Deck 1: Basic Concepts

Question 1

Each cut on a lathe is 0.018 in. deep. How many cuts would be needed to turn down 8.538 in. stock to 8.250 in.?

A) 17
B) 14
C) 11
D) 13
E) 16

Answer 1

16

Question 2

A small plane flies 189 mi in 1.5 h. How fast did the plane fly?

A) 201 mph
B) 160 mph
C) 126 mph
D) 136 mph
E) 131 mph

Answer 2

126 mph

Question 3

Divide. $2,050 \div 0.75$

A) 3,100.95
B) 2,855.87
C) 2,733.33
D) 2,981.52
E) 2,198.99

Answer 3

2,733.33

Question 4

The diameter of a new piston is 4.644 in. The average wear per 10,000 mi is 0.009 in. uniformly over the piston. Find the average diameter of the piston after 100,000 mi.

A) 6.209 in.
B) 4.59 in.
C) 4.554 in.
D) 4.464 in.
E) 2.097 in.

Question 5

A nurse gives two tablets of ephedrine, containing 0.75 grains each. How many grains are given?

A) 1.5 grains
B) 1.3 grains
C) 2.67 grains
D) 1.85 grains
E) 1.65 grains

Question 6

A heating element operates on a 205 V line. If it has a resistance of 18 ? , what current does it draw? (Current equals voltage divided by resistance.)

A) 15.90 A
B) 8.78 A
C) 17.86 A
D) 11.39 A
E) 9.15 A

Question 7

Divide. $4.437 \div 0.29$

A) 22.6
B) 13.4
C) 16.9
D) 11.8
E) 15.3

Question 8

Power (in watts, W) equals voltage times current. Find the power in the circuit.

A) 0.0867 W
B) 0.0545 W
C) 0.3063 W
D) 0.0488 W
E) 0.5445 W

Question 9

How many metal sheets are in a stack that measures 9 in. high if each sheet is 0.045 in. thick?

A) 150
B) 405
C) 20
D) 15
E) 200

Question 10

A flashlight bulb is connected to a 5.5 V dry cell. If it draws 0.5 A, what is its resistance? (Resistance equals voltage divided by current.)

A) 3.25 ohms
B) 2.75 ohms
C) 11 ohms
D) 9 ohms
E) 12.5 ohms

Question 11

Divide. $7,900 \div 0.76$

A) 6,723.12
B) 10,394.74
C) 15,740.19
D) 15,740.08
E) 17,879.93

Question 12

If the cost of a metal duct with dimensions $8 \mathrm { in } \times 20 \mathrm { in }$ is $11.40 for four feet, how much is it per foot?

A) $4.40
B) $3.22
C) $3.24
D) $3.61
E) $2.85

Question 13

A 17 ft I-beam is to be divided into 4 equal parts. What is the length of each piece?

A) 3.5 feet
B) 4.25 feet
C) 4.75 feet
D) 4.33 feet
E) 4 feet

Question 14

Find the total piston displacement of a six-cylinder engine if each piston displaces a volume of 58.25 in³.

A) 396.5 in ³
B) 334.5 in ³
C) 378.625 in ³
D) 349.5 in ³
E) 372.5 in ³

Question 15

Multiply. $3,000$ $\underline {3.88}$

A) 11,640
B) 1,164
C) 12,980
D) 11,520
E) 1,298

Question 16

Inductive reactance (in ohms, ? ) equals $2 \pi \times \text { frequency } \times \text { inductance }$ . Find the inductive reactance in the ac circuit. Use the $\pi$ key on your calculator and round the answer to two decimal places.

A) $270.95 \Omega$
B) $358.14 \Omega$
C) $180.63 \Omega$
D) $361.26 \Omega$
E) $179.07 \Omega$

Question 17

Divide. $0.2 \div 0.04$

A) 7
B) 6.5
C) 5.5
D) 5
E) 6

Question 18

A 31.93 in. long steel rod is to be cut into pieces 3.56 in. long. Each cut wastes 0.15 in. of rod in shavings. If 8 pieces are cut from the rod, how many inches of the rod are left?

A) 2.25 in.
B) 1.88 in.
C) 3.21 in.
D) 1.7 in.
E) 2.1 in.

Question 19

A set of four new tires cost $91.00. What was the price per tire?

A) $17.41
B) $25.70
C) $22.75
D) $34.53
E) $15.18

Question 20

Multiply. $21.08$ $\underline { 0.81}$

A) 16.2118
B) 16.3128
C) 15.7508
D) 17.6368
E) 17.0748

Question 21

Evaluate the expression. $10 + 4 ( 7 + 8 ) - 1$

A) 69
B) 45
C) 66
D) 28
E) 209

Question 22

Divide and round to the nearest hundredth.

