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

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

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Example Questions

Example Question #11 : How To Find The Square Root

Which of the answer choices is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

Recognize that . Since , we can move the  outside of the radical sign. This leaves us with .

Example Question #2121 : Ssat Middle Level Quantitative (Math)

Possible Answers:

14

10

0

13

56

Correct answer:

14

Explanation:

If , then .

Therefore, .

Example Question #13 : How To Find The Square Root

Evaluate: 

Possible Answers:

 is undefined.

Correct answer:

Explanation:

To find the square root of a fraction, extract the square root of both the numerator and the denominator. Since , and since .

Combine these results:

Example Question #14 : How To Find The Square Root

Evaluate: 

Possible Answers:

 is an undefined quantity.

Correct answer:

Explanation:

, so 

.

The square root of a fraction can be determined by taking the square roots of both numerator and denominator. Since , and since . Therefore, 

.

Example Question #13 : Squares / Square Roots

Note: The square root of a number is the number times itself. For example the square root of 4 is 2 because 2 x 2 = 4 or 2 squared is 4.

Find the square root of 

.

Possible Answers:

Correct answer:

Explanation:

So we are looking for a number that when it is squared is equal to 144. At this point you have to take some guesses. 

Your getting closer

So it must be between 11 and 13, lets try 12.

So 12 is the answer.

Example Question #21 : How To Find The Square Root

If a square garden has an area of , what is the length of its sides?

Possible Answers:

Correct answer:

Explanation:

To find the area of a square, you must square the length of its sides.  So to move backwards to find the side length, you must find the square root of the area.  The  so the side length is .

Example Question #21 : Squares / Square Roots

Possible Answers:

Correct answer:

Explanation:

We must first simplify all of the square roots. 

Because 7 times 7 =49

Because 4 times 4 =16

Because 5 times 5 = 25

Now we plug all of these into the original equation to get: 

The answer is 6!

Example Question #21 : How To Find The Square Root

Possible Answers:

Correct answer:

Explanation:

First we must simplify the square roots. 

Because 8 times 8 = 64

Because 2 times 2 = 4

Now we have: 

When two parentheses are beside each other, that means muliply. 

Example Question #22 : How To Find The Square Root

Possible Answers:

Correct answer:

Explanation:

First we must simplify what is inside the brackets.

Because 4 times 4 = 16. 

Now we have: 

Again, because 4 times 4 =16. 

We can also see that the square root and the squared are inverse operations which mean that they undo each other to get the same thing that we started with. 

Example Question #25 : Squares / Square Roots

Possible Answers:

Correct answer:

Explanation:

We must first simplify what is in (). 

Since the square root of 25 = 5, we can replace that with 5 to get. 

So everything in the () is replaced with (-2)

We know that the square root of 100 equals 10, so we can replace that. 

Which simplifies to become: 

Which givs us the final answer which is: 

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