Welcome to the Class 12 Maths Syllabus and Marking Scheme page. This page provides a comprehensive guide to the syllabus, paper design, marking scheme, and chapter-wise weightage for the matematics subject. Understanding the syllabus and exam pattern is essential for effective preparation. Here, you’ll find detailed insights into the structure of the maths paper, including important topics, weightage distribution, and exam preparation strategies.
Class XII Mathematics Syllabus and Marking Scheme
|
Class |
Subject Code |
Subject Name |
Theory Marks |
Time (h) |
Internal Assessments Marks |
Total Marks |
Group |
|
12 |
41 |
Mathematics |
80 |
3 |
20 |
100 |
Group A1 |
The Class 12 Mathematics syllabus is designed to build a strong foundation in advanced mathematical concepts and problem-solving techniques. This syllabus aims to enhance your analytical thinking and logical reasoning skills, preparing you for higher education and competitive exams. The syllabus is divided into various chapters, covering essential topics such as Calculus, Algebra, Vectors, and Probability. Each chapter focuses on key concepts and learning outcomes that will help you excel in your exams and further studies in mathematics, engineering, and related fields.
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Class XII Mathematics Syllabus & Marking Scheme (2024-25) |
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|
Unit |
Unit Name |
Chapter |
Topics |
Marks |
Weightage |
|
I |
Relations and Functions |
Sets |
Sets and their representations, empty set, finite and infinite sets, subsets, universal set, Venn diagrams, union, intersection, and difference of sets, complement, properties of complement. |
8 |
10.00% |
|
Relations & Functions |
Ordered pairs, Cartesian product of sets, relations, functions, domain, co-domain, range, real-valued functions (constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, greatest integer), graphs. |
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|
Trigonometric Functions |
Positive and negative angles, radians and degrees, trigonometric identities, domain and range, sum and difference identities, multiple and submultiple angles, graphs of trigonometric functions, identities related to sin, cos, and tan. |
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|
II |
Algebra |
Complex Numbers and Quadratic Equations |
Positive and negative angles, radians and degrees, trigonometric identities, domain and range, sum and difference identities, multiple and submultiple angles, graphs of trigonometric functions, identities related to sin, cos, and tan. |
10 |
12.50% |
|
Linear Inequalities |
Linear inequalities in one variable, algebraic solutions, representation on the number line. |
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|
Permutations and Combinations |
Fundamental principle of counting, factorial, permutations (nPr) and combinations (nCr), applications. |
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|
Binomial Theorem |
Statement and proof for positive integral indices, Pascal’s triangle, applications. |
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|
Sequence and Series |
Arithmetic Mean (A.M.), Geometric Progression (G.P.), sum of n terms, infinite G.P., relation between A.M. and G.M. |
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|
III |
Vectors and Three-Dimensional Geometry |
Vectors |
Vectors, scalars, direction cosines/ratios, vector types, position vector, vector addition, dot & cross product. |
14 |
17.50% |
|
3D Geometry |
Direction cosines/ratios of lines, Cartesian & vector equations, skew lines, shortest distance, angle between lines. |
||||
|
IV |
Calculus |
Limits and Derivatives |
Intuitive concept of limits, limits of polynomials, rational, trigonometric, exponential, and logarithmic functions, derivatives as rate of change, slope of tangents, derivatives of sum, difference, product, and quotient of functions. |
35 |
43.75% |
|
V |
Linear programming |
Linear Programming |
introduction,related terminologies such as constraints,objective function,optimization,graphical method of solution for two variables,feasibles and unfeasibles regions,optimal feasibles solutions |
5 |
6.25% |
|
VI |
Statistics and Probability |
Statistics |
Measures of dispersion: range, mean deviation, variance, standard deviation of ungrouped and grouped data. |
8 |
10.00% |
|
Probability |
Events, axiomatic probability, mutually exclusive events, probability of ‘not’, ‘and’, and ‘or’ events. |
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|
Total |
80 |
100.00% |
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The marking scheme provides a breakdown of the marks allocated to each chapter. This allows students to prioritize high-weightage topics and effectively allocate their study time. Here’s the chapter-wise weightage for Class 12 Mathematics.
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Class XII Mathematics Marking Scheme & Chapter-wise Weightage (2024-25) |
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|
UNIT |
Units |
Chapter |
Marks |
Weightage |
|
I |
Relations and Functions |
- Sets |
8 |
10.00% |
|
- Relations & Functions |
||||
|
- Trigonometric Functions |
||||
|
II |
Algebra |
- Complex Numbers and Quadratic Equations |
10 |
12.50% |
|
- Linear Inequalities |
||||
|
- Permutations and Combinations |
||||
|
- Binomial Theorem |
||||
|
- Sequence and Series |
||||
|
III |
Calculus |
- Limits and Derivatives |
35 |
43.75% |
|
IV |
Vectors and Three-Dimensional Geometry |
- Vectors |
14 |
17.50% |
|
- 3D Geometry |
||||
|
V |
Linear Programming |
- Linear Programming |
5 |
6.25% |
|
VI |
Probability |
- Statistics |
8 |
10.00% |
|
- Probability |
||||
|
Total |
80 |
|||
|
Internal Assessment |
20 |
|||
The exam pattern for Class 12 Mathematics includes a mix of objective, subjective, and analytical questions. Understanding the exam pattern helps students focus on the structure of the exam, including the types of questions, marks distribution, and time allocation. Here’s an overview of the question format and total marks.
