QUESTION: 81

If m < n < 0, then all of the following are true EXCEPT

Option A
Option B
Option C
Option D
Option E

Answer(s): A

Explanation:

If m < n <0, then m and n are both negative numbers, and m is more negative than n. Therefore, -m will be more positive (greater) than-m, so the statement m< -n cannot be true.

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QUESTION: 82

The area of a circle is equal to four times its circumference. What is the circumference of the circle?

units
16 units
48 units
64 units
cannot be determined

Answer(s): B

Explanation:

If r is the radius of this circle, then the area of this circle, r2, is equal to four times its circumference, 2r: r2= 4(2r), r2= 8r, r2= 8r, r= 8 units. If the radius of the circle is eight units, then its circumference is equal to 2(8) = 16 units.

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QUESTION: 83

If the statement "All students take the bus to school" is true, then which of the following must be true?

If Courtney does not take the bus to school, then she is not a student.
If Courtney takes the bus to school, then she is a student.
If Courtney is not a student, then she does not take the bus.
all of the above
none of the above

Answer(s): A

Explanation:

Since all students take the bus to school, anyone who does not take the bus cannot be a student. If Courtney does not take the bus to school, then she cannot be a student. However, it is not necessarily true that everyone who takes the bus to school is a student, nor is it necessarily true that everyone who is not a student does not take the bus. The statement "All students take the bus to school" does not, for instance, preclude the statement "Some teachers take the bus to school" from being true.

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QUESTION: 84

In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH. If the diameter of circle O is 24 in, what is the measure of angle BGH?

30 degrees
45 degrees
60 degrees
75 degrees
cannot be determined

Answer(s): A

Explanation:

Lines OF and OE are radii of circle O and since a tangent and a radius form a right angle, triangles OFH and OGE are right triangles. If the length of the diameter of the circle is 24 in, then the length of the radius is 12 in. The sine of angle OHF is equal to12/24, or1/2. The measure of an angle with a sine of1/2is 30 degrees. Therefore, angle OHF measures 30 degrees. Since angles BGH and OHF are alternating angles, they are equal in measure. Therefore, angle BGH also measures 30 degrees.

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Free SAT Section 2: Mathematics Exam Braindumps (page: 21)

QUESTION: 81

Explanation:

QUESTION: 82

Explanation:

QUESTION: 83

Explanation:

QUESTION: 84

Explanation: