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Worksheets

Yellow Book - Algebra A

Total questions: 100

Worksheet time: 50mins

Name
Class
Date
1.

For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?

a)

Odd symmetry

b)

Even symmetry

c)

Rotational symmetry

d)

Quarter-wave symmetry

2.

Which number has four significant figures?

a)

0.0014

b)

0.01414

c)

0.141

d)

1.4140

3.

Naperian logarithm have a base closest to which number?

a)

2.17

b)

2.72

c)

3.14

d)

10

4.

If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is

a)

An exponential

b)

A sinusoid

c)

A tangent

d)

A parabola

5.

To find the angle of triangle, given only the lengths of the sides, one would use

a)

The law of cosines

b)

The law of sines

c)

The law of tangents

d)

The inverse-square law

6.

Which us true regarding the signs of the natural functions for angles between 90 deg to 180 deg?

a)

The tangent is positive

b)

The cotangent is positive

c)

The cosine is negative

d)

The sine is negative

7.

What is the inverse natural function of the cosecant?

a)

secant

b)

sine

c)

cosine

d)

cotangent

8.

The graphical presentation of a cumulative frequency distribution in a set of statistical data is called ____

a)

histogram

b)

kurtosis

c)

lepticurtic

d)

ogive

9.

A statement of truth of which follows with little or no proof from a theorem

a)

axiom

b)

hypothesis

c)

corollary

d)

conclusion

10.

It is a sequence of numbers such that the successive terms differ by a constant.

a)

arithmetic progression

b)

infinite progression

c)

geometric progression

d)

harmonic progression

11.

A frequency curve which is composed of series of rectangles constructed with the steps as the base and the frequency as the height.

a)

histogram

b)

ogive

c)

frequency of distribution

d)

bar graph

12.

If the roots of an equation are zero, then they are classified as

a)

hyperbolic solution

b)

zeros of function

c)

extraneous roots

d)

trivial roots

13.

Convergent series is a sequence of decreasing number or when the succeeding term is ____ the preceding term.

a)

greater than

b)

equal to

c)

lesser than

d)

none of the above

14.

If a = b then b = a. This illustrates what axiom in algebra?

a)

symmetric axiom

b)

reflexive axiom

c)

transitive axiom

d)

replacement axiom

15.

A and B are independent events. The probabilty 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?

a)

Pa - Pb

b)

Pb - Pab

c)

Pa x Pb

d)

Pab/Pa

16.

Two or more equation are equal if and only if they have the same

a)

solution set

b)

degree

c)

order

d)

variable set

17.

In any square matrix, when the elements of any two rows are exactly the same, the determinant is

a)

zero

b)

positive integer

c)

negative integer

d)

unity

18.

The ratio or product of two expressions in direct or inverse relation with each other is called

a)

ratio and proportion

b)

means

c)

extremes

d)

constant of variation

19.

Is a sequence of terms whose reciprocals form an arithmetic progression?

a)

geometric progression

b)

harmonic progression

c)

algebraic progression

d)

ratio and proportion

20.

An array m x n quantities which represent a single number system composed of elements in rows and columns is known as

a)

transposed matrix

b)

cofactor of a matrix

c)

matrix

d)

determinant

21.

Binary number system is a system of notation for real number that uses the place method with 2 as the base, what is another name of binary number system

a)

binary digits

b)

binumber system

c)

dyadic number system

d)

bits

22.

The number 0.123123123…. is a/an

a)

irrational number

b)

surd

c)

rational number

d)

transcendental

23.

MCMXCIV is the roman numeral equivalent to

a)

1974

b)

1984

c)

1994

d)

2994

24.

A sequence of numbers where the succeeding term is greater than the preceding term is called

a)

dissonant series

b)

convergent series

c)

divergent series

d)

isometric series

25.

Terms that differs only in numeric coefficients are known as

a)

unlike terms

b)

unequal terms

c)

like terms

d)

similar equations

26.

In complex algebra, we use diagram to represent complex plane commonly called

a)

Argand diagram

b)

Venn diagram

c)

Maxwell diagram

d)

Cartesian diagram

27.

7 + 0i is?

a)

an irrational number

b)

real number

c)

imaginary number

d)

a variable

28.

The number of successful outcomes divided by the number of possible outcomes is

a)

odd

b)

combination

c)

permutation

d)

probability

29.

If a two digit number has x for its unit digit and y for its tens digit, the number is represented as

a)

x + y

b)

y – x

c)

10y + x

d)

10x – y

30.

A statement of truth which is admitted without proof

a)

axiom

b)

theorem

c)

postulate

d)

corollary

31.

The part of theorem which is assumed to be true

a)

corollary

b)

hypothesis

c)

postulate

d)

conclusion

32.

A statement of truth which follows with little or no proof from the theorem

a)

corollary

b)

axiom

c)

postulate

d)

conclusion

33.

Refers to the construction of drawing of lines and figures the possibility of which is admitted without proof

a)

corollary

b)

theorem

c)

postulate

d)

hypothesis

34.

