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Math Fundamentals
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Browse all Math Fundamentals Problems of the Week
The Math Fundamentals Problems are designed for those students who are working to strengthen their basic mathematics skills and who are beginning to make connections between
different areas of mathematics. The problems cover approximately the same materials as the NCTM Standards for Grades
35.
Access to these problems requires a Membership.

Salad Daze *
 Claire Mead

Math Fundamentals, difficulty level 3. How many students in Ashley's class put no tomato, carrot or cucumber
on their salads?
... more>>

Saline Solutions
 Lisa Lavelle

Elementary, difficulty level 3. Measure the ingredients needed to mix the saline solutions.
... more>>

School Spirit
 Kristina Lasher

Math Fundamentals, difficulty level 1. Do a little estimating to determine how much money is needed to buy school spirit items.
... more>>

School, Who Has Time?
 Lisa Lavelle (old remembered puzzle)

Math Fundamentals, difficulty level 3. Given all the time we spend doing other things, how do we have time for school?
... more>>

Seasonal Probability
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the probability that your birthday falls in a particular season of the year.
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Set a Date
 Lisa Lavelle (with help from Judy Ann Brown)

Math Fundamentals, difficulty level 3. Explore an interesting detail about a given date, and find six more dates with the same quality.
... more>>

Sharing Birthdays
 Claire Mead

Math Fundamentals, difficulty level 2. How old will Alana be when her mother is three times Alana's age?
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Sharing Smelt
 Claire Mead

Math Fundamentals, difficulty level 3. Find out how many smelt Larry caught Saturday morning.
... more>>

She Counts Seashells *
 Claire Mead

Math Fundamentals, difficulty level 2. How many shells does Marcia have in her collection?
... more>>

Sheila's Shelves
 Claire Mead

Math Fundamentals, difficulty level 2. How much space will Sheila have on her new book shelves?
... more>>

Shopping at the School Store
 Claire Mead

Math Fundamentals, difficulty level 2. How much does a pencil cost at the school store? How much does an eraser cost?
... more>>

Shop 'Til You Drop *
 Claire Mead

Math Fundamentals, difficulty level 3. Find out how much Jason spent on his first backtoschool shopping trip.
... more>>

Siblings
 Claire Mead

Math Fundamentals, difficulty level 2. Use clues to find out how many boys and girls are in Alex's family.
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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?
... more>>

So Many Salmon
 Allison Armstrong

Math Fundamentals, difficulty level 2. Armida helps researchers by tagging salmon at the Big Eagle hatchery.
Do her coworkers work faster or slower than she does?
... more>>

Something Fishy
 Basden's 8th Hour MathDogs

Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond.
... more>>

Something Fishy
 Basden's 8th Hour MathDogs and Claire Mead

Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi to go in the fish pond.
... more>>

Special Stars
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain.
... more>>

Speeders, Beware!
 Stephen Maurer (and Chief Brian Craig)

Elementary, difficulty level 4. Evaluate the method the Swarthmore Borough Police Department uses for catching speeders.
... more>>

Splish Splash
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
... more>>

Sports Weigh In
 Claire Mead

Math Fundamentals, difficulty level 3. Use three scale readings to find the weight of the soccer ball, the
tennis ball, and the
baseball.
... more>>

Sprinkler Spray
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden.
... more>>

Stained Glass Window
 Jackson First Year Algebra Class

Elementary, difficulty level 5. Find the size of a stained glass window for my front door.
... more>>

Subway Subtotals
 Kristina Lasher

Math Fundamentals, difficulty level 2. When people ride the subway, they can pay with money, tokens, or transit cards. How did the people in my subway car pay their fare this morning?
... more>>

Subway Tokens
 Annie Fetter and Claire Mead

Math Fundamentals, difficulty level 2. How did Samantha know the subway token machine didn't behave as advertised?
... more>>

Summer at Sweet Tooth
 Ross Shelter & Carrie Shankweiler

Math Fundamentals, difficulty level 2. Calculate Kate's earnings during her summer waitressing job.
... more>>

Summer Shoe Leftovers
 Teaching the Young Learner Group

Math Fundamentals, difficulty level 4. Determine which of the leftover shoes might satisfy three shoppers' needs.
... more>>

The Sum of Four Numbers
 Lisa Lavelle

Math Fundamentals, difficulty level 1. Determine the truth about four numbers, given some information about their sum.
... more>>

Sundaes
 Claire Mead

Math Fundamentals, difficulty level 3. How many children had no topping on their ice cream?
... more>>

Super Deal Salsa
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk.
... more>>

Taking Tolls
 Ben Lee

Math Fundamentals, difficulty level 2. How much money did the Lincoln Tunnel into Manhattan collect between 3:30 and 4:30 PM on December 30, 2003?
... more>>

Tangrams
 Claire Mead

Math Fundamentals, difficulty level 2. Discover some of the relationships among the pieces in a set of Tangrams.
... more>>

Tatianna and the Troll
 Terry Trotter, revised

Elementary, difficulty level 3. Tatianna tests the troll... and neither loses nor gains.
... more>>

Team Tag
 Corinne MacPherson (adapted from Faces of Mathematics by A. Wayne Roberts)

Elementary, difficulty level 3. In the game of Team Tag, each kid (excluding Allison) earned a different number of points. How many points did Allison's teammate Jenny earn?
... more>>

Teresa's Tiles
 Kristina Lasher

Math Fundamentals, difficulty level 3. How many square tiles does Teresa need to cover her bathroom floor?
... more>>

The Math of the Irish
 Claire Mead

Math Fundamentals, difficulty level 3. Use the mean age of the group to find Uncle Paddy's age.
... more>>

The Teddy Bears' Banquet *
 Claire Mead

Math Fundamentals, difficulty level 3. How many bears can be seated at the banquet?
... more>>

Timber!!!
 Lisa and Judy Gardner

Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
... more>>

Time to Get Up
 Claire Mead

Math Fundamentals, difficulty level 1. What time should Raul get up to make sure he does not miss the bus?
... more>>

Tourists in Turkey
 Arda Antikacioglu

Elementary, difficulty level 4. Analyze tourism data from Turkey to discover how many people visited specific areas of the country last year.
... more>>

Toys To Go
 Claire Mead

Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store.
... more>>

Trapezoid Teatime
 Claire Mead

Math Fundamentals, difficulty level 3. Find out how many guests can sit at a row of trapezoid tables at the school volunteers' tea.
... more>>

Tricky Triangles
 Lisa Lavelle

Elementary, difficulty level 3. Arrange six toothpicks to create special triangles.
... more>>

The Twelve Percents of Christmas
 Lisa Lavelle

Math Fundamentals, difficulty level 2. Calculate the percentages of the total gifts received on each of the twelve days of Christmas.
... more>>

The Twelve What of Christmas??
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Have fun with mathematics definitions in this play on a famous holiday song.
... more>>

Victoria in Bloom
 Claire Mead

Math Fundamentals, difficulty level 2. Find combinations of trees and/or shrubs that could have totaled
2,005,500 blossoms in the
park in Victoria.
... more>>

Video Trading
 Joyce Hoellein & Class

Math Fundamentals, difficulty level 2. Determine the number of trades necessary for each of the 4H members to see each of the video tapes.
... more>>

Video Viewing
 Lisa Lavelle

Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch?
... more>>

Volume Experiment
 Judy Ann Brown

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

Volunteering at the Food Bank
 Abby Martin

Math Fundamentals, difficulty level 2. Calculate the number of volunteer hours needed to keep a food bank in operation.
... more>>
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