ASTB Math Skills Test MST

188 cards

IE or Firefox are the preferred browsers.  For each question, select the option that is most nearly correct. If you answer the questions in order: the ASTB Marine Gouge Math Test questions were the first questions to be added to this set, from #3-52. the Peterson's Master the Officer Candidate Tests Math Skills ebook questions start from #53-82. the Barron's Official Candidate School Tests Book practice...


 
  
Created Apr 13, 2010
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  Side A   Side B
1

Which is the following fractions is the largest?


1/2

3/4

5/8

11/16

23/32

 
3/4
2

Arrange these fractions in order of size from largest to smallest: 1/3, 2/5, 4/15


4/15,...

 
2/5, 1/3, 4/15
3

What is the total nbr of degress in 3 angles of a triangle?


90

100

120

180

 
180
4

(0.2)²


0.02

0.04

0.2

0.4

 
0.04
5

300% is the same as


.03

.3

3

300

 
3
6

A marine fired X rounds of ammunition, gave 2X to his buddy, and had 27 remaining in a magazine....

 
31
7

In the figure, if ACD is a straight line and AB = BC, then X =


90

135

145

180

 

135

8

Which is true?


2/25 < 1/10

1/10 >3/30

2/28 <...

 
2/25 < 1/10
9

X/4 + X =


x/4

2x/4

4x

5x/4

 
5x/4
10

X-X/2


X/2

2x

4x

3x/2

 
X/2
11

Perimeter of a rectange is 180 ft, the width is 1/2 of the length, what is the length?


30

60

90

100

 
60
12

If 3 times X exceeds 1/3 of y by 9, which of the following is the equation that shows the...

 
3x - 1/3y = 9
13

The avg of 1/25 and 1/100 is


1/50

1/40

1/20

5/100

 
1/40
14

The destruction of a particular bridge requires 3 1/2 tons of C4 explosive. How many tons...

 
1 1/6
15

If (Y*Y*Y)/(Y+Y) = 2, then Y =


0

1

2

4

 
2
16

74 - (12-20)=


42

56

66

82

 
82
17

If 100 times x is between 50 and 100, then x could be

.50

.25

.75

1.00

 
.75
18

The avg temperature during a 4 day period was 73°. If the temperature on the first 3 days...

 
73
19

If 20% of a number is 2.5, what is the nbr?


1.25

10

12.5

25

 
12.5
20

What is the area, in square ft, of the figure?


32

54

63

72

 
63
21

The equation x= 1/2 t(y-z) is equivalent to the equation y=


1/2t( y...

 
2x/t + z
22

The expeditionary airfields with the same length are 100 ft wide and 200 ft wide, respectively....

 
1200
23

Two amino cans contain various nbrs of live bullets and blank bullets. Ammo can X contains...

 
The one selected from ammo can X
24

In the square WXYZ figure, AX = 1, YZ =2 and XB =BY. What is the perimeter of polygon WABYZ?


10

8...

 
6 + √2
25

While assulting a fortified machine gun bunker, a marine fired 2000 rounds during two engagements....

 
1400
26

A square tarp is x feet on a side. If 4 ft of another tarp is sewn across one end so that...

 
x² + 4x
27

It will take 4 hrs 32 min 30 sec to dig one part of a mortar pit. If the other part will...

 

3 hrs 24 min 22.5 sec

28

In the right triangle XYZ, /_Y =


72°

54°

18°

22°

 
72°
29

In the figure, if O is the center of the circle, and all the sides of the polygon are equal,...

 
90°
30

At a mess night, there are only captains, 2nd lieutenants, and 1st lieutenants (sounds like...

 
55
31

What is the closent approximation to (0.0010197)(5001)(42.974)?


1000

28

215

74

 
215
32

There are exactly four times as many V-22s as CH-53Es in a marin expeditionary composite...

 
35
33

6 M16s and 4 pistols cost J dollars. 4 M16s and 6 pistols cost T dollars which of the following...

 
1/10(J + T)
34

At most, less than one third the round in PRivate Banotz's magazines are tracers. If there...

 
< 50
35

Two F-18s are catapulted off an aircraft carrier and fly on courses that diverge at a 60°...

