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

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Math Practice Test 3

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1 / 100

Category: Math Ch 4 Class 12

The point-slope form of the equation of straight line is

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

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

2 / 100

Category: Math Ch 13

3 / 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

4 / 100

Category: Math Ch 7

5 / 100

Category: Math Ch 12

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

Elevation

depression

incidence

reflects

6 / 100

Category: Math Ch 3

54. Transpose of a row matrix is:

Diagonal matrix

zero matrix

column matrix

scalar matrix

7 / 100

Category: Math Ch 5 Class 12

The symbols used for inequality are

8 / 100

Category: Math Ch 3

For any matrix A , it is always true that

? = ?^?

?^−1 = 1/A

|?| = |?^?|

– ? = ?̅

9 / 100

Category: Math Ch 2 Class 12

10 / 100

Category: Math

√3 is __________

Rational

Irrational

Integer

Prime

11 / 100

Category: Math Ch 9

Two rays with a common starting point form:

Triangle

Angle

Radian

Minute

12 / 100

Category: Math Ch 6 Class 12

For any parabola in the standard form , if the directrix is ? = ? , then its equation is

?2 = 4??

?2 = −4??

?2 = 4??

2 = −4?y

13 / 100

Category: Math Ch 3

The main diagonal elements of a skew symmetric matrix must be:

any non-zero number

any complex number

14 / 100

Category: Math Ch 5

(? + ?)(? + ?) = ?^? + ?? + ?? is a/an:

Conditional equation

an identity

proper rational fraction

a formula

15 / 100

Category: Math Ch 1 Class 12

. The graph of linear equation is always a

Straight line

parabola

circle

cube

16 / 100

Category: Math Ch 3

9. If a matrix A has same number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

17 / 100

Category: Math Ch 3

18 / 100

Category: Math Ch 6 Class 12

. Circle is the special case of :

Parabola

Hyperbola

Ellipse

None of these

19 / 100

Category: Math Ch 3

20 / 100

Category: Math Ch 6 Class 12

21 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

-1

None

22 / 100

Category: Math Ch 2 Class 12

23 / 100

Category: Math Ch 3

If a matrix of order ? × ? then the matrix of order ? × ? is :

Transpose of A

Inverse of A

Main diagonal of A

Adjoint of A

24 / 100

Category: Math Ch 3

The horizontal lines of numbers in a matrix are called:

Columns

Rows

Column matrix

Row matrix

25 / 100

Category: Math Ch 6

A sequence is function whose domain is

26 / 100

Category: Math Ch 3 Class 12

27 / 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

28 / 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

29 / 100

Category: Math Ch 13

30 / 100

Category: Math Ch 3 Class 12

?? ? > 0 ??? ? ≠ 1 ?ℎ?? , ∫ ?^??? =

?^ ? + ?

?^ ? ??? + ?

?^ ? /??? + ?

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

31 / 100

Category: Math Ch 4

The complex fourth roots of unity are ……. of each other.

Additive inverse

equal to

square of

None of these

32 / 100

Category: Math Ch 4 Class 12

Every homogeneous equation of 2nd degree in two variables represents

A line

two lines

two line through origin

family of lines

33 / 100

Category: Math Ch 6

34 / 100

Category: Math Ch 3

35 / 100

Category: Math Ch 1 Class 12

36 / 100

Category: Math Ch 3 Class 12

37 / 100

Category: Math Ch 10

38 / 100

Category: Math Ch 4

10. Product of cube roots of -1 is:

-1

None

39 / 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

40 / 100

Category: Math

Every recurring decimal is

a rational number

an irrational number

a prime number

a whole number

41 / 100

Category: Math Ch 4

9. Sum of all cube roots of 64 is :

-64

42 / 100

Category: Math Ch 2 Class 12

43 / 100

Category: Math Ch 5 Class 12

44 / 100

Category: Math Ch 3 Class 12

45 / 100

Category: Math Ch 12

To solve an oblique triangles when measure of three sides are given , we can use:

Hero’s formula

Law of cosine

Law of sine

Law of tangents

46 / 100

Category: Math Ch 4

The equations involving redical expressions of the variable are called:

Reciprocal equations

Redical equations

Quadratic functions

exponential equations

47 / 100

Category: Math Ch 7

48 / 100

Category: Math Ch 6

An infinite geometric series is convergent if

|?| > 1

|?| = 1

|?| ≥ 1

|?| < 1

49 / 100

Category: Math Ch 2 Class 12

50 / 100

Category: Math Ch 1 Class 12

51 / 100

Category: Math Ch 3 Class 12

52 / 100

Category: Math Ch 3 Class 12

53 / 100

Category: Math

The number of all subsets of a set having three elements is:

