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Exam Name: Section Two : Mathematics
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SAT-Mathematics Best Study Material Total Q&A: 160 Questions and Answers
Last Update: 2017-05-02
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NO.1 In the diagram above, what is the area of the rectangle?
A. 8ab square units
B. 6ab square units
C. 16b square units
D. 9b2 square units
E. 12ab square units
Answer: A
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Explanation/Reference:
The y-axis divides the rectangle in half. Half of the width of the rectangle is a units to the left of the y-
axis
and the other half is a units to the right of the y-axis. Therefore, the width of the rectangle is 2a units.
The
length of the rectangle stretches from 3b units above the x-axis to b units below the x-axis.
Therefore, the
length of the rectangle is 4b units. The area of a rectangle is equal to lw, where l is the length of the
rectangle and w is the width of the rectangle. The area of this rectangle is equal to (2a) (4b) = 8ab
square
units.
NO.2 In the diagram above, if angle OBE measures 110 degrees, what is the measure of arc AC?
A. 55 degrees
B. 40 degrees
C. 80 degrees
D. cannot be determined
E. 20 degrees
Answer: B
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Explanation/Reference:
Angles OBE and DBO form a line. Since there are 180 degrees in a line, the measure of angleDBOis180
1 10= 70 degrees. OB and DO are radii, which makes triangle DBO isosceles, and angles ODB and DBO
congruent. Since DBO is 70 degrees, ODB is also 70 degrees, and DOB is 180 (70 + 70) =180 140 = 40
degrees. Angles DOB and AOC are vertical angles, so the measure of angle AOC is also 40 degrees.
Angle AOC is a central angle, so its intercepted arc, AC, also measures 40 degrees.