BASIC MATH I NAT SCI

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A rectangular shaped fuel tank measures

27-1/2 inches in length, 3/4 foot in width, and

8-1/4 inches in depth. How many gallons will

the tank contain? (231 cu in = 1 gal)

A. 7.366

B. 8.83

C. 170.156

8.83

Find the value of 10 raised to the negative

sixth power.

A. 0.000001

B. 0.0001

C. 0.000010

2041.875 ÷ 231 = 8.83

The result of 7 raised to the third power plus

the square root of 39 is equal to

A. 349.24

B. .34924

C. 343.24

343 + 6.24 = 349.24

Select the fraction which is equal to 0.0250

A. 1/400

B. 1/40

C. 1⁄4

0.0250 = 1/40

Which alternative answer is equal to

16,300?

A. 1.63 x 10 to the fourth power

B. 1.63 x10 to the negative third power

C. 163 x 10 to the negative second power

A.

1.63 × 104 = 1.63 × 10,000 = 16,300

1.63 × 10−3 = 1.63 ÷ 1000 = 0.00163

163 × 10−2 = 163 ÷ 100 = 1.63

Only choice equals 16,300.

-6 [-9 (-8+4)- 2 (7 + 3)] =

A. -332

B. 216

C. -96

C.

Find the square root of 1,746

A. 40.7743

B. 41.7852

C. 41.7752

41.7852 × 41.7852 ≈ 1746

The parts department's profit is 12 percent

on a new part. How much does the part cost if

the selling price is $145.60?

A. $130.00

B. $125.60

C. $128.13

145.60 ÷ 1.12 = 130.0

The total piston displacement of a specific

engine is

A. The volume displaced by all the pistons

during one revolution of the crankshaft.

B. Dependent on the compression ratio.

C. The total volume of all the cylinders.

A.

Total piston displacement means the

volume swept by all the pistons as they move

from top dead center to bottom dead center. In

a four-stroke engine, this happens during one

revolution of the crankshaft.

It is not dependent on compression ratio, and it

is not the total inside volume of all cylinders. It

only counts the volume the pistons actually

displace.

Convert the binary number 00001111 to a

whole number.

A. 15

B. 31

C. 8

A.

How many gallons of fuel will be contained

in a rectangular-shaped tank which measures

2 feet in width, 3 feet in length, and 1 foot 8

inches in depth? (7.5 gal = 1 cu ft)

A. 45

B. 66.6

C. 75

C. 75

An engine develops 108 horsepower at 87

percent power. What horsepower would be

developed at 65 percent power?

A. 81

B. 61

C. 70

A. 81

What is the ratio of 10 feet to 30 inches?

A. 1:3

B. 3:1

C. 4:1

C. 4:1

A certain aircraft bolt has an overall length

of 1-1/2 inches, with a shank length of 1-3/16

inches, and a threaded portion length of 5/8

inch. What is the grip length?

A. .8750 inch

B. .5625 inch

C. 3125 inch

B. .5625 inch

Convert the binary number 1111 to decimal

form.

A. 16

B. 14

C. 15

C. 15

What power of 10 is equal to

1,000,000,000?

A. 10 to the sixth power

B. 10 to the ninth power

C. 10 to the tenth power

B. 10 to the ninth power

Solve the equation. (64 x 3/8) 3/4 =

A. 32

B. 18

C. 24

B. 18

Find the cube of 64.

A. 4

B. 262,144

C. 192

B. 262,144

What is the piston displacement of a

master cylinder with a 1.5-inch diameter bore

and a piston stroke of 4 inches?

A. 7.0686 cubic inches

B. 6.1541 cubic inches

C. 9.4247 cubic inches

A. 7.0686 cubic inches

A six-cylinder engine with a bore of 3.5

inches, a cylinder height of 7 inches and a

stroke of 4.5 inches will have total piston

displacement of

A. 259.77 cubic inches

B. 256.88 cubic inches

C. 43.3 cubic inches

A. 259.77 cubic inches

Convert 7 to binary form.

A. 0111

B. 0011

C. 1110

A. 0111

What is the square root of 4 raised to the

fifth power?