|
Paper pattern for class XII |
|||
|
Type of Questions |
No. of Questions |
Marks Per Question |
Total Marks |
|
MCQ |
20 |
1 |
20 |
|
Very short answer type |
5 |
2 |
10 |
|
short answer type |
6 |
3 |
18 |
|
case based questions |
3 |
4 |
12 |
|
long answer type |
4 |
5 |
20 |
|
Total Questions |
38 |
80 |
|
Here is the latest paper design of class 12th mathematics subject.
|
Paper pattern for class XII |
|||
|
Type of Questions |
No. of Questions |
Marks Per Question |
Total Marks |
|
MCQ |
20 |
1 |
20 |
|
Very short answer type |
5 |
2 |
10 |
|
short answer type |
6 |
3 |
18 |
|
case based questions |
3 |
4 |
12 |
|
long answer type |
4 |
5 |
20 |
|
Total Questions |
38 |
80 |
|
Preparing for the Class 12 Math exam requires a strategic approach, a strong foundation in concepts, and consistent practice. Here are some effective tips to help you excel in your Math exam:
Understand the Syllabus: Start by thoroughly reviewing the syllabus. Identify the topics covered and their weightage. This will help you prioritize important chapters and allocate your time wisely.
Create a Study Schedule: Break down the syllabus into manageable parts and set a study schedule. Dedicate time to each topic according to its difficulty level and importance. Make sure to include regular breaks to avoid burnout.
Focus on Concepts: Math is a subject that requires a solid understanding of concepts. Make sure you fully understand the fundamentals of each chapter before moving on to advanced problems. Concepts like algebra, geometry, trigonometry, and statistics form the core of the Class 12 syllabus and should be mastered thoroughly.
Practice Regularly: Practice is key to mastering Math. Solve as many problems as possible from each topic, especially for areas where you feel less confident. Use your textbook, reference books, and sample papers to cover a variety of problems.
Solve Previous Years’ Papers: Working on previous years' question papers and sample papers can give you an idea of the exam pattern, types of questions, and time management. This helps in building confidence and reduces anxiety during the actual exam.
Focus on High-Weightage Topics: Identify high-weightage topics from the syllabus and ensure you are well-prepared for them. Topics like Algebra, Trigonometry, and Geometry often carry more marks, so mastering these can boost your overall score.
Revise Regularly: Set aside time for regular revision. Go over key formulas, theorems, and concepts. Create summary notes or flashcards to help with last-minute revisions.
Work on Time Management: During practice, time yourself for each problem. This helps improve speed and accuracy, which are essential during the exam. Ensure you can complete the paper within the given time limit.
Seek Help if Needed: Don’t hesitate to seek help from teachers, friends, or online resources if you have difficulty with any topic. Clearing your doubts is crucial for a better understanding.
Stay Positive and Confident: Lastly, believe in yourself and maintain a positive attitude. Regular practice, disciplined study habits, and confidence will help you succeed in your Class 12 Math exam.
Understanding the syllabus and marking scheme of Class 12 Mathematics is essential for effective exam preparation. Here are the benefits:
Structured Preparation: The syllabus gives a clear outline of the topics and concepts that need to be studied. This allows students to plan their study sessions systematically, ensuring that they cover all topics thoroughly.
Focus on Important Topics: By knowing the marking scheme, students can identify high-weightage topics. This helps them allocate more time and effort to areas that are likely to have a significant impact on their final score.
Efficient Time Management: The syllabus and marking scheme provide insights into the length and complexity of each section, allowing students to manage their time more effectively during preparation and in the exam.
Builds Confidence: Familiarity with the syllabus and marking scheme reduces uncertainty and boosts confidence. Students are better prepared, knowing exactly what to expect in the exam and which topics to prioritize.
Improves Accuracy and Performance: By focusing on topics with higher weightage and practicing according to the marking scheme, students can improve their accuracy and overall performance in the exam. It ensures a more targeted approach, which leads to better results.
Reduces Exam Anxiety: When students know the syllabus and marking scheme, they feel more in control and less anxious. This reduces exam stress and enables them to approach the paper calmly and confidently.
Enhanced Revision: Understanding the syllabus and marking scheme helps students create a focused revision plan. They can concentrate on essential topics and avoid wasting time on less important areas.
In conclusion, knowing the syllabus and marking scheme of Class 12 Mathematics provides a roadmap for effective preparation. It enables students to organize their study sessions, focus on high-yield areas, and approach the exam with confidence. By strategically utilizing the syllabus and marking scheme, students can achieve their academic goals and excel in the Math exam.