Digital SAT Math Problems and Solutions (Part

Problem 1 :

Point O is the center of the circle above, and the measure of ∠OAB is 30°. If the length of OC is 18, what is the length of arc AB?

A)  9π

B)  12π

C)  15π

D)  18π

Solution :

Problem 2 :

x² + 20x + y² + 16y = -20

The equation above defines a circle in the xy-plane above. What are the coordinates of the center of the circle?

A)  (-20, -16)

B)  (-10, -8)

C  (10, 8)

D)  (20, 16)

Solution :

Problem 3 :

A circle in the xy-plane has its center at (-4, -6). Line k is tangent to this circle at the point (-7, -7). What is the slope of line k?

Solution :

Problem 4 :

Two identitcal rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a square, and the surface area of each prism is K cm² . If the prisms are glued together along a square base, the resulting prism has a surface area of (⁹²⁄₄₇)K cm². What is the side length, in cm, of each square base?

A)  4

B)  8

C)  9

D)  16

Solution :

Problem 5 :

210 is p% greater than 30. What is the value of p?

Solution :

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