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WorksheetsACT Math/Finals Review
Total questions: 44
Worksheet time: 3hrs 47mins
Name
Class
Date
1.
What is the benchmark score for the ACT math?
a)
22
b)
21
c)
23
d)
24
2.
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
3.
What is the greatest common factor of 42, 126, and 210 ?
a)
2
b)
6
c)
21
d)
42
4.
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
a)
158
b)
110
c)
70
d)
120
5.
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
6.
What is the slope of any line parallel to the line 9x + 4y = 7 ?
a)
-9
b)
7
c)
(9/7)
d)
-(9/7)
7.
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
8.
a)
$126
b)
$315
c)
$322.50
d)
$378
9.
a)
60
b)
180
c)
2100
d)
210,000
10.
a)
I and III only
b)
I, II, and III only
c)
I, III, and IV only
d)
II, III, and IV only
11.
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
12.
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
13.
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
14.
Find the measure of ∠ACD.
a)
130
b)
115
c)
65
d)
50
15.
Find the sum.
(5x2 -3x + 4) + (6x -3x2 - 3)
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
16.
a)
F
b)
G
c)
J
d)
K
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
F
b)
G
c)
H
d)
J
19.
a)
G
b)
H
c)
J
d)
K
20.
a)
A
b)
B
c)
D
d)
E
21.
a)
G
b)
H
c)
J
d)
K
22.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
23.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
24.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
25.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
26.
Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
27.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
28.
What is the co-terminal angle of 210⁰ ?
a)
-30⁰
b)
-150⁰
c)
-40⁰
d)
150⁰
29.
What is the degree measure of an arc whose measure is 2π/3?
a)
140°
b)
315°
c)
225°
d)
120°
30.
What is the reference angle of -5π/6?
a)
π/3
b)
7π/6
c)
π/6
d)
2π/3
31.
What is the reference angle of -2π/3 in radians?
a)
π/3
b)
4π/5
c)
7π/11
d)
π/2
32.
Convert 140 to radians
a)
7/9π
b)
6/11π
c)
12/17π
d)
4/7π
33.
Convert 7π/8 to degrees
a)
137°
b)
203.7°
c)
135°
d)
157.5°
34.
What quadrant is -160 degrees?
a)
I
b)
II
c)
III
d)
IV
35.
Given: B = 70°, a = 11, C = 40° Find: c
a)
11
b)
7.5
c)
70
d)
8
36.
Solve the Triangle
B= 85°, C= 47°, and a=19
Find A, b, and c
B= 85°, C= 47°, and a=19
Find A, b, and c
a)
A= 48°, b=25.5, c= 17.8
b)
A= 48°, b= 19.5, c= 23.4
c)
A= 90°, b= 14, c= 23.6
d)
A= 39°, b= 19, c= 19√2
37.
Find the area:
a)
104.5 units²
b)
120 units²
c)
80.5 units²
d)
2400 units²
38.
Use law of cosines,
A triangle has sides equal to 5 cm, 10 cm and 7 cm. Find its angles
A triangle has sides equal to 5 cm, 10 cm and 7 cm. Find its angles
a)
A=111.8 B= 40.5 C=27.7
b)
A=110.4 B= 40.5 C=29.1
c)
A=113.7 B= 24.1 C=42.2
39.
Find the area of the triangle
a=8 b=6 C=87
²²
a=8 b=6 C=87
²²
a)
24u²
b)
29u²
40.
Find the area of the given triangle XYZ; x= 10, y= 8, and z=16. Round your answer to the nearest tenth.
a)
33.4 units squared
b)
55.3 units squared
c)
32.7 units squared
d)
There is not enough information to find the area.
41.
Heron's Formula, the square root of
s(s-a)(s-b)(s-c), can be used to solve for the area of a triangle. How is the "s" value calculated?
s(s-a)(s-b)(s-c), can be used to solve for the area of a triangle. How is the "s" value calculated?
a)
s= cosx
b)
s= 1/2ab
c)
s= 1/2 (a+b+c)
d)
s= 1/2 (a-b)c
42.
a)
3pi/4
b)
pi/4
c)
5pi/4
d)
-3pi/4
43.
a)
pi/3
b)
pi/4
c)
-pi/4
d)
pi
44.
a)
-pi/3
b)
4pi/3
c)
-2pi/3
d)
2pi/3
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