# ACT Math: Five Problems for Your Weekend (2/6/15)

Your ACT Math score can only get better with practice. Getting the score you want takes time and effort on your part, but hard work is usually rewarded on test day. Here are five problems similar to what you’ll encounter on the ACT. I hope you have a few minutes this weekend to find a quiet place and give them a try.

The numbering of the problems is meant to give you an idea of where in a section a problem might appear.

Answers appear at the end of the post. Full solutions can be found here.

17.  What is the y-intercept of the line in the standard (xy) coordinate plane that goes through the points (-2, 3) and (1, 9)?

A.  2
B.  4
C.  5
D.  6
E.  7

26.  What is the slope of the line given by the equation 9x – 6y + 15 = 0

F.  -6
G.  -3/2
H.  -2/3
J.  3/2
K. 5/2

35.  What is the distance, in coordinate units, between the points (-3, 7) and (1, 12) in the standard (xy) coordinate plane?

A.  √29
B.  √41
C.  √53
D.  9
E.  29

42.  In the figure below, all three circles have their centers at Point D. All of the points on segment AG are equally spaced so that AB BC = CDDEEFFG. If AG, the diameter of the largest circle, is 12 units long, what is the total area of the shaded regions?

F.  16π
G.  20π
H.  24π
J.  32π
K.  36π

57.  For θ, an angle whose measure is between 180 degrees and 270 degrees, cos θ = -9/41. Which of the following equals sin θ?

A.  -41/9
B.  -9/40
C.  -40/41
D.  9/41
E.  40/41

If you have questions about these problems or anything else to do with the ACT, leave a comment below or send me an email at info@cardinalec.com .

Solutions:

17.  E
26.  J
35.  B
42.  H
57.  C