ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #2 : Find Factor Pairs

Sam purchased \displaystyle 7 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 3

\displaystyle 1

\displaystyle 5

\displaystyle 2

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.

 \displaystyle 1\times7=7

Do not forget to list their reciprocals.

\displaystyle 7\times1=7 

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

Example Question #3 : Find Factor Pairs

Sam purchased \displaystyle 9 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 5

\displaystyle 1

\displaystyle 8

\displaystyle 2

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 Sam’s gummy bears.

 \displaystyle 1\times9=9

\displaystyle 3\times3=9

Do not forget to list their reciprocals.

\displaystyle 9\times1=9 

Sam can make \displaystyle 3 different gift bag combinations with an even amount of gummy bears in each bag.

Example Question #1651 : Grade 6

Sam purchased \displaystyle 12 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 3

\displaystyle 9

\displaystyle 4

\displaystyle 6

Correct answer:

\displaystyle 6

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.

\displaystyle 1\times12=12

\displaystyle 2\times6=12

\displaystyle 3\times4=12

Do not forget to list their reciprocals.

\displaystyle 4\times3=12

\displaystyle 6\times2=12

\displaystyle 12\times1=12 

Sam can make \displaystyle 6 different gift bag combinations with an even amount of gummy bears in each bag.

Example Question #1652 : Grade 6

Sam purchased \displaystyle 14 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 1

\displaystyle 3

\displaystyle 5

\displaystyle 4

\displaystyle 7

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.

\displaystyle 1\times14=14

\displaystyle 2\times7=14

Do not forget to list their reciprocals.

\displaystyle 7\times2=14

\displaystyle 14\times1=14 

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

Example Question #1653 : Grade 6

Sam purchased \displaystyle 18 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 9

\displaystyle 6

\displaystyle 3

Correct answer:

\displaystyle 6

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.

\displaystyle 1\times18=18

\displaystyle 2\times9=18

\displaystyle 3\times6=18

Do not forget to list their reciprocals.

\displaystyle 6\times3=18

\displaystyle 9\times2=18

\displaystyle 18\times1=18 

Sam can make \displaystyle 6 different gift bag combinations with an even amount of gummy bears in each bag.

Example Question #1 : Find Factor Pairs

Sam purchased \displaystyle 22 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 1

\displaystyle 6

\displaystyle 4

\displaystyle 3

\displaystyle 5

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.

\displaystyle 1\times22=22

\displaystyle 2\times11=22

Do not forget to list their reciprocals.

\displaystyle 11\times2=22

\displaystyle 22\times1=22 

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

Example Question #2 : 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 2

\displaystyle 7

\displaystyle 4

\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 Sam’s gummy bears.

 \displaystyle 1\times23=23

Do not forget to list their reciprocals.

\displaystyle 23\times1=23 

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

Example Question #3 : 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 9

\displaystyle 3

\displaystyle 4

\displaystyle 1

\displaystyle 6

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.

\displaystyle 1\times27=27

\displaystyle 3\times9=27

Do not forget to list their reciprocals.

\displaystyle 9\times3=27

\displaystyle 27\times1=27 

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

Example Question #7 : 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 8

\displaystyle 1

\displaystyle 6

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.

\displaystyle 1\times30=30

\displaystyle 2\times15=30

\displaystyle 3\times10=30

\displaystyle 5\times6=30

Do not forget to list their reciprocals.

\displaystyle 6\times5=30

\displaystyle 10\times3=30

\displaystyle 15\times2=30

\displaystyle 30\times1=30 

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

Example Question #51 : How To Find The Distributive Property

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 1

\displaystyle 8

\displaystyle 2

\displaystyle 3

\displaystyle 6

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.

 \displaystyle 1\times31=31

Do not forget to list their reciprocals.

\displaystyle 31\times1=31 

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

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