Mathematics Practice Tests 4 - PLS Academy

Mathematics Practice Tests Overview

Mathematics Practice Tests are a crucial part of preparing for MDCAT, ECAT, NUST, UET, FAST, NTS, and FSC board exams. These tests cover essential topics like algebra, trigonometry, calculus, arithmetic, and geometry. Regular practice helps students enhance problem-solving skills, strengthen conceptual understanding, and build confidence in tackling exam-style questions.

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Created by Ali Durrani

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Math Practice Test 4

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1 / 100

Category: Math Ch 9

If the rotation of the angle is counter clock wise, then angle is:

Negative

Positive

Non-Negative

None of these

2 / 100

Category: Math Ch 7 Class 12

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

-1

3 / 100

Category: Math Ch 7

4 / 100

Category: Math Ch 8

5 / 100

Category: Math Ch 13

6 / 100

Category: Math Ch 4

The sum of all four fourth roots of unity is:

Unity

-1

None

7 / 100

Category: Math Ch 3 Class 12

8 / 100

Category: Math Ch 3

If a matrix A has only one row then it is called:

Row vector

Column vector

square matrix

Rectangle matrix

9 / 100

Category: Math Ch 13

10 / 100

Category: Math Ch 6 Class 12

The ratio of the distance of a point from the focus to distance from the directrix is denoted by

11 / 100

Category: Math Ch 5 Class 12

The graph of a linear equation of the form ?? + ?? = ? is a line which divides the whole
plane into ______ disjoints parts.

Two

four

more than four

infinitely many

12 / 100

Category: Math Ch 4 Class 12

13 / 100

Category: Math Ch 4

Basic techniques for solving quadratic equations are

14 / 100

Category: Math Ch 7 Class 12

15 / 100

Category: Math

. Truth set of a tautology is

Universal set

True

False

16 / 100

Category: Math Ch 1 Class 12

17 / 100

Category: Math Ch 11

18 / 100

Category: Math Ch 6

19 / 100

Category: Math Ch 4 Class 12

The straight line which passes through one vertex and perpendicular to opposite side is
called:

Median

altitude

perpendicular bisector

normal

20 / 100

Category: Math Ch 14

21 / 100

Category: Math Ch 9

22 / 100

Category: Math Ch 7 Class 12

The vector whose initial point is at the origin and terminal point is ? , is called

Null vector

unit vector

position vector

normal vector

23 / 100

Category: Math Ch 6 Class 12

. Circle is the special case of :

Parabola

Hyperbola

Ellipse

None of these

24 / 100

Category: Math Ch 1 Class 12

25 / 100

Category: Math Ch 8

26 / 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

27 / 100

Category: Math Ch 7 Class 12

The angle in semi-circle is equal to:

?/2

?/3

28 / 100

Category: Math Ch 7 Class 12

29 / 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

30 / 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

31 / 100

Category: Math Ch 3

Which of the property does not hold matrix multiplication?

Associative

Commutative

Closure

Inverse

32 / 100

Category: Math Ch 2 Class 12

33 / 100

Category: Math Ch 4 Class 12

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

? = ?? + ?

? − ?1 = ?(? − ?1)

?/?+?/?= 1

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

34 / 100

Category: Math Ch 4 Class 12

A line bisecting 2nd and 4th quadrants has inclination:

0°

45°

135°

∞

35 / 100

Category: Math Ch 7 Class 12

Parallelogram law of vector addition to describe the combined action of two forces, was used
by

Cauchy

Aristotle

Alkhwarzmi

Leibnitz

36 / 100

Category: Logical Reasoning – Logical problems

Answer on passage:

The high school math department needs to appoint a new chairperson, which will be based on seniority. Ms. West has less seniority than Mr. Temple, but more than Ms. Brody. Mr. Rhodes has more seniority than Ms. West, but less than Mr. Temple. Mr. Temple doesn’t want the job. Who will be the new math department chairperson?

PreMedPK MDCAT Mock 5
Logical Reasoning
Logical Problems
Passage
Elimination Tool:

A) Mr. Rhodes

B) Mr. Temple

C) Mr. West

D) Mr. Brody

37 / 100

Category: Math Ch 7 Class 12

. If the scalar product of three vectors is zero, then vectors are

Collinear

coplanar

non coplanar

non-collinear

38 / 100

Category: Math Ch 12

39 / 100

Category: Math Ch 7 Class 12

40 / 100

Category: Math Ch 5 Class 12

A linear inequality contains at least _________ variables.

