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Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

On a particular November day, it is $80^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-33^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$113^\circ F$

$122^\circ F$

$131^\circ F$

$103^\circ F$

$130^\circ F$

Correct answer:

$113^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $33^\circ F$ below zero and in Tucson it is $80^\circ F$ above zero; therefore we can say:

$33+80=113^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is units away.

Temp4

We can see that Tucson is $113^\circ F$ warmer than New Castle.

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Example Question #1 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

On a particular November day, it is $85^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-32^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$117^\circ F$

$91^\circ F$

$115^\circ F$

$121^\circ F$

$101^\circ F$

Correct answer:

$117^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $32^\circ F$ below zero and in Tucson it is $85^\circ F$ above zero; therefore we can say:

$32+85=117^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is units away.

Temp5

We can see that Tucson is $117^\circ F$ warmer than New Castle.

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Example Question #2 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

On a particular November day, it is $90^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-25^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$97^\circ F$

$115^\circ F$

$151^\circ F$

$82^\circ F$

$91^\circ F$

Correct answer:

$115^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $25^\circ F$ below zero and in Tucson it is $90^\circ F$ above zero; therefore we can say:

$25+90=115^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is units away.

Temp6

We can see that Tucson is $115^\circ F$ warmer than New Castle.

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Example Question #81 : How To Do Other Word Problems

On a particular November day, it is $95^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-26^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$121^\circ F$

$81^\circ F$

$115^\circ F$

$111^\circ F$

$112^\circ F$

Correct answer:

$121^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $26^\circ F$ below zero and in Tucson it is $95^\circ F$ above zero; therefore we can say:

$26+95=121^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is units away.

Temp7

We can see that Tucson is $121^\circ F$ warmer than New Castle.

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Example Question #551 : Problem Solving

On a particular November day, it is $100^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-22^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$122^\circ F$

$116^\circ F$

$92^\circ F$

$124^\circ F$

$120^\circ F$

Correct answer:

$122^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $22^\circ F$ below zero and in Tucson it is $100^\circ F$ above zero; therefore we can say:

$22+100=122^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is 100 units away.

Temp8

We can see that Tucson is $122^\circ F$ warmer than New Castle.

Report an Error

Example Question #1 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

On a particular November day, it is $105^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-20^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$135^\circ F$

$125^\circ F$

$95^\circ F$

$127^\circ F$

$115^\circ F$

Correct answer:

$125^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $20^\circ F$ below zero and in Tucson it is $105^\circ F$ above zero; therefore we can say:

$20+105=125^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is 105 units away.

Temp9

We can see that Tucson is $125^\circ F$ warmer than New Castle.

Report an Error

Example Question #119 : Word Problems

On a particular November day, it is $110^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-15^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$150^\circ F$

$80^\circ F$

$152^\circ F$

$125^\circ F$

$115^\circ F$

Correct answer:

$125^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $15^\circ F$ below zero and in Tucson it is $110^\circ F$ above zero; therefore we can say:

$15+110=125^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is 110 units away.

Temp10

We can see that Tucson is $125^\circ F$ warmer than New Castle.

Report an Error

Example Question #85 : How To Do Other Word Problems

On a particular November day, it is $115^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-10^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$123^\circ F$

$135^\circ F$

$115^\circ F$

$122^\circ F$

$125^\circ F$

Correct answer:

$125^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $10^\circ F$ below zero and in Tucson it is $115^\circ F$ above zero; therefore we can say:

$10+115=125^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is 115 units away.

Temp11

We can see that Tucson is $125^\circ F$ warmer than New Castle.

Report an Error

Example Question #121 : Word Problems

On a particular November day, it is $120^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-12^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$123^\circ F$

$125^\circ F$

$135^\circ F$

$132^\circ F$

$130^\circ F$

Correct answer:

$132^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $12^\circ F$ below zero and in Tucson it is $120^\circ F$ above zero; therefore we can say:

$12+120=132^\circ F$

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is 120 units away.

Temp12

We can see that Tucson is $132^\circ F$ warmer than New Castle.

Report an Error

Example Question #1 : Recognize Opposite Signs Of Numbers As Indicating Locations On Opposite Sides Of 0 On The Number Line: Ccss.Math.Content.6.Ns.C.6a

Select the number that is the opposite of

Possible Answers:

Correct answer:

Explanation:

If the original number is negative, the opposite number will be the positive value of that same number. Vise versa, if the original number is positive, the opposite number will be the negative value of the same number.

In this case, the opposite of is . As shown from the image, the numbers are on opposite sides of on the number line.

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #1 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

Example Question #1 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

Example Question #2 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

Example Question #81 : How To Do Other Word Problems

Example Question #551 : Problem Solving

Example Question #1 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

Example Question #119 : Word Problems

Example Question #85 : How To Do Other Word Problems

Example Question #121 : Word Problems

Example Question #1 : Recognize Opposite Signs Of Numbers As Indicating Locations On Opposite Sides Of 0 On The Number Line: Ccss.Math.Content.6.Ns.C.6a

All Common Core: 6th Grade Math Resources

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