Free Printable ACT Practice

1.

a)

15

b)

25

c)

35

d)

65

e)

80

2.

a)

(-1, 5)

b)

(1, 4)

c)

(2, 5)

d)

(4, 1)

e)

Cannot be determined

3.

a)

$420

b)

$1,120

c)

$1,260

d)

$1,680

e)

$2,240

4.

What is the slope of line HM?

a)

$-\frac{3}{2}$

b)

-1

c)

$-\frac{2}{3}$

d)

$\frac{2}{3}$

e)

$\frac{3}{2}$

5.

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)

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

6.

a)

$y=-2x-7$

b)

$y=-2x+7$

c)

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

d)

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

e)

$y=7x-4$

7.

a)

-39

b)

-9

c)

2

d)

9

e)

38

8.

a)

3x - 4a

b)

3x + 4a

c)

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

d)

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

e)

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

9.

a)

75

b)

$16\sqrt{5}$

c)

$15\sqrt{5}$

d)

$8\sqrt{10}$

e)

$8\sqrt{5}$

10.

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)

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

11.

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

12.

a)

1,600

b)

1,920

c)

4,800

d)

14,400

e)

19,200

13.

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

14.

a)

1/2

b)

2

c)

4

d)

5

e)

10

15.

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)

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

16.

a)

$\frac{1}{3}$

b)

$\frac{1}{5}$

c)

$\frac{1}{15}$

d)

$\frac{7}{15}$

e)

$\frac{8}{15}$

17.

a)

Equilateral

b)

Acute Isosceles

c)

Right Isosceles

d)

Acute Scalene

e)

Right Scalene

18.

a)

b)

c)

d)

e)

19.

a)

7

b)

9

c)

$\sqrt{13}$

d)

$\sqrt{45}$

e)

$\sqrt{85}$

20.

a)

$\left(x+2\right)^2+\left(y-1\right)^2=1$

b)

$\left(x+2\pi\right)^2+\left(y-1\right)^2=1$

c)

$\left(x+4\pi\right)^2+\left(y-1\right)^2=1$

d)

$\left(x-2\pi\right)^2+\left(y-1\right)^2=1$

e)

$\left(x-4\pi\right)^2+\left(y-1\right)^2=1$

21.

The corner convenience store sells candy bars at 4 for $2.91. At this price, how much would the store charge for 3 candy bars?

a)

$0.73

b)

$1.11

c)

$1.99

d)

$2.18

22.

Eliza bought a meal that cost $12. She tipped the waiter 25% of that amount. How much was the tip?

a)

$3.00

b)

$6.00

c)

$2.50

d)

$3.50

23.

Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?

a)

15

b)

35

c)

40

d)

45

24.

What is 4% of 80?

a)

320

b)

32

c)

3.2

d)

0.032

25.

Kyle is looking to buy a shirt for his girlfriend's birthday that normally cost $85. Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items. After the discount, Kyle must pay 6% sales tax on the shirt. How much does Kyle end up spending on this shirt for his girlfriend?

a)

$27.03

b)

$63.07

c)

$59.50

d)

$54.57

26.

Daphne always make sure to bring coupons to the store. While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price. After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.

a)

$3.78

b)

$3.63

c)

$$3.85

d)

$3.59

27.

Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?

a)

x < -9

b)

x < 5

c)

x<9

d)

x <39

28.

If q = -1, r = 4, and s = 7, what does (q + r - s) (r - q) equal

a)

2

b)

17

c)

3

d)

18

29.

What is the value of the expression (2x + y)(2x - y) when x = 4 and 4 = -5?

a)

39

b)

9

c)

13

d)

-9

30.

What is the value of 50 - 3(x² -y²) + x when
x= 6, and y = -4?

a)

-145

b)

-6

c)

-4

d)

44

31.

What is the x-intercept of the graph of y = x² – 4x + 4 ?

a)

-2

b)

-1

c)

1

d)

2

32.

Ms. Hernandez began her math class by saying:
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of?

a)

14

b)

15

c)

16

d)

18

33.

A cube with edges inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner?

a)

1/4

b)

3/4

c)

√3/2

d)

√2/2

34.

|-5| + |2| =

a)

-7

b)

3

c)

-3

d)

7

35.

What is the scientific notation of 6700000?

a)

6.7 x 10⁵

b)

67 x 10⁶

c)

6.7 x 10⁶

d)

67 x 10⁵

36.

Write the standard form. 8.98 x 10⁵

a)

89800000

b)

8980000

c)

8.9800000

d)

898000

37.

What is the area of a triangle whose base is 10 in and height is 5 in?

a)

50 in²

b)

30 in²

c)

15 in²

d)

25 in²

38.

