DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 204)

Problem 1 :

f(x) = x²/2 - 20x + k

In the function above, k is a constant. In the xy-plane, for what value of x does f(x) have the same value of f(10)?

Solution :

Problem 2 :

In the isosceles right triangle above, AB = BC = 10√2. Points D and E are the midpoints AB and BC respectively. What is the area of the shaded region ?

Solution :

Problem 3 :

In the xy-plane above, the area of square ABCD is equal to the area of triangle CDP. What is the value of a?

Solution :

Problem 4 :

An advertising medium charges d dollars for a basic fixed fee plus c cents for every 10 letters for an advertising compaign. If 300 letters are used for an advertising compaign, which of the following expressions represents the total amount, in dollars, of the advertisement?

A)  3c/10 + d

B)  3c + d

C)  30c + d

D)  300c + d

Solution :

Problem 5 :

A right circular cylinder has a height that is 4 inches less than its radius. If the cylinder’s surface area is 896π square inches, what is its radius in inches?   

A)  8

B)  12

C)  16

D)  20

Solution :

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