ISEE Middle Level Quantitative : How to find the square root

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

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Example Questions

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Example Question #1 : How To Find The Square Root

Give the square root of 256.

Possible Answers:

Correct answer:

Explanation:

 - that is, 16 squared is 256, making 16 the square root of 256 by definition.

Example Question #2 : How To Find The Square Root

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

(a) is greater

(a) and (b) are equal

It is impossible to tell from the information given

(b) is greater

Correct answer:

(b) is greater

Explanation:

 , so 

, so 

Example Question #3 : How To Find The Square Root

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

(a) and (b) are equal

(a) is greater

It is impossible to tell from the information given

(b) is greater

Correct answer:

(b) is greater

Explanation:

(a) , so  

(b) , so 

,  

so 

,

and 

Example Question #111 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Column A     Column B       

        

 

Possible Answers:

There is no relationship between the quantities.

The quantity in Column B is greater.

The quantity in Column A is greater.

The quantities are equal.

Correct answer:

The quantity in Column A is greater.

Explanation:

The square root of 100 is 10, while the square root of 10 is between the square root of 9 and 16, so about 4. Therefore, Column A has to be greater.

Example Question #112 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Which of the following is equal to  ?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

Example Question #113 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Which of the following is equal to  ?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

Example Question #6 : How To Find The Square Root

Which of the following is equal to  ?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

Example Question #114 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

 is positive.

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

(A) is greater

(B) is greater

(A) and (B) are equal

It is impossible to tell which is greater from the information given

Correct answer:

(A) is greater

Explanation:

Since is positive, we can compare  to 8 by comparing their squares. 

 and 

, so , making (A) greater.

Example Question #8 : How To Find The Square Root

Which is the greater quantity?

(A) 

(B) 

Possible Answers:

(A) and (B) are equal

(B) is greater

(A) is greater

It is impossible to tell which is greater from the information given

Correct answer:

It is impossible to tell which is greater from the information given

Explanation:

If , then one of two things is true - either  or .

However,  and , so it is impossibe to tell whether (A) or (B) is greater.

Example Question #115 : Isee Middle Level (Grades 7 8) Quantitative Reasoning

Which is the greater quantity?

(A) 

(B) 

Possible Answers:

It is impossible to tell which is greater from the information given

(A) is greater

(B) is greater

(A) and (B) are equal

Correct answer:

(A) is greater

Explanation:

If , then one of two things is true - either  or . Since  and  either way, so (A) is greater.

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