Welcome to the Class 10 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 X English Syllabus and Marking Scheme
|
Class |
Subject Code |
Subject Name |
Theory Marks |
Time (h) |
Internal Assessments Marks |
Total Marks |
Group |
|
10 |
41 |
Mathematics Standard |
80 |
3 |
20 |
100 |
Group A1 |
The Class X Mathematics syllabus is designed to build a strong foundation in mathematical concepts that are essential for higher studies and real-life applications. The syllabus is divided into key areas, such as Algebra, Geometry, Trigonometry, Mensuration, Statistics, and Probability. Each section explores fundamental concepts and offers a range of problem-solving exercises that encourage logical thinking and analytical skills. Algebra covers topics like linear equations and quadratic equations, providing the basics of algebraic manipulations and their applications. Geometry delves into shapes, theorems, and proofs, allowing students to understand spatial relationships and properties. Trigonometry focuses on angles and their relationships, which are crucial for measuring distances and heights. Mensuration involves calculating areas and volumes of different shapes, while Statistics and Probability equip students with data analysis skills and the basics of probability theory.
Overall, the Class X Mathematics syllabus aims to foster critical thinking, enhance problem-solving abilities, and prepare students for future academic and competitive pursuits.
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Class X Maths Syllabus & Marking Scheme - (Board Exams ) |
||||
|
Units |
Unit Name |
Chapters & Topics |
Marks |
Weightage |
|
I |
NUMBER SYSTEMS |
Real Numbers : Fundamental Theorem of Arithmetic, proofs of irrationality |
6 |
7.50% |
|
II |
ALGEBRA |
Polynomials : Zeros of polynomials, relationship between zeros and coefficients of quadratic polynomials |
20 |
25.00% |
|
Pair of Linear Equations in Two Variables : Graphical and algebraic solutions, consistency/inconsistency, substitution and elimination methods |
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|
Quadratic Equations :Solving quadratic equations by factorization and quadratic formula, discriminant and nature of roots |
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|
Arithmetic Progressions : nth term and sum of n terms, solving real-life problems |
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|
III |
COORDINATE GEOMETRY |
Coordinate Geometry:Review of concepts, distance formula, section formula (internal division) |
6 |
7.50% |
|
IV |
GEOMETRY |
Triangles : Similar triangles, proportionality of sides and angles, parallel lines dividing triangles in ratio |
15 |
18.75% |
|
Circles :Tangent to a circle, properties of tangents, perpendicularity of tangents to radii |
||||
|
V |
TRIGONOMETRY |
Introduction to Trigonometry : Trigonometric ratios, values for specific angles (30°, 45°, 60°), relationships between ratios |
12 |
15.00% |
|
Trigonometric Identities : Proof and applications of sin²A + cos²A = 1 |
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|
Heights and Distances : Angle of elevation/depression, simple problems involving right triangles with angles 30°, 45°, 60° |
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|
VI |
MENSURATION |
Areas Related to Circles : Area and perimeter of sectors, segments with specific angles (60°, 90°, 120°) |
10 |
12.50% |
|
Surface Areas and Volumes : Surface areas and volumes of combinations of cubes, cuboids, spheres, hemispheres, cylinders, cones |
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|
VII |
STATISTICS AND PROBABILITY |
Statistics : Mean, median, mode of grouped data (excluding bimodal situations) |
11 |
13.75% |
|
Probability : Classical definition of probability, basic probability problems |
||||
|
Total |
80 |
100% |
||
|
Internal assessment |
20 |
|||
|
Grand Total |
100 |
|||
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 10 Mathematics.
|
Class X Maths Marking Scheme & Chapter-wise Weightage () |
||||
|
Units |
Unit Name |
Chapter Name |
Marks |
Weightage |
|
I |
NUMBER SYSTEMS |
Real Numbers |
6 |
7.50% |
|
II |
ALGEBRA |
Polynomials |
20 |
25.00% |
|
Pair of Linear Equations in Two Variables |
||||
|
Quadratic Equations |
||||
|
Arithmetic Progressions |
||||
|
III |
COORDINATE GEOMETRY |
Coordinate Geometry |
6 |
7.50% |
|
IV |
GEOMETRY |
Triangles |
15 |
18.75% |
|
Circles |
||||
|
V |
TRIGONOMETRY |
Introduction to Trigonometry |
12 |
15.00% |
|
Some Applications of Trigonometry |
||||
|
Constructions |
||||
|
VI |
MENSURATION |
Areas Related to Circles |
10 |
12.50% |
|
Surface Areas and Volumes |
||||
|
VII |
STATISTICS AND PROBABILITY |
Statistics |
11 |
13.75% |
|
Probability |
||||
|
Total |
80 |
100% |
||
|
Internal assessment |
20 |
|||
|
Grand Total |
100 |
|||
The exam pattern for Class 10 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.
|
Exam Pattern For Class x Mathematics |
|||
|
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 |
38 |
80 |
|
Here is the latest paper design of class 10th mathematics subject.
|
Exam Pattern For Class x Mathematics |
|||
|
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 |
38 |
80 |
|
Preparing for the Class 10 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 10 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 10 Math exam.
Understanding the syllabus and marking scheme of Class 10 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 10 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.