ACT Math: Five Problems for Your Weekend (4/3/15)

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 are posted here.

9.  In a recent poll, 30% of students said that their favorite sport to watch was basketball. Nina wants to represent the results of the poll in a circle graph. How many degrees should she make the central angle for the part of the graph that represents those students who chose basketball?

A.  30
B.  54
C.  100
D.  108
E.  120

22.  The slope of the line containing the points (5, 11) and (7, b) is -3. What is the value of b, the y-coordinate of the second point?

F.  -3
G.  -1
H.  5
J.   8
K.  17

39.  A circle has its center at (-2, 3) and a point on the circle is (5, 2). What is the area of the circle?

A.  8π
B.  14π
C.  25π
D.  48π
E.  50π

44.  Given that i² = -1, what is the value of ( 4 – i )² ?

F.  15
G.  17
H.  15 – 8i
J.   17 – 4i
K.  17 – 8i

55.  You drove in your car to your friend’s house at an average speed of 20 miles per hour. On the return trip, over the exact same route, you are able to drive at an average speed of 30 miles per hour. What is your average speed, in miles per hour, for the entire round trip?

A.  22.5
B.  23
C.  24
D.  25
E.  26

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

Solutions

9.  D
22.  H
39.  E
44.  H
55.  E

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