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RD Sharma Solutions for Class 6 to 12 Maths
The RD Sharma Solutions for Class 6 to 12 Maths provide step-by-step explanations to help students understand mathematical concepts, solve difficult questions, and improve their problem-solving skills. These solutions are useful for school exams, CBSE board preparation, mathematics practice, Olympiad preparation, and JEE Foundation.
Students from the UAE, Saudi Arabia, Qatar, Kuwait, Oman, Bahrain, and other Middle East countries can use RD Sharma alongside NCERT and their school curriculum for additional mathematics practice. With consistent practice, students can strengthen their fundamentals and gradually move towards higher-level JEE Mathematics.
| Class | Best For | Major Focus Areas | Download |
|---|---|---|---|
| Class 6 | Building Maths Foundation | Numbers, Fractions, Decimals, Geometry, Mensuration | Download Now |
| Class 7 | Strengthening Basics | Integers, Rational Numbers, Ratio, Proportion, Mensuration | Download Now |
| Class 8 | Pre-Foundation Level | Algebra, Equations, Factorization, Graphs, Mensuration | Download Now |
| Class 9 | High School Foundation | Polynomials, Number Systems, Geometry, Coordinate Geometry, Probability | Download Now |
| Class 10 | Board + JEE Foundation | Quadratic Equations, Trigonometry, Circles, Statistics, Probability | Download Now |
| Class 11 | JEE + Higher Maths Foundation | Sets, Functions, Trigonometry, Coordinate Geometry, Limits, Probability | Download Now |
| Class 12 | Board + Entrance Preparation | Calculus, Matrices, Determinants, Vectors, 3D Geometry, Probability | Download Now |
RD Sharma Solutions can help students strengthen their mathematics concepts through regular practice. If you are studying Maths in Class 6 to 12 and planning to prepare for JEE Main or other engineering entrance exams in the future, this free JEE E-Book can help you understand the preparation journey, important exam details, and useful strategies for building a stronger foundation.
This guide is useful for students who are currently strengthening their Maths foundation with RD Sharma and want to understand how strong concepts and regular practice can support future JEE Main and engineering entrance preparation.
RD Sharma Class 12 book includes a vast number of well-defined instances. Fresh illustrative examples and problems have been applied to each chapter of the exercises.
In each chapter, all terms and meanings have been explored in-depth in a lucid manner and have also been illustrated with relevant illustrative examples.

| RD Sharma Class 12 – Chapters | RD Sharma Class 12 – Chapters |
|---|---|
| Chapter 1: Relations | Chapter 17: Increasing and Decreasing Functions |
| Chapter 2: Functions | Chapter 18: Maxima and Minima |
| Chapter 3: Binary Operations | Chapter 19: Indefinite Integrals |
| Chapter 4: Inverse Trigonometric Functions | Chapter 20: Definite Integrals |
| Chapter 5: Algebra of Matrices | Chapter 21: Areas of Bounded Regions |
| Chapter 6: Determinants | Chapter 22: Differential Equations |
| Chapter 7: Adjoint and Inverse of a Matrix | Chapter 23: Algebra of Vectors |
| Chapter 8: Solution of Simultaneous Linear Equations | Chapter 24: Scalar or Dot Product |
| Chapter 9: Continuity | Chapter 25: Vector or Cross Product |
| Chapter 10: Differentiability | Chapter 26: Scalar Triple Product |
| Chapter 11: Differentiation | Chapter 27: Direction Cosines and Direction Ratios |
| Chapter 12: Higher Order Derivatives | Chapter 28: Straight Line in Space |
| Chapter 13: Derivative as a Rate Measurer | Chapter 29: The Plane |
| Chapter 14: Differentials, Errors and Approximations | Chapter 30: Linear Programming |
| Chapter 15: Mean Value Theorems | Chapter 31: Probability |
| Chapter 16: Tangents and Normals | Chapter 32: Mean and Variance of a Random Variable |
| Chapter 33: Binomial Distribution |
Build a stronger Maths foundation with the JEE App. Practice important Mathematics concepts, track your JEE Main preparation, access useful study resources, and improve your problem-solving skills. The app can support students using RD Sharma Solutions from Class 6 to 12 while preparing for higher-level Maths and future engineering entrance exams.
RD Sharma Class 11 The textbooks are based on the current syllabus recommended by the CBSE.
Illustratie Examples and Activities offered at the end of each section/subsection in each chapter have been grouped in increasing order of difficulty level and have been divided into two categories, respectively Level -1 and Level – 2.
NCERT found issues in the Exercises that have been discussed in the segment “Tips to NCERT & Selected Problems.”