What type of number is 5/8?

a)

Rational

b)

Irrational

c)

both

d)

neither

39.

^{There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?}

a)

1:5

b)

1:6

c)

5:6

d)

5:11

40.

Find the perimeter if x = 15 ft and y = 10 ft.

a)

50 ft

b)

25 ft

c)

60 ft

d)

150 ft

41.

Find the area if a = 13 in, b = 9 in and c = 16 in.

a)

38 in²

b)

117 in²

c)

468 in²

d)

58.5 in²

42.

What is the algebraic expression for "the sum of n and 9"?

a)

n - 9

b)

n + 9

c)

n/9

d)

9n

43.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

44.

Simplify
(1/3)(21m + 27)

a)

63m + 9

b)

7m + 9

c)

7m + 81

d)

7m + 27

45.

Find the number of degrees in the third angle of the triangle

a)

155

b)

112

c)

74

d)

68

46.

Find the measure of ∠ACD.

a)

130

b)

115

c)

65

d)

50

47.

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?

a)

514

b)

2,202

c)

5,138

d)

7,120

48.

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?

a)

4

b)

14

c)

16

d)

20

49.

What is the value of x when 2x + 3 = 3x – 4 ?

a)

-7

b)

-1/5

c)

1/5

d)

7

50.

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

a)

2

b)

6

c)

21

d)

42

51.

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)

17.5

c)

20.5

d)

22

52.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

l = 2w + 3

b)

l = w – 3

c)

l = 2w – 3

d)

l = w + 3

53.

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

a)

158

b)

110

c)

70

d)

120

54.

How many irrational numbers are there between 1 and 6 ?

a)

1

b)

3

c)

4

d)

Infinitely Many

55.

If xy = 144, x + y = 30, and x > y, what is the value of x – y ?

a)

18

b)

22

c)

4

d)

24

56.

Choose the letter that represents the missing length in the figure

a)

12

b)

10

c)

7

d)

6

57.

Which of the following is the sine of A in the right triangle below?

a)

5/13

b)

5/12

c)

12/5

d)

12/13

58.

Which of the following is a factor of the polynomial 2x2 – 3x – 5 ?

a)

2x-5

b)

x-1

c)

2x-3

d)

3x+5

59.

What is the slope of any line parallel to the line 9x + 4y = 7 ?

a)

-9

b)

7

c)

(9/7)

d)

-(9/7)

60.

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

a)

$56.00

b)

$77.60

c)

$50.00

d)

$44.00

61.

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

a)

30°

b)

15°

c)

45°

d)

60°

62.

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

a)

(3/5)

b)

(3/8)

c)

(7/8)

d)

(5/8)

63.

A circle has a circumference of 16π feet. What is the radius of the circle, in feet?

a)

√8

b)

4

c)

8

d)

16

64.

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

a)

200

b)

15

c)

50

d)

3√15

65.

In the standard (x,y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ?

a)

(2,2)

b)

(2,4)

c)

(5,4)

d)

(5,5)

66.

What is the difference between 1.8 and 1.08 ?
(Note: A bar indicates a digit pattern that is repeated.)

a)

0.71919...

b)

0.7111...

c)

0.7222...

d)

0.717171...

67.

If n = 8 and 16· 2‴ = 4″⁻⁸, then m = ?

a)

-2

b)

-4

c)

0

d)

8

68.

What is the x-intercept of the graph of y = x² – 4x + 4 ?

a)

-2

b)

-1

c)

1

d)

2

69.

Ms. Hernandez began her math class by saying:
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of?

a)

14

b)

15

c)

16

d)

18

70.

A cube with edges inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner?

a)

1/4

b)

3/4

c)

√3/2

d)

√2/2

71.

a)

20v+10

b)

20p+10v

c)

10(v+p)

d)

30(v+p)

72.

a)

$126

b)

$315

c)

$322.50

d)

$378

73.

a)

210

b)

231

c)

240

d)

245

74.

a)

1<x<2

b)

2<x<3

c)

3<x<4

d)

4<x

75.

a)

1<x<2

b)

2<x<3

c)

3<x<4

d)

4<x

76.

a)

60

b)

180

c)

2100

d)

210,000

77.

a)

2

b)

3

c)

4

d)

8

78.

a)

4

b)

12

c)

3

d)

72

79.

a)

-4a - 8b - 2c

b)

-4a - 4b + 8c

c)

-3a + 8b - 2c

d)

-3a - 4b + 8c

80.

a)

I and III only

b)

I, II, and III only

c)

I, III, and IV only

d)

II, III, and IV only

81.

a)

512

b)

384

c)

256

d)

192

82.

