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NCERT Exemplar Problems and Solutions for Class 9 to 12

NCERT Exemplar Problems and Solutions for Class 9 to 12

Edited By Irshad Anwar | Updated on Apr 09, 2025 02:28 PM IST

NCERT Exemplar

NCERT Exemplar books are a collection of additional practice material as sometimes, classroom teaching may not be enough for the students to completely grasp and understand the complex topics or subjects. For this purpose, they come in use to clarify the doubts and to practice all the different type of questions which strengthen their understanding and performance in exams as well. Specially for subjects, like maths and science that require extra time and effort, these books are best.

This Story also Contains
  1. NCERT Exemplar
  2. NCERT Exemplar Class 6
  3. Class 7 NCERT Exemplar
  4. NCERT Exemplar Class 8
  5. Essential Resources for Exam Success : Class 9 NCERT Exemplar
  6. NCERT Exemplar for Class 10: Effective Practice for Better Exam Preparation
  7. A Complete Guide to Mastering the Syllabus : NCERT Exemplar Class 11
  8. Unlock Your Potential with Practice and Solutions by NCERT Exemplar Class 12
NCERT Exemplar Problems and Solutions for Class 9 to 12
NCERT Exemplar Problems and Solutions for Class 9 to 12

It covers a variety of question-types, like MCQs, short and long questions with well-detailed explanation and all necessary diagrams. NCERT Exemplar books are an excellent guide for mastering difficult topics, making sure that students not only pass their exams but excel in them. Regular practice of these make the students familiar with the question patter that allow them to gain confidence and answer all the questions skillfully.

These books are prepared in such a way that it increases the student's learning without compromising in the quality of education. They help students clear doubts, build confidence, and make learning more effective. Using NCERT Exemplar books is a type of investment in student's academic exams as well as in future exams.

Also Read,

NCERT Solutions For Class 6 to 12

NCERT Chapter Revision Notes For Class 9 to 12

So, what exactly is NCERT Exemplar?

The National Council of Educational Research and Training organisation took the initiative of launching the NCERT exemplar. The main reason behind this was to help the students' increasing their reasoning and logic skills and ensure that they can solve even advanced and highly difficult questions. These books are perfect to practice a wide array of items to sail through the most complicated, tricky and advanced questions like MCQs, Short answers, Long answers, and more.

These NCERT exemplar textbooks play an important role in developing a student's knowledge on the topic and understand the basic concepts that build the foundation for the rest of the chapter as well as the advanced concepts. Our experts in these fields designed these books, not only to gain understanding but also to score better marks in exams. Students will be able to gain access to the text of each subject, along with the CBSE Sample Papers as per the syllabus announced by the board. All the solved solutions will be provided to the students as well from Class 6 to Class 12 for their convenience.

Some Interesting details about the NCERT Exemplar problem and solutions -

  1. They are mainly designed to give students a wide variety of questions that matches with the syllabus, which are enough for the exam preparation.

  2. These books help students in understanding the complex topics with easy, due to which they become confident in answering difficult topics effectively.

  3. It is an important and excellent resource as it covers the entire syllabus with well-detailed and structured answers.

  4. By practicing with NCERT Exemplar, students can improve their problem-solving skills and gain more knowledge of complex topics, making them prepare for board as well as the competitive exams.

NCERT Exemplar Class 6

Class 6 builds the foundation for most of the complicated subjects. Therefore, it becomes necessary for the students to understand the concepts from the very beginning. For this reason, NCERT Exemplar books for Class 6 has been prepared which not only help students to excel in exams and secure top positions but also to clear any doubts they may have regarding the subject or topic. These includes various type of exercises which are given below:

  • MCQs

  • Fill in the blanks

  • True or false questions

  • Short answer type questions

  • Long answer type questions

  • Match the following questions

  • Diagram labelling questions

  • Numerical problems

NCERT exemplar Class 6 Maths provides the students with multiple formulas and in-depth details on how to solve the problems. Chapter-wise solutions are also available in the PDF format and can be accessed free of cost.

NCERT exemplar Class 6 Science book develops the students' reasoning skills and provides them with various formulas and detailed explanations, along with diagrams to help them clear their doubts.

Class 7 NCERT Exemplar

NCERT exemplar solutions for Class 7 help students to increase their knowledge and skills in the subjects of Maths and Science. The solutions given in these books aim at providing the students with guidance towards acing their academics and acquire brilliance in their field even in the future. These books offer practice on:

  • MCQ types

  • Short answer types,

  • long answer

  • Fill in the blanks

  • Match the following

  • True or false

  • Diagram labelling

  • Derivations and numerical questions

The Class 7 Maths exemplar book aims at providing the most relevant questions for skill development of the students. They help in developing the problem-solving skills of the students.

Knowledge of science-based topics are essential as they help in gaining a clear perspective of various topics of life and environment. The Class 7 Science exemplar book provides the students with solutions and in-depth explanations to comprehend these topics with ease.

NCERT Exemplar Class 8

These books provide in-depth solutions, explanations and steps to understand the complex topics easily. They provide the students with study material which gives them knowledge of the critical Math and Science problems and prepare accordingly.

  • MCQ types

  • Short answer type questions

  • Long answer type questions

  • Fill-in-the-blanks questions

  • Match the following questions

  • To True or false questions

NCERT Exemplar Class 8 Maths book provides the students with solutions on every chapter in the maths syllabus. Questions frequently asked in the board exams are usually based on the detailed concepts explained in this book, along with all the formulas, and equations.

