Mathematics is no longer the same as it was in your high school. It has changed into an upgraded complex subject with lots of Additional sections like Applied Mathematics, Finance Mathematics, Numerical Applications, Calculus and much more. And you are going to win it over through hard work, consistency and dedication.

CBSE does not consider Numerical Mathematics as a separate subject. Instead, it is considered under the ambit of CBSE Mathematics. The board, CBSE designs its course to help students create and progress their mathematical skills and techniques. The aim of the CBSE Numerical Application course is to acknowledge the significance and utility of its mathematical prowess and simplicity. It also seeks to appreciate its application in almost every other existing field.

You will need training, guidance, a little help here and there in your journey to excel at CBSE Class 12 Maths. Toprankers is always ready to help. We will be looking into Numerical Applications of CBSE Class 12 Maths. We will study about its syllabus, weightage in the exam, what to expect when you are giving a test, Preparation Tips for CBSE Class 12 Numerical Applications, Study Tips, materials, Sample questions and papers. We also see Frequently asked queries of students when it comes to preparation of Numerical Applications of CBSE Class 12 Maths. Lets go.

What is Numerical Application?

Saileja Dash, a math Grad from tells us that Numerical methods are algorithms used for computing numeric data. They are used to provide ‘approximate’ results for the problems being dealt with and their necessity is felt when it becomes impossible or extremely difficult to solve a given problem analytically. In simpler words, Numerical Applications are the ones which deal numbers alone without any external situational problem.

The ambit of Numerical Application covers almost everything related to number problems. This includes some of the topics you have already covered such as Set Theory, Venn Diagram. It also consists of some sections that will be new or you on your higher secondary journey such as Calculus and Interpolation.

Numerical Mathematics sees its application in fields such as Integration, Differentiation, algorithms, space maths, software programming and many others. We will study the basics and build our foundation in Numerical Analysis in this article.

CBSE Class 12 Numerical Applications Syllabus

Before you start solving questions from the subject and plan to excel at CBSE Class 12 Numerical Applications in your coming CBSE Class 12 Boards exam, it is very important to understand the depth of Numerical Applications in CBSE Class 12 Maths. It is highly essential for you to study the syllabus of Class XI Numerical Applications. The Preparation for any exam, particularly CBSE Class 12 Numerical Mathematics, cannot be done without the knowledge of Syllabus.

Class XI Numerical Applications Syllabus consists of topics that form the foundation of Numerical Applications taught in college level and beyond. You might be familiar with Some of the topics while some will be alien to you. However, the new topics will have applications from what you have studied up to your Class 11.

Some of the known topics covered under Numerical Applications are: Set theory and Venn Diagram. Some of the new topics under Class 12 Numerical Applications are: Integration, Differentiation, Interpolation, and finding roots of equations. Let us look at the syllabus of Class 12 Numerical Applications in detail.

  • · Prime Numbers, Encryptions using Prime Numbers
  • · Binary Numbers
  • · Complex Numbers (Preliminary idea only)
  • · Indices, Logarithm and Antilogarithm
  • · Laws and properties of logarithms
  • · Simple applications of logarithm and antilogarithm
  • · Numerical problems on averages, calendar, clock, time, work and distance,
  • · mensuration, seating arrangement

CBSE Class 12 Numerical Application Syllabus is of utmost importance. It helps you form an intelligent opinion on the subject. This understanding of the Numerical Applications subject forms the basis of your foundation on which your success in the subject will grow. The more time you spend with CBSE Class 12 Numerical Applications syllabus, the better your understanding of the subject becomes.

Hence it is highly recommended that you spend enough time studying Numerical Applications Syllabus thoroughly given above.

CBSE Class 12 Numerical Application Weightage

Numerical Applications becomes a crucial part of Class 12 Applied Mathematics Curriculum. It is among the most important topics asked in the CBSE Class 12 Board Exams. Coming just below Calculus, Financial mathematics, and Probability, Numerical Applications hold 09 marks out of the total 80 marks in your CBSE Class 12 Maths Board paper. That makes it 11.25% of the total paper which is a huge percentage.

