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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #251 : How To Find The Square Root

What is the value of $\sqrt{a^{2}\cdot 100}$ $\displaystyle \sqrt{a^{2}\cdot 100}$

Possible Answers:

$10\sqrt{a}$ $\displaystyle 10\sqrt{a}$

$\displaystyle a$

10a $\displaystyle 10a$

$10a^{2}$ $\displaystyle 10a^{2}$

Correct answer:

10a $\displaystyle 10a$

Explanation:

In order to solve for $\sqrt{a^{2}\cdot 100}$ $\displaystyle \sqrt{a^{2}\cdot 100}$, the square root must be taken of 100 and $a^{2}$ $\displaystyle a^{2}$, which results in 10a, the correct answer.

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Example Question #252 : How To Find The Square Root

Solve:

$\sqrt{25}*\sqrt{100}=$ $\displaystyle \sqrt{25}*\sqrt{100}=$

Possible Answers:

$\displaystyle 15$

$\displaystyle 50$

100 $\displaystyle 100$

500 $\displaystyle 500$

Correct answer:

$\displaystyle 50$

Explanation:

First find the two square roots:

$\sqrt{25}=5$ $\displaystyle \sqrt{25}=5$

$\sqrt{100}=10$ $\displaystyle \sqrt{100}=10$

Then multiply:

5*10=50 $\displaystyle 5*10=50$

Answer: $\displaystyle 50$

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Example Question #253 : How To Find The Square Root

Solve:

$\sqrt{25}+\sqrt{100}=$ $\displaystyle \sqrt{25}+\sqrt{100}=$

Possible Answers:

$\displaystyle 51$

$\displaystyle 50$

$\displaystyle 45$

$\displaystyle 15$

Correct answer:

$\displaystyle 15$

Explanation:

Find the square roots:

$\sqrt{25}=5$ $\displaystyle \sqrt{25}=5$

$\sqrt{100}=10$ $\displaystyle \sqrt{100}=10$

Then add them together:

5+10=15 $\displaystyle 5+10=15$

Answer: $\displaystyle 15$

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Example Question #254 : How To Find The Square Root

Solve:

$\sqrt{16}*100=$ $\displaystyle \sqrt{16}*100=$

Possible Answers:

$\displaystyle 84$

1600 $\displaystyle 1600$

116 $\displaystyle 116$

400 $\displaystyle 400$

Correct answer:

400 $\displaystyle 400$

Explanation:

First find the square root:

$\sqrt{16}=4$ $\displaystyle \sqrt{16}=4$

Then multiply by 100:

$\displaystyle 4*100=400$

Answer: 400 $\displaystyle 400$

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Example Question #255 : How To Find The Square Root

Solve:

$\sqrt{81}*22=$ $\displaystyle \sqrt{81}*22=$

Possible Answers:

123 $\displaystyle 123$

$\displaystyle 68$

198 $\displaystyle 198$

125 $\displaystyle 125$

Correct answer:

198 $\displaystyle 198$

Explanation:

First find the square root:

$\sqrt{81}=9$ $\displaystyle \sqrt{81}=9$

Then perform the multiplication: $\displaystyle 9*22=198$

Answer: 198 $\displaystyle 198$

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Example Question #256 : How To Find The Square Root

Solve:

$\sqrt{49}*45=$ $\displaystyle \sqrt{49}*45=$

Possible Answers:

315 $\displaystyle 315$

$\displaystyle 94$

2205 $\displaystyle 2205$

$\displaystyle 4$

Correct answer:

315 $\displaystyle 315$

Explanation:

According to the order of operations, we should first simplify the radical, then multiply:

$\sqrt{49}=7$ $\displaystyle \sqrt{49}=7$

$\displaystyle 7*45=315$

Answer: 315 $\displaystyle 315$

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Example Question #257 : How To Find The Square Root

Solve: $\sqrt{36}*18=$ $\displaystyle \sqrt{36}*18=$

Possible Answers:

180 $\displaystyle 180$

801 $\displaystyle 801$

108 $\displaystyle 108$

810 $\displaystyle 810$

Correct answer:

108 $\displaystyle 108$

Explanation:

We should always simplify when possible. Let's first simplify the square root:

$\sqrt{36}=6$ $\displaystyle \sqrt{36}=6$

Now all that's left is to find the product:

$\displaystyle 6*18=108$

Answer: 108 $\displaystyle 108$

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Example Question #258 : How To Find The Square Root

$\sqrt{25}*90=$ $\displaystyle \sqrt{25}*90=$

Possible Answers:

4500 $\displaystyle 4500$

$\displaystyle 45$

900 $\displaystyle 900$

450 $\displaystyle 450$

Correct answer:

450 $\displaystyle 450$

Explanation:

First take the square root:

$\sqrt{25}=5$ $\displaystyle \sqrt{25}=5$

Then multiply:

$\displaystyle 5*90=450$

Answer: 450 $\displaystyle 450$

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Example Question #259 : How To Find The Square Root

$\sqrt{49}*50=$ $\displaystyle \sqrt{49}*50=$

Possible Answers:

$\displaystyle 35$

235 $\displaystyle 235$

350 $\displaystyle 350$

490 $\displaystyle 490$

Correct answer:

350 $\displaystyle 350$

Explanation:

First find the square root, then the product:

$\sqrt{49}=7$ $\displaystyle \sqrt{49}=7$

$\displaystyle 7*50=350$

Answer: 350 $\displaystyle 350$

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Example Question #260 : How To Find The Square Root

$\sqrt{9}*69=$ $\displaystyle \sqrt{9}*69=$

Possible Answers:

201 $\displaystyle 201$

200 $\displaystyle 200$

210 $\displaystyle 210$

207 $\displaystyle 207$

Correct answer:

207 $\displaystyle 207$

Explanation:

Take the square root:

$\sqrt{9}=3$ $\displaystyle \sqrt{9}=3$

Multiply:

$\displaystyle 3*69=207$

Answer: 207 $\displaystyle 207$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : ISEE Middle Level (grades 7-8) Mathematics Achievement

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #251 : How To Find The Square Root

Example Question #252 : How To Find The Square Root

Example Question #253 : How To Find The Square Root

Example Question #254 : How To Find The Square Root

Example Question #255 : How To Find The Square Root

Example Question #256 : How To Find The Square Root

Example Question #257 : How To Find The Square Root

Example Question #258 : How To Find The Square Root

Example Question #259 : How To Find The Square Root

Example Question #260 : How To Find The Square Root

All ISEE Middle Level Math Resources

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