NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 Maths Updated as per Latest syllabus Free PDF Download

How to Score Full Marks in Class 10 Maths with NCERT Solutions?

Scoring full marks in Class 10 Maths is achievable with the right strategy, consistent practice, and effective use of NCERT solutions. Since NCERT textbooks form the foundation of the CBSE Board exams, using NCERT solutions smartly can help students master concepts, improve speed, and write accurate answers. Below are detailed strategies to ensure 100/100 in Class 10 Maths.

1. Master the NCERT Textbook Thoroughly

NCERT is the primary source for Class 10 Maths exams. Around 90-95% of the board exam questions come directly from NCERT exercises and examples. Follow these steps:

• Read each chapter carefully before jumping to solutions.

• Understand definitions, formulas, and theorems with clarity.

• Solve all examples given before exercise problems.

• Practice every exercise question, even if they seem easy.

NCERT solutions will help cross-check answers, understand correct solving methods, and avoid mistakes in final exams.

2. Use NCERT Solutions to Learn Step-Wise Answer Writing

CBSE follows a step-marking system. Even if the final answer is wrong, you can get partial marks for the correct steps.

• Follow NCERT solutions’ step-by-step approach to solve problems.

• Pay attention to formulas, units, and sign conventions.

• Write solutions in a clear, structured way in exams.

Using NCERT solutions regularly ensures that you develop the habit of writing well-structured answers, increasing your chances of getting full marks.

3. Maintain a Formula & Theorem Notebook

Math requires strong conceptual understanding, and formulas are crucial for quick solving.

• Create a separate notebook for important formulas, theorems, and shortcuts.

• Regularly revise these formulas, especially before exams.

• Use NCERT solutions to see how formulas are applied in different types of questions.

This will help in quick revision before board exams and avoid last-minute confusion.

4. Solve NCERT Exercise Problems Multiple Times

Repeated practice ensures speed, accuracy, and confidence.

• Solve each exercise at least 2-3 times to gain perfection.

• Mark difficult problems and practice them more frequently.

• Cross-check answers using NCERT solutions to understand where you went wrong.

The more you practice NCERT questions, the easier the board exam will feel.

5. Solve NCERT Exemplar Problems

NCERT Exemplar provides higher-order thinking (HOTs) problems that are useful for board exams & competitive exams like NTSE, Olympiads, and JEE Foundation.

• Solve each NCERT Exemplar question and compare solutions with NCERT solutions.

• Understand tricky problems step by step to develop better logical thinking.

• Use Exemplar for extra practice to strengthen weak areas.

This will help in handling tricky exam questions with ease.

6. Focus on Time Management with NCERT Solutions

Math exams have time constraints, so solving questions within the given time is essential.

• Set a timer while practicing NCERT exercises.

• Improve calculation speed with mental math tricks.

• Solve previous years' board exam papers using NCERT solutions to evaluate time efficiency.

Practicing NCERT questions in a time-bound manner will help in completing the exam on time without panic.

7. Solve CBSE Sample Papers & Previous Year Papers

CBSE often repeats question patterns from previous years.

• Solve past 5-10 years' board papers for better exam insight.

• Use NCERT solutions to verify answers and improve accuracy.

• Identify common mistakes and work on them before the final exam.

Solving previous year's papers boosts confidence and ensures students are exam-ready.

8. Revise Regularly & Avoid Last-Minute Cramming

Maths requires regular practice rather than last-minute studying.

• Revise formulas, theorems, and key concepts daily.

• Go through NCERT solutions before exams for quick problem-solving reference.

• Solve mock tests to check your preparation level.

A well-planned revision strategy ensures concept clarity and confidence in the final exam.

9. Maintain a Neat and Organized Answer Sheet

Presentation plays an important role in Maths exams.

• Write answers neatly, leaving proper spacing.

• Highlight key steps, formulas, and final answers.

• Label diagrams properly and draw them using a pencil.

• If you make a mistake, strike out neatly and avoid overwriting.

Using NCERT solutions as a guide for structured answer writing helps create well-presented solutions, ensuring full marks.

10. Stay Positive & Confident During Exams

Lastly, a positive mindset is crucial to performing well.

• Don't panic over difficult questions—start with easy ones first.

• Use NCERT solutions for last-minute revision.

• Manage time properly—don’t spend too long on one question.

• Stay calm and focused to avoid silly mistakes.

With the right approach and NCERT-based preparation, scoring full marks in Class 10 Maths is 100% possible!

The Right Approach to Use NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 Maths are a powerful tool to help students understand concepts, practice efficiently, and score high in exams. However, simply reading the solutions is not enough. To maximize learning and performance, students must follow the right approach while using NCERT solutions.

Here’s a step-by-step guide to making the most out of NCERT solutions:

1. Read and Understand the Concepts First

Before jumping to NCERT solutions, it’s important to read the chapter carefully.

• Go through each concept, theorem, and formula mentioned in the NCERT textbook.

• Understand the logic behind each formula rather than memorizing it.

• If you struggle with a topic, refer to illustrations and solved examples before solving the exercises.

NCERT solutions should be used after understanding the basic concepts.

2. Solve Questions on Your Own First

Many students directly refer to NCERT solutions without attempting the questions themselves. This is a wrong approach because it prevents active learning.

• First, try to solve each question on your own without looking at the solution.

• If you are stuck, revise the related concept and make another attempt.

• Only after multiple attempts, refer to NCERT solutions to verify your answer or understand the correct method.

