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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 #1 : Squares / Square Roots

$\dpi{100} (4+2)^{2}=$

Possible Answers:

$\dpi{100} 16$

$\dpi{100} 36$

$\dpi{100} 6$

$\dpi{100} 4$

Correct answer:

$\dpi{100} 36$

Explanation:

Follow PEMDAS for order of operations. First, we add the numbers inside the parentheses.

$\dpi{100} 4+2=6$

Then we take $\dpi{100} 6^{2}=36$ .

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Example Question #2 : Squares / Square Roots

$13.25 < \sqrt{x} < 13.5$

Which of the following is a possible value for ?

Possible Answers:

183

175

None of the other answers are correct.

185

169

Correct answer:

None of the other answers are correct.

Explanation:

$13.25 < \sqrt{x} < 13.5$

We can find more information on the value of by squaring all of our terms to remove the square root.

$13.25^{2} < \left (\sqrt{x} \right )^{2}< 13.5^{2}$

175.5625<x< 182.25

Now we have a range of values for , however, none of these choices fall in this range.

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Example Question #1 : How To Find The Square Root

Evaluate: $\sqrt{81} + \sqrt{25 } + \sqrt{36}$

Possible Answers:

Correct answer:

Explanation:

Find the individual square roots and add them.

$\sqrt{81} = 9$

$\sqrt{25 } = 5$

$\sqrt{36} = 6$

$\sqrt{81} + \sqrt{25 } + \sqrt{36} = 9 + 5 + 6 = 20$

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Example Question #3 : Squares / Square Roots

What is the product of the square root of twice eighteen and four less than ten?

Possible Answers:

Correct answer:

Explanation:

$\sqrt{2*18} *(10-4)$

$\sqrt{36} *6$

6*6=36

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Example Question #4 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\frac{\sqrt{9}+\sqrt{25}} \sqrt{4}$ =

Possible Answers:

Correct answer:

Explanation:

First find the square root for each number. Then solve accordingly.

$\frac{3+5}{2}=\frac{8}{2}=4$

The answer is 4.

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Example Question #4 : Squares / Square Roots

$\sqrt{25} + \sqrt{64} + \sqrt{16} =$

Possible Answers:

Correct answer:

Explanation:

First, find the square root of each number, then add.

5 + 8 + 4=

The answer is 17.

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Example Question #1 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$3\sqrt{49} + \sqrt{144} =$

Possible Answers:

333

252

Correct answer:

Explanation:

First, find the square roots of the numbers:

$\sqrt{49} = 7$

$\sqrt{144}=12$

Then, solve the equation using order of operations:

$3\left ( 7 \right ) + 12=$

21 + 12 = 33

The answer is .

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Example Question #7 : Squares / Square Roots

$4\left ( \sqrt{4} * \sqrt{9} \right )=$

Possible Answers:

Correct answer:

Explanation:

First, find the square root for each:

$\sqrt{4}=2$

$\sqrt{9}=3$

Then insert these into the equation and solve:

$4 \left ( 2*3 \right )=$

4*6=24

The answer is 24.

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Example Question #9 : Isee Middle Level (Grades 7 8) Mathematics Achievement

$\frac{12\sqrt{121}}{\sqrt{16}}=$

Possible Answers:

Correct answer:

Explanation:

First, find the square root for each number:

$\sqrt{121} = 11$

$\sqrt{16}=4$

Then, insert these square roots into the equation and solve accordingly:

$\frac{12\left ( 11 \right )}{4} =$

$\frac{132}{4}=33$

The answer is 33.

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Example Question #5 : Squares / Square Roots

$\sqrt{81}*\sqrt{25}*\sqrt{49}=$

Possible Answers:

155

315

Correct answer:

315

Explanation:

First, find the square root of each number:

$\sqrt{81 } = 9$

$\sqrt{25}=5$

$\sqrt{49}=7$

Solve the equation accordingly:

9*5*7=315

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All ISEE Middle Level Math Resources

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

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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 #1 : Squares / Square Roots

Example Question #2 : Squares / Square Roots

Example Question #1 : How To Find The Square Root

Example Question #3 : Squares / Square Roots

Example Question #4 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #4 : Squares / Square Roots

Example Question #1 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #7 : Squares / Square Roots

Example Question #9 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #5 : Squares / Square Roots

All ISEE Middle Level Math Resources

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