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number sense
 large/small numbers
 place value

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Math Fundamentals
operations with numbers
number sense
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Math Fundamentals
Problems
Math Fundamentals
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Number Sense
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These problems encourage students to develop their number sense, including knowledge of number meanings, relationships among numbers, recognition of the relative magnitude of numbers, and place value.
Some of these problems are also in the following subcategories:
- Related Resources
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Interactive resources from our Math Tools project:

Math 4: Number Sense
The closest match in our Ask Dr. Math archives:

Elementary Number Sense/About Numbers
NCTM Standards:

Number and Operations Standard for Grades 3-5
Access to these problems requires a Membership.
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Buy the Numbers
- Claire Mead
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Math Fundamentals, difficulty level 3. How many apartments can Tabitha number with the digits she purchased?
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Chelsea's Number Puzzle
- Claire Mead
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Math Fundamentals, difficulty level 2. Help Chelsea solve this addition number puzzle using the numbers 1 through 9.
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Darlene's Dart Board
- Claire Mead
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Math Fundamentals, difficulty level 3. How many darts does it take to win on Darlene's dart board?
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Five Digits of Fun
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Find a five-digit number based on these clues.
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Four Playful Mathematicians
- inspired by Maria Fung's class at Western Oregon
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Math Fundamentals, difficulty level 2. Follow the clues to help the four playful mathematicians return the lost watch.
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Georg Tricks the Troll
- Terry Trotter
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Elementary, difficulty level 3. Georg decides to tangle with the troll and see if he can make some money.
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Golden Gate Bridge *
- Claire Mead
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Math Fundamentals, difficulty level 2. Find out how much wire was used in the two main cables of the Golden
Gate Bridge.
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Heidi's Hometown
- Claire Mead
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Math Fundamentals, difficulty level 2. How many people lived in Heidi's hometown at the end of 2007?
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Horton's Clover Hunt
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Find out how fast Horton had to work picking clovers.
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How Safe Is Your Bike?
- Chief Brian Craig and Lisa Lavelle
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Math Fundamentals, difficulty level 3. Compare the bicycle theft rates in three different cities.
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I Like to Palindrive!
- Kristina Lasher
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Math Fundamentals, difficulty level 3. How many palindromic numbers will appear on Kristina's odometer in October, 2003?
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A Million in Time
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. "Human beings can expect to live a million..." Use your conversion skills to determine which unit of time best completes this statement.
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Miracle Miranda and the Mascot
- Claire Mead
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Math Fundamentals, difficulty level 4. Compare salaries of the star player and the team mascot.
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Missing Pages
- Claire Mead
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Math Fundamentals, difficulty level 2. Drew's math book is missing a page. What are the page numbers on the missing page?
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Multiplication Mystery
- Ya. I. Perelman (translated from Russian by Valentina Sokolskaya)
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Math Fundamentals, difficulty level 3. Decipher this cryptic multiplication problem to uncover the final product.
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Order in the Court *
- Claire Mead
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Math Fundamentals, difficulty level 2. How many handshakes will take place when the Supreme Court meets?
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Penny Space
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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The Place Value Game
- Kristina Lasher
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Math Fundamentals, difficulty level 2. Help Sylvia and Carina think about winning numbers in the Place Value Game.
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Pondering Palindromes
- Mary DeYoung & class
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Math Fundamentals, difficulty level 1. Explore 4-digit palindromes and find something else they have in common.
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Presidential Timepieces
- Mary DeYoung & class
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Math Fundamentals, difficulty level 4. Develop a sense of time by exploring presidential events.
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Sacagawea Cheerios
- Stephen Maurer
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Math Fundamentals, difficulty level 3. Determine how many Sacagawea coins the government will give away during this Cheerios promotion.
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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?
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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.
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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.
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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.
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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.
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Zero Dates
- Stephen Maurer
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Math Fundamentals, difficulty level 2. Travel in time to think about dates with zeros.
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