NEW
Font size
WorksheetsA&P Mathematics
Total questions: 76
Worksheet time: 38mins
What power of 10 is equal to 1,000,000,000?
10 to the sixth power.
10 to the ninth power.
10 to the tenth power.
What is defined as a group of bits representing
a complete piece of information?
Bit.
Byte.
Word.
Convert the binary number 00001111 to a whole
number.
31.
15.
8.
Convert 7 to binary form.
0111.
1110.
0011.
Find the square root of 1,746.
41.7752.
40.7742.
41.7852.
(Refer to Figure 52.) Solve the equation.
115.
5.
4.472.
Find the square root of 3,722.1835.
61.00.
61.0097.
61.00971.
Which of the following is equal to the square root
of (-1776) ÷ (-2) – 632?
256.
16.
128.
(Refer to Figure 69.) Solve the equation.
76.
12.
60.
Find the cube of 64.
262,144.
192.
4.
Find the value of 10 raised to the negative sixth
power.
0.000010.
0.0001.
0.000001.
What is the square root of 4 raised to the fifth
power?
32.
20.
64.
The number 3.47 x 10 to the negative fourth power
is equal to
.00347.
34,700.
.000347.
Which alternative answer is equal to 16,300?
1.63 x 10 to the fourth power.
163 x 10 to the negative second power.
1.63 x 10 to the negative third power.
Find the square root of 124.9924.
1,118 x 10 to the negative second power.
.1118 x 10 to the negative second power.
111.8 x 10 to the third power.
What is the square root of 16 raised to the fourth
power?
4,096.
1,024.
256.
(Refer to Figure 53.) Solve the equation.
.0297.
.0419.
.1680.
The result of 7 raised to the third power plus the
square root of 39 is equal to
349.24.
343.24.
.34924.
Find the square root of 1,824.
.42708 x 10 to the second power.
42.708 x 10 to the negative second power.
.42708.
(Refer to Figure 65.) Which of the figures is using
scientific notation?
1.
both 1 and 2.
2.
(Refer to Figure 70.) Which alternative answer
is equal to 5.59?
3.
1.
2.
(Refer to Figure 67). Solve the equation.
0.042.
12.16.
5.58.
(Refer to Figure 68.) Which results in the largest
number?
1.
2.
3.
The total piston displacement of a specific engine
is
the total volume of all the cylinders.
the volume displaced by all the pistons during one
revolution of the crankshaft.
dependent on the compression ratio.
What is the surface area of a cube where a side
(edge) measures 7.25 inches?
315.375 sq. in.
52.5625 sq. in.
381.078 cu. in.
(Refer to Figure 54.) Compute the area of the trap-
ezoid.
52.5 square feet.
76.5 square feet.
60 square feet.
(Refer to Figure 71.) What is the volume of a
sphere with a radius of 4.5 inches?
47.71 cubic inches
381.7 cubic inches
381.7 square inches
What size sheet of metal is required to fabricate a
cylinder 20 inches long and 8 inches in diameter?
(Note: C = π x D)
20 inches x 25-5/32 inches.
20 inches x 25-9/64 inches.
20 inches x 24-9/64 inches.
(Refer to Figure 55.) Find the area of the triangle
shown.
12 square inches.
15 square inches.
6 square 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.
850 pounds.
960 pounds.
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?
15.0.
21.0.
12.5.
Select the container size that will be equal in vol-
ume to 60 gallons of fuel.
(7.5 gal = 1 cu ft)
7.5 cubic feet.
8.5 cubic feet.
8.0 cubic feet.
(Refer to Figure 56.) Compute the area of the
trapezoid.
48 square feet.
10 square feet.
24 square feet.
(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
126 square inches.
63 square inches.
42 square inches.
What is the piston displacement of a master cyl-
inder with a 1.5-inch diameter bore and a piston stroke
of 4 inches?
9.4247 cubic inches.
6.1541 cubic inches.
7.0686 cubic inches.
