ISEE Upper Level Quantitative : ISEE Upper Level (grades 9-12) Quantitative Reasoning
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All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #881 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Which is the greater quantity?
(A)
(B)
(B) is greater
(A) is greater
(A) and (B) are equal
It is impossible to determine which is greater from the information given
It is impossible to determine which is greater from the information given
Which quantity is the greater depends on the value of 
Case 1:
Then
and
Subsequently, (A) is greater
Case 2:
Then
and
Subsequently, (B) is greater
Example Question #2 : How To Add Variables
Evaluate for 
Substitute and evaluate, remembering that in order of operations, squaring comes before adding:
Example Question #881 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Which of the following is the greater quantity?
(A)
(B)
(A) and (B) are equal
(A) is greater
It is impossible to determine which is greater from the information given
(B) is greater
(B) is greater
(A) Substitute and evaluate, remembering that by order of operations, squaring precedes addition:
(B) Substitute and evaluate
(B) is greater
Example Question #882 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
(A)
(B)
(B) is greater
(A) and (B) are equal
(A) is greater
It is impossible to determine which is greater from the information given
(B) is greater
Since 
Also, 
making (B) greater.
Example Question #204 : Algebraic Concepts
(A)
(B)
(A) and (B) are equal
(A) is greater
It is impossible to determine which is greater from the information given
(B) is greater
It is impossible to determine which is greater from the information given
The values of both terms depend on the value of 
Case 1:
Case 2:
Therefore, the information given is insufficient.
Example Question #883 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
When evaluating the expression
assuming you know the values of all five variables, what is the third operation that must be performed?
Multiplication
Addition
Subtraction
Squaring
Division
Multiplication
The operation that must be performed first is the operation in parentheses, which is the division.
After this, the order of operations is:
Exponents
Multiplication and division (left to right)
Addition and subtraction (left to right)
The second thing that must be done is the exponentiation - the squaring. Of the three remaining operations, the multiplication takes precedence. The correct response is multiplication.
Example Question #5 : How To Add Variables
The Fibonacci sequence is defined as follows:
For integers 
Which is the greater quantity?
(a) The sum of 
(b)
(b) is greater
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(a) is greater
(a) and (b) are equal
Using the definition of the sequence for all terms beginning with the third, substitute 778 for 
The two quantities are equal.
Example Question #44 : Operations
(A)
(B)
(b) is the greater quantity
(a) and (b) are equal
(a) is the greater quantity
It cannot be determined which of (a) and (b) is greater
(b) is the greater quantity
and
Example Question #45 : Operations
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
It cannot be determined which of (a) and (b) is greater
(b) is the greater quantity
(a) is the greater quantity
It cannot be determined which of (a) and (b) is greater
By examining two scenarios, we see that we cannot determine which is the greater quantity.
Case 1:
Then
and
This makes (a) the greater quantity.
Case 2:
Then
and
This makes (b) the greater quantity.
Example Question #884 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
It cannot be determined which of (a) and (b) is greater
(b) is the greater quantity
(a) is the greater quantity
(a) and (b) are equal
The expressions 
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All ISEE Upper Level Quantitative Resources
