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Math Fundamentals
Problems
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
3-5.
Access to these problems requires a Membership.
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Salad Daze *
- Claire Mead
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Math Fundamentals, difficulty level 3. How many students in Ashley's class put no tomato, carrot or cucumber
on their salads?
... more>>
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Saline Solutions
- Lisa Lavelle
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Elementary, difficulty level 3. Measure the ingredients needed to mix the saline solutions.
... more>>
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School Spirit
- Kristina Lasher
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Math Fundamentals, difficulty level 1. Do a little estimating to determine how much money is needed to buy school spirit items.
... more>>
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School, Who Has Time?
- Lisa Lavelle (old remembered puzzle)
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Math Fundamentals, difficulty level 3. Given all the time we spend doing other things, how do we have time for school?
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Seasonal Probability
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Calculate the probability that your birthday falls in a particular season of the year.
... more>>
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Set a Date
- Lisa Lavelle (with help from Judy Ann Brown)
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Math Fundamentals, difficulty level 3. Explore an interesting detail about a given date, and find six more dates with the same quality.
... more>>
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Sharing Birthdays
- Claire Mead
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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
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Math Fundamentals, difficulty level 3. Find out how many smelt Larry caught Saturday morning.
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She Counts Seashells *
- Claire Mead
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Math Fundamentals, difficulty level 2. How many shells does Marcia have in her collection?
... more>>
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Sheila's Shelves
- Claire Mead
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Math Fundamentals, difficulty level 2. How much space will Sheila have on her new book shelves?
... more>>
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Shopping at the School Store
- Claire Mead
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Math Fundamentals, difficulty level 2. How much does a pencil cost at the school store? How much does an eraser cost?
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Shop 'Til You Drop *
- Claire Mead
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Math Fundamentals, difficulty level 3. Find out how much Jason spent on his first back-to-school shopping trip.
... more>>
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Siblings
- Claire Mead
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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
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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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So Many Salmon
- Allison Armstrong
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Math Fundamentals, difficulty level 2. Armida helps researchers by tagging salmon at the Big Eagle hatchery.
Do her co-workers work faster or slower than she does?
... more>>
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Something Fishy
- Basden's 8th Hour MathDogs
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Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond.
... more>>
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Something Fishy
- Basden's 8th Hour MathDogs and Claire Mead
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Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi to go in the fish pond.
... more>>
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Special Stars
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain.
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Speeders, Beware!
- Stephen Maurer (and Chief Brian Craig)
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Elementary, difficulty level 4. Evaluate the method the Swarthmore Borough Police Department uses for catching speeders.
... more>>
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Splish Splash
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
... more>>
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Sports Weigh In
- Claire Mead
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Math Fundamentals, difficulty level 3. Use three scale readings to find the weight of the soccer ball, the
tennis ball, and the
baseball.
... more>>
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Sprinkler Spray
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Compare the radii of three sprinklers in Lily's garden.
... more>>
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Stained Glass Window
- Jackson First Year Algebra Class
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Elementary, difficulty level 5. Find the size of a stained glass window for my front door.
... more>>
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Subway Subtotals
- Kristina Lasher
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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>>
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Subway Tokens
- Annie Fetter and Claire Mead
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Math Fundamentals, difficulty level 2. How did Samantha know the subway token machine didn't behave as advertised?
... more>>
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Summer at Sweet Tooth
- Ross Shelter & Carrie Shankweiler
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Math Fundamentals, difficulty level 2. Calculate Kate's earnings during her summer waitressing job.
... more>>
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Summer Shoe Leftovers
- Teaching the Young Learner Group
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Math Fundamentals, difficulty level 4. Determine which of the leftover shoes might satisfy three shoppers' needs.
... more>>
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The Sum of Four Numbers
- Lisa Lavelle
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Math Fundamentals, difficulty level 1. Determine the truth about four numbers, given some information about their sum.
... more>>
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Sundaes
- Claire Mead
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Math Fundamentals, difficulty level 3. How many children had no topping on their ice cream?
... more>>
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Super Deal Salsa
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk.
... more>>
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Taking Tolls
- Ben Lee
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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>>
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Tangrams
- Claire Mead
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Math Fundamentals, difficulty level 2. Discover some of the relationships among the pieces in a set of Tangrams.
... more>>
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Tatianna and the Troll
- Terry Trotter, revised
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Elementary, difficulty level 3. Tatianna tests the troll... and neither loses nor gains.
... more>>
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Team Tag
- Corinne MacPherson (adapted from Faces of Mathematics by A. Wayne Roberts)
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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?
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Teresa's Tiles
- Kristina Lasher
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Math Fundamentals, difficulty level 3. How many square tiles does Teresa need to cover her bathroom floor?
... more>>
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The Math of the Irish
- Claire Mead
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Math Fundamentals, difficulty level 3. Use the mean age of the group to find Uncle Paddy's age.
... more>>
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The Teddy Bears' Banquet *
- Claire Mead
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Math Fundamentals, difficulty level 3. How many bears can be seated at the banquet?
... more>>
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Timber!!!
- Lisa and Judy Gardner
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Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree.
... more>>
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Time to Get Up
- Claire Mead
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Math Fundamentals, difficulty level 1. What time should Raul get up to make sure he does not miss the bus?
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Tourists in Turkey
- Arda Antikacioglu
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Elementary, difficulty level 4. Analyze tourism data from Turkey to discover how many people visited specific areas of the country last year.
... more>>
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Toys To Go
- Claire Mead
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Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store.
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Trapezoid Teatime
- Claire Mead
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Math Fundamentals, difficulty level 3. Find out how many guests can sit at a row of trapezoid tables at the school volunteers' tea.
... more>>
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Tricky Triangles
- Lisa Lavelle
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Elementary, difficulty level 3. Arrange six toothpicks to create special triangles.
... more>>
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The Twelve Percents of Christmas
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Calculate the percentages of the total gifts received on each of the twelve days of Christmas.
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The Twelve What of Christmas??
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Have fun with mathematics definitions in this play on a famous holiday song.
... more>>
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Victoria in Bloom
- Claire Mead
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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>>
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Video Trading
- Joyce Hoellein & Class
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Math Fundamentals, difficulty level 2. Determine the number of trades necessary for each of the 4-H members to see each of the video tapes.
... more>>
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Video Viewing
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch?
... more>>
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Volume Experiment
- Judy Ann Brown
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Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
... more>>
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Volunteering at the Food Bank
- Abby Martin
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Math Fundamentals, difficulty level 2. Calculate the number of volunteer hours needed to keep a food bank in operation.
... more>>
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