A. 32

B. 20

C. 64

A. 32

What size of sheet metal is required to

fabricate a cylinder 20 inches long and 8

inches in diameter? (Note: C= pi x D)

20 inches x 25-9/64 inches

20 inches x 25-5/32 inches

20 inches x 24-9/64 inches

A.

20 inches x 25-9/64 inches

Examples of units used in the conventional

(U.S. or English) measurement include

A. Inch, kilometer, and fraction.

B. Inch, feet, and yard.

C. Inch, meter, and rod.

B. Inch, feet, and yard.

Solve the equation. 43[-6(2+3) + 4] =

A. -25

B. -71

C. 82

C. 82

Which of the following is the square root of

(-1776)/(-2) - 632?

A. 16

B. 128

Baby, walang key answer mwehehe sagutan mo ‘yan

What is defined as a group of bits

representing a complete piece of information?

A. Bit

B. Byte

C. Word

B. Byte

Select the container size that will be equal

in volume to 60 gallons of fuel. (7.5 gal = 1 cu

ft)

A. 8.0 cubic feet

B. 8.5 cubic feet

C. 7.5 cubic feet

A. 8.0 cubic feet

An airplane flying a distance of 875 miles

used 70 gallons of gasoline. How many gallons

will it need to travel 3,000 miles?

A. 240

B. 200

C. 250

A. 240

A blueprint shows a hole of 0.17187 to be

drilled. Which fraction size drill bit is most

nearly equal?

A. 9/32

B. 11/64

C. 11/32

B. 11/64

Which decimal is most nearly equal to a

bend radius of 31/64?

A. 0.2065

B. 0.3164

C. 0.4844

C. 0.4844

What force is exerted on the piston in a

hydraulic cylinder if the area of the piston is 3

square inches and the fluid pressure is 1000

PSI?

A. 3440

B. 3100

C. 3000

C. 3000

Select the decimal which is most nearly

equal to 77/64.

A. 0.8311

B. 1.2031

C. 0.08311

B. 1.2031

Select the fractional equivalent for a 0.0625

inch thick sheet of aluminum.

A. 1/16

B. 1/32

C. 3/64

A. 1/16

Find the square root of 3,722.1835

A. 61.0097

B. 61.00971

C. 61.0035.

A. 61.0097

Express 7/8 as a percent.

A. 87.5 percent

B. .875 percent

C. 8.75 percent

A. 87.5 percent

Solve the equation.

(V100 + √36 - √16) =

A. 60

B. 76

C. 12

C. 12

What is the square root of 16 raised to the

fourth power?

A. 4,096

B. 1,024

C. 256

C. 256

1.21875 is equal to

A. 39/32

B. 83/64

C. 19/16

A. 39/32

What is the ratio of a gasoline fuel load of

200 gallons to one of 1,680 pounds?

A. 2:3

B. 5:42

C. 5:7

C. 5:7

Solve the equation.

1/2 (-30 +34) 5

A. 10

B. 95

C. 160

A. 10

Maximum life for a certain part is 1100

hours. Recently, 15 of these parts were

removed from different aircraft with an average

life of 835.3 hours. What percent of the

maximum part life has been achieved?

A. 75.0 percent

B. 75.9 percent

C. 76.9 percent

B. 75.9 percent

Sixty-five engines are what percent of 80

engines?

A. 52 percent

B. 81 percent

C. 65 percent

B. 81 percent

Find the square root of 1,824

A. 42708 x 10 to the second power

B. .42708

C. 42.708 x 10 to the negative second

power

A. 42708 x 10 to the second power

Which of the figures is using scientific

notation?

1.) 3.47 x 104 = 34,700

2.) 2(410) = 2,097,152

A. 2

B. 1 and 2

C. 1

C. 1

A four-cylinder aircraft engine has a

cylinder bore of 3.78 inches and is 8.5 inches

deep. With the piston on bottom center, the top

of the piston measures 4.0 inches from the

bottom of the cylinder. What is the approximate

piston displacement of this engine?

