DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 231)

Problem 1 :

In the xy-plane above, the area of ΔOPR is 24. What is the slope of OP?

A)  4/3

B)  3/4

C)  2/3

D)  1/2

Solution :

Problem 2 :

The cylinder was altered by increasing its radius of the base by 10 percent and decreasing its height by k percent. If these alterations decreased the volume of the cylinder by 8 percent, which of the following is closest to the value of k?

A)  10

B)  12

C)  24

D)  32

Solution :

Problem 3 :

h = -16t² + 80t + 108

The equation above gives the height h, in feet, of a ball t seconds after it is thrown straight up with an initial velocity of 80 feet per second. Which of the following is true for the interval from 3 to 5 seconds?

A) The ball is moving upward at an average rate of 48 feet per second.

B) The ball is moving upward at an average rate of 96 feet per second.

C) The ball is moving downward at an average rate of 48 feet per second.

D) The ball is moving downward at an average rate of 96 feet per second.

Solution :

Problem 4 :

In the figure above, sin (a°) = cos (b°) and BC = 10. If a = 2x – 16 and b = 3x – 9, which of the following is the area of triangle ABC?

A)  25√3/2

B)  25√5/2

C)  25/2

D)  25√3

Solution :

Problem 5 :

x² + y² - 4x + 4y - 8 = 0

The graph of the equation above in the xy-plane is a circle. If the center of the circle is translated 2 units up and the radius is increased by 2, which of the following is an equation of the resulting circle?

A)  (x - 2)² + y² = 18

B)  (x - 2)² + (y + 4)² = 36

C)  (x - 2)² + y² = 36

D)  (x - 2)² + (y - 2)² = 36

Solution :

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