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CUET Mathematics Exam Syllabus 2022

Author : Palak Khanna

July 28, 2022

SHARE

The Central Universities Common Entrance Test (often abbreviated as CUET Exam) is a standardized test that applicants must take in order to be considered for admission to any of India's Central Universities.

It is an admission test done on a computer and administered by the National Testing Agency (NTA). 

Candidates interested in enrolling in any program at the Bachelor's or Master's level are required to pass the CUET Exam 2022 to be considered for admission.

The candidates will be chosen based on their performance on a test that is administered on a computer (CBT).

The applicants' performance in the CBT will be used to compile a list of merit, which will be presented to the committee.

Candidates will be able to determine their eligibility for the counseling session of various institutions for the program of their choosing based on the merit list that has been provided.

This article has provided an in-depth discussion of the topics that will be covered in the Mathematics section of the CUET Exam 2022. 

Download Free Study Material for NTA CUET Exam 2022 by Super Grads

CUET Exam

The Central University Entrance Test (CUET 2022) will be administered to establish a level playing field for all applicants, irrespective of how well they previously performed in the class 12 board test.

The Mathematics curriculum for the CUET entrance test has been issued by the National Testing Agency with great success. For further information on CUET 2022, students are obligated to check out the event's official website.

The mathematics curriculum is written in such a way as to be comprehensive to ensure that students can obtain clarity on the significant issues that call for more practice.

cucet online coaching

cucet online coaching

A few essential points to remember regarding the CUET test:

  • At CUET, the medium of instruction will be made available in a number of various languages (13 in all) for the very first time since the institution's foundation.
  • The examination will be given over the course of two shifts, in the format of a computer-based test (CBT) and online (Morning and Afternoon).

On the official website of the National Testing Agency, the comprehensive course outlines for all of the relevant courses have already been made available to the public. This page also includes a comprehensive discussion of the mathematics curriculum that will be used for CUET (2022).

You should not expect to have a simple time with the CUET examination. The type of test is one that is centralized, and it is anticipated that the competition will be quite severe.

You should begin preparing for the examination by reading through the curriculum in order to get an appropriate comprehension of it.

The mathematics curriculum for CUET is quite comprehensive and may be broken down into two distinct parts due to its breadth.

When it comes to your preparation, it is of the utmost significance that, in addition to being familiar with the curriculum, you are also well-versed in the format of the mathematics examination, including the sorts of questions that are asked from each section.

This comprehensive understanding of the test format and curriculum is sure to come in helpful at some point, and it will make the work at hand much simpler at every stage of your preparation.

The specific question format for each unit is broken down into the following categories:

  • CUET Exam pattern One Question Paper will be divided into sections, Section A and Section B [B1 and B2].
  • Each applicant will be required to answer all 15 questions in Section A's Mathematics and Applied Mathematics section. This section will cover both types of mathematics.
  • Mathematics will be covered in Section B1 with a total of 35 questions, of which candidates only need to attempt 25 questions.
  • There will be a total of 35 questions based only on applied mathematics in Section B2, although only 25 of those problems will be tried.

cucet online coaching

cucet online coaching

Several Important Considerations with Regards to the Test

Why should you thoroughly examine the CUET curriculum before beginning their test preparation?

You are strongly encouraged to go through the CUET Syllabus in order to have a comprehensive understanding of the various subjects.

The next step for you is to create a schedule and divide their time among the many topics in accordance with the importance they place on them and the degree of difficulty they present.

If you do not have access to the course outline, they will not be able to begin their studies promptly.

You need to break up the massive curriculum into manageable chunks and then tackle each component in turn; otherwise, they risk being overwhelmed by the sheer volume of material.

Is it challenging to earn a passing score on the CUET 2022 Mathematics Exam?

The mathematics curriculum is rather extensive, and students are expected to put in a lot of work to master the material. In contrast to the other disciplines, Mathematics is not one that can be mastered at the eleventh hour.

You need a significant amount of time to master the formulae and implement them when calculating the answers to the problems. If you are honest enough to practice mathematics every day for at least two hours, then the mathematics test will not be particularly tough for that student to pass.

On the other hand, if you treat your coursework casually and do not put in the necessary effort to practice your math skills frequently, you will experience test anxiety and make careless errors.

In order to better prepare for the CUET 2022 Mathematics Exam, what should you do?

It is generally agreed that engaging in consistent practice is the most effective strategy to improve one's score.

You would benefit from constantly writing down the essential formulae and working through problem sets in order to build self-assurance.

Because it is quite difficult for you to recall all of the formulae, they should create a chart that includes all of the formulas that are considered to be relevant.

You should practice the fundamental ideas they discovered at the beginning of the class period.

Students with a good understanding of the fundamental ideas may readily acquire the more advanced ones and put them to use whenever necessary.

In addition, you should devote some of their time to comprehending the reasoning that lies behind the derivations that have been solved; if they do not, they will be unable to deduce the steps independently. In order for students to do well in the exam, they need to consult with professionals to get their questions about specific subjects answered.

Check: SuperGrads CUET Scholarship Test

How many times do you get the opportunity to take the CUET during the course of a year?