| RD Sharma Class 11 – Chapters | RD Sharma Class 11 – Chapters |
|---|---|
| Chapter 1: Sets | Chapter 17: Combinations |
| Chapter 2: Relations | Chapter 18: Binomial Theorem |
| Chapter 3: Functions | Chapter 19: Arithmetic Progressions |
| Chapter 4: Measurement of Angles | Chapter 20: Geometric Progressions |
| Chapter 5: Trigonometric Functions | Chapter 21: Some Special Series |
| Chapter 6: Graphs of Trigonometric Functions | Chapter 22: Brief Review of Cartesian System of Rectangular Coordinates |
| Chapter 7: Trigonometric Ratios of Compound Angles | Chapter 23: The Straight Lines |
| Chapter 8: Transformation Formulae | Chapter 24: The Circle |
| Chapter 9: Trigonometric Ratios of Multiple and Submultiple Angles | Chapter 25: Parabola |
| Chapter 10: Sine and Cosine Formulae and Their Applications | Chapter 26: Ellipse |
| Chapter 11: Trigonometric Equations | Chapter 27: Hyperbola |
| Chapter 12: Mathematical Induction | Chapter 28: Introduction to 3D Coordinate Geometry |
| Chapter 13: Complex Numbers | Chapter 29: Limits |
| Chapter 14: Quadratic Equations | Chapter 30: Derivatives |
| Chapter 15: Linear Inequations | Chapter 31: Mathematical Reasoning |
| Chapter 16: Permutations | Chapter 32: Statistics |
| Chapter 33: Probability |
The more you study and solve various types of questions, the easier you can solve challenging questions onboard and other competitive tests. Apart from the conventional approaches to solving problems, RD Sharma Solutions focuses on learning new mathematics tricks and shortcuts for simple and fast calculations.
RD Sharma Solutions for Class 10 PDF are offered here to help students study effectively for the exams.
The specialist faculty at TestprepKart prepares these methods for exercise-wise problems after gaining in-depth knowledge of all principles. Students can now overcome any problem in the RD Sharma textbook by pointing to RD Sharma Solutions.

| RD Sharma Class 10 – Chapters | RD Sharma Class 10 – Chapters |
|---|---|
| Chapter 1: Real Numbers | Chapter 9: Arithmetic Progressions |
| Chapter 2: Polynomials | Chapter 10: Circles |
| Chapter 3: Pair of Linear Equations in Two Variables | Chapter 11: Constructions |
| Chapter 4: Triangles | Chapter 12: Some Applications of Trigonometry |
| Chapter 5: Trigonometric Ratios | Chapter 13: Probability |
| Chapter 6: Trigonometric Identities | Chapter 14: Co-ordinate Geometry |
| Chapter 7: Statistics | Chapter 15: Areas Related to Circles |
| Chapter 8: Quadratic Equations | Chapter 16: Surface Areas and Volumes |
RD Sharma Class 9 Solutions PDF Textbook Solutions is based on the current syllabus recommended by CBSE in compliance with the CCE guidelines.
RD Sharma Class 9 math textbook is in line with the new syllabus recommended by CBSE. Here, all answers to the questions in the RD sharma Class 9 textbook are given in a thorough and step-by-step summary to help students clear up all their doubts.

