Determining Percent Using Benchmark

Unit 6 Study Guide

​Test Tuesday 11/23

Multiple Choice

What percent of the rectangle is shaded?

• 25%

• 50%

• 90%

• 75%

​3/4 of the rectangle is shaded.

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​To turn a fraction into a percent we must first make it a decimal by dividing the numerator by the denominator.

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​3 divided by 4 = .75

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​to turn .75 into a percent we move the decimal 2 places to the right.

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​Final answer 75% of the rectangle is shaded

Multiple Choice

What percent of the circle is shaded?

• 25%

• 50%

• 75%

• 90%

Multiple Choice

David drove 72 miles. This is 70% of his entire trip. What is te total number of miles in Paul's trip?

• 4,320 miles

• 120 miles

• 43.2 miles

• 5,040 miles

​Is/part = 72

​Of/Whole = Unknown

​Percent = 60

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​Cross multiply.

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​100 x 72 = 60 x UNKNOWN

​7200 = 60 x UNKNOWN

​Divide both sides by 60 to get the variable by itself.

​There are 3 feet in 1 yard.

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​​1 yard = 3ft

​​1 yard = 3ft

​​1 yard = 3ft

​​1 yard = 3ft

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​4 yards = 12 ft.

Multiple Choice

Rewrite the percent as a fraction. 54%

• .54

• 54/100

• 27/50

• 21/50

​Change 54% to a decimal by moving the decimal 2 places to the left. .54

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​To write the decimal as a fraction write it how you say it. 54 hundredths

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​54/100

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This is not simplest form.

​54 and 100 both have a common factor of 2.

​Divide the numerator and denominator by 2 to get a final answer of 27/50.

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Multiple Choice

25% of 64 is what?

• 4

• 16

• 8

• 6

​IS/Part = UNKNOWN

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​OF/Whole = 64

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​Percent = 25

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​Cross multiply.

​Divide both sides of the equal sign by the number being multiplied to the variable/UNKNOWN.

​Be sure to include the % in your answer!

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​Is = 18

​Of = 72

​% = UNKNOWN

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​Cross multiple.

​Divide both sides of the = by the number being multiplied to the variable.

​Word problem! USE CUBES. Make sure you answer the correct question and include a LABEL.

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​Is = UNKNOWN

​Of = 48 total apples

​% = 25

​

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​​Cross multiply.

​Divide both sides of the equal sign by the number being multiplied to the variable/UNKNOWN.

Multiple Choice

Gabe drank 45% of a 600 ml container of water. Karson drank 65% of a 400 ml container of water. Who drank more water?

(This is a 2 part question! You must figure out how much water each drank before determining who drank more.

• Gabe drank more water

• Karson drank more water

• Gabe

• Karson

Fill in the Blanks

Multiple Choice

You answer 85% of the questions correctly on a 60-question test.         How many questions do you answer correctly?

• 51

• 7 questions answered correctly

• 51 questions answered correctly

• 70.59 questions answeered correctly

​IS/part = UNKNOWN

​OF/whole = 60

​%= 85

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​Set it up!

​Cross multiply.

​Divide both sides of the = by the number being multiplied to the variable.

Fill in the Blanks

Multiple Choice

Josiah rode his bike 5.5 miles. How many total feet did he ride?

• 29,040 miles

• 5,280 feet

• 29,040 feet

• 32,984 feet

Multiple Choice

Kirk rode his bike 8 miles. How many total feet did he ride?

• 57,392 feet

• 42,240 feet

• 12,300 feet

• 42,240 miles