You are only allowed one shot at the exam every academic year to fulfill the requirements set out by the National Testing Agency. When it comes to taking the exam, you are not limited in any way depending on their age or the grades they received in their 12th year.

Students who take the College Entrance Examination of Washington (CUET) and don't pass it on their first try are required to retake it the following year before they may take it again.

On the other hand, it is anticipated that starting in the year 2023 and moving beyond, the NTA will conduct the entrance examination more than once over the course of the year for the benefit of the students.

Why should you try to complete the mathematics papers from the mock tests or the mathematics questions from the previous year?

You should visit the official website of the National Testing Agency to acquire the questions from the previous year and then conduct an in-depth examination of the most significant subject areas.

By working through the problems from the previous year, you will have a general sense of the relative significance of the various subject areas once they have completed the exercises.

You will get an understanding of the test format and have the opportunity to increase the pace at which they work.

After the students have finished their CUET preparation, they are encouraged to take the CUET Mock examinations, which will assist them in determining the areas in which they excel and those in which they struggle.

You may increase your self-assurance and resolve by engaging in self-evaluation, which is a highly significant activity.

Why is the CUET regarded as such a significant examination?

You are encouraged to do your best on the Common University Entrance Test since your scores on that exam will determine whether or not you are admitted to highly regarded schools and universities.

In order to lessen the importance of the marks obtained on the class 12 board examinations, the Education Minister decided to implement the CUET entrance examination. Students who have received lower grades in the class 12 board examinations should not allow themselves to get disheartened or unhappy since they still have a chance of gaining admission to reputable colleges if they do well on the CUET test.

The CUET Scores will be the primary factor used to determine placement on the merit list for admission to CUET, with the Class 12 Board Exam Marks receiving far less consideration.

Essential points to remember regarding the CUET test

According to the announcement made by NTA, the CUET (2022) will be held during the second week of July (tentatively).

At CUET, the medium of instruction will be made available in a number of various languages (13 in all) for the very first time since the institution's foundation.

The examination will be given over the course of two shifts, in the format of a computer-based test (CBT) and online (Morning and Afternoon).

  • On the official website of the National Testing Agency, the comprehensive course outlines for all of the relevant courses have already been made available to the public.
  • This page also includes a comprehensive discussion of the mathematics curriculum that will be used for CUET (2022).
  • The pupils should not expect to have a simple time with the CUET examination.
  • The type of test is one that is centralized, and it is anticipated that the competition will be quite severe.
  • The pupils want to begin preparing for the examination by reading through the curriculum in order to get an appropriate comprehension of it.

The mathematics curriculum for CUET is quite comprehensive and may be broken down into two distinct parts due to its breadth. When it comes to your preparation, it is of the utmost significance that, in addition to being familiar with the curriculum, you are also well-versed in the format of the mathematics examination, including the sorts of questions that are asked from each section.

This comprehensive understanding of the test format and curriculum is sure to come in helpful at some point, and it will make the work at hand much simpler at every stage of your preparation.

The specific question format for each unit is broken down into the following categories:

  • One Question Paper will be divided into sections, Section A and Section B [B1 and B2].
  • Each applicant will be required to answer all 15 questions in Section A's Mathematics and Applied Mathematics section. This section will cover both types of mathematics.
  • Mathematics will be covered in Section B1 with a total of 35 questions, of which candidates only need to attempt 25 questions.
  • There will be a total of 35 questions based only on applied mathematics in Section B2, although only 25 of those problems will be tried.

The following table provides a discussion of the CUET mathematics curriculum in further detail: 

Mathematics/ Applied Mathematics (319) Syllabus for class 12

Note: There will be one Question Paper containing Two Sections, i.e., Section A and Section B [B1 and B2].

Section A will have 15 questions covering both, i.e., Mathematics/Applied Mathematics, which will be compulsory for all candidates

Section B1 will have 35 questions from Mathematics, out of which 25 questions need to be attempted. Section B2 will have 35 questions purely from Applied Mathematics, out of which 25 questions will be attempted.

Section B1: Mathematics Course

UNIT I: RELATIONS AND FUNCTIONS

Relationships and Roles

Forms of relationships: Reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions, composite functions, and the function's inverse. The use of binary operations.

Trigonometric Inverse Functions

Definition, range, domain, major value branches. Inverse trigonometric function graphs. The fundamental characteristics of inverse trigonometric functions.

UNIT II: ALGEBRA

Matrices

Concept, notation, order, equality, matrices types, zero matrices, matrix transpose, symmetric matrices. Matrix addition, multiplication, and scalar multiplication; addition, multiplication, and scalar multiplication as basic characteristics. Noncommutativity of matrix multiplication and the presence of nonzero matrices whose product is zero matrices (restrict to square matrices of order 2). Concept about elementary row and column operations Invertible matrices and, if possible, confirmation of the uniqueness of the inverse; (Here, all matrices will have real entries).

Determinants

Determinants of a square matrix (up to 3 3 matrices), their characteristics, minors, and applications in calculating the area of a triangle. Inverse and adjoint of a square matrix. Example of consistency, inconsistency, and several solutions of a system of linear equations; solution of a system of linear equations in two or three variables (with a unique solution) using the inverse of a matrix.

