Digital SAT Math Problems and Solutions (Part

Problem 1 :

If the slope of line ℓ
is -1 as shown above, what is the area of △SOT ?

A)  2

B)  4

C)  6

D)  8

Solution :

Problem 2 :

In the figure above AB
is parallel to CD. If BC = 15, what is the length of EC?

A)  6

B)  7

C)  8

D)  9

Solution :

Problem 3 :

The area of a right triangle is 270 square units. The longest side of the triangle is 39 units. What is the length of the shortest leg?

Solution :

Problem 4 :

In the xy-plane above, the parabola y = a(x – h)² has one x-intercept at (4, 0). If the y-intercept of the parabola is 9, what
is the value of a?

Solution :

Problem 5 :

A cylinder has a base radius of r and a height of h. If
the radius is reduced by 30%, how would the volume of the cylinder change?

A)  The volume would be decreased by 49 percent.

B)  The volume would be decreased by 50 percent.

C)  The volume would be decreased by 51 percent.

D)  The volume would be decreased by 60 percent.

Solution :

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