Worksheets[11-25-2025] Quiz in MATH 113 - Part 4
Total questions: 100
Worksheet time: 50mins
Name
Class
Date
1.
The real roots of a cubic equation are the _____.
a)
points of inflection of the graph of the equation
b)
points of intersection of the graph of the equation with the x-axis
c)
points of intersection of the graph of the equation with the y-axis
d)
obtained by using the quadratic formula
2.
For a cubic equation, the discriminant is found to be greater than zero. The roots are _____.
a)
one real and two conjugate complex roots
b)
three distinct roots
c)
three real roots , which two are equal
d)
none of these
3.
What do you call an angle whose terminal side coincides with an axis?
a)
Reflex
b)
Quadrantal
c)
Right
d)
Co-terminal
4.
The first derivative with respect to y of the function d(y)= 2√10 is _____.
a)
4√10
b)
√10
c)
6.32
5.
The harmonic mean between a and b.
a)
(a + b)/2
b)
2ab/(a + b)
c)
(a + b)/ab
d)
ab/(a + b)
6.
The geometric mean of a and b is _____.
a)
(a + b)/2
b)
2(a + b)
c)
ab/(a + b)
d)
√ab
7.
A figure numbers which can be drawn as dots and arranged in square shape ( i.e. 1, 4, 9, 16, 25…)
a)
Cubic numbers
b)
Square numbers
c)
Pyramid numbers
d)
Pentagon numbers
8.
<p>A sequence 1, 8, 27, 64, 125, 216… is known as _____.</p>
a)
A. pyramid numbers
b)
B. cubic numbers
c)
C. tetrahedral numbers
d)
D. square numbers
9.
A sequence of numbers where every term is obtained by adding all the preceding terms a square number series such as 1, 5, 14, 30, 55, 91…
a)
Pyramid numbers
b)
Tetrahedral numbers
c)
Euler’s numbers
d)
Triangular numbers
10.
What is the additive identity element?
a)
0
b)
1
c)
-1
d)
infinity
11.
The number zero has no _____.
a)
multiplicative inverse
b)
additive inverse
c)
multiplicative identity
d)
additive identity
12.
Which of the following is NOT a property of a binomial expansion of (x + y)ⁿ?
a)
power is decreasing
b)
power of y is increasing
c)
sum of exponents in each term = n
d)
number of terms = n - 1
13.
The coefficient of the second term of the expansion of (x + y) n is always equal to _____.
a)
n
b)
n - 1
c)
n + 1
d)
n/2
14.
If the sign between the terms of the binomial is negative, its expansion will have signs which are _____.
a)
all positive
b)
all negative
c)
alternate starting with positive
d)
alternate starting with negative
15.
The fundamental principle of counting states that is one thing can be done in “m” different ways and another thing can be done in “n” different ways, then the two things can be done in _____. different ways.
a)
m + n
b)
m x n
c)
m! + n!
d)
mn
16.
Is the arrangement of the objects regardless of the order they are arranged.
a)
Permutation
b)
Combination
c)
Probability
d)
Any two of the above
17.
The number of elements in the collection being permuted is the _____ of the permutation.
a)
degree
b)
sum
c)
index
d)
all of the above
18.
The value of the probability of any outcome will never be equal to nor exceed _____.
a)
0.1
b)
0.5
c)
0.75
d)
1
19.
If the probability of occurrence of a is Pa, what is the probability that will nor occur?
a)
1/Pa
b)
1 - Pa
c)
1 + Pa
d)
√Pa
20.
The difference between the highest score and the lowest score in the distribution.
a)
deviation
b)
range
c)
median
d)
mode
21.
A graph of cumulative frequency distribution plotted at class makes and connected by straight lines.
a)
Histogram
b)
Venn diagram
c)
Ogive
d)
Scattergram
22.
A number that occurs most frequent in a group of numbers.
a)
Median
b)
Mode
c)
Means
d)
Standard deviation
23.
It is the quotient of the absolute error divided by the true value.
a)
Relative error
b)
Relative change
c)
Absolute error
d)
Mistake
24.
If the absolute error does not exceed a half unit in the last digit, this digit is usually referred to as the _____.
a)
significant digit
b)
leading digit
c)
reliable digit
d)
relative digit
25.
