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 #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.

\(\displaystyle 1\times9=9\)

\(\displaystyle 3\times3=9\)

Do not forget to list their reciprocals.

\(\displaystyle 9\times1=9\)

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

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:

\(\displaystyle 1\)

\(\displaystyle 5\)

\(\displaystyle 7\)

\(\displaystyle 2\)

\(\displaystyle 3\)

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 Jack’s seeds.

\(\displaystyle 1\times13=13\)

Do not forget to list their reciprocals.

\(\displaystyle 13\times1=13\)

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

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.

\(\displaystyle 1\times15=15\)

\(\displaystyle 3\times5=15\)

Do not forget to list their reciprocals.

\(\displaystyle 5\times3=15\)

\(\displaystyle 15\times1=15\)

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

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.

\(\displaystyle 1\times17=17\)

Do not forget to list their reciprocals.

\(\displaystyle 17\times1=17\)

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

Example Question #55 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased \(\displaystyle 21\) 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:

\(\displaystyle 1\)

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 3\)

\(\displaystyle 2\)

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.

\(\displaystyle 1\times21=21\)

\(\displaystyle 3\times7=21\)

Do not forget to list their reciprocals.

\(\displaystyle 7\times3=21\)

\(\displaystyle 21\times1=21\)

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

Example Question #56 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased \(\displaystyle 24\) 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:

\(\displaystyle 10\)

\(\displaystyle 6\)

\(\displaystyle 8\)

\(\displaystyle 1\)

\(\displaystyle 2\)

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 Jack’s seeds.

\(\displaystyle 1\times24=24\)

\(\displaystyle 2\times12=24\)

\(\displaystyle 3\times8=24\)

\(\displaystyle 4\times6=24\)

Do not forget to list their reciprocals.

\(\displaystyle 6\times4=24\)

\(\displaystyle 8\times3=24\)

\(\displaystyle 12\times2=24\)

\(\displaystyle 24\times1=24\)

Jack can make \(\displaystyle 8\) different seed bag combinations with an even number of seeds in each bag.

Example Question #57 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased \(\displaystyle 25\) 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:

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 1\)

\(\displaystyle 2\)

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 Jack’s seeds.

\(\displaystyle 1\times25=25\)

\(\displaystyle 5\times5=25\)

Do not forget to list their reciprocals.

\(\displaystyle 25\times1=25\)

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

Example Question #58 : Find Greatest Common Factor And Least Common Multiple: Ccss.Math.Content.6.Ns.B.4

Jack purchased \(\displaystyle 30\) 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:

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 1\)

\(\displaystyle 5\)

\(\displaystyle 4\)

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 Jack’s seeds.

\(\displaystyle 1\times30=30\)

\(\displaystyle 2\times15=30\)

\(\displaystyle 3\times10=30\)

\(\displaystyle 5\times6=30\)

Do not forget to list their reciprocals.

\(\displaystyle 6\times5=30\)

\(\displaystyle 10\times3=30\)

\(\displaystyle 15\times2=30\)

\(\displaystyle 30\times1=30\)

Jack can make \(\displaystyle 8\) different seed bag combinations with an even number of seeds in each bag.

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

Jack purchased \(\displaystyle 32\) 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 in each bag?

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 1\)

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 5\)

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.

\(\displaystyle 2\times16=32\)

\(\displaystyle 4\times8=32\)

Do not forget to list their reciprocals.

\(\displaystyle 8\times4=32\)

\(\displaystyle 16\times2=32\)

and add to the list:

\(\displaystyle 32\times1=32\)

Jack can make \(\displaystyle 5\) different seed bag combinations with an even number of seeds in each bag.

Example Question #1 : Find Factor Pairs

Sam purchased \(\displaystyle 6\) 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:

\(\displaystyle 2\)

\(\displaystyle 1\)

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 6\)

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.

 \(\displaystyle 1\times6=6\)

\(\displaystyle 2\times3=6\)

Do not forget to list their reciprocals.

\(\displaystyle 3\times2=6\)

\(\displaystyle 6\times1=6\) 

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

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