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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.

Integer Images - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Use the four equations to figure out which integers the quadrilateral and the circle represent. ... more>>

An Interesting Integer - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. I'm thinking of a particular integer. It is a multiple of three, five, and seven. No digit occurs more than once. Can you find my number? ... more>>

It's A Secret - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. In this puzzle, your job is to decode the secret message. ... more>>

January Sales - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Mathematicians, put away your calculators and help Lynne estimate the cost of a set of golf clubs. ... more>>

Join Us for a Quarter-pound Burger - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Work with fractions and percents to help plan this cookout. ... more>>

Kate's Combination - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Find Kate's locker combination using mathematical clues. Is there more than one possibility? ... more>>

Kwae - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Determine the number of kwae that can be made. ... more>>

Label Shuffle - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. There are three containers. Which one has the red marbles? ... more>>

Lee's Lawn Chair - Lee & Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Using the measurements given in the problem, determine the scale factor used to create the larger chair. ... more>>

Lemonade Fun - Maria Fung and her students
teacher support active problem Pre-Algebra, difficulty level 2. How many cups of each size lemonade did Jose and Nick sell? ... more>>

Lightning Strikes - Judy Ann Brown
active problem midpow, difficulty level 1. It takes five seconds for the sound of thunder to travel one mile. How far away is the lightning if thirty-two seconds pass between the flash of the lightning bolt and the sound of the thunder? ... more>>

Lincoln's Top Hat - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Find the dimensions of a rectangular sheet of paper used to make a paper top hat that has width and height the same. ... more>>

Locker Combinations - Judy Ann Brown
active problem Pre-Algebra, difficulty level 4. In this counting problem you will need to determine the total number of possible locker combinations. ... more>>

Lost in Des Moines - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Calculate the speed of a car using given information. ... more>>

Lucky Lollipops - Suzanne Alejandre & Maria Fung and her students
teacher support active problem Pre-Algebra, difficulty level 3. Find the number of lollipops Logan the Leprechaun gives away using his "lucky" method. ... more>>

Luscious Lemonade - Judy Ann Brown
active problem Math Fundamentals, difficulty level 3. The label on the lemon concentrate says that I need to mix 2 cups of concentrate with 3 cups of water. How much lemon concentrate should I buy to make 25 gallons of lemonade? ... more>>

The Magic of Number 6174 - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 4. Have fun exploring this number magic. ... more>>

Making Money - Alice Miller
active problem Pre-Algebra, difficulty level 3. How much money would you have by December 31, 1999, if you put 10 cents in the special "math" bank on January 1, 1999? ... more>>

Math Club Lollipop Profits - Judy Ann Brown
active problem Math Fundamentals, difficulty level 3. The Math Club plans to sell lollipops. Help them to calculate their profit. ... more>>

Math Club Ski Trip - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Mrs. Germain and her friend, Mrs. Granville, need your help to plan the shortest route to visit five local ski areas. ... more>>

Measuring Melons - Suzanne Alejandre, Claire Mead
teacher support active problem Pre-Algebra, difficulty level 3. Students determine how much each type of fruit weighs. ... more>>

Membership Boom! - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Find the number of students involved in the Math Club, and the number of students in the school. ... more>>

Mikey and Lily Eat Cereal - Stephen Weimar, Annie Fetter, Suzanne Alejandre
active problem Pre-Algebra, difficulty level 3. How much of a box of cereal do Mikey and Lily each have left? ... more>>

Milk Madness - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes. ... more>>

Milo's Mile - Stephen Weimar, Annie Fetter, Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Use data to describe how the number of minutes it takes Milo to run a mile changes as his speed changes. ... more>>

Mirror Musing - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is. ... more>>

Money Maker? - Leigh Nataro, Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 4. Would you rather earn $10 a week, or take a chance every week on the money in this paper bag? ... more>>

The Most Appealing Nose Contest - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Use the given information to determine the amount of money raised for the Humane Society by the Student Council. ... more>>

Movie Seating - Maria Fung and her students
teacher support active problem Pre-Algebra, difficulty level 2. Use the clues to determine where Mom, Dad, Randy, Shelley, Noreen, and Alan sit at the movie theater. ... more>>

Mr. Carmel's Party Plan - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Help Mr. Carmel's class earn an ice cream party by counting the number of possible sundaes. ... more>>

Mr. Pearson's Statistics Lesson - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Use the information on the graph to find the range, mean, median, and mode of the data. ... more>>

My Almond Cookie Bake - Lisa Lavelle
active problem Pre-Algebra, difficulty level 3. Convert this cookie recipe to feed the March Madness celebrators. ... more>>

The Name Game - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. The first student says his/her own name; the second student repeats the first student's name and adds his/her own name... How many names are said if the numbers of students in my math classes on the first day are 27, 28, 32, 31, and 30? ... more>>

New Home for Fibonacci and Fractal - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15-gallon aquarium. ... more>>

The Nutty Squirrel - Alice Miller
active problem Pre-Algebra, difficulty level 3. How high could a human jump if she could jump with the power of a squirrel? ... more>>

Oceans of Fun - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Help the Math Club approximate the portion of the Earth's surface that is covered by the oceans. ... more>>

Office Tile Choice - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Find the total cost of purchasing tiles for my office. ... more>>

Olympic Temperature - Judy Ann Brown
active problem Pre-Algebra, 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. ... more>>

Open and Shut Case - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Find the locker combination using mathematical clues. ... more>>

Operating Diagonally - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 2. Think about the effect of multiplication and addition on the numbers in the hundreds chart. ... more>>

The Oracle's Oration - Annie Fetter
teacher support active problem Pre-Algebra, difficulty level 3. Explain how payment should be distributed based on the number of rolls two people shared with the group of three. ... more>>

Organization of Data - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. Use the information on the graph to find the range, mean, median, and mode of the data. ... more>>

Ostrich Llama Count - Suzanne Alejandre
teacher support active problem Pre-Algebra, 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. ... more>>

Palindrome Day - Judy Ann Brown
active problem Pre-Algebra, difficulty level 2. How many Palindrome Days are there in a year? ... more>>

Partial Area - Judy Ann Brown
active problem Pre-Algebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square. ... more>>

Paving Stones - Suzanne Alejandre
teacher support active problem Pre-Algebra, difficulty level 1. How many stones did Kathy need to buy to pave an area in her yard? ... more>>

Peanut's Back Yard - Jonathan Bauer
active problem Pre-Algebra, 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? ... more>>

Peeling Potatoes - Terry Trotter
teacher support active problem Pre-Algebra, difficulty level 2. How many potatoes did Annie and Steve have to peel? ... more>>

Pegging Possibilities - Michael Urbut
active problem Pre-Algebra, difficulty level 2. Explore the number of possible arrangements of pegs in this logic game. ... more>>

Perfect Timing - Steve Risberg & Stephen Weimar
teacher support active problem Pre-Algebra, difficulty level 3. Find out what time Eva and Aurora reached the resort. ... more>>

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