ISEE Middle Level Math : Numbers and Operations
Study concepts, example questions & explanations for ISEE Middle Level Math
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Example Questions
Example Question #5 : How To Find The Whole From The Part With Percentage
If sales tax on a pair of jeans is 
$62
$60
$58
$56
$66
$58
Since the jeans are the only item being purchased, and they cost $
Note: In order to find the decimal form of a percent, we divide it by 
Find the tax:
Therefore the sales tax added to the original price is $
The final cost of the jeans is $
Example Question #851 : Numbers And Operations
At a pet store, there are 12 dogs and 8 cats. The following week, the number of dogs increases by 25%, while the number of cats decreases by 25%. What is the total number of animals at the store the following week?
Assume the store only sells dogs and cats.
If the population of dogs increases by 25%, then we first find 25% of 12 (which is 3) and add the 3 to 12. This gives us 15 dogs.
If the population of cats decreases by 25%, then we find 25% of 8 (which is 2), and subtract if from 8. This gives us 6.
Now that we know the final individual numbers of dogs and cats, we can add them to find the final answer.
Example Question #852 : Numbers And Operations
Tom the baker made 
Tom made 
Given that 
Given that 
The average is calculated by adding numbers in a list together, and then dividing by the number of items in that list. This gives us:
Example Question #853 : Numbers And Operations
10 percent of a cake weights 20 ounces. The entire cake is cut into 8 pieces. How many ounces does each piece weigh?
If 10 percent of the cake weights 20 ounces, then the entire cake will weigh 200 ounces, because 10 times 20 is 200.
If the cake has 8 slices, then each slice will weigh (in ounces) 200 divided by 8. 200 divided by 8 is 25; therefore, 25 ounces is the correct answer.
Example Question #854 : Numbers And Operations
There are 12 sopranos in the Red Street Choir. If sopranos are 40% of the choir, how many total members make up the Red Street Choir?
When given a part, you can use a percentage to determine the whole by converting the percentage to a decimal and dividing the part by that number.
Example Question #855 : Numbers And Operations
If you have 
To find a part of a whole with a percentage, you multiply the whole by the percent.
To find the opposite, you divide the part by the percent so it would be 
This is equal to
Example Question #856 : Numbers And Operations
There are 8 pieces of pizza. If Justin at 25% of the pizza, how many pieces did he have?
25% is equivalent to the fraction
meaning that if Justin ate 25% of the pizza, he ate 2 of the 8 pieces.
Example Question #3 : Percentages
If 
Solve for 
Example Question #1 : How To Find The Part From The Whole With Percentage
Which is larger?
a. 10% of 90
b. 5% of 160
c. 20% of 50
d. 30% of 40
First find the percentage amount for each choice by multiplying the number by the percentage amount
a.
b.
c.
d.
Then compare the amounts to find the largest.
The answer is (d) 12.
Example Question #2 : How To Find The Part From The Whole With Percentage
A laptop computer is on sale for 40% less than the original price. If the original price is $345.00, what is the laptop's current sale price?
First, multiply the original price by the sale percentage:
Then, subtract that amount from the original price to get the sale price:
The laptop's current sale price is
All ISEE Middle Level Math Resources
