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Pre-Algebra
operations with numbers
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percentages
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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.



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The Complex Apartment Complex - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above. ... more>>

Cork Costs - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find reasonable prices for the different sizes of cork. ... more>>

The Cost of Chocolate - Suzanne Alejandre
Pre-Algebra, difficulty level 2. How can I get the most chocolate for my $30.00? ... more>>

Counting Chicken Wings - Annie Fetter, Suzanne Alejandre
Pre-Algebra, difficulty level 3. Figure out how many wings are in the Biggest Bucket O' Wings. ... more>>

Covered Bridges - Steve Risberg, Suzanne Alejandre
Pre-Algebra, 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. ... more>>

A Cranberry Craving - Claire Mead, Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use the pattern to find out how many cranberries Carissa ate on Thanksgiving Thursday. ... more>>

Cyndy's Curtains - Cynthia Paul, Suzanne Alejandre, Annie Fetter
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>>

Cynthia's Solitaire Challenge - Cynthia Lanius, Suzanne Alejandre
Pre-Algebra, difficulty level 2. Help Cynthia think about how to keep her winning percentage at 90% or above. ... more>>

Days on Other Planets - Cynthia Lanius, Suzanne Alejandre
Pre-Algebra, difficulty level 2. How old in Earth years would you be after spending time on another planet? ... more>>

Designing Doorways for Rich and Riz - Suzanne Alejandre
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>>

Dishwasher Discounts - Pat Hagan
Pre-Algebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal. ... more>>

Distance Driving - Judy Ann Brown
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>>

Dividing Daffodils - Suzanne Alejandre
Pre-Algebra, difficulty level 4. Help us plant our garden of daffodils. ... more>>

Divisible by a Dozen - Terry Trotter & Annie Fetter
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>>

Dollar Dealing - Suzanne Alejandre and Lillian Ray
Pre-Algebra, difficulty level 2. How much money did Hector and Larissa each have? ... more>>

Downhill All the Way - Judy Ann Brown
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>>

Downloading Duel - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Whose downloading task should take longer? ... more>>

Do you listen to WMTH or WALG? - Judy Ann Brown
Pre-Algebra, difficulty level 4. Each week listeners switch radio stations. Predict the long-term distribution of listeners for each station. ... more>>

Drama Dollars - Andrea Stitt and Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find the percentage of the earnings that came from the adult tickets sold by the school drama club. ... more>>

Ducky Promenade - Leon Roland & class (poetry by Annie Fetter)
Pre-Algebra, difficulty level 3. Find the weight of a duckling and two ducks after reading this poem. ... more>>

Duke is Missing - Judy Ann Brown
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>>

Eight Squares on a Table - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Find the number written on the first sheet laid on the table and identify which of the eight sheets it was. ... more>>

Election Day in Prealgpoweria - Steve Risberg, Suzanne Alejandre
Pre-Algebra, difficulty level 3. How many votes does each candidate in Prealgpoweria receive and how many eligible voters are there? ... more>>

Even Number Puzzle - Judy Ann Brown
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>>

Exploring Area - Judy Ann Brown
Pre-Algebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method. ... more>>

Fall Festival Frolic - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags? ... more>>

Falling into Sequences - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula. ... more>>

Falling Leaves - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find the number of leaves that were falling. ... more>>

Fences for Fido and Friends - Annie Fetter
Pre-Algebra, difficulty level 2. Find the area of each rectangular dog pen. ... more>>

Flipping Over Pennies - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many equally likely outcomes are there when flipping 10 coins? ... more>>

Forming Triangles from a Folding Ruler - Annie Fetter, Suzanne Alejandre
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>>

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. ... more>>

Garden Grove - Steve Risberg & Stephen Weimar
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>>

Gas Guzzlers - Mai Sidawi and Lillian Ray
Pre-Algebra, difficulty level 2. Students are asked to decide which car model to replace to get the most savings in gas costs. ... more>>

The Gates - Suzanne and Richard Alejandre
Pre-Algebra, difficulty level 3. How much time did Suzanne spend walking on "The Gates" pathway? ... more>>

Gearing Up - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Think about and explain the relationship between three different-sized gears. ... more>>

Geo in Jeopardy - Richard Tchen
Pre-Algebra, difficulty level 3. Find the dimensions of the three-dimensional phone booth. ... more>>

Getting Your Kicks On Route 66 - Cynthia Lanius, Suzanne Alejandre, Richard Tchen
Pre-Algebra, difficulty level 2. If she traveled about 5000 miles, which routes might Lani have driven? ... more>>

Golfing Luck? - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Work with probability on the practice hole of the golf course. ... more>>

The Good Samaritan - Piedmont High School 2nd- and 7th-period Geometry Classes
Pre-Algebra, difficulty level 4. Can the butler afford the paint needed to repair the sign? Did the butler do it? ... more>>

The Graduating Class - Judy Ann Brown
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>>

Graphing for Area - Judy Ann Brown
Pre-Algebra, difficulty level 2. Graph six points and find the area of the resulting hexagon. ... more>>

Graphs - Suzanne Alejandre, Annie Fetter
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>>

Guess My Number If You Can! - Judy Ann Brown
Pre-Algebra, difficulty level 4. Use division clues to reveal the secret number. ... more>>

Happy New Year! - Judy Ann Brown
Pre-Algebra, difficulty level 4. A puzzle for the new year: how is the grid designed? ... more>>

A Happy New Year Wish - Suzanne Alejandre, Ian Underwood
Pre-Algebra, difficulty level 2. Explain how time differences are calculated and understood using longitude. ... more>>

Happy Thanksgiving - Judy Ann Brown
Pre-Algebra, difficulty level 3. A logic puzzle to solve the age-old question, "Who will wash the dishes?" ... more>>

He Ate It All! - Mr. Marthinsen's Geometry Class
Pre-Algebra, difficulty level 3. The professor ate an entire pizza in 28 minutes. Figure out the size of the pizza. ... more>>

Heavy Hoisting - Math Forum Staff
Pre-Algebra, difficulty level 2. Using the information given in the problem, find the weight of an average human adult. ... more>>

Holding Pattern - Suzanne Alejandre
Pre-Algebra, difficulty level 3. How long should the next outbound leg be? ... more>>

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