DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 176)

Problem 1 :

In the figure above, O is the center of the circle, measure of arc ACB is 3π/2 radians and length of the chord AB is 4√2. What is the area of ΔOAB?

Solution :

Problem 2 :

9x + 5 = a(x + b)

In the equation above, a and b are constants. If the equation has no solution, which of the following must be true?

I.  a = 9

II.  b = 5

III.  b ≠ 5/9

A)  I only

B)  II and II only

C)  I and III only

D)  I, II and III

Solution :

Problem 3 :

To earn money for college, Avery works two part-time jobs: A and B. She earns $10 per hour working at job A and $20 per hour working at job B. In one week, Avery earned a total of s dollars for working at the two part-time jobs. The graph above represents all possible combinations of the number of hours Avery could have worked at the two jobs to earn s dollars. What is the value of s?

A)  128                

B)  160                

C)  200                

D)  320

Solution :

Problem 4 :

f(x) = ax² + bx + c

In the function f above, a, b and c are constants. The graph of f is a parabola which opens down and intersects x-axis at two points. If the parabola passes through the point (0, -24), the axis of symmetry is x = 4 and a + 2b = 30, then, which of the following must be true about the function f ?

A)  f(x) = 2x² - 16x + 24

B)  f(x) = -2x² - 16x + 24

C)  f(x) = 2x² + 16x - 24

D)  f(x) = -2x² + 16x - 24

Solution :

Problem 5 :

In the figure above, O is the center of the circle, measure of arc ADC is 300°, BA is tangent to the circle and length of OB is 8. What is the area of the shaded region?

Solution :

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