Common Core: 4th Grade Math : Solve problems involving measurement and conversion of measurements

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #571 : How To Multiply

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 9.28.11 am

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

First we cross multiply. 

 

Then we divide each side by  to isolate the .

Example Question #572 : How To Multiply

Fill in the missing piece of the table. 


Screen shot 2015 09 01 at 9.29.37 am

Possible Answers:

Correct answer:

Explanation:

To solve this problem we can set up a proportion and cross multiply to solve for our unknown. 

First we cross multiply. 

 

Then we divide each side by  to isolate the .

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

On Saturday Jake raked leaves for  minutes and on Sunday he raked leaves for  hours. In hours, how much total time did he spend raking on both Saturday and Sunday?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. 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 hours together to find the total. 

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

Matt studied for  minutes everyday from Monday-Friday. How many total hours did he spend studying?

Possible Answers:

Correct answer:

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. 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 multiply  because Matt studied for  hours each day. 

Example Question #171 : Ratio And Proportion

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 #172 : Ratio And Proportion

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 #5 : 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 #6 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

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 #75 : Measurement & Data

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 #76 : Measurement & Data

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 .

 

 

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