DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 222)

Problem 1 :

Yellow Cab of Charleston charges $5.00 for the first two miles and 50 cents for each additional 1/5 of a mile. If Peter paid Yellow Cab $25.00 for his trip, how many miles did he travel for the trip?

A)  6 miles

B)  8 miles

C)  10 miles

D)  12 miles

Solution :

Problem 2 :

In the rectangle ABCD above, AB = 8, BE = 4, FD = 6, and BC = 20. If BD and EF intersect at point G, What is the area of the shaded region?

A)  18.4

B)  20.8

C)  36.8

D)  41.6

Solution :

Problem 3 :

In the figure above, three identical circles are tangent to each other and are inscribed in a larger circle. AB is the diameter of the larger circle. If the area of the shaded region is 15, what is the area of the larger circle?

A)  27

B)  39.2

C)  42

D)  45

Solution :

Problem 4 :

In the xy-plane above, vertices of triangle ABC are lying on the graph of y = -x² + k, where k is a constant. If the area of triangle ABC is 27, what is the value of k?

A)  3

B)  9

C)  18

D)  27

Solution :

Problem 5 :

The sum of four numbers is 2,835. One of the numbers, a, is 25% more than the sum of the other three numbers. What is the average of the other three numbers?

A)  365

B)  420

C)  475

D)  600

Solution :

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