## Latest CBSE 2024-25 Mathematics Syllabus for Class 12

The CBSE Math Class 12 syllabus is essential for students preparing for their examinations. It outlines the lessons students will be taught in maths during the school year. All of the topics and their corresponding subtopics are listed in the syllabus. Students must adhere to this curriculum during their preparation since it serves as the foundation for the questions in the board examinations. It is advised to students to adhere to the Maths curriculum for Class 12 as it increases their test scores for the CBSE Class 12 examination.

Syllabus for the 2024-25 academic year was released and we were prompt about prediction of the changes. Below, we have provided you with a simple analysis of Class 12 Mathematics Syllabus below, along with:

• Competency Focus -> what is new
• Detailed analysis -> blueprint of all units & chapters

Latest Class 12 Math Syllabus 2024-25

2023-24 Class 12 Math Syllabus

(for reference purposes)

Preparing to complete the Class XII Maths Syllabus is time-consuming and requires lots of practice. For effective time management and syllabus completion, students can combine the Class 12 Math syllabus with the CBSE Class 12 Physical Education or Computer Science using the Physical Education or Computer Science Syllabus.

COMPETENCY-BASED QUESTION PAPER DESIGN
S. No. Bloom Typologies (as per NEP 2023) Total %
1 Easy difficulty level:
Demonstrate Knowledge | Understanding
55%
2 Medium difficulty level:
Application-based
25%
3 Hard difficulty level:
Analysis | Evaluate | Create
20%
TOTAL 100%

CLASS 12 MATHEMATICS BLUEPRINT 2024
Units Unit Name Marks
I Relations and Functions 08
II Algebra 10
III Calculus 35
IV Vectors and Three - Dimensional Geometry 14
V Linear Programming 05
VI Probability 08
INTERNAL ASSESSMENT
Periodic Tests (10) + Mathematics Activities (10)
20
TOTAL 100

## Unit-wise Class XII Mathematics Syllabus Breakdown

### Unit I: Number Systems

Chapter 1 Real Number

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, and √5.

### Unit II: Algebra

Chapter 2 Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

Chapter 3 Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency.

Algebraic conditions for a number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination. Simple situational problems.

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 formulas. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities are to be incorporated.

Chapter 5 Arithmetic Progressions

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

### Unit III: Coordinate Geometry

Chapter 6 Coordinate Geometry

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

### Unit IV: Geometry

Chapter 7 Triangles

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.

Chapter 10 Circles

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.

### Unit V: Trigonometry

Chapter 8 Introduction to Trigonometry

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

Chapter 8 Trigonometry Identities

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities are to be given.

Chapter 9 Heights and Distances, Angle of Elevation, and Angle of Depression

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°.

### Unit VI: Mensuration

Chapter 11 Areas Related to Circle

Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only.

Chapter 12 Surface Areas and Volumes

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

### Unit VII: Statistics and Probability

Chapter 13 Statistics

Mean, median and mode of grouped data (bimodal situation to be avoided).

Chapter 14 Probability

Classical definition of probability. Simple problems in finding the probability of an event.

## Importance of Class 12th Syllabus Math 2024-25

The 2024 CBSE Class 12 Maths Syllabus has significance for several reasons.

Enhances Critical Thinking Skills: Solving problems and using reasoning are key components of maths. Students can improve their capacity to evaluate and solve challenging problems—an essential skill in any field—by studying this Class 12 Syllabus Maths NCERT.

Prepares for Higher Education: A solid foundation in mathematics is necessary for many programs in higher education, particularly those in engineering, science, and finance. The fundamental ideas and methods that students will come across in their college studies are covered in the CBSE Class 12 Maths Syllabus.

Offers Career Opportunities: Maths proficiency is essential for jobs in engineering, finance, data analysis, and other areas. Students who adhere to the CBSE Class 12 Maths Syllabus may find their employment opportunities expanded and their skill set increased.

Builds Solid Foundations: The curriculum includes an extensive variety of topics and perspectives that prepare students for higher-level maths coursework. Students who grasp these foundational concepts are better equipped to handle more difficult content later on.

Better Comprehending of the World: We use maths in our everyday lives for everything from understanding patterns to calculating distances. Students who study the Class 12 Maths Syllabus CBSE 2024 can make better judgments and have a greater understanding of the world around them.

## How to Prepare for CBSE Class 12 Math Exam 2025

Understand the syllabus

To become familiar with all of the topics and concepts, carefully go over the CBSE Class 12 Maths Syllabus. Make sure you understand all the content that will be evaluated.

Consistent Practice

Set aside time on a regular basis to practice problem-solving and completing assignments. To improve abilities and grasp mathematical ideas, practice is essential.

Find Reliable Study Material

Investigate instructional videos, online classes, and practice examinations in addition to CBSE Class 12 Syllabus Mathematics NCERT. Various sources offer a range of viewpoints, which broadens your comprehension.

When you practice, pay special attention to your mistakes. Determine your weak points and concentrate on them throughout the study sessions.

Get Assistance When Needed:

Never be afraid to seek assistance if you're having trouble with something in particular. Seek an explanation by getting in touch with your tutor, or teacher, or joining a study group.

Establish a Study Timetable

Make a study plan to help you stay organized while you prepare. Take pauses to maintain concentration and prevent burnout. Make sure your timetable is in line with your objectives and permits consistent advancement. You may increase your chances of success, establish a solid foundation in the subject, and study for your CBSE Class 12 Math examinations by following these steps.

For Indian students, the CBSE Class 12th Math Syllabus is an essential part of their education and is available for the academic year 2024-25. With a focus on building a strong foundation in mathematics, the curriculum is designed to get students ready for college and beyond. Students who thoroughly understand the complexities of the CBSE Class 12 math syllabus are better equipped to develop critical thinking, analytical, and problem-solving skills, which are necessary for success in a variety of disciplines. Students may succeed in the topic and set themselves up for success in the classroom and in their chosen fields by practising consistently and studying hard.

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