ISEE Upper Level Quantitative : ISEE Upper Level (grades 9-12) Quantitative Reasoning
Study concepts, example questions & explanations for ISEE Upper Level Quantitative
All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #34 : Numbers And Operations
Which one is the greater quantity:
it is not possible to tell based on the information given.
Factors of 
and the factors of 
So 
Example Question #21 : How To Factor A Number
If we consider the factors of 
It is not possible to tell based on the information given.
The median is greater
The mean is greater
The mean and the median are equal
The mean is greater
Factors of 
The mean of a set of data is given by the sum of the data, divided by the total number of values in the set:
The median is the middle value of a set of data containing an odd number of values which is 
Example Question #36 : Numbers And Operations
Which one is greater?
It is not possible to tell based on the information given.
Factors of 
The median is the middle value of a set of data containing an odd number of values, which is 
Example Question #31 : Numbers And Operations
Which one is greater?
It is not possible to tell based on the information given.
Factors of 
Factors of 
So 
Example Question #31 : Factors / Multiples
If 
Example Question #21 : Other Factors / Multiples
Which is the greater quantity?
(A)
(B) The sum of the factors of 28 except for 28 itself.
(A) is greater
(B) is greater
(A) and (B) are equal
It is impossible to determine which is greater from the information given
(A) and (B) are equal
Leaving out 28 itself, the factors of 28 are 
Example Question #391 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
(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
(A) is greater
An integer divided by 4 yields one of four remainders - 0, 1, 2, or 3. However, if the integer is even, the remainder must also be even, so it must be 0 or 2. Either way, 3 is greater, so (A) is the correct choice.
Example Question #41 : Numbers And Operations
(A) The remainder if 
(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) and (B) are equal
Since 
This can be rewritten as
Thus, 
Example Question #392 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Which is the greater quantity?
(A) 60
(B) The sum of the factors of 60 except for 60 itself.
It is impossible to determine which is greater from the information given
(A) is greater
(A) and (B) are equal
(B) is greater
(B) is greater
Leaving out 60 itself, the factors of 60 are 
This makes (B) greater.
Example Question #393 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
How many integers from 121 to 150 inclusive do not have 2, 3, or 5 as a factor?
Ten
Eleven
Nine
Seven
Eight
Eight
An integer is a multiple of 2 if and only if it ends in 2, 4, 6, 8, or 0; it is a multiple of 5 if and only if it ends in a 0 or 5. We can immediately eliminate these integers, leaving us with this set:
Of these integers, the multiples of 3 are 123, 129, 141, and 147, leaving the set:
The correct response is eight.
All ISEE Upper Level Quantitative Resources
