SAT2-MATHEMATICS Online Practice Questions and Answers

Correct Answer: D

The order of the four songs is important. The orderings A, B, C, D and A, C, B, D contain the same four songs, but in different orders. Both orderings must be counted. The number of six-choose-four orderings is equal to (6)(5)(4)(3)= 360.

Correct Answer: A

The statement "Raphael runs every Sunday" is equivalent to "If it is Sunday, Raphael runs." The contrapositive of a true statement is also true. The contrapositive of "If it is Sunday, Raphael runs" is "If Raphael does not run, it is not Sunday."

Correct Answer: D

The midpoint of a line is equal to the average x-coordinates and the average y-coordinates of the line's endpoints:

The other endpoint of this line is at (9,–1).

Correct Answer: D

Explanation:

If Carlos buys ten balloons, he will pay (10)($0.90) = $9. In order to total 2,000 balloons, Carlos will have to make this purchase 2,000/10 = 200 times. It will cost him a total of (200)($9) = $1,800. If Carlos buys 1,000 balloons, he will pay (1,000)($0.60) = $600. In order to total 2,000 balloons, Carlos will have to make this purchase 2,000/1,000 = 2 times. It will cost him a total of (2)($600) = $1,200. It will save Carlos $1,800 – $1,200 = $600 to buy the balloons 1,000 at a time.

Correct Answer: C

Explanation:

Triangle AOB is isosceles because line OA is congruent to line OB. Angles A and B are both 55 degrees, which means that angle O = 180 – (55 + 55) = 70 degrees. Angle O is a central angle and arc CD is its intercepted arc. A central angle and its intercepted arc are equal in measure, so the measure of arc CD is 70 degrees.

Correct Answer: B

The positive factors of 180 (the positive numbers that divide evenly into 180) are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. Of these numbers, 8 (6, 12, 18, 30, 36, 60, 90, and 180) are multiples of 6.

Correct Answer: A

First, use the distance formula to form an equation that can be solved for m:

Correct Answer: B

The midpoint of a line is equal to the average of the x- and y-coordinates of its endpoints. The average of the x-coordinates

The average of the y-coordinates The midpoint of this line is at (3, -4).

Correct Answer: A

The measure of an exterior angle of a triangle is equal to the sum of the two interior angles of the triangle to which the exterior angle is NOT supplementary. Angle i is supplementary to angle g, so the sum of the interior angles e and f is equal to the measure of angle

Correct Answer: E

The volume of a cylinder is equal to h, where r is the radius of the cylinder and h is the height of the cylinder. If the height of a cylinder with a volume of 486 cubic units is six units, then the radius is equal to:

A cylinder has two circular bases. The area of a circle is equal to r2, so the total area of the bases of the cylinder is equal to 2r2, or 2(9)2 = 2(81) = 162 square units.