Math Forum - Problems Library - Math Fundamentals, Patterns

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Math Fundamentals
operations with numbers
number sense
number theory
parts of wholes
ratio & proportion
algebraic reasoning
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geometry
logical reasoning
measurement/units
statistics & data analysis
patterns
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Patterns
Noticing and describing patterns is helpful in solving these problems.

Related Resources
Interactive resources from our Math Tools project:
   Math 4: Algebra
NCTM Standards:
   Algebra Standard for Grades 3-5

Access to these problems requires a Membership.

Buy the Numbers - Claire Mead
Math Fundamentals, difficulty level 3. How many apartments can Tabitha number with the digits she purchased? ... more>>

Catching Up! - Kristina Lasher
Math Fundamentals, difficulty level 3. Marika is catching up to her father's age. How can that be? ... more>>

Clock Work - Claire Mead
Math Fundamentals, difficulty level 2. How did Maria and Sammy arrange their pencils on the clock face? ... more>>

Cool Cubes - Heather Cool and Lisa Lavelle
Math Fundamentals, difficulty level 3. Can Jackie really mark her cubes so that each sum from 1 to 36 is possible? ... more>>

Crossing the River with Ogres - Claire Mead
Math Fundamentals, difficulty level 2. Find out how many times the boat must cross the river to get all the gnomes and ogres to the other side. ... more>>

Eating Grapes - Claire Mead
Math Fundamentals, difficulty level 3. How many grapes did Angela eat on Monday? ... more>>

Emmy's Action Figures - Claire Mead
Math Fundamentals, difficulty level 2. In how many different ways can Emmy arrange her Famous Mathematician action figures? ... more>>

Fish in a Barrel - Claire Mead
Math Fundamentals, difficulty level 3. Find out how many fish Jake, Herman and Luke each took home from their fishing trip. ... more>>

Four Dates - Claire Mead
Math Fundamentals, difficulty level 2. Anthony explores number patterns on a calendar. ... more>>

Growing Worms - Claire Mead
Math Fundamentals, difficulty level 3. Find a pattern to predict the growth of worms made of triangles. ... more>>

I Like to Palindrive! - Kristina Lasher
Math Fundamentals, difficulty level 3. How many palindromic numbers will appear on Kristina's odometer in October, 2003? ... more>>

Imogene the Imp * - Claire Mead
Math Fundamentals, difficulty level 3. How many people have to get on the Ferris Wheel before Imogene is at the front of the line? ... more>>

Just the Facts * - Claire Mead
Math Fundamentals, difficulty level 3. It's not a good idea to guess in this game! Find out how many multiplication facts Zach got right. ... more>>

Lighting the Menorah - Lillian Ray and Claire Mead
Math Fundamentals, difficulty level 1. How many candles are used during Chanukah? ... more>>

Mini-Movie Theater Seating - Chrissy Stewart (adapted)
Elementary, difficulty level 3. How many rowdy kids can sit in the Mini-Movie Theater? ... more>>

Missing Pages - Claire Mead
Math Fundamentals, difficulty level 2. Drew's math book is missing a page. What are the page numbers on the missing page? ... more>>

Monmouth Mountain Bikes - Kristina Lasher
Math Fundamentals, difficulty level 1. How many mountain bikes will have the highest level of safety testing? ... more>>

More Mowing Madness - George Miller and Lisa Lavelle
Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Matt-mowing" work? ... more>>

Mr. Lincoln's Line * - Claire Mead
Math Fundamentals, difficulty level 3. Find out who's wearing glasses and carrying lunch boxes in Mr. Lincoln's lunch line. ... more>>

Mystery Numbers - CanSchoolNet - revised
Math Fundamentals, difficulty level 2. Fill in the missing numbers on an ancient scroll. ... more>>

Olympic Rings Repair - Lisa Lavelle
Math Fundamentals, difficulty level 3. Help answer Jellybean's question about the Olympic rings. ... more>>

Order in the Court * - Claire Mead
Math Fundamentals, difficulty level 2. How many handshakes will take place when the Supreme Court meets? ... more>>

Pirate Treasure * - Claire Mead
Math Fundamentals, difficulty level 3. How many trips will it take to get the pirates and their treasure back to the ship? ... more>>

Pondering Palindromes - Mary DeYoung & class
Math Fundamentals, difficulty level 1. Explore 4-digit palindromes and find something else they have in common. ... more>>

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>>

Shop 'Til You Drop * - Claire Mead
Math Fundamentals, difficulty level 3. Find out how much Jason spent on his first back-to-school shopping trip. ... 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>>

Teresa's Tiles - Kristina Lasher
Math Fundamentals, difficulty level 3. How many square tiles does Teresa need to cover her bathroom floor? ... more>>

The Teddy Bears' Banquet * - Claire Mead
Math Fundamentals, difficulty level 3. How many bears can be seated at the banquet? ... 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>>

Video Trading - Joyce Hoellein & Class
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>>

You Think Your Teacher is Tough!* - Claire Mead
Math Fundamentals, difficulty level 2. Use Mr. Garcia's scoring system to find out how many problems Tyler got correct on his test. ... more>>

Zoo Train - Claire Mead
Math Fundamentals, difficulty level 3. How many passengers boarded the zoo train? ... more>>

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