ISEE Middle Level Math : How to find the whole from the part

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

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Example Questions

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Example Question #141 : Numbers And Operations

Last year, Alex could run a mile in 10 minutes. If Alex was able to reduce his mile time by 2 minutes this year, how many miles could he run in 24 minutes?

Possible Answers:

Correct answer:

Explanation:

Given that Alex was previously able to run a mile in 10 minutes, if he improved his time by 2 minutes, that means he could run a mile in 8 minutes. If he had 24 minutes to run, he would be able to run 3 miles, as 24 divided by 8 is 3. 

Example Question #1031 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Ariel bought 18 pieces of fruit. One third of the pieces of fruit she bought were apples. One half of the apples were bruised. How many bruised apples were there?

Possible Answers:

Correct answer:

Explanation:

If one third of the fruit that Ariel bought were apples, she bought 6 apples because 6 is one third of 18, the total pieces of fruit that she bought. 

If one half of the 6 apples were bruised, this means that 3 of the apples were bruised. 

Example Question #105 : Whole And Part

How many times can the fraction  go into the number 6?

Possible Answers:

Correct answer:

Explanation:

This problem can be solved using mental math. In the number 6, we can find the amount of thirds contained within it by multipling 6 and 3, which gives us 18. 

If there are 18 values of  within 6, then it makes sense that there would be half as many  values, giving us a value of 9. The correct answer is therefore 9. 

Example Question #41 : How To Find The Whole From The Part

A store bought a statue for  and decided to sell it for a price  higher than the price at which it was bought. A customer then purchased the statue. How much profit did the store make in dollars from the sale of the statue?

Possible Answers:

Correct answer:

Explanation:

Given that  of  is , a  price increase for a  statue would mean that the statue's new, increased price 

A customer bought the statue for  and the store originally paid  for the statue, so the store's total profit equals .

 

Example Question #42 : How To Find The Whole From The Part

If you know that male students make up  of a class and there are  of them, what is to total amount of students?

Possible Answers:

Correct answer:

Explanation:

You can set up a ratio for this problem in fraction form.  

The  male students would go over  amount of total students,.  

 would be written as .  

Your ratio would be,

  

and you can cross multiple.  

This would give you .  

To solve for , you would divide each side by  and your answer would be 

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