Free ACT Math Practice Test 2

1. Which of the following is equal to ?

A.
B.
C.
D.
E.

2. One traffic light flashes every 6 seconds. Another traffic light flashes every 9 seconds. If they flash together and you begin counting seconds, how many seconds after they flash together will they next flash together?

F. 6
G. 9
H. 18
J. 36
K. 54

3. If , then x = ?

A. -4
B. 2
C. 4
D. 8
E. 16

4. In the figure below, what is the sum of p and q?

F. 75°
G. 150°
H. 180°
J. 285°
K. 360°

5. How many ordered pairs (x, y) of real numbers will satisfy the equation 5x - 7y = 13?

A. 0
B. 1
C. 2
D. 3
E. Infinitely many

6. How many different positive 3-digit integers can be formed if the three digits 3, 4, and 5 must be used in each of the integers?

F. 6
G. 7
H. 8
J. 9
K. 12

7. Each of the 3 lines crosses the other 2 lines as shown below. Which of the following relationships, involving angle measures (in degrees) must be true?

I. m∠2 + m∠7 + m∠12 = 180°

II. m∠4 + m∠5 + m∠10 = 180°

III. m∠3 + m∠8 + m∠11 = 180°

A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III

8. If x2 - y2 = 49 and x - y = 7, then x =?

F. 14
G. 7
H. 4
J. -4
K. -7

9. For is equivalent to:

A. 1
B. 3
C. a3
D. a4
E. a6

10. The polygon below was once a rectangle with sides 10 and 14 before a triangle was cut off. What is the perimeter, in inches, of this polygon?

F. 54
G. 48
H. 46
J. 41
K. 36

11. A circle in the standard (x, y) coordinate plane has center (-4,5) and radius 5 units. Which of the following equations represents this circle?

A. (x - 4)2 - (y + 5)2 = 5
B. (x - 4)2 + (y + 5)2 = 5
C. (x - 4)2 - (y + 5)2 = 25
D. (x + 4)2 + (y - 5)2 = 25
E. (x + 4)2 - (y - 5)2 = 25

12. For the triangle shown below, what is the value of tan x?

F.
G.
H.
J.
K.

13. You have enough material to build a fence 120-feet long. If you use it all to enclose a square region, how many square feet will you enclose?

A. 900
B. 480
C. 240
D. 120
E. 60

14. For what nonzero whole number k does the quadratic equation y2 + 2ky + 4k = 0 have exactly one real solution for y?

F. 8
G. 4
H. 2
J. -4
K. -8

15. In Δ ABC below, points B, D, and C are collinear. Segment AB is perpendicular to segment BC, and segment AD bisects angle BAC. If the measure of angle DCA is 60°, what is the measure of angle ADB?

A. 15°
B. 45°
C. 60°
D. 75°
E. 105°