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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #6 : How To Find The Square Root

Which of the following statements is true about $\sqrt{441}$ ?

Possible Answers:

$\sqrt{441} = 21$

$\sqrt{441} = 19$

$19 < \sqrt{441} < 20$

$20 < \sqrt{441} < 21$

$21 < \sqrt{441} < 22$

Correct answer:

$\sqrt{441} = 21$

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since $21 \cdot 21 = 441$ , $\sqrt{441} = 21$ .

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Example Question #6 : How To Find The Square Root

Which of the following statements is true about $\sqrt{ 231}$ ?

Possible Answers:

$17 <\sqrt{ 231} < 18$

$16 <\sqrt{ 231} < 17$

$\sqrt{ 231} = 17$

$15 <\sqrt{ 231} < 16$

$\sqrt{ 231} = 19$

Correct answer:

$15 <\sqrt{ 231} < 16$

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since $15 \cdot 15 = 225$ , $16 \cdot 16 = 256$ , and

$15^{2} = 225 < 231 < 256 = 16^{2}$

then

$15 = \sqrt{225 }< 231 <\sqrt{ 256} = 16$

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Example Question #2111 : Ssat Middle Level Quantitative (Math)

Evaluate:

$\sqrt{169}$

Possible Answers:

Correct answer:

Explanation:

The square root of a number is the number which, when multiplied by itself, yields that number. Since $13 \cdot 13 = 169$ , $\sqrt{169} = 13$ .

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Example Question #9 : How To Find The Square Root

Which of the following statements is true about $\sqrt{-225}$ ?

Possible Answers:

$\sqrt{-225} = -15$

$\sqrt{-225}$ is undefined in the set of real numbers.

$-17 < \sqrt{-225} < -16$

$-15 < \sqrt{-225} < -14$

$-16 < \sqrt{-225} < -15$

Correct answer:

$\sqrt{-225}$ is undefined in the set of real numbers.

Explanation:

A negative number does not have a real square root, so this is the correct choice.

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Example Question #10 : How To Find The Square Root

A square has an area of $16\ ft^{2}$ .

How long is each of its sides?

Possible Answers:

Correct answer:

Explanation:

The two sides of the square must be the same length, and multiply to give 16. So we are looking for the $\sqrt{16}$ which is .

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Example Question #2116 : Ssat Middle Level Quantitative (Math)

Evaluate:

$\sqrt{121} + \sqrt{49}$

Possible Answers:

Correct answer:

Explanation:

$11 ^{2 } = 11 \times 11 = 121$ , so $\sqrt{121} = 11$ .

$7 ^{2 } = 7 \times 7 = 49$ , so $\sqrt{49} = 7$ .

$\sqrt{121} + \sqrt{49} = 11 + 7 = 18$

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Example Question #12 : Squares / Square Roots

Let $N = \sqrt{7^{2}-5^{2}-3^{2}}$

Then which of the following statements is correct?

Possible Answers:

2< N <3

3 < N < 4

N = 2

N = 3

1< N <2

Correct answer:

3 < N < 4

Explanation:

$N = \sqrt{7^{2}-5^{2}-3^{2}} = \sqrt{49-25-9} = \sqrt{24-9} = \sqrt{15}$

9 < 15 < 16 , so

$\sqrt{9} < \sqrt{15} < \sqrt{16}$

3 < N < 4

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Example Question #2112 : Ssat Middle Level Quantitative (Math)

Let $N = \sqrt{10 \times 20 + 7 \times 8}$

Which of the following is a true statement?

Possible Answers:

N = 14

N = 16

15 <N< 16

14 <N< 15

N = 15

Correct answer:

N = 16

Explanation:

$N = \sqrt{10 \times 20 + 7 \times 8}= \sqrt{200 + 56}= \sqrt{256}$

Since 16^2 = 256 , $N = \sqrt{256} = 16$

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Example Question #13 : Squares / Square Roots

Which of the answer choices is equivalent to $2\sqrt{3}$ ?

Possible Answers:

$\sqrt{9}$

$\sqrt{18}$

$\sqrt{6}$

$\sqrt{12}$

$\sqrt{36}$

Correct answer:

$\sqrt{12}$

Explanation:

can also be written as $\sqrt{4}$ , so $2\sqrt{3}$ can also be written as $\sqrt{4\cdot 3}$ , or $\sqrt{12}$ .

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Example Question #12 : How To Find The Square Root

What is the square root of ?

Possible Answers:

2401

Correct answer:

Explanation:

The square root of is , since $7\cdot7=49$ .

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All SSAT Middle Level Math Resources

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #6 : How To Find The Square Root

Example Question #6 : How To Find The Square Root

Example Question #2111 : Ssat Middle Level Quantitative (Math)

Example Question #9 : How To Find The Square Root

Example Question #10 : How To Find The Square Root

Example Question #2116 : Ssat Middle Level Quantitative (Math)

Example Question #12 : Squares / Square Roots

Example Question #2112 : Ssat Middle Level Quantitative (Math)

Example Question #13 : Squares / Square Roots

Example Question #12 : How To Find The Square Root

All SSAT Middle Level Math Resources

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