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WorksheetsMESL NI ENGR.
Total questions: 95
Worksheet time: 48mins
For a given function, it is found that f(t)= f(-t). What type of symmetry does f(t) have?
Odd symmetry
Even symmetry
Rotational symmetry
Quarter-wave symmetry
Which number has four significant figures?
0.0014
0.01414
0.141
1.4140
Naperian logarithm has a base closest to which number?
2.17
2.72
3.14
10
If the second derivative of the equation of a curve is equal to the negative equation of that same curve, the curve is
An exponential
A sinusoid
A tangent
A parabola
To find the angle of a triangle, given only the lengths of the sides, one would use
The law of cosines
The law of sines
The law of tangents
The inverse-square law
Which is true regarding the signs of the natural functions for angles between 90º and 180º?
The tangent is positive
The cotangent is positive
The cosine is negative
The sine is negative
What is the inverse natural function of cosecant?
Secant
Sine
Cosine
Cotangent
The graphical presentation of a cumulative frequency distribution in a set of statistical data is called ________.
Histogram
Kurtosis
Lepticurtic
Ogive
A statement of truth of which follows with little or no proof from a theorem.
Axiom
Hypothesis
Corollary
Conclusion
It is a sequence of numbers such that the successive terms differ by a constant.
Arithmetic progression
Infinite progression
Geometric progression
Harmonic progression
A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.
Histogram
Ogive
Frequency distribution
Bar graph
If the roots of an equation is zero, then they are classified as
Hyperbolic solution
Zeros of function
Extraneous roots
Trivial solution
Convergent series is a sequence of decreasing number or when the succeeding term is ________ the preceding term.
greater than
equal to
lesser than
none of the above
If a = b then b = a. This illustrates what axiom of algebra?
Symmetric Axiom
Reflexive Axiom
Transitive Axiom
Replacement Axiom
A and B are independent events. The probability that event A will occur is Pa and the probability that A and B will occur is Pab. From these two statements, what is the probability that event B will occur?
Pa - Pab
Pb - Pab
Pa × Pb
none of the above
Two or more equations are equal if and only if they have the same
Solution set
Degree
Order
Variable set
In any square matrix, when the elements of any two rows are exactly the same, the determinant is
Zero
Positive integer
Negative integer
Unity
The ratio and product of two expressions direct or inverse relation with each other is called
Ratio and proportion
Means
Extremes
Constant of variations
Is a sequence of terms whose reciprocals form an arithmetic progression?
Geometric progression
Harmonic progression
Algebraic progression
Ratio and proportion
An array of m × n quantities which represent a single number system composed of elements in rows and columns is known as
Transposed matrix
Cofactor of a matrix
Matrix
Determinant
Binary number system is a system of notation for real number that uses the place value method with 2 as the base. What is another name for the binary number system?
Binary digits
Binumber system
Dyadic number system
Bits
The number 0.123123123... is a/an
Irrational number
Surd
Rational number
Transcendental
MCMXCIV is the Roman numeral equivalent to
1974
1984
1994
2994
A sequence of numbers where the succeeding term is greater than the preceding term is called
Dissonant series
Convergent series
Divergent series
Isometric series
Terms that differs only in numeric coefficients are known as
Unlike terms
Unequal terms
Like terms
Similar equations
In complex algebra, we use diagram to represent complex plane commonly called
Argand diagram
Venn diagram
Maxwell diagram
Cartesian diagram
7 + 0i is
An irrational number
Real number
Imaginary number
A variable
The number of successful outcomes divided by the number of possible outcomes is
Odd
Combination
Permutation
Probability
If a two digit number has x for its unit digit and y for its tens digit, the number is represented as
x + y
y - x
10y + x
10x - y
A statement of truth which is admitted without proof.
Axiom
Theorem
Postulate
Corollary
The part of theorem which assumed to be true.
Corollary
Hypothesis
Postulate
Conclusion
A statement of truth which follows with little or no proof from the theorem.
