NCERT Exemplar Class 10 Maths, Science & Class 12 Solutions PDF
NCERT Exemplar Class 10 Maths, Science & Class 12 Solutions
NCERT Exemplar is a supplementary question bank published by NCERT to strengthen conceptual understanding beyond the regular textbook. It is especially useful for CBSE students preparing for Class 10 board exams, Class 12 Mathematics, olympiads, NTSE-style reasoning and competitive-exam foundations. This collection page brings together NCERT Exemplar Class 10 Maths, NCERT Exemplar Class 10 Science, NCERT Exemplar Class 12 resources and chapter-wise NCERT Exemplar solutions in one place.
The books contain higher-order thinking questions, multiple-choice questions, assertion-reason items, short-answer and long-answer problems. Unlike routine textbook exercises, they test application, analysis and multi-step reasoning. NCERT provides the official Exemplar Problems on its website, making it a reliable free resource for students and teachers.
What Is NCERT Exemplar?
NCERT Exemplar is a set of subject-wise practice books developed by the National Council of Educational Research and Training (NCERT). It is designed to be used along with the main NCERT textbook, not as a replacement for it.
For school students, NCERT Exemplar is available for Mathematics and Science. For senior secondary classes, it covers Mathematics, Physics, Chemistry and Biology. The questions are more analytical than standard NCERT exercises and help students move from memorisation to genuine problem-solving.
Key Features of NCERT Exemplar Problems
| Feature | What It Means for Students |
|---|---|
| Higher-order questions | Encourages application-based learning rather than rote revision. |
| Multiple question formats | Includes MCQs, assertion-reason questions, short-answer and long-answer questions. |
| Chapter-wise organisation | Matches the NCERT syllabus, making revision structured and easy. |
| Board-exam relevance | Builds accuracy for CBSE Class 10 and Class 12 preparation. |
| Free official PDFs | NCERT publishes Exemplar Problems on its official website. |
NCERT Exemplar Class 10 Maths
NCERT Exemplar Class 10 Maths is one of the most searched resources among CBSE students because Class 10 Mathematics requires both speed and conceptual clarity. The book covers all major Class 10 chapters, including Real Numbers, Polynomials, Quadratic Equations, Triangles, Coordinate Geometry, Trigonometry, Statistics and Probability.
Students should use it after completing the NCERT textbook exercise for a chapter. First understand the formula, theorem or method; then attempt Exemplar questions without looking at the solution. This approach improves logical thinking and reduces dependence on memorised steps.
Important Chapters in Class 10 Maths Exemplar
| Chapter | Focus Areas |
|---|---|
| Real Numbers | Euclid’s division lemma, HCF, LCM and irrational numbers. |
| Polynomials | Zeroes, relationships between zeroes and coefficients. |
| Quadratic Equations | Roots, discriminant and word problems. |
| Arithmetic Progressions | nth term, sum of n terms and application questions. |
| Triangles | Similarity, Thales theorem and proof-based questions. |
| Coordinate Geometry | Distance formula, section formula and area of triangles. |
| Trigonometry | Identities, heights and distances. |
| Statistics and Probability | Mean, median, mode and probability-based reasoning. |
How to Use Class 10 Maths Exemplar Effectively
- Complete the corresponding NCERT textbook chapter first.
- Revise formulas, definitions and solved examples.
- Attempt Exemplar MCQs under a timed setting.
- Move to short-answer and long-answer questions.
- Check NCERT Exemplar solutions only after attempting the question.
- Maintain an error notebook for repeated mistakes.
This method is particularly helpful for students aiming for high scores in CBSE Class 10 Mathematics because Exemplar questions train them to handle unfamiliar question patterns.
NCERT Exemplar Class 10 Science
NCERT Exemplar Class 10 Science is equally important for board preparation. It includes conceptual, numerical, diagram-based and reasoning questions from Physics, Chemistry and Biology. Students preparing for CBSE Class 10 Science can use it to improve their understanding of reactions, electricity, light, life processes, heredity and environmental science.
The Science Exemplar is useful because board exams increasingly test application-based understanding. A student may know a definition, but Exemplar questions check whether they can apply that definition to a new situation, diagram or experiment.
