SSAT Middle Level Math : How to find a proportion

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

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Example Questions

Example Question #3 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Today Jenny worked on homework for  minutes when she got home from school and then worked on homework for  hours after dinner. In minutes, what was the total time that Jenny spent working on homework?

Possible Answers:

Correct answer:

Explanation:

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

Then we can divide to isolate the .

Now we can add our minutes from before and after dinner together to find our total. 

Example Question #1021 : Common Core Math: Grade 4

Jessica ran sprints for  seconds, and Megan ran sprints for  minutes. How many more minutes did Megan run than Jessica? 

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. 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 subtract to find our difference. 

Example Question #1 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Joe’s school is  feet from his house, and his classroom is another  inches once he gets to the school. In inches, how far does he walk to his classroom? 

Possible Answers:

Correct answer:

Explanation:

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

Then we can divide to isolate the .

Now we can add our inches together to find our total. 

Example Question #71 : Solve Problems Involving Measurement And Conversion Of Measurements

Tim has  liters of soda. He pours  milliliters into a glass and drinks it all. In milliliters, how much soda is left? 

Possible Answers:

Correct answer:

Explanation:

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

Then we can divide to isolate the .

Now we can subtract to find out how much is left. 

Example Question #52 : How To Find A Proportion

Ella wants to make 30 cookies, but the recipe only makes 12 cookies. What does she have to multiply all of the ingredients by in order to make the right amount of cookies? 

Possible Answers:

Correct answer:

Explanation:

The proportion of the amount of cookies the recipe makes to the cookies she wants to make is . If you divide  by , you get . Ella will have to multiply each ingredient by  in order to make 30 cookies. 

Example Question #7 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Sarah walked  to the stop sign, and then  to her friend’s house. In feet, how far did she walk?

Possible Answers:

Correct answer:

Explanation:

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

Then we can divide to isolate the .

Now we can add our feet together to find our total. 

Example Question #8 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Avery has  of juice. She pours  into a pitcher. In , how much of the juice is not in the pitcher? 

Possible Answers:

Correct answer:

Explanation:

Because our systems of measurements are the same, the first thing we want to do is subtract. 

 

Our answer is asking us for milliliters, so we need to convert  into milliliters. We know that . We can set up a proportion and cross multiply to solve. 

Then we can divide to isolate the .

 

 

Example Question #30 : Measurement & Data

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 : Measurement & Data

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 

.

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