Common Core: 4th Grade Math : Measurement & Data

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

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Example Questions

Example Question #4 : 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

Three students spend \(\displaystyle 2\frac{1}{4}\) hours reading and five students spend \(\displaystyle 2\frac{1}{2}\) hours reading. What is the difference in time spent reading? 

 

 
Possible Answers:

\(\displaystyle \frac{2}{4}\)

\(\displaystyle 1\frac{2}{4}\)

\(\displaystyle 1\frac{1}{4}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle \frac{3}{4}\)

Correct answer:

\(\displaystyle \frac{1}{4}\)

Explanation:

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

\(\displaystyle 2-2=0\)

\(\displaystyle \frac{1}{2}-\frac{1}{4}\) in order to subtract fractions we need to make common denominators. 

\(\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}\)

\(\displaystyle \frac{2}{4}-\frac{1}{4}=\frac{1}{4}\)

Example Question #91 : Measurement & Data

Use the line plot to answer the question. 

45

Two students spend \(\displaystyle 1\frac{1}{2}\) hours reading and four students spend \(\displaystyle 1\frac{3}{4}\) hours reading. What is the difference in time spent reading? 

 

Possible Answers:

\(\displaystyle 1\frac{1}{3}\)

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{1}{2}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle 1\frac{3}{4}\)

Correct answer:

\(\displaystyle \frac{1}{4}\)

Explanation:

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

\(\displaystyle 1-1=0\)

\(\displaystyle \frac{3}{4}-\frac{1}{2}\) in order to subtract fractions we need to make common denominators. 

\(\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}\)

\(\displaystyle \frac{3}{4}-\frac{2}{4}=\frac{1}{4}\)

Example Question #5 : 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 \(\displaystyle 2\frac{3}{4}\) hours reading and three students spend \(\displaystyle 2\frac{1}{4}\) hours reading. What is the difference in time spent reading? 

Possible Answers:

\(\displaystyle 3\frac{1}{4}\)

\(\displaystyle \frac{2}{4}\)

\(\displaystyle 1\frac{1}{4}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle 2\frac{1}{4}\)

Correct answer:

\(\displaystyle \frac{2}{4}\)

Explanation:

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

\(\displaystyle 2-2=0\)

\(\displaystyle \frac{3}{4}-\frac{1}{4}=\frac{2}{4}\) 

Example Question #211 : Data Analysis

Use the line plot to answer the question. 

45

Two students spend \(\displaystyle 1\frac{1}{2}\) hours reading and three students spend \(\displaystyle 2\frac{3}{4}\) hours reading. What is the difference in time spent reading? 

 

 
Possible Answers:

\(\displaystyle \frac{1}{4}\)

\(\displaystyle 1\frac{1}{4}\)

\(\displaystyle 1\)

\(\displaystyle 1\frac{3}{4}\)

\(\displaystyle 1\frac{2}{4}\)

Correct answer:

\(\displaystyle 1\frac{1}{4}\)

Explanation:

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

\(\displaystyle 2-1=1\)

\(\displaystyle \frac{3}{4}-\frac{1}{2}\) in order to subtract fractions we need to make common denominators. 

\(\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}\)

\(\displaystyle \frac{3}{4}-\frac{2}{4}=\frac{1}{4}\)

Example Question #92 : Measurement & Data

Use the line plot to answer the question. 

45

Four students spend \(\displaystyle 3\) hours reading and one student spends \(\displaystyle 1\frac{1}{4}\) hours reading. What is the difference in time spent reading? 

 

Possible Answers:

\(\displaystyle 1\frac{1}{4}\)

\(\displaystyle 1\frac{2}{4}\)

\(\displaystyle 2\frac{3}{4}\)

\(\displaystyle 2\frac{1}{4}\)

\(\displaystyle 2\frac{2}{4}\)

Correct answer:

\(\displaystyle 2\frac{1}{4}\)

Explanation:

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

\(\displaystyle 3-1=2\)

\(\displaystyle \frac{1}{4}-0=\frac{1}{4}\)

Example Question #7 : 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 \(\displaystyle 2\frac{3}{4}\) hours reading and one student spens \(\displaystyle 1\frac{1}{4}\) hours reading. What is the difference in time spent reading? 

 

Possible Answers:

\(\displaystyle 1\frac{1}{4}\)

\(\displaystyle 1\frac{3}{4}\)

\(\displaystyle 1\frac{2}{4}\)

\(\displaystyle 2\frac{2}{4}\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 1\frac{2}{4}\)

Explanation:

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

\(\displaystyle 2-1=1\)

\(\displaystyle \frac{3}{4}-\frac{1}{4}=\frac{2}{4}\) 

Example Question #93 : Measurement & Data

Use the line plot to answer the question. 

45

Two students read \(\displaystyle 1\frac{1}{2}\) hours, \(\displaystyle 2\) hours, and \(\displaystyle 2\frac{3}{4}\) hours. What are all of these times added together? 

Possible Answers:

\(\displaystyle 6\frac{1}{4}\)

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 5\frac{3}{4}\)

Correct answer:

\(\displaystyle 6\frac{1}{4}\)

Explanation:

When we add mixed numbers we add the whole numbers to the whole numbers and the fractions to the fractions. 

\(\displaystyle 1+2+2=5\)

\(\displaystyle \frac{1}{2}+\frac{3}{4}\)   in order to add fractions we need to make common denominators. 

\(\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}\)

\(\displaystyle \frac{2}{4}-\frac{3}{4}=\frac{5}{4}\)

\(\displaystyle \frac{5}{4}=1\frac{1}{4}\)

\(\displaystyle 5+1\frac{1}{4}=6\frac{1}{4}\)

Example Question #211 : Data Analysis

Use the line plot to answer the question. 

45

Three students read \(\displaystyle 1\) hour and \(\displaystyle 2\frac{1}{4}\). What are these times added together? 

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 2\frac{1}{4}\)

\(\displaystyle 3\frac{1}{4}\)

\(\displaystyle 2\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 3\frac{1}{4}\)

Explanation:

When we add mixed numbers we add the whole numbers to the whole numbers and the fractions to the fractions. 

\(\displaystyle 1+2=3\)

\(\displaystyle 0+\frac{1}{4}=\frac{1}{4}\)

Example Question #222 : Tables

The line chart shows how many hours each student in a class spends reading each week. How many hours, on average, do the least number of students spend reading each week?

 Readinghours

Possible Answers:

\(\displaystyle 1\frac{1}{4}\)

\(\displaystyle 1\)

\(\displaystyle 1\frac{3}{4}\)

\(\displaystyle 1\frac{1}{2}\)

Correct answer:

\(\displaystyle 1\frac{1}{4}\)

Explanation:

There is only \(\displaystyle 1\) x mark above \(\displaystyle 1\frac{1}{4}\), which is the least in our data set. 

Example Question #1 : Geometric Measurement: Understand Concepts Of Angle And Measure Angles

What is an angle that measures less than \(\displaystyle 90^\circ\) called? 

Possible Answers:

An acute angle

An obtuse angle

A right angle

Correct answer:

An acute angle

Explanation:

By definition, an acute angle is any angle that measures less than \(\displaystyle 90^\circ\).

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