Subject Number of Periods Weightage
Numerical Applications 20 09

With this high weightage at such a short number of periods, make it the Topic of highest cost-benefit ratio. The syllabus of Numerical Ability is shorter when compared to Probability and other topics of Applied Mathematics and weightage is at 4th place among all topics. Thus, you can score great marks with little effort in Numerical Applications compared to other sections of CBSE Class 12 Applied Mathematics.

What to Expect in the Numerical Applications Examination?

To understand what to expect in CBSE Class 12 Board of Numerical Applications (part of Applied Mathematics), one has to have a thorough knowledge of the syllabus of CBSE Class 12 Numerical Applications.

Since the Numerical Applications is all about numbers and calculations involving them, you can expect questions related to pure numbers. Simple Calculations with some constraints such as Limits and others.

The most difficult part of Numerical Applications is Calculus. Ask anyone who graduated from mathematics at the higher secondary level and they will tell you the nightmares Calculus brought them. You are advised to pay extra attention to the section and give a little extra time to it.

Expect questions with high marks on Calculus and interpolation. Integration in calculus will cover the majority of the Calculus paper.

Study Tips for excelling at Numerical Applications

Your performance in your Class 12 Numerical Applications section depends on how you prepare for it. And your Preparation of Numerical Applications depends on how well you have formed your Preparation Strategy for the subject. A well-rounded preparation strategy is formulated that considers every factor that is at play.

We will help you form your preparation strategy for CBSE Class 12 Numerical Applications. Take note of the following important pointers that you must keep in mind while preparing for CBSE Class 12 Numerical Applications.

  • Syllabus is your Guiding Light: We cannot stress enough on the importance Syllabus holds in your preparation. Your Syllabus is the most important PDF related to your CBSE Class 12 Numerical Applications. You are advised to refer to the syllabus every time you have a query about the relevance of topics. Let the syllabus be your guiding light in your journey towards acing CBSE 12 Numerical Applications.
  • Pay Attention to the Solved Examples: We have a habit of directly solving the exercises of the book and getting done with it. While it is important to solve questions from the exercises, it is equally important to solve questions from the examples. This has been repeated quite a few times when questions in exams came straight out of solved examples from the book. So now you know what to do.
  • Solve a Reference Book: This holds true for Calculus specially. After you are done you’re your text book NCERT and exhausted every question, you can always graduate to a reference book. However, it should be noted that this should be done only after completing NCERT Textbook and not before it.
  • Practise Previous Year papers: This part is as important as the Syllabus of CBSE Class 12 Numerical Application, in fact at times, even more. Previous Year papers help you with the Exam Pattern and trends of questions asked in the examination. Solving Previous Year papers also help introduce you with the Exam Pattern and the methods that should be used to solve the sums.
  • Avoid Calculators: You know this is true. The more you solve your problems on your fingers and on paper, the better you become at it. It is almost like a workout for the brain. It helps you with your calculation skills and mental storage. This will in turn help you solve even bigger and more complex questions later.

Study Materials for Numerical Applications

Study Materials that include Notes and text Books and Reference Books are the best source to start and end your preparation for any subject. You should always prefer books with Clear and neat approach to important theorems and formulae for subjects such as Maths. it is more important than any other resource at any given time of the day.

A good book saves you time, prevents you from irrelevant information and since they are curated for you specially, you are able grasp in more in minimum time possible.

We have mentioned a few trusted links of Study Material for CBSE 12 Maths Numerical Applications for you. Please take a look at each one of them. They might have some topics that are not mentioned in your syllabus. You are advised to refer to the syllabus while taking help from the notes given below.

  • Integral Calculus by Arab Chakraborty
  • · Differential Calculus by Pratiksha Saxena
  • · Interpolation by JF Sttefensen

Sample Questions for Numerical Applications

Follow the Sample Questions of CBSE Class 12 Maths Numerical Applications mentioned below. These are different types of questions you could be asked in your Class 12 CBSE Board Exams. The Questions in the exam will be based on integration, differentiation, variance, interpolation, venn diagram and set theory and other formulae-based questions.

