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Proportional Reasoning Worksheet

This worksheet focuses on proportional reasoning, including ratios, rates, and scale factors, suitable for Grade 9 math students.

Grade 9 Math Percents, Ratios, and RatesProportional Reasoning
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.7.RP.A.2CCSS.MATH.CONTENT.7.RP.A.3

Topics

Proportional ReasoningRatiosRatesScale FactorGrade 9 Math
7 sections · Free to use · Printable
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Proportional Reasoning

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

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 240 miles in 4 hours. At this rate, how far will it travel in 7 hours?

a

360 miles

b

420 miles

c

480 miles

d

560 miles

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

4. A map has a scale of 1 cm : 5 km. If two cities are 10 cm apart on the map, they are   km apart in real life.

012345

5. On the number line above, the ratio of the distance from 0 to 2, to the distance from 2 to 5, is  .

6. A photograph is 4 inches wide and 6 inches long. If you enlarge it so the width is 10 inches, what will be the new length?

7. Sarah earns $120 for 8 hours of work. How much will she earn if she works 15 hours at the same rate?

8. If two ratios are equivalent, they form a proportion.

T

True

F

False

9. A unit rate always has a denominator of 1.

T

True

F

False

Match each term on the left with its definition on the right.

10. Ratio

 

a. An equation stating that two ratios are equal

11. Rate

 

b. A comparison of two quantities by division

12. Proportion

 

c. A ratio that compares two different kinds of quantities

13. Unit Rate

 

d. A rate with a denominator of 1