UNIT III: CALIBRATION

Continuity and Distinctiveness

Continuity and differentiability, the derivative of composite functions, the chain rule, the derivatives of inverse trigonometric functions, and the derivative of an implicit function. Exponential and logarithmic function concepts. Derivativesoflog x index. Differentiation is based on logarithmic differentiation. Derivative of parametrically-expressed functions. Second-order differentiation. Rolle's and Lagrange's Mean Value Theorems and their geometric implications (without proof).

Derivative Applications

Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima, and minima are applications of derivatives (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject and real-life situations). Standard and Tangent

Three Applications of Integrals

Applications for determining the area under simple curves, including lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two aforementioned curves (the region should be identifiable).

UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY

Vectors

Vectors and scalars, vector magnitude and direction Vector direction cosines and ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), the position vector of a point, the negative of a vector, the components of a vector, the addition of vectors, the multiplication of a vector by a scalar, and the position vector of a point splitting a line segment in a certain ratio. Scalar product of vectors, vector projection onto a line. Vector (cross) product and vector triple product.

The study of three-dimensional geometry

Cosines and ratios of the direction of a line joining two locations. Cartesian and vector line equations, coplanar and skew lines, and the shortest distance between two lines. A plane's Cartesian and vector equations. The angle between two lines, planes, or a line and a plane. The distance between a point and a plane.

UNIT V: Linear Programming

Introduction, terminology such as constraints, objective function, and optimization, various types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for two-variable problems, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit VI: Probability

Multiplications in theorem regarding probability. Baye's theorem, conditional probability, independent events, and total probability. Random variable, its probability distribution, and its mean and standard deviation. Repeated independent trials (Bernoulli) and the Binomial distribution.

Section B2: Applied Mathematics

 Unit I: Numbers, Quantity, and Numerical Applications

Modulo Arithmetic 

  • Define the modulus of an integer
  • Use modular arithmetic rules to perform arithmetic operations

Congruence Modulo

  • Define congruence modulo 
  • Apply the definition to several problems

Allegation and Combination

  • Determine the mean price of a mixture 
  • Comprehend the rule of allegation for producing a mixture at a particular price
  • Apply the rule stated in the accusation

Numerical Problems

  • Solve mathematically real-world problems

Boats and Streams 

  • Differentiate between upstream and downstream 
  • Write the problem as an equation

Pipes and cisterns

  • Calculate the time required for two or more pipes to fill or drain.

Contests and sports

  • Compare the performance of two players in terms of time, distance traveled, and work accomplished using the provided data.

Partnership 

  • Distinguish between an active partner and a sleeping partner 
  • Calculate the gain or loss to be distributed among the partners based on the proportion of each partner's investment to the total investment
  • evaluation of time/volume/surface area for solids created by combining two or more shapes

Numerical Inequalities

  • Describe the fundamental ideas of numerical inequalities 
  • Understand numerical inequalities and write them

 Unit II: ALGEBRA

Types of matrices and matrices

  • Define matrix 
  • Recognize many types of matrices

Equivalence of matrices Matrix transpose, symmetric and skew-symmetric matrix

  • Determine the equivalence of two matrices
  • Write transpose of a given matrix
  • Define symmetric and skewsymmetric matrix

UNIT III: CALIBRATION

Higher Order Derivatives

  • Calculate second and higher-order derivatives
  • Understand differentiation of parametric functions and implicit functions Identify dependent and independent variables

Marginal Revenue and Marginal Cost Using Derivatives

  • Determine marginal cost and revenue
  • Find marginal cost and marginal revenue

Maxima and minima

  • Determine critical points of the function
  • Find the point(s) of local maxima and local minima and the accompanying local maximum and local minimum values
  • Determine the absolute maximum and absolute minimum value of a function

UNIT IV: PROBABILITY DISTRIBUTIONS

Probability Distribution

  • Understand the idea of Random Variables and their Probability Distributions
  • Find the probability distribution of the discrete random variable

Mathematical Expectation

  • Use the arithmetic mean of the frequency distribution to determine the anticipated value of a random variable

Variance

  • Calculate the Variance and Standard Deviation of a random variable

UNIT V: INDEX NUMBERS AND TIME-BASED DATA

Index Numbers

  •  Define Index numbers as a special type of average

Development of index numbers

  • Create various types of index numbers

Test of Index Numbers' Adequacy 

  • Apply the time reversal test

UNIT VI: UNIT V: INDEX NUMBERS AND TIME-BASED DATA

Population and Sample

  • Define Population and Sample
  • Differentiate between population and sample
  • Define a representative sample from a population

Parameters and statistics, as well as Statistical Interferences

  • Define Parameter of Population
  • Define Statistics about the Sample
  • Explain the relationship between Parameters and Statistics
  • Explain the limitation of Statistics to generalize the estimation of the Population
  • Interpret the concept of Statistical Significance and Statistical Inferences
  • State the Central Limit Theorem
  • Explain the relationship between Population, Sampling Distribution, and Sample.

