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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.

The Nutty Squirrel
 Alice Miller

PreAlgebra, difficulty level 3. How high could a human jump if she could jump with the power of a squirrel?
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Oceans of Fun
 Judy Ann Brown

PreAlgebra, difficulty level 3. Help the Math Club approximate the portion of the Earth's surface that is covered by the oceans.
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Office Tile Choice
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the total cost of purchasing tiles for my office.
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Olympic Temperature
 Judy Ann Brown

PreAlgebra, difficulty level 3. Compare the difference in temperatures between Sydney, Australia at 14 degrees Celsius and Swarthmore, Pennsylvania, U.S.A. at 63 degrees Fahrenheit.
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Open and Shut Case
 Judy Ann Brown

PreAlgebra, difficulty level 2. Find the locker combination using mathematical clues.
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Operating Diagonally
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Think about the effect of multiplication and addition on the numbers in the hundreds chart.
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The Oracle's Crowns
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Figure out which crown Caleb had on and how he knew for sure.
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The Oracle's Oration
 Annie Fetter

PreAlgebra, difficulty level 3. Explain how payment should be distributed based on the number of rolls two people shared with the group of three.
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Organization of Data
 Judy Ann Brown

PreAlgebra, difficulty level 2. Use the information on the graph to find the range, mean, median, and mode of the data.
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Ostrich Llama Count
 Suzanne Alejandre

PreAlgebra, difficulty level 2. Given the combined number of heads and legs of ostriches and llamas, help Raul and Esteban figure out how many ostriches and how many llamas there are.
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Palindrome Day
 Judy Ann Brown

PreAlgebra, difficulty level 2. How many Palindrome Days are there in a year?
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Partial Area
 Judy Ann Brown

PreAlgebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
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Paving Stones
 Suzanne Alejandre

PreAlgebra, difficulty level 1. How many stones did Kathy need to buy to pave an area in her yard?
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Peanut's Back Yard
 Jonathan Bauer

PreAlgebra, difficulty level 3. Peanut, the overexcited dog, makes 40 laps around a stake and travels a total distance of 1 mile. If his bowl of water is 20 feet away from the stake, can he get a drink?
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Peeling Potatoes
 Terry Trotter

PreAlgebra, difficulty level 2. How many potatoes did Annie and Steve have to peel?
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Pegging Possibilities
 Michael Urbut

PreAlgebra, difficulty level 2. Explore the number of possible arrangements of pegs in this logic game.
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Perfect Timing
 Steve Risberg & Stephen Weimar

PreAlgebra, difficulty level 3. Find out what time Eva and Aurora reached the resort.
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Photo Wall
 Suzanne Alejandre

PreAlgebra, difficulty level 3. Find the dimensions of the large poster.
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PicturePerfect Geometry
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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Pizza Pie
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 3. The Refreshments Committee needs to pour exactly four liters of eggnog using only threeliter and fiveliter measures.
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Power Outage
 Jackson Geometry Class

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 2. Compare the pergallon cost of eleven different liquids, and put them in order from least to most expensive.
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Prime Probability
 Lisa Lavelle

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 2. How did Andruw get his total score playing Radical Darts?
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Rampaging Reindeer
 Judy Ann Brown

PreAlgebra, difficulty level 3. How many different ways can Santa's reindeer be arranged?
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Ready for Football?
 Terry Trotter & Suzanne Alejandre

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

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

PreAlgebra, 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

PreAlgebra, difficulty level 3. Explore number patterns and report on what you have learned.
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Sailing Around the World
 Leon Roland & class

PreAlgebra, 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

PreAlgebra, difficulty level 3. Help Santa to solve the puzzle created by the clever elves.
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Saturday Bike Ride
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, 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

PreAlgebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation.
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Seating Arrangements
 Judy Ann Brown

PreAlgebra, 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

PreAlgebra, 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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