Math Forum - Problems Library - Pre-Algebra, Ratio and Proportion: Scale Factor

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


This page:
 ratio and proportion
 checkmarkscale factor

About Levels
of Difficulty

operations with numbers
number sense
number theory
fractions, decimals,
ratio & proportion
geometry in the plane
geometry in space
logic & set theory
discrete math

Browse all


About the
PoW Library

Scale Factor
Shrinking and expanding figures to maintain the original proportions of the shape involves understanding how to scale a figure. Besides considering how a scale factor changes the linear dimensions, these problems may also address how the perimeter or area are affected.

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

Access to these problems requires a Membership.

Designing Doorways for Rich and Riz - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Find the height for a doorway for Riz that gives him a proportional amount of room as Rich has in the pictured doorway. ... more>>

How Wide Is My Garden? - Judy Ann Brown
Pre-Algebra, difficulty level 3. A scale drawing is used to determine the width and area of a garden. ... more>>

Lee's Lawn Chair - Lee & Suzanne Alejandre
Pre-Algebra, difficulty level 3. Using the measurements given in the problem, determine the scale factor used to create the larger chair. ... more>>

Photo Wall - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Find the dimensions of the large poster. ... more>>

Sizing Up Sequoias - Suzanne Alejandre
Pre-Algebra, difficulty level 2. Compared to a given seed weight, find out how much an average mature sequoia weighs. ... more>>

Tiling Triangles - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it. ... more>>

Page:  1

[Privacy Policy] [Terms of Use]

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

© 1994- The Math Forum at NCTM. All rights reserved.