| RD Sharma Class 9 – Chapters | RD Sharma Class 9 – Chapters |
|---|---|
| Chapter 1: Number Systems | Chapter 14: Quadrilaterals |
| Chapter 2: Exponents of Real Numbers | Chapter 15: Areas of Parallelograms and Triangles |
| Chapter 3: Rationalisation | Chapter 16: Circles |
| Chapter 4: Algebraic Identities | Chapter 17: Constructions |
| Chapter 5: Factorisation of Algebraic Expressions | Chapter 18: Surface Areas and Volume of a Cuboid and Cube |
| Chapter 6: Factorisation of Polynomials | Chapter 19: Surface Areas and Volume of a Circular Cylinder |
| Chapter 7: Introduction to Euclid’s Geometry | Chapter 20: Surface Areas and Volume of a Right Circular Cone |
| Chapter 8: Lines and Angles | Chapter 21: Surface Areas and Volume of a Sphere |
| Chapter 9: Triangle and its Angles | Chapter 22: Tabular Representation of Statistical Data |
| Chapter 10: Congruent Triangles | Chapter 23: Graphical Representation of Statistical Data |
| Chapter 11: Co-ordinate Geometry | Chapter 24: Measures of Central Tendency |
| Chapter 12: Heron’s Formula | Chapter 25: Probability |
| Chapter 13: Linear Equations in Two Variables |
RD Sharma Solutions for Class 8 Maths are given here, which include all chapters and their PDF lessons for students to use. Our expert faculty team at TestprepKart has devised solutions using different shortcut methods to help students solve problems in the most effective way possible.
With the aid of these RD Sharma Answers, which are available for Class 8 Maths, students can practice a wide number of different types of questions in the textbook..

Looking for help with RD Sharma Solutions for Class 6 to 12 Maths? Book a free maths tutoring session with TestPrepKart experts and get guidance on building strong concepts, solving difficult questions, improving problem-solving skills, and creating an effective study plan for school exams and future competitive exam preparation.
| RD Sharma Class 8 – Chapters 1 to 13 | RD Sharma Class 8 – Chapters 14 to 27 |
|---|---|
| Chapter 1 – Rational Numbers | Chapter 14 – Compound Interest |
| Chapter 2 – Powers | Chapter 15 – Understanding Shapes – I (Polygons) |
| Chapter 3 – Squares and Square Roots | Chapter 16 – Understanding Shapes – II (Quadrilaterals) |
| Chapter 4 – Cubes and Cube Roots | Chapter 17 – Understanding Shapes – II (Special Types of Quadrilaterals) |
| Chapter 5 – Playing with Numbers | Chapter 18 – Practical Geometry (Constructions) |
| Chapter 6 – Algebraic Expressions and Identities | Chapter 19 – Visualising Shapes |
| Chapter 7 – Factorization | Chapter 20 – Mensuration – I (Area of a Trapezium and a Polygon) |
| Chapter 8 – Division of Algebraic Expressions | Chapter 21 – Mensuration – II (Volumes and Surface Areas of a Cuboid and a Cube) |
| Chapter 9 – Linear Equations in One Variable | Chapter 22 – Mensuration – III (Surface Area and Volume of a Right Circular Cylinder) |
| Chapter 10 – Direct and Inverse Variations | Chapter 23 – Data Handling – I (Classification and Tabulation of Data) |
| Chapter 11 – Time and Work | Chapter 24 – Data Handling – II (Graphical Representation of Data as Histograms) |
| Chapter 12 – Percentage | Chapter 25 – Data Handling – III (Pictorial Representation of Data as Pie Charts) |
| Chapter 13 – Profit, Loss, Discount and Value Added Tax (VAT) | Chapter 26 – Data Handling – IV (Probability) |
| Chapter 27 – Introduction to Graphs |
RD Sharma Strategies for Class 7 Maths are given here, with all chapters and their activities. The PDFs of these chapters can be easily accessed by students.
The questions are formulated by the experts of TestprepKart, in a simple and understandable way that makes students answer problems in the most effective way possible.

| RD Sharma Class 7 – Chapters 1 to 12 | RD Sharma Class 7 – Chapters 13 to 25 |
|---|---|
| Chapter 1 – Integers | Chapter 13 – Simple Interest |
| Chapter 2 – Fractions | Chapter 14 – Lines and Angles |
| Chapter 3 – Decimals | Chapter 15 – Properties of Triangles |
| Chapter 4 – Rational Numbers | Chapter 16 – Congruence |
| Chapter 5 – Operations On Rational Numbers | Chapter 17 – Constructions |
| Chapter 6 – Exponents | Chapter 18 – Symmetry |
| Chapter 7 – Algebraic Expressions | Chapter 19 – Visualising Solid Shapes |
| Chapter 8 – Linear Equations in One Variable | Chapter 20 – Mensuration – I (Perimeter and Area of Rectilinear Figures) |
| Chapter 9 – Ratio and Proportion | Chapter 21 – Mensuration – II (Area of Circle) |
| Chapter 10 – Unitary Method | Chapter 22 – Data Handling I (Collection and Organisation of Data) |
| Chapter 11 – Percentage | Chapter 23 – Data Handling II (Central Values) |
| Chapter 12 – Profit and Loss | Chapter 24 – Data Handling III (Constructions of Bar Graphs) |
| Chapter 25 – Data Handling IV (Probability) |
TestPrepKart helps students strengthen their Mathematics foundation through structured study resources, regular practice, and JEE preparation support. Students using RD Sharma Solutions for Class 6 to 12 can improve their understanding of concepts, practice different types of questions, and build problem-solving skills for school exams and future competitive exams such as JEE Main.
RD Sharma Solutions for Class 6 PDF can be downloaded easily by students to perform well during the test.
The Faculty at TestprepKart prepares solutions for the exercise of wise problems after undertaking a thorough study of each principle.