The _____ is stated in the magnitude of the absolute or relative error of the approximated value.
a)
precision
b)
accuracy
c)
mistake
d)
error
26.
It is any of the digit from 1 to 9 inclusive, and 0 except when it is used to place a decimal.
a)
Leading digit
b)
Significant figure
c)
Decimal number
d)
Numerals
27.
Each of two or more numbers which is multiplied together to form a product are called _____.
a)
terms
b)
expression
c)
dividends
d)
factors
28.
A relation in which every ordered pair (x, y) has one and only one value of y that corresponds to the value of x is called _____.
a)
term
b)
coordinates
c)
function
d)
domain
29.
A symbol holding a place for an unspecified constant is called _____.
a)
arbitrary constant
b)
parameter
c)
variable
d)
all of the above
30.
The sum of any point number and its reciprocal is _____.
a)
always less than 2
b)
always equal to 2
c)
always greater than 2
d)
always equal to the number’s additive inverse
31.
If a is an odd number and b is an even number, which of the following must be even?
a)
a + b
b)
a - b
c)
ab
d)
a/b
32.
Any one of the individual constants of an expressed sum of constant is called _____.
a)
addend
b)
multiple
c)
factor
d)
summation
33.
A number of the form a + bi with a and b real constant and i is the square root of -1.
a)
imaginary number
b)
complex number
c)
radical
d)
compound number
34.
For every law of addition and subtraction, there is a parallel law for multiplication and division, except division by _____.
a)
negative values
b)
zero
c)
one
d)
positive values
35.
Two rational numbers a/b and c/d are said to be equal if _____.
a)
ad = bc
b)
ac = bd
c)
ab = cd
d)
a + b = c + d
36.
The study of the properties of positive integers is known as _____.
a)
number of theory
b)
theory of equation
c)
set theory
d)
arithmetic
37.
A number is said to be in _____ when it is written as the product of a number having the decimal point just after the leading digit, and a power of 10.
a)
scientific notation
b)
exponential
c)
irrational
d)
logarithm
38.
Refers to the numbers which are not the roots of any algebraic equation.
a)
Irrational numbers
b)
Transcendental numbers
c)
Imaginary numbers
d)
Composite
39.
The numbers denoted as “e” and equal to 2.718… is called the _____.
a)
Einstein constant
b)
Euler’s number
c)
Fibonacci number
d)
Fermat’s number
40.
<p>Simplify n!/(n - 1)!</p>
a)
n + 1
b)
n - 1
c)
(n + 1)!
d)
n
41.
The conjecture that every even number (except 2) equals the sum of two prime numbers.
a)
Goldbach conjecture
b)
Fibonacci series
c)
Number conjecture
d)
Fermat’s last theorem
42.
It was conjecture that the number in the F_p = 2ᵖ ⁺ ¹ will always result to a prime number, however proved wrong. What do you call the numbers obtained using the said formula?
a)
Mersene numbers
b)
Fermat numbers
c)
Euler numbers
d)
Pseudo number
43.
A set of all subsets of a given set, containing empty set and the original set.
a)
empty
b)
null
c)
power set
d)
union
44.
If an infinite series has a finite sum, it is referred to as a _____.
a)
convergent series
b)
divergent series
c)
geometric series
d)
none of the above
45.
The sum of the factorial infinite 1/1! + 1/2! + 1/3! + 1/4!... is _____.
a)
π
b)
e
c)
√2
d)
√3
46.
“My Dear Aunt Sally” is the basic rule used I operation of algebra. Which is used in determining the signs of trigonometric functions in all quadrants?
a)
All chemists thick solution
b)
All students can think
c)
All students take chemistry
d)
All teachers can sing
47.
QED is often written at the end of a proof to indicate that its conclusion has been reached. This means _____.
a)
Quod erat daciendum
b)
Duod erat demonstrandum
c)
Quod erat decientrandum
d)
None of the above
48.
The process of reasoning wherein a final conclusion is obtained by experimental method.
a)
Mathematical deduction
b)
Mathematical opposition
c)
Mathematical conversion
d)
Mathematical induction
49.
A sequence having a defined first and last term is called _____.
a)
infinite sequence
b)
convergent sequence
c)
divergent sequence
d)
finite sequence
50.
A convergent series is said to be _____ if it diverges when the terms are replaces by their absolute values
a)
absolute convergent
b)
conditional convergent
c)
infinite convergent
d)
finite convergent
51.
