Home->ACT Math

As shown in the standard (x,y) coordinate plane below, A (2,4) lies on the circle with center L (10,-2) and radius 10 coordinate units. What are the coordinates of the image of A after the circle is rotated 90° counterclockwise (?) about the center of the circle?

(A)(10, 2)

(B) (-2, 10)

(C) (2, -8)

(D) (0, -2)

(E) (4,-10)

If ppercent of 250 is 75, what is 75% of p?

(A) 22.5(B) 25(C) 75(D) 225(E) 250

Correct Answer: A

Line segments , , and are parallel and intersect line segments and as shown in the figure below. The ratio of the perimeter of ΔFJK to the perimeter of ΔFLM is 3:5, and the ratio of to is 1:5. What is the ratio of to ?

(F) 1:05 (G) 1:03 (H) 1:02 (J) 2:01 (K) 5:03

Correct Answer: J

As shown in the (x,y,z) coordinate space below, the cube with vertices L through S has edges that are 2 coordinate units long. The coordinates of Q are (0,0,0), and S is on the positive x-axis. What are the coordinates of O?

(F) (2,0,2) (G) (2,2,2) (H) (J) (K)

Correct Answer: H