Mathematics Practice Tests 5 - PLS Academy

Mathematics Practice Tests Overview

Mathematics Practice Tests are an essential tool for students preparing for MDCAT, ECAT, NUST, UET, FAST, NTS, and FSC board exams. They focus on important topics such as algebra, trigonometry, calculus, arithmetic, and geometry. Regular practice helps students improve problem-solving skills, build strong conceptual understanding, and gain confidence in solving exam-style questions.

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Math Practice Test 5

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1 / 100

Category: Math Ch 13

2 / 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

3 / 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

4 / 100

Category: Math Ch 5

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

Equation

Formula

Rational fraction

Theorem

5 / 100

Category: Math Ch 6 Class 12

. Circle is the special case of :

Parabola

Hyperbola

Ellipse

None of these

6 / 100

Category: Math Ch 3 Class 12

7 / 100

Category: Math Ch 7 Class 12

8 / 100

Category: Math Ch 9

Two rays with a common starting point form:

Triangle

Angle

Radian

Minute

9 / 100

Category: Math Ch 3 Class 12

10 / 100

Category: Math Ch 3 Class 12

11 / 100

Category: Math Ch 4

The equations involving redical expressions of the variable are called:

Reciprocal equations

Redical equations

Quadratic functions

exponential equations

12 / 100

Category: Math Ch 6

13 / 100

Category: Math Ch 7 Class 12

14 / 100

Category: Math Ch 9

The system of angular measurement in which the angle is measured in radian is called:

Sexagesimal System

Circular System

English System

Gradient System

15 / 100

Category: Math Ch 3 Class 12

16 / 100

Category: Math

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

17 / 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

18 / 100

Category: Math Ch 3 Class 12

∫ ?????? =

– ???? + ?

???? + ?

– ???? + ?

???? + c

19 / 100

Category: Math Ch 7 Class 12

20 / 100

Category: Math Ch 2

Which of the following is true:

? ⊂ ?

all of these

21 / 100

Category: Math Ch 4 Class 12

Equation of vertical line through (−?, ?) is

) ? − 5 = 0

? + 5 = 0

? − 3 = 0

? + 3 = 0

22 / 100

Category: Math Ch 1 Class 12

23 / 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

24 / 100

Category: Math Ch 8

25 / 100

Category: Math Ch 4

Basic techniques for solving quadratic equations are

26 / 100

Category: Math Ch 4

Graph of quadratic equation is:

Straight line

Circle

square

Parabola

27 / 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

28 / 100

Category: Math Ch 13

29 / 100

Category: Math Ch 6 Class 12

Which one is related to circle

? = 1

? > 1

? < 1

? = 0

30 / 100

Category: Math Ch 2 Class 12

31 / 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

32 / 100

Category: Math Ch 3 Class 12

?? ? > 0 ??? ? ≠ 1 ?ℎ?? , ∫ ?^??? =

?^ ? + ?

?^ ? ??? + ?

?^ ? /??? + ?

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

33 / 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

34 / 100

Category: Math Ch 3

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

Main diagonal

primary diagonal

proceding diagonal

secondary diagonal

35 / 100

Category: Math Ch 6

36 / 100

Category: Math Ch 5 Class 12

37 / 100

Category: Math Ch 14

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

Periodic

continues

injective

bijective

38 / 100

Category: Math Ch 3

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

any non-zero number

any complex number

39 / 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

40 / 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

41 / 100

Category: Math Ch 8

42 / 100

Category: Math Ch 7 Class 12

43 / 100

Category: Math Ch 1 Class 12

44 / 100

Category: Math Ch 6

The next term of the sequence ?, ?, ??, ??, … is

112

120

124

None of these

45 / 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

46 / 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

47 / 100

Category: Math Ch 9

One right angle is equal to

?/2 ??????

90°

1/4 ????????

All of these

48 / 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

49 / 100

Category: Math Ch 1 Class 12

50 / 100

Category: Math Ch 3 Class 12

51 / 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

52 / 100

Category: Math Ch 5

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

Equation

Formula

Rational fraction

Theorem

53 / 100

Category: Math Ch 3 Class 12

∫ ?^?(?). ?′(?)?? =

???(?) + ?