A mathematical statement which has neither been proved nor denied by counterexamples

a)

fallacy

b)

conjecture

c)

theorem

d)

paradox

35.

A proved proposition which is useful mainly as preliminary to the proof of a theorem

a)

lemma

b)

hypothesis

c)

postulate

d)

corollary

36.

Axioms are propositions of a general logical nature (about equal or unequal ) while ______ are propositions concerning objects and constructions.

a)

theorems

b)

corollaries

c)

conclusions

d)

postulates

37.

A ______ is an ancillary theorem whose results is not for the proof

a)

postulate

b)

lemma

c)

hypothesis

d)

conclusion

38.

Statements that are accepted without discussion or proof are called axioms. The word “axiom” comes from the Greek “axioma” which means

a)

worth

b)

correct

c)

true

d)

perfect

39.

In mathematical and other fields of logical reasoning, axioms are used as basis for the formulation of statements called

a)

lemma

b)

hypothesis

c)

postulate

d)

theorem

40.

“The product of two or more number is the same in whatever order they are multiplied “. This refers to

a)

Associative law of addition

b)

associative law of multiplication

c)

commutative law of multiplication

d)

distributive law of multiplication

41.

If a = b, then b can replace a in any equation. This illustrates what law of identity?

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

42.

If a = a , then it illustrates what law of identity?

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

43.

If a = b and b = c , then a = c this illustrates

a)

reflexive law

b)

law of symmetry

c)

transitive law

d)

substitution law

44.

The axiom which related addition and multiplication is the ______ law

a)

commutative

b)

associative

c)

distributive

d)

none of the above

45.

Any combination of symbols and numbers related by the fundamental operation of algebra is called a/an

a)

equation

b)

algebraic expression

c)

term

d)

algebraic sum

46.

The algebraic expression consisting of a sum of any number of terms is called a

a)

multinomial

b)

summation

c)

binomial

d)

monomial

47.

An equation which is satisfied by all values of the variables for which the members of equation defined is known as

a)

linear equation

b)

rational equation

c)

conditional equation

d)

irrational equation

48.

An equation in which some or all of the known quantities are represented by letters is called

a)

redundant equation

b)

literal equation

c)

linear equation

d)

irrational equation

49.

An equation in which the variable appear under the radical symbol

a)

irradical equation

b)

irrational equation

c)

quadratic equation

d)

linear equation

50.

An equation which, because of some mathematical process, has required an extra root is sometimes called as

a)

redundant equation

b)

literal equation

c)

linear equation

d)

defective equation

51.

Any equation which, because of some mathematical process, has fewer roots than its original is sometimes called as

a)

redundant equation

b)

literal equation

c)

linear equation

d)

defective equation

52.

An algebraic expression which can be represented as a quotient of two polynomials

a)

irrational algebraic equation

b)

reduced algebraic expression

c)

rational algebraic equation

d)

complex algebraic equation

53.

A statement containing one or more variables and having the property that it becomes either true or false when the variables are given specific values from their domains.

a)

solution

b)

problem

c)

open sentence

d)

worded problem

54.

Any algebraic term is a/an __________ term in certain representing numbers if it consists of the products of possible integral powers of these numbers and a factor not containing them.

a)

integral

b)

rational

c)

irrational

d)

integral rational

55.

An equation in x and y which is not easily solved for y in terms of x is called

a)

explicit

b)

implicit function

c)

discontinuity

d)

quadratic

56.

The number which are represented with letters.

a)

variables

b)

unknowns

c)

literal numbers

d)

terms

57.

Equations whose members are equal only for certain or possibly no value of the unknown.

a)

conditional equations

b)

inequalities

c)

unconditional equations

d)

temporary equations

58.

An algebraic expression consisting one term.

a)

monomial

b)

binomial

c)

linear

d)

monomode

59.

In algebra, this consists of products and quotients of ordinary numbers and letters which represent numbers.

a)

expression

b)

term

c)

equation

d)

coefficient

60.

An expression of two terms is called

a)

polynomial

b)

duomial

c)

binomial

d)

all of the above

61.

The degree of a polynomial or equation is the

a)

maximum exponent

b)

maximum sum of exponents

c)

exponent of the first variable

d)

maximum exponent of x

62.

What is the degree of the polynomial 3x4y + 2x3z3 – 4yz2 ?

a)

6th

b)

5th

c)

4th

d)

3rd

63.

Any fraction which contains one or more fractions in either numerator or denominator, or both is called

a)

compound fraction

b)

composite fraction

c)

complex fraction

d)

all of the above

64.

A common fraction with unity for numerator and a positive integer as denominator

(i.e. 1/n)

a)

ordinary fraction

b)

unit fraction

c)

common fraction

d)

improper fraction

65.

If the absolute value of the numerator of a fraction is smaller than the denominator, it is called

a)

proper fraction

b)

improper fraction

c)

Decimal fraction

d)

mixed number

66.

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

a)

proper fraction

b)

improper fraction

c)

Decimal fraction

d)

mixed number

67.

Considered as the “counting numbers”

a)

integers

b)

rational numbers

c)

irrational numbers

d)

natural numbers

68.

