Solving problems using proportional reasoning worksheet answers

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Create proportion worksheets to solve proportions or word problems (e.g. speed/distance or cost/amount problems) — available both as PDF and html files. These are most useful when students are first learning proportions in 6th, 7th, and 8th grade.

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Basic instructions for the worksheets
Ready-made worksheets
What is an example of proportional reasoning?
What is proportional in 7th grade math?

Options include using whole numbers only, numbers with a certain range, or numbers with a certain number of decimal digits.

Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet". To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

PDF format: come back to this page and push the button again.
Html format: simply refresh the worksheet page in your browser window.

Ready-made worksheets

Use these quick links to create some common types of proportion worksheets. Below, with the actual generator, you can generate worksheets to your exact specifications.

Proportion Worksheet Generator

For word problems, choose metric, US or both kinds of units to be used.
Metric units (kg, km, liter)
US customary units (lb, mile, gallon)

Range of numbers to be used for distances (miles or kilometers) in the word problems:
Min: Max:

Range of numbers to be used for weights (pounds or kilograms) in the word problems:
Min: Max:

For word problem types, check at least one box.

	A car can travel 45 miles on 2 gallons of gasoline. How far can it travel on 5.6 gallons?
	A boat can travel 45 miles on 7 gallons of gasoline. How much gasoline will it need to go 78 miles?
	A car travels 98 miles in 1.4 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
	An airplane travels 645 miles in 3 hours (with a constant speed). How much time will it take traveling 1,000 miles?
	6 lbs of potatoes cost $12.90. How much would 3.4 lbs cost?
	6 kg of potatoes cost $12.90. How many kilograms of potatoes can you get with $8?

Page orientation:
Portrait Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font: Font Size:

Cell Padding:

Border: Bordercolor:

Additional title & instructions (HTML allowed)

Real World Algebra by Edward Zaccaro

Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.

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What is an example of proportional reasoning?

Early in math learning, students use proportional reasoning when, for example, they think of an 8 as two fours or four twos rather than a whole number. Later in education, they may use proportional reasoning to think of how a speed of 50km/h is the same speed as 25km/30 min.

What is proportional in 7th grade math?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".