Mathematics Practice Tests 3 - PLS Academy

Mathematics Practice Tests Overview

Mathematics Practice Tests are an important part of preparation for MDCAT, ECAT, NUST, UET, FAST, NTS, and FSC board exams. They cover key topics such as algebra, trigonometry, calculus, arithmetic, and geometry. Regular practice helps students develop strong problem-solving skills, understand concepts deeply, and gain confidence in solving exam-style questions.

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Created by Ali Durrani

NET Practice

Math Practice Test 3

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1 / 100

Category: Math Ch 7

Let ? = {?, ?, ?, … , ??} the probability that a number is divided by 4 is :

2/5

1/5

1/10

1/2

2 / 100

Category: Math Ch 7

3 / 100

Category: Math Ch 7 Class 12

4 / 100

Category: Math Ch 14

12. General solution of every trigonometric equation consists of :

One solution only

two solutions

infinitely many solutions

no real solution

5 / 100

Category: Math Ch 3 Class 12

6 / 100

Category: Math Ch 3

. The multiplicative inverse of a matrix exist only if it is:

Singular

non singular

null matrix

any matrix of order ? ×n

7 / 100

Category: Math Ch 14

For the general solution , we first find the solution in the interval whose length is equal to
its:

Range

domain

co-domain

period

8 / 100

Category: Math Ch 4 Class 12

The point where the angle bisectors of a triangle intersect is called_________ of the triangle.

Centroid

in centre (

orthocenter

circumference

9 / 100

Category: Math Ch 7 Class 12

A point P in space has __________ coordinates.

infinitely many

10 / 100

Category: Math Ch 7 Class 12

11 / 100

Category: Math Ch 13

12 / 100

Category: Math Ch 3

The number of non zero rows in echelon form of a matrix is called:

Order of matrix

Rank of matrix

leading

leading row

13 / 100

Category: Math Ch 3

For any two matrices A and B ,(? + ?)^? =

?^?.?^?

?^? + ?^?

?^? + ?^t

14 / 100

Category: Math Ch 7

15 / 100

Category: Math Ch 7

A coin is tossed 5 times , then ?(?) is equal to:

16 / 100

Category: Math Ch 5

A mixed form of fraction is :

An integer+ improper fraction

a polynomial+improper fraction

a polynomial+proper fraction

a polynomial+rational fraction

17 / 100

Category: Math Ch 4 Class 12

The point where the altitudes of a triangle intersect is called_________ of the triangle.

Centroid

centre

orthocenter

circumference

18 / 100

Category: Math Ch 4 Class 12

19 / 100

Category: Math Ch 7 Class 12

If any two vectors of scalar triple product are equal, then its value is equal to

-1

20 / 100

Category: Math Ch 2

The graph of linear function is :

Circle

straight line

parabola

triangle

21 / 100

Category: Math Ch 11

22 / 100

Category: Math Ch 6 Class 12

In the cases of ellipse it is always true that:

?2 > ?2

?2 < ?2

?2 = ?2

? < 0, ? < 0

23 / 100

Category: Math Ch 10

24 / 100

Category: Math Ch 5 Class 12

The feasible solution which maximizes or minimizes the objective function is called

Exact solution

optimal solution

final solution

objective function

25 / 100

Category: Math Ch 3

53. The inverse of unit matrix is:

Unit

Singular

Skew Symmetri

rectangular

26 / 100

Category: Math Ch 4 Class 12

27 / 100

Category: Math Ch 6 Class 12

28 / 100

Category: Math Ch 6 Class 12

The set of points which are equal distance from a fixed point is called:

Circle

Parabola

Ellipse

Hyperbola

29 / 100

Category: Math

Squaring a number is a:

Unary operation

binary operation

relation

Function

30 / 100

Category: Math Ch 4 Class 12

31 / 100

Category: Math Ch 5 Class 12

Solution space consisting of all feasible solutions of system of linear in inequalities is called

Feasible solution

Optimal solution

Feasible region

General solution

32 / 100

Category: Math Ch 9

1° is equal to

360′′

3600′′

( 1 /360 )′

60′′

33 / 100

Category: Math Ch 7

If an event always occurs , then it is called:

Null Event

Possible Event

Certain event

Independent Event

34 / 100

Category: Math Ch 2

If ? ⊆ ? then ?(? ∩ ?) =

?(?)