Venn diagram is a pictorial representation which helps us visualize the relations and operations with sets. This was introduced by _____.
a)
John Venn
b)
Jan Michael Venn
c)
James Venn
d)
Stephen Venn
52.
A line segment joining two points on a circle.
a)
sector
b)
chord
c)
arc
d)
tangent
53.
High alkaline water in a boiler causes _____.
a)
pitting
b)
fire cracks
c)
corrosion
d)
caustic
54.
Amount of heat needed to raise the temperature of 1 pound of that substance one degree Fahrenheit is _____.
a)
BTU
b)
Specific Heat
c)
Relative Heat
d)
Latent Heat
55.
Water in an open glass at room temperature is _____.
a)
saturated liquid
b)
compressed liquid
c)
liquid with quality is zero
d)
liquid with quality is unity
56.
In a system the sum of internal energy and the product of pressure and volume is _____.
a)
entropy
b)
enthalpy
c)
work
d)
heat
57.
One English hp is 746 Watts. In SI, one metric hp is _____.
a)
736 watts
b)
746 watts
c)
756 watts
d)
760 watts
58.
One mm of Hg is equivalent to _____.
a)
13.33 kPa
b)
3.313 kPa
c)
0.1333 kPa
d)
1.333 kPa
59.
Color for water pipes.
a)
green
b)
orange
c)
violet
d)
ultra red
60.
The ideal reversible Carnot cycle revolves four basic processes. They are:
a)
two isentropic
b)
all isentropic
c)
all isothermal
d)
two isentropic and two isothermal
61.
For an existing boiler installation, the lowest of safety permissible shall be:
a)
3
b)
3.5
c)
4
d)
4.5
62.
Ratio between the average load and the peak load.
a)
Load factor
b)
Use factor
c)
Demand factor
d)
Capacity factor
63.
The New Mechanical Engineering Law which was signed last February 12, 1998 is known as:
a)
RA 8491
b)
RA 8495
c)
RA 8499
d)
RA 8492
64.
Which of the following is the basis of Bernoulli’s Law for fluid flow?
a)
Fourier’s law
b)
Continuity equation
c)
Principle of mass conservation
d)
Principle of energy conservation
65.
What condition exist in an adiabatic throttling process?
a)
Variable enthalpy
b)
Constant enthalpy
c)
Constant entropy
d)
Volume constant
66.
Instrument used in determining the specific gravity of any substance.
a)
Hydrometer
b)
Westphal balance
c)
Psychrometer
d)
All of the above
67.
A process that has no heat transfer.
a)
reversible
b)
adiabatic
c)
polytropic
d)
isometric
68.
Form of energy associated with kinetic energy of the random motion of large number of molecules.
a)
Heat
b)
Heat of fusion
c)
Kinetic energy
d)
Enthalpy
69.
Turbojet engine thrust is produced by:
a)
thrust reaction of the turbine blading
b)
ram effect of the intake fuel
c)
additional weight of the injected fuel
d)
acceleration of the cases through the engine
70.
Gross profit, sales less cost of good sold, as a percentage of a sales is called _____.
a)
profit margin
b)
gross margin
c)
net income
d)
rate of return
71.
A type of bond which does not have security except a promise to pay by the issuing corporation.
a)
Mortgage
b)
Registered bond
c)
Collateral trust bond
d)
Debenture bond
72.
Solid angles are measured in _____.
a)
mil
b)
radians
c)
steradians
d)
circular mils
73.
When an imaginary number is raised to an even exponent, it _____.
a)
becomes infinite
b)
becomes negative imaginary number
c)
becomes relatively small number
d)
becomes real number
74.
In the proportion of four quantities, the first and fourth terms are referred to as the _____.
a)
means
b)
extremes
c)
denominators
d)
numerators
75.
The _____ stated in the magnitude of the absolute or relative error of the approximate value.
a)
precision
b)
accuracy
c)
mistake
d)
error
76.
The first non-zero digit from the left of the number.
a)
Whole number
b)
Leading digit
c)
Tens digit
d)
Units digit
77.
If two triangles have congruent bases, then the ratio of their areas equals the ratio of _____.
a)
their perimeters
b)
the length of their altitudes
c)
their sides
d)
none of the above
78.
