ISEE Middle Level Math : How to find percentage

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

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Example Questions

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Example Question #161 : Percentage

A plane ticket is on sale for 25% its original price of $300.00. What is the sale price of the plane ticket?

Possible Answers:

Correct answer:

Explanation:

First, multiply: 

Then, subtract that amount from the original price:

Answer: The plane ticket is on sale for

Example Question #162 : Percentage

A large box contains some balls, each of which is marked with a number; one ball is marked with a "1", two balls are marked with a "2". and so forth up to ten balls with a "10". 

What percent of the balls are marked with an even number? Give the closest answer.

Possible Answers:

Correct answer:

Explanation:

The number of balls in the box, in total, will be

 balls,

of which 

 

are even.

This is

This makes 55% the correct choice.

Example Question #163 : Percentage

Assorted 1

What percent of the above figures are triangles?

Possible Answers:

Correct answer:

Explanation:

Of the fifteen figures, three are triangles - that is,  of the figures are triangles. This is 

of the figures.

 

Example Question #164 : Percentage

Assorted 1

What percent of the above figures have been shaded in?

Possible Answers:

Correct answer:

Explanation:

Of the fifteen figures, seven have been shaded in -  of the figures, or

, so this is .

Example Question #165 : Percentage

Para

The above parallelogram has been divided into triangles of equal size. What percent of the parallelogram has been shaded in?

Possible Answers:

Correct answer:

Explanation:

18 of 24 triangles have been shaded in; this is  of the parallelogram, which is equal to

of the parallelogram.

Example Question #166 : Percentage

 is 25% of .

 is 125% of .

 is what percent of ?

Possible Answers:

Correct answer:

Explanation:

Assume ; this reasoning is independent of the actual value.

 is 25% of , or, equivalently, .

 is 125% of , or, equivalently, .

 

To determine what percent  is of , evaluate:

Example Question #167 : Percentage

 is 30% of .

 is   of .

 is what percent of ?

Possible Answers:

Correct answer:

Explanation:

30% of a number is equal to  of that number.

Therefore,

, and

 

 of a number is equal to  of the number, so 

 

To determine what percent  is of , evaluate:

Example Question #168 : Percentage

 is  of 

 is  of .

 is what percent of  ?

Possible Answers:

Correct answer:

Explanation:

This reasoning is independent of the value of , so for simplicity's sake, we will assume that ; the reason for this selection will be apparent later.

 is  of , or

 of ; this is 

Similarly, 

 is  of , or

 of ; this is 

.

To determine what percent  is of , evaluate:

Example Question #169 : Percentage

A sweater that usually costs  is on sale for  off. How much does the sweater cost during the sale?

Possible Answers:

None of these

Correct answer:

Explanation:

To find the discounted amount, convert the percent to a decimal and multiply it by the original cost.

Then, subtract the discount amount from the original cost.

Answer: 

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