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.
45.
66.6.
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.
7.366.
170.156.
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?
235 cubic inches.
200 cubic inches.
360 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?
433.125.
59.75.
4,331.25.
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.
43.3 cubic inches.
256.88 cubic inches.
Select the fraction which is equal to 0.0250.
1/40.
1/400.
1/4.
1.21875 is equal to
83/64.
39/32.
19/16.
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
7:1
1.2:1
6:1
Express 7/8 as a percent.
8.75 percent.
.875 percent.
87.5 percent.
What is the speed of a spur gear with 42 teeth
driven by a pinion gear with 14 teeth turning 420 RPM?
588 RPM.
140 RPM.
160 RPM.
An engine develops 108 horsepower at 87 per-
cent power. What horsepower would be developed at 65
percent power?
61.
81.
70.
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.
.3125 inch.
.8750 inch.
Select the fractional equivalent for a 0.0625 inch
thick sheet of aluminum.
3/64.
1/32.
1/16.
Examples of units used in the conventional (U.S.
or English) measurement include
inch, kilometer, and fraction.
inch, meter, and rod.
inch, feet, and yard.
Express 5/8 as a percent.
.625 percent.
62.5 percent.
6.25 percent.
Select the decimal which is most nearly equal to
77/64.
1.2031.
0.08311.
0.8311.
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.
31,250.
9,375.
What is the speed ratio of an input gear with 36
teeth meshed to a gear with 20 teeth?
1:0.56.
1:1.8.
9:5.
A pinion gear with 14 teeth is driving a spur gear
with 42 teeth at 140 RPM. Determine the speed of the
pinion gear.
126 RPM.
588 RPM.
420 RPM.
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?
$128.13.
$130.00.
$125.60.
If an engine is turning 1,965 rpm at 65 percent
power, what is its maximum rpm?
3,023.
3,242.
2,653.
An engine of 98 horsepower maximum is run-
ning at 75 percent power. What is the horsepower being
developed?
87.00.
73.50.
33.30.
A blueprint shows a hole of 0.17187 to be drilled.
Which fraction size drill bit is most nearly equal?
9/32.
11/32.
11/64.
Which decimal is most nearly equal to a bend
radius of 31/64?
0.3164.
0.2065.
0.4844.
Sixty-five engines are what percent of 80 engines?
65 percent.
52 percent.
81 percent.
The radius of a piece of round stock is 7/32. Select
the decimal which is most nearly equal to the diameter.
0.4375.
0.3531.
0.2187.
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?
76.9 percent.
75.0 percent.
75.9 percent.
What is the ratio of 10 feet to 30 inches?
4:1.
1:3.
3:1.
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)
14.3 amperes.
12.4 amperes.
14.6 amperes.
Solve the equation.
[(4 x -3)+(-9 x 2)] ÷ 2 =
-15.
-5.
-30.
Solve the equation.
(64 x 3/8) ÷ 3/4 =
32.
24.
18.
Solve the equation.
(32 x 3/8) ÷ 1/6 =
2.
72.
12.
What is the ratio of a gasoline fuel load of 200 gal-
lons to one of 1,680 pounds?
2:3.
5:42.
5:7.
Solve the equation.
1/2 (-30 + 34) 5 =
10.
160.
95.
(Refer to Figure 58.) Solve the equation.
174.85.
68.037.
14.002.
(Refer to Figure 59.) Solve the equation.
-5.20.
-31.25.
+31.25.
Solve the equation.
4 – 3[-6(2 + 3) + 4] =
82.
-25.
-71.
Solve the equation.
-6[-9(-8 + 4) – 2(7 + 3)] =
-332.
-96.
216.
Solve the equation.
(-3 + 2)(-12 – 4) + (-4 + 6) x 3
22.
28.
20.
(Refer to Figure 60.) Solve the equation.
11.7.
11.09.
11.9.
(Refer to the Figure 66.) Solve the equation.
35,998.
62,208.
36,002.
