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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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Photo Wall
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Find the dimensions of the large poster.
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Picture-Perfect Geometry
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Graph four points and name the figure that you have drawn.
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Pi Day - Let's Eat Cake!
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
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Pi Day Treats
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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Pizza Pie
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Use the given information to decide how many slices of the small pizza would be equal to or greater than 3 slices from the large pizza.
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Postal Rates
- Richard Tchen, Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Find the largest percentage increase in stamp price.
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A Pound of Valentine's Chocolates
- Suzanne Alejandre, Claire Mead
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Pre-Algebra, difficulty level 2. How long should a one pound box of chocolates last if Isolde eats it
alone?
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Pouring the Punch
- Neil Bress
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Pre-Algebra, difficulty level 3. The Refreshments Committee needs to pour exactly four liters of eggnog using only three-liter and five-liter measures.
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Power Outage
- Jackson Geometry Class
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Pre-Algebra, difficulty level 3. The power went out. Use the current reading on the clocks to determine when the power went out, and for how long.
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Practicing for the Winter Olympics
- Cynthia Paul
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Pre-Algebra, difficulty level 2. What is the length of the semicircular path Sonya skates across the
ice rink?
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Price Fluidity
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Compare the per-gallon cost of eleven different liquids, and put them in order from least to most expensive.
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Prime Probability
- Lisa Lavelle
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Pre-Algebra, difficulty level 3. Given the expression n^2 - 5, what is the probability that the result is prime for integers between 2 and 12?
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Pumpkin Carving for Charity
- Suzanne Alejandre
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Pre-Algebra, difficulty level 1. How much money did each of the six friends raise by carving pumpkins
to auction off at a
local charity event?
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Quilting Squares
- Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Help with some quick calculations of the amount of fabric needed for this quilt design.
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A Quilt Made of Squares
- Annie Fetter
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Pre-Algebra, difficulty level 3. Using the information given, will the finished quilt be in the shape of a
square?
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Radical Darts
- Steve Risberg
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Pre-Algebra, difficulty level 2. How did Andruw get his total score playing Radical Darts?
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Rampaging Reindeer
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. How many different ways can Santa's reindeer be arranged?
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Ready for Football?
- Terry Trotter & Suzanne Alejandre
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Pre-Algebra, difficulty level 2. Find the final score of the game between the Eagles and the Dragons.
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Reversal of Ages
- Terry Trotter
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Pre-Algebra, difficulty level 2. Using the clues given in the problem, how old are my dad and I today?
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Richard's Rides
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Find the mean average number of miles of each of Richard's outdoor
rides in each season.
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Right Triangle, Which Legs?
- Annie Fetter
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Pre-Algebra, difficulty level 3. Find the possible lengths for the third side of a right triangle given
the lengths of the other two sides.
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Riz's Route
- Richard Tchen & Steve Risberg
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Pre-Algebra, difficulty level 3. Where is Riz standing when he realizes it would be the same distance to
continue walking
on the longer path as it would be to turn around and take the shortcut?
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Rounding Mountains
- Judy Ann Brown
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Math Fundamentals, difficulty level 2. Use estimated figures to determine the maximum and minimum differences between the heights of two mountains.
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Runsums, Part 1
- Ron Knott
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Pre-Algebra, difficulty level 3. By spotting the pattern, tell me the smallest number that is a sum of a run of one hundred consecutive numbers.
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Runsums, Part 2
- Ron Knott
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Pre-Algebra, difficulty level 3. Explore number patterns and report on what you have learned.
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Sailing Around the World
- Leon Roland & class
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Pre-Algebra, difficulty level 2. Determine the amounts of the supplies that Giuseppi Linguini will need to sail around the world.
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Santa's Little Helpers
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves.
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Saturday Bike Ride
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Now that spring has arrived, Ali and Maya decide to dust off their bikes and go for a Saturday ride. Help find what time they will meet.
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Scale Stepping
- Steve Risberg, Richard Tchen
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Pre-Algebra, difficulty level 2. Using the information on central tendency, find how much each of the
five might weigh.
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The Scientific Notation Game
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. Help Jay think about how points are calculated in the Scientific Notation Game.
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Scientific Sums
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation.
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Seating Arrangements
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Four new students arrive in Mrs. Brown's homeroom. After a few minutes she turns to them and says, "There are 1680 ways
that you can sit in the empty seats." How many empty seats are there in the room?
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Seating Dilemma
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Count the number of ways to seat people, if some are math teachers who cannot be next to each other.
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Seesaw
- Suzanne Alejandre
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Pre-Algebra, difficulty level 3. How did the four friends balance on the seesaw?
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Shapes Rock
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Find the number of diagonals in a polygon of 40 sides.
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Sharing Birthday Cake
- Ian Underwood
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Pre-Algebra, 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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Shine On Harvest Moon
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Find the area of the largest circle that can be cut from a nine-inch by twelve-inch sheet of paper.
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The Silver Mile
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Determine the total value of the coins in a silver mile.
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A Simple Reversal
- Judy Ann Brown
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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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Sizing Up Sequoias
- Suzanne Alejandre
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Pre-Algebra, 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
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Pre-Algebra, 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
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Pre-Algebra, 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
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Pre-Algebra, 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
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Pre-Algebra, 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
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Pre-Algebra, 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
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Pre-Algebra, 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
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Pre-Algebra, difficulty level 2. Find how many cords of wood the woodshed will hold.
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A Stellar Garden
- Bill Marthinsen
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Pre-Algebra, 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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Student Council Elections
- Judy Ann Brown
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Pre-Algebra, 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
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Pre-Algebra, 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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