Free Printable MATHEMATICS

1.

When f''(x) is negative, the curve of y = f(x) is concave ?

a)

downward

b)

upward

c)

to the right

d)

to the left

2.

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

a)

Base

b)

Logarithm

c)

Exponent

d)

Characterisitics

3.

A sequence of numbers or quantities in which there is always the same relation between each quantity and the one succeeding it

a)

Progression

b)

Natural Progression

c)

Common Progression

d)

Joint Progression

4.

A progression formed by taking the reciprocals of the terms of progression

a)

Arithmetic Progression

b)

Inverse Arithmetic Progression

c)

Harmonic Progression

d)

Joint Progression

5.

This refers to a sequence of numbers such that the difference between the consecutive terms is constant

a)

Arithmetic Progression

b)

Natural Progression

c)

Common Progression

d)

Joint Progression

6.

A quantity that is a function of the coefficients of the quadratic equations and gives information about the nature of the roots of that quadratic equation; D = B - 4AC

a)

Variation

b)

Discriminants

c)

Common Logarithm

d)

Propotion

7.

A function that relates the values of one variable to those of other variables

a)

Variation

b)

Discriminants

c)

Common Logarithm

d)

Propotion

8.

Logarithm to the base e (also called as Napierian Logarithm)

a)

Natural Logarithm

b)

Logarithm

c)

Common Logarithm

d)

Existence Logarithm

9.

In the equation $y'+P\left(x\right)y=R\left(x\right)y^{\alpha,\ if\ \alpha}=1,\$ the equation is____

a)

Separable

b)

Elliptic

c)

Hyperbolic

d)

Linear

10.

A mathematical expression indicating a root by means of a radical sign

a)

Radical

b)

Exponent

c)

Logarithm

d)

Base

11.

An expression build up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication, and division and exponentiation by an exponent that is a rational number)

a)

Algebra

b)

Algebraic Expression

c)

Mean Value Theorem

d)

Linear

12.

The fractional part (decimal) part of the logarithm of a certain number

a)

Characteristics

b)

Mantissa

c)

Base

d)

Logarithmic

13.

A branch of mathematics in which symbols, usually letters of the alphabet, represent number or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set

a)

Algebra

b)

Derivatives

c)

Roman Numerals

d)

Solid Geometry

14.

What theorem enables you to find the power of a complex number expressed in polar form and to derive certain identities using complex numbers in polar form?

a)

Recursion Theorem

b)

De Moivre's Theorem

c)

Hayes' Theorem

d)

Argand's Theorem

15.

Which of the following refers to quadrilateral with opposite sides are parallel and each pair of opposite sides and angles is congruent?

a)

Parallelogram

b)

Kite

c)

Dart

d)

Trapezoid

16.

In the Divergence Theorem, the vector field's divergence is integrated over which domain?

a)

The surface enclosing the volume

b)

The boundary curve

c)

The volume inside the surface

d)

The tangent plane at a point

17.

Which theorem is typically used to convert a double integral over a region in the plane into a line integral around its boundary?

a)

Green's Theorem

b)

Divergence Theorem

c)

Clauchy's Integral Theorem

d)

Stokes' Theorem

18.

Green's Theorem is considered a special case of which broader theorem?

a)

Gauss' Law

b)

Fundamental Theorem of Algebra

c)

Divergence Theorem

d)

Stoke's Theorem

19.

Stoke's Theorem converts a surface integral of the curl of a vector field into what?

a)

A double integral over the region

b)

A volume integral of divergence

c)

A line integral around the boundary curve

d)

A scalar integral of magnitude

20.

Which theorem relates the flux of a vector field through a closed surface to the divergence of the field inside the volume?

a)

Stoke's Theorem

b)

Fundamental Theorem of Calculus

c)

Divergence Theorem

d)

Green's Theorem

21.

Given f a continuous function on the interval (a,b) such that f(a) is not equal to f(b). The concept that states that for every number c between f(a) and f(b), there exists a number x between a and b such that f(x) = c is known as the

a)

Intermediate Value Theorem

b)

Limit Point Theorem

c)

Mean Value Theorem

d)

Fixed Point Theorem

22.

Which of the following refers to an angle having a measure greater than 90 degrees but less than 180 degrees

a)

Obtuse Angle

b)

Reflex Angle

c)

Acute Angle

d)

Right Angle

23.

