ISEE Lower Level Math : Ratio and Proportion

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

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Example Questions

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Example Question #531 : Numbers And Operations

On a typical day, twenty percent of the pies that a pie store sells are blueberry pies. If the store sells forty pies on just such a typical day, how many blueberry pies were likely sold?

Possible Answers:

Correct answer:

Explanation:

If  store sells  pies, and typically  of the pies that are sold are blueberry, that means that  of the pies sold were probably blueberry. 

Given that  of  is , it follows that  of  is

Therefore,  is the correct answer.

Example Question #13 : How To Find A Proportion

The ratio of rabbits to guinea pigs to hamsters in a pet store is 3:2:4. If there are 12 rabbits in the pet store, how many hamsters are there?

Possible Answers:

Correct answer:

Explanation:

Given that the ratio of rabbits to guinea pigs to hamsters in a pet store is , each number should be 4 times greater if there are 12 rabbits. This is because 3 times 4 is 12. 

Therefore, we can transform the of rabbits to guinea pigs to hamsters into 

Therefore, there are 16 hamsters. 

Example Question #18 : How To Find A Proportion

Reduce the following proportion to its simplest form: 

Possible Answers:

Correct answer:

Explanation:

To simplify, you find a common factor for both the numerator and denominator and divide them both by that value.  

Both  and  have a common factor of .  

This gives us,

 .

Example Question #531 : Numbers And Operations

Rachel and Michael earn the same amount of money per hour.  Rachel earns $64.00 for eight hours of work. How long would it take Michael to earn $96.00?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, you would set up a direct proportion:

To make the process even simpler, you could first reduce the first fraction in this direct proportion. The fraction was reduced to simplest form by dividing both the numerator and the denominator by 8, the greatest common factor or the GCF.

Divide both sides by the coefficient of x, which is 8:

Example Question #20 : How To Find A Proportion

On a map, one inch is equal to  miles. How many inches will be on the map for a a distance of  miles?

Possible Answers:

Correct answer:

Explanation:

The proportion for the problem will be,

.  

You then cross multiple to get 

.  

To find , you divide both sides by  to get

          

   

         

     

         

Therefore

 

 

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