All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #1 : How To Find The Square Root
Give the square root of 256.
- 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)
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given
(b) is greater
(b) is greater
, so
, so
Example Question #3 : How To Find The Square Root
Which is the greater quantity?
(a)
(b)
(a) is greater
(a) and (b) are equal
It is impossible to tell from the information given
(b) is greater
(b) is greater
(a) , so
(b) , so
,
so
,
and
Example Question #3 : How To Find The Square Root
Column A Column B
The quantities are equal.
The quantity in Column A is greater.
The quantity in Column B is greater.
There is no relationship between the quantities.
The quantity in Column A is greater.
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 #4 : How To Find The Square Root
Which of the following is equal to ?
None of the other responses is correct.
Example Question #6 : How To Find The Square Root
Which of the following is equal to ?
None of the other responses is correct.
Example Question #5 : How To Find The Square Root
Which of the following is equal to ?
None of the other responses is correct.
Example Question #8 : How To Find The Square Root
;
is positive.
Which is the greater quantity?
(a)
(b)
(B) is greater
It is impossible to tell which is greater from the information given
(A) is greater
(A) and (B) are equal
(A) is greater
Since is positive, we can compare
to 8 by comparing their squares.
and
, so
, making (A) greater.
Example Question #6 : How To Find The Square Root
Which is the greater quantity?
(A)
(B)
(A) and (B) are equal
(B) is greater
(A) is greater
It is impossible to tell which is greater from the information given
It is impossible to tell which is greater from the information given
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 #7 : How To Find The Square Root
Which is the greater quantity?
(A)
(B)
It is impossible to tell which is greater from the information given
(B) is greater
(A) is greater
(A) and (B) are equal
(A) is greater
If , then one of two things is true - either
or
. Since
and
,
either way, so (A) is greater.
All ISEE Middle Level Quantitative Resources
