Common Core: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #511 : Grade 8

Calculate the volume of the cylinder provided. Round the answer to the nearest hundredth. 


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Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cylinder:

Now that we have this formula, we can substitute in the given values and solve:

Example Question #512 : Grade 8

Calculate the volume of the cylinder provided. Round the answer to the nearest hundredth. 


6

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cylinder:

Now that we have this formula, we can substitute in the given values and solve:

Example Question #513 : Grade 8

Calculate the volume of the cylinder provided. Round the answer to the nearest hundredth. 

7

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a cylinder:

Now that we have this formula, we can substitute in the given values and solve:

Example Question #514 : Grade 8

Calculate the volume of the sphere provided. Round the answer to the nearest hundredth. 

 

9

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

Now that we have this formula, we can substitute in the given values and solve:

Example Question #32 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Calculate the volume of the sphere provided. Round the answer to the nearest hundredth. 


11

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

Now that we have this formula, we can substitute in the given values and solve:

Example Question #33 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Calculate the volume of the sphere provided. Round the answer to the nearest hundredth. 


12

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

Now that we have this formula, we can substitute in the given values and solve:

Example Question #31 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9

Which of the following expresses the volume of the sphere provided?


10

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, we need to recall the formula used to calculate the volume of a sphere:

Now that we have this formula, we can substitute in the given values and solve:

 

Example Question #1 : Statistics & Probability

Which of the following would most likely represent an outlier on a scatterplot which relates height (in inches) to shoe size for men? 

Possible Answers:

Correct answer:

Explanation:

An outlier is defined as a point that does not fit within the general pattern of the data. Thus, we are looking for a height that is not within the normal range for an adult male, and shoe size which is outside of the range for an adult male. Typically, an adult male would be between 65 and 77 inches tall (5 feet 5 inches and 6 feet 5 inches). Typically, an adult male's shoe size would be around a 10. Thus, the outlier would have height and shoe size drastically different from these,

Example Question #22 : Basic Statistics

Which of the following represents a positive association in a scatterplot? 

Possible Answers:

As  increases,  decreases. 

There is no pattern amongst the data. 

As  increases,  stays constant. 

As  decreases,  increases. 

As  increases,  also increases. 

Correct answer:

As  increases,  also increases. 

Explanation:

A positive association is defined as a scatterplot on which the best fit line has a positive slope.

This pattern is identified because on the graph, looking from left to right, the vast majority of the points goes up.

This can also be described by saying, "as  increases,  increases". 

Example Question #1 : Scatter Plots

A scatterplot correlates adult males' height vs. shoe size. What does the point  on the scatterplot represent? 

Possible Answers:

All adult males that were surveyed were the same height and weight. 

That 72 inches and 13 shoe size are outliers compared to the rest of the adult male population. 

The median adult male height and shoe size.

One adult male who is 72 inches tall and with a shoe size of 13. 

The mean adult male height and shoe size.

Correct answer:

One adult male who is 72 inches tall and with a shoe size of 13. 

Explanation:

When creating a scatterplot, data is collected. This data is formulated into ordered pairs. Each of these ordered pairs, which are later graphed, represent one person's data. Thus, this particular piece of data would represent one man's height of  inches and that same man's shoe size of

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