Free Printable ACT Prep

1.

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

a)

$44.44

b)

$109.08

c)

$118.80

d)

$408.04

e)

$444.40

2.

When

x=3

and

y=5

, by how much does the value of

3x^2-2y

exceed the value of

2x^2-3y

?

a)

4

b)

14

c)

16

d)

20

e)

50

3.

What is the greatest common factor of 42, 126, and 210?

a)

2

b)

6

c)

14

d)

21

e)

42

4.

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

a)

16

b)

20.5

c)

22

d)

35

5.

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

a)

13.5

b)

47.5

c)

54

d)

66

6.

In the standard $\left(x,y\right)$ coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

a)

(3,-7)

b)

(4,-8)

c)

(5,-1)

d)

(9,-3)

7.

Do you feel confident about this topic?

a)

yes

b)

no

c)

kind of

8.

Which statement best describes what a ratio is.

a)

A number

b)

A comparison of two quantities using division.

c)

A comparison

d)

A comparison of many things.

9.

If I have the following ratio, do I need to scale up or down?
1 2
--- = ----
3 ?

a)

up (multiply)

b)

down (divide)

10.

Which of the following is not equivalent to 3 : 4

a)

12 : 16

b)

20 : 15

c)

3/4 : 1

d)

6 : 8

11.

Are the following ratios similar?

a)

Yes

b)

No

12.

Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work.

a)

$60.00

b)

$20.00

c)

$40.00

d)

$10.00

13.

_{Simplify the following ratio
8 : 12}

a)

1 : 3

b)

2 : 3

c)

3 : 4

d)

4 : 5

14.

Is this a part to whole or part to part?
$\frac{12\ students\ prefer\ pet\ cats}{48\ total\ students\ voted}$

a)

Part to whole

b)

Part to part

15.

Is this a part to part or part to whole ratio?

\frac{43\ students\ prefer\ basketball}{28\ students\ prefer\ football}

a)

Part to Whole

b)

Part to Part

16.

Serena’s book collection contains 23 fiction books and 4 non-fiction books.

a)

Part to whole

b)

Part to part

17.

Of the 200 students surveyed, 120 prefer bananas

a)

Part to Whole

b)

Part to Part

18.

a)

8

b)

2

c)

128

d)

4

19.

a)

12 yds

b)

6 yds

c)

16 yds

d)

9 yds

20.

a)

10

b)

7

c)

4

d)

21

21.

a)

2

b)

5

c)

4

d)

1

22.

a)

15

b)

25

c)

35

d)

65

e)

80

23.

a)

(-1, 5)

b)

(1, 4)

c)

(2, 5)

d)

(4, 1)

e)

Cannot be determined

24.

a)

$420

b)

$1,120

c)

$1,260

d)

$1,680

e)

$2,240

25.

What is the slope of line HM?

a)

$-\frac{3}{2}$

b)

-1

c)

$-\frac{2}{3}$

d)

$\frac{2}{3}$

e)

$\frac{3}{2}$

26.

If the area of rectangle ABCD is 1 square unit, which of the following expressions represents the area of the shaded region?

a)

$\frac{1}{8}\cdot\frac{1}{6}$

b)

$\frac{1}{8}\cdot\frac{5}{6}$

c)

$\frac{1}{8}\cdot\frac{7}{8}$

d)

$\frac{7}{8}\cdot\frac{1}{6}$

e)

$\frac{7}{8}\cdot\frac{5}{6}$

27.

a)

$y=-2x-7$

b)

$y=-2x+7$

c)

$y=\frac{1}{2}x-7$

d)

$y=\frac{1}{2}x+7$

e)

$y=7x-4$

28.

a)

-39

b)

-9

c)

2

d)

9

e)

38

29.

a)

3x - 4a

b)

3x + 4a

c)

$x-\frac{4a}{3}$

d)

$\frac{x}{3}-4a$

e)

$\frac{x-4a}{3}$

30.

a)

75

b)

$16\sqrt{5}$

c)

$15\sqrt{5}$

d)

$8\sqrt{10}$

e)

$8\sqrt{5}$

31.

a)

$_{30}P_{10}$

b)

$\left(_{12}P_5\right)\left(_{18}P_5\right)$

c)

$_{30}C_{10}$

d)

$\left(_{30}C_5\right)\left(_{30}C_5\right)$

e)

$\left(_{12}C_5\right)\left(_{18}C_5\right)$

32.

The perimeter of the pyramids base was 920 meters. Which of the following is closest to the length of the diagonal of the base?

a)

30 meters

b)

40 meters

c)

230 meters

d)

320 meters

e)

650 meters

33.

a)

1,600

b)

1,920

c)

4,800

d)

14,400

e)

19,200

34.

