DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 2)

Problem 1 :

A random sample of 5,000 students out of 60,000 undergraduate students at a university were surveyed about a potential change to the registration system. According to the survey results, 75% of the respondents did not support the existing registration system, with a 4% margin of error. Which of the following represents a reasonable total number of students who did not support the existing registration system ?

A)  1,250

B)  3,750

C)  13,800

D)  43,800

Solution :

Problem 2 :

After a hot air balloon is launched from a plateau 1,000 meters above sea level, it rises at a constant rate of 750 meters per minute. Which of the following best describes the function used to model the balloon’s distance above sea level over time ?

A)  Increasing linear

B)  Increasing exponential

C)  Decreasing linear

D)  Decreasing exponential

Solution :

Problem 3 :

What is the x-intercept of the function f(x) = (22)^x – 1 when it is graphed in the xy-plane, where y = f(x) ?

A)  (-1, 0)

B)  (0, 0)

C)  (21, 0)

D)  (22, 0)

Solution :

Problem 4 :

In parallelogram ABCD shown above, the length of AB is one-third the length of AD. The perimeter of the parallelogram is 64. What is the length of AB ?

A)  8

B)  16

C)  24

D)  32

Solution :

Problem 5 :

A triangle with an area of 18 square units has a base of (m + 5) units and a height of m units. What is the value of m ?

A)  4

B)  9

C)  13

D)  36

Solution :

Problem 6 :

If x⁸y⁷ = 333 and x⁷y⁶ = 3, what is the value of xy?

Solution :

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