This approach improves problem-solving skills and ensures concept clarity.

3. Use NCERT Solutions for Step-Wise Learning

CBSE follows a step-marking system, which means each step carries marks.

• Follow NCERT solutions step by step to understand the correct solving approach.

• Pay attention to unit conversions, signs, and formulas used in solutions.

• Write step-wise solutions in practice notebooks to develop a structured answer-writing habit.

This will help in scoring full marks even if the final answer is incorrect in exams.

4. Maintain a Formula & Theorem Notebook

Math involves numerous formulas, theorems, and identities.

• Create a separate notebook and list down all key formulas and theorems.

• Refer to NCERT solutions to see how formulas are applied in different types of problems.

• Revise formulas daily and practice them in different contexts.

This approach ensures quick recall and efficient problem-solving in exams.

5. Re-Solve Difficult Questions Multiple Times

Some questions in NCERT exercises are tricky and require extra effort.

• Identify difficult problems and mark them for repeated practice.

• Solve these questions at least 3-4 times over a few weeks.

• Use NCERT solutions to check for mistakes and understand the correct method.

Practicing tough questions repeatedly boosts confidence and accuracy.

6. Use NCERT Solutions for Previous Year Paper Analysis

CBSE board exams often have direct or similar questions from NCERT exercises.

• Compare previous years' board papers with NCERT solutions to identify important question patterns.

• Solve past 5-10 years’ papers and use NCERT solutions to analyze errors.

• Learn how to write answers concisely as per the CBSE marking scheme.

This helps in exam preparedness and reduces surprises during exams.

7. Improve Time Management with NCERT Solutions

Time management is crucial during the board exam.

• Set a timer while solving NCERT exercises to build speed and efficiency.

• Use NCERT solutions to identify shortcuts and quicker solving methods.

• Solve mock tests using NCERT problems in a time-bound manner.

This will help in completing the exam on time without unnecessary stress.

8. Revise Regularly & Practice Extra Questions

• Even if you understand a concept once, revision is necessary for retention.

• Use NCERT solutions to revise problem-solving techniques before exams.

• Solve additional practice questions from NCERT Exemplar and sample papers.

Consistent revision ensures better performance and long-term memory retention.

9. Avoid Rote Learning – Focus on Conceptual Understanding

Math is about logic and problem-solving, not memorization.

• Instead of blindly copying solutions, understand the reasoning behind each step.

• Learn multiple ways to solve a problem using NCERT solutions.

• Apply the concepts in different scenarios to gain a deeper understanding.

This ensures conceptual clarity, which is key to scoring well on exams.

10. Stay Consistent & Confident

Maths requires regular practice.

• Follow a study schedule to cover NCERT exercises chapter-wise.

• Don’t get discouraged by difficult problems—use NCERT solutions to break them down step by step.

• Stay confident and positive—consistent practice with NCERT solutions will help you master Class 10 Maths.

Chapters Covered in NCERT Solutions for class 10 Maths

Chapter 1: Real Numbers

This chapter covers Euclid’s division lemma, Fundamental Theorem of Arithmetic, HCF, LCM, and irrational numbers. Students learn to prove irrationality, find decimal expansions, and understand the application of prime factorization. It forms the foundation for number theory.

Chapter 2: Polynomials

Key topics include zeros of polynomials, their relationship with coefficients, and division algorithm. The chapter helps in solving polynomial equations and understanding their graphical representation, essential for algebraic calculations.

Chapter 3: Pair of Linear Equations in Two Variables

Students learn graphical and algebraic methods (substitution, elimination, cross-multiplication) to solve equations. Real-life applications, such as speed-distance problems, are included, making it practical.

Chapter 4: Quadratic Equations

This chapter explains solving quadratic equations using factorization, completing the square, and the quadratic formula. It’s widely applied in Physics, Economics, and real-world problem-solving.

Chapter 5: Arithmetic Progressions (AP)

The chapter introduces AP formulas, nth term calculation, and sum of n terms. It is crucial for understanding sequences and their applications in finance and physics.

Chapter 6: Triangles

Covers similarity of triangles, Pythagoras theorem, and applications of basic proportionality theorem. This is a fundamental topic for geometry and higher studies.

Chapter 7: Coordinate Geometry

Students learn the distance formula, section formula, and area of a triangle using coordinates. These concepts help in analytical geometry and physics.

Chapter 8: Introduction to Trigonometry

Introduces trigonometric ratios, identities, and their applications. It is widely used in engineering and architecture.

Chapter 9: Some Applications of Trigonometry

Students apply trigonometry in real-life problems like height and distance calculations using angles of elevation and depression.

Chapter 10: Circles

Explain tangents to a circle and properties of tangents. It builds the foundation for advanced geometry.

Chapter 11: Constructions

Involves geometrical constructions like dividing a line segment, constructing tangents, and similar triangles. Useful for practical geometry skills.

Chapter 12: Areas Related to Circles

Teaches finding the area of sectors and segments using π and radius. Important for real-life applications like measuring land and objects.

Chapter 13: Surface Areas and Volumes

Covers surface area and volume of 3D shapes (cylinders, cones, spheres, etc.). This chapter is widely used in real-life measurements.

Chapter 14: Statistics

Students learn mean, median, mode, and graphical representation of data. Important for data analysis in various fields.

Chapter 15: Probability

Introduces theoretical probability concepts and real-life applications like dice rolling, coin flipping, and card drawing.

CBSE Class 10 Maths Academic Resources