Corollary
Axiom
Postulate
Conclusion
Refers to the construction of drawing of lines and figures the possibility of which is admitted without proof.
Corollary
Theorem
Postulate
Hypothesis
A mathematical statement which neither been proved nor denied by counterexamples.
Fallacy
Conjecture
Theorem
Paradox
A proved proposition which is useful mainly as a preliminary to the proof of a theorem.
Lemma
Hypothesis
Postulate
Corollary
Axioms are propositions of general logical nature (about equal or unequal) while ________ are propositions concerning objects and constructions.
Theorems
Corollaries
Conclusions
Postulates
A ________ is an ancillary theorem whose result is not target for the proof
Postulate
Lemma
Hypothesis
Conclusion
Statements that are accepted without discussion or proof are called axioms. The word “axiom” comes from the Greek “axioma” which means
Worth
Correct
True
Perfect
In mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called
Lemma
Hypothesis
Postulate
Theorem
The product of two or more number is the same in whatever order they are multiplied. This refers to
Associative law of addition
Associative law of multiplication
Commutative law of multiplication
Distributive law of multiplication
If a = b, then b can replace a in any equation. This illustrates what law of identity?
Reflexive law
Law of symmetry
Transitive law
Substitution law
If a = a, then it illustrates what law of identity?
Reflexive law
Law of symmetry
Transitive law
Substitution law
If a = b, and b = c, then a = c. This illustrates
Reflexive law
Law of symmetry
Transitive law
Substitution law
The axiom which relates addition and multiplication is the ____ law.
Commutative
Associative
Distributive
None of the above
Any combination of symbols and numbers related by the fundamental operation of algebra is called a/an
Equation
Algebraic expression
Term
Algebraic sum
The algebraic expression consisting a sum of any number of terms is called a/an
Multinomial
Summation
Binomial
Monomial
An equation which is satisfied by all values of the variable for which the members of the equation defined is known as
Linear equation
Rational equation
Conditional equation
Irrational equation
An equation in which some or all of the known quantities are represented by letters is called
Redundant equation
Literal equation
Linear equation
Defective equation
An equation in which the variable appear under the radical symbol.
Irradical equation
Irrational equation
Quadratic equation
Linear equation
An equation in which, because of some mathematical process, has required an extra root is sometimes called as
Redundant equation
Literal equation
Linear equation
Defective equation
Any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as
Redundant equation
Literal equation
Linear equation
Defective equation
An algebraic expression which can be represented as a quotient of two polynomials.
Irrational algebraic expression
Reduced algebraic expression
Rational algebraic expression
Complex algebraic expression
A statement containing one or more variables and having the property that it becomes either true or false when variables are given specific values from their domains.
Solution
Problem
Open sentence
Worded problem
Any algebraic term is a/an _______ term in certain representing numbers if it consists of the product of possible integral powers of these numbers and a factor not containing them.
Integral
Rational
Irrational
Integral rational
An equation in x and y which is not easily solved for y in terms of x is called
Explicit
Implicit function
Discontinuity
Quadratic
The number which are represented with letters.
Variables
Unknowns
Literal numbers
Terms
Equation whose members are equal only for certain or possibly no value of the unknown.
Conditional equations
Inequalities
Unconditional equations
Temporary equations
An algebraic expression consisting of one term.
Monomial
Binomial
Linear
Monomode
In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.
Expression
Term
Equation
Coefficient
An expression of two terms is called
Polynomial
Duonomial
Binomial
All of the above
The degree of the polynomial or equation is the
Maximum exponent
Maximum sum of exponents
Exponent of the first variable
Maximum exponent of x
What is the degree of the polynomial 3x^4y + y + 2x^3z^3 - 4yz^2?
6th
5th
4th
3rd
Any fractions which contains one or more fractions in either numerator or denominator, or both is called
Compound fraction
Composite fraction
Complex fraction
All of the above
A common fraction with unity for numerator and a positive as denominator (i.e. 1/n).
