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 #41 : Equations
The distance between Vandalia and Clark is 250 miles and is represented by six inches on a map. The distance between Vandalia and Ferrell is 125 miles.
Which is the greater quantity?
(a) The distance between Clark and Ferrell on a map
(b) Two inches
(a) is greater.
(a) and (b) are equal.
(b) is greater.
It is impossible to tell from the information given.
(a) is greater.
The actual distance between Clark and Ferrell is unknown, but it is at least 
At the very least, the two are three inches apart on the map, so (a) is greater regardless.
Example Question #45 : How To Find The Solution To An Equation
Carl starts working for a bicycle store today. He wants to buy a certain bicycle, but his 
Which is the greater quantity?
(a) The price Carl would pay for the bicycle today
(b) The price Carl would pay for the bicycle in ninety days, assuming that the bicycle does not change in price again
(a) is greater.
(b) is greater.
It is impossible to tell from the information given.
(a) and (b) are equal.
(b) is greater.
(a) Let 
(b) Now we examine what Carl would pay in ninety days. The increase would be 
The employee discount will be 
Carl would pay more by waiting ninety days.
Example Question #42 : Equations
The distance between Vandalia and Clark is 250 miles and is represented by six inches on a map. The distance between Vandalia and Ferrell is 125 miles.
Which is the greater quantity?
(a) The distance between Clark and Ferrell on a map
(b) Ten inches
It is impossible to tell from the information given.
(b) is greater.
(a) is greater.
(a) and (b) are equal.
(b) is greater.
The actual distance between Clark and Ferrell is unknown, but at most it is 
At the very most, the two are nine inches apart on the map, so (b) is greater regardless.
Example Question #43 : Equations
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) and (b) are equal.
Substitute to evaluate each expression:
(a)
(b)
Example Question #48 : How To Find The Solution To An Equation
A set of tires costs 
Which is the greater quantity?
(a) The price of the tires before the discount
(b)
(a) is greater.
It is impossible to tell from the information given.
(b) is greater.
(a) and (b) are equal.
(a) is greater.
A 
which is less than 
Example Question #49 : How To Find The Solution To An Equation
Define 
Which is the greater quantity?
(a)
(b)
(a) is greater.
(b) is greater.
(a) and (b) are equal.
It is impossible to tell from the information given.
(a) is greater.
(a)
First, evaluate 
so 
Now, evaluate 
so 
(b)
First, evaluate 
so 
Now evaluate
so 
Example Question #51 : Algebraic Concepts
Define
Which is the greater quantity?
(a)
(b)
It is impossible to tell from the information given
(b) is greater
(a) and (b) are equal
(a) is greater
(a) and (b) are equal
(a) To evaluate 
(b) To evaluate 
Example Question #52 : Algebraic Concepts
To convert Fahrenheit temperature 
Which is the greater quantity?
(a)
(b)
It is impossible to tell from the information given
(b) is greater
(a) is greater
(a) and (b) are equal
(a) and (b) are equal
Convert 
Example Question #53 : Algebraic Concepts
Define
(a)
(b)
(a) and (b) are equal
(a) is greater
(b) is greater
It is impossible to tell from the information given
It is impossible to tell from the information given
Substitute 
The relationship of this expression to 0 is uncertain for positive 
Example Question #54 : Algebraic Concepts
Carl, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Vanilla Heaven, which costs $10 a pound, and Mountain Goodness, which costs $15 a pound - to produce a coffee that costs $12 a pound. The beans in the mixture sell for the same price as they would separately.
Which is the greater quantity?
(a) The number of pounds of Vanilla Heaven beans he will use
(b) The number of pounds of Mountain Goodness beans he will use.
It is impossible to tell from the information given
(a) is greater
(b) is greater
(a) and (b) are equal
(a) is greater
Let 
We can solve for 
Two-thirds as much Mountain Goodness coffee goes into the mix as Vanilla Heaven.
All ISEE Upper Level Quantitative Resources
