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WorksheetsACT Math
Total questions: 60
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
a)
62/150
b)
66/150
c)
68/150
d)
73/150
2.
The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310, respectively. What is the mean of these monthly fees?
a)
310
b)
340
c)
342
d)
350
3.
On a particular road map, 1/2 inch represents 18 miles. About how many miles apart are 2 towns that are 2.5 inches apart on this map?
a)
18
b)
22.5
c)
36
d)
90
4.
a)
0.45
b)
4.5
c)
15
d)
45
5.
a)
10
b)
16
c)
58
d)
100
6.
Jorge's current hourly wage for working at Denti Smiles is $12.00. Jorge was told that at the beginning of next month, his new hourly wage will be an increase of 6% of his current hourly wage. What will be Jorge's new hourly wage?
a)
12.06
b)
12.60
c)
12.72
d)
18
7.
The first term is 1 in the geometric sequence 1, -3, 9, -27, ...What is the SEVENTH term of the geometric sequence?
a)
-243
b)
-30
c)
81
d)
729
8.
a)
9.75
b)
16.50
c)
19.75
d)
20
9.
a)
13
b)
15
c)
16
d)
52
10.
a)
16
b)
19
c)
20.5
d)
23.5
11.
a)
d=t+14
b)
d=6t+8
c)
d=6t+14
d)
d=14t+6
12.
a)
6
b)
15
c)
24
d)
30
13.
In the figure below, C is the intersection of AD and BE. If it can be determined, what is the measure of Angle BAC?
a)
80
b)
100
c)
110
d)
Cannot be determined form the given information
14.
Antwan drew the circle graph below describing his time spent at school in 1 day. His teacher said that the numbers of hours listed were correct, but that the central angle measures for the sectors were not correct. What should be the central angle measure for the Core subjects sector?
a)
72
b)
80
c)
160
d)
200
15.
a)
20
b)
28
c)
35
d)
42
16.
a)
1/44
b)
29 1/3
c)
44
d)
102 2/3
17.
a)
43
b)
47
c)
94
d)
133
18.
a)
1/2<5/8<5/6
b)
5/6<1/2<5/8
c)
5/6<5/8<1/2
d)
5/8<1/2<5/6
19.
a)
1.37 x 10-9
b)
1.37 x 107
c)
1.37 x 108
d)
1.37 x 109
20.
For trapezoid ABCD shown below, AB||DC, the measures of the interior angles are distinct, and the measure of <D is x. What is the degree measure of <A in terms of x?
a)
180-x
b)
180-0.5x
c)
180+0.5x
d)
180+x
21.
a)
200
b)
480
c)
600
d)
750
22.
a)
acb
b)
ac2b
c)
(ac)b
d)
(ac)2b
23.
a)
9xy2
b)
18xy
c)
3xy2+12x
d)
9xy2-2y3
24.
a)
100
b)
150
c)
200
d)
300
25.
Las month, Lucie had total expenditures of $900. The pie chart below breaks down these expenditures by category. The category in which Lucie's expenditures were greatest is what percent of her total expenditures to the nearest 1%?
a)
24%
b)
28%
c)
32%
d)
34%
26.
In the figures shown below, the measure of <BAC is (x+20)0 and the measure of <BAD is 900. What is the measure of <CAD?
a)
(x-70)0
b)
(70-x)0
c)
(70+x)0
d)
(160-x)0
27.
What is the perimeter, in inches, of the isosceles right triangle shown below, whose hypotenuse is 8√2 inches long?
a)
8
b)
8+16√2
c)
16
d)
16+8√2
28.
a)
2 distinct positive real solutions
b)
2 distinct negative real solutions
c)
1 positive real solution and 1 negative real solution
d)
2 real solutions that are not distinct
29.
What is the product of the complex numbers (-3i+4) and (3i+4)?
a)
1
b)
7
c)
25
d)
-7+24i
30.
