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ISEE Middle Level Math : How to find the part from the whole with percentage

Study concepts, example questions & explanations for ISEE Middle Level Math

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : How To Find The Part From The Whole With Percentage

Solve for .

$\small 9\ is\ x\%\ of\ 30.$

Possible Answers:

$\small x=3$

$\small x=30$

$\small x=21$

$\small x=2.1$

Correct answer:

$\small x=30$

Explanation:

Use a proportion to solve the problem.

$\small \frac{9}{30}=\frac{x}{100}$

Cross multiply

$\small 30x=900$

$\small \frac{30x}{30}=\frac{900}{30}$

$\small x=30$

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Example Question #17 : Percentages

To get on the ballot for student body president, a student must turn in a petition with the signatures of 4% of the students. If there are 3,268 students, how many signatures must a student get to be on that ballot? (Round to the nearest whole person.)

Possible Answers:

1,307

121

131

817

Correct answer:

131

Explanation:

4% of 3,268 can be calculated by multiplying 3,268 by 0.04, the decimal equivalent of 4%:

$3,268 \times 0.04 = ?$

Multiply 3,268 by 4, then move the decimal point two places to the right:

$3,268 \times 4 =13,072$ ,

$3,268 \times 0.04 = 130.72$

Rounded to the nearest whole number - 131 signatures.

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Example Question #22 : How To Find The Part From The Whole With Percentage

Sally painted 11 pictures on Monday, 7 pictures on Wednesday, and 3 pictures on Friday. On average, how many pictures did Sally paint on those 3 days?

Possible Answers:

Correct answer:

Explanation:

To solve, first find the total number of pictures painted:

$\small 11 + 7+ 3= 21$

Then, divide the total number of pictures by the total number of days to find the average.

$\small \small 21\div 3= 7$

Sally painted an average of 7 pictures per day.

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Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

200 percent of what number is equal to the difference between 75 and 25?

Possible Answers:

$\small 30$

$\small 50$

$\small 20$

$\small 200$

$\small 25$

Correct answer:

$\small 25$

Explanation:

We must first start by finding the difference between $\small 75$ and $\small 25$ :

$\small 75-25 = 50$

Next find the decimal equivalent of $\small 200$ %, which is done by dividing by $\small 100$ :

$\small 200/100 = 2$

Now we divide $\small 50$ by $\small 2$ .

$\small 50/2 = 25$

Our final answer is $\small 25$ , because when it is multiplied by $\small 200$ %, it equals the difference between $\small 75$ and $\small 25$ .

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Example Question #23 : How To Find The Part From The Whole With Percentage

Solve:

$\small 17\% \ of\ 29=$

Possible Answers:

$\small 33.93$

$\small 4.93$

$\small 170.59$

$\small 24.07$

Correct answer:

$\small 4.93$

Explanation:

$\small 17\%\ of\ 29=0.17\times29=4.93$

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Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a game if it is % off the original price of $\$35.00$ ?

Possible Answers:

$\$34.65$

$\$22.75$

$\$35.00$

$\$27.00$

$\$22.00$

Correct answer:

$\$22.75$

Explanation:

First, multiply:

$35\ast .35=12.25$

Then subtract that amount from the original price:

35.00-12.25=22.75

Answer: The sale price is $\$22.75$ .

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Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a carton of milk if it is % off the original price of $\$3.20$ ?

Possible Answers:

$\$1.20$

$\$3.00$

$\$2.30$

$\$2.88$

$\$1.00$

Correct answer:

$\$2.88$

Explanation:

First, multiply:

$3.20\ast .10=.32$

Then subtract that amount from the original price:

3.20-.32=2.88

Answer: The sale price is $\$2.88$ .

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Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a pair of shoes if it is % off the original price of $\$90.00$ ?

Possible Answers:

$\$32.00$

$\$50.00$

$\$62.50$

$\$49.50$

$\$60.00$

Correct answer:

$\$49.50$

Explanation:

First, multiply:

$90.00\ast .45=40.50$

Then subtract that amount from the original price:

90.00-40.50=49.50

Answer: The sale price is $\$49.50$ .

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Example Question #24 : How To Find The Part From The Whole With Percentage

Find the equivalent of %.

Possible Answers:

6.2

Correct answer:

Explanation:

Divide:

$62\div 100=.62$

Answer:

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Example Question #25 : How To Find The Part From The Whole With Percentage

Find the equivalent of %.

Possible Answers:

4.4

Correct answer:

Explanation:

Divide:

$44\div 100=.44$

Answer:

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : How to find the part from the whole with percentage

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #21 : How To Find The Part From The Whole With Percentage

Example Question #17 : Percentages

Example Question #22 : How To Find The Part From The Whole With Percentage

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #23 : How To Find The Part From The Whole With Percentage

Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #24 : How To Find The Part From The Whole With Percentage

Example Question #25 : How To Find The Part From The Whole With Percentage

All ISEE Middle Level Math Resources

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