?(?) + ?(?)

?(?). ?(?)

35 / 100

Category: Math Ch 13

36 / 100

Category: Math Ch 4

Graph of quadratic equation is:

Straight line

Circle

square

Parabola

37 / 100

Category: Math Ch 14

38 / 100

Category: Math Ch 5 Class 12

The number of variables in ?? + ?? ≤ ? are

39 / 100

Category: Math Ch 10

40 / 100

Category: Math Ch 3 Class 12

?? ? > 0 ??? ? ≠ 1 ?ℎ?? , ∫ ?^??? =

?^ ? + ?

?^ ? ??? + ?

?^ ? /??? + ?

?^ (?+1) /?+1 + ?

41 / 100

Category: Math Ch 4

If product of all cube roots of unity is equal to ?^? + ? , then ? is equal to:

−1

±?

42 / 100

Category: Math

The graph of linear function is :

Circle

straight line

parabola

triangle

43 / 100

Category: Math Ch 3

. The additive inverse of a matrix exist only if it is:

Singular

non singular

null matrix

any matrix of order ? × n

44 / 100

Category: Math

A compound proposition which is always wrong is called:

Tautology

contradiction

absurdity

contingency

45 / 100

Category: Math

Q.99 Correct form of ohm’s law

A. I=VR

B. V a I

C. V=IR

D. Both B and C

46 / 100

Category: Math Ch 14

47 / 100

Category: Math Ch 7 Class 12

48 / 100

Category: Math Ch 2

A diagram which represents a set is called______

Venn’s

Argand

Plane

None

49 / 100

Category: Math Ch 2

Which of the following is true:

? ⊂ ?

all of these

50 / 100

Category: Math Ch 2 Class 12

51 / 100

Category: Math Ch 5 Class 12

The point where two boundary lines of a shaded region intersect is called _____ point.

Boundary

corner

stationary

feasible

52 / 100

Category: Math Ch 2

Inverse of any element of a group is:

Not unique

unique

has many inverses

none of these

53 / 100

Category: Math Ch 2

Identity element in (?, . ) is:

(0,0)

(0,1)

(1,0)

(1,1)

54 / 100

Category: Math

Which of the following is not a binary operation :

√

–

55 / 100

Category: Math Ch 11

56 / 100

Category: Math Ch 5 Class 12

Solution space consisting of all feasible solutions of system of linear in inequalities is called

Feasible solution

Optimal solution

Feasible region

General solution

57 / 100

Category: Math Ch 7 Class 12

The lines joining the mid-points of any two sides of a triangle is always _____to the third side.

Equal

Parallel

perpendicular

base

58 / 100

Category: Math Ch 12

When we look an object below the horizontal ray, the angle formed is called angle of:

Elevation

depression

incidence

reflects

59 / 100

Category: Math Ch 13

60 / 100

Category: Math Ch 7

61 / 100

Category: Math Ch 2 Class 12

62 / 100

Category: Math Ch 4 Class 12

If all the sides of four sided polygon are equal but the four angles are not equal to ??° each
then it is a

Kite

rhombus

||gram

trapezoid

63 / 100

Category: Math Ch 6 Class 12

The circle whose radius is zero is called:

Unit circle

point circle

circumcircle

in-circle

64 / 100

Category: Math Ch 7

. The number of ways for sitting 4 persons in a train on a straight sofa is:

None of these.

65 / 100

Category: Math Ch 1 Class 12

66 / 100

Category: Math Ch 12

67 / 100

Category: Math Ch 3 Class 12

68 / 100

Category: Math Ch 14

69 / 100

Category: Math Ch 6

An arrangement of numbers according to some definite rule is called:

Sequence

Combination

Series

Permutation

70 / 100

Category: Math Ch 13

71 / 100

Category: Math Ch 7 Class 12

The angles ?, ?, ??? ? which a non-zero vector ? makes with ? − ????, ? − ???? and
? − ???? respectively are called_____________ of ?.