 
2 2/5
36

For all real numbers, x and y, x * y = y(x+1)


If -4 * j = -6, then...

 
j = 2
37

What is the formula for a cube?


V= Bh

V= 1/3bh

V= π...

 
V=Bh or wh
38

What is the formula for the area of a square?


A= (S² √3 ) /4

A...

 
A = S²
39

What is the area of a triangle?


A = 2(L+W)

A = 4S

A=...

 
A = 1/2 bh
40

Area of a rectangle?


A = 2(L+W)

A = Lwh

A =...

 
A = LW
41

Area of a trapezoid?


A = 4s

A = π d² /4

A...

 

A = h 1/2(b1 + b2)

or

A = hm

42

What is the formula to find the hypotenuse of a triangle?


1/3 Bh

1/2...

 
c² = a² + b²
43

What is the square root of .09?


.3

.03

3

.09

 
.3
44

If a fuel mixtures required 3 1/2 gallons of gasoline, how many gallons would be needed...

 
7/8
45

If 35% of X is 3.5, what is X?


20

30

10

15

 
10
46

There are 3 times as many red balls as blue balls. How many balls can there be?


13

9

10

16

 
9
47

The coordinates of point X are (1,2), the coordinates of point Y are (4/6). What is the...

 
5
48

(x² -x-2)/(x+1)


x+1

x-2

x+2

x² 

 
x-2
49

The volume of a cube A to the volume of cube B is 8:1. If an edge of cube C is twice as...

 
1:64
50

1432.678


In the nbr above, what are the values for the following?


Tens

Units

Hundreds

Thousands

Tenths

Thousandths

Hundredths

 

Tens               3

Units               2

Hundreds    ...

51

In the diagram, the area of rectangle ABCD is 10 and the distance from point D to point...

 
5
52

What is the area of the triangle shown?


36

6

18√3

9√3

 
9√3
53

A 6 ft tall farmer wants to determine the height of his barn. He notices that his shadow...

 
45 ft
54

What is the square root of 16 raised to the 4th power?


16

64

128

256


 
256
55

If the sum of the edges of a cube is 48 in, the volume of the cube is


4...

 
64 cubic inches
56

If the tax rate is 3 1/2 % and the amount to be raised is 6440, what is the base?


180,000

181,000

182,000

184,000

 
184,000
57

Each corridor contains 8 to 10 classrooms and each classrom contains 20 -24 students. If...

 
160
58

At 0800, two trains started out from the same station. One travels north at the rate of...

 
1300
59

How much pure acid must be added to 12 ounces of a 40% acid solution in order to produce...

 
6 ounces
60

If x varies directly as y² and if x = 9 when y = 2, what is the value of x when y = 8?


32

130

144

168

 
144
61

The hour hand of a clock is 3 ft long. How many ft does the tip of this hand move between...

 
62

Find the second of 3 consecutive integers if the sum of the first and the third is 26


10

11

12

13

 
13
63

Find the area of a square circumscribed about a circle whose radius is 10


31...

 
400
64

An island is defended by a battery of coastal guns placed at the easternmost point of the...

 
30 minutes
65

A team won 25 games in a 40-game season. Find the ratio of games won to games lost.


3...

 
5 : 3
66

If the entrance requirement of a certain college is 82, what mark must a student have in...

 
79
67

Two planes started at the same time from the same airport and flow in opposite directions....

 
285 mph
68

One recruit can complete a certain assignment in 40 min; another recruit can complete the...

 
24 min
69

If (x - y)² = 40 and x² + y² = 60, then xy=


40

20

12

10

 
10
70

If a triangle of base 6 has the same area as a circle of radius 6, what is the altitude...

 
12π
71

What is next

5 3 9 7 21 19 __


41

45

49

57

 

57


72

In the figure, what is the measure of angle x?


35°

45°

55°

70°

 
55°
73

Two trains running on the same track travel at the rates of 30 and 35 mph, respectively....

 
6 hours
74

A naval detachment has enough rations to feed 16 ppl for 10 days. If four more ppl join...

 
2 days
75

A field can be plowed by 9 machines in 5 hrs. If 3 machines are broken and cannot be used,...

