Nelson?
... more>>
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How Wide Is My Garden?
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden.
... more>>
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Ian's Rides
- Annie Fetter, Ian Underwood, Stephen Weimar
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Pre-Algebra, difficulty level 4. Determine which graph best represents the mean average of the number
of miles Ian rode each ride.
... more>>
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I Get A Kick Out Of Soccer!
- Judy Ann Brown
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Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile?
... more>>
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I'm a Groundhog?
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Using Suzanne's height, Phil's height, and Suzanne's shadow length, find Phil's shadow length.
... more>>
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Inching Along Down the Football Field
- Terrel Trotter
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Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100-yard field. He then moved it forward half the field distance, over and over again. When did the distance first become less than one inch?
... more>>
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Integer Game
- Suzanne Alejandre
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Pre-Algebra, difficulty level 1. Help Alisa pick a set of six cards to win the Integer Game.
... more>>
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