DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 16)

Problem 1 :

A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation 2x + 35y = 3,934 represents this situation. Which of the following is the best interpretation of x in this context?

A)  The average number of trees per hectare in the park

B)  The average number of trees per hectare in the residential area

C)  The total number of trees in the park

D)  The total number of trees in the residential area

Solution :

Problem 2 :

The graph shows the relationship between the number of shares of stock from Company A, x, and the number of shares of stock from Company B, y, that Simone can purchase. Which equation could represent this relationship?

A)  y = 8x + 12

B)  8x + 12y = 480

C)  y = 12x + 8

D)  12x + 8y = 480

Solution :

Problem 3 :

Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?

A)  43

B)  86

C)  129

D)  1,849

Solution :

Problem 4 :

A circle in the xy -plane has a diameter with endpoints (2, 4) and (2, 14). An equation of this circle is

(x − 2)² + (y - 9)² = r²,

where r is a positive constant. What is the value of r?

Solution :

Problem 5 :

The measure of angle R is 2π/3 radians. The measure of angle T is 5π/12 radians greater than the measure of angle upper R. What is the measure of angle upper T, in degrees?

A)  75

B)  120

C)  195

D)  390

Solution :

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