Chapter 1

Question 1

The base used in common logarithms is:
Select one:

A.
e

B.
1

C.
10

D.
100

E.
x.

Answer 1

C.
10

Question 2

The formula “F = (9/5)C + 32”, can be be rearranged as “C = _______”:
Select one:

A.
(9/5)F + 32.

B.
(9/5)F - 32.

C.
(5/9)F + 32.

D.
(5/9)(F - 32).

E.
(5/9) - 32F.

Answer 2

D.
(5/9)(F - 32).

Question 3

In the expression 4² = 16, the number ‘4’ is called the _____ of 16.
Select one:

A.
Square root.

B.
Cube root.

C.
Square.

D.
Cube.

E.
Multiplicand.

Answer 3

A.
Square root.

Question 4

If A = π r² solve for ‘r’:
Select one:

A.
√(πA)

B.
(πA)/2

C.
√(A/π)

D.
A²π

E.
Aπ².

Answer 4

C.
√(A/π)

Question 5

A number taken to the third power is said to be??:
Select one:

A.
Squared.

B.
Cubed.

C.
Tripled.

D.
Multiplied by three.

E.
A cube root.

Answer 5

B.
Cubed.

Question 6

The common and Naperian logarithms for the number 272 are:
Select one:

A.
1.4346, 3.3032

B.
2.4346, 5.6058

C.
3.4345, 7.9084

D.
4.4345, 7.9084

E.
5.4345, 7.9084.

Answer 6

B.
2.4346, 5.6058

Question 7

The natural or Naperian logarithm of 0.00478 is:
Select one:

A.
-5.3433

B.
-3.0407

C.
-2.3205

D.
2.3205

E.
5.3433.

Answer 7

A.
-5.3433

Question 8

If s = [1/2(v + u)] x t, solve for ‘v’:

Select one:

A.
2s/t - u

B.
2s - ut

C.
2s/t + u

D.
su + 2t

E.
2u - st.

Answer 8

A.
2s/t - u

Question 9

Using the formulas, F = (9/5)C + 32 and K = C + 273, convert 68o Fahrenheit to Kelvin.
Select one:

A.
0 K

B.
20 K

C.
32 K

D.
273 K

E.
293 K.

Answer 9

E.
293 K.

Question 10

What is the value of D in the following equation:
0.005 + D = 0.0055
Select one:

A.
0.025

B.
0.0005

C.
0.06

D.
1

E.
(1 - 0.055 - 0.005).

Answer 10

B.
0.0005

Question 11

Find ‘u’ if v² = u² + 2as, given that v = 34 m/s, a = 9.81 m/s², and s = 8 m.
Select one:

A.
31.6 m/s

B.
36.2 m/s

C.
1334.6 m/s

D.
999 m/s

E.
2668.3 m/s.

Answer 11

A.
31.6 m/s

Question 12

The rule for algebraic multiplication and division states:
Select one:

A.
Like signs equal a negative answer and unlike signs equal a negative answer.

B.
Like signs equal a negative answer and unlike signs equal a positive answer.

C.
Both like and unlike signs equal a negative answer.

D.
Like signs produce a positive answer and unlike signs produce a negative answer.

E.
Like signs equal a negative answer and unlike signs equal a positive answer.

Answer 12

D.
Like signs produce a positive answer and unlike signs produce a negative answer.

Question 13

Find the antilogarithm of 3.7996.
Select one:

A.
6303.76

B.
630.4

C.
3

D.
63

E.
6.3

Answer 13

A.
6303.76

Question 14

What number has 13.4146 as its natural logarithm?
Select one:

A.
1.3415

B.
2.5963

C.
259.63

D.
669.71

E.
669709.96.

Answer 14

B.
2.5963

Question 15

Solve (a + 5b) - 2(a - 4) = 3(2a + b) - 7(a - 3) for b:
Select one:

A.
10.7

B.
6.5

C.
2.4

D.
5.6

E.
8.7.

Answer 15

B.
6.5

Question 16

Rearranging an equation to isolate the unknown is called:
Select one:

A.
Isolating.

B.
Interpolating.

C.
Squaring.

D.
Transposing.

E.
Solving.

Answer 16

D.
Transposing.

Question 17

The common logarithm of a number is _________ times its natural logarithm.
Select one:

A.
32.026

B.
23.3026

C.
13.3026

D.
0.1

E.
2.3026.

Answer 17

E.
2.3026.

Question 18

What is ‘ln N’ if log N = 3.825
Select one:

A.
1.522

B.
1.661

C.
8.807

D.
28.087

E.
88.087.

Answer 18

C.
8.807

Question 19

Given P1V1ⁿ = P2V2ⁿ , find ‘n’ if P1 = 1.08 kPa, V1 = 2.15 m³, P2 = 12.43 kPa and V2 = 0.35 m³.
Select one:

A.
11.618

B.
1.89

C.
3.58

D.
1.346

E.
1.375.

Answer 19

D.
1.346

Question 20

An equation is a statement of:
Select one:

A.
Multiplication.

B.
Division.

C.
Squaring.

D.
Addition.

E.
Equality.

Answer 20

E.
Equality.