ISEE Middle Level Math : Squares / Square Roots

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

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Example Questions

Example Question #101 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle \sqrt{225}\div \sqrt{25}=

Possible Answers:

\displaystyle 200

\displaystyle 3

\displaystyle 9

\displaystyle 250

Correct answer:

\displaystyle 3

Explanation:

First, find the square root:

\displaystyle \sqrt{225}=15

\displaystyle \sqrt{25}=5

Then, solve:

\displaystyle 15\div 5=3

 

Example Question #102 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle \sqrt{100}*70=

Possible Answers:

\displaystyle 700

\displaystyle 170

\displaystyle 30

\displaystyle 7000

Correct answer:

\displaystyle 700

Explanation:

First, find the square root:

\displaystyle \sqrt{100}=10

Then, solve:

\displaystyle 10*70=700

 

Example Question #103 : How To Find The Square Root

Let \displaystyle M = \sqrt{5^{3}-4^{3} }.

Then which of the following statements is correct?

Possible Answers:

\displaystyle 6< M< 7

\displaystyle M = 1

\displaystyle 1< M< 2

\displaystyle 8< M< 9

\displaystyle 7< M< 8

Correct answer:

\displaystyle 7< M< 8

Explanation:

\displaystyle M = \sqrt{5^{3}-4^{3} } = \sqrt{125-64 } = \sqrt{61 }

 

\displaystyle 49 < 61 < 64

Therefore:

\displaystyle \sqrt{49} < \sqrt{ 61 }< \sqrt{ 64}

\displaystyle 7< M< 8

Example Question #103 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle \sqrt{144}-\sqrt{121}=

Possible Answers:

\displaystyle 1

\displaystyle 12

\displaystyle 11

\displaystyle 23

Correct answer:

\displaystyle 1

Explanation:

First, find the sqaure root:

\displaystyle \sqrt{144}=12

\displaystyle \sqrt{121}=11

Then, solve: \displaystyle 12-11=1

Example Question #104 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle \sqrt{4} *\sqrt{25}*\sqrt{16}=

Possible Answers:

\displaystyle 40

\displaystyle 50

\displaystyle 30

\displaystyle 11

Correct answer:

\displaystyle 40

Explanation:

First find the square roots:

\displaystyle \sqrt{4}=2

\displaystyle \sqrt{25}=5

\displaystyle \sqrt{16}=4

Then, solve:

\displaystyle 2\cdot 5\cdot 4=40

Answer: \displaystyle 40

Example Question #104 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle \sqrt{144}\cdot 3=

Possible Answers:

\displaystyle 15

\displaystyle 141

\displaystyle 432

\displaystyle 36

\displaystyle 12

Correct answer:

\displaystyle 36

Explanation:

First, find the sqaure root:

\displaystyle \sqrt{144}=12

Then, solve:

\displaystyle 12\cdot 3=36

Asnwer: \displaystyle 36

Example Question #105 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle 15-\sqrt{9}=

Possible Answers:

\displaystyle 24

\displaystyle 15

\displaystyle 12

\displaystyle 6

Correct answer:

\displaystyle 12

Explanation:

First, find the sqaure root:

\displaystyle \sqrt{9}=3

Then, solve:

\displaystyle 15-3=12

Answer: \displaystyle 12

Example Question #106 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle 36-\sqrt{36}=

Possible Answers:

\displaystyle 0

\displaystyle 36

\displaystyle 30

\displaystyle 72

Correct answer:

\displaystyle 30

Explanation:

First, find the square root:

\displaystyle \sqrt{36}=6

Then, solve:

\displaystyle 36-6=30

Answer: \displaystyle 30

Example Question #107 : Isee Middle Level (Grades 7 8) Mathematics Achievement

\displaystyle 49-\sqrt{49}=

Possible Answers:

\displaystyle 0

\displaystyle 49

\displaystyle 42

\displaystyle 56

Correct answer:

\displaystyle 42

Explanation:

First, find the sqaure root:

\displaystyle \sqrt{49}=7

Then, solve:

\displaystyle 49-7=42

Answer: \displaystyle 42

Example Question #108 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Which of the following is true about \displaystyle \sqrt{721} ?

Possible Answers:

\displaystyle \sqrt{721} =29

\displaystyle \sqrt{721} =31

\displaystyle 27 < \sqrt{721} < 28

\displaystyle 28 < \sqrt{721} < 29

\displaystyle 26 < \sqrt{721} < 27

Correct answer:

\displaystyle 26 < \sqrt{721} < 27

Explanation:

\displaystyle 26^{2}=676 < 721 < 729 = 27^{2}

so 

\displaystyle 26=\sqrt{676} < \sqrt{721 }< \sqrt{729} = 27

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