What type of number is 5/8?

a)

Rational

b)

Irrational

c)

both

d)

neither

83.

What is the area of a triangle whose base is 10 in and height is 5 in?

a)

50 in²

b)

30 in²

c)

15 in²

d)

25 in²

84.

Write the standard form. 8.98 x 10⁵

a)

89800000

b)

8980000

c)

8.9800000

d)

898000

85.

What is the scientific notation of 6700000?

a)

6.7 x 10⁵

b)

67 x 10⁶

c)

6.7 x 10⁶

d)

67 x 10⁵

86.

|-5| + |2| =

a)

-7

b)

3

c)

-3

d)

7

87.

^{There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?}

a)

1:5

b)

1:6

c)

5:6

d)

5:11

88.

The corner convenience store sells candy bars at 4 for $2.91. At this price, how much would the store charge for 3 candy bars?

a)

$0.73

b)

$1.11

c)

$1.99

d)

$2.18

89.

Eliza bought a meal that cost $12. She tipped the waiter 25% of that amount. How much was the tip?

a)

$3.00

b)

$6.00

c)

$2.50

d)

$3.50

90.

Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?

a)

15

b)

35

c)

40

d)

45

91.

What is 4% of 80?

a)

320

b)

32

c)

3.2

d)

0.032

92.

Kyle is looking to buy a shirt for his girlfriend's birthday that normally cost $85. Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items. After the discount, Kyle must pay 6% sales tax on the shirt. How much does Kyle end up spending on this shirt for his girlfriend?

a)

$27.03

b)

$63.07

c)

$59.50

d)

$54.57

93.

Daphne always make sure to bring coupons to the store. While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price. After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.

a)

$3.78

b)

$3.63

c)

$$3.85

d)

$3.59

94.

Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?

a)

x < -9

b)

x < 5

c)

x<9

d)

x <39

95.

If q = -1, r = 4, and s = 7, what does (q + r - s) (r - q) equal

a)

2

b)

17

c)

3

d)

18

96.

What is the value of the expression (2x + y)(2x - y) when x = 4 and 4 = -5?

a)

39

b)

9

c)

13

d)

-9

97.

What is the value of 50 - 3(x² -y²) + x when
x= 6, and y = -4?

a)

-145

b)

-6

c)

-4

d)

44

98.

Find the perimeter if x = 15 ft and y = 10 ft.

a)

50 ft

b)

25 ft

c)

60 ft

d)

150 ft

99.

Find the area if a = 13 in, b = 9 in and c = 16 in.

a)

38 in²

b)

117 in²

c)

468 in²

d)

58.5 in²

100.

What is the algebraic expression for "the sum of n and 9"?

a)

n - 9

b)

n + 9

c)

n/9

d)

9n

101.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

102.

What is the sum?
-7 + 5

a)

-2

b)

12

c)

-12

d)

2

103.

Simplify
(1/3)(21m + 27)

a)

63m + 9

b)

7m + 9

c)

7m + 81

d)

7m + 27

104.

Find the number of degrees in the third angle of the triangle

a)

155

b)

112

c)

74

d)

68

105.

Find the measure of ∠ACD.

a)

130

b)

115

c)

65

d)

50

106.

(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

107.

Find the sum.
(5x²-3x + 4) + (6x -3x²- 3)

a)

3x² + 2x + 1

b)

2x² + 3x +1

c)

2x² + 5x - 7

d)

3x²+ 4x⁵ -7x

108.

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

a)

30°

b)

15°

c)

45°

d)

60°

109.

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

a)

$56.00

b)

$77.60

c)

$50.00

d)

$44.00

110.

If n = 8 and 16· 2‴ = 4″⁻⁸, then m = ?

a)

-2

b)

-4

c)

0

d)

8

111.

What type of number is 5/8?

a)

Rational

b)

Irrational

c)

both

d)

neither

112.

What is 4% of 80?

a)

320

b)

32

c)

3.2

d)

0.032

113.

Find the measure of ∠ACD.

a)

130

b)

115

c)

65

d)

50

114.

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?

a)

4

b)

14

c)

16

d)

20

115.

What is the value of x when 2x + 3 = 3x – 4 ?

a)

-7

b)

-1/5

c)

1/5

d)

7

116.

a)

4

b)

12

c)

3

d)

72

117.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

l = 2w + 3

b)

l = w – 3

c)

l = 2w – 3

d)

l = w + 3

118.

Choose the letter that represents the missing length in the figure

a)

12

b)

10

c)

7

d)

6

119.

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

a)

2

b)

6

c)

21

d)

42

120.

