DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 191)

Problem 1 :

In the figire above, the center of the circle is O. The area of the shaded region is 80π and the measure of x is 2π/5 radians. What is the radius of the circle?

A)  6

B)  8

C)  9

D)  10

Solution :

Problem 2 :

Lines ℓ and m are perpendicular and intersect at point T(1, 3) as shown in the xy-plane above. If the slope of line ℓ  is 1, what is the area of ΔRST?

A)  1

B)  1.5

C)  2

D)  2.5

Solution :

Problem 3 :

The figure above shows triangle ABC. The length of AC is 10 and the altitude of the triangle is 20. If M and N are the midpoints of AB and BC respectively, what is the area of the shaded region?

Solution :

Problem 4 :

(a – 1)x² + (b – 2)x + ab = 4x² + 5x + k

In the equation above, a, b and k are constants. If the equation is true for all values of x, what is the value of k? 

Solution :

Problem 5 :

If P(x) = 2√(x - 5) + 3x, what is the minimum value of P?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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