Free ACT Math Practice Test 4

1. |9 - 5| - |5 - 9| =?

A. -8
B. -6
C. -4
D. 0
E. 8

2. An editor charges $30 for each hour he works on a book project, plus a flat $25 editing fee. How many hours of work are included in a $190 bill for a book project?

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

3. Runner A averages 5 miles per hour, and Runner B averages 6 miles per hour. At these rates, how much longer does it take Runner A than Runner B to run 15 miles?

A. .5 hour
B. 1 hour
C. 1.5 hours
D. 2.5 hours
E. 3 hours

4. x2 + 60x + 54 - 59x - 82x2 is equivalent to:

F. -26x2
G. -26x6
H. -81x2 + x + 54
J. -81x2 - x + 54
K. -83x2 - x - 54

5. The figure below is composed of square ABDE and equilateral triangle BCD. The length of line segment AE is 18 centimeters. What is the perimeter of ABCDE, in centimeters?

A. 48
B. 54
C. 72
D. 90
E. 106

6. The expression (6n - 5)(n + 4) is equivalent to:

F. 6n2 - 20
G. 6n2 - 19n - 20
H. 6n2 - 29n - 20
J. 6n2 + 19n
K. 6n2 + 19n - 20

7. Blair expects an increase of 3% in her current annual salary of $42,000. What would her new annual salary be?

A. $42,003
B. $42,126
C. $43,260
D. $45,000
E. $54,600

8. The 6 consecutive integers below add up to 513.

What is the value of n?

F. 48
G. 53
H. 64
J. 85
K. 86

9. In the standard (x, y) coordinate plane, point B with coordinates (5,6) is the midpoint of AC, and A has coordinates (6,7). What are the coordinates of C?

A. (11,13)
B. (7,8)
C. (4,5)
D. (5.5,6.5)
E. (-4,-8)

10. Rectangle PQRS lies in the standard (x, y) coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle PQRS?

F. -2
G. -1
H. 0
J. 1
K. 2

11. If Tom traveled 45 miles in 12 hours and Jim traveled four times as far in one-third the time, what was Jim's average speed, in miles per hour?

A. 5
B. 15
C. 30
D. 45
E. 90

12. Given the triangle shown below with exterior angles that measure a°, b°, and c° as shown, what is the sum of a, b, and c?

F. 180
G. 236
H. 261
J. 360
K. Cannot be determined from the given information

13. A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.

What percent of the students polled chose Spartans in the poll?

A. 40%
B. 30%
C. 25%
D. 20%
E. 15%

14. A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.

If the information in the table were converted to a pie chart, then the central angle of the sector for Lions would measure how many degrees?

F. 144°
G. 108°
H. 72°
J. 54°
K. 45°

15. A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below.

If the poll is indicative of how the 3,000 students at Center High School will actually vote, which of the following is the best estimate of the number of votes Knights will receive?

A. 50
B. 200
C. 525
D. 750
E. 900