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)

$408.04

b)

$444.40

c)

$118.80

d)

$ 44.44

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

F

b)

G

c)

H

d)

J

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

G

b)

H

c)

J

d)

K

125.

a)

A

b)

B

c)

D

d)

E

126.

a)

F

b)

G

c)

H

d)

K

127.

a)

A

b)

B

c)

C

d)

D

128.

a)

A

b)

B

c)

D

d)

E

129.

a)

A

b)

B

c)

C

d)

D

130.

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?

a)

4

b)

14

c)

16

d)

20

131.

What is the value of x when 2x + 3 = 3x – 4 ?

a)

-7

b)

-1/5

c)

1/5

d)

7

132.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

l = 2w + 3

b)

l = w – 3

c)

l = 2w – 3

d)

l = w + 3

133.

What is the slope of any line parallel to the line 9x + 4y = 7 ?

a)

-9

b)

7

c)

(9/7)

d)

-(9/7)

134.

What is the simplified form of the expression (3x-1)²?

a)

9x²-1

b)

9x²-6x+1

c)

9x²+1

d)

9x²+6x+1

e)

9x+1

135.

A certain task has 3 steps -- A, B, and C -- that must be performed in order, one after the next, with no break in between. If steps A and B together take a total of 12 minutes, steps B and C take a total of 20 minutes, and the entire task takes a total of 28 minutes, then how many minutes are required to perform step B only?

a)

2

b)

4

c)

8

d)

16

136.

Fifteen passengers agree to divide evenly the cost of renting a bus for a trip. If all but seven of the passengers have paid their share, and a total of $177.60 has been collected, what is the total cost of renting the bus?

a)

$246.15

b)

$333.00

c)

$828.80

d)

$1,555.40

137.

Leasing a car costs $179 per month plus $0.60 per mile driven. If your monthly car budget is $500, what is the farthest you can drive, to the nearest mile, in one month while remaining on budget?

a)

$5,040

b)

$5,240

c)

$5,350

d)

$5,450

138.

For a party, Irene buys plastic spoons and forks. The store sells one box of spoons for $8 and one box of forks for $10. Irene buys a total of 12 boxes of utensils for $104. How many boxes of spoons did Irene buy?

a)

7

b)

8

c)

9

d)

10

139.

At a carnival, a food vendor sold caramel apples for $3 each and candy apples for $7 each. Altogether, he sold 175 apples for &869. How many caramel apples did he sell?

a)

73

b)

77

c)

86

d)

89

140.

The square of a positive number minus the number equals 72. What is the value of the number?

a)

10

b)

9

c)

8

d)

7

141.

For what value of x is the equation (x + 7)² = (x + 1)² true?

a)

-8

b)

-6

c)

-4

d)

4

142.

What do I do if the problem only has variables and no numbers?

a)

Skip

b)

Guess

c)

Pick some numbers and plug in

143.

Hot dogs are sold in packages of 8. Hot dog buns are sold in packages of 12. A customer purchases an equal number of hot dogs and hot dog buns. What is the least number of hot dogs the customer can buy?

a)

3

b)

24

c)

40

d)

48

e)

72

144.

Area of a circle.

a)

A=πr²

b)

A=2πr

145.

Circumference of a circle.

a)

A=πr²

b)

A=2πr

146.

The radius is....

a)

a line that crosses through the center and touches each edge

b)

the center point of a circle

c)

a line from the center point to the edge of the circle

d)

an element in science

147.

Area of a Triangle

a)

A = 1/2h(b1 + b2)

b)

A = bh

c)

A = 1/2bh

148.

Area of a Parallelogram

a)

A = 1/2h(b1 +b2)

b)

A = bh

c)

A = 1/2bh

149.

A lunch menu has 3 types of sandwiches, 4 types of chips, and 5 types of drinks. How many ways can a person order a sandwich, chips and a drink?

a)

12

b)

25

c)

60

d)

120

150.

What is the x-intercept of the graph of y = x² – 4x + 4 ?

a)

-2

b)

-1

c)

1

d)

2

151.

An average, which is the sum of a list of numbers divided by the number of numbers in the list, is called

a)

mean

b)

median

c)

complex number

d)

mode

152.

If shapes have sides of the same length and their internal angles are of the same measure, then they are

a)

congruent

b)

transversal

c)

perpendicular

d)

rectangular

153.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

154.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

155.

A line with 0 slope looks like...

a)

A horizontal line

b)

A vertical line

c)

A slanted line

d)

A coordinate pair

156.

What is the value of the expression (y-x)³ when x =5 and y = 1?

a)

-64

b)

64

c)

-4

d)

16

157.

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?

a)

514

b)

2,202

c)

5,138

d)

7,120

158.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

159.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

ACT Practice

Total questions: 159

Worksheet time: 5hrs 18mins

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