 
7 1/2 hrs
76

What is the square root of 9 raised to the fourth power?


12

27

49

81

 
81
77

If 2˟ˉ² = 32, then x =


5

7

8

12

 
7
78

Jane received grades of 90, 88, and 75 on 3 tests. What grade must she receive on the next...

 
91
79

A family drove from New York to San Francisco, a distance of 3000 miles. They drive 1/10...

 

2400 miles

80

In a 3 hr examination of 320 questions, there are 40 mathematics problems. If twice as much...

 
40 minutes
81

100,000 may be represented as 


10^4

10^5

10^6

10^7

 
10^5
82

If a = 3b and 6b =12c, then a =


6c

9c

12c

15c

 
6c
83

The Hair Palace gives a 5 1/2 % discount to senior citizens. If Pam is 67 yrs old, and her...

 
70.88
84

2x (3xy + y) =


6xy + 2xy

6x²y + 2xy

3xy +...

 
6x²y + 2xy
85

What is the area of a circle?

 
A = π r²
86

Find the area of the shaded portion of the figure


10.57 square...

 
12.86 square feet
87

You are in charge of purchasing food for the annual Fourth of July picnic. If you purchase...

 
1623.10
88

Yolanda invested $500 in an invest account and received $650 after 3 yrs. How much was her...

 
10%
89

Susan can paint a room in 6 hrs, while Tom can paint the same room in 5 hrs. Working together,...

 
2.73 hrs
90

(5.37 x 10²) x (2.54 x 10^5) =


13.6398 x 10

13.6398 x...

 
13.6398 x 10^7
91
This Mathematical Property or technique lets you multiply a sum by multiplying each addend...
 
Distributive Property
92

Apply the Distributive Property and simplify the following: -7(4x+5) -8


-28x...

 
-28x - 43
93

1/2x - 1/10 = 1/5x + 1/2


2

4

6

8

 
2
94

What is the area of a triangle?

 
1/2 bh
95

Given the radius, how do u find the diameter

 
The radius is 1/2 a diameter, so multiply by 2.
96

What is the area of the shape?


4π  + 12 square feet

6(π...

 
9π/2 + 12 square feet
97

How do u find the area of a rectangle?

 
A = L x W
98

How many square inches in a square ft?

 

12 in. x 12 in. =

1 square ft.

144 square in.

99

If each brick is 3 inches wide and 5 inches long, how many bricks would u need to build...

 
1536
100

An imaginary number "i" is defined solely by the property that its square is 

 

i² = -1


In Electrical Engineering, j is used instead of i

101

(9i + 6)(3i - 7) =


27i² - 7i

-45i - 69

18i...

 
-45i - 69
102

Gravel is mixed with cement at a ratio of 5 parts of cement to 1 part of gravel. How many...

 
40 lbs
103

How much carpet would be necessary to cover a room which is 8 ft long and 6 ft wide?


14...

 
60 square feet
104

A bakery specializes in peach and apple pies. Out of a batch of 26 pies, four are peach....

 
15.4 percent
105

Convert 6.39 x 10^5 to regular notation


(6.39)^5 x 10

639,000

639.10

0.000639

 
639,000
106

A refrigerator costs $400 to purchase outright, so it can be rented for a non-refundable...

 
14 months
107

Courier charges for packages to a certain destination are 65 cents for the first 250 grams...

 
1155
108

If x/y is an integer, which of the following statements must be true?


both...

 
x = ny where n is an integer
109

This is a list of numbers is the sum of all of the list divided by the number of items in...

 
Mean
110

The first term in a sequence is 1 and the second term is 5. From the third term on, each...

 

3


The avg of 1 and 5 = 3

The avg of 1, 5, and 3 = 3

The...

111

(3x + 2)(2x - 5)=ax² + kx + n.

What is the value of a - n + k?


5

8

9

10

 
5
112

What is the simplified result of ff the steps in order?


(1) add 5y...

 
5x + 14y
113

What is the avg of four tenths and five thousandths?


25002

2502

0.225

0.2025

 
0.2025
114

Which of the integers is not a prime number?