When two planes intersects with each other, the amount of divergence between the two planes is expressed by measuring the _____.
a)
dihedral angle
b)
plane angle
c)
polyhedral angle
d)
reflex angle
79.
Any influence capable of producing change in the motion of an object is called _____.
a)
Force
b)
Velocity
c)
Acceleration
d)
Vector
80.
A type of annuity where the payments are made at the start of each period, beginning from the first period.
a)
Ordinary Annuity
b)
Annuity Due
c)
Deferred Annuity
d)
Perpetuity
81.
How many edges are there in a dodecagon?
a)
6
b)
12
c)
30
d)
8
82.
The integral of any quotient whose numerator is the difference of the denominator is the _____ of the denominator.
a)
reciprocal
b)
product
c)
logarithm
d)
derivative
83.
Which is NOT an essential element of an ordinary annuity?
a)
The amounts of all payments are equal.
b)
The payments are made at equal interval of time.
c)
The first payment is made at the beginning of each period.
d)
Compound interest is paid on all amounts in the annuity.
84.
The integral of sinm θ cosn θ dθ can easily be determined by using Walli’s formula provided the limits are from _____.
a)
0 to π
b)
0 to π/2
c)
0 to π/4
d)
0 to 2π
85.
The variable inside the integral is called variable of integration or integration variable. It is sometimes referred to as _____.
a)
calculus variable
b)
dummy variable
c)
limits variable
d)
limits range
86.
A market situation where there are only two buyers with many sellers.
a)
Duopoly
b)
Oligopoly
c)
Duopsony
d)
Oligopsony
87.
The function of interest rate and time that determines the cumulative amount of a sinking fund resulting from specific periodic deposits.
a)
Sinking fund factor
b)
Present worth factor
c)
Capacity factor
d)
demand factor
88.
The terms “dozen” and “gross” used what number system?
a)
Decimal number system
b)
Duodecimal number decimal
c)
Bidecimal number system
d)
Vigesimal number system
89.
The median of a triangle is the line connecting the vertex and the midpoint of the opposite side. For a given triangle, these medians intersects at a point which is called the _____.
a)
orthocenter
b)
circumcenter
c)
centroid
d)
incenter
90.
To triple the principal, one must use.
a)
integration
b)
derivatives
c)
logarithms
d)
implicit functions
91.
For a cubic equation, we produce three distinct real roots only if the discriminant is _____.
a)
equal to zero
b)
less than zero
c)
greater than zero
d)
either less than or greater than zero
92.
A succession of numbers in which one number is designated as first , another as second, another as third and so on is called _____.
a)
series
b)
arrangement
c)
arrangement
d)
sequence
93.
An airtight closed box of weight P is suspended from a spring balance. A bird of weight W is placed on the floor of the box, and balance reads W + P. If the bird flies around in the box at a constant elevation without accelerating, what is the balance reading?
a)
P
b)
P + W
c)
P + 2W
d)
P - W
94.
The number between two geometric terms.
a)
Means
b)
Arithmetic means
c)
Geometric means
d)
Median
95.
The sum of the terms of an arithmetic progression.
a)
Arithmetic means
b)
Arithmetic sequence
c)
Arithmetic series
d)
All of the above
96.
The arithmetic mean of a and b is _____.
a)
(a + b)/2
b)
2ab/(a + b)
c)
(a + b)/ab
d)
ab/(a + b)
97.
Are numbers which can be drawn as dots and arranged in triangular shape ( i.e. 1, 3, 6, 10, 15, 21…)
a)
Triangular number
b)
Square numbers
c)
Pentagonal numbers
d)
Tetrahedral numbers
98.
A sequence 1, 5, 12, 22, 35… is known as _____.
a)
oblong numbers
b)
pentagonal numbers
c)
cubic numbers
d)
pyramid numbers
99.
A sequence 1, 4, 10, 20, 35, 56… is known _____.
a)
Pyramid numbers
b)
Cubic numbers
c)
tetrahedral numbers
d)
square numbers
100.
A sequence of numbers where the number is equal to the sum of the two preceding numbers such as 1, 1, 2, 3, 5, 8, 13, 21… is called _____.
a)
Fermat’s numbers
b)
Fibonacci numbers
c)
Gaussian numbers
d)
Archimedean numbers
100 %