54 / 100

Category: Math Ch 3

10. If a matrix A has different number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

55 / 100

Category: Math Ch 3 Class 12

56 / 100

Category: Math Ch 1 Class 12

57 / 100

Category: Math Ch 12

A triangle which is not right is called:

Oblique triangle

Isosceles triangle

Scalene triangle

Right isosceles triangle

58 / 100

Category: Math Ch 2 Class 12

59 / 100

Category: Math Ch 2

A set is a collection of objects which are

Well defined

Well defined and distinct

identical

not defined

60 / 100

Category: Math Ch 12

The circle passing through the thee vertices of a triangle is called:

Circum circle

in-circle

ex-centre

escribed circle

61 / 100

Category: Math Ch 3

62 / 100

Category: Math Ch 3

63 / 100

Category: Math Ch 3

8. If a matrix A has only one column then it is called:

Row vector

Column vector

square matrix

Rectangle matrix

64 / 100

Category: Math Ch 2 Class 12

65 / 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

66 / 100

Category: Math Ch 12

67 / 100

Category: Math Ch 5

Which is a reducible factor:

?^3 − 6?^2 + 8?

?^2 + 16?

?^2 + 5? − 6

all of these

68 / 100

Category: Math Ch 3

11. For the square matrix ? = [???]?×? then ???, ???, ???…??? are:

Main diagonal

primary diagonal

proceding diagonal

secondary diagonal

69 / 100

Category: Math Ch 7 Class 12

70 / 100

Category: Math Ch 10

71 / 100

Category: Math Ch 4

7. The equations involving redical expressions of the variable are called:

Reciprocal equations

Redical equations

Quadratic functions

exponential equations

72 / 100

Category: Math Ch 3 Class 12

73 / 100

Category: Math Ch 12

74 / 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

75 / 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

76 / 100

Category: Math

A diagram which represents a set is called______

Venn’s

Argand

Plane

None

77 / 100

Category: Math Ch 6

78 / 100

Category: Math Ch 9

The angle subtended at the center of a circle by an arc whose length is equal to the radius of
the circle is called:

1 Degree

1’

1 Radian

1’’

79 / 100

Category: Math Ch 14

80 / 100

Category: Math Ch 6 Class 12

81 / 100

Category: Math Ch 3

If a matrix A has different number of rows and columns then A is called:

Row vector

Column vector

square matrix

Rectangular matrix

82 / 100

Category: Math Ch 3

If the system of linear equations have no solution at all, then it is called a/an

Consistent system

Inconsistent system

Trivial System

Non Trivial System

83 / 100

Category: Math Ch 5 Class 12

A linear inequality contains at least _________ variables.

One

two

three

more than three

84 / 100

Category: Math Ch 13

85 / 100

Category: Math Ch 9

86 / 100

Category: Math Ch 12

87 / 100

Category: Math Ch 13

88 / 100

Category: Math Ch 4 Class 12

Let ?(?? , ??) not lying on the line ?: ?? + ?? + ? = ? then point P lies above if

?1? + ?1? + ?1 = 0

?1? + ?1? + ?1 ≠ 0

?1? + ?1? + ?1 < 0

?1? + ?1? + ?1 > 0

89 / 100

Category: Math Ch 9

The angle subtended at the center of a circle by an arc whose length is equal to the radius of
the circle is called:

1 Degree

1’

1 Radian

1’’

90 / 100

Category: Math Ch 4

91 / 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

92 / 100

Category: Math Ch 14

93 / 100

Category: Math Ch 13

94 / 100

Category: Math Ch 6 Class 12

Focus of the ellipse always lies on the

Minor axis

Major axi

Directrix

None of these

95 / 100

Category: Math Ch 1 Class 12

The term “Function” was recognized by______ to describe the dependence of one quantity
to another.

Lebnitz

Euler

Newton

Lagrange

96 / 100

Category: Math Ch 5 Class 12

The symbols used for inequality are

97 / 100

Category: Math Ch 4

The complex fourth roots of unity are ……. of each other.

Additive inverse

equal to

square of

None of these

98 / 100

Category: Math Ch 3 Class 12

∫ ?^?(?). ?′(?)?? =

???(?) + ?

?^?(?) + ?

???′(?) + ?

?^?(?) + c

99 / 100

Category: Math Ch 6 Class 12

100 / 100

Category: Math Ch 3

6. A matrix A is called real if all ??? are

Real numbers

complex numbers

Your score is

The average score is 54%

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