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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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All ISEE Lower Level Math Resources

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

Example Questions

Example Question #131 : Operations

Evaluate:

$(-8\times 9)\div6$

Possible Answers:

Correct answer:

Explanation:

To solve this problem, first find the product of $-8\times9$ . Then divide that product by a divisor of .

A negative factor times a positive factor must equal a negative product:

$-8\times9=-72$

$-72\div6=-12$

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Example Question #132 : Operations

Evaluate:

$\frac{3}{4}\div7$

Possible Answers:

$\frac{1}{3}$

$\frac{1}{9}$

$\frac{3}{28}$

$1\frac{1}{3}$

$\frac{21}{4}$

Correct answer:

$\frac{3}{28}$

Explanation:

To evaluate this problem, first find the reciprocal of . To do so, you can simply switch the numerator and the denominator:

The reciprocal of $7=\frac{1}{7}$ .

This will allow you to switch the operation symbol from division to multiplication:

$\frac{3}{4}\div7=\frac{3}{4}\times\frac{1}{7}$

$\frac{3}{4}\times\frac{1}{7}=\frac{3}{28}$

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Example Question #133 : Operations

Evaluate:

$\frac{8}{4}\div4$

Possible Answers:

0.75

0.5

0.25

Correct answer:

0.5

Explanation:

This problem can be approached using several different strategies. One strategy is to reduce $\frac{8}{4}$ and then divide by :

$\frac{8}{4}=8\div4=2$

$2\div4=\frac{2}{4}=\frac{1}{2}=0.5$

Another method you could have used to find the correct answer is to find the reciprocal of and then switch the operation symbol:

$\frac{8}{4}\div4=\frac{8}{4}\times\frac{1}{4}=\frac{8}{16}=\frac{1}{2}=0.5$

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Example Question #134 : Operations

Evaluate:

$(-4\times 2\times -5)\div(-8)$

Possible Answers:

-5.6

-8.5

Correct answer:

Explanation:

To correctly evaluate this problem first find the product of:

$-4\times2\times-5=-8\times-5=40$

Then divide by a divisor of :

$40\div-8=-5$

To check your answer:

$-8\times-5=40$

Remeber a negative factor times a negative factor must equal a positive product.

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Example Question #51 : How To Divide

Find the quotient of:

$325\div3$

Possible Answers:

$125\textup{ r }2$

$108\textup{ r }3$

109

112

$108\textup{ r }1$

Correct answer:

$108\textup{ r }1$

Explanation:

To evaluate this problem use the long division standard algorithm:

Isee standard division algorithm

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Example Question #141 : Operations

Antonio spent dollars on used video games. If he purchased video games total, what was the average cost per game?

Possible Answers:

$12\textup{ dollars}$

$9.5\textup{ dollars}$

$\textup{Not enough information is provided}$

$14\textup{ dollars}$

$8\textup{ dollars}$

Correct answer:

$12\textup{ dollars}$

Explanation:

Since Antonio spent a sum total of dollars to purchase used video games, the average cost per game can be found by dividing the total cost by a divisor of

$36\div3=12$

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Example Question #52 : How To Divide

Find the quotient of:

$156\div12$

Possible Answers:

$16\textup{ r }1$

$13\textup{ r }2$

$12\textup{ r }6$

Correct answer:

Explanation:

To evaluate this problem use the long division standard algorithm:

Isee standard division algorithm

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Example Question #54 : How To Divide

Evaluate:

$\frac{6}{7}\div\frac{5}{9}$

Possible Answers:

$1\textup{ r }19$

$\frac{19}{4}$

$18\textup{ r }1$

$2\textup{ r }1$

$1\textup{ r }7$

Correct answer:

$1\textup{ r }19$

Explanation:

To evaluate this problem, first find the reciprocal of $\frac{5}{9}$ . To do so, you can simply switch the numerator and the denominator:

The reciprocal of $\frac{5}{9}=\frac{9}{5}$ .

This will allow you to switch the operation symbol from division to multiplication:

$\frac{6}{7}\times \frac{9}{5}=\frac{54}{35}$

However, $\frac{54}{35}$ doesn't appear as an answer choice. Thus, it's necessary to use the standard algorithm:

Isee standard division algorithm

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Example Question #53 : How To Divide

Find the quotient of:

$172\div4$

Possible Answers:

0.23

$39\textup{ r }4$

42.5

Correct answer:

Explanation:

To evaluate this problem use the long division standard algorithm:

Isee standard division algorithm

Report an Error

Example Question #54 : How To Divide

Find the quotient of:

$225\div4$

Possible Answers:

$56\textup{ r }1$

$54\textup{ r }1$

$54\textup{ r }4$

Correct answer:

$56\textup{ r }1$

Explanation:

To evaluate this problem use the long division standard algorithm:

Isee standard division algorithm

Report an Error

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All ISEE Lower Level Math Resources

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

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #131 : Operations

Example Question #132 : Operations

Example Question #133 : Operations

Example Question #134 : Operations

Example Question #51 : How To Divide

Example Question #141 : Operations

Example Question #52 : How To Divide

Example Question #54 : How To Divide

Example Question #53 : How To Divide

Example Question #54 : How To Divide

All ISEE Lower Level Math Resources

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