ACT math practice test 27

1. The table below lists the number (to the nearest 1,000) of book club members in the United States for 2001 through 2004. Of the following expressions with x representing the number of years after 2001, which best models the number of book club members (in thousands) in the United States?

YearNumber of members (in thousands)
2001
2002
2003
2004
539
542
544
547

A. 539x + 2,001
B. x + 2,001
C. x + 539
D. 547x + 2,004
E. 2,001x + 539

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

2.

Which of the following years had the LEAST increase in the percent of U.S. citizens who had consumed the brand-name soda from the previous year?

F. 1990
G. 1998
H. 2001
J. 2004
K. 2006

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

3.

The figure below shows a scatterplot of the data in the table and solid lines that are possible models for the data. Which of the 5 lines appears to be the best representation of the data?

A. A
B. B
C. C
D. D
E. E

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

4.

By 2002 there were 74,672,120 U.S. citizens who had consumed the brand-name soda. According to this information, approximately how many people were soda consumers, of the brand-name soda or other sodas, in 2002?

F. 4,700,000,000
G. 150,000,000
H. 119,000,000
J. 47,000,000
K. 37,500,000

5. For all nonzero y and z, =?

A. 109
B. 10
C. 1
D.
E.

6. The function g(x) = x4- 2x3- 6x2x + 5 and line h are shown in the standard (x,y) coordinate plane below. Which of the following is an equation of line h, which passes through (-1,3) and (2,-21)?

F. -8x - 5
G. -8x + 5
H. -9x + 5
J. -9x - 5
K. -6x - 5

7. Which of the following degree measures is equivalent to 2.25π radians?

A. 101.25
B. 202.5
C. 405
D. 810
E. 1,620

Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.

8.

Sail material costs $8.99 for 150 square feet. If the material can be purchased in any quantity, which of the following is closest to the cost in dollars of the material needed to fill the area of the sail as shown?

F. $360.00
G. $280.00
H. $200.00
J. $180.00
K. $25.00

Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.

9.

To determine how much trim to buy for the sail, Greg calculated the sail's perimeter. What is the sail's perimeter, in feet?

A. 275
B. 300
C. 290
D. 220
E. 170

Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.

10.

The angle opposite the 120-foot side measures about 65.2°. Greg would like to make a second sail. This one will still be a right triangle with a 50-foot side as one leg, but the 120-foot side will be shortened until the angle opposite that side is about 10°. By about how many feet will Greg need to shorten the 120-foot side?

(Note: sin 10° ≈ .17, cos 10° ≈ .98, tan 10° ≈ .18)

F. 9
G. 49
H. 71
J. 111
K. 122

11. Rectangle AKLD consists of 5 congruent rectangles as shown in the figure below. Which of the following is the ratio of the length of to the length of ?

A. 1:01
B. 2:01
C. 5:03
D. 1:03
E. 2:03

12. Jackson High School's basketball team scored an average of 90 points in each of the first 10 games of the season. If it scored 102 points in each of the next 2 games, which of the following is closest to its average for all 12 games?

F. 102
G. 98
H. 96
J. 92
K. 90

13. A ferry boat travels from a dock on the mainland toward an island, stops to discharge and load passengers, then returns to the mainland dock. Among the following graphs, which one best represents the relationship between the distance, in kilometers, of the ferry from the island and the time, in minutes, from when the ferry leaves the mainland dock until it returns?

A.
B.
C.
D.
E.

14. A right triangle has sides measuring 12 inches, 35 inches, and 37 inches. What is the cosine of the angle that lies opposite the 35-inch side?

F.
G.
H.
J.
K.

15. The noncommon rays of 2 adjacent angles form a straight angle. The measure of one angle is 4 times the measure of the other angle. What is the measure of the smaller angle?

A. 36°
B. 45°
C. 90°
D. 135°
E. 144°