SSAT Middle Level Math : Ratio and Proportion

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

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Example Questions

Example Question #21 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many  are in 

 

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that  and we can use  as our unknown. 

Next, we want to cross multiply and divide to isolate the  on one side. 

The  will cancel and we are left with 

Example Question #31 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many  are in 

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that  and we can use  as our unknown. 

Next, we want to cross multiply and divide to isolate the  on one side. 

The  will cancel and we are left with 

Example Question #181 : Ratio And Proportion

Possible Answers:

Correct answer:

Explanation:

The cross-products (the product of a numerator and the other denominator) of a proportion are equal, so, if

,

it follows that 

.

Example Question #182 : Ratio And Proportion

Possible Answers:

Correct answer:

Explanation:

A property of proportions states that if two ratios are equivalent, then the ratio of numerators and the ratio of denominators are as well. Therefore, since

,

it follows that

Example Question #183 : Ratio And Proportion

Possible Answers:

Correct answer:

Explanation:

A property of proportions states that if two ratios are equivalent, so are their reciprocals. Therefore, since

,

it follows that

.

Example Question #9 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Hannah has a  bag of peanuts that she is going to divide evenly between her four friends. How many ounces of peanuts does she give to each friend? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to divide our  by  because we are splitting the peanuts up equally between  people. 

Example Question #10 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Molly has a  bag of peanuts that she is going to divide evenly between her three friends. How many ounces of peanuts does she give to each friend? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

Now we need to divide our  by  because we are splitting the peanuts up equally between  people. 

Example Question #32 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many  are in 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that , and we can use  as our unknown. 

Next, we want to cross multiply and divide to isolate the  on one side. 

The  will cancel and we are left with 

Example Question #2 : Conversions

How many  are in 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can make proportions.

We know that  and we can use  as our unknown. 

Next, we want to cross multiply and divide to isolate the  on one side. 

The  will cancel and we are left with 

Example Question #187 : Ratio And Proportion

Possible Answers:

Correct answer:

Explanation:

By a proportion property, if , it follows that .

Setting 

if , then .

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