How to Pass the CBSE Maths Compartment Exam in 10 Day

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Author at PW

February 05, 2025

How to Pass the CBSE Maths Compartment Exam in 10 day:- Passing the CBSE Maths Compartment Exam in 10 days requires a focused and structured approach. Here’s a detailed guide covering the important topics, syllabus, and example questions to help you prepare effectively.

How to Pass the CBSE Maths Compartment Exam in 10 day

Check out the details on how to pass the CBSE maths compartment exam in 10 day below:-

Day 1-2: Understand the Syllabus and Identify Weak Areas

Syllabus Overview

The CBSE Class 12 Maths syllabus is divided into six units:

Relations and Functions

Relations and Functions: Types of relations, equivalence relations, functions, and their types.
Inverse Trigonometric Functions: Definition, range, domain, principal value branch.

Algebra

Matrices: Types of matrices, operations on matrices, transpose of a matrix, symmetric and skew-symmetric matrices.
Determinants: Properties of determinants, applications of determinants in finding the area of a triangle, minors, cofactors, and applications in solving linear equations.

Calculus

Continuity and Differentiability: Continuity, differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, concept of exponential and logarithmic functions.
Applications of Derivatives: Rate of change of quantities, increasing/decreasing functions, tangents and normals, approximation.
Integrals: Integration as an inverse process of differentiation, methods of integration, integration by substitution, integration by partial fractions, integration by parts.
Applications of Integrals: Area under simple curves, an area between two curves.
Differential Equations: Definition, order and degree, general and particular solutions, formation of the differential equation.

Vectors and Three-Dimensional Geometry

Vectors: Vectors and scalars, addition of vectors, multiplication of a vector by a scalar, scalar (dot) product of vectors, vector (cross) product of vectors.
Three-Dimensional Geometry: Direction cosines and direction ratios, equation of a line, shortest distance between two lines, equation of a plane, angle between two lines, angle between two planes.

Linear Programming

Linear Programming: Introduction, related terminology such as constraints, objective function, optimization, and different types of linear programming problems.

Probability

Probability: Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes' theorem, random variables, and its probability distribution.

Day 3-4: Strengthen Core Concepts

Focus on Fundamental Chapters

Calculus: This is the most crucial part of the syllabus and often carries the highest weight in the exam.
Limits and Derivatives: Ensure you understand how to find the limit of a function and the derivative rules.
Integrals: Practice different methods of integration such as substitution, partial fractions, and integration by parts.
Differential Equations: Focus on forming and solving differential equations, which is a vital part of the syllabus.
Applications of Derivatives and Integrals: Study the applications thoroughly, as these topics often feature in complex, multi-step problems.

Check out: CBSE Class 10th Previous Year Papers

Algebra

Matrices and Determinants: These are scoring topics if your concepts are clear. Practice operations on matrices and properties of determinants.
Complex Numbers and Quadratic Equations: Ensure you understand the basics of complex numbers and how to solve quadratic equations using different methods.

Probability

Conditional Probability and Bayes’ Theorem: These topics are crucial for solving probability problems. Make sure you practice various problems to understand their applications.
Probability Distributions: Understand the concept of random variables and how to work with probability distributions.

Study Techniques

Conceptual Understanding: Use NCERT textbooks to clear your concepts. These books are specifically designed to help students understand the fundamental principles.

Video Tutorials: Use online resources like Khan Academy or YouTube for visual explanations. Sometimes, a different teaching approach can help clarify complex concepts.

Day 5-6: Practice Problems and Previous Year Papers

Example Questions

Calculus: Find the area enclosed between the curves y = x² and y = x + 2. This problem involves setting up the integral correctly and finding the points of intersection of the curves.
Algebra: If A and B are square matrices of the same order, show that (A + B)² = A² + 2AB + B². This involves understanding the properties of matrix addition and multiplication.
Probability: A bag contains 5 red and 3 green balls. Two balls are drawn at random. Find the probability that they are of the same colour. This requires you to understand and apply the basic principles of probability.

Day 7-8: Revise Important Formulas and Theorems

Formulas and Theorems

Calculus

Derivative Formulas: Review formulas for derivatives of standard functions such as polynomials, trigonometric functions, exponential functions, and logarithmic functions.
Integral Formulas: Understand different integration techniques including substitution, by parts, and partial fractions. Practice applying these techniques to solve integrals.
Mean Value Theorem: Understand the conditions under which the Mean Value Theorem applies and how to use it to solve problems related to rates of change.
Rolle's Theorem: Know the conditions and implications of Rolle's Theorem, especially in the context of differentiable functions.

Algebra

Properties of Determinants: Revise properties such as scalar multiplication of determinants, row operations, and their applications in solving systems of linear equations.
Matrix Operations: Practice matrix addition, subtraction, multiplication, and inversion. Understand how to find the transpose and determinant of matrices.
Eigenvalues and Eigenvectors: Know the definition and properties of eigenvalues and eigenvectors. Practice finding eigenvalues and eigenvectors for given matrices.

Probability

Bayes' Theorem: Understand the concept of conditional probability and how Bayes' Theorem can be used to update probabilities based on new information.
Probability Distributions: Review different types of probability distributions such as binomial, normal, and Poisson distributions. Know their properties and applications in real-life scenarios.

Check Out: Class 12th Sample Papers

Day 9: Mock Tests and Time Management

Mock Tests

Simulate Exam Conditions: Take at least two full-length mock tests under timed conditions to simulate the exam environment. This practice helps in familiarizing yourself with the format and pressure of the exam.
Analysing Performance: After each mock test, carefully review your answers and identify areas where you made mistakes or struggled. Pay attention to time management and pacing.

Time Management

Section-wise Allocation: Plan how much time you will allocate to each section of the exam. Adjust your time allocation based on the weightage of each section and your comfort level with the topics.
Prioritise Questions: Start with questions you find easier or are more confident about. This strategy can help build momentum and boost your confidence as you tackle more challenging questions later.

Day 10: Last Minute Tips and Relaxation

Analyse Previous Performance: Go through your previous exam papers to identify the topics you struggled with. Look at your mistakes and understand why you made them.
Final Revision: Use this day for a final revision of key concepts, formulas, and important points. Focus on consolidating your understanding rather than trying to learn new topics.
Avoid Stress: Minimise stress by staying organised and confident in your preparation. Trust in the effort you've put in during the past few days.
Stay Positive: Maintain a positive attitude and believe in your abilities. Positive thinking can enhance performance and reduce exam anxiety.

How to Pass the CBSE Maths Compartment Exam in 10 Day FAQs

1. Can I pass the CBSE Maths Compartment Exam in just 10 days?

Ans. Yes, it's possible with a focused and structured study plan. Allocate time wisely, focus on high-weightage topics, and practice extensively.

2. Which topics should I prioritize during these 10 days?

Ans. Focus on high-scoring topics like Calculus (including differentiation and integration), Algebra (matrices, determinants), and Probability. These topics often carry more weight in exams.

3. How should I manage my time effectively during the 10-day preparation period?

Ans. Divide your time wisely between studying core concepts, practising problems, taking mock tests, and revising. Allocate more time to challenging topics while ensuring coverage of all syllabus areas.

4. What resources should I use for studying?

Ans. Use NCERT textbooks as the primary resource for understanding concepts. Supplement your study with reference books like RD Sharma or RS Aggarwal for additional practice. Online platforms like Khan Academy can also provide useful video tutorials.

5. How many hours a day should I study for the exam?

Ans. Aim for at least 6-8 hours of focused study per day. Break down your study sessions into manageable blocks with short breaks in between to maintain concentration.