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ACT Math Practice

Total questions: 52

Worksheet time: 52mins

Name
Class
Date
1.
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°
2.
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
3.
If n = 8 and 16· 2‴ = 4″⁻⁸, then m = ?
a)
-2
b)
-4
c)
0
d)
8
4.
What type of number is 5/8?
a)
Rational
b)
Irrational
c)
both
d)
neither
5.
What is 4% of 80?
a)
320
b)
32
c)
3.2
d)
0.032
6.
Find the measure of ∠ACD. 
a)
130
b)
115
c)
65
d)
50
7.
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
8.
What is the value of x when 2x + 3 = 3x – 4 ?
a)
-7
b)
-1/5
c)
1/5
d)
7
9.
a)
4
b)
12
c)
3
d)
72
10.
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
11.
Choose the letter that represents the missing length in the figure
a)
12
b)
10
c)
7
d)
6
12.
What is the greatest common factor of 42, 126, and 210 ?
a)
2
b)
6
c)
21
d)
42
13.
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
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
F
b)
G
c)
H
d)
J
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
G
b)
H
c)
J
d)
K
18.
a)
A
b)
B
c)
D
d)
E
19.
a)
F
b)
G
c)
H
d)
K
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
D
d)
E
22.
a)
A
b)
B
c)
C
d)
D
23.
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
24.
What is the value of x when 2x + 3 = 3x – 4 ?
a)
-7
b)
-1/5
c)
1/5
d)
7
25.
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
26.
What is the slope of any line parallel to the line 9x + 4y = 7 ?
a)
-9
b)
7
c)
(9/7)
d)
-(9/7)
27.

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

28.
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)
d)
16
29.
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
30.
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
31.
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
32.
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
33.
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
34.
For what value of x is the equation (x + 7)2 = (x + 1)2 true?
a)
-8
b)
-6
c)
-4
d)
4
35.
What do I do if the problem only has variables and no numbers?
a)
Skip
b)
Guess
c)
Pick some numbers and plug in
36.

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

37.
Area of a circle.
a)
A=πr²
b)
A=2πr
38.
Circumference of a circle.
a)
A=πr²
b)
A=2πr
39.
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
40.
Area of a Triangle
a)
A = 1/2h(b1 + b2)
b)
A = bh
c)
A = 1/2bh
41.
Area of a Parallelogram
a)
A = 1/2h(b1 +b2)
b)
A = bh
c)
A = 1/2bh
42.
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
43.
What is the x-intercept of the graph of y = x² – 4x + 4 ?
a)
-2
b)
-1
c)
1
d)
2
44.
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
45.
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
46.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
47.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
48.
A line with 0 slope looks like...
a)
A horizontal line
b)
A vertical line
c)
A slanted line
d)
A coordinate pair
49.
What is the value of the expression (y-x)³ when x =5 and y = 1?
a)
-64
b)
64
c)
-4
d)
16
50.
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
51.
Find the perimeter
a)
25cm
b)
35cm
c)
50cm
d)
100cm
52.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2