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.

7. The least common multiple for 24, 40 and 60 is what number?

A. 2

B. 24

C. 60

D. 120

E. 240

20. Which of the following equations represents a line that is perpendicular to 6*x* – 9*y* = 18?

F. *y* = -6*x* + 4

G. *y* = -3/2*x* + 5

H. *y* = -2/3*x* – 7

J. *y* = 2/3*x* +9

K. *y* = 3/2*x* + 8

37. The circle below has its center at Point *O *and the diameter *AC* has a length of 12. If the measure of ∠*ABC* is 30°, what is the area of triangle *ABC*?

A. 18

B. 18√2

C. 18√3

D. 36

E. 36√3

42. On a map in the standard (*x*, *y*) coordinate plane, Culver City is located at the point (-1, -3) and Denton is located at the point (4, 5). If each unit on the map represents 5 miles, what is the approximate distance, in miles, between Culver City and Denton?

F. 18

G. 26

H. 47

J. 65

K. 82

55. The graph below shows the function *f*(*x*) = 3sin(π*x*). If *a* represents the *amplitude* of the function and *p* represents the *period* of the function, what is the value of *a* + *p*?

A. 5

B. 6

C. 8

D. 3 + π

E. 6 + 2π

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

Solutions:

7. D

20. G

37. C

42. H

55. A

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