3

5

7

9

 
9
115

If 3ª = 9

What is the value of 4^(a+1) ?


25

30

35

64

 
64
116

If the ratio of 3x to 5y is 1:2, what is the ratio of x to y?


1/2

2/3

3/4

5/6

 
5/6
117

1 ton has how many lbs?

 
2000 lbs
118

If the floor area in a Navy warehouse measures 200 ft by 200 ft., what is the maximum safe...

 
200 lbs per square foot
119

Assume that the United States Mint produces one million nickels a month. The total value...

 
$600000
120

There are 20 cigarettes in one pack and 10 packs of cigarettes in a carton. A certain brand...

 
2.4 grams
121

A certain government agency had a budget last year of $1,100,500. Its budget this year was...

 
1,271,700
122

How many seconds per question does one have to complete all questions in the Math Section...

 

50


25 min x 60 sec/min =

1500 sec / 30 problem =

50...

123

If x = 4z and Y = 6z then Y =


6/4 X

4/6 X

3/2...

 
3/2 X
124

Simplify the following:

4x² - 5x + 1
     x-1


4x...

 
4x - 1
125

Simplify

n + 6n²
6n + 1


N + 1

N...

 
N
126

How many seconds are in one hour?


60

1200

2400

3600

 
3600
127

How many inches are in one mile?


1,760

63,360

72,913

160,934

 

63360


5280 ft x 12 inches

5280 ft = 1 mile

1760...

128

An aircraft flies 250 mph for 30 mins, then 300 mph for 10 mins, and flies at 240 mph for...

 
335 mi
129
Two trains are 100 miles apart traveling towards each other at 40 mph and 30 mph. How far apart...
 
65 mi
130
Formula for distance
 
Rate x Time
131

If a car tavels 42 mph, how far does it travel in 1200 seconds?


14...

 
14 mi
132

When adding bases containing exponents you can add the exponents even if the bases are the...

 
False
133

When multiplying bases containing exponents you can add the exponents even if the bases...

 
True
134
What are the perfect squares, from 11-15?
 

121, 144, 169, 196, 225

135
What are the first 6 perfect cubes?
 
1, 8, 27, 64, 125, 196
136

5n+1 = 125

n=?


2

3

4

5

 
2
137

4n4=64 ; n = ?


2

3

4

5

 
2
138

½bh solves for the area of a


circle

parallelogram

rectangle

trapezoid

triangle

 
triangle
139

l x w solves for the area of a


circle

parallelogram

rectangle

trapezoid

triangle

 
rectangle
140

½(b1 + b2) h solves for the area of a 


circle

parallelogram

rectangle

trapezoid

triangle

 

trapezoid


½ multiplied by the sum of bases times the height

141

base multiplied by the height (bh) solves for the area of a


circle

parallelogram

rectangle

trapezoid

triangle

 
parallelogram
142

πr2 solves for the area of a 


circle

parallelogram

rectangle

trapezoid

triangle

 
circle
143

2πr solves for the circumference of a


circle

cyclinder

sphere

oval

 
circle
144

a2 + b2 = c2 is also known as

 
Pythagorean Theorem
145

sin A = a / c


opposite/adjacent

adjacent/hypotenuse

opposite/hypotenuse

 
opposite/hypotenuse
146

cos A = b / c


adjacent/hypotenuse

opposite/adjacent

opposite/hypotenuse

 
adjacent/hypotenuse
147

tan A = a / b


adjacent/hypotenuse

opposite/adjacent

opposite/hypotenuse

 
opposite/adjacent
148

An equilateral trangle has a side of 4. What is the length of the blue line?


√12

2√3

√8

2√5

 
2√3
149

The formula for simple interest is the lump sum multiplied by the interest rate. What is...

 
all of the above
150

What is the formula for the "future value" or the compounded interest and the principal?

 
FV = PV (1 + i)n
151

How much interest is accrued on $1000 lump sum at 10% compounded over 2 years?


$100

$210

$221

$240

 

$221


according to the book, $221.

152
How do u find the average?
 
Sum of the numbers / number of items
153

John shoots 75, 82, 83 his first 3 rounds of golf. What score must he post on his last round...