  1. Evaluate: ∫ 3ax/(b2 +c2x2) dx
  2. Determine ∫tan8x sec4 x dx
  3. Write the anti-derivative of the following function: 3x2+4x3
  4. Determine the antiderivative F of “f” , which is defined by f (x) = 4x3 – 6, where F (0) = 3
  5. Integrate the given function using integration by substitution: 2x sin(x2+ 1) with respect to x:
  6. Integrate: ∫ sin3 x cos2x dx
  7. Integrate the function using integration by substitution method: ∫1/(1 + tan x) dx
  8. Find ∫sin 2x cos 3x dx.
  9. Evaluate the integral (cos 2x+ 2 sin2x)/cos2x
  10. Evaluate the integral: ∫ dx/(x2-16)
  11. Find ∫ dx/((x+1)(x+2)) using integration by partial fractions.

We have already shared with you the weightage of Numerical Applications section in CBSE Class 12 Board Exams. It holds 11.25% weightage of Class 12 CBSE Maths Board Paper and has the least syllabus in the list. Thus making is subject to a low cost benefit ratio. it is thus, highly advisable to check all the previous year questions and sample papers available to you in order to excel at CBSE Class 12 Maths Exam

Sample Question Paper for Numerical Applications

CBSE Class 12 Maths Sample papers are the best resource for practising Maths. Subject Experts that include high school and higher secondary teachers, authors, university lecturers and professors come together to form CBSE Class 12 Sample papers for students to practise.

Post Completing Syllabus of CBSE Class 12 Applied Maths Numerical Applications from NCERT, you should begin solving Sample papers to get into the exam mindset. We have provided a list of numerous available CBSE Class 12 Sample papers provided by NCERT and other leading websites.

It is advisable for you to keep a regular flow of practise sessions with sample papers in your Financial Mathematics preparation strategy and ace the exam later on.

Also, it should be noted that while Solving Practise Papers, it is recommended that you clock yourself and make your surrounding examination hall like. You are advised to imitate examination hall decorum while giving your mock papers/ Sample papers.

It will not only create the closest virtual exam environment. But also help you keep a calm and composed head during the actual Class 12 CBSE Maths Board Exam.


How do I deal with exam related stress?

Acknowledge your negative thoughts. Process them. Reason with them. You'll realise how unrealistic they are. Challenge the thoughts that say you are a failure and you can't succeed. Remind yourself that it is just an exam and you have self-promises to keep and miles to go before you sleep.

What if I do badly?

So, you do badly. That’s it. But it is not the end of the world. People make mistakes, sometimes, even blunders, but that doesn’t make them less of people. Learn from your mistakes and use them as guiding light for your next exam.

How to attempt Sample papers?

Set a timer. Keep all your stationery with you. Do not leave your desk until the timer stops. Answer each and every question as guided. Ask your folks not to disturb you while you are giving the exam. Do not exceed the timer. Do not cheat. Do not take help from books.

How to analyse Sample paper Performance?

Consider yourself a teacher while analyzing your Financial mathematics Sample papers. Check each and every step. Do not assume anything. If something is missing in the solution, or something is not as clear as it should be, penalise yourself for that. Calculate the total marks and reduce 10% against exam related frenzy.

Additionally, Divide the topics asked into three lists of Stronghold, Territorial, and Alien. Strongholds would be the ones you are best at and no question can steal marks away from you in these topics. Territorial would be a list of topics that you are good at but still has room for improvement. Alien topics would be the list of topics that are totally new to you and you never know how to begin in questions from these topics.

What if I don't get the marks I'm expecting?

It is okay. You know what your stronghold, territorial and alien subjects are. Make a realistic expectation of how you should be performing in the tests. And keep updating that list on the basis of your performance.

How do I deal with my family's disappointment if my results are not good?

Remember. This is your exam. The person that is most affected by the result is you. What matters is how you feel about your result and performance. When it comes to family, everything becomes dramatic, no doubt. What you can do is; Be open and honest with them. Converse your feelings about the result and what you think went wrong, if any did. Reassure them of your concerns and efforts. Most importantly, Don’t have any negative bias against your parents because sometimes people need just a little more reassurance.

How can I inculcate a positive attitude towards the future when I feel so scared?

  • Don’t keep on thinking about the future.
  • Believe in yourself.
  • Try to put your best effort.
  • Learn from your previous experience papers and work more on your weak areas.
  • Always remember that no one can see the future but what you can do is, prepare best for tomorrow.