DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 207)

Problem 1 :

y = f(x)

y = k

In the system of equations above, k is a constant. The function y = f(x) is shown in the xy-plane above for -8 ≤ x ≤ 14. On this closed interval, for how many values of k does the system have exactly 4 solutions?

A)  1

B)  2

C)  3

D)  4

Solution :

Problem 2 :

In the figure above, O and P are the centers of the circles. If the lengths of radii of the circles are each 10, what is the area of the shaded region?

A)  50√3

B)  25√3

C)  25√3/2

D)  25√3/4

Solution :

Problem 3 :

In the xy-plane, the graph of the function is a line with a slope of 5. If f(a) = -4 and f(b) = 32, what is the value of b – a?

A)  6

B)  7.2

C)  8

D)  8.4

Solution :

Problem 4 :

A trapezoid ADCB is in the xy-plane above. If AD = BC, what is the slope of AD?

Solution :

Problem 5 :

Let a and b are positive integers such that a/b = 0.48. If 150 < b < 200, what is the value of a + b?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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