Math Forum - Problems Library - Pre-Algebra, Operations with Numbers

_____________________________________
diamond Library of Math Forum Problems

Primary Math Fundamentals Pre-Algebra
Algebra Geometry Discrete Math Trig/Calculus
_____________________________________
(membership required) || Become a Member || Learn about Membership
_____________________________________

TOPICS
space

This page:
checkmarkoperations with numbers
  estimation
  order of operations

About Levels
of Difficulty

Pre-Algebra
operations with numbers
number sense
number theory
fractions, decimals,
percentages
integers
algebra
ratio & proportion
geometry in the plane
geometry in space
measurement
statistics
probability
logic & set theory
discrete math

Browse all
Pre-Algebra
Problems

Pre-Algebra
Home

About the
PoW Library

Operations with Numbers
Problems in this category can be solved using basic operations (addition, subtraction, multiplication, division, exponentiation), applying estimation skills, applying the order of operations, or using the properties of numbers (identity, associative, multiplicative, distributive). They should be suitable for the beginning pre-algebra student.

Some of these problems are also in the following subcategories:

Related Resources
Interactive resources from our Math Tools project:
   Math 7: Operations with Numbers
The closest match in our Ask Dr. Math archives:
   Middle School Arithmetic
NCTM Standards:
   Number and Operations Standard for Grades 6-8

Access to these problems requires a Membership.

Accuracy Please - Judy Ann Brown
Pre-Algebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone. ... more>>

Anh's Code - Annie Fetter
Pre-Algebra, difficulty level 2. Decode the five mathematical operations symbolized in three equations, then evaluate an expression. ... more>>

Back-to-School Shopping - Judy Ann Brown
Math Fundamentals, difficulty level 2. Mrs. Bender noticed that the total of the items her children purchased was $155. Can you determine the cost of one pair of jeans? ... more>>

Baseball Attendance Figures - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the difference between the greatest possible number of people at the stadium and the least possible number of paid admissions to the game. ... more>>

Building a Snow Statue - Judy Ann Brown
Pre-Algebra, difficulty level 3. Determine the height of a snow statue using the given information. ... more>>

Buying Cola - Leon Roland & class
Pre-Algebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy? ... more>>

Calculator Key-In - Terry Trotter
Pre-Algebra, difficulty level 1. Why do the two calculators give different answers to the problem? ... more>>

Citius, Altius, Fortius - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Would record-holding speed skaters and runners break the speed limit in a residential zone? ... more>>

Coding Conundrums - Mary DeYoung & class
Pre-Algebra, difficulty level 2. Explore encoding and decoding in this cipher puzzle. ... more>>

Commuting Conundrum - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Help Suzanne and Richard decide which train tickets will give them the most value for their dollar. ... more>>

The Complex Apartment Complex - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the number of apartments in a new building if each floor has twice as many apartments as the floor above. ... more>>

Dishwasher Discounts - Pat Hagan
Pre-Algebra, difficulty level 2. Purchasing a new dishwasher can involve a lot of math. Help find the best deal. ... more>>

Divisible by a Dozen - Terry Trotter & Annie Fetter
Pre-Algebra, difficulty level 3. If you take any three consecutive integers, multiply the first times the square of the second, then multiply by the third, is 12 a factor of the product? ... more>>

Downhill All the Way - Judy Ann Brown
Pre-Algebra, difficulty level 2. Starting at 10,000 feet above sea level, descending a 6% grade followed by a 4% grade will put a car how many feet above sea level? ... more>>

Do you listen to WMTH or WALG? - Judy Ann Brown
Pre-Algebra, difficulty level 4. Each week listeners switch radio stations. Predict the long-term distribution of listeners for each station. ... more>>

Fall Festival Frolic - Judy Ann Brown
Pre-Algebra, difficulty level 3. How many different types of candy are needed to make at least 50 different treat bags? ... more>>

Falling into Sequences - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the 20th term in a sequence using both a recursive method and an explicit formula. ... more>>

Frequent Flier Figuring - Judy Ann Brown
Math Fundamentals, difficulty level 2. Use Web resources to help plan the shortest route from Allentown, Pennsylvania, to New Orleans, Louisiana. ... more>>

The Good Samaritan - Piedmont High School 2nd- and 7th-period Geometry Classes
Pre-Algebra, difficulty level 4. Can the butler afford the paint needed to repair the sign? Did the butler do it? ... more>>

Guess My Number If You Can! - Judy Ann Brown
Pre-Algebra, difficulty level 4. Use division clues to reveal the secret number. ... more>>

Happy New Year! - Judy Ann Brown
Pre-Algebra, difficulty level 4. A puzzle for the new year: how is the grid designed? ... more>>

