ISEE Middle Level Quantitative : Percentage

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

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Example Questions

Example Question #51 : Percentage

What is 0.5% of 1,000,000?

Possible Answers:

Correct answer:

Explanation:

Convert the percentage to a decimal:

Multiply by 1,000,000 to get our answer.

Example Question #51 : Percentage

What is 200% of 1,000?

Possible Answers:

Correct answer:

Explanation:

Convert the percentage to a decimal.

Multiply 1,000 by the decimal value to find the answer.

Example Question #12 : How To Find Percentage

 is positive.

Which is the greater quantity?

(A) Three multiplied by 75% of 

(B) Six multiplied by 35% of 

Possible Answers:

(B) is greater

(A) and (B) are equal

It is impossible to determine which is greater from the information given

(A) is greater

Correct answer:

(A) is greater

Explanation:

75% of  is ; three multiplied by this is 

.

 

35% of  is ; six multiplied by this is 

.

 

Since  and  is positive, , so (A) is greater regardless of the value of .

Example Question #12 : How To Find Percentage

What is the percent change from 20 to 25?

Possible Answers:

20 percent increase

25 percent increase

25 percent decrease

20 percent decrease

Correct answer:

25 percent increase

Explanation:

Given that the change between 20 and 25 is an increase in 5 from the base of 20, the first step is to calculate the fractional increase. 

Given that , there is a 25 percent increase. Thus, "25 percent increase" is the correct answer. 

Example Question #13 : How To Find Percentage

What is the percent change from 60 to 54?

Possible Answers:

10 percent decrease

10 percent increase

11 percent decrease

10 percent decrease

Correct answer:

10 percent decrease

Explanation:

The change from 60 to 54 is a decrease in 6 from the base of 60. 

Given that , there is a 10 percent decrease. Thus, "10 percent decrease" is the correct answer. 

Example Question #52 : Percentage

If 6 out of 8 dogs at a pound get adopted, what percentage of the dogs will get adopted?

Possible Answers:

Correct answer:

Explanation:

If 6 out of 8 dogs get adopted, that means that  are adopted. 

 of 100 is 75. Therefore, 75 percent of the dogs were adopted.  

Example Question #56 : Percentage

There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have green roofs?

Possible Answers:

Correct answer:

Explanation:

If there are a total of 50 houses and the total of red and black roofed houses is 35, there must be 15 green houses in this neighborhood.

To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 green roofed houses, you should divide 15 by 50.

When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.

Therefore, the answer is 30%

Example Question #15 : How To Find Percentage

There is a total of 50 houses in a neighborhood. 20 of the houses have red roofs and 15 of the houses have black roofs. The rest of the houses have green roofs. What percentage of the houses have black roofs?

Possible Answers:

Correct answer:

Explanation:

To figure out what percentage a number makes up of any larger amount, divide the part by the whole. Since there are 15 black roofed houses, you should divide 15 by 50.

When you multiply the decimal by 100, your result will be the percentage the smaller number makes up of the larger amount.

Therefore, the answer is 30%

Example Question #5 : Creating Linear Equations With Part, Percent, And Whole

A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?

Possible Answers:

Correct answer:

Explanation:

A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.

Then, multiply the result times the existing maximum capacity.

The result is your answer.

Example Question #18 : How To Find Percentage

What is 5 more than 20% of 20?

Possible Answers:

Correct answer:

Explanation:

The question asks you to find 5 more than 20% of 20. In other words, what is 20% of 20 plus 5.

First, multiply 20 times 20%. To do this, divide 20% by 100:

Multiply your result times 20:

4 is 20% of 20.

Add 5 to this number.

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