Math Forum - Problems Library - Math Fundamentals, Operations with Numbers: Addition

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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 the Netherlands - Maggie Hos-McGrane
Math Fundamentals, difficulty level 5. 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
Math Fundamentals, difficulty level 1. Calculate Aidan's height and age based on his well-baby measurements at the doctor's office. ... more>>

All Aboard! - Claire Mead
Math Fundamentals, difficulty level 3. How long will Sasha's train trip from Washington to Chicago take? ... more>>

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

Baseball Cards - Claire Mead
Math Fundamentals, difficulty level 2. How many cards does each of the three boys have in his baseball card collection? ... more>>

Birthday Beach Bash - Lisa Lavelle
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
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>>

Bobsled Sums - Bob and Claire Mead
Math Fundamentals, difficulty level 3. Find which men rode with driver number 1 on his four-man bobsled. ... more>>

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

Change You Can't Count On - Claire Mead
Math Fundamentals, difficulty level 2. What is the greatest amount of money I can have in my pocket? ... more>>

Chelsea's Number Puzzle - Claire Mead
Math Fundamentals, difficulty level 2. Help Chelsea solve this addition number puzzle using the numbers 1 through 9. ... more>>

The Chocolate Allergy Revelation - Antiquity (Steve Earth)
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
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
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>>

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>>

Counting Cats and Dogs - Claire Mead
Math Fundamentals, difficulty level 2. How many students in Lin's school have both a dog and a cat? ... more>>

Crack the Code - Christi Sather and Kristina Lasher
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
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
Math Fundamentals, difficulty level 3. Figure out how many cookies Dad baked for the family before they ate them all! ... more>>

Darlene's Dart Board - Claire Mead
Math Fundamentals, difficulty level 3. How many darts does it take to win on Darlene's dart board? ... more>>

Dashing Through the Snow - Claire Mead
Math Fundamentals, difficulty level 3. Use clues to determine the finishing order of the ski racers at Winter Carnival. ... more>>

Dragons and Tigers and Hares, Oh My! - Claire Mead
Math Fundamentals, difficulty level 3. Use clues about the Chinese calendar to determine when Lin's great-grandfather was born and how old he is. ... more>>

Driving Decisions - Kristina Lasher
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
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>>

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>>

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

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

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

Frog Farming - Claire Mead
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)
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
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
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>>

Homework-Free Fridays - Claire Mead
Math Fundamentals, difficulty level 2. How many different ways can Donna roll the blue and red dice to win a weekend free of homework? ... more>>

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

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

Jason's Piggy Bank - Claire Mead
Math Fundamentals, difficulty level 2. How many nickels did Jason find in his piggy bank? ... more>>

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

The Kickball Tournament - Diane Anderson's Teaching the Diverse Young Learner Class at Swarthmore College and Claire Mead
Math Fundamentals, difficulty level 1. How many players will Ms. Emery put on each kickball team? ... more>>

Let the Chips Fall . . . - Claire Mead
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
Math Fundamentals, difficulty level 1. How many candles are used during Chanukah? ... more>>

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

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

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

The Math Teacher's Ties - Brentwood College School - Math 12(1)
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
Math Fundamentals, difficulty level 4. Take a look at averages with Mr. Cal Q. Later and his class. ... more>>

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

Miracle Miranda and the Mascot - Claire Mead
Math Fundamentals, difficulty level 4. Compare salaries of the star player and the team mascot. ... 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>>

Mr. W. Goes Across Australia - Lisa Lavelle
Math Fundamentals, difficulty level 5. 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>>

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

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

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

Pizza Dough - Claire Mead
Math Fundamentals, difficulty level 2. How much water does Mario need to use to make enough pizza dough for him and his friends? ... more>>

The Place Value Game - Kristina Lasher
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
Math Fundamentals, difficulty level 3. Find all the ways Western could have scored 27 points in their rugby game. ... more>>

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>>

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. ... more>>

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

Sharing Smelt - Claire Mead
Math Fundamentals, difficulty level 3. Find out how many smelt Larry caught Saturday morning. ... 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 back-to-school shopping trip. ... more>>

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>>

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>>

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>>

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

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>>

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>>

Water Park Adventure - Leon Roland & class
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
Math Fundamentals, difficulty level 2. Determine the football (not soccer!) score. ... more>>

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

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

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