| RD Sharma Class 6 – Chapters | RD Sharma Class 6 – Chapters |
|---|---|
| Chapter 1: Knowing our Numbers | Chapter 13: Quadrilaterals |
| Chapter 2: Playing with Numbers | Chapter 14: Circles |
| Chapter 3: Whole Numbers | Chapter 15: Pair of Lines and Transversal |
| Chapter 4: Operations on Whole Numbers | Chapter 16: Understanding Three Dimensional Shapes |
| Chapter 5: Negative Numbers and Integers | Chapter 17: Symmetry |
| Chapter 6: Fractions | Chapter 18: Basic Geometrical Tools |
| Chapter 7: Decimals | Chapter 19: Geometrical Constructions |
| Chapter 8: Introduction to Algebra | Chapter 20: Mensuration |
| Chapter 9: Ratio, Proportion and Unitary Method | Chapter 21: Data Handling – I (Presentation of Data) |
| Chapter 10: Basic Geometrical Concepts | Chapter 22: Data Handling – II (Pictographs) |
| Chapter 11: Angles | Chapter 23: Data Handling – III (Bar Graphs) |
| Chapter 12: Triangles |
Students must go over RD Sharma Solutions carefully before the final exams in order to perform well and develop their problem-solving skills. RD Sharma Solutions are specifically planned for CBSE students and are based on the current syllabus, as laid out in the CCE guidelines of the CBSE Board.
Apart from Mathematics Book you can also download Physics & Chemistry Books for Preparation This Set of Books is prepared for every JEE aspirant and DASA/CIWG students also download these books. Students can check all the list of books here these books are recommended by Highly professional Faculty, Ex-IITian Teachers, and Students.
Clearly, reading the answers from RD Sharma does not mean you will perform well in math. Solutions can only help students learn, practice and correct their mistakes. One should aim at understanding the concept and developing the right way to solve related problems on his own.
Before starting to practice the problem, read the theoretical background related to the topic, equations and solved examples. Make sure you have a good grasp of the concept rather than looking for the answer directly.
Attempt solving all questions by yourself before checking out the answers. Give ample time to understand the question, use the right formula for it, and devise a plan accordingly.
In case you don’t solve the question or you got it wrong, try to figure out what steps have been followed using RD Sharma Solutions for that specific question.
After learning the solution of the problem, close the book and attempt another question on the same topic. This will enable you to test whether you have learned the method and not merely memorized the solution steps.
Get guidance on building strong Mathematics concepts, using RD Sharma Solutions effectively, solving difficult questions, improving problem-solving skills, and creating a structured study plan for school exams and future competitive exams such as JEE.
Free Maths Guidance for Students
| Class | Important Topics | Download |
|---|---|---|
| Class 8 | Graphs, Mensuration, Linear Equations, Factorization, and Algebraic Identities | Download Now |
| Class 9 | Triangles, Circles, Coordinate Geometry, Polynomials, and Number Systems | Download Now |
| Class 10 | Circles, Probability, Coordinate Geometry, Trigonometry, and Quadratic Equations | Download Now |
| Class 11 | Coordinate Geometry, Functions, Trigonometry, Complex Numbers, and Limits | Download Now |
| Class 12 | 3D Geometry, Probability, Matrices, Vectors, Determinants, and Calculus | Download Now |
The RD Sharma Solutions can be very helpful for the students since these will guide them step by step on how to solve mathematics questions in classes ranging from 6 to 12. The solutions will enable the students to know the right steps, check their answers, and correct errors in case of any.
| Benefit | How RD Sharma Solutions Help Students |
|---|---|
| Step-by-Step Solutions | Help students learn how to approach question solving in an organized and sequential way. |
| Concept Clarity | Teach students about the application of mathematics concepts and formulas in various types of problems. |
| Mistake Analysis | Help students recognize calculation mistakes, sign errors, or incorrect methods while solving questions. |
| Self-Checking | Let students compare their answers and methods after attempting questions on their own. |
| Problem-Solving Skills | Expose students to various methods for solving mathematics questions. |
| Regular Practice | Aid students in practising various types of questions across different difficulty levels. |
| Revision Support | Help students revise important concepts and difficult questions for examinations. |
| Confidence Building | Regular practice and proper understanding can help build confidence in answering questions. |
| Board Exam Preparation | Offer additional mathematics practice alongside NCERT and the prescribed school syllabus. |
| Strong Maths Foundation | Develop skills that can help students build a foundation for advanced mathematics. |
While both NCERT and RD Sharma are helpful, their functions are distinct.
| Point | NCERT | RD Sharma |
|---|---|---|
| Best For | Basic Concepts and Board Exam Foundation | More Practice and In-Depth Problem-Solving |
| Difficulty Level | Basic to Moderate | Moderate to Advanced |
| Number of Questions | Limited and Focused Questions | Large Variety of Practice Questions |
| Board Exam Relevance | Very Important for Board Exam Preparation | Useful for Additional Practice and Better Preparation |
| Competitive Exam Support | Provides a Strong Basic Foundation | Better for Application-Based Questions and Extensive Practice |
The following case studies demonstrate how students from various classes improved idea clarity, confidence in their ability to solve problems, and test performance by using RD Sharma Solutions with structured supervision from Tetreault.