Question 23

Power (in watts, W) equals voltage times current. Find the power in the circuit. Round your answer to four decimal places. __________ W

Question 24

Evaluate the expression.   $7 - 2 ( 18 - 14 ) + 17$

A) 16
B) -40
C) -26
D) 105
E) 87

Question 25

Evaluate the expression. $( 38 - 16 ) - ( 23 - 18 )$

A) 27
B) 13
C) 17
D) 63
E) -19

Question 26

Divide.

Question 27

Multiply.

Question 28

A flashlight bulb is connected to a 1.5 V dry cell. If it draws 0.25 A, what is its resistance? (Resistance equals voltage divided by current.)__________

Question 29

Evaluate the expression. $7 - 3 ( 5 - 3 )$

A) -17
B) -11
C) 22
D) 1
E) 31

Question 30

Evaluate the expression. $2 ( 9 + 6 ) - 4 ( 15 + 3 ) \div 8$

A) 21.00
B) -35.63
C) 300.38
D) 45.00
E) 15.00

Question 31

Multiply.

Question 32

Evaluate the expression. $2 \times ( 2 \times 5 ) + ( 7 + 1 ) \div 4$

A) 28
B) 9
C) 22
D) 14
E) 7

Question 33

Evaluate the expression. $( 7 + 5 ) - ( 7 - 1 )$

A) 4
B) 20
C) -3
D) 5
E) 6

Question 34

Divide and round to the nearest hundredth.

Question 35

A nurse gives three tablets of ephedrine, containing 0.75 grains each. How many grains are given?
__________ grains

Question 36

Find the total piston displacement of a six-cylinder engine if each piston displaces a volume of __________

Question 37

Divide.

Question 38

Evaluate the expression. $4 ( 2 \times 7 ) + ( 12 + 4 ) \div 4$

A) 68
B) 70
C) 60
D) 72
E) 18

Question 39

Inductive reactance (in ohms, $\Omega$ ) equals $2 \pi \times \text { frequency } \times \text { inductance }$ . Find the inductive reactance in the ac circuit shown in the figure. Use the $\pi$ key on your calculator and round the answer to three significant digits. __________ Ω

Question 40

A 21 ft I-beam is to be divided into 4 equal parts. What is the length of each piece?
__________ ft

Question 41

Evaluate the expression. $8 \div 4 \times 24 \div 4 \div 6$

A) 32
B) 2
C) 12
D) 8
E) 1.3

Question 42

Evaluate the expression. $\frac { ( 55 - 9 \cdot 5 ) ^ { 2 } } { 3 ^ { 3 } - 2 }$

A) 3.4
B) 0.4
C) 40.0
D) 4.0
E) 14.3

Question 43

Evaluate the expression.

Question 44

Evaluate the expression.

Question 45

Evaluate the expression. $188 - 2 \times ( 7 + 2 ) - 6 ( 8 - 4 )$

A) 242
B) 98
C) 154
D) 146
E) 182

Question 46

Evaluate the expression. $17 + 6 ^ { 2 }$

A) 53
B) 29
C) 529
D) 19.45
E) 233

Question 47

Evaluate the expression. $8 ( ( 5 + 9 ) + 3 ( 7 - 4 ) )$

A) 133
B) 408
C) 120
D) 184
E) 66

Question 48

Evaluate the expression.

Question 49

Evaluate the expression. $( 9 + 3 ) ( 3 + 4 ) \div 28 + ( 8 \times 15 ) \div ( 4 \times 3 )$

A) 16
B) 13
C) 23
D) 8
E) 7

Question 50

Find the LCD of the set of fractions. $\frac { 1 } { 35 } , \frac { 5 } { 14 } , \frac { 1 } { 21 }$

A) 210
B) 630
C) 420
D) 1,470
E) 1,050

Question 51

Evaluate the expression.

Question 52

Evaluate the expression. $7 ( 12 + 6 ( 2 + 3 ( 5 + 8 ( 4 + 1 ) ) )$

A) 3,181
B) 258
C) 3,822
D) 142
E) 323

Question 53

Evaluate the expression. $21 - 5 \times ( 17 - 7 ) - 3 + 8 ( 45 - 12 )$

A) 421
B) 232
C) 238
D) 162
E) -194

Question 54

Evaluate the expression.

Question 55

Evaluate the expression.

Question 56

Evaluate the expression. $9 + 8 ( 3 + 2 ) - 5 - 4 ( 3 + 2 )$

A) 48
B) 60
C) 24
D) 44
E) -11

Question 57

Evaluate the expression.