 

80


80 x 4 = 320

320 - (75 + 82 + 83) = 80

154

The probability of an event occurring is equal to the number of events that you want to...

 

flipping a coin, 50% chance


Kudos to those that can identify the first...

155

In a 52 card deck, what is the probability of selecting a face card?


1/13

2/13

3/13

4/13

 
12/52 or 3/13
156

If 5x + 3y = 29 and x - y = 1, then x = ?


1

2

3

4

5

 
4
157

Solve for x:

2x / 7 = 2x²


1/7

2/7

2

7

14

 
1/7
158

If x is an odd integer, which one of the following is an even integer?


2x...

 
x² - x
159

10˟ divided by 10ʸ


10x/y

10xy

10x+y

10x-y

none...

 
10x-y
160

   x - 2   

x² - 6x + 8


The formula can be reduced...

 

 1  

x-4

161

If 3˟ = 27, what is the value of 4˟+1


24

48

65

108

none...

 
65
162

The expression

√28 - √7 reduces to


√4

√7

3√7

√21

-√35

 
√7
163
Mr. Norwalk bought 24 gallons of gasoline, which enables him to drive 648 miles. On the average,...
 
27
164
How many blocks 6" x 4" x 4" can fit in a box 8' x 6' x 4'?

2
48
576
3456
 
3456
165

Steve played in 14 basketball games. He scored a total of 53 field goals (2 points each)...

 
9
166

There are 800 employees at a company. If 60% drive to work and 30% take the train, how many...

 
480
167

Min reads 3 hardcover mysteries and 4 soft cover mysteries. She reads 3 times as many nonfiction...

 
21
168

In the election for Fairfield County Selectman, Mr. Williams got 33,172 votes, and Mr. Stevens...

 
7420
169
What mathematical statement best represents the following?

Six less a number is four?

6...
 
n - 6 = 4 
170
A cylinder whose height is 8 inc has a volume of 128p³. If the radius is doubled and its height...
 
256p cm³ 
171
Fencing costs $4.75 per foot. Posts cost $12.50 each. How much will it cost to fince a garden...
 
$286.50
172
Multiply (2x + 1)(2x - 1)

2x² + 1
4x² + 1
4x² + 2x + 1
4x² + 4x + 1 
 
4x² + 4x + 1 
173
How much change would you get back from a $20 bill if you purchased 8 CD covers costing $1.59...
 
$7.28
174
The sum of 2 feet 2½ inches, 4 feet 3 3/8 inches, and 3 feet 9 ¾ inches is

9 feet...
 
10 feet 3 5/8 inches
175
The scale on a map shows 500 feet for every 1/4 inch. If two cities are 6 inches apart on the...
 
12000 feet
176
What is the probablility of rolling a sume of 9 using two dice?

1/4
1/9
5/12
7/36
 
1/9
177
Three boxes are needed to hold 18 reams of paper. How many boxes are needed for 90 reams?

5
6
9
15
 
15
178
One gallon of paint covers 400 square feet. How many gallons are needed to cover 2225 square...
 
6 gallons
179
The sum of v50 + 3v72 is

4 + v122
4v122
7v2
23v2
 
23v2
180
An appliance originally costing 1000 goes on sale one week for 25% off. The following week,...
 
$675
181
Dennis ran a race is 2.2 minutes. Kayla ran the same race in 124 seconds. What is the difference...
 
8 seconds
182
What is the diameter of a circle whose circumference is equivalent to its area?

2
3
4
6
 
4
183
If 3 cans of soup cost $5.00, how much do 10 cans cost?

$15.00
$16.45
$16.67
$17.33
 
$16.67
184
A savings account earns 2¼ % interest each year. How much interest is earned on a $1000 deposit...
 
112.50
185
The product of 2 numbers is 117. If one of the numbers is , what is the other?

11
13
15
17
 
13
186
Vanda put some water in the freezer. When she removed it, the water's temperature was 0° C....
 
5 hrs 
187
Sandy brought 4½ lbs of apples and 6 kiwi fruits. Brandon bought 3¼ lbs of apples and 9 kiwi...
 
0.24
188
-3(-4-5)-2(-6)=


0

-5
15
39
 
39

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