UNIT VII: INDEX NUMBERS AND TIME-BASED DATA

A.Time Series

  • Determine that time series are chronological data

Components of Time Series

  • Differentiate between distinct time series components

Time Series analysis for univariate data

  • Solve practical problems based on statistical data and Interpret

Check: CUET Sociology Syllabus

UNIT VIII: FINANCIAL MATHEMATICS

Endowment and Sinking Funds

  • Define perpetuity and sinking fund
  • Calculate perpetuity
  • Distinguish between sinking fund and savings account.

Bond Valuation

  • Define the idea of bond valuation and related concepts
  • Determine the bond's value using the present value method

EMI Calculation

  • Describe the notion of electromagnetic interference (EMI)
  • Calculate EMI using various ways

Linear Depreciation Method

  • Define the idea of linear depreciation
  • Interpret the cost, residual value, and usable life of an item based on the facts provided
  • Calculate depreciation

UNIT IX: LINEAR PROGRAMMING

Introduction and pertinent terms

  • Acquaint oneself with terms associated with Linear Programming Problem

B.Mathematicalformulation of Linear Programming Problem

Formulate Linear Programming Problem

Different Linear Programming Problem Types

Identify and develop various LPP kinds

Graphical Solution Method for Two-Variable Problems

Draw the graph for a system of linear inequalities involving two variables and graphically determine its solution

Check: CUET Economics Syllabus

Feasible and InfeasibleRegions

Identify feasible, infeasible, and bounded regions

Feasible and impractical solutions, optimum feasible solution

  • Recognize feasible and impractical options
  • Identify the optimal feasible solution

How to Study for the Mathematics Portion of the CUET?

It is quite essential that you make the most of the time that you have left, especially considering that there is only approximately a month left. You need to have a solid strategy in hand in order to invest your time in a manner that is both prudent and astute.

You will now receive assistance from this post as it will provide you with some tried and tested ways to prepare yourself better for the CUET exam.

The following are the tactics and strategies that are discussed:

An appropriate timetable

In order to be successful in any form of preparation, a method that is structured and based on regularity is very necessary. This can only be accomplished by planning up an appropriate schedule, taking into account the duration of the CUET mathematics curriculum and the amount of time available to you.

The schedule has to guarantee that you can complete the whole curriculum within the allotted time and provide sufficient time afterward to practice and go over the material. After you've completed creating your schedule, it's imperative that you stick to it and always be on time.

Complete mastery of the course material

To be well prepared for the mathematics portion of the CUET, you need more than just knowledge of the curriculum. A complete understanding necessitates that you recognize and arrange the chapters in descending order of significance.

You must be aware of both your strong and weak points and actively attempt to improve them.

This will provide you with more clarity and help you approach things more smoothly. You need to do everything in your power to keep your study focused and directed toward the objectives listed on the syllabus.

Consistency and efficient use of time management

How should one go about preparing for the CUET in chemistry planning?

It is essential that you give careful attention to both of these aspects. Your ability to organize your time effectively and maintain a regular routine will determine the magnitude of the contribution you make to the overall probability of your achievement.

You should prioritize effectively managing your available time and maintaining a consistent level of effort.

Because of this, your strategy is disciplined and focused on achieving a goal. If you can guarantee both of these things, then the likelihood of your success will increase significantly.

Check: CUET Application Form 2022

Combination of mocks and study

This is the final and most important phase, which should not be skipped by anyone. You will emerge from this, improve in every way, and be well prepared to take the test.

When you have finished going through the course material, make sure to review it thoroughly and read over the most significant material many times.

It is recommended that aspirants complete as many practices set as possible while also participating in mock exams. You will have the opportunity to effectively manage your time during examinations and become used to the environment of the examinations if you do this.

In addition to this, do not overlook the importance of maintaining a healthy diet, getting plenty of rest, and keeping a level head. The finest results are consistently produced by a healthy body and mind that collaborate with one another. 

Conclusion

Due to the extensive amount of practice required, mathematics is widely regarded as the most challenging topic among all the other subjects. It is impossible for a candidate to become an expert in mathematics unless the candidate frequently practices the topics.

For the candidate to be able to practice problem sums, it is necessary for them to have knowledge of the subjects covered in the curriculum. The preceding part of this article has offered a detailed summary of the curriculum as well as the format of the examination. Practice is often regarded as the most important factor in determining one's level of competence, thus, students who have an interest in the subject should thoroughly look over the course outline and routinely work on the material.

Frequently Asked Questions

The CUET Exam is open to candidates for the following courses: Integrated Bachelor of Science and Master of Science in Mathematics, Integrated Bachelor of Science and Bachelor of Education in Mathematics, and Integrated Master of Science in Mathematics.


There are now three Central Universities that are participating in the CUET Exam that provide mathematics-related courses. The institutions listed below are the Central Universities of Kashmir, Rajasthan, and Tamil Nadu.


Candidates are required to practice a wide range of topics, with at least 100-200 questions coming from each area. Your response times and accuracy will both improve with consistent practice and revision of the material.


Candidates are required to thoroughly read the official announcement and check through the test patterns and the syllabus for each topic they choose to study. They can get started by devising a daily study schedule that takes into account their abilities and the demands of the situation. The secret is to maintain a consistent effort level and to work really hard every day. 


  • Home
  • CUET Mathematics Exa...

