CBSE Class 12 Numerical Applications 2025 (Applied Mathematics)

Overview: Discover everything about CBSE Class 12 Numerical Applications, including essential topics like calculus and set theory. This article provides a comprehensive guide to the syllabus, exam importance, study materials, and preparation tips to help students excel in their board exams.

CBSE board has introduced a new topic named Applied Mathematics to help create and progress your mathematical skills and techniques. Numerical mathematics is one of the chapters in the syllabus of Class 12 Applied Mathematics.

The aim of the Numerical Applications 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.

This article takes you through detailed information about CBSE Class 12 Numerical Applications.

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What is Numerical Application in CBSE Class 12 Applied Maths?

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 that deal with 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 that you have already covered such as Set Theory, Venn Diagram. It also consists of some sections that will be new for 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.

CBSE Class 12 Numerical Applications Syllabus

To excel in the upcoming board exams, it is very important to understand the depth of Numerical Applications in CBSE Class 12 Maths. 

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 detailed CBSE Class 12 Numerical Applications Topics 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

Download official CBSE Class 12 Applied Mathematics Syllabus 2025

CBSE Class 12 Numerical Application Weightage

Numerical Applications have become a crucial part of the Class 12 Applied Mathematics Curriculum. It is among the most important topics asked in the CBSE Class 12 Board Exams.

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. 

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

What to Expect from Numerical Applications in CBSE Class 12 Exam?

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

Since the Numerical Applications topic 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. 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 Material for Numerical Applications

Study Materials that include CBSE Class 12 Numerical Applications Notes, text Books, and reference books are the best sources to start your preparation in a better way. You should always prefer books with a clear and neat approach to important theorems and formulae for subjects such as Maths. 

You can refer to the following books while preparing the CBSE 12 Maths Numerical Applications.

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

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Preparation 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. 

Take note of the following important pointers that you must keep in mind while preparing for CBSE Class 12 Numerical Applications.

The syllabus is your Guiding Light

• 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

• 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. 

Solve a Reference Book

• This holds true for Calculus especially. You can always refer 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

• Solving previous year's papers will help improve your time management skills and learn short tricks to answer tricky questions. Also, they will help you with the exam pattern and trends of questions asked in the examination. 

Avoid Calculators

• Always prefer to solve sums on your own. 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.

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Sample Questions for Numerical Applications

These are different types of questions that 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.

Sample Question Papers for Numerical Applications

Solving sample papers will help you better understand the type of questions and the difficulty level. To help enhance your preparation, we have provided a few sample question papers here.

Download CBSE Class 12 Numerical Applications Sample Question Paper

Key Takeaways:

• Syllabus Highlights: The chapter covers key topics like Calculus, Integration, and Set Theory, crucial for board exam success.
• Exam Importance: Numerical Applications contribute 11.25% of the total marks, with a significant focus on Calculus.
• Recommended Study Materials: Books like "Integral Calculus" by Arab Chakraborty are suggested for deeper understanding.
• Preparation Tips: Stick to the syllabus, focus on solved examples, practice past papers, and avoid calculators to improve calculation skills.
• Practice Questions: Solving sample questions and papers helps understand the exam pattern and question types.