?^?(?) + ?

???′(?) + ?

?^?(?) + c

54 / 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’’

55 / 100

Category: Math Ch 6

2. A sequence is also known as:

Real sequence

Progression

Arrangement

Complex sequence

56 / 100

Category: Math Ch 7 Class 12

57 / 100

Category: Math Ch 4

The sum of all four fourth roots of 16 is:

-16

58 / 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

59 / 100

Category: Math Ch 7 Class 12

60 / 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

61 / 100

Category: Math Ch 7

62 / 100

Category: Math Ch 10

63 / 100

Category: Math Ch 6

A sequence is function whose domain is

64 / 100

Category: Math

Inverse of a line is :

A line

a parabola

a point

not defined

65 / 100

Category: Math Ch 2

A set is a collection of objects which are

Well defined

Well defined and distinct

identical

not defined

66 / 100

Category: Math Ch 1 Class 12

67 / 100

Category: Math Ch 4 Class 12

68 / 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

69 / 100

Category: Math Ch 3

Inverse of a matrix exists if it is:

Singular

Null

Rectangular

Non-singular

70 / 100

Category: Math Ch 5 Class 12

For feasible region:

? ≥ 0, ? ≥ 0

? ≥ 0, ? ≤ 0

? ≤ 0, ? ≥ 0

? ≤ 0, ? ≤ 0

71 / 100

Category: Math Ch 13

72 / 100

Category: Math Ch 2 Class 12

73 / 100

Category: Math Ch 6 Class 12

The angle inscribed in semi-circle is:

?/2

?/3

?/4

None of these

74 / 100

Category: Math Ch 13

75 / 100

Category: Math Ch 7 Class 12

The vector whose magnitude is 1 is called

Null vector

unit vector

free vector

scalar

76 / 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

77 / 100

Category: Math Ch 3

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

Row vector

Column vector

square matrix

Rectangle matrix

78 / 100

Category: Math Ch 2

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

79 / 100

Category: Math Ch 7

80 / 100

Category: Math Ch 14

General solution of every trigonometric equation consists of :

One solution only

two solutions

infinitely many solutions

no real solution

81 / 100

Category: Math Ch 2 Class 12

82 / 100

Category: Math Ch 5 Class 12

The symbols used for inequality are

83 / 100

Category: Math Ch 7 Class 12

Which of the following can be the direction angles of some vector

45°, 45°, 60°

30°, 45°, 60°

45°, 60°, 60°

obtuse

84 / 100

Category: Math Ch 3

Which of the following Sets is not a field.

85 / 100

Category: Math Ch 3

86 / 100

Category: Math Ch 7 Class 12

87 / 100

Category: Math Ch 9

Sexagesimal system is also called

German System

English System

C.G.S System

SI System

88 / 100

Category: Math Ch 5

89 / 100

Category: Math Ch 7 Class 12

90 / 100

Category: Math Ch 1 Class 12

The domain and range of identity function , ?: ? → ? is

+iv real numbers

–iv real numbers

integers

91 / 100

Category: Math Ch 8

92 / 100

Category: Math Ch 9

93 / 100

Category: Math Ch 4

94 / 100

Category: Math Ch 2 Class 12

95 / 100

Category: Math Ch 5 Class 12

An inequality with one or two variables has ________ solutions.

One

two

three

infinitely many

96 / 100

Category: Math Ch 2 Class 12

97 / 100

Category: Math Ch 2 Class 12

98 / 100

Category: Math Ch 6

99 / 100

Category: Math Ch 6

100 / 100

Category: Math Ch 8

Your score is

The average score is 53%

Advantages of Practicing Mathematics Tests

Regular practice of Mathematics tests enhances speed, accuracy, and time management. Topic-wise and full-length tests allow students to identify weak areas, revise key formulas, and minimize mistakes. Timed practice also prepares students to stay focused and perform effectively under exam conditions.

PLS Academy Mathematics Test Preparation

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

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