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ISEE Lower Level Math : Numbers and Operations

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

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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : Numbers And Operations

Sharon purchased $\displaystyle 15$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 6$

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 Sharon’s candy.

$1\times 15=15$ $\displaystyle 1\times 15=15$

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

Do not forget to list their reciprocals.

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

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

Sharon can make $\displaystyle 4$ different treat bag combinations with an even amount of candy in each bag.

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Example Question #32 : Numbers And Operations

Sharon purchased $\displaystyle 11$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 3$

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 Sharon’s candy.

$1\times 11=11$ $\displaystyle 1\times 11=11$

Do not forget to list their reciprocals.

$11\times1=11$ $\displaystyle 11\times1=11$

Sharon can make $\displaystyle 2$ different treat bag combinations with an even amount of candy in each bag.

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Example Question #33 : Numbers And Operations

Sharon purchased $\displaystyle 25$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 1$

$\displaystyle 3$

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 2$

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 Sharon’s candy.

$1\times 25=25$ $\displaystyle 1\times 25=25$

$5\times5=25$ $\displaystyle 5\times5=25$

Do not forget to list their reciprocals.

$25\times1=25$ $\displaystyle 25\times1=25$

Sharon can make $\displaystyle 3$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #34 : Numbers And Operations

Sharon purchased $\displaystyle 18$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 9$

$\displaystyle 6$

$\displaystyle 7$

$\displaystyle 1$

$\displaystyle 5$

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 Sharon’s candy.

$1\times 18=18$ $\displaystyle 1\times 18=18$

$2\times9=18$ $\displaystyle 2\times9=18$

$3\times 6=18$ $\displaystyle 3\times 6=18$

Do not forget to list their reciprocals.

$6\times 3=18$ $\displaystyle 6\times 3=18$

$9\times 2=18$ $\displaystyle 9\times 2=18$

$18\times 1=18$ $\displaystyle 18\times 1=18$

Sharon can make $\displaystyle 6$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #35 : Numbers And Operations

Sharon purchased $\displaystyle 32$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 7$

$\displaystyle 10$

$\displaystyle 6$

$\displaystyle 8$

$\displaystyle 1$

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 Sharon’s candy.

$1\times 32=32$ $\displaystyle 1\times 32=32$

$2\times16=32$ $\displaystyle 2\times16=32$

$4\times 8=32$ $\displaystyle 4\times 8=32$

Do not forget to list their reciprocals.

$8\times 4=32$ $\displaystyle 8\times 4=32$

$16\times 2=32$ $\displaystyle 16\times 2=32$

$32\times 1=32$ $\displaystyle 32\times 1=32$

Sharon can make $\displaystyle 6$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #31 : Find Factor Pairs

Sharon purchased $\displaystyle 14$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 1$

$\displaystyle 6$

$\displaystyle 4$

$\displaystyle 3$

$\displaystyle 2$

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 Sharon’s candy.

$1\times 14=14$ $\displaystyle 1\times 14=14$

$2\times7=14$ $\displaystyle 2\times7=14$

Do not forget to list their reciprocals.

$7\times 2=14$ $\displaystyle 7\times 2=14$

$14\times 1=14$ $\displaystyle 14\times 1=14$

Sharon can make $\displaystyle 4$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #32 : Find Factor Pairs

Sharon purchased $\displaystyle 13$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 4$

$\displaystyle 6$

$\displaystyle 0$

$\displaystyle 2$

$\displaystyle 3$

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 Sharon’s candy.

$1\times 13=13$ $\displaystyle 1\times 13=13$

Do not forget to list their reciprocals.

$13\times 1=13$ $\displaystyle 13\times 1=13$

Sharon can make $\displaystyle 2$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #33 : Find Factor Pairs

Sharon purchased $\displaystyle 21$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 4$

$\displaystyle 5$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 1$

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 Sharon’s candy.

$1\times 21=21$ $\displaystyle 1\times 21=21$

$3\times 7=21$ $\displaystyle 3\times 7=21$

Do not forget to list their reciprocals.

$7\times 3=21$ $\displaystyle 7\times 3=21$

$21\times1=21$ $\displaystyle 21\times1=21$

Sharon can make $\displaystyle 4$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #34 : Find Factor Pairs

Sharon purchased $\displaystyle 9$ pieces of candy and wants to make Halloween treat bags for the children in her neighborhood. How many different ways can Sharon make treat bags with an even number of pieces of candy in each bag?

Possible Answers:

$\displaystyle 2$

$\displaystyle 1$

$\displaystyle 4$

$\displaystyle 3$

$\displaystyle 9$

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 Sharon’s candy.

$1\times 9=9$ $\displaystyle 1\times 9=9$

$3\times 3=9$ $\displaystyle 3\times 3=9$

Do not forget to list their reciprocals.

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

Sharon can make $\displaystyle 3$ different treat bag combinations with an even amount of candy in each bag.

Report an Error

Example Question #36 : Numbers And Operations

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:

$\displaystyle 5$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 4$

$\displaystyle 2$

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 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

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Numbers and Operations

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #31 : Numbers And Operations

Example Question #32 : Numbers And Operations

Example Question #33 : Numbers And Operations

Example Question #34 : Numbers And Operations

Example Question #35 : Numbers And Operations

Example Question #31 : Find Factor Pairs

Example Question #32 : Find Factor Pairs

Example Question #33 : Find Factor Pairs

Example Question #34 : Find Factor Pairs

Example Question #36 : Numbers And Operations

All ISEE Lower Level Math Resources

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