The yard will be enclosed by a fence starting at one back corner of the house and ending at the other back corner of the house. What is the minimum feet of fencing needed?

a)

215

b)

275

c)

310

d)

315

e)

350

35.

a)

1/2

b)

2

c)

4

d)

5

e)

10

36.

a)

$\left|a+b+c\right|$

b)

$\left|a+b-c\right|$

c)

$\left|a-b+c\right|$

d)

$\left|-a+b+c\right|$

e)

$\left|-a-b-c\right|$

37.

a)

$\frac{1}{3}$

b)

$\frac{1}{5}$

c)

$\frac{1}{15}$

d)

$\frac{7}{15}$

e)

$\frac{8}{15}$

38.

a)

Equilateral

b)

Acute Isosceles

c)

Right Isosceles

d)

Acute Scalene

e)

Right Scalene

39.

a)

b)

c)

d)

e)

40.

a)

7

b)

9

c)

$\sqrt{13}$

d)

$\sqrt{45}$

e)

$\sqrt{85}$

41.

Which of the following expressions is equivalent to $-4x^3-12x^3+9x^2$

a)

$x^8$

b)

$-7x^8$

c)

$-8x^3+9x^2$

d)

$-16x^3+9x^2$

e)

$-16x^6+9x^2$

42.

When $x=2,\ \ 10+3\left(12\div\left(3x\right)\right)$

a)

$12$

b)

$16$

c)

$26$

d)

$34$

e)

$104$

43.

$\left|6-4\right|-\left|3-8\right|=$

a)

$-7$

b)

$-3$

c)

$3$

d)

$7$

e)

$21$

44.

The expression $\left(4c-3d\right)\left(3c+d\right)$ is equivalent to:

a)

$12c^2-13cd-3d^2$

b)

$12c^2-13cd+3d^2$

c)

$12c^2-5cd-3d^2$

d)

$12c^2-5cd+3d^2$

e)

$12c^2-3d^2$

45.

Of the 180 students in a college course, $\frac{1}{4}$ of the students earned an A for the course, $\frac{1}{3}$ of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?

a)

$75$

b)

$90$

c)

$105$

d)

$120$

e)

$135$

46.

The number of fish $f$ , in Skipper’s Pond at the beginning of each year can be modeled by the equation $f\left(x\right)=3\left(2^x\right)$ , where $x$ represents the number of years after the beginning of the year $2000$ . For example, $x=0$ represents the beginning of the year $2000$ , $x=1$ represents the beginning of the year 2001, and so forth. According to the model, how many fish were in Skipper’s Pond at the beginning of the year 2006 ?

a)

$96$

b)

$192$

c)

$384$

d)

$1,458$

e)

$46,656$

47.

Manish drove from Chicago to Baton Rouge. At 8:00 a.m., he was 510 km from Baton Rouge. At 1:00 p.m., he was 105 km from Baton Rouge. Which of the following values is closest to Manish’s average speed, in kilometers per hour, from 8:00 a.m. to 1:00 p.m. ?

a)

58

b)

68

c)

81

d)

94

e)

102

48.

A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. How many additional red marbles must be added to the 24 marbles already in the bag so that the probability of randomly drawing a red marble is $\frac{3}{5}$

a)

11

b)

16

c)

20

d)

24

e)

32

49.

At his job, the first 40 hours of each week that Thomas works is regular time, and any additional time that he works is overtime. Thomas gets paid $15 per hour during regular time. During overtime Thomas gets paid 1.5 times as much as he gets paid during regular time. Thomas works 46 hours in 1 week and gets $117 in deductions taken out of his pay for this week. After the deductions are taken out, how much of Thomas’s pay for this week remains?

a)

$492

b)

$573

c)

$609

d)

$618

e)

$735

50.

What is $3\%$ of $4.14\cdot10^4$ ?

a)

1,242

b)

1,380

c)

12,420

d)

13,800

e)

124,200

51.

The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this set?

a)

5

b)

50

c)

105

d)

210

e)

525

52.

The average of a list of 4 numbers is 92.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40, and the fourth number in the new list is 48. What is the average of this new list of numbers?

a)

81.0

b)

92.0

c)

94.0

d)

94.4

e)

96.6

53.

A barrel contains 25 liters of a solvent mixture that is 40% solvent and 60% water. Lee will add pure solvent to the barrel, without removing any of the mixture currently in the barrel, so that the new mixture will contain 50% solvent and 50% water. How many liters of pure solvent should Lee add to create this new mixture?

a)

2.5

b)

5

c)

10

d)

12.5

e)

15

54.

Regardless of how the graph is oriented in the standard (x,y) coordinate plane, NO graph in one of the following categories has a vertical line of symmetry. Which one?

a)

Line

b)

Square

c)

Pentagon

d)

Parallelogram

e)

Scalene triangle

55.

In a window display at a flower shop, there are 3 spots for 1 plant each. To fill these 3 spots, Emily has 6 plants to select from, each of a different type. Selecting from the 6 plants, Emily can make how many possible display arrangements with 1 plant in each spot?

(Note: The positions of the unselected plants do not matter.)

a)

3

b)

6

c)

15

d)

120

e)

216

56.

What is 7% of $4.58\ \times\ 10^6$ ?

a)

3,206,000

b)

320,600

c)

763.33

d)

76.33

57.

