Common Core: 4th Grade Math : Common Core Math: Grade 4

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

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Example Questions

Example Question #63 : How To Find A Proportion

Melissa ran sprints for , and Megan ran sprints for . 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 #81 : Solve Problems Involving Measurement And Conversion Of Measurements

Megan studied for  everyday from Monday-Friday. How many total hours did she 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 Megan studied for  hours each day. 

Example Question #81 : Measurement & Data

A zookeeper was measuring the snakes during health checks. The ball python was three feet long, and the king cobra was six feet long. What is the difference between the ball python and the king cobra's length in inches?

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 for the ball python first.

Then we can divide to isolate the .

Next, we will solve for the king cobra's length in inches.

Then we can divide to isolate the .

Finally, we need to find the difference between the two snakes' lengths by subtracting them.

The snakes have a difference of  in length.

Example Question #82 : Measurement & Data

On Saturday Natalie practiced her clarinet for  minutes and on Sunday she practiced for  hours. In hours, how much total time did she spend practicing 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.

Natalie spent  hours practicing her clarinet on both Saturday and Sunday.

Example Question #83 : Measurement & Data

Jackie measured the height of her brothers Paul and Randy. Paul was about five feet tall, and Randy was four feet and six inches tall. In inches, how tall are both of her brothers combined?

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 for Paul's height first.

Then we can divide to isolate the .

Next, we will solve for Randy's height in inches. We will leave the inches portion that we already know (six inches) out for now and just convert the four feet into inches.

Then we can divide to isolate the .

Then we add the additional six inches to Randy's total height.

Finally, we need to find total of the brothers' combined height by adding them.

The brothers' have a combined height of  inches.

Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question. 

45

How many hours do most students spend reading? 

Possible Answers:

Correct answer:

Explanation:

There are  x marks above , which is the most marks above our data set numbers. 

Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question. 

45

What is the difference between the longest time spent reading and the shortest time spent reading? 

Possible Answers:

Correct answer:

Explanation:

The shortest time spent reading is  hour, and the longest time spent reading is  hours. We can subtract to find the difference. 

Example Question #1 : Represent And Interpret Data

Use the line plot to answer the question. 

45

One student spends  hours reading and three students spend  hours reading. What is the difference in time spent reading? 

Possible Answers:

Correct answer:

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions. 

Example Question #1 : Represent And Interpret Data

Use the line plot to answer the question. 

45

Three students spend  hours reading and five students spend  hours reading. What is the difference in time spent reading? 

 

 
Possible Answers:

Correct answer:

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions. 

 in order to subtract fractions we need to make common denominators. 

Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question. 

45

Two students spend  hours reading and four students spend  hours reading. What is the difference in time spent reading? 

 

Possible Answers:

Correct answer:

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions. 

 in order to subtract fractions we need to make common denominators. 

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