One

two

three

more than three

41 / 100

Category: Math Ch 4 Class 12

42 / 100

Category: Math Ch 6

43 / 100

Category: Math Ch 9

1° is equal to

360′′

3600′′

( 1 /360 )′

60′′

44 / 100

Category: Math Ch 5 Class 12

45 / 100

Category: Math Ch 2 Class 12

46 / 100

Category: Math Ch 1 Class 12

If a graph express a function , then a vertical line must cut the graph at

One point only

Two points

More than one point

No point

47 / 100

Category: Math Ch 5

48 / 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

49 / 100

Category: Math

The product of two conjugate complex numbers is

A real number

an imaginary number

may be an irrational number

not defined

50 / 100

Category: Math Ch 13

51 / 100

Category: Math Ch 10

52 / 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

53 / 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

54 / 100

Category: Math Ch 6 Class 12

The locus of a revolving line with one end fixed and other end on the circumference of a circle
of a circle is called:

a sphere

a circle

a cone

a conic

55 / 100

Category: Math Ch 12

56 / 100

Category: Math

The additive identity in set of complex number is

(0,0)

(0,1)

(1,0)

(1,1)

57 / 100

Category: Math Ch 3 Class 12

58 / 100

Category: Math Ch 1 Class 12

59 / 100

Category: Math Ch 9

An angle is in standard position , if its vertex is

At origin

at ? − ????

??? − ????

in 1st Quad Only

60 / 100

Category: Math Ch 5

A fraction ?(?)/?(?), ?(?) ≠ ? is called proper fraction if :

Degree of ?(?) < Degree of ?(?)

Degree of ?(?) = Degree of ?(?)

Degree of ?(?) > Degree of ?(?)

Degree of ?(?) ≥ Degree of ?(?)

61 / 100

Category: Math Ch 14

All trigonometric functions are ……………….. functions.

Periodic

continues

injective

bijective

62 / 100

Category: Math Ch 5 Class 12

The symbols used for inequality are

63 / 100

Category: Math Ch 7 Class 12

64 / 100

Category: Math Ch 7 Class 12

65 / 100

Category: Math Ch 3

66 / 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

67 / 100

Category: Math Ch 1 Class 12

68 / 100

Category: Math Ch 13

69 / 100

Category: Math Ch 3 Class 12

70 / 100

Category: Math Ch 4

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

Multiplicative inverse

reciprocal

square

None of these

71 / 100

Category: Math Ch 6

The interval in which series ? + ?? + ??^? + ??^? + ⋯ is convergent if :

−2 < ? < 2 (

−1/2< ? <1/2

|2?| > 1

|?| < 1

72 / 100

Category: Math Ch 5

73 / 100

Category: Math Ch 2 Class 12

A point where 1st derivative of function is zero , is called

Stationary point

corner point

point of concurrency

common point

74 / 100

Category: Math Ch 2 Class 12

75 / 100

Category: Math Ch 2 Class 12

76 / 100

Category: Math Ch 14

77 / 100

Category: Math Ch 3 Class 12

78 / 100

Category: Math Ch 3 Class 12

79 / 100

Category: Math Ch 3 Class 12

80 / 100

Category: Math Ch 7

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

None of thes

81 / 100

Category: Math Ch 5 Class 12

82 / 100

Category: Math Ch 9

??°??′ equal to

16.5°

32°/2

16.05°

16.2°

83 / 100

Category: Math Ch 6 Class 12

A type of the conic that has eccentricity greater than 1 is

An ellipse

A parabola

A hyperbola

A circle

84 / 100

Category: Math Ch 1 Class 12

If the degree of a polynomial function is 1, then it is

Identity function

Constant function

Linear function

Exponential function

85 / 100

Category: Math Ch 12

86 / 100

Category: Math Ch 4

87 / 100

Category: Math

Squaring a number is a:

Unary operation

binary operation

relation

Function

88 / 100

Category: Math Ch 3 Class 12

The equation ? = ?? − ?? + ? represents ( ? being a parameter )

One parabola

family of parabolas

family of line

two parabolas

89 / 100

Category: Math Ch 1

A decimal which has a finite numbers of digits in its decimal part is called______ decimal.

Terminating

Non-Terminating

Recurring

Non recurring

90 / 100

Category: Math Ch 3

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

Main diagonal

primary diagonal

proceding diagonal

secondary diagonal

91 / 100

Category: Math

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

92 / 100

Category: Math Ch 6 Class 12

93 / 100

Category: Math Ch 4 Class 12

The centroid of a triangle divides each median in the ration of

2:1

1:2

1:1

None of these

94 / 100

Category: Math Ch 9

Sexagesimal system is also called

German System

English System

C.G.S System

SI System

95 / 100

Category: Math Ch 5 Class 12

The solution of ?? + ? < ? is

Closed half plane

open half plane

circle

parabola

96 / 100

Category: Math Ch 9

97 / 100

Category: Math Ch 5 Class 12

For feasible region:

? ≥ 0, ? ≥ 0

? ≥ 0, ? ≤ 0

? ≤ 0, ? ≥ 0

? ≤ 0, ? ≤ 0

98 / 100

Category: Math Ch 2 Class 12

The maximum value of the function ?(?) = ?^? − ? − ? is

−9/2

−9/4

-1

99 / 100

Category: Math Ch 2 Class 12

100 / 100

Category: Math Ch 11

The graph of trigonometric functions have:

Break segments

Sharp corners

Straight line segments

smooth curves

Your score is

The average score is 55%

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