Direction cosines

direction ratios

direction angles

inclinations

72 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

73 / 100

Category: Math Ch 3 Class 12

74 / 100

Category: Math Ch 3

13. For a square matrix ? = [???]if all ??? = ?, ? ≠ ? and at least ??? ≠ ?, ? = ? then A is called:

Diagonal matrix

Scalar Matrix

None

Null matrix

75 / 100

Category: Math Ch 6 Class 12

The angle inscribed in semi-circle is:

?/2

?/3

?/4

None of these

76 / 100

Category: Math Ch 7

16. Four persons wants to sit in a circular sofa, the total ways are:

None of thes

77 / 100

Category: Math Ch 14

78 / 100

Category: Math Ch 2 Class 12

79 / 100

Category: Math Ch 9

Straight line angle is equal to

1/2 ????????

? radian

180°

All of these

80 / 100

Category: Math Ch 4 Class 12

The Normal form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

81 / 100

Category: Math Ch 4 Class 12

The two intercepts form of the equation of the straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

????? + ????? = p

82 / 100

Category: Math Ch 12

7. Which can be reduced to Pythagoras theorem,

Law of sine

law of cosine

law of tangents

Half angle formulas

83 / 100

Category: Math Ch 4 Class 12

84 / 100

Category: Math Ch 5

When a rational fraction is separated into partial fractions, then result is always :

A conditional equations

an identity

a partial fraction

an improper fraction

85 / 100

Category: Math Ch 5

An open sentence formed by using sign of “ = ” is called a/an

Equation

Formula

Rational fraction

Theorem

86 / 100

Category: Math Ch 7 Class 12

87 / 100

Category: Math Ch 6 Class 12

The line perpendicular to the tangent at any point ?(?, ?) is known as;

Tangent line

Normal at ?

Slope of tangent

None of these

88 / 100

Category: Math Ch 4 Class 12

The straight line which passes through one vertex and though the mid-point of the opposite
side is called:

Median

altitude

perpendicular bisector

normal

89 / 100

Category: Math Ch 7 Class 12

90 / 100

Category: Math Ch 6 Class 12

91 / 100

Category: Math Ch 4

92 / 100

Category: Math Ch 8

93 / 100

Category: Math

The product of two conjugate complex numbers is

A real number

an imaginary number

may be an irrational number

not defined

94 / 100

Category: Math Ch 9

0°, 90°, 180°, 270° and 360° are called

Coterminal angle

Quadrantal angl

Allied angle

None of these

95 / 100

Category: Math Ch 1 Class 12

96 / 100

Category: Math Ch 7 Class 12

. If the dot product of two vectors is zero, then the vectors must be

Parallel

orthogonal

reciprocal

equal

97 / 100

Category: Math Ch 12

98 / 100

Category: Math Ch 3 Class 12

To determine the area under the curve by the use of integration , the idea was given by

Newton

Archimedes

Leibnitz

Taylor

99 / 100

Category: Math Ch 1 Class 12

100 / 100

Category: Math Ch 6 Class 12

The chord containing the centre of the circle is

Radius of circle

Diameter of circle

Area of circle

Tangent of circle

Your score is

The average score is 54%

Importance of Practicing Mathematics Tests

Practicing Mathematics tests consistently improves speed, accuracy, and time management. Topic-wise and full-length tests allow students to identify weak areas, revise formulas, and reduce mistakes. Timed practice also prepares students to perform effectively under exam pressure.

PLS Academy Mathematics Test Preparation

PLS Academy provides well-structured Mathematics Practice Tests with exam-focused MCQs, clear solutions, and full syllabus coverage. With expert guidance and quality practice material, PLS Academy helps students strengthen their mathematical foundation and achieve high scores in entry tests and FSC board exams.

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