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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 : Find Factor Pairs

Sam purchased $\displaystyle 23$ gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

$\displaystyle 7$

$\displaystyle 1$

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 3$

Correct answer:

$\displaystyle 2$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times23=23$ $\displaystyle 1\times23=23$

Do not forget to list their reciprocals.

$23\times1=23$ $\displaystyle 23\times1=23$

Sam can make $\displaystyle 2$ different gift bag combinations with an even amount of gummy bears in each bag.

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Example Question #2 : Find Factor Pairs

Sam purchased $\displaystyle 27$ gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

$\displaystyle 4$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 6$

$\displaystyle 9$

Correct answer:

$\displaystyle 4$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times27=27$ $\displaystyle 1\times27=27$

$3\times9=27$ $\displaystyle 3\times9=27$

Do not forget to list their reciprocals.

$9\times3=27$ $\displaystyle 9\times3=27$

$27\times1=27$ $\displaystyle 27\times1=27$

Sam can make $\displaystyle 4$ different gift bag combinations with an even amount of gummy bears in each bag.

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Example Question #3 : Find Factor Pairs

Sam purchased $\displaystyle 30$ gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

$\displaystyle 9$

$\displaystyle 7$

$\displaystyle 6$

$\displaystyle 8$

$\displaystyle 1$

Correct answer:

$\displaystyle 8$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times30=30$ $\displaystyle 1\times30=30$

$2\times15=30$ $\displaystyle 2\times15=30$

$3\times10=30$ $\displaystyle 3\times10=30$

$5\times6=30$ $\displaystyle 5\times6=30$

Do not forget to list their reciprocals.

$6\times5=30$ $\displaystyle 6\times5=30$

$10\times3=30$ $\displaystyle 10\times3=30$

$15\times2=30$ $\displaystyle 15\times2=30$

$30\times1=30$ $\displaystyle 30\times1=30$

Sam can make $\displaystyle 8$ different gift bag combinations with an even amount of gummy bears in each bag.

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Example Question #42 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Sam purchased $\displaystyle 31$ gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

$\displaystyle 3$

$\displaystyle 2$

$\displaystyle 6$

$\displaystyle 8$

$\displaystyle 1$

Correct answer:

$\displaystyle 2$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times31=31$ $\displaystyle 1\times31=31$

Do not forget to list their reciprocals.

$31\times1=31$ $\displaystyle 31\times1=31$

Sam can make $\displaystyle 2$ different gift bag combinations with an even amount of gummy bears in each bag.

Report an Error

Example Question #61 : Distributive Property

Sam purchased $\displaystyle 35$ gummy bears and wants to make gift bags to give to his friends at school. How many different ways can Sam make gift bags with an even number of gummy bears in each bag?

Possible Answers:

$\displaystyle 4$

$\displaystyle 5$

$\displaystyle 6$

$\displaystyle 1$

$\displaystyle 3$

Correct answer:

$\displaystyle 4$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Sam’s gummy bears.

$1\times35=35$ $\displaystyle 1\times35=35$

$5\times7=35$ $\displaystyle 5\times7=35$

Do not forget to list their reciprocals.

$7\times5=35$ $\displaystyle 7\times5=35$

$35\times1=35$ $\displaystyle 35\times1=35$

Sam can make $\displaystyle 4$ different gift bag combinations with an even amount of gummy bears in each bag.

Report an Error

Example Question #44 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased $\displaystyle 7$ tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Possible Answers:

$\displaystyle 5$

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 4$

$\displaystyle 3$

Correct answer:

$\displaystyle 2$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times7=7$ $\displaystyle 1\times7=7$

Do not forget to list their reciprocals.

$7\times1=7$ $\displaystyle 7\times1=7$

Jack can make $\displaystyle 2$ different seed bag combinations with an even number of seeds in each bag.

Report an Error

Example Question #41 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased $\displaystyle 9$ tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Possible Answers:

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 3$

Correct answer:

$\displaystyle 3$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times9=9$ $\displaystyle 1\times9=9$

$3\times3=9$ $\displaystyle 3\times3=9$

Do not forget to list their reciprocals.

$9\times1=9$ $\displaystyle 9\times1=9$

Jack can make $\displaystyle 3$ different seed bag combinations with an even number of seeds in each bag.

Report an Error

Example Question #51 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased $\displaystyle 13$ tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Possible Answers:

$\displaystyle 7$

$\displaystyle 2$

$\displaystyle 5$

$\displaystyle 1$

$\displaystyle 3$

Correct answer:

$\displaystyle 2$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times13=13$ $\displaystyle 1\times13=13$

Do not forget to list their reciprocals.

$13\times1=13$ $\displaystyle 13\times1=13$

Jack can make $\displaystyle 2$ different seed bag combinations with an even number of seeds in each bag.

Report an Error

Example Question #41 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Jack purchased $\displaystyle 15$ tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Possible Answers:

$\displaystyle 1$

$\displaystyle 5$

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle 3$

Correct answer:

$\displaystyle 4$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times15=15$ $\displaystyle 1\times15=15$

$3\times5=15$ $\displaystyle 3\times5=15$

Do not forget to list their reciprocals.

$5\times3=15$ $\displaystyle 5\times3=15$

$15\times1=15$ $\displaystyle 15\times1=15$

Jack can make $\displaystyle 4$ different seed bag combinations with an even number of seeds in each bag.

Report an Error

Example Question #53 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased $\displaystyle 17$ tomato seeds and wants to make bags to sell at the local farmers’ market. How many different ways can Jack make seed bags with an even number of seeds of in each bag?

Possible Answers:

$\displaystyle 7$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 5$

$\displaystyle 3$

Correct answer:

$\displaystyle 2$

Explanation:

We will solve this problem by finding factor pairs. Factor pairs are composed of two numbers that are multiplied together to equal a product. List all the factor pairs of Jack’s seeds.

$1\times17=17$ $\displaystyle 1\times17=17$

Do not forget to list their reciprocals.

$17\times1=17$ $\displaystyle 17\times1=17$

Jack can make $\displaystyle 2$ different seed bag combinations with an even number of seeds in each bag.

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 #1 : Find Factor Pairs

Example Question #2 : Find Factor Pairs

Example Question #3 : Find Factor Pairs

Example Question #42 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Example Question #61 : Distributive Property

Example Question #44 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Example Question #41 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Example Question #51 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Example Question #41 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #53 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

All Common Core: 6th Grade Math Resources

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