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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.

Seesaw
 Suzanne Alejandre

PreAlgebra, difficulty level 3. How did the four friends balance on the seesaw?
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Shapes Rock
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the number of diagonals in a polygon of 40 sides.
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Sharing Birthday Cake
 Ian Underwood

PreAlgebra, difficulty level 2. Ian and his father have the same birthday, and share a cake based on the ratio of their ages. Determine when Ian will get certain amounts of cake.
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Shelvin's Scores
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How many of each kind of question did Shelvin get right?
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Shine On Harvest Moon
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the area of the largest circle that can be cut from a nineinch by twelveinch sheet of paper.
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Shortcut Savings
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Find a rule to tell how much distance I will save when I take the shortcut.
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The Silver Mile
 Judy Ann Brown

PreAlgebra, difficulty level 3. Determine the total value of the coins in a silver mile.
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A Simple Reversal
 Judy Ann Brown

Math Fundamentals, difficulty level 1. The product of 3 and 24 is 72. The sum of 3 and 24 is 27, which is the reverse of 72. Can you find other pairs of numbers such that their product is the reverse of their sum?
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Sing a Song of Sunscreen
 Mai Sidawi and Lillian Ray

PreAlgebra, difficulty level 2. A poem will provide the clues / For you to help me to choose / The lowest SPF to buy / So I don't have to fry / And get the myneckissunburnt blues.
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Sizing Up Sequoias
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Compared to a given seed weight, find out how much an average mature sequoia weighs.
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Sketchley Names That Negative
 Suzanne Alejandre, Steve Risberg

PreAlgebra, difficulty level 2. Use five given negative numbers to form an expression that equals the
target number.
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Sketchley Names That Number
 Steve Risberg

PreAlgebra, difficulty level 1. Use five given integers to form an expression that equals the target
number.
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Snow Day Phone Chain
 Judy Ann Brown

PreAlgebra, difficulty level 4. Use the given information to find out how many phone calls were made.
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A Snowy Driveway
 Claire Mead

PreAlgebra, difficulty level 3. Usually Bertha and Gertrude shovel snow together. How long would it
take Bertha to shovel the same amount alone?
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Spring Garden Planning
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the area as well as the length and width of my fractional garden.
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Square Dancing
 Judy Ann Brown

PreAlgebra, difficulty level 2. The sum of each couple's numbers is a perfect square. Use other information in the problem to find the number of Ashley's partner.
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Stacking Wood
 Annie Fetter

PreAlgebra, difficulty level 2. Find how many cords of wood the woodshed will hold.
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A Stellar Garden
 Bill Marthinsen

PreAlgebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden.
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Stina's Hike
 Annie Fetter

PreAlgebra, difficulty level 2. Choose the graph that best represents Stina's hike.
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Student Council Elections
 Judy Ann Brown

PreAlgebra, difficulty level 4. Find the number of ways names can be arranged on the student council ballot, and figure the odds that a brother and sister will both be listed first in their respective races.
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Study Hall Games
 Judy Ann Brown

PreAlgebra, difficulty level 4. I polled the students to find out which of the three games in my closet they might like to play. Then I created a math problem using the results of the poll.
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Suli's Sense
 Encyclop�dia Britannica Math in Context

PreAlgebra, difficulty level 3. Explain if Suli's result was a coincidence.
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Super Bowl XXXIII
 Judy Ann Brown

PreAlgebra, difficulty level 2. Based on the winners and points scored during the past 15 Super Bowl games, which team should win Super Bowl XXXIII?
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A Surfer's Tessellation
 Mr. Marthinsen's First Period Class

PreAlgebra, difficulty level 2. Shane is retiling his surf shack. How many of each kind of tile will he need, and what does a big tile cost?
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Symmetry Surprise
 Annie Fetter, Suzanne Alejandre

PreAlgebra, difficulty level 3. Identify the types of symmetries of each of three patterns.
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Tasty Tomato Salsa
 Suzanne Alejandre

PreAlgebra, difficulty level 2. If I use all of the olives, how many grams of tomatoes should I use to
keep the same proportions in my salsa recipe?
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Temperature Change
 Judy Ann Brown

PreAlgebra, difficulty level 2. Use the given information to find the temperature.
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Thanksgiving Travel
 Suzanne Alejandre & Maria Fung and her students

PreAlgebra, difficulty level 3. Help Zach decide whether to take the PA Turnpike or the scenic route to see his parents for Thanksgiving.
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The World's Largest Popcorn Ball*
 Annie Fetter

PreAlgebra, difficulty level 1. How many boxes of microwave popcorn would it take to make a giant
popcorn ball?
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Threedimensional Television
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook.
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Tiling Tables
 Suzanne Alejandre

PreAlgebra, 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.
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Tiling Triangles
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
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Timber!
 Steve Risberg

PreAlgebra, difficulty level 3. A tree breaks threeeighths 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?
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Time Is Power
 Terry Trotter

PreAlgebra, 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?
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Top Notch Nose Contest*
 Judy Ann Brown, Suzanne Alejandre

PreAlgebra, difficulty level 2. Use the given information to determine how many photos of pets were
entered in the contest.
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Totolospi
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Calculate the probability of advancing on a toss when playing the game
Totolospi.
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The Tower of Hanoi Puzzle
 Roya Salehi

PreAlgebra, 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?
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Train Timetable
 Suzanne Alejandre

PreAlgebra, difficulty level 1. What is the minimum amount of time I can spend on the train commuting
to and from work in one week?
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Train Travel
 Annie Fetter & Ian Underwood

PreAlgebra, difficulty level 2. At what time does the end of the train emerge from the tunnel?
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Treasure Hunt Math
 Judy Ann Brown

PreAlgebra, difficulty level 3. Use clues to find the mystery palindrome.
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TrickorTreat Route
 Judy Ann Brown

PreAlgebra, difficulty level 4. Which of the many possible routes should the Anderson children take on their Halloween trek?
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Tunnel Time
 Annie Fetter, Ian Underwood, Suzanne Alejandre

PreAlgebra, difficulty level 2. At what time does the end of the train emerge from the tunnel?
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Twisting Carpet Tiles
 Suzanne Alejandre

PreAlgebra, difficulty level 2. For each of the two floors find the total number of degrees that the
sixteen tiles have been rotated.
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Two Heads Are Better Than One
 Lillian Ray

PreAlgebra, difficulty level 3. Given the combined number of heads and legs of ostriches and
pushmipullyus, will
Raquel and Esperanza be able to know for sure how many ostriches and
pushmipullyus
are on the farm?
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Two Toss
 Suzanne Alejandre

PreAlgebra, difficulty level 3. What's the probability that Max scored a point in the Two Toss Game?
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Unknown Numbers
 Suzanne Alejandre and Lillian Ray

PreAlgebra, difficulty level 2. Use the four equations to figure out which numbers the quadrilateral
and the circle
represent.
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Valentine's Day Candy
 Suzanne Alejandre

PreAlgebra, difficulty level 2. How many individually boxed candies did Eddie buy?
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Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
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Val's Value
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Who has paid more for their jackets, Amir or Val?
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Volume Experiment
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
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