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Addition
These problems require students to perform basic operations with numbers. Addition is central to solving the problems completely, though it may not be the only required operation.

Related Resources
Interactive resources from our Math Tools project:
   Math 4: Operations with Numbers
The closest match in our Ask Dr. Math archives:
   Elementary Addition
NCTM Standards:
   Number and Operations Standard for Grades 3-5

Access to these problems requires a Membership.

Across Australia - Lisa Lavelle
active problem Math Fundamentals, difficulty level 2. Help Mr. W figure out when he needs to start his trip in order to meet Mrs. W on time (requires a bit of map reading). ... more>>

Across the Netherlands - Maggie Hos-McGrane
teacher support active problem Math Fundamentals, difficulty level 2. Help sort out this bike trip through the Netherlands (requires a bit of map reading). Initially a two-week problem. ... more>>

Aidan's Millimeter Measurements - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 1. Calculate Aidan's height and age based on his well-baby measurements at the doctor's office. ... more>>

Back-to-school Supplies - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Help calculate the total bill for these back-to-school supplies. ... more>>

Beautiful Borders - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Help Abbie total the bill for sprucing up her room. ... more>>

Birthday Beach Bash - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Help determine how many balloons were needed for party favors at the end of this celebration. ... more>>

Birthday Probability - Kristina Lasher & Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. What is the likelihood that someone is born on an even or odd day of the month? Are you more likely to be born on a prime number day or a multiple of 3? ... more>>

The Chocolate Allergy Revelation - Antiquity (Steve Earth)
teacher support active problem Math Fundamentals, difficulty level 5. Use meta-reasoning to deduce the ages of three people based on a product, a sum, and a seemingly irrelevant third piece of information. ... more>>

Choose Your Challenge - Kristina Lasher
teacher support active problem Math Fundamentals, difficulty level 2. Can Zak find a more precise measure of how much older his brother is than he is? ... more>>

Cicada Circus - Kristina Lasher and special thanks to John Cooley
teacher support active problem Math Fundamentals, difficulty level 2. Use the table of information about periodical cicadas to figure out when the next time is that there will be three years in a row without an emergence. ... more>>

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

Crack the Code - Christi Sather and Kristina Lasher
teacher support active problem Math Fundamentals, difficulty level 2. Help Christi use the clues to figure out which code will unlock the vault. ... more>>

Cupcakes, Cupcakes! - Kristina Lasher & Terry Trotter
teacher support active problem Math Fundamentals, difficulty level 1. Andrei needs to put icing on the cupcakes and get out the door to catch the bus. Will he and his sister be able to get them all iced in time? ... more>>

Dad's Cookies - Diane Anderson's Teaching the Young Learner Class
teacher support active Math Fundamentals, difficulty level 3. Figure out how many cookies Dad baked for the family before they ate them all! ... more>>

Driving Decisions - Kristina Lasher
teacher support active problem Math Fundamentals, difficulty level 4. Help the Downings decide which car rental is the best option for their trip to Denver. ... more>>

Elevator Weigh-in - Kristina Lasher
teacher support active problem Math Fundamentals, difficulty level 2. Would Melissa's family and neigbors exceed the maximum weight allowance of their apartment building elevator? If not, how many more would fit? ... more>>

Erika's Rock Collection - Elisabeth and Stephen Baseman and Chamberlain
teacher support active problem Math Fundamentals, difficulty level 2. Find out how many rocks Erika has collected over the years. ... more>>

Flying Time Zones - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Help me figure out what time my watch should show when I land in Denver. ... more>>

Frog Farming - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 2. Help Farmer Mead build a rectangular pen that holds the greatest number of frogs. ... more>>

Funny Money - Lisa Lavelle (adapted)
teacher support active problem Math Fundamentals, difficulty level 2. Determine the amount of money Divya has in her bank. ... more>>