A sequence of experiments in which each experiment ha s finite number of outcomes with given probabilities is called:

a)

Stochastic Process

b)

Counting Principles

c)

Discrete Process

d)

Sequential

24.

Which of the following characterizes the roots of the equation $6x^2-5x-6=0$

a)

Roots are rational and unequal

b)

Roots are rational and equal

c)

Roots are imaginary and unequal

d)

Roots are irrational and equal

25.

Regression analysis makes use of the relationship between two or more quantitative variables so that one variable, called the dependent variable or response variable, which can be predicted with the knowledge of the values of the other variable, the other variable is called the

a)

Independent Variable

b)

Unwanted Variable

c)

Moderating Variable

d)

Expose Variable

26.

Which of the following characteristics the roots of the equation $3x^2-8x+9=0$ ?

a)

Roots are rational and equal

b)

Roots are imaginary and unequal

c)

Roots are imaginary and equal

d)

One imaginary and one real roots

27.

If the sum of the measures of the two angles is equal to 180 degrees, then the two angles are :

a)

Complementary

b)

Interior

c)

Supplementary

d)

Adjacent

28.

The cross correlation of two real finite energy sequences x[n] and y[n] is given as

a)

$r_{xy}\left(l\right)=\sum_{n=-\infty}^{\infty}x\left[n\right]y\left[n-l\right],\ where\ l=0,\pm1,\pm2,...$

b)

$r_{xy}\left(l\right)=\sum_{n=0}^{\infty}x\left[n\right]y\left[n-l\right],\ where\ l=0,\pm1,\pm2,...$

c)

positive infinity as n = 1

d)

None of the mentioned

29.

Which of the following statements describes the sequence $a_{n\ }=\ \sin\ \left(\frac{n\pi}{6}\right)?$

a)

The sequence of converges to a number less than 1

b)

The Sequence is monotonic

c)

The sequence is bounded

d)

The sequence is unbounded

30.

Which of the following refers to a 3-demensional figure having a polygon as its base and triangles for the rest of its faces, meeting at a point?

a)

Triangle

b)

Pyramid

c)

Prism

d)

Cone

31.

Which of the following is the iterative method in solving systems of linear algebraic equations?

a)

Doolittle LU Factorization

b)

Matrix Inverse Method

c)

Successive-Order Relaxation

d)

Gauss-Jordan Elimination

32.

Which of the following is an INCORRECT statement?

a)

The probability that a student will not pass the midterms examination is 0.15, and the probability that he will pass the examination is 5 times as large

b)

The probabilities that a student will spend an evening studying or watching television are, 0.22 and 0.48, respectively and the probability that it will be one or the other is 0.70

c)

Since Janelle studied her lesson, the probability that she will pass the exam is 0.90

d)

The probability that a mineral specimen will contain copper is 0.30 and the probability that it will not contain copper is 0.70

33.

A square matrix in which all of the elements are NOT on the major diagonal and the two diagonals surrounding the major diagonal are zero is known as ___

a)

Symmetric Matrix

b)

Diagonal Matrix

c)

Tridiagonal Matrix

d)

Diagonally Dominant Matrix

34.

Denote $\delta u$ be the partial derivative of a function u. Given the linear second-order partial differential equation.

$A\left(\frac{\delta^2u}{\delta x^2}\right)+B\left(\frac{\delta^2u}{\delta x\delta y}\right)+C\left(\frac{\delta^2u}{\delta y^2}\right)+D\left(\frac{\delta u}{\delta x}\right)+E\left(\frac{\delta u}{\delta y}\right)+Fu\ =0$

Where A, B, C, D, E and F are real constants. If $B^2-4AC=0$ , the above equation is

a)

Asymptotic

b)

Hyperbolic

c)

Parabolic

d)

Elliptic

35.

A curve traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is at a distance d from the center of the interior circle is called

a)

Hypotrochoid

b)

Epitrochoid

c)

Hypocycloid

d)

Epicycloid

36.

Which of the following situations is not possible for a given population?

a)

The mean is positive and the standard deviation is negative

b)

The mean and the standard deviation are both positive

c)

The mean and the standard deviation are both zero

d)

The mean is negative and the standard deviation is positive

37.