Homerun Percentages - Judy Ann Brown
Pre-Algebra, difficulty level 3. Baseball box scores give us a chance to practice percent skills. ... more>>

I Get A Kick Out Of Soccer! - Judy Ann Brown
Math Fundamentals, difficulty level 3. How many laps of the soccer field would a team member need to complete to run more than a mile? ... more>>

Inching Along Down the Football Field - Terrel Trotter
Math Fundamentals, difficulty level 3. Fred put his football down on a goal line of the 100-yard field. He then moved it forward half the field distance, over and over again. When did the distance first become less than one inch? ... more>>

An Interesting Integer - Judy Ann Brown
Pre-Algebra, difficulty level 2. I'm thinking of a particular integer. It is a multiple of three, five, and seven. No digit occurs more than once. Can you find my number? ... more>>

January Sales - Judy Ann Brown
Pre-Algebra, difficulty level 2. Mathematicians, put away your calculators and help Lynne estimate the cost of a set of golf clubs. ... more>>

Kate's Combination - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find Kate's locker combination using mathematical clues. Is there more than one possibility? ... more>>

Lost in Des Moines - Judy Ann Brown
Pre-Algebra, difficulty level 2. Calculate the speed of a car using given information. ... more>>

The Magic of Number 6174 - Suzanne Alejandre
Pre-Algebra, difficulty level 4. Have fun exploring this number magic. ... more>>

Math Club Lollipop Profits - Judy Ann Brown
Math Fundamentals, difficulty level 3. The Math Club plans to sell lollipops. Help them to calculate their profit. ... more>>

The Name Game - Judy Ann Brown
Pre-Algebra, difficulty level 3. The first student says his/her own name; the second student repeats the first student's name and adds his/her own name... How many names are said if the numbers of students in my math classes on the first day are 27, 28, 32, 31, and 30? ... more>>

Office Tile Choice - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the total cost of purchasing tiles for my office. ... more>>

Olympic Temperature - Judy Ann Brown
Pre-Algebra, difficulty level 3. Compare the difference in temperatures between Sydney, Australia at 14 degrees Celsius and Swarthmore, Pennsylvania, U.S.A. at 63 degrees Fahrenheit. ... more>>

Open and Shut Case - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the locker combination using mathematical clues. ... more>>

Operating Diagonally - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Think about the effect of multiplication and addition on the numbers in the hundreds chart. ... more>>

The Oracle's Oration - Annie Fetter
Pre-Algebra, difficulty level 3. Explain how payment should be distributed based on the number of rolls two people shared with the group of three. ... more>>

Organization of Data - Judy Ann Brown
Pre-Algebra, difficulty level 2. Use the information on the graph to find the range, mean, median, and mode of the data. ... more>>

Partial Area - Judy Ann Brown
Pre-Algebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square. ... more>>

Pi Day Treats - Judy Ann Brown
Pre-Algebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration. ... more>>

Ready for Football? - Terry Trotter & Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find the final score of the game between the Eagles and the Dragons. ... 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>>

Runsums, Part 1 - Ron Knott
Pre-Algebra, difficulty level 3. By spotting the pattern, tell me the smallest number that is a sum of a run of one hundred consecutive numbers. ... more>>

Runsums, Part 2 - Ron Knott
Pre-Algebra, difficulty level 3. Explore number patterns and report on what you have learned. ... more>>

Sailing Around the World - Leon Roland & class
Pre-Algebra, difficulty level 2. Determine the amounts of the supplies that Giuseppi Linguini will need to sail around the world. ... more>>

Scientific Sums - Judy Ann Brown
Pre-Algebra, difficulty level 2. Find the sum of a set of numbers written in scientific notation. ... more>>

The Silver Mile - Judy Ann Brown
Pre-Algebra, difficulty level 3. Determine the total value of the coins in a silver mile. ... 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>>

Snow Day Phone Chain - Judy Ann Brown
Pre-Algebra, difficulty level 4. Use the given information to find out how many phone calls were made. ... more>>

A Surfer's Tessellation - Mr. Marthinsen's First Period Class
Pre-Algebra, difficulty level 2. Shane is re-tiling his surf shack. How many of each kind of tile will he need, and what does a big tile cost? ... more>>

Three-dimensional Television - Mr. Marthinsen's Geometry Class
Pre-Algebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook. ... more>>

Time Is Power - Terry Trotter
Pre-Algebra, difficulty level 2. During which hour of the day am I most likely to see a square number on my computer time display? How many times total during the day does this happen? ... more>>

Treasure Hunt Math - Judy Ann Brown
Pre-Algebra, difficulty level 3. Use clues to find the mystery palindrome. ... more>>

Valley Springs Snow Cream - Kelly Crisp
Pre-Algebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream. ... more>>

Page:  1


[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2012 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.