Garden Fresh Fruit - Shrawan Khanna's Ninth Grade Class
teacher support active problem Math Fundamentals, difficulty level 4. Help the poor farmer predict his revenue (if he can sell all his fruit). ... more>>

Holiday Shopping and Surfing - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Help Charlene calculate the change she'll have left for holiday card supplies after she completes her online shopping. ... more>>

How Old is Dad? - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 2. Use the clues to find out how old Dad is. ... more>>

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

Irish Specials - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Calculate the final bill for our St. Patrick's Day dinner last week. ... more>>

Jumping Rope - Leon Roland & class
teacher support active problem Math Fundamentals, difficulty level 2. Just how long was the rope with which we started? ... more>>

Let the Chips Fall . . . - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 3. Use clues about sums to determine which digits are on the reverse sides of three given chips. ... more>>

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

Lucky Lettuce Land - Kainoa Trotter, et al.
teacher support active problem Math Fundamentals, difficulty level 3. Help Farmer Lucky fence his lettuce land. ... more>>

The Mad Hatter's Gone! - Leanne Gater
teacher support active problem Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese. ... more>>

Magic Square Jumble - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 3. Help straighten out this magic square. ... more>>

The Math Teacher's Ties - Brentwood College School - Math 12(1)
teacher support active problem Math Fundamentals, difficulty level 3. Read the rhyme and determine the number of ties the math teacher has in his wardrobe. ... more>>

Mean Jellybeans - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 4. Take a look at averages with Mr. Cal Q. Later and his class. ... more>>

Meters of Money - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Help Ms. Juncos's class determine the amount of money they will raise with this metric project. ... more>>

Nuts in a Bowl - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 3. Determine how many nuts are in five bowls using the given clues. ... more>>

Oh, Brother! - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 1. Aidan is how many days younger than T.J.? ... more>>

The Place Value Game - Kristina Lasher
teacher support active problem Math Fundamentals, difficulty level 2. Help Sylvia and Carina think about winning numbers in the Place Value Game. ... more>>

Rugby Rules! - Ben Comstock and Claire Mead
teacher support active problem Math Fundamentals, difficulty level 3. Find all the ways Western could have scored 27 points in their rugby game. ... more>>

School Spirit - Kristina Lasher
teacher support active problem 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)
teacher support active problem 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
teacher support active problem Math Fundamentals, difficulty level 2. Calculate the probability that your birthday falls in a particular season of the year. ... more>>

Sharing Birthdays - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 2. How old will Alana be when her mother is three times Alana's age? ... more>>

A Simple Reversal - Judy Ann Brown
teacher support active problem 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>>

Something Fishy - Basden's 8th Hour MathDogs
teacher support active problem Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond. ... more>>

The Sum of Four Numbers - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 1. Determine the truth about four numbers, given some information about their sum. ... more>>

Sundaes - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 3. How many children had no topping on their ice cream? ... more>>

Tangrams - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 2. Discover some of the relationships among the pieces in a set of Tangrams. ... more>>

The Twelve Percents of Christmas - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Calculate the percentages of the total gifts received on each of the twelve days of Christmas. ... more>>

Victoria in Bloom - Claire Mead
teacher support active problem 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>>

Water Park Adventure - Leon Roland & class
teacher support active problem Math Fundamentals, difficulty level 2. How much does each member of the class need to earn to fund the field trip? ... more>>

What Was That Score? - Lisa Lavelle
teacher support active problem Math Fundamentals, difficulty level 2. Determine the football (not soccer!) score. ... more>>

Wooden Legs - Claire Mead
teacher support active problem Math Fundamentals, difficulty level 2. How many different ways can Wendy use 31 legs to build wooden dollhouse furniture? ... more>>

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

Zoo Trip - Melissa Cavanaugh (Western Oregon University) & Math Forum Staff
teacher support active problem Math Fundamentals, difficulty level 2. How many adults and seniors will Melissa's family take to the zoo? ... more>>

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