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HSPT Math : Problem Solving

Study concepts, example questions & explanations for HSPT Math

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6 Diagnostic Tests 130 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 $65^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-23^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$98^\circ F$

$97^\circ F$

$78^\circ F$

$88^\circ F$

$87^\circ F$

Correct answer:

$88^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $23^\circ F$ below zero and in Tucson it is $65^\circ F$ above zero; therefore we can say:

$23+65=88^\circ F$

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.

Temp1

We can see that Tucson is $88^\circ F$ 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 $70^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-27^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$79^\circ F$

$97^\circ F$

$77^\circ F$

$89^\circ F$

$98^\circ F$

Correct answer:

$97^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $27^\circ F$ below zero and in Tucson it is $70^\circ F$ above zero; therefore we can say:

$27+70=97^\circ F$

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.

Temp2

We can see that Tucson is $97^\circ F$ warmer than New Castle.

Report an Error

Example Question #3 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

On a particular November day, it is $75^\circ F$ and sunny in Tucson, Arizona. On the eastern side of the United States, it is $-31^\circ F$ and sleeting in New Castle, Pennsylvania. How many degrees warmer is it in Tucson than New Castle?

Possible Answers:

$76^\circ F$

$160^\circ F$

$86^\circ F$

$106^\circ F$

$116^\circ F$

Correct answer:

$106^\circ F$

Explanation:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is $31^\circ F$ below zero and in Tucson it is $75^\circ F$ above zero; therefore we can say:

$31+75=106^\circ F$

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.

Temp3

We can see that Tucson is $106^\circ F$ warmer than New Castle.

Report an Error

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 $80^\circ F$ 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:

$122^\circ F$

$130^\circ F$

$131^\circ F$

$113^\circ F$

$103^\circ F$

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.

Report an Error

Example Question #3 : 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:

$101^\circ F$

$117^\circ F$

$121^\circ F$

$91^\circ F$

$115^\circ F$

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.

Report an Error

Example Question #181 : Grade 6

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:

$151^\circ F$

$82^\circ F$

$115^\circ F$

$91^\circ F$

$97^\circ F$

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.

Report an Error

Example Question #182 : Grade 6

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:

$121^\circ F$

$115^\circ F$

$112^\circ F$

$81^\circ F$

$111^\circ F$

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.

Report an Error

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 $100^\circ F$ 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:

$116^\circ F$

$92^\circ F$

$120^\circ F$

$124^\circ F$

$122^\circ F$

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 #3 : 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:

$115^\circ F$

$127^\circ F$

$95^\circ F$

$125^\circ F$

$135^\circ F$

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

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All HSPT Math Resources

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HSPT Math : Problem Solving

Study concepts, example questions & explanations for HSPT Math

All HSPT 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 #3 : 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 #3 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

Example Question #181 : Grade 6

Example Question #182 : Grade 6

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

Example Question #3 : Understand The Value Of Positive And Negative Numbers: Ccss.Math.Content.6.Ns.C.5

Example Question #119 : Word Problems

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