Problem 1 :
In the figure above, 2b = 3c and the area of the shaded region is ⅖ the area of the rectangle. What is the slope of line ℓ ?
Solution :
Problem 2 :
In the figure above, which quadrants contain the points (x, y), that satisfy the condition 2x/y = -1?
A) II only
B) II and IV only
C) I and III only
D) I, II, III and IV only
Solution :
Problem 3 :
The figure above shows the graph of the function f(x) = x2 - k. Points A and B lie on the graph of the function and the vertices of the rectangle ABCD. If AB = 6 and the area of rectangle ABCD is 20, what is the value of k?
Solution :
Problem 4 :
The mean tire pressure of the cars at Dealer A is equal to the mean tire pressure of the cars at Dealer B. However, while the standard deviation of the tire pressures of the cars at Dealer A is 2.5 psi (pounds per square inch), the standard deviation of the tire pressures of the cars at Dealer B is 1.2 psi. Which of the following must be true?
A) The mean tire pressure of the cars at Dealer A is 1.3 psi less than the mean tire pressure of the cars at dealer B.
B) The median tire pressure of the cars at Dealer A is 1.3 psi less than the median tire pressure of the cars at dealer B.
C) The median tire pressure of the cars at Dealer A is 1.3 psi greater than the median tire pressure of the cars at dealer B.
D) The tire pressures of the cars at Dealer A are more variable than the tire pressures of the cars at dealer B.
Solution :
Problem 5 :
The base of a cylinder has a circumference of 5π. The height of the cylinder is 4. What is the volume of the cylinder?
A) 20π
B) 25π
C) 40π
D) 50π
Solution :
Digital SAT Problems and Solutions (Part - 1)
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