DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 22)

Problem 1 :

The circle shown has center O, circumference 144π, and diameters PR and QS. The length of arc PS is twice the length of arc PQ. What is the length of arc QR?

A)  24π

B)  48π

C)  72π

D)  96π

Solution :

Problem 2 :

A company that provides whale-watching tours takes groups of 21 people at a time. The company’s revenue is 80 dollars per adult and 60 dollars per child. If the company’s revenue for one group consisting of adults and children was 1,440 dollars, how many people in the group were children?

A)  3

B)  9

C)  12

D)  18

Solution :

Problem 3 :

The function his defined by h(x) = 4x + 28. The graph of y = h(x) in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of a + b?

A)  21

B)  28

C)  32

D)  35

Solution :

Problem 4 :

One of the factors of 2x³ + 42x² + 208x is (x + b) where b is a positive constant. What is the smallest possible value of b?

Solution :

Problem 5 :

y = -1.5

y = x² + 8x + a

In the given system of equations, a is a positive constant. The system has exactly one real solution. What is the value of a?

Solution :

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