CUET Mathematics Exam Syllabus 2022

Author : Palak Khanna

Updated On : July 28, 2022

SHARE

The Central Universities Common Entrance Test (often abbreviated as CUET Exam) is a standardized test that applicants must take in order to be considered for admission to any of India's Central Universities.

It is an admission test done on a computer and administered by the National Testing Agency (NTA). 

Candidates interested in enrolling in any program at the Bachelor's or Master's level are required to pass the CUET Exam 2022 to be considered for admission.

The candidates will be chosen based on their performance on a test that is administered on a computer (CBT).

The applicants' performance in the CBT will be used to compile a list of merit, which will be presented to the committee.

Candidates will be able to determine their eligibility for the counseling session of various institutions for the program of their choosing based on the merit list that has been provided.

This article has provided an in-depth discussion of the topics that will be covered in the Mathematics section of the CUET Exam 2022. 

Download Free Study Material for NTA CUET Exam 2022 by Super Grads

CUET Exam

The Central University Entrance Test (CUET 2022) will be administered to establish a level playing field for all applicants, irrespective of how well they previously performed in the class 12 board test.

The Mathematics curriculum for the CUET entrance test has been issued by the National Testing Agency with great success. For further information on CUET 2022, students are obligated to check out the event's official website.

The mathematics curriculum is written in such a way as to be comprehensive to ensure that students can obtain clarity on the significant issues that call for more practice.

cucet online coaching

cucet online coaching

A few essential points to remember regarding the CUET test:

  • At CUET, the medium of instruction will be made available in a number of various languages (13 in all) for the very first time since the institution's foundation.
  • The examination will be given over the course of two shifts, in the format of a computer-based test (CBT) and online (Morning and Afternoon).

On the official website of the National Testing Agency, the comprehensive course outlines for all of the relevant courses have already been made available to the public. This page also includes a comprehensive discussion of the mathematics curriculum that will be used for CUET (2022).

You should not expect to have a simple time with the CUET examination. The type of test is one that is centralized, and it is anticipated that the competition will be quite severe.

You should begin preparing for the examination by reading through the curriculum in order to get an appropriate comprehension of it.

The mathematics curriculum for CUET is quite comprehensive and may be broken down into two distinct parts due to its breadth.

When it comes to your preparation, it is of the utmost significance that, in addition to being familiar with the curriculum, you are also well-versed in the format of the mathematics examination, including the sorts of questions that are asked from each section.

This comprehensive understanding of the test format and curriculum is sure to come in helpful at some point, and it will make the work at hand much simpler at every stage of your preparation.

The specific question format for each unit is broken down into the following categories:

  • CUET Exam pattern One Question Paper will be divided into sections, Section A and Section B [B1 and B2].
  • Each applicant will be required to answer all 15 questions in Section A's Mathematics and Applied Mathematics section. This section will cover both types of mathematics.
  • Mathematics will be covered in Section B1 with a total of 35 questions, of which candidates only need to attempt 25 questions.
  • There will be a total of 35 questions based only on applied mathematics in Section B2, although only 25 of those problems will be tried.

cucet online coaching

cucet online coaching

Several Important Considerations with Regards to the Test

Why should you thoroughly examine the CUET curriculum before beginning their test preparation?

You are strongly encouraged to go through the CUET Syllabus in order to have a comprehensive understanding of the various subjects.

The next step for you is to create a schedule and divide their time among the many topics in accordance with the importance they place on them and the degree of difficulty they present.

If you do not have access to the course outline, they will not be able to begin their studies promptly.

You need to break up the massive curriculum into manageable chunks and then tackle each component in turn; otherwise, they risk being overwhelmed by the sheer volume of material.

Is it challenging to earn a passing score on the CUET 2022 Mathematics Exam?

The mathematics curriculum is rather extensive, and students are expected to put in a lot of work to master the material. In contrast to the other disciplines, Mathematics is not one that can be mastered at the eleventh hour.

You need a significant amount of time to master the formulae and implement them when calculating the answers to the problems. If you are honest enough to practice mathematics every day for at least two hours, then the mathematics test will not be particularly tough for that student to pass.

On the other hand, if you treat your coursework casually and do not put in the necessary effort to practice your math skills frequently, you will experience test anxiety and make careless errors.

In order to better prepare for the CUET 2022 Mathematics Exam, what should you do?

It is generally agreed that engaging in consistent practice is the most effective strategy to improve one's score.

You would benefit from constantly writing down the essential formulae and working through problem sets in order to build self-assurance.

Because it is quite difficult for you to recall all of the formulae, they should create a chart that includes all of the formulas that are considered to be relevant.

You should practice the fundamental ideas they discovered at the beginning of the class period.

Students with a good understanding of the fundamental ideas may readily acquire the more advanced ones and put them to use whenever necessary.

In addition, you should devote some of their time to comprehending the reasoning that lies behind the derivations that have been solved; if they do not, they will be unable to deduce the steps independently. In order for students to do well in the exam, they need to consult with professionals to get their questions about specific subjects answered.

Check: SuperGrads CUET Scholarship Test

How many times do you get the opportunity to take the CUET during the course of a year?

