Mathematics (2)

Question 1

Find the square root of 124.924

a. 111.8x 10 to the third power
b. 1118x10 to the negative second power
c. 1,118x10 to the negative second power

Answer 1

c. 1,118x10 to the negative second power

Question 2

Compute the area of trapezoid.
4 inches
2 inches
6 inches

a. 24 square feet
b. 48 square feet
c. 10 square feet

Answer 2

c. 10 square feet

Question 3

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. 15.0
c. 21.0

Answer 3

a. 12.5

Question 4

What is the speed of a spur gear with 42 teeth drive
by a pinion gear with 14 teeth turning 420 RPM?
a. 588 RPM
b. 160 RPM
c. 140 RPM

Answer 4

c. 140 RPM

Question 5

Which alternative answer is equal to 5.59?

1. (√𝟑𝟏) + (√𝟒𝟑) ÷ 𝟏𝟕𝟐
2. (√31 + √43) ÷ 172
3. ( √31 + √43) − 172

Answer 5

1. (√𝟑𝟏) + (√𝟒𝟑) ÷ 𝟏𝟕�

Question 6

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

a. 0.2187
b. 0.4375
c. 0.3531

Answer 6

b. 0.4375

Question 7

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

a. 2653
b. 3023
c. 3242

Answer 7

b. 3023

Question 8

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

Answer 8

b. 420 RPM

Question 9

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
B C
A D

a. 42 square inches
b. 63 square inches
c. 126 square inches

Answer 9

b. 63 square inches

Question 10

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. 14.6 amperes
b. 12.4 amperes
c. 14.3 amperes

Answer 10

a. 14.6 amperes

Question 11

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

a. 128
b. 256
c. 16

Answer 11

c. 16

Question 12

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

a. 1,020 pounds
b. 960 pounds
c. 850 pounds

Answer 12

a. 1,020 pounds

Question 13

A 6 cylinder engine with 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. 256.88 cubic inches
b. 259.77 cubic inches
c. 43.3 cubic inches

Answer 13

b. 259.77 cubic inches

Question 14

Solve the equation.
−4√125
−6√−36
=
a. +31.25
b. -5.20
c. -31.25

Answer 14

b. -5.20

Question 14

What is the square root of 16 raised to the fourth power?
a. 1,024
b. 4,096
c. 256

Answer 14

c. 256

Question 15

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

a. 00347
b. 34700
c. 000347

Answer 15

c. 000347

Question 16

Solve the equation
(−5 + 23)(−2) + (3−3)(√64) /
−27 ÷ 9
a. 11.9
b. 11.7
c. 11.09

Question 16

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

a. 0.08311
b. 0.8311
c. 1.2031

Answer 16

c. 1.2031

Question 16

Solve the equation.
(32x 3/8) ÷ 1/6 =

a. 12
b. 2
c. 72

Answer 16

c. 72

Question 17

Solve the equation.
½ (-30+34)5

a.10
b. 95
c. 160

Answer 17

a.10

Question 17

Solve the equation.
[4 x -3) +(-9x2)] ÷2=

a. -30
b. -15
c. -5

Answer 17

b. -15

Question 18

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. 59.75
b. 433.125
c. 4331.25

Answer 18

c. 4331.25

Question 19

Compute the area of the trapezoid
9’
5’
12’

a. 52.5 square feet
b. 60 square feet
c. 76.5 square feet

Answer 19

a. 52.5 square feet

Question 19

Express 5/8 as a percent

a. 625 percent
b. 6.25 percent
c. 62.5 percent

Answer 19

c. 62.5 percent

Question 20

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

a. 87.00
b. 33.30
c. 73.50

Answer 20

b.22

Question 21

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

a. 7.5 cubic ft
b. 8.0 cubic feet
c. 8.5 cubic feet

Answer 21

b. 8.0 cubic feet

Question 22

Solve the equation.
(-3+2) (-12 – 4)+(-4+6) x3

a. 20
b.22
c.28

Answer 22

b.22

Question 23

Solve the equation.
-4+6+103 (√1296) =

a. 35,998
b. 36002
c. 62,208

Answer 23

b. 36002