Which of the following describes the two angles having the same measure?

a)

Adjacent Angles

b)

Coterminal Angles

c)

Acute Angles

d)

Congruent Angles

38.

Let G be a graph. If all the vertices of G are pairwise adjacent then the graph is:

a)

Independent

b)

Complete

c)

Dependent

d)

Closed

39.

Let A and B independent events. Which of the following statements is CORRECT?
Notation: A' and B' are complements of events A and B respectively,

a)

A' and B' are independent events

b)

A' and B' are dependent events

c)

A' is dependent only to B'

d)

B' is dependent only to A'

40.

The graph of the pair of parametric equations x = sin t -2 and y = cos^2 t is part of ___

a)

A parabola

b)

A hyperbola

c)

A Circle

d)

A Line

41.

A function of F(x) is called _____ of f(x) if F'(x) = f(x)

a)

Derivative

b)

Integral

c)

Implicit Function

d)

Antiderivative

42.

The altitude of a cylinder of maximum volume which can be inscribed in right circular cone of radius R and height H is:

a)

H/3

b)

H/9

c)

H/6

d)

H/2

43.

Given a cone diameter d and altitude of H. What percent is the volume of the largest cylinder which can be inscribed in the cone to the volume of the cone?

a)

2/5

b)

4/9

c)

3/7

d)

5/9

44.

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

a)

A sinusoid

b)

A paraboloid

c)

A cissoid

d)

an exponentional

45.

Equations relating x and y that cannot readily be solved explicitly for y as a function of x or for x as a function of y. Such equation may nonetheless deter mine y as a function of x or vice versa. Such a function is called ?

a)

Logarithmic Function

b)

Implicit Function

c)

Explicit Function

d)

Discrete Function

46.

If the first derivative of a function is a constant, the the function is ____

a)

Sinusoidal

b)

Logarithmic

c)

Quadratic

d)

Linear

47.

At maximum point, the value of y'' is:

a)

Zero

b)

Infinite

c)

Positve

d)

Negative

48.

A square matrix in which diagonal elements are equal is called ___ matrix

a)

Scalar

b)

Symmetric

c)

Sinusoidal

d)

Continuous

49.

What is the absolute value of the complex number 3 + 4i?

a)

3

b)

4

c)

67

d)

5

50.

Which of the following is considered a pure imaginary numbe?

a)

3i

b)

4+3i

c)

3

d)

4

51.

What is definite integral?

a)

An integral evaluated between two limits

b)

An integral evaluated between a limit and a function

c)

It is a function of a definite integral

d)

None of the above

52.

The integral of any quotient whose numerator is the differential of the denominator is the ___

a)

Logarithmic

b)

Derivative

c)

Integration

d)

Antidifferentiation

53.

Integral that have integrands become infinite in the range of a finite interval of integration are called ____

a)

Improper Integrals

b)

Proper Integral

c)

Conjugate Integrals

d)

Continuous Integrals

54.

The integral of cos x with respect to x is:

a)

Sin x + C

b)

Csc x + C

c)

-Cos x + C

d)

Sin x + Cos x + C

55.

Let G be a graph. If all the vertices of G are pairwise adjacent then the graph is ___

a)

Complete

b)

Independent

c)

Dependent

d)

Closed

56.

A curve traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is at a distance d from the center of the interior circle is called

a)

Hypotrochoid

b)

Epitrochoid

c)

Hypocyloid

d)

Epicycloid

57.

A well defined list or collection of objects is called

a)

Set

b)

Order

c)

Memo

d)

Elements

58.

A set in one-to-one correspondence with the nonnegative integers is called

a)

Cantor Set

b)

Infinite Set

c)

Denumerable Set

d)

Power Set

59.

This refers to the hypothesis we doubt to be true?

a)

Type I Hypothesis

b)

Alternative Hypothesis

c)

Type II Hypothesis

d)

Null Hypothesis

60.

A square matrix in which all of the elements NOT on major diagonal and the two diagonals surrounding the major diagonal are zero is known as ___

a)

Symmetric Matrix

b)

Diagonal Matrix

c)

Tridiagonal Matrix

d)

Diagonally Dominant Matrix

MATHEMATICS

Total questions: 60

Worksheet time: 32mins

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