DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 250)

Problem 1 :

Stephen wins the lottery and decides to donate 30% of his winnings to charity. Then he decides to give 20% of what he has left to his mother. What percent of his winnings does stephen have left for himself?

A)  67%

B)  56%

C)  54%

D)  50%

Solution :

Problem 2 :

The perimeter of an equilateral triangle with sides of length s is p. What is the perimeter of a square with sides of length 3s, in terms of p?

A)  p²

B)  12p

A)  4p

A)  3p

Solution :

Problem 3 :

If a + b = c, which of the following is equal to a² + b²?

A)  c + 2ab

B)  c²

C)  c² - ab

D)  c² - 2ab

Solution :

Problem 4 :

If m/n = 2/3, what is the value of 2n/m + 5?

Solution :

Problem 5 :

If k is an integer cosntant greater than 1, which of the following values of x satisfies the inequality

x/3 + 1 ≥ k

A)  k - 3

B)  k

C)  3k - 4

D)  3k - 2

Solution :

Problem 6 :

-377x + k = 377x + k

If k is a constant, how many solutions does the given equation have?

A)  No solution

B)  One solution

C)  Two solutions

D)  Infinite solutions

Solution :

Problem 7 :

The graph of the linear equation passes through the points (-21, -89/2) and (12, 65/2). The graph also passes through the point (27/4, a). What is the value of a?

Solution :

Problem 8 :

The figure below shows a square and a right triangle. What is the area of shaded region?

A)  x(x + y)/2

B)  (x² + y²)/2

C)  xy

D)  2xy

Solution :

Problem 9 :

|x| < 1, which of the following is the greatest?

A)  2

B)  1 – x

C)  1 + x

D)  2x

Solution :

Problem 10 :

Sam drove to work at an average speed of 50 miles per hour from her house and then returned along the same route at an average speed of 40 miles per hour. If the entire trip took her 2.25 hours, what is the entire distance, in miles, for the round trip?

A)  90

B)  100

C)  120

D)  125

Solution :

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