DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 99)

Problem 1 :

Triangle ABC is inscribed in a circle with a radius of 85. The length of AC is 170 and the length of BC is 168. What is the value of AB/BC?

Solution :

Problem 2 :

The table shows the distribution of FTC complaints categorized by payment method and the dollar value of all transactions made under each method. 

If an FTC complaint is chosen at random, which of the following is closest to the probability that the complaint is related to the payment method whose transactions accounted for the highest dollar value?

A)  0.05

B)  0.16

C)  0.30

D)  0.46

Solution :

Problem 3 :

In the figure above, A and B are points on the circle C. If the area of the circle is 54π. What is the area of the sector formed by central angle ACB?

A)  10π

B)  12π

C)  14π

D)  16π

Solution :

Problem 4 :

The figure above shows a metal ring with two square faces and a thickness of 0.5 cm. The square faces have a side length of 2.5 cm and the circular hole has a diameter of 2 cm. Which of the following is closest to the volume, in cubic centimeters, of the metal used to form the ring?

A)  1.07

B)  1.55

C)  2.14

D)  3.11

Solution :

Problem 5 :

In the xy-plane, line ℓpasses through (0,0) and is perpendicular to the line 3x + y = c, where c is a constant. If the two lines intersect at point (k, k - 4), what is the value of k?

A)  4

B)  6

C)  8

D)  10

Solution :

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