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 :

Problem 6 :

If Claire paid k dollars for a computer that was only 20 dollars more than half the original price, what was the original price, in dollars?

A)  k + 20

B)  k - 40

C)  2k - 20

D)  2k - 40

Solution :

Problem 7 :

Jenny is in school swim team and has swim practice m hours in the morning and p hours in the evening each day. The schedule is the same each day. If she swims k hours for five days, which of the following is the expression for m?

A)  ⁽ᵏ ⁻ ᵖ⁾⁄₅

B)  ⁽ᵏ ⁻ ⁵ᵖ⁾⁄₅

C)  k - 5p

D)  5(k - p)

Solution :

Problem 8 :

In the figure above, each of two circles has the same center O. If OP : OQ = 3 : 5 and the area of the shaded region is 40, what is the area of the larger circle?

Solution :

Problem 9 :

f(x) = ax² + bx + c

In the function f above, f(0) = 10 and f(-1) = 18. What is the value of (a - b)?

Solution :

Problem 10 :

In the figure above, D and E are the midpoints of AB and BC respectively. If the area of the shaded is 42, what is the area of triangle ABC?

Solution :

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