You are only allowed one shot at the exam every academic year to fulfill the requirements set out by the National Testing Agency. When it comes to taking the exam, you are not limited in any way depending on their age or the grades they received in their 12th year.

Students who take the College Entrance Examination of Washington (CUET) and don't pass it on their first try are required to retake it the following year before they may take it again.

On the other hand, it is anticipated that starting in the year 2023 and moving beyond, the NTA will conduct the entrance examination more than once over the course of the year for the benefit of the students.

Why should you try to complete the mathematics papers from the mock tests or the mathematics questions from the previous year?

You should visit the official website of the National Testing Agency to acquire the questions from the previous year and then conduct an in-depth examination of the most significant subject areas.

By working through the problems from the previous year, you will have a general sense of the relative significance of the various subject areas once they have completed the exercises.

You will get an understanding of the test format and have the opportunity to increase the pace at which they work.

After the students have finished their CUET preparation, they are encouraged to take the CUET Mock examinations, which will assist them in determining the areas in which they excel and those in which they struggle.

You may increase your self-assurance and resolve by engaging in self-evaluation, which is a highly significant activity.

Why is the CUET regarded as such a significant examination?

You are encouraged to do your best on the Common University Entrance Test since your scores on that exam will determine whether or not you are admitted to highly regarded schools and universities.

In order to lessen the importance of the marks obtained on the class 12 board examinations, the Education Minister decided to implement the CUET entrance examination. Students who have received lower grades in the class 12 board examinations should not allow themselves to get disheartened or unhappy since they still have a chance of gaining admission to reputable colleges if they do well on the CUET test.

The CUET Scores will be the primary factor used to determine placement on the merit list for admission to CUET, with the Class 12 Board Exam Marks receiving far less consideration.

Essential points to remember regarding the CUET test

According to the announcement made by NTA, the CUET (2022) will be held during the second week of July (tentatively).

At CUET, the medium of instruction will be made available in a number of various languages (13 in all) for the very first time since the institution's foundation.

The examination will be given over the course of two shifts, in the format of a computer-based test (CBT) and online (Morning and Afternoon).

  • On the official website of the National Testing Agency, the comprehensive course outlines for all of the relevant courses have already been made available to the public.
  • This page also includes a comprehensive discussion of the mathematics curriculum that will be used for CUET (2022).
  • The pupils should not expect to have a simple time with the CUET examination.
  • The type of test is one that is centralized, and it is anticipated that the competition will be quite severe.
  • The pupils want to begin preparing for the examination by reading through the curriculum in order to get an appropriate comprehension of it.

The mathematics curriculum for CUET is quite comprehensive and may be broken down into two distinct parts due to its breadth. When it comes to your preparation, it is of the utmost significance that, in addition to being familiar with the curriculum, you are also well-versed in the format of the mathematics examination, including the sorts of questions that are asked from each section.

This comprehensive understanding of the test format and curriculum is sure to come in helpful at some point, and it will make the work at hand much simpler at every stage of your preparation.

The specific question format for each unit is broken down into the following categories:

  • One Question Paper will be divided into sections, Section A and Section B [B1 and B2].
  • Each applicant will be required to answer all 15 questions in Section A's Mathematics and Applied Mathematics section. This section will cover both types of mathematics.
  • Mathematics will be covered in Section B1 with a total of 35 questions, of which candidates only need to attempt 25 questions.
  • There will be a total of 35 questions based only on applied mathematics in Section B2, although only 25 of those problems will be tried.

The following table provides a discussion of the CUET mathematics curriculum in further detail: 

Mathematics/ Applied Mathematics (319) Syllabus for class 12

Note: There will be one Question Paper containing Two Sections, i.e., Section A and Section B [B1 and B2].

Section A will have 15 questions covering both, i.e., Mathematics/Applied Mathematics, which will be compulsory for all candidates

Section B1 will have 35 questions from Mathematics, out of which 25 questions need to be attempted. Section B2 will have 35 questions purely from Applied Mathematics, out of which 25 questions will be attempted.

Section B1: Mathematics Course

UNIT I: RELATIONS AND FUNCTIONS

Relationships and Roles

Forms of relationships: Reflexive, symmetric, transitive, and equivalence relations. One-to-one and onto functions, composite functions, and the function's inverse. The use of binary operations.

Trigonometric Inverse Functions

Definition, range, domain, major value branches. Inverse trigonometric function graphs. The fundamental characteristics of inverse trigonometric functions.

UNIT II: ALGEBRA

Matrices

Concept, notation, order, equality, matrices types, zero matrices, matrix transpose, symmetric matrices. Matrix addition, multiplication, and scalar multiplication; addition, multiplication, and scalar multiplication as basic characteristics. Noncommutativity of matrix multiplication and the presence of nonzero matrices whose product is zero matrices (restrict to square matrices of order 2). Concept about elementary row and column operations Invertible matrices and, if possible, confirmation of the uniqueness of the inverse; (Here, all matrices will have real entries).

Determinants

Determinants of a square matrix (up to 3 3 matrices), their characteristics, minors, and applications in calculating the area of a triangle. Inverse and adjoint of a square matrix. Example of consistency, inconsistency, and several solutions of a system of linear equations; solution of a system of linear equations in two or three variables (with a unique solution) using the inverse of a matrix.

