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Pre-Algebra
operations with numbers
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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.

Seesaw - Suzanne Alejandre
Pre-Algebra, difficulty level 3. How did the four friends balance on the seesaw? ... more>>

Shapes Rock - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the number of diagonals in a polygon of 40 sides. ... more>>

Sharing Birthday Cake - Ian Underwood
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. ... more>>

Shelvin's Scores - Suzanne Alejandre
Pre-Algebra, difficulty level 2. How many of each kind of question did Shelvin get right? ... more>>

Shine On Harvest Moon - Judy Ann Brown
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. ... more>>

Shortcut Savings - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find a rule to tell how much distance I will save when I take the shortcut. ... more>>

The Silver Mile - Judy Ann Brown
Pre-Algebra, difficulty level 3. Determine the total value of the coins in a silver mile. ... more>>

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? ... more>>

Sing a Song of Sunscreen - Mai Sidawi and Lillian Ray
Pre-Algebra, 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 my-neck-is-sunburnt blues. ... more>>

Sizing Up Sequoias - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Compared to a given seed weight, find out how much an average mature sequoia weighs. ... more>>

Sketchley Names That Negative - Suzanne Alejandre, Steve Risberg
Pre-Algebra, difficulty level 2. Use five given negative numbers to form an expression that equals the target number. ... more>>

Sketchley Names That Number - Steve Risberg
Pre-Algebra, difficulty level 1. Use five given integers to form an expression that equals the target number. ... more>>

Snow Day Phone Chain - Judy Ann Brown
Pre-Algebra, difficulty level 4. Use the given information to find out how many phone calls were made. ... more>>

A Snowy Driveway - Claire Mead
Pre-Algebra, difficulty level 3. Usually Bertha and Gertrude shovel snow together. How long would it take Bertha to shovel the same amount alone? ... more>>

Spring Garden Planning - Judy Ann Brown
Pre-Algebra, difficulty level 4. Find the area as well as the length and width of my fractional garden. ... more>>

Square Dancing - Judy Ann Brown
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. ... more>>

Stacking Wood - Annie Fetter
Pre-Algebra, difficulty level 2. Find how many cords of wood the woodshed will hold. ... more>>

A Stellar Garden - Bill Marthinsen
Pre-Algebra, difficulty level 3. Martha Stewart wants to rebuild her ugly garden. She needs help calculating the areas in the new garden. ... more>>

Stina's Hike - Annie Fetter
Pre-Algebra, difficulty level 2. Choose the graph that best represents Stina's hike. ... more>>

Student Council Elections - Judy Ann Brown
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. ... more>>

Study Hall Games - Judy Ann Brown
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. ... more>>

Suli's Sense - Encyclop´┐Żdia Britannica Math in Context
Pre-Algebra, difficulty level 3. Explain if Suli's result was a coincidence. ... more>>

Super Bowl XXXIII - Judy Ann Brown
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
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
Pre-Algebra, difficulty level 3. Identify the types of symmetries of each of three patterns. ... more>>

Tasty Tomato Salsa - Suzanne Alejandre
Pre-Algebra, 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? ... more>>

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

Thanksgiving Travel - Suzanne Alejandre & Maria Fung and her students
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
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
Pre-Algebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook. ... more>>

Tiling Tables - Suzanne Alejandre
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
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
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
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
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
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
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
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
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
Pre-Algebra, difficulty level 3. Use clues to find the mystery palindrome. ... more>>

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

Tunnel Time - Annie Fetter, Ian Underwood, Suzanne Alejandre
Pre-Algebra, difficulty level 2. At what time does the end of the train emerge from the tunnel? ... more>>

Twisting Carpet Tiles - Suzanne Alejandre
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>>

Two Heads Are Better Than One - Lillian Ray
Pre-Algebra, difficulty level 3. Given the combined number of heads and legs of ostriches and pushmi-pullyus, will Raquel and Esperanza be able to know for sure how many ostriches and pushmi-pullyus are on the farm? ... more>>

Two Toss - Suzanne Alejandre
Pre-Algebra, difficulty level 3. What's the probability that Max scored a point in the Two Toss Game? ... more>>

Unknown Numbers - Suzanne Alejandre and Lillian Ray
Pre-Algebra, difficulty level 2. Use the four equations to figure out which numbers the quadrilateral and the circle represent. ... more>>

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

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

Val's Value - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Who has paid more for their jackets, Amir or Val? ... more>>

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

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