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

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

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Example Questions

Example Question #851 : 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?

Possible Answers:

 ounces

 ounces

 ounces

 ounces

Correct answer:

 ounces

Explanation:

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 #852 : 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?

Possible Answers:

Correct answer:

Explanation:

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  of a quiz completed after  questions, how long is the quiz?

Possible Answers:

Correct answer:

Explanation:

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 

 or .

Example Question #13 : How To Find The Whole From The Part With Percentage

There are 8 pieces of pizza. If Justin at 25% of the pizza, how many pieces did he have?

Possible Answers:

Correct answer:

Explanation:

25% is equivalent to the fraction

 and can then be reduced to 

 which is equivalent to 

,

meaning that if Justin ate 25% of the pizza, he ate 2 of the 8 pieces.

Example Question #4 : Percentages

 is  of what number?

Possible Answers:

Correct answer:

Explanation:

If  is  of a number, , then we can set up an equation. First, we convert to a decimal, . Then, we can formulate the equation below.

Solve for by dividing both sides of the equation by .

Example Question #853 : Numbers And Operations

Which is larger?

a. 10% of 90

b. 5% of 160

c. 20% of 50

d. 30% of 40

Possible Answers:

Correct answer:

Explanation:

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 #71 : Arithmetic

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?

 

 

Possible Answers:

Correct answer:

Explanation:

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 

Example Question #72 : Arithmetic

Helen wants to buy a dress for a party. It is on sale for 37% off. How much does the dress currently costs, if its original price was $45.00?

 

 

Possible Answers:

Correct answer:

Explanation:

First, multiply 45 by 0.37:

Then, subtract that amount from 45.00 to find the sale price:

Answer: The dress' sale price is $28.35.

Example Question #1 : How To Find The Part From The Whole With Percentage

A restaurant is having a sale and lowering their prices by 20%. If an average meal for two normally costs $62.00, what will it costs under the current sale?

Possible Answers:

Correct answer:

Explanation:

Multiply:

Then, subtract that amount from the original price:

Answer: $49.60

Example Question #863 : Numbers And Operations

Candy bought a sweater and a beanie on sale for 20% off. If the sweater cost $ and the beanie cost $, how much did Candy spend?

Possible Answers:

$

$

$

$

$

Correct answer:

$

Explanation:

In order to find how much money Candy spent, we must first figure out the cost of the merchandise before the discount.  We do this by adding the prices together. 

Next we must find 20% of $57.00.

Since 20% is the percentage Candy saved, we must subtract $11.40 from the original price.

So Candy spent $45.60. 

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