UNIT III: CALIBRATION

Continuity and Distinctiveness

Continuity and differentiability, the derivative of composite functions, the chain rule, the derivatives of inverse trigonometric functions, and the derivative of an implicit function. Exponential and logarithmic function concepts. Derivativesoflog x index. Differentiation is based on logarithmic differentiation. Derivative of parametrically-expressed functions. Second-order differentiation. Rolle's and Lagrange's Mean Value Theorems and their geometric implications (without proof).

Derivative Applications

Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima, and minima are applications of derivatives (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject and real-life situations). Standard and Tangent

Three Applications of Integrals

Applications for determining the area under simple curves, including lines, arcs of circles/parabolas/ellipses (in standard form only), and the area between the two aforementioned curves (the region should be identifiable).

UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY

Vectors

Vectors and scalars, vector magnitude and direction Vector direction cosines and ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), the position vector of a point, the negative of a vector, the components of a vector, the addition of vectors, the multiplication of a vector by a scalar, and the position vector of a point splitting a line segment in a certain ratio. Scalar product of vectors, vector projection onto a line. Vector (cross) product and vector triple product.

The study of three-dimensional geometry

Cosines and ratios of the direction of a line joining two locations. Cartesian and vector line equations, coplanar and skew lines, and the shortest distance between two lines. A plane's Cartesian and vector equations. The angle between two lines, planes, or a line and a plane. The distance between a point and a plane.

UNIT V: Linear Programming

Introduction, terminology such as constraints, objective function, and optimization, various types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for two-variable problems, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit VI: Probability

Multiplications in theorem regarding probability. Baye's theorem, conditional probability, independent events, and total probability. Random variable, its probability distribution, and its mean and standard deviation. Repeated independent trials (Bernoulli) and the Binomial distribution.

Section B2: Applied Mathematics

 Unit I: Numbers, Quantity, and Numerical Applications

Modulo Arithmetic 

  • Define the modulus of an integer
  • Use modular arithmetic rules to perform arithmetic operations

Congruence Modulo

  • Define congruence modulo 
  • Apply the definition to several problems

Allegation and Combination

  • Determine the mean price of a mixture 
  • Comprehend the rule of allegation for producing a mixture at a particular price
  • Apply the rule stated in the accusation

Numerical Problems

  • Solve mathematically real-world problems

Boats and Streams 

  • Differentiate between upstream and downstream 
  • Write the problem as an equation

Pipes and cisterns

  • Calculate the time required for two or more pipes to fill or drain.

Contests and sports

  • Compare the performance of two players in terms of time, distance traveled, and work accomplished using the provided data.

Partnership 

  • Distinguish between an active partner and a sleeping partner 
  • Calculate the gain or loss to be distributed among the partners based on the proportion of each partner's investment to the total investment
  • evaluation of time/volume/surface area for solids created by combining two or more shapes

Numerical Inequalities

  • Describe the fundamental ideas of numerical inequalities 
  • Understand numerical inequalities and write them

 Unit II: ALGEBRA

Types of matrices and matrices

  • Define matrix 
  • Recognize many types of matrices

Equivalence of matrices Matrix transpose, symmetric and skew-symmetric matrix

  • Determine the equivalence of two matrices
  • Write transpose of a given matrix
  • Define symmetric and skewsymmetric matrix

UNIT III: CALIBRATION

Higher Order Derivatives

  • Calculate second and higher-order derivatives
  • Understand differentiation of parametric functions and implicit functions Identify dependent and independent variables

Marginal Revenue and Marginal Cost Using Derivatives

  • Determine marginal cost and revenue
  • Find marginal cost and marginal revenue

Maxima and minima

  • Determine critical points of the function
  • Find the point(s) of local maxima and local minima and the accompanying local maximum and local minimum values
  • Determine the absolute maximum and absolute minimum value of a function

UNIT IV: PROBABILITY DISTRIBUTIONS

Probability Distribution

  • Understand the idea of Random Variables and their Probability Distributions
  • Find the probability distribution of the discrete random variable

Mathematical Expectation

  • Use the arithmetic mean of the frequency distribution to determine the anticipated value of a random variable

Variance

  • Calculate the Variance and Standard Deviation of a random variable

UNIT V: INDEX NUMBERS AND TIME-BASED DATA

Index Numbers

  •  Define Index numbers as a special type of average

Development of index numbers

  • Create various types of index numbers

Test of Index Numbers' Adequacy 

  • Apply the time reversal test

UNIT VI: UNIT V: INDEX NUMBERS AND TIME-BASED DATA

Population and Sample

  • Define Population and Sample
  • Differentiate between population and sample
  • Define a representative sample from a population

Parameters and statistics, as well as Statistical Interferences

  • Define Parameter of Population
  • Define Statistics about the Sample
  • Explain the relationship between Parameters and Statistics
  • Explain the limitation of Statistics to generalize the estimation of the Population
  • Interpret the concept of Statistical Significance and Statistical Inferences
  • State the Central Limit Theorem
  • Explain the relationship between Population, Sampling Distribution, and Sample.