Aarav, a student in Class 8, struggled with math, particularly with sections like Mensuration, Algebraic Expressions, Factorization, and Linear Equations. His parents observed that while he could answer simple NCERT questions, he found it difficult to answer the same question in RD Sharma.
Lack of effort was not the primary issue. Without knowing why each step was used, Aarav was replicating steps from solutions. He thus made the same errors on exams in school.
Aarav received a chapter-by-chapter RD Sharma practice plan after signing up for TestPrepKart. Rather than answering every question at random, he initially went over topics again, worked through a few examples, and then tried increasingly challenging RD Sharma activities. Additionally, his teacher kept a mistake tracker for incorrect factorization stages, formula misunderstanding, and sign issues.

As a student in Class 10, Riya was getting ready for the CBSE board exams. Although she excelled in theory, she performed poorly on application-based questions from Surface Areas and Volumes, Coordinate Geometry, Quadratic Equations, Trigonometry, and Circles.
Riya was overwhelmed by the quantity of questions in RD Sharma, despite her parents’ desire for her to get higher than 90 in math. She was spending too much time answering simple queries and not enough time fixing errors.
For RD Sharma, TestPrepKart developed an eight-week review schedule. The plan separated the chapters into three groups: formula-based chapters, poor chapters, and high-scoring chapters. After finishing NCERT, Riya practiced timed workbooks and answered a few RD Sharma problems.

Kabir was a student in Class 11 who had just begun his JEE preparation. He struggled with functions, trigonometry, complex numbers, permutations and combinations, coordinate geometry, limits, and probability, but he was at ease with math at the school level.
He was spending a lot of time studying, but his exam scores were not getting better, which worried his parents. The primary problem was that Kabir was not developing solid RD Sharma-level foundations before moving straight on to difficult JEE questions.
His study order was altered by TestPrepKart. Kabir first updated NCERT concepts. He then completed a few practice questions and RD Sharma samples. He then transitioned to JEE-level practice. Before tackling more difficult challenges, this enabled him to comprehend the reasoning behind each approach.
In addition, his coach made a weekly problem-solving tracker and a formula modification sheet. Kabir was able to increase accuracy and decrease thoughtless errors as a result.
As a result, Kabir’s school math score increased from 68% to 89%, and he also performed more consistently on the JEE foundation mock-test.
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| Physics | Chemistry | Math |
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| Units, Dimensions & Measurement | Solid State | Probability And Its Fundamental |
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Useful Resources
TestPrepKart helps students build a stronger foundation in Mathematics through structured learning and regular practice. Students studying from RD Sharma Solutions for Class 6 to 12 can use additional study resources and JEE preparation support to improve their concepts, problem-solving skills, and confidence in Mathematics.
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