Question 58

Evaluate the expression. $8 \times 3 + 2 [ 3 ( 8 - 2 ) + 7 ( 7 + 3 ) - 2 ]$

A) 196
B) 120
C) 128
D) 22
E) 16

Question 59

Evaluate the expression. $31 - 6 ( 5 \times 2 ) + 3 - ( 4 + 8 ) \div ( 4 + 4 )$

A) 323
B) -34
C) -28
D) 251
E) -30.3

Question 60

Evaluate the expression. $( 53 - 8 ) / ( 5 + 10 ) + ( 13 - 1 ) / 3$

A) 23.0
B) 8.1
C) -1.0
D) 56.5
E) 7.0

Question 61

A welder has two pieces of half-inch pipe, one of length $8 \frac { 3 } { 8 }$ ft and another of length $9 \frac { 7 } { 8 }$ ft. What is the total length of the two welded together?

A) $19 \frac { 1 } { 2 }$ ft
B) $18 \frac { 5 } { 8 }$ ft
C) $18 \frac { 2 } { 3 }$ ft
D) $18 \frac { 1 } { 4 }$ ft
E) $19 \frac { 1 } { 4 }$ ft

Question 62

A rod $13 \frac { 5 } { 6 }$ in. long has been cut as shown in the illustration. Assume the waste in each cut is $\frac { 1 } { 16 }$ in. What is the length of the remaining piece?

A) $4 \frac { 11 } { 16 }$ in.
B) $5 \frac { 5 } { 16 }$ in.
C) $4 \frac { 3 } { 8 }$ in.
D) $5 \frac { 5 } { 8 }$ in.
E) $4 \frac { 3 } { 4 }$ in.

Question 63

A mechanic spent $\frac { 1 } { 3 }$ h changing spark plugs, $\frac { 1 } { 7 }$ h changing an air filter and $\frac { 6 } { 7 }$ h changing the oil and oil filter. How much total time was spent servicing the car?

A) $1 \frac { 1 } { 5 }$ hours
B) $2 \frac { 1 } { 3 }$ hours
C) $8 \frac { 1 } { 5 }$ hours
D) $1 \frac { 1 } { 3 }$ hours
E) $8 \frac { 1 } { 3 }$ hours

Question 64

A Piper Warrior holds 50 gal of 100LL aviation fuel. A pilot takes off and lands at another airport and fills up the tank, which takes $15$ gal. The pilot then flies to a second airport, which requires $21 \frac { 3 } { 8 }$ gal. Had the pilot made the trip to the two airports without refueling each time, how much fuel would have been left in the tank?

A) $13 \frac { 1 } { 3 }$ gal
B) $14 \frac { 1 } { 3 }$ gal
C) $13 \frac { 1 } { 8 }$ gal
D) $13 \frac { 3 } { 8 }$ gal
E) $14 \frac { 1 } { 8 }$ gal

Question 65

A planer takes a $\frac { 3 } { 32 }$ in. cut on a plate that is $3 \frac { 7 } { 8 }$ in. thick.What is the thickness of the plate after one cut?

A) $4 \frac { 19 } { 32 }$ in.
B) $3 \frac { 5 } { 8 }$ in.
C) $4 \frac { 25 } { 32 }$ in.
D) $3 \frac { 25 } { 32 }$ in.
E) $3 \frac { 19 } { 32 }$ in.

Question 66

Perform the indicated operations and simplify. $\frac { 5 } { 16 } - \frac { 2 } { 32 }$

A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 4 } { 13 }$
D) $\frac { 3 } { 8 }$
E) $\frac { 1 } { 6 }$

Question 67

Perform the indicated operations and simplify. $\frac { 1 } { 3 } + \frac { 1 } { 6 } + \frac { 3 } { 16 } + \frac { 1 } { 12 }$

A) $\frac { 121 } { 289 }$
B) $\frac { 125 } { 361 }$
C) $\frac { 9 } { 25 }$
D) $\frac { 37 } { 96 }$
E) $\frac { 37 } { 48 }$

Question 68

Find the total current in the parallel circuit.

A) $4 \frac { 1 } { 6 }$ A
B) $5 \frac { 1 } { 6 }$ A
C) $4 \frac { 1 } { 8 }$ A
D) $4 \frac { 4 } { 5 }$ A
E) $5 \frac { 4 } { 5 }$ A

Question 69

How much must the diameter of a $\frac { 31 } { 64 }$ in. shaft be reduced so that its diameter will be $\frac { 13 } { 32 }$ in.?

A) $\frac { 3 } { 32 }$ in.
B) $\frac { 5 } { 81 }$ in.
C) $\frac { 17 } { 81 }$ in.
D) $\frac { 5 } { 64 }$ in.
E) $\frac { 17 } { 64 }$ in.

