CBSE Class 12 Applied Mathematics Syllabus 2025-26

CBSE Class 12 Applied Mathematics Syllabus 2025-26

REAL NUMBER – (15) Periods

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of Root 2, 3 & 5

CBSE Class 12 Applied Mathematics Syllabus 2025-26

1. POLYNOMIALS – (8) Periods
   Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
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2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES – (15) Periods
   Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.
3. QUADRATIC EQUATIONS – (15) Periods
   Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.
4. ARITHMETIC PROGRESSIONS – (10) Periods
   Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first nth terms of A.P. and their application in solving daily life problems.

CBSE Class 12 Applied Mathematics Syllabus 2025-26

Coordinate Geometry – (15) PeriodsReview: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

CBSE Class 12 Applied Mathematics Syllabus 2025-26

1. TRIANGLES – (15) Periods
   Definitions, examples, counter examples of similar triangles.

1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
6. CIRCLES – (10) Periods
   Tangent to a circle at, point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

CBSE Class 12 Applied Mathematics Syllabus 2025-26

1. INTRODUCTION TO TRIGONOMETRY – (10) Periods
   Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios whichever are defined at 0o and 90o. Values of the trigonometric ratios of 30°, 45°, and 60°.. Relationships between the ratios.

2. TRIGONOMETRIC IDENTITIES – (15) Periods
   Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.

2. HEIGHTS AND DISTANCES: Angle of elevation, Angle of Depression. (10) Periods
   Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation / depression should be only 30°, 45°, and 60°.

CBSE Class 12 Applied Mathematics Syllabus 2025-26

1. AREAS RELATED TO CIRCLES – (12) Periods
   Area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures. (In calculating area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 120° only.
2. SURFACE AREAS AND VOLUMES – (12) Periods
   Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

CBSE Class 12 Applied Mathematics Syllabus 2025-26

1. STATISTICS – (18) Periods
   Mean, median and mode of grouped data (bimodal situation to be avoided).
2. PROBABILITY – (10) Periods
   Classical definition of probability. Simple problems on finding the probability of an event

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CBSE Class 12 Applied Mathematics Syllabus 2025-26

 CBSE class 12 applied mathematics syllabus has been modified and updated and the program assists students in applying critical knowledge to solve everyday problems. Knowledge about Index Numbers and Time-based data and Calculus are a few vital parts of the syllabus. 

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The suggested class 12 applied  mathematics syllabus covers a wide range of topics and various concepts which are needed as an individual in today's world and ideas that are necessary for a student's overall growth such as Financial Mathematics and  Linear Programming.

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Cbse Class 12 Applied Mathematics Syllabus Objective

The CBSE Class 12 Applied Mathematics syllabus is designed to provide students with practical mathematical skills that are applicable in real-life scenarios. The syllabus integrates theoretical learning with application-based exercises, helping students connect mathematical concepts to real-world situations. It includes topics such as calculus, linear algebra, probability, and vector algebra, with a focus on their practical implementation. The Applied Mathematics class 12 syllabus aims to prepare students for the CBSE board exam by building strong foundational knowledge and honing problem-solving skills, ensuring a comprehensive understanding of the subject.

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Why refer to CBSE Class 12 Applied Mathematics Syllabus?

1. Complete Alignment with CBSE Board Exam
   The CBSE Class 12 Applied Mathematics syllabus is aligned with the CBSE board exam format, ensuring that students are studying the exact topics and concepts required for the exam. This direct alignment makes exam preparation more focused and effective.
2. Real-World Applications of Mathematical Concepts
   The Applied Mathematics class 12 syllabus emphasizes the practical application of mathematical principles. This makes it particularly valuable for students aiming to understand how mathematics is used in everyday life and professional fields like engineering, economics, and data analysis.
3. Guided Preparation with NCERT Books
   NCERT books are the best resources for studying the Syllabus for class 12 Applied Mathematics. These books cover all the required topics in a clear, structured, and comprehensive manner, helping students build a strong conceptual foundation for the CBSE board exam.
4. Focus on Key Areas with Important Question Papers
   Referring to important question papers from previous years helps students get a better understanding of the types of questions commonly asked in the CBSE board exam. These papers guide students to focus on recurring topics, ensuring efficient revision and better exam preparation.
5. Efficient Revision with CBSE Sample Papers
   Practicing CBSE sample papers aligned with the Applied Mathematics class 12 syllabus allows students to familiarize themselves with the exam pattern and manage time effectively during the actual CBSE board exam.
6. Helps in Building Problem-Solving Skills
   The Syllabus for class 12 Applied Mathematics includes complex problem-solving exercises that enhance critical thinking and analytical skills. This strengthens a student's ability to solve mathematical problems quickly and accurately, a crucial skill for the CBSE board exam.
7. Organized Notes for Better Retention
   Creating detailed notes from the CBSE Class 12 Applied Mathematics syllabus ensures that students have quick access to key concepts and formulas for revision. Well-organized notes help with better retention and recall during exams.
8. Prepares for Both Theory and Practical Assessments
   The Applied Mathematics class 12 syllabus incorporates both theory and application-based assessments. By following the syllabus, students can prepare for all aspects of the exam, including practical problems that test their ability to apply mathematical concepts in real-world contexts.