DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 206)

Problem 1 :

In the figure above, the circles are tangent each other and the radii are in a ratio 1 : 2. If the sum of their areas is 80π, what is the length of AB?

A)  12

B)  16

C)  18

D)  24

Solution :

Problem 2 :

In right triangle ABC above, AD = 10 and BC = 25. If the value of sin∠BCD is 0.6, what is the area of triangle BCD?

A)  50

B)  75

C)  100

D)  150

Solution :

Problem 3 :

In p = a² – 4a + 8, what is the least possible value of p + 6?

A)  2

B)  4

C)  8

D)  10

Solution :

Problem 4 :

Which of the following functions could represent the graph of y = f(x) shown in the xy-plane above?

A)  f(x) = ⅓(x - 3)(x² - 4x + 3)

B)  f(x) = -⅓(x - 3)(x² - 2x - 3)

C)  f(x) = -⅓(x + 3)(x² + 4x + 3)

D)  f(x) = -⅓(x + 3)(x² - 4x + 3)

Solution :

Problem 5 :

In the xy-plane above, a circle is tangent to the x-axis at R and the y-axis at P, and line ℓ passes through the points of tangency. If the area of the circle is 100π, what is the equation of line ℓ?

A)  y = -x + 5

B)  y = -x + 10

C)  y = -x + 50

D)  y = -x + 100

Solution :

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