DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 126)

Problem 1 :

In the figure above, ∠BAC = 30°, ∠BCA = 45° and AB = 8, what is the length of BC?

A)  4

B)  4√2

C)  4√3

D)  8√2

Solution :

Problem 2 :

The table above lists the resting breath rates (in breaths per minute) of 15 college-age students. If a student with a resting breath rate of 18 breaths per minute is added to the values listed, which of the following statistical measures of the data will change?

I. Mean

II. Median

III. Range

A)  I only

B)  I and II only

C)  II and III only

D)  I, II and III

Solution :

Problem 3 :

In the figure above, AB is an arc of the circle with center O. if the area of sector OAB is 96π, what is the length of arc AB?

A)  6π

B)  8π

C)  10π

D)  12π

Solution :

Problem 4 :

In the xy-plane, the points (a, 7) and (b, 12) lie on the graph of y = x² + 3. What is the minimum possible value of a + b?

A)  -5

B)  -1

C)  1

D)  5

Solution :

Problem 5 :

x² - 4x + y² + 6y = 12

The graph of the equation above in the xy-plane is a circle. What is the circumference of the circle?

A)  5π

B)  10π

C)  25π

D)  50π

Solution :

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