ISEE Upper Level Quantitative : Pentagons
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Example Questions
Example Question #11 : Pentagons
In Pentagon 
The other four angles are congruent to one another.
What is 
It is impossible for this pentagon to exist.
The degree measures of a pentagon, which has five angles, total 
Let 
Therefore, we can set up, and solve for 
Example Question #11 : Pentagons
You are given pentagon 
Which is the greater quantity?
(A)
(B)
(A) and (B) are equal
(A) is greater
(B) is greater
It is impossible to determine which is greater from the information given
It is impossible to determine which is greater from the information given
It is impossible to tell, as scenarios can be constructed that would allow 
Case 1: The pentagon is regular, so all five angles are of the same measure:
This fits the conditions of the problem and makes the two quantities equal.
Case 2:
The sum of the angle measures is therefore
This also fits the conditions of the problem, and makes (B) greater.
Example Question #131 : Geometry
Note: Figure NOT drawn to scale
In the above figure, 
(a)
(b)
It cannot be determined which of (a) and (b) is greater
(b) is the greater quantity
(a) and (b) are equal
(a) is the greater quantity
(a) is the greater quantity
Extend 
Its exterior angle 
Its exterior angle 
Add the measures of 
All ISEE Upper Level Quantitative Resources
