ACT math practice test 29

1. For each of 3 years, the table below gives the number of different routes a runner ran, the number of runs she ran, and the total number of miles she ran.

To the nearest tenth of a mile, what is the average number of miles the runner ran per run in 2005?

A. 2.5
B. 2.6
C. 3.2
D. 4.8
E. 5

2. The lengths of 2 sides are not given in the polygon below. If each angle between adjacent sides measures 90°, then, in meters, what is the perimeter of the polygon?

F. 75
G. 90
H. 95
J. 400
K. 450

3. Which of the following inequalities represents the graph shown below on the real number line?

A. 0 < x < 5
B. 0 < x ≤ 4
C. -2 < x ≤ 4
D. 1 < x ≤ 4
E. 0 < x ≤ 4

4. What is the value of 4 + 3x y when x = 3 and y = -1?

F. 13
G. 16
H. 30
J. 85
K. 2,041

5. For integers x and y such that xy = 14, which of the following is NOT a possible value of x?

A. 2
B. 1
C. -7
D. -8
E. -14

6. In cubic meters, what is the volume of a large cube whose edges each measure 6 meters in length?

F. 18
G. 36
H. 64
J. 108
K. 216

7. Pat's Pastries baked 80 apple pies and 50 loaves of apple bread to be sold at a 2-day Fall Festival. The pies were sold for $25 each and the loaves of bread were sold for $10 each. Which of the following expressions gives the total amount of money, in dollars, collected from selling all of the apple pies and B of the loaves of bread?

A. 35B
B. 1,570B
C. B + 80
D. 10B + 1,250
E. 10B + 2,000

8. In the figure below, W, X, and Z are collinear, the measure of WXY is 4a°, and the measure of YXZ is 11a°. What is the measure of WXY?

F. 12°
G. 48°
H. 96°
J. 132°
K. 264°

9. Each of the following values could represent a probability EXCEPT:

A. 0.00004
B. 0.7
C.
D.
E.

10. For the first several weeks after hiring a private tutor, Teddy's score on a standardized test increased slowly. As Teddy began to understand the concepts more clearly, though, his standardized test scores improved more rapidly. After several more weeks, Teddy stopped working with his tutor and his scores did not improve any more. Which of the following graphs could represent all of Teddy's standardized test scores as a function of time, in weeks, after he hired a private tutor?

F.
G.
H.
J.
K.

11. The Northampton Volunteer Association has built a rectangular sandbox for a local elementary school and is ready to fill it with sand. The sandbox is 60 inches wide, 72 inches long, and will be filled 18 inches deep. Under the assumption that 1 bag of sand can fill 3,600 cubic inches of the sandbox, what is the minimum number of bags of sand they will need in order to fill the sandbox?

A. 1
B. 7
C. 12
D. 21
E. 22

12. Salvador is trying to scale his rectangular self-portrait down to postcard size. The painting is 9 feet wide by 16 feet long. He is using a scale of inch = 1 foot for the postcard-sized self-portrait. What will be the dimensions, in inches, of Salvador's postcard-sized self-portrait?

F. 1 by 4
G. 3 by 5
H. 3 by 4
J. 27 by 48
K. 36 by 64

13. The Crestview High School student body is made up only of freshmen, sophomores, juniors, and seniors. 25% of the students are freshmen, 35% are sophomores, and 20% are juniors. If no student can be considered to be in two classes, and there are 150 seniors, how many students make up the Crestview High School student body?

A. 230
B. 500
C. 600
D. 750
E. 1,500

14. The circumference of a car tire is 75 inches. About how many revolutions does this car tire make traveling 225 feet (2,700 inches) without slipping?

F. 3
G. 14
H. 36
J. 225
K. 432

15. (2 - 4t + 5t2) - (3t2 + 2t - 7) is equivalent to:

A. 2t2 - 6t + 9
B. 2t2 - 2t + 9
C. 2t4 - 2t2 - 5
D. 8t2 - 6t - 5
E. 8t4 - 6t2 - 5