A number represented by a non-terminating, non-repeating decimal.

a)

irrational number

b)

rational number

c)

natural number

d)

integer

69.

The completeness axiom proved that the real number system has numbers other than

a)

integers

b)

rational numbers

c)

natural numbers

d)

irrational numbers

70.

The concept of spread of a random variable or a set of observations.

a)

variance

b)

standard deviation

c)

dispersion

d)

range

71.

A number containing a non-terminating but repeating decimal is a/an

a)

integer

b)

rational number

c)

natural number

d)

irrational number

72.

A positive integer which has no perfect-square factor greater than 1.

a)

radical expression

b)

square integer

c)

square integer

d)

square-free integer

73.

Numbers are used to describe a

a)

magnitude

b)

position

c)

magnitude and position

d)

none of the above

74.

Are symbols or combinations of symbols which describe a number.

a)

numerals

b)

digits

c)

terms

d)

notations

75.

Which of the following is not classified as an integer?

a)

negative numbers

b)

positive numbers

c)

zero

d)

imaginary numbers

76.

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

77.

The complex number is in the form of a + bi. If

a = 0, what do you call the resulting number?

a)

absolute value of the complex number

b)

pure imaginary number

c)

argument

d)

irrational number

78.

For a complex number a + bi, the real number   

 (a2+b2)\sqrt{(a^2+b^2)}  is __________ of the complex number.

a)

absolute value

b)

magnitude

c)

modulus

d)

all of the above

79.

The ________ of two complex number is found by multiplying each term of the one by every term of the other.

a)

sum

b)

difference

c)

product

d)

quotient

80.

A number which can be expressed as a quotient of two integers (division of zero is excluded) is called

a)

irrational number

b)

rational number

c)

imaginary number

d)

real number

81.

A prime number has exactly how many divisors?

a)

3

b)

1

c)

2

d)

4

82.

A prime number is an integer greater than 1 which has

a)

1 as its only positive divisor

b)

itself as only positive divisor

c)

1 and itself as its only positive divisors

d)

1 and its additive inverse as its only positive divisor

83.

An integer which is the product of two integers, both different from 1 and -1 is called

a)

prime number

b)

composite number

c)

rational number

d)

compound number

84.

A composite number has at least ____ divisors.

a)

1

b)

2

c)

3

d)

4

85.

Two natural numbers a and b are ________. If their greatest common divisor is one.

a)

relatively prime

b)

relatively composite

c)

equal

d)

reciprocal

86.

Number used to count the objects or ideas in a given collection.

a)

cardinal numbers

b)

irrational numbers

c)

ordinal numbers

d)

numerals

87.

Numbers which is used to state the position of individual objects in a sequence.

a)

cardinal numbers

b)

irrational numbers

c)

ordinal numbers

d)

numerals

88.

An integer number that is equal to the sum of all its possible divisors except the number itself is called

a)

amicable number

b)

perfect number

c)

defective number

d)

redundant number

89.

An integer the sum of all its possible divisors except the number itself is greater than the integer is called

a)

abundant number

b)

perfect number

c)

defective number

d)

amicable number

90.

An integer the sum of all its possible divisors except the number itself is less than the integer is called

a)

abundant number

b)

amicable number

c)

friendly number

d)

defective number

91.

What is the smallest perfect number possible?

a)

1

b)

6

c)

12

d)

8

92.

All perfect numbers are

a)

even numbers

b)

odd numbers

c)

prime numbers

d)

composite numbers

93.

Two integer numbers are said to be ____ if each is the sum of all possible divisors of the other.

a)

perfect numbers

b)

defective numbers

c)

amicable numbers

d)

Fermat’s numbers

94.

What is another name for amicable numbers?

a)

compatible numbers

b)

friendly numbers

c)

Fermats numbers

d)

Inconsistent numbers

95.

What is the smallest pair of friendly number?

a)

180 and 190

b)

200 and 120

c)

220 and 284

d)

220 and 264

96.

Prime numbers that appear in pair and differ by 2 (e.g. 3 and 5, 11 and 13 etc.) are called

a)

Mersenne primes

b)

prime number theorem

c)

twin primes

d)

pseudo primes

97.

“Every even integer greater than 2 can be written as the sum of two primes”. This is known as

a)

Fermat’s last theorem

b)

Goldbach conjecture

c)

Prime number theory

d)

Mersenne primes

98.

“Every positive integer greater than 1 is a prime or can be expresses as a unique product of primes and powers”. This is known as

a)

Fundamental theorem of arithmetic

b)

Pseudo prime theorem

c)

Prime number theorem

d)

Mersenne’s Theorem

99.

“Every sufficiently large off number can be expresses as a sum of three prime numbers” this is known as

a)

Goldbach conjecture

b)

Vinogradov’s theorem

c)

Pascal’s Law

d)

Mersenne’e theorem

100.

The term “ratio” comes from Latin verb “ratus” meaning

a)

to divide

b)

to estimate

c)

to get the mean

d)

to make a proportion