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ACT Practice (Custom)

Total questions: 24

Worksheet time: 6hrs 0mins

Name
Class
Date
1.

A particular stock gains 20% on its price on Tuesday. On Wednesday, it loses 12% of its new price. On Thursday, it gains 4% on Wednesday's price. What is the percent increase at the close of business Thursday, compared to the opening price on Tuesday? Do not round until the final answer.

a)

14%

b)

12%

c)

18%

d)

10%

e)

16%

2.

The regular price for a sweater in October is $80. In November, the store holds a Thanksgiving sale, and the price of the sweater is reduced by 7%. In December, the store holds a Christmas sale, and the November price of the sweater is reduced by an additional 6%. At the end of December, Jim purchases the sweater. By what percent did the price of the sweater decrease from October to December?

a)

11%

b)

8.4%

c)

21%

d)

7.2%

e)

12.6%

3.

Solve for x in the following equation:

log224 - log23 = logx27

a)

2

b)

1

c)

-2

d)

3

e)

9

4.

Find  log2(log3(81)).

a)

0

b)

1/2

c)

1/3

d)

1

e)

2

5.

If Y=(x/8)4 and x1=(1/4)x2 how much greater is Y2 than Y1 ?

a)

8

b)

16

c)

256

d)

2

e)

64

6.

Z= x3\sqrt[3]{x}  if 27X1 = X2 how much greater is Z1 than Z2

a)

1

b)

3

c)

4

d)

9

e)

27

7.

Which of the following expressions, if any, are equal all real number x?

I√((-x)3)

II |−x|

III −|x|

a)

I&III

b)

II

c)

II&III

d)

I,II,&III

e)

None

8.

Which of the following expressions, if any, are equal all real number x?

I√((-x)2)

II |−x|

III −|x|

a)

I&III

b)

I&II

c)

II&III

d)

I,II,&III

e)

None

9.

In a fountain, there are 1,000 quarters, 2,000 dimes, 2,000 nickels, and 5,000 pennies. A student randomly draws a coin from the fountain each day for 3 years, records its value, and tosses it back into the fountain.

Let x equal the value of a coin drawn randomly from the fountain. If all coins are equally likely to be drawn, regardless of coin size, what is the expected value (long-run average) of x?

a)

$0.01

b)

$0.04

c)

$0.06

d)

$0.08

e)

$0.10

10.

A graduating class has 300 women and 250 men. The women's ages average to 27 and the men's ages average to 29. What is the average age of the class?

a)

27.9

b)

27

c)

28

d)

Cannot be determined

e)

27.5

11.

If the sine of an angle equals 2/3, and the cosine of the same angle equals 5/12, what is the tangent of the angle?

a)

8/5

b)

5/8

c)

12/8

d)

12/5

e)

8/12

12.

In the right triangle shown above, let a=6, b=8, and c=10. What is the value of tan(B)? Reduce all fractions.

a)

5/3

b)

3/5

c)

4/5

d)

3/4

e)

4/3

13.

Which of the following does NOT represent a line? 

a)

Y= 3X3+43X^3+4  

b)

Y=0

c)

Y=-6x+8

d)

Y=x

14.

Which of the following does NOT represent a line?

a)

Y=|3x|

b)

Y=-4x+3-1

c)

Y=x*42

d)

Y=-(-x)+5

15.

(See PDF sent for Hair Color) Suppose the writer had chosen to write a how-to article for people wanting to change their hair color. Would this essay fulfill the writer’s goal?

a)

Yes, because the author’s approach to changing her own hair color would ease the anxiety of others wishing to do the same.

b)

Yes, because this essay emphasizes the universality of people changing their hairstyles and hair color.

c)

No, because this article only deals with the narrator’s own experimentation with her hair and does not provide steps for others to do the same.

d)

No, because the essay discourages people from changing their hair color.

16.

(See spanning the straits PDF) Suppose the writer had intended to write a brief essay that describes the entire process of designing and building the Mackinac Bridge. Would this essay successfully fulfill the writer’s goal?

a)

Yes, because it offers such details as the material of the superstructure, the identity of the designer, and the cost of construction.

b)

Yes, because it explains in detail each step in the design and construction of the bridge.

c)

No, because it focuses primarily on the difficulty and delay in seeing construction of a bridge across the Strait come to fruition.

d)

No, because it is primarily a historical essay about the motivation behind the bridge project.

17.

Question 12 (See Hair color passage)

a)

F. NO CHANGE

b)

G. she was gathering

c)

H. she had been gathering

d)

J. she gathered

18.

38. (see Spanning straits passage)

a)

F. NO CHANGE

b)

G. their great cost

c)

H. it’s great cost

d)

J. its great cost

19.

(see hair coloring passage) 6.

a)

F. NO CHANGE

b)

G. rapidly mixing

c)

H. mixed rapidly in

d)

J. rapidly mix in to

20.

36. (see Spanning straits articles)

a)

F. NO CHANGE

b)

G. for the project

c)

H. by the project

d)

J. of the project

21.

13. (See hair color passage)

a)

A. NO CHANGE

b)

B. along with

c)

C. or

d)

D. as well as

22.

34. (See spanning straits passage)

a)

F. NO CHANGE

b)

G. Giving up by the 1880s

c)

H. Until the 1880s

d)

J. In terms of the 1880s

23.

14. The writer is considering deleting the preceding sentence. If the sentence was deleted, the essay would primarily lose: (See hair color passage)

a)

F. a summary of the essay.

b)

G. the narrator’s ability to put her situation into perspective.

c)

H. a stylistic link to the essay’s introduction.

d)

J. an understanding of the author’s purpose in writing the essay.

24.

35. The writer is considering deleting the underlined portion from the sentence. If the writer were to delete this phrase, the essay would primarily lose: (See Spanning straits passage)

a)

A. a minor detail in the essay’s opening paragraph.

b)

B. an explanation of the impetus for discussion of a potential bridge.

c)

C. the writer’s opinion about the historical significance of the Mackinac Bridge.

d)

D. an indication of Michigan’s desire to keep pace with the transportation development taking place in New York City.