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Transcript
Test 5-Section 6 (Maths)
When you're ready click 'Start' then answer the questions.
Directions: You have 25 minutes to complete the 20 questions.
Directions are included in the corresponding supplement. You can open
the supplement by clicking on "view" in the supplement column in your
portal for Test 5 Section 6
1. The use of a calculator is permitted.
2. All numbers used are real numbers.
3. Figures that accompany (given in supplement) problems in this test
are intended to provide information useful in solving the problems.
They are drawn as accurately as possible EXCEPT when it is stated in a
specific problem that the figure is not drawn to scale. All figures lie in a
plane unless otherwise indicated.
4. Unless otherwise specified, the domain of any function f is assumed
to be the set of all real numbers x for which f(x) is a real number.
Time : 00:25:00
Total Points : 200
Passing Score : 0%(0 points)
No
1
Questions
2, 6, 14, 30,...
In the sequence above, the first term is 2. Each
number after the first is obtained by adding 1 to
the preceding number and then doubling the
result. What is the sixth number in the sequence?
( )
( )
( )
( )
(x)
2
3
4
10
32.5
37.5
40
55
60
How many different positive three-digit integers
can be formed if the three digits 4, 5, and 6 must
be used in each of the integers?
( )
( )
(x)
( )
( )
10
3
5
15
25
30
On the speedometer in the given figure, what is
the speed, in miles per hour, indicated by the
needle position?
( )
(x)
( )
( )
( )
Points
10
122
123
124
125
126
If a(x + y) = 45 and ax = 15, what is the value of
ay ?
( )
( )
( )
( )
(x)
Image
Three
Four
Six
Eight
Nine
10
5
The three-dimensional figure represented in the
given figure consists of rectangular and triangular
faces. Each rectangular face has area r and each
triangular face has area t. What is the total
surface area of the figure, in terms of r and t ?
( )
(x)
( )
( )
( )
6
10
The average (arithmetic mean) of the weights of
14 books is p pounds. In terms of p, what is the
total weight of the books, in pounds?
10
Point B is the midpoint of line segment AC in the
given figure. What is the value of t ?
10
( )
( )
( )
( )
(x)
8
( )
( )
(x)
( )
( )
9
14 + p
p -14
p/14
14/p
14p
1
1.5
2
2.5
3
10
If all men in the Williams family are over six feet
tall, which of the following statements must be
true?
10
(x)
( )
( )
( )
( )
11
1
2
3
4
5
If k(2x + 3)(x - 1) = 0 and x > 1, what is the
value of k ?
( )
(x)
( )
( )
( )
10
2r + t
3r + 2t
4r + 3t
6rt
(r^3)(t^2)
If n is a positive integer and (n + 1) / (2^n) =
1/2, then n =
( )
( )
(x)
( )
( )
7
10
-3/2
0
2/3
1
2
No man under six feet tall is a member of the
Williams family.
All men over six feet tall are members of the Williams
family.
All men who are not members of the Williams family
are under six feet tall.
Every member of the Williams family over six feet tall
is a man.
There is one man in the Williams family under six
feet tall.
What is the radius of a circle that has a
circumference of (Pi)?
( )
(x)
( )
( )
1/4
1/2
1
2
10
( )
12
10
If 4x = 6u = 5v = 7w > 0, which of the following
is true?
10
( )
( )
( )
(x)
( )
13
( )
( )
( )
(x)
( )
14
If x is divisible by 3 and y is divisible by 5, which
of the following must be divisible by 15 ?
I.xy
II.3x + 5y
III.5x + 3y
10
35
11
7
-7
-11
I only
III only
I and II only
I and III only
I, II, and III
In the given figure, y + z =
( )
( )
( )
( )
(x)
17
x<v<u<w
x<u<v<w
x<v<w<u
w<u<v<x
u<v<w<x
10
( )
( )
( )
(x)
( )
16
3/4
3/2
9/4
3
9
Let the function h be defined by h(t) = 2(t^3 -3).
When h(t) = -60, what is the value of 2 - 3t ?
( )
(x)
( )
( )
( )
15
4
If y is directly proportional to (x^2) and y = 1/8
when x = 1/2 , what is the positive value of x
when y = 9/2 ?
The sum of three consecutive odd integers is 111.
If n represents the least of the three integers,
which of the following equations represents the
statement above?
( )
( )
( )
(x)
( )
10
180
195
215
230
245
3n = 111
3n + 2 = 111
3n + 4 = 111
3n + 6 = 111
3n + 9 = 111
10
18
The given figure shows part of a circle whose
circumference is 45. If arcs of length 1 and length
b continue to alternate around the entire circle so
that there are 18 arcs of each length, what is the
DEGREE measure of each of the arcs of length b ?
(x)
( )
( )
( )
( )
19
20
10
4 degrees
6 degrees
10 degrees
16 degrees
20 degrees
The cost of maintenance on an automobile
increases each year by 10 percent, and Andrew
paid $300 this year for maintenance on his
automobile. If the cost c for maintenance on
Andrew's automobile n years from now is given by
the function c(n) = 300(x^n), what is the value of
x?
( )
( )
(x)
( )
( )
0.1
0.3
1.1
1.3
3.0
( )
(x)
( )
( )
( )
SQRT(2)
SQRT(3)
SQRT(2)
SQRT(3)
SQRT(3)
If the five line segments in the given figure are all
congruent, what is the ratio of the length of line
segment AC (not shown) to the length of line
segment BD?
to
to
to
to
to
1
1
2
2
SQRT(2)
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