UNIT VII: INDEX NUMBERS AND TIME-BASED DATA

A.Time Series

  • Determine that time series are chronological data

Components of Time Series

  • Differentiate between distinct time series components

Time Series analysis for univariate data

  • Solve practical problems based on statistical data and Interpret

Check: CUET Sociology Syllabus

UNIT VIII: FINANCIAL MATHEMATICS

Endowment and Sinking Funds

  • Define perpetuity and sinking fund
  • Calculate perpetuity
  • Distinguish between sinking fund and savings account.

Bond Valuation

  • Define the idea of bond valuation and related concepts
  • Determine the bond's value using the present value method

EMI Calculation

  • Describe the notion of electromagnetic interference (EMI)
  • Calculate EMI using various ways

Linear Depreciation Method

  • Define the idea of linear depreciation
  • Interpret the cost, residual value, and usable life of an item based on the facts provided
  • Calculate depreciation

UNIT IX: LINEAR PROGRAMMING

Introduction and pertinent terms

  • Acquaint oneself with terms associated with Linear Programming Problem

B.Mathematicalformulation of Linear Programming Problem

Formulate Linear Programming Problem

Different Linear Programming Problem Types

Identify and develop various LPP kinds

Graphical Solution Method for Two-Variable Problems

Draw the graph for a system of linear inequalities involving two variables and graphically determine its solution

Check: CUET Economics Syllabus

Feasible and InfeasibleRegions

Identify feasible, infeasible, and bounded regions

Feasible and impractical solutions, optimum feasible solution

  • Recognize feasible and impractical options
  • Identify the optimal feasible solution

How to Study for the Mathematics Portion of the CUET?

It is quite essential that you make the most of the time that you have left, especially considering that there is only approximately a month left. You need to have a solid strategy in hand in order to invest your time in a manner that is both prudent and astute.

You will now receive assistance from this post as it will provide you with some tried and tested ways to prepare yourself better for the CUET exam.

The following are the tactics and strategies that are discussed:

An appropriate timetable

In order to be successful in any form of preparation, a method that is structured and based on regularity is very necessary. This can only be accomplished by planning up an appropriate schedule, taking into account the duration of the CUET mathematics curriculum and the amount of time available to you.

The schedule has to guarantee that you can complete the whole curriculum within the allotted time and provide sufficient time afterward to practice and go over the material. After you've completed creating your schedule, it's imperative that you stick to it and always be on time.

Complete mastery of the course material

To be well prepared for the mathematics portion of the CUET, you need more than just knowledge of the curriculum. A complete understanding necessitates that you recognize and arrange the chapters in descending order of significance.

You must be aware of both your strong and weak points and actively attempt to improve them.

This will provide you with more clarity and help you approach things more smoothly. You need to do everything in your power to keep your study focused and directed toward the objectives listed on the syllabus.

Consistency and efficient use of time management

How should one go about preparing for the CUET in chemistry planning?

It is essential that you give careful attention to both of these aspects. Your ability to organize your time effectively and maintain a regular routine will determine the magnitude of the contribution you make to the overall probability of your achievement.

You should prioritize effectively managing your available time and maintaining a consistent level of effort.

Because of this, your strategy is disciplined and focused on achieving a goal. If you can guarantee both of these things, then the likelihood of your success will increase significantly.

Check: CUET Application Form 2022

Combination of mocks and study

This is the final and most important phase, which should not be skipped by anyone. You will emerge from this, improve in every way, and be well prepared to take the test.

When you have finished going through the course material, make sure to review it thoroughly and read over the most significant material many times.

It is recommended that aspirants complete as many practices set as possible while also participating in mock exams. You will have the opportunity to effectively manage your time during examinations and become used to the environment of the examinations if you do this.

In addition to this, do not overlook the importance of maintaining a healthy diet, getting plenty of rest, and keeping a level head. The finest results are consistently produced by a healthy body and mind that collaborate with one another. 

Conclusion

Due to the extensive amount of practice required, mathematics is widely regarded as the most challenging topic among all the other subjects. It is impossible for a candidate to become an expert in mathematics unless the candidate frequently practices the topics.

For the candidate to be able to practice problem sums, it is necessary for them to have knowledge of the subjects covered in the curriculum. The preceding part of this article has offered a detailed summary of the curriculum as well as the format of the examination. Practice is often regarded as the most important factor in determining one's level of competence, thus, students who have an interest in the subject should thoroughly look over the course outline and routinely work on the material.

Frequently Asked Questions

The CUET Exam is open to candidates for the following courses: Integrated Bachelor of Science and Master of Science in Mathematics, Integrated Bachelor of Science and Bachelor of Education in Mathematics, and Integrated Master of Science in Mathematics.


There are now three Central Universities that are participating in the CUET Exam that provide mathematics-related courses. The institutions listed below are the Central Universities of Kashmir, Rajasthan, and Tamil Nadu.


Candidates are required to practice a wide range of topics, with at least 100-200 questions coming from each area. Your response times and accuracy will both improve with consistent practice and revision of the material.


Candidates are required to thoroughly read the official announcement and check through the test patterns and the syllabus for each topic they choose to study. They can get started by devising a daily study schedule that takes into account their abilities and the demands of the situation. The secret is to maintain a consistent effort level and to work really hard every day. 


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