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 #51 : How To Find The Solution To An Equation
Consider the line of the equation 
Which is the greater quantity?
(a) The slope of this line
(b) The slope of a line perpendicular to this line.
(a) is greater
(b) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(a) is greater
The slope of the line can be found by rewriting it in slope-intercept form:
The slope of this line is the coeffcient of 
Example Question #52 : How To Find The Solution To An Equation
Define an operation 
For every real 
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
(a) is greater
(b) is greater
It is impossible to tell from the information given
(a) is greater
(a)
(b)
Example Question #53 : How To Find The Solution To An Equation
Quantity A: The number of days in 
Quantity B: The number of hours in 
Quantity B is greater.
The two quantities are equal.
Quantity A is greater.
There is not enough information to determine the relationship of the quantities.
Quantity A is greater.
Multiplying 
Example Question #51 : Algebraic Concepts
Jim has quarters and nickles that together total 
If Jim has 
The easiest way to solve this problem is to plug in the answer choices. If we plug in 
Example Question #51 : Equations
Quantity A: The mean of 
Quantity B: The mean of 
Quantity B is greater.
Quantity A is greater.
The two quantities are equal.
The relationship of the quantities cannot be determined from the information provided.
Quantity B is greater.
To find the mean, sum the terms and divide by the number of terms in the set.
Quantity A:
Quantity B:
Quantity B is larger.
Example Question #60 : Algebraic Concepts
When 
Cannot be determined
Cannot be determined
Pick a number for 
33 divided by 15 leaves a remainder of 3. 33 divided by 7 leaves a remainder of 5.
Let's try another number as well.
48 divided by 15 leaves a remainder of 3. 48 divided by 7 leaves a remainder of 6, which is different from the remainder left by 33.
Similarly, 63 divided by 15 leaves a remainder of 3. 63 divided by 7 leaves no remainder at all. Therefore, the answer cannot be determined.
Example Question #61 : How To Find The Solution To An Equation
In an aquarium, the ratio of sharks to clown fish is 
Set up a proportion, where 
Cross multiply:
Distribute:
Combine like terms:
Divide both sides of the equation by 5:
There are 64 sharks.
Example Question #62 : How To Find The Solution To An Equation
In June, a company had a profit of 
The profit in July is twice the profit in June, or $6 million.
Because profits rise by 15% in August, August's profit is really 115% of July's profit:
Similarly, September's profit is 115% of August's profit:
Example Question #63 : How To Find The Solution To An Equation
Evaluate 
Subtract expressions:
or
Example Question #64 : How To Find The Solution To An Equation
If 
It is impossible to tell from the information given.
All ISEE Upper Level Quantitative Resources