Major Class 10 Science Exemplar Topics
| Subject Area | Important Chapters |
|---|---|
| Chemistry | Chemical Reactions and Equations, Acids, Bases and Salts, Metals and Non-metals, Carbon and its Compounds. |
| Physics | Light – Reflection and Refraction, Human Eye and Colourful World, Electricity, Magnetic Effects of Electric Current. |
| Biology | Life Processes, Control and Coordination, How do Organisms Reproduce?, Heredity and Evolution, Our Environment. |
Why Class 10 Science Exemplar Matters
- It improves diagram interpretation, especially in Biology and Physics.
- It strengthens numerical problem-solving in Electricity and Light.
- It develops chemical-reasoning skills through reaction-based questions.
- It prepares students for assertion-reason and competency-based questions.
- It supports revision for CBSE board exams and foundation-level competitive exams.
NCERT Exemplar Class 12
NCERT Exemplar Class 12 is mainly used by students preparing for board exams, JEE, NEET and other entrance-level assessments. For Class 12, NCERT Exemplar is available for Mathematics, Physics, Chemistry and Biology.
Class 12 Exemplar questions are more advanced than Class 10 questions. They often combine two or more concepts in a single problem, making them ideal for students who have already completed NCERT textbook exercises and want deeper practice.
NCERT Exemplar Class 12 Maths
NCERT Exemplar Class 12 Maths includes problems from Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Differential Equations, Vector Algebra and Probability.
The solutions generally cover every question type in the Exemplar book, including MCQs, very short answer, short answer and long answer questions. Students preparing for JEE Mathematics can use these problems to improve calculus, algebra and vector-based reasoning.
NCERT Exemplar Class 12 Science
| Subject | Best Used For |
|---|---|
| Physics | Numericals, conceptual MCQs, assertion-reason and derivation-based practice. |
| Chemistry | Reaction mechanisms, numericals, organic chemistry and physical chemistry practice. |
| Biology | Diagram-based, reasoning-based and NCERT-line-by-line conceptual questions. |
NCERT Exemplar Solutions: Why They Are Important
NCERT Exemplar solutions provide step-by-step answers to the questions given in Exemplar books. They help students understand the correct method, identify calculation mistakes and learn how to present answers in exams.
However, solutions should be used as a learning tool, not a shortcut. The best practice is to attempt every question independently for 5–10 minutes before checking the solution. This builds exam temperament and improves retention.
Benefits of Using Exemplar Solutions
- Clear step-by-step explanations for difficult questions.
- Better understanding of alternative solving methods.
- Faster revision before tests and board exams.
- Improved accuracy in MCQs and assertion-reason questions.
- Stronger preparation for HOTS and competency-based questions.
NCERT Exemplar Problems and Solutions: Complete Study Plan
A balanced plan helps students use NCERT Exemplar problems and solutions without feeling overwhelmed. The goal is not to solve every question in one day, but to build consistency across chapters.
Weekly Study Plan
| Day | Task |
|---|---|
| Day 1 | Read NCERT textbook chapter and revise formulas. |
| Day 2 | Solve NCERT textbook exercises. |
| Day 3 | Attempt NCERT Exemplar MCQs. |
| Day 4 | Solve short-answer and long-answer Exemplar questions. |
| Day 5 | Check solutions and note mistakes. |
| Day 6 | Revise weak concepts and redo incorrect questions. |
| Day 7 | Take a chapter-wise self-test. |
This plan works well for both NCERT Exemplar Class 10 Maths and NCERT Exemplar Class 10 Science. For Class 12, students can extend the revision days for calculus, physical chemistry, mechanics or high-weightage Biology units.
NCERT Exemplar vs NCERT Textbook
| Aspect | NCERT Textbook | NCERT Exemplar |
|---|---|---|
| Purpose | Builds basic concepts and covers prescribed syllabus. | Provides advanced practice and HOTS questions. |
| Difficulty | Moderate and exam-oriented. | Higher-order and application-based. |
| Best Time to Use | During initial chapter learning. | After completing textbook exercises. |
| Question Types | Exercise and example-based questions. | MCQs, assertion-reason, short and long answer questions. |
| Ideal For | All CBSE students. | Students targeting 90+ scores, olympiads and entrance foundations. |
Who Should Use NCERT Exemplar?
NCERT Exemplar is suitable for:
- CBSE Class 10 students preparing for board exams.
