ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #161 : How To Find 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 #832 : Numbers And Operations

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 #163 : 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 #166 : 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 #167 : 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 #162 : 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: 

Example Question #21 : How To Work With Percentages

Pie_graph

Refer to the above diagram. If there were 15,934 voters who were affiliated with a political party in Smith County in 2009, how many voters (nearest whole number) were there total?

Possible Answers:

Correct answer:

Explanation:

40% of the voters were registered as independents, so 60% were registered as a member of a political party. Since 60% of the voters numbered 15,934, we can find the total number of voters by setting up and solving a proportion:

which rounds to 26,557 voters.

 

Example Question #22 : How To Work With Percentages

Pie_graph

Refer to the above graph. If there were 17,856 registered voters in Smith County in 2009, how many voters were registered as neither Republicans nor Democrats (nearest whole number)?

Possible Answers:

Correct answer:

Explanation:

2% of the voters were registered as members of other parties, and 40% were unaffiliated, so we want to calculate 42% of 17,856, or, equivalently, 

which, to the nearest whole number, rounds to 7,500 voters.

Learning Tools by Varsity Tutors