Mathematics (8)

8393. 044/053 Find the square root of 1,824.

.42708 x 10 to the second power

8415. 053 A certain aircraft bolt has an overall length of 1-½ 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

8385. 044/053 Find the value of 10 raised to the negative sixth power.

0.000001

8393-8. 053 Solve the equation 1/6 divided by (32 x 3/8)

0.0138

8393-3. 053 (Refer to figure 67.) Solve the equation.

0.042

8396. 044 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

8419. 053 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

8406. 044 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

8389. 053 Find the square root of 124.9924.

1,118 x 10 to the negative second power

8423. 053 If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?

3,023

8436. 053 Solve the equation. ½ (-30 + 34) 5 =

10

8410. 053 1.21875 is equal to?

39/32

8424. 053 An engine of 98 horsepower maximum is running at 75 percent power. What is the horsepower being developed?

73.50

8404. 044/055 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 cubic foot.)

75

8429. 053 The 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

8401. 044 (Refer to figure 56.) Compute the area of the trapezoid.

10 square feet

8379. 044/053 What power of 10 is equal to 1,000,000,000?

10 to the ninth power

8430. 053 What is the ratio of 10 feet to 30 inches?

4 : 1

8398. 055 What force is exerted on the piston in a hydraulic cylinder if the area of the piston isa 1.2 square inches and the fluid pressure is 850 PSI?

1,020 pounds

8383-1. 044/053 Solve the equation: (SQ100 + SQ36 - SQ16) = where SQ is "square root").

12

8391-1. 044/053 Solve the equation: (SQ100 + SQ36 - SQ16) = (where SQ is "square root").

12

8422. 053 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

8432. 053 Solve the equation. [(4 x -3) + (-9 x 2)} divided by 2 =

-15

8438. 053 (Refer to figure 59.) Solve the equation.

-5.20

8440. 053 Solve the equation. -6[-9(-8 + 4) - 2(7 + 3)] =

-96

8387. 044/053 The number 3.47 x 10 to the negative fourth power is equal to?

.000347

8391. 044/053 (Refer to figure 53.) Solve the question.

.0419

8428. 053 The radius of a piece of round stock is 7/32. Select the decimal which is most nearly equal to the diameter.

0.4375

8426. 053 Which decimal is most nearly equal to a bend radius of 31/64?

0.4844

8393-1. 044/053 (Refer to figure 65.) Which of the following is using scientific notation?

1

8393-2. 044/053 (Refer to figure 70.) Which alternative answer is equal to 5.59?

1

8418. 053 Select the decimal which is most nearly equal to 77/64.

1.2031

8388. 044/053 Which alternative answer is equal to 16,300?

1.63 x 10 to the fourth power

8416. 053 Select the fractional equivalent for a 0.0625 thick sheet of aluminum.

1/16

8409. 053 Select the fraction which is equal to 0.025.

1/40

8379-3. 031 Show "17" as a Binary Number:

10001

8379-4. 031 What is the binary code for 10?

1010

8442. 053 (Refer to figure 60.) Solve the equation.

11.9

8425. 053 A blueprint shows a hole of 0.17187 to be drilled. Which fraction size drill bit is most nearly equal?

11/64

8399. 044/055 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

8393-11. 053 Select the fractional equivalent for 0.20312

13/64

8437. 053 (Refer to figure 58.) Solve the equation.

14.002

8431. 053 How much current does a 30-volt ½ horsepower motor that is 85-percent efficient draw from the bus? (Note: 1 horsepower = 746 watts)

14.6 amperes

8413. 053 What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning 420 RPM?

140 RPM

8379-2. 031 Convert the binary number 00001111 to a whole number.

15

8383. 044/053 Which of the following is the square root of (-1776) divided by (-2) - 632?

16

8393-4. 053 (Refer to figure 68.) Which results in the largest number?

2

8393-6. 053 (Refer to figure 68) Which equation is equal to 463,100?

2

8441. 053 Solve the equation. (-3 + 2)(-12 - 4) + (-4 + 6) x 3 =

22

8405-1. 044 If an airplane has two 28-gallon fuel tanks, how many quarts would it contain if they are full?

224

8434-1. 053 Solve the equation. 4 - (-2) + 12 divided by 2 x 3 =

24

8390. 044/053 What is the square root of 16 raised to the fourth power?

256

8408. 044/055 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

8384. 044/053 Find the cube of 64.

262,144

8393-7. 053 Which of the following is equal to the square root of 3,844?

31(2) + 7 + (-3.5 x 2)

8394-1. 044/055 What is the surface area of a cube where a side (edge) measures 7.25 inches?

315.375 sq. In

8386. 044/053 What is the square root of 4 raised to the fifth power?

32

8433. 053 Solve the equation. (64 x 3/8) divided by ¾ =

32

8392. 044/053 The result of 7 raised to the third power plus the square root of 39 is equal to?

349.24

8442-1. 053 (Refer to figure 66.) Solve the equation.

36,002

8695-1. 053 (Refer to figure 71.) What is the volume of a sphere with a radius of 4.5 inches?

381.7 cubic inches

8407. 044/055 A rectangular shaped fuel tank measures 37-½ inches in length, 14 inches in width, and 8-¼ inches in depth. How many cubic inches are within the tank?

4,331.25

8380. 044/053 Find the square root of 1,746.

41.7852

8420. 053 What is the speed ratio of a gear with 36 teeth meshed to a gear with 20 teeth?

420 RPM

8381. 044/053 (Refer to figure 52.) Solve the question.

5

8435. 053 What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds?

5 : 7

8393-9. 053 Select the fractional equivalent of 0.078125.

5/64

8395. 044 (Refer to figure 54.) Compute the area of the trapezoid.

52.5 square feet

8411. 053 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

8397. 044/055 (Refer to figure 55.) Find the area of the triangle shown.

6 square inches

8382. 044/053 Find the square root of 3,722.1835.

61.0097

8417. 053 Express 5/8 as a percent.

62.5 percent

8402. 044/055 (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

8403. 044 What is the piston displacement of a master cylinder with a 1.5-inch diameter bore and a piston stroke of 4 inches?

7.00686 cubic inches

8400. 044/055 Select the container size that will be equal in volume to 60 gallons of fuel. (7.5 gal = 1 cubic foot)

8.0 cubic feet

8405. 044 A rectangular shaped fuel tank measures 27-½ inches Iength, ¾ foot in width, and 8-¼ inches in depth. How many gallons will the tank contain? (231 cubic inches = 1 gallon)

8.83

8414. 053 An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 65 percent power?

81

8427. 053 Sixty-five engines are what percent of 80 engines?

81 percent

8439. 053 Solve the equation. 4 - 3[-6(2+3) + 4] =

82

8393-10. 053 1.296875 is equal to?

83/64

8412. 053 Express 7/8 as a percent.

87.5 percent

8393-5. 053 7056.0452 x 1/72 is most nearly equal to the square root of which of the following?

9,604

8414-1. 053 The speed of sound at sea level is 760 mph. If an aircraft is flying at Mach 1.3 sea level, what is the speed in mph?

988 mph

8379-1. 031 What is defined as a group of bits representing a complete piece of information?

Byte

8394. 044/055 The total piston displacement of a specific engine is?

The volume displaced by all the pistons during one revolution of the crankshaft