The Carousel Clothes Shop is advertising a sale featuring 30% off the marked price on any item. Which of the following gives the sale price, in dollars, of an item with a marked price of p dollars?

a)

0.3p

b)

p - 30p

c)

p - 0.3

d)

p - 0.3p

58.

Brian bought a pair of jeans for 2/3 of the original price of $48 and a belt for 40% of its original price of $12.50. Ignoring sales tax, what is the total amount for these purchases?

a)

$21.00

b)

$27.00

c)

$37.00

d)

$39.50

59.

Which of the following is NOT equivalent to to 80% of n?

a)

0.80n

b)

8(0.10n)

c)

$\frac{4n}{5}$

d)

$\frac{8n}{100}$

60.

What is 4% of $7.34\ \times10^4$ ?

a)

29,360

b)

2,936

c)

1,835

d)

183.5

61.

What is 5% of 50?

a)

0.5

b)

2.5

c)

10

d)

25

62.

Jennifer's best long jump distance increased by 10% from 1990 to 1991 and by 20% from 1991 to 1992. By what percent did her best long jump distance increase from 1990 to 1992?

a)

32%

b)

30%

c)

20%

d)

15%

63.

Suppose that replacing an old electric water heater with a new, energy-efficient electric water heater will reduce a home's average monthly electric bill by 20%. If the old electric water heater in a home with a current average monthly electric bill of $110 is replaced by a new energy-efficient one, what will be the home's new average monthly electric bill?

a)

$22.00

b)

$88.00

c)

$90.00

d)

$109.80

64.

While watching TV from 7:00 pm to 8:00 pm, you count 20 commercials, each 30 seconds long. To the nearest percent, what percent of the hour is taken up by commercials?

a)

6%

b)

10%

c)

17%

d)

50%

65.

Mr. Jones earns a total of $320 each week at his job in Shaba's Supermarket. If 18% of his pay is withheld for taxes, insurance, and other deductions, what is his take-home pay each week?

a)

$57.60

b)

$262.40

c)

$300.50

d)

$338.00

66.

Ticket sales for this year's annual concert at County Stadium were $350,000. The promoter is predicting that next year's ticket sales, in dollars, will be 60% greater than this year's. How many dollars in ticket sales is the promoter predicting for next year?

a)

$350,060

b)

$410,000

c)

$560,000

d)

$950,000

67.

An advertisement for tires says, "Buy 3 tires at the regular price and get the fourth tire free!" This offer is equivalent to what discount off the regular price of all 4 tires?

a)

1/4 %

b)

1/3 %

c)

25%

d)

40%

68.

Adina plays in a bowling league. Her bowling scores for last week are listed below. What is the median of Adina's bowling scores for last week?

142, 186, 201, 191, 116, 201, 175

a)

180 1/2

b)

186

c)

191

d)

201

69.

An organization promoting good nutritional habits collected data on fat calories in foods from 9 fast food restaurants. The values represent the number of fat calories in a small order of french fries from each restaurant.

160, 106, 104, 113, 160, 103, 161, 89, 96

What is the median number of fat calories in a small order of fries at these restaurants?

a)

106

b)

108

c)

125

d)

128

70.

What is the mean of the list of numbers below?

62, 100, 93, 62, 72, 78, 50, 85, 62, 36

a)

62

b)

67

c)

70

d)

75

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D

77.

a)

A

b)

B

c)

C

d)

D

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

a)

A

b)

B

c)

C

d)

D

82.

a)

A

b)

B

c)

C

d)

D

83.

a)

A

b)

B

c)

C

d)

D

84.

a)

A

b)

B

c)

C

d)

D

85.

a)

A

b)

B

c)

C

d)

D

86.

a)

A

b)

B

c)

C

d)

D

87.

(x³)⁹=

a)

x¹²

b)

x²⁷

c)

x³

d)

x⁶

88.

What is the median of the set {5, 7, 4, 3, 5, 9}

a)

33

b)

6

c)

5

d)

5.5

89.

In the equation y = -5x + 7, what is the slope?

a)

-5

b)

5

c)

-7

d)

7

90.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

91.

Mrs. Edgar bought an eight pack of bottled water for $4.00. What was the unit price for the water?

a)

$32.00

b)

$0.50

c)

$3.20

d)

$5.00

92.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

60

c)

18

d)

50

93.

Determine the likelihood of the following event:
Drawing a red card from a standard deck of cards

a)

1/2

b)

13/52

c)

1/4

d)

4/52

94.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

95.

What is the area of the SHADED region?

a)

16 cm²

b)

20 cm²

c)

8 cm²

d)

12 cm²

96.

Find the area.

a)

25 square inches

b)

70 square inches

c)

80 square inches

d)

56 square inches

97.

What is the perimeter of this equilateral triangle?

a)

4cm

b)

16cm

c)

12cm

d)

8cm

98.

What is the perimeter of this shape?

a)

24cm

b)

16cm

c)

22cm

d)

30cm

99.

If the perimeter of this shape is 30cm, what is the length of the missing side?

a)

30cm

b)

10cm

c)

11cm

d)

5cm

100.

a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

ACT Prep

Total questions: 100

Worksheet time: 2hrs 40mins

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