3/1/23, 2:45 PM
ACT Quiz Review
NAME :
CLASS :
ACT Quiz Review
22 Questions
1.
DATE :
There are 5 chocolate chip cookies, 3 sugar cookies, 4 peanut butter cookies, and 2 lemon
cookies in a paper bag. What is the probability that you reach in without looking and
choose a cookie that is NOT peanut butter?
A
4
14
C
4
10
E
14
10
​
​
B
10
14
D
10
10
​
​
​
2.
You roll two dice, numbered 1-6. Which answer below is closest to the probability that
you roll a prime number on both dice?
A
25%
B
50%
C
33%
D
11%
E
44%
?
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ACT Quiz Review
3.
A
A.
B
B.
C
C.
D
D.
E
E.
4.
A package of t-shirts contains the following colors: black, white, gray, blue, and red. In
2
each package,
of the shirts are black and the remaining shirts are an even distribution
5
of the other 4 colors. What is the probability that a shirt picked randomly from the
package is blue?
​
A
3
5
C
3
20
E
3
25
​
​
B
1
10
D
5
12
​
​
​
5.
What is the least common multiple of 24, 15, and 32?
A
768
B
96
C
120
D
8
E
480
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ACT Quiz Review
6.
Given functions f (x) = −3x + 4 and g (x) = 2x + 7 , find g (f (−2)) .
A
10
B
3
C
27
D
5
E
30
7.
What is the 322nd digit of the repeating decimal 0.51429 ?
A
5
B
1
C
4
D
2
E
9
8.
What is the value of −2 ∣5 − 7∣ + ∣6 − 3∣
A
−1
B
1
C
7
D
−7
E
6
9.
If f (x) = 2x2 − 10x + 6 , find f (−1) .
A
18
B
14
C
−2
D
−6
E
6
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10.
ACT Quiz Review
Simplify the expression:
5+i
2−i
​
A
9 + 7i
5
C
11 + 3i
5
E
5 − 2i
2
11.
​
​
B
9 − 7i
5
D
11 − 3i
5
​
​
​
Which of the equations below represents a circle with center (−5, 2) and radius 4 units?
A
2
2
(x − 5) + (y + 2) = 4
B
2
2
(x − 5) + (y + 2) = 16
C
2
2
(x + 5) + (y − 2) = 4
D
2
2
(x + 5) + (y − 2) = 16
E
(x − 5)2 + (y + 2)2 = 2
12.
A
x2 y2
+
=1
4
7
B
x2
y2
+
=1
8
14
C
x2
y2
+
=1
16 49
D
(x − 4)2 + (y − 7)2 = 1
E
2
2
(x + 4) + (y + 7) = 1
​
​
​
​
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ACT Quiz Review
13.
What is the area of the region located outside of the smaller circle and inside the larger
circle?
A
2π
B
16π
C
4π
D
25π
E
9π
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14.
The track for a model train is set up as 2 circles that are tangent to one another and have
diameters or 30 feet and 50 feet, respectively. The engine of the train travels at a constant
rate of 85 feet per minute. To the nearest minute, how many minutes does the engine
take to go in a figure 8 pattern around the entire track exactly 1 time?
A
1 minute
B
2 minutes
C
3 minutes
D
31 minutes
E
10 minutes
15.
Jenna and her friends purchased a pack of a dozen cookies from Subway for $7.50. If
Jenna ate 5 of the cookies, what would be a fair price for her to pay for the portion that
she ate?
A
$4.38
B
$.63
C
$3.75
D
$3.13
E
$5.52
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16.
The first four terms of an arithmetic sequence are given below. What will be the 20th
term?
210, 206, 202, 198, ...
A
134
B
130
C
118
D
122
E
126
17.
Sam works at Glendale Hospital and earns $12 per hour for the first 40 hours and $18 per
hour for every additional hour he works each week. Last week, Sam earned $570. To the
nearest whole number, how many hours did he work?
A
32
B
35
C
38
D
45
E
48
18.
At LCHS, 50 students are going to the DECA conference. Of these students, 25 have a
rolling suitcase, 30 students have a duffel bag, and 2 students forgot their luggage at
home. How many students brought both types of luggage?
A
5
B
7
C
27
D
12
E
2
19.
Solve the equation below.
25x+1 = 5x−3
A
-4
B
4
C
-1
D
2
E
-5
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20.
Let a be an even integer and b be an odd integer. Which statement must be true?
A
The sum of a and b is even.
B
The product of a and b is even.
C
The product of a and b is odd.
D
The difference of a and b is equal to 2.
E
None of the above
21.
A line through the origin and (2, 5) is shown in the standard (x, y) coordinate plane. The
acute angle between the line and the positive x-axis has measure A. What is the value of
tan(A)?
A
2
5
B
​
2
29
C
29
5
E
​
5
2
​
5
29
D
​
​
​
​
​
22.
What is the slope of the line 2x + 3y = 15 ?
A
5
C
−
2
3
E
−
3
2
​
B
2
3
D
3
2
​
​
​
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