A. 235 cubic inches

B. 200 cubic inches

C. 360 cubic inches

B. 200 cubic inches

If the volume of a cylinder with the piston at

the bottom center is 84 cubic inches and the

piston displacement is 70 cubic inches, then

the compression ratio is

A. 7:1

B. 1.2:1

C. 6:1

C. 6:1

An engine of 98 horsepower maximum is

running at 75 percent power. What is the

horsepower being developed?

A. 33.30

B. 73.50

C. 87.00

B. 73.50

49. What is the surface area of a cube where a

side (edge) measures 7.25 inches?

A. 315.375 sq. in.

B. 52.5625 sq. in.

C. 381.078 cu. in.

A. . 315.375 sq. in.

An airplane flying a distance of 750 miles

used 60 gallons of gasoline. How many gallons

will it need to travel 2,500 miles?

A. 9,375

B. 200

C. 31,250

B. 200

Solve the equation.

-4 + 6 + 103 (1296) =

A. 62,208

B. 35,998

C. 36,002

C. 36,002

A rectangular shaped fuel tank measures

37-1/2 inches in length, 14 inches in width, and

8-1/4 inches in depth. How many cubic inches

are within the tank?

A. 433.125

B. 59.75

C. 4,331.25

C. 4,331.25

Which results in the largest number?

A. (4.631)5

B. 4.631 x 105

C. 4.631 x 10 −5

B. 4.631 x 105

The radius of a piece of round stock is

7/32. Select the decimal which is most nearly

equal to the diameter.

A. 0.3531

B. 0.4375

C. 0.2187

B. 0.4375

Solve the equation.

(32 x 3/8) 1/6 =

A. 72

B. 12

C. 2

A. 72

If an engine is turning 1,865 rpm at 60

percent power, what is its maximum rpm?

A. 3,000 rpm

B. 3,018 rpm

C. 3,108 rpm

C. 3,108 rpm

Solve the equation.

[(4x-3) + (-9 x 2)] + 2 =

A. -30

B. -5

C. -15

C. -15

What force is exerted on the piston in a

hydraulic cylinder if the area of the piston is 1.2

square inches and the fluid pressure is 850

PSI?

A. 960 pounds

B. 850 pounds

C. 1,020 pounds

C. 1,020 pounds

How much current does a 30-volt, 1/2

horsepower motor that is 85 percent efficient

draw from the bus? (Note: 1 horsepower = 746

watts)

A. 14.3 amperes

B. 14.6 amperes

C. 12.4 amperes

B. 14.6 amperes

Express 5/8 as a percent.

A. 6.25 percent

B. .625 percent

C. 62.5 percent

C. 62.5 percent

Find the square root of 124.9924

A. .1118 x 10 to the negative second power

B. 111.8 x 10 to the third power

C. 1,118 x 10 to the negative second power

C. 1,118 x 10 to the negative second power

Solve the equation.

(-3+2)(-12-4) + (-4 + 6) x 3

A. 27

B. 20

C. 22

C. 22

8,019.0514 x 1/81 is equal to the square

root of

A. 9081

B. 9108

C. 9801

C. 9801

What is the speed of a spur gear with 42

teeth driven by a pinion gear with 14 teeth

turning 420 RPM?

A. 160 RPM

B. 588 RPM

C. 140 RPM

C. 140 RPM

The number 3.47 x 10 to the negative

fourth power is equal to

A. .000347

B. 34,700

C. .00347

A. .000347

What is the speed ratio of an input gear

with 36 teeth meshed to a gear with 20 teeth?

A. 1:0.56

B. 1:1.8

C. 9:5

B. 1:1.8

If an engine is turning 1,965 rpm at 65

percent power, what is its maximum rpm?

A. 3,023

B. 3,242

C. 2,653

A. 3,023

A rectangular-shaped fuel tank measures

60 inches in length, 30 inches in width, and 12

inches in depth. How many cubic feet are

within the tank?

A. 12.5

B. 21.0

C. 15.0

A. 12.5

A pinion gear with 14 teeth is driving a spur

gear with 42 teeth at 140 RPM. Determine the

speed of the pinion gear.

A. 588 RPM

B. 420 RPM

C. 126 RPM

B. 420 RPM