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Means and Extremes Worksheet

Explore means and extremes in proportions and their applications in various mathematical contexts.

Grade 11 Math Percents, Ratios, and RatesMeans and Extremes
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Includes

TextFill in the Blanks3 Short AnswerMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.B.4CCSS.MATH.CONTENT.HSA.REI.B.4

Topics

MathGrade 11Means and ExtremesProportionsAlgebra
10 sections · Free to use · Printable
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Means and Extremes in Proportions

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Date:

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

In a proportion a/b = c/d, the terms 'a' and 'd' are called the extremes, and the terms 'b' and 'c' are called the means. The Means-Extremes Property (or Cross-Products Property) states that in a proportion, the product of the extremes is equal to the product of the means, i.e., ad = bc.

1. In the proportion 5/8 = 15/24, the means are   and the extremes are  .

2. If a/x = y/b, then the product of the means is   and the product of the extremes is  .

3. Use the Means-Extremes Property to determine if the following ratios form a proportion: 6/9 and 10/15. Show your work.

4. Solve for x in the proportion: 4/x = 12/18.

a

x = 3

b

x = 6

c

x = 8

d

x = 9

5. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to use 5 cups of flour, how much sugar do you need? Use a proportion and the Means-Extremes Property to solve.

6. In the proportion (x+1)/5 = 6/10, the means are (x+1) and 10.

T

True

F

False

7. Find the geometric mean of 4 and 9. Explain your steps.

8. Consider the following proportion: 1/2 = 3/6. Draw two fraction bars to visually represent this proportion.

1/2
3/6

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