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 :
Digital SAT Problems and Solutions (Part - 1)
Digital SAT Problems and Solutions (Part - 2)
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