All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #1 : Other Quadrilaterals
Three of the interior angles of a quadrilateral measure , , and . What is the measure of the fourth interior angle?
This quadrilateral cannot exist.
The measures of the angles of a quadrilateral have sum . If is the measure of the unknown angle, then:
The measure of the fourth angle is .
Example Question #2 : Quadrilaterals
In a certain quadrilateral, three of the angles are , , and . What is the measure of the fourth angle?
A quadrilateral has four angles totalling . So, first add up the three angles given. The sum is . Then, subtract that from 360. This gives you the missing angle, which is .
Example Question #2 : Other Quadrilaterals
The angles of Quadrilateral A measure
The angles of Pentagon B measure
Which is the greater quantity?
(A)
(B)
(A) and (B) are equal
(B) is greater
(A) is greater
It is impossible to determine which is greater from the information given
(B) is greater
The sum of the measures of the angles of a quadrilateral is ; the sum of the measures if a pentagon is . Therefore,
and
, so (B) is greater.
Example Question #3 : Quadrilaterals
Three of the interior angles of a quadrilateral measure , , and . What is the measure of the fourth interior angle?
This quadrilateral cannot exist.
The measures of the angles of a quadrilateral have sum . If is the measure of the unknown angle, then:
The measure of the fourth angle is .
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