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 #861 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
(a) The number of inches in 
(b) The number of ounces in 
(a) and (b) are equal
(a) is the greater quantity
It is impossible to determine which is greater from the information given
(b) is the greater quantity
(a) and (b) are equal
One foot comprises twelve inches, so multiply the number of feet by conversion factor 12:
One pound comprises sixteen ounces, so multiply the number of ounces by conversion factor 16:
The two quantities are both equal to 
Example Question #862 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Which is the greater quantity?
(a) The number of inches in 
(b) The number of days in 
(a) is the greater quantity
(b) is the greater quantity
(a) and (b) are equal
It is impossible to determine which is greater from the information given
(b) is the greater quantity
One yard comprises thirty-six inches, so multiply the number of yards by conversion factor 36:
One week comprises seven days, so multiply the number of weeks by conversion factor 7:
(b) is the greater quantity, since, if 
Example Question #863 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Evaluate 
Example Question #863 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
The ratio of 10 to 14 is closest to what value?
0.24
0.57
0.04
0.71
0.71
Another way to express ratios is through division. 10 divided by 14 is approximate 0.71.
Example Question #864 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
If 
A quotient is the result of division. If 
Example Question #864 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
(A)
(B)
(A) is greater
(A) and (B) are equal
It is impossible to tell which is greater from the information given
(B) is greater
(B) is greater
Since the quotient of negative numbers is positive, both results will be positive.
We can rewrite both of these as products of positive numbers, as follows:
making (B) greater.
Example Question #865 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
(A)
(B)
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(B) is greater
(A) is greater
(A) is greater
Since the quotient of negative numbers is positive, both results will be positive.
We can rewrite both of these as quotients of positive numbers, as follows:
Since the expressions have the same dividend and the second has the greater divisor, the first has the greater quotient.
Therefore, (A) is greater.
Example Question #866 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Let 
(A)
(B)
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(A) is greater
(B) is greater
(B) is greater
The quotient of two negative numbers is positive. The expressions can be rewritten as follows:
Both expressions have the same dividend; the second has the lesser divisor so it has the greater quotient. This makes (B) greater.
Example Question #867 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
When evaluating the expression
assuming you know the values of all five variables, what is the second operation that must be performed?
Squaring
Division
Multiplication
Subtraction
Addition
Subtraction
In the order of operations, any expression within parentheses must be performed first. Between the parentheses, there are two operations, an exponentiation (squaring), and a subtraction. By the order of operations, the exponentiation is performed first; the subtraction is performed second, making this the correct response.
Example Question #7 : How To Divide Variables
Which is the greater quantity?
(a) The reciprocal of
(b) The reciprocal of
(a) is the greater quantity
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) and (b) are equal
(b) is the greater quantity
Since 
by the Multiplication Property of Inequality,
That is, the reciprocal of 
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