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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 #31 : Ratios & Proportional Relationships

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$8\ \text{managers}$

$4\ \text{managers}$

$6\ \text{managers}$

$7\ \text{managers}$

Correct answer:

$8\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $20\ \text{workers}$ .

Table

The factory will need $8\ \text{managers}$ .

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Example Question #2 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$18\ \text{managers}$

$20\ \text{managers}$

$16\ \text{managers}$

$19\ \text{managers}$

$21\ \text{managers}$

Correct answer:

$20\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $50\ \text{workers}$ .

Table

The factory will need $20\ \text{managers}$ .

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Example Question #51 : Numbers And Operations

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$13\ \text{managers}$

$14\ \text{managers}$

$8\ \text{managers}$

$12\ \text{managers}$

Correct answer:

$14\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $35\ \text{workers}$ .

Table

The factory will need $14\ \text{managers}$ .

Report an Error

Example Question #51 : Numbers And Operations

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$22\ \text{managers}$

$20\ \text{managers}$

$12\ \text{managers}$

$21\ \text{managers}$

$18\ \text{managers}$

Correct answer:

$22\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $55\ \text{workers}$ .

Table

The factory will need $22\ \text{managers}$ .

Report an Error

Example Question #53 : Numbers And Operations

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$12\ \text{managers}$

$11\ \text{managers}$

$10\ \text{managers}$

$6\ \text{managers}$

$18\ \text{managers}$

Correct answer:

$12\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $30\ \text{workers}$ .

Table

The factory will need $12\ \text{managers}$ .

Report an Error

Example Question #11 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

At a local microchip factory, there are managers for every workers. How many managers are needed for workers?

Possible Answers:

$16\ \text{managers}$

$6\ \text{managers}$

$15\ \text{managers}$

$12\ \text{managers}$

$18\ \text{managers}$

Correct answer:

$16\ \text{managers}$

Explanation:

In order to solve this problem, we will create a table of proportions using the following ratio.

$2\ \text{workers}: 5\ \text{managers}$

If we solve for the table, then we can find the number of managers needed for $40\ \text{workers}$ .

Table

The factory will need $16\ \text{managers}$ .

Report an Error

Example Question #12 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

At a car production company, manufacturers place tires and transmission on every car in the production line. A manager orders tires, how many transmissions should he order?

Possible Answers:

$4\ \text{transmissions}$

$1\ \text{transmission}$

$3\ \text{transmissions}$

$2\ \text{transmissions}$

$5\ \text{transmissions}$

Correct answer:

$4\ \text{transmissions}$

Explanation:

In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:

$4\ \text{tires}:1\ \text{transmission}$

We can use this ratio to make a table.

Tires

According to the table, the manager should order $4\ \text{transmissions}$ .

Report an Error

Example Question #51 : How To Find A Ratio

At a car production company, manufacturers place tires and transmission on every car in the production line. A manager orders tires, how many transmissions should he order?

Possible Answers:

$9\ \text{transmissions}$

$5\ \text{transmissions}$

$6\ \text{transmissions}$

$4\ \text{transmissions}$

$8\ \text{transmissions}$

Correct answer:

$8\ \text{transmissions}$

Explanation:

In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:

$4\ \text{tires}:1\ \text{transmission}$

We can use this ratio to make a table.

Tires

According to the table, the manager should order $8\ \text{transmissions}$ .

Report an Error

Example Question #31 : Ratios & Proportional Relationships

At a car production company, manufacturers place tires and transmission on every car in the production line. A manager orders tires, how many transmissions should he order?

Possible Answers:

$7\ \text{transmissions}$

$8\ \text{transmissions}$

$5\ \text{transmissions}$

$6\ \text{transmissions}$

$3\ \text{transmissions}$

Correct answer:

$6\ \text{transmissions}$

Explanation:

In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:

$4\ \text{tires}:1\ \text{transmission}$

We can use this ratio to make a table.

Tires

According to the table, the manager should order $6\ \text{transmissions}$ .

Report an Error

Example Question #32 : Ratios & Proportional Relationships

At a car production company, manufacturers place tires and transmission on every car in the production line. A manager orders tires, how many transmissions should he order?

Possible Answers:

$9\ \text{transmissions}$

$5\ \text{transmissions}$

$9\ \text{transmissions}$

$6\ \text{transmissions}$

$7\ \text{transmissions}$

Correct answer:

$7\ \text{transmissions}$

Explanation:

In order to solve this problem we must make a table of ratios. In the question we are given the base ratio:

$4\ \text{tires}:1\ \text{transmission}$

We can use this ratio to make a table.

Tires

According to the table, the manager should order $7\ \text{transmissions}$ .

Report an Error

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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 #31 : Ratios & Proportional Relationships

Example Question #2 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

Example Question #51 : Numbers And Operations

Example Question #51 : Numbers And Operations

Example Question #53 : Numbers And Operations

Example Question #11 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

Example Question #12 : Make Tables Of Equivalent Ratios, Find Missing Values, And Plot Values On A Coordinate Plane: Ccss.Math.Content.6.Rp.A.3a

Example Question #51 : How To Find A Ratio

Example Question #31 : Ratios & Proportional Relationships

Example Question #32 : Ratios & Proportional Relationships

All Common Core: 6th Grade Math Resources

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