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

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Operations with Numbers
Problems in this category can be solved using a combination of basic operations (addition, subtraction, multiplication, division). Problems requiring application of approximating skills (estimation, rounding) are also included in this category.

Problems that focus more specifically on each skill in this category can also be found in the following subcategories:

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

Access to these problems requires a Membership.

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>>

A Million in Time - Lisa Lavelle
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. ... more>>

Mini-Mall Measurements - Claire Mead
Math Fundamentals, difficulty level 2. Use given measurements of the stores in the mini-mall to find the area and dimensions of other stores. ... 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>>

Movie Line Madness - Lisa Lavelle
Math Fundamentals, difficulty level 4. Determine what time it will be when Odysseus and Penelope finish taking care of their movie customers. ... 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>>

Ms. Newton's Secret - Jeanne Fitzgerald
Math Fundamentals, difficulty level 2. Can you discover the secret of Ms. Newton's age? ... more>>

Multiplication Mystery - Ya. I. Perelman (translated from Russian by Valentina Sokolskaya)
Math Fundamentals, difficulty level 3. Decipher this cryptic multiplication problem to uncover the final product. ... more>>

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

Neighborhood Watch - Lisa Lavelle
Math Fundamentals, difficulty level 3. Find out how many trips will be made around the neighborhood in this watch program. ... more>>

Nova Scotia Quilt - Claire Mead
Math Fundamentals, difficulty level 3. Use the area of a rectangular bed quilt to determine its dimensions. ... 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>>

Odds vs. Evens - Kristina Lasher
Math Fundamentals, difficulty level 3. Can Jerome and Kiya use what they know about probability to make their games fair? ... 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>>

Pauline the Plumber - Claire Mead
Math Fundamentals, difficulty level 2. Use the clues to find out how many widgets Pauline purchased. ... more>>

Peanut Butter and Jelly - Lisa Lavelle
Math Fundamentals, difficulty level 3. How many sandwiches can we make before using up a package of bread and jars of jelly and peanut butter at the same time? ... more>>

Penny Space - Lisa Lavelle
Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies. ... 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>>

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

Pondering Prescriptions - Lisa Lavelle
Math Fundamentals, difficulty level 4. Help calculate the amount of antibiotic in each dose of my prescription. ... more>>

Pooling Tips - Claire Mead
Math Fundamentals, difficulty level 2. How much should Fran and Gloria each give Ethan so that they all have an equal amount? ... more>>

Presidential Timepieces - Mary DeYoung & class
Math Fundamentals, difficulty level 4. Develop a sense of time by exploring presidential events. ... more>>

Price Tag Repair - Teaching the Young Learner Group
Math Fundamentals, difficulty level 2. Can you use the clues to help Cathy repair the price tags for the family yard sale? ... more>>

Pumpkin Pride - Claire Mead
Math Fundamentals, difficulty level 2. Find the mean average diameter of jack-o'-lanterns lined up on planks and also the number of miles the planks would cover if laid end to end. ... more>>

Pushing Pennies - Lisa Lavelle
Math Fundamentals, difficulty level 3. Estimate the number of pennies that you can fit on a sheet of paper, then evaluate your estimate. ... more>>

Puzzling Puzzle Pieces - Lisa Lavelle
Math Fundamentals, difficulty level 2. Explore the ways 108 puzzle pieces can be arranged. ... more>>

Rabbit's Run - Lisa Lavelle
Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run. ... more>>

Railroad Crossing - Lisa Lavelle
Math Fundamentals, difficulty level 3. Determine how far apart Division Junction and Logarithm Square are, based on the time Emily and Edward Engineer cross paths. ... more>>

Raisin Nut Cookies - Marsha May
Math Fundamentals, difficulty level 4. Sarah needs to convert her cookie recipe for her cousin. ... more>>

Rounding Mountains - Judy Ann Brown
Math Fundamentals, difficulty level 2. Use estimated figures to determine the maximum and minimum differences between the heights of two mountains. ... 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>>

Sacagawea Cheerios - Stephen Maurer
Math Fundamentals, difficulty level 3. Determine how many Sacagawea coins the government will give away during this Cheerios promotion. ... 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>>

She Counts Seashells * - Claire Mead
Math Fundamentals, difficulty level 2. How many shells does Marcia have in her collection? ... 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>>

Special Stars - Lisa Lavelle
Math Fundamentals, difficulty level 2. Calculate the number of pipe cleaners Leah used to create a Star of David chain. ... more>>

Splish Splash - Lisa Lavelle
Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume. ... more>>

Sports Weigh In - Claire Mead
Math Fundamentals, difficulty level 3. Use three scale readings to find the weight of the soccer ball, the tennis ball, and the baseball. ... more>>

Subway Subtotals - Kristina Lasher
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>>

Subway Tokens - Annie Fetter and Claire Mead
Math Fundamentals, difficulty level 2. How did Samantha know the subway token machine didn't behave as advertised? ... more>>

Summer at Sweet Tooth - Ross Shelter & Carrie Shankweiler
Math Fundamentals, difficulty level 2. Calculate Kate's earnings during her summer waitressing job. ... 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>>

Super Deal Salsa - Lisa Lavelle
Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk. ... more>>

Taking Tolls - Ben Lee
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>>

Tangrams - Claire Mead
Math Fundamentals, difficulty level 2. Discover some of the relationships among the pieces in a set of Tangrams. ... 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 Math of the Irish - Claire Mead
Math Fundamentals, difficulty level 3. Use the mean age of the group to find Uncle Paddy's age. ... more>>

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

Timber!!! - Lisa and Judy Gardner
Math Fundamentals, difficulty level 3. Determine the lengths of two pieces of a damaged redwood tree. ... 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>>

Toys To Go - Claire Mead
Math Fundamentals, difficulty level 2. Help Sam determine the sale price of scooters at the toy store. ... 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>>

Video Viewing - Lisa Lavelle
Math Fundamentals, difficulty level 3. Just how much television will Frank and Lisa watch? ... more>>

Volunteering at the Food Bank - Abby Martin
Math Fundamentals, difficulty level 2. Calculate the number of volunteer hours needed to keep a food bank in operation. ... more>>

Water Fun? - Lisa Lavelle
Math Fundamentals, difficulty level 3. Determine how long it would take for a 30-gallon water heater to empty. ... 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 a Move! - Lisa Lavelle
Math Fundamentals, difficulty level 3. Determine the number of hours it took the movers to move the Lavelles to their new home, as well as the number of man-hours. ... 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>>

Zelma's ZIP Code - Claire Mead
Math Fundamentals, difficulty level 3. Find Zelma's Zip Code by ordering pairs of digits that are products of one-digit numbers. ... 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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