Proportion Word Problems
Written by Adi Ackerman, Head Teacher
"Proportion Word Problems" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.RP.A.3. If your student is a year younger but already steady on ratios, the page still works. You may just need to read the instructions out loud. And if they are older and proportions never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: write and solve proportions for 4 word problems, from soup broth for 28 people to a trail map. Answer key included. Part of our proportions ratios collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with the whole number page, where every answer comes out even, then move to rounding and decimal terms. On the word problem pages, check that each student keeps the units lined up before cross multiplying.
What students will practice
- Students will write a proportion such as 3/4 = x/28 for a soup recipe and solve it.
- Students will use a trail map scale of 3 inches for 8 miles to find a real length.
- Students will solve rate problems about a train going 175 miles in 5 hours and cherries at $18 for 4 pounds.
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 6th Grade
Standard: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
View all 6.RP.A.3 worksheets →Find this in the curriculum
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FAQ
How do I use this proportions worksheet?
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Start with the whole number page, where every answer comes out even, then move to rounding and decimal terms. On the word problem pages, check that each student keeps the units lined up before cross multiplying.
What does this worksheet teach?
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Write and solve proportions for 4 word problems, from soup broth for 28 people to a trail map. The directions on the page read: Write a proportion for each problem and solve it. Show your work. An answer key is included.
Can I use this proportions worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade ratios, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with proportions. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you solve a proportion by cross multiplying?
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Multiply each numerator by the other denominator, set the products equal, then divide. For 12/10 = 6/a, 12 × a = 10 × 6 = 60, so a = 5.
What if the answer is not a whole number?
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Divide and round as the page asks. On Solve Proportions and Round to Tenths, 20/32 = x/46 gives x = 28.75, which rounds to 28.8.
How do you write a proportion for a word problem?
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Keep the same units in the same places in both ratios. A soup uses 3 cups of broth for 4 people, so 3/4 = x/28 for 28 people, and x = 21 cups.
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