Percents Review 1

Percent Proportions

Review

Kennedy Math 6th Grade

​Percents in "Real Life"

• interest on a loan

• Taxes

• Tips

• Sales

• Grades!

• Food Labels

• Gasoline (percent grade)

• and more...

Multiple Choice

"Per cent" means "For each 100."

All percents are out of what number?

• 1

• 10

• 100

• 1000

Multiple Choice

What percent of this grid is red?

• 100%

• 17%

• 20%

• 4%

• 52%

Multiple Choice

What percent of this grid is pink?

(Hint: None of it is pink.)

• 100%

• 17%

• 0%

• 12%

• 52%

Fill in the Blanks

What percent of this grid is not red (Hint: 100%-4%)?

Fill in the Blanks

What percent of this grid is red or orange?

(Hint: Add the reds and oranges and write it as a percent.)

Fill in the Blanks

What percent of this grid is red, orange, yellow, green, or blue?

(Hint: Add those colors and write it as a percent.)

​Solving percent questions:

​Since fractions can be written out of 100, we can use them in a proportion (two equivalent fractions) to find a missing value.

​part

​whole

​percent

​100

​=

Percent Proportion

​

Solving Percent Proportions

• Percent - a ratio out of 100

• Proportion - an equation stating two ratios are equal

• Part - a portion of a quantity

• Whole - entire amount

Match

Match the following:

• Percent

• Proportion

• Part

• Whole

• Quantity

An amount per hundred

A ratio stating two quantities are equal

A portion of a quantity

The entire quantity

An amount or number of something

• An amount per hundred

• A ratio stating two quantities are equal

• A portion of a quantity

• The entire quantity

• An amount or number of something

How do I make my percent proportion?

• Identify if the given quantity is a PART or a WHOLE amount

• % is always out of 100, so this means " % / 100% "

1. Cross Multiple & Divide

   1. Write the percent proportion.

   2. Multiply diagonally and set the two amounts equal to each other.

   3. Solve for the missing x.

​One Way to Solve

​

19 is what % of 70?​

Example 1:

Example 2:

​75% of 600 is what number?

​This is how to set up percent proportions for given values.

When given a percent word problem look for Key Words to determine what you are given and what is missing:

Part = 15 Percent = 25

Whole = 60​

Percent Key Words​

​

​15 is 25% of 60.

A helpful tip...

Percentages will have this symbol "%" & always have 100% in the denominator

If a quantity is a PART look for the word "is"

If a quantity is a WHOLE look for the word "of"

What number is missing?

Part, Total, Percent?

Multiple Choice

Determine if you are finding the part, percent, or whole:

18 is what percent of 36?

• Part

• Percent

• Whole

Multiple Choice

Determine if you are finding the part, percent, or whole:

What is 20% of 60?

• Part

• Percent

• Whole

Multiple Choice

Determine if you are finding the part, percent, or whole:

12 is 50% of what number?

• Part

• Percent

• Whole

Fill in the Blanks

Percents are written like this 49%. But can be written as a fraction with the number

in the denominator.

Multiple Choice

Nyla took a math test and got 12 correct and 3 incorrect answers.

Which proportion shows how you could find the percent of wrong answers?

(Hint: 12 correct and 3 incorrect answers makes 15 total.)

Multiple Choice

There are 9 students in a classroom that play football, this is 37.5% of the class. How many students are in the class?

Set up a proportion to help you solve this problem.

Multiple Choice

Which of these is set up correctly for "What is 6% of 90"?

Multiple Choice

Which of these is set up correctly for "What percent of 55 is 80"?

Multiple Choice

Which of these is set up correctly for "30 is what percent of 600"?

Multiple Choice

Which of these proportional equations would you use to find the missing pieces of a percent problem, using the words "Part and Whole"?

Multiple Choice

Pacino worked 8 hours out of the day.

Which proportion could you use to find the percent of the day he was working?

(Hint: There are 24 hours in a day.)

Multiple Choice

Which of these is set up correctly for "Find 40% of the number 85"?

Multiple Choice

60% of toys at a toy store require batteries. If there are 42 toys that require batteries, then how many toys are there altogether?

(Hint: 60/100 = 42/whole)

so 6/10 = 42/whole

What number times 6 = 42?

7

So multiply the 10 by 7 too.

• 40%

• 70

• 60

• 72

Multiple Choice

A restaurant has a sign by the door that says "Maximum occupancy: 75 people." What percent of its capacity is 9 people?

• 9%

• 75%

• 12%

• 21%

Multiple Choice

A 20 ounce drink contains 80% fruit juice. How many ounces of fruit juice are in the drink?

• 16 ounces

• 8 ounces

• 14 ounces

• 8.2 ounces

Multiple Choice

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?

(Hint: You may want to divide both numbers by the common factor of 25 to make the fraction smaller and easier.)

• 10%

• 20%

• 80%

• 90%

Multiple Choice

Valerie answered 28 problems on her test correctly. If Valerie correctly answered 80% of the problems on the test, then how many problems were on the test?

• 22 problems

• 25 problems

• 35 problems

• 36 problems

Multiple Choice

At a construction job, there are 15 painters. Of the painters, 40% of them are working on the inside. How many painters are working inside of the building?

What part of the percent proportion are you missing?

• Part

• Whole

• Percent

Multiple Choice

A baseball team played 30 games throughout their entire season. They won 24 of them. What percentage did they win?

What part of the percent proportion are you missing?

• Part

• Whole

• Percent

Multiple Choice

There are 40 students in a class and 30% of these students passed their history test. What number of these students passed the test?

What part of the percent proportion are you missing?

• Percent

• Part

• Whole

How do you solve for a percent?

• Write out your % Proportion: part/whole = % / 100%

• Scale up or down as necessary

Multiple Choice

Greg took a test.  Out of 12 questions, he answered only nine correctly.  What percent of the questions did he score correctly?

• 75%
• 50%
• 80%
• 85%

Multiple Choice

What is 9% of 200?

• 100
• 18
• 20

Multiple Choice

Sally got 22 questions wrong on her quiz that had 40 questions on it. What is the percentage of the questions she got wrong?

• 45%
• 55%
• 32%
• 95%

Multiple Choice

What is 30% of 80?

• 30
• 24
• 2.4
• 56

Multiple Choice

The chart shows the favorite subjects of students at Edrick Coronel Jr. High. What percent of students prefer history?

• 26%

• 15%

• 16%

• 24%

• 36%

Multiple Choice

The chart shows the favorite subjects of students at Solo Chavez Middle School. What percent of students prefer Mathematics?

(Hint: 100% - all the other subjects)

• 26%

• 15%

• 16%

• 24%

• 36%

What Percent is It?

Equivalent Fraction Method

Fill in the Blanks

Hint: You can get it out of 100 instead of 200 if you divide both numbers in half.

So find half of 30 and write it as a percent.

Fill in the Blanks

Hint: The easiest way to do this is to turn 20 into 100. Then do what you did to the 20 to the 11 as well and write it as a percent.

What Percent is It?

Using Proportions to Find Percent

Multiple Choice

Percents are always out of ...

• 1

• 100

• thin air

• this world

Poll

How do you feel about finding percents?

• I don't understand what a percent is.

• I am getting there, with more practice.

• I am in a good spot.

• I am an expert.