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Pre-Algebra
operations with numbers
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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.

3-D Vision - Annie Fetter
Pre-Algebra, 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? ... more>>

Account Balances - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Will Tarak's and Nicholas's bank balances ever be exactly the same? ... more>>

Accounting for Age - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Given a number trick, explain why the result is always the original number followed by your age. ... more>>

Accuracy Please - Judy Ann Brown
Pre-Algebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone. ... more>>

All the Similar Triangles - Annie Fetter
Pre-Algebra, difficulty level 3. How would you place points D and E to make similar triangles? ... more>>

Anh's Code - Annie Fetter
Pre-Algebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression. ... more>>

Anjelica's Very Odd Magic Sweater - Cynthia Lanius, Suzanne Alejandre
Pre-Algebra, difficulty level 3. Find the shortcut Angelica's mother might have used to calculate the number of dimes. ... more>>

Apple Picking - Richard Tchen, Suzanne Alejandre, Annie Fetter
Pre-Algebra, difficulty level 1. Calculate the approximate cost of each apple at the pick-your-own orchard. ... more>>

At Least a Mile - Suzanne Alejandre
Pre-Algebra, difficulty level 2. How many runs do the Phillies have to score before the base runners have covered a certain distance? ... more>>

Back-to-School 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? ... more>>

Back Yard Trees - Judy Ann Brown
Pre-Algebra, difficulty level 4. How many different quadrilaterals can be formed by joining any four of the nine trees? ... more>>

Baking Blackberries - Annie Fetter
Pre-Algebra, difficulty level 1. Which rectangular baking dish should I use? ... more>>

Balancing Mobiles - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Explore two Laws of Archimedes as you puzzle through a balanced mobile. ... more>>

Bank Balances - Stephen Weimar
Pre-Algebra, difficulty level 3. Will Tamil and Nydiyah bank balances ever be exactly the same? ... more>>

Bartering for Bananas - Suzanne Alejandre
Pre-Algebra, difficulty level 4. How many bananas can Byron get with five fish? ... more>>

Baseball Attendance Figures - Judy Ann Brown
Pre-Algebra, 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. ... more>>

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? ... more>>

Basic Breakfast Buffet - Suzanne Alejandre
Pre-Algebra, 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? ... more>>

Batter Up! - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Use statistics to help Lee convince his manager to give him a raise. ... more>>

Bella's Bagel Bakery - Suzanne Alejandre
Pre-Algebra, difficulty level 1. How much more area is covered with cream cheese on the large bagel than on the small bagel? ... more>>

The Big Picture! - Judy Ann Brown
Pre-Algebra, difficulty level 3. A picture is enlarged to four times its area. ... more>>

Birthday Line Up - Claire Mead, Stephen Weimar
Pre-Algebra, difficulty level 2. How old will Seth be when his mother is five times Seth's age? ... more>>

Boxes of Stationery - Annie Fetter, Suzanne Alejandre
Pre-Algebra, difficulty level 3. How many sheets of paper and how many envelopes are in the box of stationery? ... more>>

Box of Boxes - Suzanne Alejandre
Pre-Algebra, 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. ... more>>

Building a Snow Statue - Judy Ann Brown
Pre-Algebra, difficulty level 3. Determine the height of a snow statue using the given information. ... more>>

Building Fences - Judy Ann Brown
Pre-Algebra, difficulty level 3. Plan a garden so as to maximize the area surrounded by a 36-yard fence. ... more>>

Building on Water - Judy Ann Brown
Pre-Algebra, difficulty level 4. Find the area of a circular pond not covered by a rectangular building. ... more>>

Buying Cola - Leon Roland & class
Pre-Algebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy? ... more>>

Cadence - Lillian Ray
Pre-Algebra, difficulty level 3. Determine which friend has the faster cadence. ... more>>

Calculator Key-In - Terry Trotter
Pre-Algebra, difficulty level 1. Why do the two calculators give different answers to the problem? ... more>>

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. ... more>>

Caliyah's Cart - Lillian Ray
Pre-Algebra, difficulty level 4. How many items did Caliyah decide to buy at the store? ... more>>

Canadian Soccer - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the distance a player runs to complete three "Double V" laps. ... more>>

Can You Find My Numbers? - Roya Salehi
Pre-Algebra, difficulty level 3. I have eight numbers in my list. Use the clues to find my numbers. ... more>>

Cara's Cookies - Cynthia Lanius
Pre-Algebra, difficulty level 2. How many cookies did Cara make for the Math Club Bake Sale? ... more>>

Card Covers - Claire Mead, Annie Fetter
Pre-Algebra, difficulty level 1. Help Ellen, Lora, and Mai determine which purchase will cost them the least amount of money. ... more>>

Car Rental Quandary - Judy Ann Brown
Pre-Algebra, difficulty level 3. Compare the car rental deals using the given information. ... more>>

Chamique the Archer - Mr. Marthinsen's Geometry Class
Pre-Algebra, difficulty level 3. Chamique wants to know the probability of hitting a bull's-eye with a randomly shot arrow. ... more>>

Change Woes - suggested by a Western Oregon University mentor
Pre-Algebra, difficulty level 3. What coins did Lacey have before her money was mixed up with her brother's? ... more>>

Chirp! Chirp! - Annie Fetter
Pre-Algebra, difficulty level 3. Find the temperature when a cricket chirps a certain number of times a minute. ... more>>

Chocolate, Orange, Mega-mint Swirl - Fitzgerald's Spring 2000 Class C
Pre-Algebra, difficulty level 4. How many half-gallon cartons of ice cream can fit in the freezer? ... more>>

Choosing Cs - Lisa Lavelle, Suzanne Alejandre
Pre-Algebra, difficulty level 3. Given the expression c^2 - 2, what is the probability that the result is composite for integers -10 through -2? ... more>>

Citius, Altius, Fortius - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Would record-holding speed skaters and runners break the speed limit in a residential zone? ... more>>

Club Competition - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Determine how many teams the Fibonacci Middle School Math Club can enter in their first competition. ... more>>

Coast to Coast Driving Costs - Suzanne and Richard Alejandre
Pre-Algebra, 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? ... more>>

Coding Conundrums - Mary DeYoung & class
Pre-Algebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle. ... more>>

Coin Count - Roya Salehi and Judy Ann Brown
Pre-Algebra, difficulty level 3. Use the given information to determine the number of nickels and dimes in Lisa's bank. ... more>>

Coloring a Hexagon - Ranjan Rohatgi, Spencer Koerner, Suzanne Alejandre
Pre-Algebra, difficulty level 2. How many different ways of coloring the hexagon are represented in Spencer's drawing? ... more>>

Colors of the Olympic Rings - Suzanne Alejandre
Pre-Algebra, 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? ... more>>

Commuting Conundrum - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Help Suzanne and Richard decide which train tickets will give them the most value for their dollar. ... more>>

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