Question 70

A welder has four pieces of scrap steel angle of lengths $3 \frac { 1 } { 4 }$ ft, $4 \frac { 3 } { 8 }$ ft, $3 \frac { 1 } { 8 }$ ft and $16 \frac { 3 } { 16 }$ ft. If they are welded together, how long is the welded piece?

A) $27 \frac { 1 } { 4 }$ ft
B) $27 \frac { 11 } { 16 }$ ft
C) $26 \frac { 15 } { 16 }$ ft
D) $26 \frac { 11 } { 16 }$ ft
E) $27 \frac { 3 } { 8 }$ ft

Question 71

What is the difference in thickness between a $\frac { 7 } { 16 }$ in. steel plate and a $\frac { 5 } { 8 }$ in. steel plate?

A) $\frac { 1 } { 4 }$ in.
B) $\frac { 3 } { 4 }$ in.
C) $\frac { 15 } { 16 }$ in.
D) $\frac { 1 } { 16 }$ in.
E) $\frac { 3 } { 16 }$ in.

Question 72

Find the missing dimension of the shaft in the illustration.

A) $8 \frac { 1 } { 4 }$ in.
B) $8 \frac { 1 } { 2 }$ in.
C) $7 \frac { 1 } { 4 }$ in.
D) $7$ in.
E) 8 in.

Question 73

A mechanic needs the following lengths of $\frac { 3 } { 8 }$ in. copper tubing: $15 \frac { 1 } { 8 }$ in., $7 \frac { 3 } { 4 }$ in., $11 \frac { 1 } { 2 }$ in., $5 \frac { 1 } { 32 }$ in. and $6 \frac { 1 } { 16 }$  in. What is the total length of tubing needed?

A) $45 \frac { 7 } { 15 }$ in.
B) $46 \frac { 3 } { 32 }$ in.
C) $47 \frac { 17 } { 32 }$ in.
D) $45 \frac { 15 } { 32 }$ in.
E) $47 \frac { 13 } { 32 }$ in.

Question 74

Perform the indicated operations and simplify. $15 \frac { 7 } { 12 } - 9 \frac { 1 } { 9 } + 4 \frac { 1 } { 2 }$

A) $10 \frac { 35 } { 54 }$
B) $10 \frac { 35 } { 36 }$
C) $11 \frac { 17 } { 18 }$
D) $11 \frac { 35 } { 36 }$
E) $18 \frac { 1 } { 2 }$

Question 75

Perform the indicated operations and simplify. $7 \frac { 9 } { 16 } + 2 \frac { 3 } { 4 } + 7 \frac { 1 } { 3 }$

A) $18 \frac { 1 } { 3 }$
B) $20 \frac { 15 } { 16 }$
C) $16 \frac { 31 } { 48 }$
D) $17 \frac { 31 } { 48 }$
E) $17 \frac { 5 } { 16 }$

Question 76

The cooling requirements for the three separate incubation rooms are $\frac { 1 } { 5 }$ ton, $\frac { 5 } { 6 }$ ton and $\frac { 25 } { 36 }$ ton. If a central HVAC unit will be installed, how many tons are required?

A) $1 \frac { 131 } { 180 }$ tons
B) $1 \frac { 1 } { 30 }$ tons
C) $1 \frac { 786 } { 1,081 }$ tons
D) $1 \frac { 41 } { 270 }$ tons
E) $1 \frac { 132 } { 181 }$ tons

Question 77

Find the LCD of the following set of fractions. LCD = __________

Question 78

If no tap drill chart is available, the correct drill size (TDS) can be found by using the formula TDS = OD - P, where OD is the outside diameter and P is the pitch of the thread (the distance between the successive threads). Find the tap drill size for a $\frac { 1 } { 3 }$ in. outside diameter if the pitch is $\frac { 1 } { 18 }$ in.

A) $\frac { 5 } { 36 }$ in.
B) $\frac { 4 } { 9 }$ in.
C) $\frac { 5 } { 18 }$ in.
D) $\frac { 2 } { 9 }$ in.
E) $\frac { 1 } { 6 }$ in.

Question 79

Perform the indicated operations and simplify. $\frac { 1 } { 3 } + \frac { 1 } { 6 } + \frac { 3 } { 16 } + \frac { 1 } { 12 }$

Question 80

Find the perimeter of the figure.

A) $11 \frac { 25 } { 37 }$ in.
B) $12 \frac { 19 } { 64 }$ in.
C) $10 \frac { 25 } { 32 }$ in.
D) $11 \frac { 25 } { 32 }$ in.
E) $11 \frac { 50 } { 69 }$ in.