- Class 12 students preparing for Mathematics, Physics, Chemistry or Biology.
- Students aiming for high scores in school exams.
- Aspirants preparing for JEE, NEET, NTSE-style reasoning and olympiads.
- Teachers looking for extra practice questions beyond the textbook.
Students who find Exemplar questions difficult initially should not get discouraged. These questions are intentionally designed to challenge understanding. Start with easier chapters, attempt questions in small sets and gradually increase difficulty.
How to Download NCERT Exemplar PDFs
The official NCERT website provides Exemplar Problems for free. Students can visit the NCERT Exemplar Problems section, choose their class and subject, and access chapter-wise material.
For a smoother study experience, students can also use curated collection pages that organise NCERT Exemplar solutions chapter-wise. These pages are helpful when a student wants quick access to a particular chapter, such as Quadratic Equations, Electricity, Trigonometry or Integrals.
Exam Preparation Tips Using NCERT Exemplar
- Do not skip NCERT textbook questions. Exemplar is supplementary practice, not a substitute for the main syllabus.
- Practice MCQs with a timer. This improves speed and accuracy.
- Write full solutions for long-answer questions. This improves presentation and step marking.
- Revise mistakes weekly. Re-solving incorrect questions is more valuable than solving new questions carelessly.
- Use diagrams wherever required. This is especially important for Class 10 Science and Biology.
- Focus on weak chapters. Give extra time to topics such as Trigonometry, Electricity, Quadratic Equations, Calculus or Organic Chemistry.
Frequently Asked Questions
1. What is NCERT Exemplar?
NCERT Exemplar is a supplementary book published by NCERT that contains advanced practice questions for Maths and Science. It includes MCQs, assertion-reason questions, short-answer and long-answer problems designed to develop deeper conceptual understanding.
2. Is NCERT Exemplar Class 10 Maths important for board exams?
Yes. NCERT Exemplar Class 10 Maths is highly useful for CBSE board preparation because it includes application-based and higher-order questions from every major chapter. It helps students improve problem-solving accuracy and handle unfamiliar questions.
3. Is NCERT Exemplar Class 10 Science useful for CBSE exams?
Yes. NCERT Exemplar Class 10 Science helps students practise numericals, diagrams, reasoning questions and experiment-based concepts from Physics, Chemistry and Biology. It is especially useful for competency-based and HOTS-style preparation.
4. What is included in NCERT Exemplar Class 12?
NCERT Exemplar Class 12 includes advanced practice material for Mathematics, Physics, Chemistry and Biology. It is commonly used by students preparing for CBSE board exams as well as JEE and NEET foundation practice.
5. Are NCERT Exemplar solutions enough for board exam preparation?
NCERT Exemplar solutions are excellent for advanced practice, but they are not enough alone. Students should first complete NCERT textbook exercises, sample papers and previous-year questions, then use Exemplar for higher-level revision.
6. Where can I download NCERT Exemplar Problems and Solutions?
Official NCERT Exemplar Problems PDFs are available on the NCERT website. Many educational platforms also provide chapter-wise NCERT Exemplar solutions for easy reference and revision.
7. Should I solve NCERT Exemplar before or after NCERT textbook exercises?
Solve NCERT textbook exercises first. Once the basic concepts are clear, move to NCERT Exemplar problems and solutions for advanced practice. This sequence improves understanding and reduces confusion.
8. Is NCERT Exemplar useful for JEE and NEET?
Yes. NCERT Exemplar Class 12 is useful for JEE and NEET preparation because it contains conceptual and application-based questions. However, aspirants should also use dedicated entrance-exam study material and previous-year papers for complete preparation.
Final Thoughts
NCERT Exemplar is one of the best supplementary resources for CBSE students who want to move beyond basic textbook practice. Whether you are looking for NCERT Exemplar Class 10 Maths, NCERT Exemplar Class 10 Science, NCERT Exemplar Class 12 or chapter-wise NCERT Exemplar solutions, consistent practice can significantly improve conceptual clarity and exam confidence.
Use the official NCERT Exemplar Problems as your primary source, practise questions chapter-wise, and refer to solutions only after attempting them independently. With a structured study plan, students can build strong fundamentals for board exams and future competitive examinations.
