DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 178)

Problem 1 :

A semicircle is shown in the xy-plane above. If the semicircle intersects the y-axis at point R, what is the value of b?

A)  3

B)  4

C)  5

D)  6

Solution :

Problem 2 :

x² + (k + 1)x + 16 = (x + h)²

In the equation above, k and h are positive constants. If the equation is true for all real numbers of x, what is the value of k?

Solution :

Problem 3 :

In the right triangle above, the value of sin C is 0.6 and the length of BC is 20. What is the length of AD?

A)  7.2

B)  8.0

C)  9.6                 

D)  10

Solution :

Problem 4 :

Squares ABCD and DEFG with integer-length sides of b and a respectively are shown in the figure above. If the area of the shaded region is 28, what is the area of the square ABCD?

Solution :

Problem 5 :

In the xy-plane above, points A and B lie on line ℓ. If AB = 5, what is the y-intercept of the line?

A)  (0, 5/2)

B)  (0, 8/3)

C)  (0, 3)

D)  (0, 10/3)

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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