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Pre-Algebra
operations with numbers
number sense
number theory
fractions, decimals,
percentages
integers
algebra
ratio & proportion
geometry in the plane
geometry in space
measurement
statistics
probability
logic & set theory
discrete math

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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.

Super Bowl XXXIII - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Based on the winners and points scored during the past 15 Super Bowl games, which team should win Super Bowl XXXIII? ... more>>

A Surfer's Tessellation - Mr. Marthinsen's First Period Class
active problem Pre-Algebra, difficulty level 2. Shane is re-tiling his surf shack. How many of each kind of tile will he need, and what does a big tile cost? ... more>>

Symmetry Surprise - Annie Fetter, Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Identify the types of symmetries of each of three patterns. ... more>>

Temperature Change - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Use the given information to find the temperature. ... more>>

Thanksgiving Travel - Suzanne Alejandre & Maria Fung and her students
teacher support active problem Pre-Algebra, difficulty level 3. Help Zach decide whether to take the PA Turnpike or the scenic route to see his parents for Thanksgiving. ... more>>

The World's Largest Popcorn Ball* - Annie Fetter
active problem Pre-Algebra, difficulty level 1. How many boxes of microwave popcorn would it take to make a giant popcorn ball? ... more>>

Three-dimensional Television - Mr. Marthinsen's Geometry Class
active problem Pre-Algebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook. ... more>>

Tiling Tables - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Find a method to quickly calculate the dimensions of a rectangular table top with a given area so that it has the smallest possible perimeter. ... more>>

Tiling Triangles - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it. ... more>>

Timber! - Steve Risberg
teacher support active problem Pre-Algebra, difficulty level 3. A tree breaks three-eighths of the way up the trunk, and the tip hits the ground 40 feet from the base of the trunk. How tall was the tree? ... more>>

Time Is Power - Terry Trotter
teacher support active problem Pre-Algebra, difficulty level 2. During which hour of the day am I most likely to see a square number on my computer time display? How many times total during the day does this happen? ... more>>

Top Notch Nose Contest* - Judy Ann Brown, Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Use the given information to determine how many photos of pets were entered in the contest. ... more>>

Totolospi - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Calculate the probability of advancing on a toss when playing the game Totolospi. ... more>>

The Tower of Hanoi Puzzle - Roya Salehi
active problem Pre-Algebra, difficulty level 4. Tower of Hanoi: What is the minimum number of moves it will take to transfer 25 disks from one post to another? ... more>>

Train Timetable - Suzanne Alejandre
active problem Pre-Algebra, difficulty level 1. What is the minimum amount of time I can spend on the train commuting to and from work in one week? ... more>>

Train Travel - Annie Fetter & Ian Underwood
teacher support active problem Pre-Algebra, difficulty level 2. At what time does the end of the train emerge from the tunnel? ... more>>

Treasure Hunt Math - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Use clues to find the mystery palindrome. ... more>>

Trick-or-Treat Route - Judy Ann Brown
active problem Pre-Algebra, difficulty level 4. Which of the many possible routes should the Anderson children take on their Halloween trek? ... more>>

Twisting Carpet Tiles - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. For each of the two floors find the total number of degrees that the sixteen tiles have been rotated. ... more>>

Valentine's Day Candy - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. How many individually boxed candies did Eddie buy? ... more>>

Valley Springs Snow Cream - Kelly Crisp
active problem Pre-Algebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream. ... more>>

Volume Experiment - Judy Ann Brown
active problem Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings. ... more>>

What Day Is It Today? - Roya Salehi
active problem Math Fundamentals, difficulty level 2. Sophie tells the truth only on Monday, Tuesday, Wednesday, and Thursday. Her sister tells the truth only on Monday, Friday, Saturday, and Sunday. If they both confess to their mom that "Yesterday I lied," what day is it today? ... more>>

Which Coupon Is Better? - Cynthia Paul
teacher support active problem Pre-Algebra, difficulty level 1. Help Cynthia decide which coupon will save her more money when she goes to the store to buy sheets. ... more>>

Wilda's Swamp Water - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Measure 8 quibits of swamp water using only 6-quibit and 10-quibit containers. ... more>>

Women's Walkway - Suzanne Alejandre
active problem Pre-Algebra, difficulty level 2. How many bricks would it take to cover the full area of the pattern sample? What's the area? ... more>>

Wondering about Water - Annie Fetter
teacher support active problem Pre-Algebra, difficulty level 3. Find the surface area of an Olympic-size ice hockey rink. ... more>>

Wraparound Universe - Jeff Weeks
active problem Pre-Algebra, difficulty level 4. Explore the game of tic-tac-toe using a cylindrical tic-tac-toe board. ... more>>

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