Mathematics

Find the square root of 1,824.

.42708 x 10 to the second power.

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?

.5625 inch.

Find the value of 10 raised to the negative sixth power.

0.000001.

What size sheet of 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.

An airplane flying a distance of 750 miles used 60 gallons of gasoline. How many gallons will it need to travel 2,500 miles?

200

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?

200 cubic inches.

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?

1,020 pounds.

Find the square root of 124.9924.

1,118 x 10 to the negative second power.

(Refer to Figure 65.) Which of the figures is using scientific notation?

1.

(Refer to Figure 70.) Which alternative answer is equal to 5.59?

1.

If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?

3,023.

1.21875 is equal to

39/32.

Solve the equation. (32 x 3/8) ÷ 1/6 =

72

An engine of 98 horsepower maximum is running at 75 percent power. What is the horsepower being developed?

73.50.

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)

75

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?

75.9 percent.

(Refer to Figure 56.) Compute the area of the trapezoid.

10 square feet.

What power of 10 is equal to 1,000,000,000?

10 to the sixth power.

(Refer to Figure 69.) Solve the equation.

12.

The result of 7 raised to the third power plus the square root of 39 is equal to

349.24.

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?

$130.00

Solve the equation. [(4 x -3)+(-9 x 2)] ÷ 2 =

-15

(Refer to Figure 59.) Solve the equation.

-5.20.

Solve the equation. -6[-9(-8 + 4) - 2(7 + 3)] =

-96

The number 3.47 x 10 to the negative fourth power is equal to

.00347.

(Refer to Figure 53.) Solve the equation.

.0419.

(Refer to Figure 67). Solve the equation.

0.42.

The radius of a piece of round stock is 7/32. Select the decimal which is most nearly equal to the diameter.

0.4375.

Which decimal is most nearly equal to a bend radius of 31/64?

0.4844.

Convert 7 to binary form.

0111.

Select the decimal which is most nearly equal to 77/64.

1.2031.

Which alternative answer is equal to 16,300?

1.63 x 10 to the fourth power.

Select the fractional equivalent for a 0.0625 inch thick sheet of aluminum.

1/16.

Select the fraction which is equal to 0.0250.

1/40.

Solve the equation. 1/2 (-30 + 34) 5

10.

(Refer to Figure 60.) Solve the equation.

11.9.

A blueprint shows a hole of 0.17187 to be drilled. Which fraction size drill bit is most nearly equal?

11/64.

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?

12.5

(Refer to Figure 58.) Solve the equation.

14.002.

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)

14.6 ampers.

What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning 420 RPM?

140 RPM.

Convert the binary number 1111 to decimal form.

15.

(Refer to Figure 68.) Which results in the largest number?

2.

Which of the following is the square root of (-1776)/(-2) - 632?

16.

What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?

1:1.8.

Solve the equation. (-3 + 2)(-12 - 4) + (-4 + 6) x 3

22

What is the square root of 16 raised to the fourth power?

256.

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 a total piston displacement of

259.77 cubic inches.

Find the cube of 64.

262,144.

What is the surface area of a cube where a side (edge) measures 7.25 inches?

315.375 sq. in.

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

32

What is the square root of 4 raised to the fifth power?

32

(Refer to the Figure 66.) Solve the equation.

36,002.

(Refer to Figure 71.) What is the volume of a sphere with a radius of 4.5 inches?

381.7 cubic inches.

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?

4,331.25.

Find the square root of 1,746.

41.7852

A pinion gear with 14 teeth is driving a spur gear with 42 teeth at 140 RPM. Determine the speed of the pinion gear.

420 RPM.

What is the ratio of 10 feet to 30 inches?

4:1

(Refer to Figure 52.) Solve the equation.

5

(Refer to Figure 54.) Compute the area of the trapezoid.

52.5 square feet.

What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds?

5:7

(Refer to Figure 55.) Find the area of the triangle shown.

6 square inches.

Find the square root of 3,722.1835.

61.0097.

Express 5/8 as a percent.

62.5 percent.

(Refer to Figure 57.) Determine the area of the triangle formed by points A, B, and C. A to B = 7.5 inches A to D = 16.8 inches

63 square inches.

If the volume of a cylinder with the piston at bottom center is 84 cubic inches and the piston displacement is 70 cubic inches, then the compression ratio is

6:1.

What is the piston displacement of a master cylinder with a 1.5-inch diameter bore and a piston stroke of 4 inches?

7.0686 cubic inches.

Select the container size that will be equal in volume to 60 gallons of fuel. (7.5 gal = 1 cu ft)

8.0 cubic feet.

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)

8.83

Sixty-five engines are what percent of 80 engines?

81 percent.

An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 65 percent power?

81.

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

82

Express 7/8 as a percent.

87.5 percent

What is defined as a group of bits representing a complete piece of information?

Byte.

Examples of units used in the conventional (U.S. or English) measurement include

inch, feet, and yard.

The total piston displacement of a specific engine is

the total displaced by all pistons during the revolution of the crankshaft.