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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

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Example Question #111 : Numbers And Operations

Candidate A receives votes for every vote that candidate B receives. At the end of the election candidate B has 900 votes. How many votes did candidate A get?

Possible Answers:

300

900

2700

100

1800

Correct answer:

2700

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every votes cast for candidate A, candidate B got vote. We can write the following ratio.

$A:B\rightarrow\frac{A}{B}$

Now substitute in the given numbers.

$3:1\rightarrow \frac{3}{1}$

We know that candidate B received 900 votes. Write a new ratio.

$A:900\rightarrow\frac{A}{900}$

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

$\frac{3}{1}=\frac{A}{900}$

Cross multiply and solve for .

1(A)=900(3)

Simplify and solve.

A=2700

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Example Question #12 : Ratios & Proportional Relationships

Candidate A receives votes for every vote that candidate B receives. At the end of the election candidate B has 134 votes. How many votes did candidate A get?

Possible Answers:

893

839

338

389

938

Correct answer:

938

Explanation:

In order to solve this problem we need to create a ratio with the given information. It says that for every votes cast for candidate A, candidate B got vote. We can write the following ratio.

$A:B\rightarrow\frac{A}{B}$

Now substitute in the given numbers.

$7:1\rightarrow \frac{7}{1}$

We know that candidate B received 134 votes. Write a new ratio.

$A:134\rightarrow\frac{A}{134}$

Now, use the original relationship to create a proportion and solve for the number of votes that candidate A received.

$\frac{7}{1}=\frac{A}{134}$

Cross multiply and solve for .

1(A)=134(7)

Simplify and solve.

A=938

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Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels $195\ miles$ in $5\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

35mph

24mph

43mph

42mph

39mph

Correct answer:

39mph

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$195\ miles: 5\ hours=\frac{195\ miles}{5\ hours}$

Reduce and solve.

39mph

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Example Question #2 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels $2035\ miles$ in $37\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

55mph

45mph

57mph

47mph

53mph

Correct answer:

55mph

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$2035\ miles: 37\ hours=\frac{2035\ miles}{37\ hours}$

Reduce and solve.

55mph

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Example Question #3 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels $180\ miles$ in $3\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

60mph

72mph

66mph

30mph

90mph

Correct answer:

60mph

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$180\ miles: 3\ hours=\frac{180\ miles}{3\ hours}$

Reduce and solve.

60mph

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Example Question #41 : Ratio And Proportion

A motorcycle travels $360\ miles$ in $8\ hours$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

47mph

55mph

34mph

45mph

54mph

Correct answer:

45mph

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$360\ miles: 8\ hours=\frac{360\ miles}{8\ hours}$

Reduce and solve.

45mph

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Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcyclist travels $2310\textup{ miles}$ in $55\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$47\textup{ mph}$

$49\textup{ mph}$

$42\textup{ mph}$

$60\textup{ mph}$

$46\textup{ mph}$

Correct answer:

$42\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$2310\ miles: 55\ hours=\frac{2310\ miles}{55\ hours}$

Reduce and solve.

$42\textup{ mph}$

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Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels $1445\textup{ miles}$ in $17\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$77\textup{ mph}$

$85\textup{ mph}$

$75\textup{ mph}$

$87\textup{ mph}$

$83\textup{ mph}$

Correct answer:

$85\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$1445\ miles: 17\ hours=\frac{1445\ miles}{17\ hours}$

Reduce and solve.

85mph

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Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels $60\textup{ miles}$ in $1\textup{ hour}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$60\textup{ mph}$

$20\textup{ mph}$

$30\textup{ mph}$

$120\textup{ mph}$

$25\textup{ mph}$

Correct answer:

$60\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$60\ miles: 1\ hour=\frac{60\ miles}{1\ hour}$

Reduce and solve.

60mph

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Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

A motorcycle travels $723\textup{ miles}$ in $3\textup{ hours}$ . What is the motorcyclist’s speed in miles per hour (mph)?

Possible Answers:

$241\textup{ mph}$

$421\textup{ mph}$

$142\textup{ mph}$

$211\textup{ mph}$

$124\textup{ mph}$

Correct answer:

$241\textup{ mph}$

Explanation:

In order to find the motorcyclist’s speed, we need to create a ratio of the miles travelled in a single hour.

$723\ miles: 3\ hours=\frac{723\ miles}{3\ hours}$

Reduce and solve.

241mph

Report an Error

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All Common Core: 6th Grade Math Resources

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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 #111 : Numbers And Operations

Example Question #12 : Ratios & Proportional Relationships

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

Example Question #2 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

Example Question #3 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

Example Question #41 : Ratio And Proportion

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

Example Question #1 : Understand The Concept Of A Unit Rate: Ccss.Math.Content.6.Rp.A.2

All Common Core: 6th Grade Math Resources

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