All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #631 : Isee Middle Level (Grades 7 8) Quantitative Reasoning
Note: Figure NOT drawn to scale
The above figure shows Square .
Which is the greater quantity?
(a) The area of Trapezoid
(b) The area of Trapezoid
Possible Answers:
(b) is the greater quantity
It is impossible to determine which is greater from the information given
(a) is the greater quantity
(a) and (b) are equal
Correct answer:
(a) is the greater quantity
Explanation:
The easiest way to answer the question is to locate on
such that
:
Trapezoids and
have the same height, which is
. Their bases, by construction, have the same lengths -
and
. Therefore, Trapezoids
and
have the same area.
Since , it follows that
, and
. It follows that Trapezoid
is greater in area than Trapezoids
and
, and Trapezoid
is less in area.
Gregory
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Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...
All ISEE Middle Level Quantitative Resources
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