ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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Example Questions

Example Question #14 : How To Find The Whole From The Part

If there are 4 servings in an ice cream container, and each serving is equal to 2 ounces, how many ounces are in the entire container?

Possible Answers:

Correct answer:

Explanation:

If an ice cream container has 4 servings and each serving is equal to 2 ounces, the total number of ounces in the container can be found by multiplying 2 by 4.

This results in 8 ounces. 

Example Question #15 : How To Find The Whole From The Part

If one-third of a pie is equal to 2 slices, how many slices are in the entire pie?

Possible Answers:

Correct answer:

Explanation:

We know that one-third of the pie is 2 slices. We can set up an equation:

In other words, one-third times the total slices in the pie will be equal to 2 slices.

Multiply both sides of the equation by 3.

The fraction on the left side cancels.

There are a total of 6 slices in the pie.

Example Question #102 : Numbers And Operations

If Gina makes a batch of cookies for her class. The class eats  of the cookies, and so  remain. How many cookies were in the entire batch?

Possible Answers:

Correct answer:

Explanation:

If the class eats  of the cookies and  remain, this means that . Therefore,  of the batch will be equal to  cookies, as  is twice the value of , and  is twice the value of

The entire batch of cookies will be equal to .

Thus,  is the correct answer. 

Example Question #16 : How To Find The Whole From The Part

If Andrew has coins in his wallet that add up to  cents, which of the following is a possible combination of coins that he may have?

Possible Answers:

 quarter,  dimes,  nickels, and  pennies

 quarter,  dimes,  nickels, and  penny

 quarters,  dimes,  nickels, and  pennies

 quarter,  dimes,  nickels, and  pennies

Correct answer:

 quarter,  dimes,  nickels, and  pennies

Explanation:

The first step is to convert the coins into their values in cents. 

If we look at the combination of  quarter,  dimes,  nickels, and  pennies, the following expression can be used to determine the coins' value in cents:

Therefore, the correct answer is  quarter,  dimes,  nickels, and  pennies.

As for the incorrect answers,  quarter,  dimes,  nickels, and  penny adds up to  cents;  quarters,  dimes,  nickels, and  pennies adds up to  cents; and  quarter,  dimes,  nickels, and  pennies adds up to  cents.

Example Question #11 : How To Find The Whole From The Part

If Lisa buys a pair of shoes for , but the sales tax is , what is the total cost of her shoes in dollars?

Possible Answers:

Correct answer:

Explanation:

If the sales tax is , then this means that for every purchase of , an  tax will be charged. 

Given that the shoes are  (half of ), half the sales tax of  should be charged, which is a value of

Since , the shoes will cost  after sales tax. 

Example Question #21 : How To Find The Whole From The Part

If Anita bought a pair of boots for  that was on sale for  off, but was taxed  on the full price, what was the total cost of the boots (in dollars)?

Possible Answers:

Correct answer:

Explanation:

If Anita bought a pair of boots for  that was on sale for  off, this means she would get  off. But if she was taxed at  on the full price, this would be equal to 

Therefore, the total she would have to pay would be equal to , because .

Example Question #104 : Numbers And Operations

Arnold tutors students in math. For every hour-long tutoring session he gives, he must do half an hour of prep work. He is paid  per session. 

If Arnold makes  from his tutoring sessions, how many hours must he have spent tutoring and prepping for his sessions?

Possible Answers:

Correct answer:

Explanation:

If Arnold made  tutoring, that means that he gave  tutoring sessions because  divided by  (his rate per tutoring session) is equal to

Given that Arnold must spend half an hour preparing for each session, the total number of hours it took him to earn  is equal to:

Example Question #102 : Numbers And Operations

Joe has completed  math problems and now has one-third of his assignment left to complete. What is the total number of problems in his assignment?

Possible Answers:

Correct answer:

Explanation:

If Joe has one third of his assignment to complete after finishing  problems, that means that  is equal to two-thirds of the entire set. Knowing this, we can write out the equation  and solve for  in order to find how many problems make up Joe's homework assignment.

We can solve this equation by cross-multiplying to get , which simplifies to .

To find , we can divide each side of the equation by . This gives us , so there are  problems in Joe's homework assignment.

Example Question #101 : Isee Lower Level (Grades 5 6) Mathematics Achievement

There are 3 birds in a tree who are joined by their mates. Two-thirds of the birds then fly away. How many birds remain?

Possible Answers:

Correct answer:

Explanation:

Given that there are 3 birds in the tree who are then joined by their mates, there are 6 total birds in the tree. If two-thirds of the birds fly away, 4 birds leave, and 2 birds are left in the nest

Example Question #22 : How To Find The Whole From The Part

In Cody's class, there are  boys for every  girl. If there are  boys in the class, how many students are there in the class altogether? 

Possible Answers:

Correct answer:

Explanation:

To find out how many students are in the class, we first need to find the number of girls in the class. For every  boys, there will be  girl. There are  groups of  in a group of  (or, put another way, ), so the class has  groups of  boys. That means we also have  groups of  girl.  is , so altogether we have  boys and  girls. , so the correct answer is .

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