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Proportional Reasoning

This worksheet focuses on understanding and applying proportional reasoning to solve real-world problems for 6th-grade students.

Grade 6 Math Percents, Ratios, and RatesProportional Reasoning
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Standards

CCSS.MATH.CONTENT.6.RP.A.1CCSS.MATH.CONTENT.6.RP.A.3

Topics

mathgrade 6proportionsratiosrates
6 sections · Free to use · Printable
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Proportional Reasoning

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Read each question carefully and use your knowledge of proportional reasoning to answer. Show all your work.

1. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 6 cups of flour, how much sugar do you need?

a

4 cups

b

6 cups

c

9 cups

d

12 cups

2. A car travels 150 miles in 3 hours. At this rate, how far will it travel in 5 hours?

a

200 miles

b

250 miles

c

300 miles

d

350 miles

3. If 5 apples cost $2.50, then 1 apple costs $ .

4. A ratio of 3:4 can also be written as the fraction  .

5. A cleaner uses a solution that is 1 part bleach to 10 parts water. If they use 2 liters of bleach, how much water should they use?

6. On a map, 1 inch represents 20 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?

7. The diagram below shows a balance scale. If 3 squares balance 6 circles, how many circles would balance 5 squares?

Balance Scale