Ordinary fraction
Unit fraction
Common fraction
Improper fraction
If the absolute value of the numerator of a fraction is smaller than the denominator, it is called
Proper fraction
Improper fraction
Decimal fraction
Mixed number
A number that consists of an integer part (which may be zero) and a decimal part less than unity that follows the decimal marker, which may be a point or a comma.
Proper fraction
Improper fraction
Decimal fraction
Mixed number
Considered as the “counting numbers”.
Integers
Rational numbers
Irrational numbers
Natural numbers
A number represented by a non-terminating, non-repeating decimal.
Irrational number
Rational number
Natural number
Integer
The completeness axiom proved that the real number system has numbers other than
Integers
Rational numbers
Natural number
Irrational numbers
The concept of spread of a random variable or a set of observations.
Variance
Standard deviation
Dispersion
Range
A number containing a non-terminating but repeating decimal is a/an
Integer
Rational number
Natural number
Irrational number
A positive integer which has no perfect-square factor greater than 1.
Radical expression
Square integer
Square integer
Square-free integer
Which of the following is not classified as an integer?
Negative number
Positive number
Zero
Imaginary number
When an imaginary number is raised to n even exponent, it
Becomes infinite
Becomes negative imaginary number
Becomes relatively small number
Becomes real number
The complex number is in the form of a + bi. If a = 0, what do you call the resulting number?
Absolute value of the complex number
Pure imaginary number
Argument
Irrational number
For a complex number a + bi, the real number is ________ of the complex number.
Absolute value
Magnitude
Modulus
All of the above
The ______ of two complex numbers is found by multiplying each term of the one by the term of the other.
Sum
Difference
Product
Quotient
A number which can be expressed as a quotient of two integers (division of zero excluded) is called
Irrational number
Rational number
Imaginary number
Real number
A prime number has exactly how many divisors?
1
2
3
4
A prime number is an integer greater than 1 which has
1 as its only positive divisor
Itself as its only positive divisor
1 and itself as its only positive divisors
1 and its additive inverse as its only positive divisor
An integer which is the product of two integers, both different from 1 and -1 is called
Prime number
Composite number
Rational number
Compound number
A composite number has at least _____ divisors.
1
2
3
4
Two natural numbers, ‘a’ and ‘b’, are _______ if their greatest common divisor is 1.
Relatively prime
Relatively composite
Equal
Reciprocal
Numbers used to count the objects or ideas in a given collection.
Cardinal numbers
Irrational numbers
Ordinal numbers
Numerals
Number which is used to state the position of individual objects in a sequence.
Cardinal numbers
Irrational numbers
Ordinal numbers
Numerals
An integer number that is equal to the sum of all its possible divisors except the number itself is called
Amicable number
Perfect number
Defective number
Redundant number
An integer the sum of all its possible divisors except the number itself is greater than the integer is called
Abundant number
Perfect number
Defective number
Amicable number
An integer the sum of all its possible divisors except the number itself is less than the integer is called
Abundant number
Amicable number
Friendly number
Defective number
What is the smallest perfect number possible?
1
6
12
8
All perfect numbers are
Even numbers
Odd numbers
Prime numbers
Composite numbers
Two integer numbers are said to be ______ if each is the sum of all possible divisors of the other.
Perfect numbers
Defective numbers
Amicable numbers
Fermat’s numbers
What is another name for amicable numbers?
Compatible numbers
Friendly numbers
Fermat’s numbers
Inconsistent numbers
What is the smallest pair of friendly number?
180 and 190
200 and 120
220 and 284
220 and 264
Prime numbers that appear in pair and differ by 2 (eg. And 5, 11 and 13 etc.) are called
Mersenne primes
Prime number theorem
Twin primes
Pseudo primes
“Every even integer greater than 2 can be written as the sum of two primes”. This is known as
Fermat’s last theorem
Goldbach conjuncture
Prime number theorem