The radius of the base of the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations gives the measure, θ, of the angle formed by a slant height of the cone and a radius?
a)
tan θ = 5/7
b)
tan θ = 7/5
c)
sin θ = 5/7
d)
sin θ = 7/5
31.
To make a 750-piece jigsaw puzzle more challenging, a puzzle company includes 5 extra pieces in the box along with the 750 pieces, and those 5 extra pieces do not fit anywhere in the puzzle. If you buy such a puzzle box, break the seal on the box, and immediately select 1 piece at random, what is the probability that it will be 1 of the extra pieces?
a)
1/5
b)
1/755
c)
1/750
d)
5/755
32.
a)
3/5
b)
7/12
c)
9/16
d)
17/24
33.
A 15-foot wall is how many inches long in the scale drawing?
a)
1.5
b)
1.875
c)
3
d)
3.375
34.
Gianna will install tile on the portion of the floor that will NOT be covered by cabinets What is the area, in square feet, of the portion of the floor that will NOT be covered by cabinets?
a)
72
b)
90
c)
140
d)
156
35.
CC Installations' estimate consists of a $650.00 charge for labor, plus a fixed charge per cabinet. The labor charge and the charge per cabinet remain the same for any number of cabinets built and installed. CC Installations would give Gianna what estimate if the craft room were to have twice as many cabinets as Gianna is planning to have?
a)
$2,800.00
b)
$3,000.00
c)
$3,450.00
d)
$3,650.00
36.
a)
F
b)
G
c)
J
d)
K
37.
What is the difference between the mean and the median of the set {3, 8, 10, 15}?
a)
0
b)
1
c)
4
d)
9
38.
a)
f(x)=g(x) for exactly 2 values of x
b)
f(x)=g(x) for exactly 2 value of x
c)
f(x)<g(x) for all x
d)
f(x)>g(x) for all x
39.
What is the slope of CD?
a)
-3
b)
-1
c)
1
d)
5/21
40.
When ABCD is reflected over the y-axis to A'B'C'D', what are the coordinates of D'?
a)
(-12,1)
b)
(-12,-1)
c)
(12,-1)
d)
(1,12)
41.
Which of the following vertical lines cuts ABCD into 2 trapezoids with equal areas?
a)
x=3.5
b)
x=4.5
c)
x=5.5
d)
x=6.5
42.
a)
-3/2
b)
-2/3
c)
0
d)
3/2
43.
a)
p is divided by 6
b)
p is divided by 2
c)
p does not change
d)
p is multiplied by 4
44.
The points E(6,4) and F(14,12) lie in the standard (x,y) coordinate plane shown below. Point D lies on EF between E and F such that the length of EF is 4 times the length of DE. What are the coordinates of D?
a)
(7,5)
b)
(8,6)
c)
(8,8)
d)
(10,8)
45.
a)
4/3
b)
27/2
c)
26
d)
27
46.
a)
13 1/3
b)
13 1/2
c)
15
d)
16
47.
a)
Tenth
b)
Eleventh
c)
Twelfth
d)
All grades are equally likely
48.
a)
F
b)
G
c)
H
d)
J
49.
a)
A
b)
B
c)
C
d)
D
50.
a)
300
b)
240
c)
200
d)
150
51.
a)
3:5
b)
5:3
c)
8:4
d)
15:4
52.
a)
F
b)
G
c)
H
d)
J
53.
a)
A
b)
B
c)
C
d)
D
54.
A dog eats 7 cans of food in 3 days. At this rate, how many cans of food does the dog eat in 3+d days?
a)
G
b)
H
c)
J
d)
K
55.
a)
65
b)
47
c)
18
d)
8
56.
a)
G
b)
H
c)
J
d)
K
57.
a)
a<0 and b=0
b)
a<0 and b>0
c)
a=0 and b>0
d)
a>0 and b<0
58.
a)
G
b)
H
c)
J
d)
K
59.
a)
F
b)
G
c)
H
d)
J
60.
Who's your favorite math teacher?
a)
Mrs. Slate
b)
Ms. McKee
c)
Ms. Muchowizc
d)
Really?
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