The Class 8th Science Exemplar textbook is vital for students to get a clear understanding of the topics to ace the examinations. This can only be done through thorough practising and understanding, which the Exemplar provides.

Essential Resources for Exam Success : Class 9 NCERT Exemplar

These NCERT Class 9 exemplar books are an essential source of knowledge, skill and improvement for the students and not only provides clear concepts and explanations to the students to work on their assignments but also prepare for the examinations with a lot more clarity.

NCERT Exemplar Class 9 Maths – It provides the students with a detailed understanding of the basics of Math and helps them practice effectively for their examinations. Given below is a list of all the chapters of maths in class 9.


NCERT Exemplar Class 9 Science – This book surprises the students with many unexpected and new topics which can leave the students baffled. This book helps the students have a basic understanding and in-depth knowledge on several course topics and better prepare for the exams. All the chapter-wise links are listed below:

NCERT Exemplar for Class 10: Effective Practice for Better Exam Preparation

Class 10 is a vital year for the students as it decides the first step towards their desired future and career. Therefore, it is crucial to be thorough with the concepts, questions, solutions and explanations. This NCERT Class 10 exemplar books provide them content that is detailed, well explained, several practice questions and solutions.

NCERT Exemplar Class 10 Maths - A wide array of complex questions and advanced questions is included in this book. This NCERT Class 10 Maths exemplar is a solution to all your problems. It enhances the problem-solving capabilities of the students and also makes the syllabus comprehensive. A table of all the chapter-wise links that are included in maths are given below:


NCERT Exemplar Class 10 Science – These books for science plays a vital role in the preparation. Each year, at least two questions are asked in the examinations which are from the NCERT exemplar books. Solving this book will prepare the students for the kind of questions they can expect and also clear their concepts to score well in the exams. The following table presents links for each chapter included in the science subject.

A Complete Guide to Mastering the Syllabus : NCERT Exemplar Class 11

Class 11 is a vital step towards the career that the students have chosen for themselves. NCERT Exemplar Class 11 contains concept-based and application-based questions, solutions and explanations to give the students a better understanding of the concepts and clear their doubts.

NCERT Exemplar Class 11 Maths- It is designed to providing the students with problems that range from easy to extremely difficult. This challenges the students' preparation and helps them gain a better understanding of the level of difficulty they can expect in the examinations. Here is a table with chapter-wise links for the Maths topics included.


NCERT Exemplar Class 11 Physics - From MCQs, Short question types, Reasoning-based questions to long answers, this helps in clearing all the concepts and in understanding different theories. You can find chapter-wise links for the entire Physics syllabus in the table below.


NCERT Exemplar Class 11 Chemistry – It is one of the best resources to gain perspective on the many formulae and complex concepts of Organic and Inorganic Chemistry. Chemistry seems to be difficult but by practicing the exercises from this gives you a clear vision. Here’s a table that contains links to all the chapters covered in the Chemistry syllabus.


NCERT Exemplar Class 11 Biology – This is necessary for any student who aspires to make a career in the field of Biology. This book gives them a comprehensive knowledge of the workings of the biological system, along with all the necessary diagrams that gives you a strong foundation of topics. Below is a detailed table with links to all the chapters included in the biology syllabus.

Unlock Your Potential with Practice and Solutions by NCERT Exemplar Class 12

This book introduced by NCERT allows students to clear all their doubts as well as gain a new and well-defined perspective on the concepts and applications of math and science. NCERT Exemplar Class 12 contains well-detailed solutions and explanations to clarify concepts in detail.

NCERT Exemplar Class 12 Maths - These are highly evolved, and provides relief to the students by helping them prepare well for the examinations by furnishing them with detailed steps and explanations for each topic. The table below contains links to all the chapters covered in the Maths syllabus.


NCERT Exemplar Class 12 Physics- From MCQs, short question types to reasoning and logic, this exemplar has everything to redefine the complex concepts for the students and help them clear their basic understanding with ease. The following table presents links for each chapter included in the physics subject.


NCERT Exemplar Class 12 Chemistry- This provides the students with an understanding of the complexities of different compounds, organic and inorganic chemistry and ace the examinations with confidence. Below is a table containing links for all the chapters included in the Chemistry syllabus.


NCERT Exemplar Class 12 Biology- From MCQs to Match-the-following, the Exemplar gives the students comprehensive details and concepts on the biological functions of the different species. All the chapter-wise links for biology are listed in the table below for easy access.

The NCERT Exemplar books are an essential resource for students to gain understanding and deepen their knowledge in their respective subjects. By consistent practice of all the questions included in this, students can face their exam confidently and score better marks.

Frequently Asked Questions (FAQs)

1. Does NCERT Exemplar offer a wide array of explanations and solutions?

NCERT Exemplar offers the students with explanations and in-depth analysis of each topic, to help the students grasp advanced concepts. 

2. How is NCERT Exemplar helpful for a student?

The solutions, questions, detailed explanations, and understanding of many concepts, helps the students in comprehending complex concepts and gain clarity. Therefore, allowing them to better prepare for their assignments and examinations with a clear mind and confidence.

3. What does NCERT Exemplar help in preparing for?

NCERT Exemplar is a comprehensive math and science range for students to gain a clear perspective on the complex and advanced concepts of these subjects and prepare for similarly advanced examinations like their boards and also competitive examinations like JEE Main, NEET, NTSE, etc.

4. Which Curriculum down NCERT Exemplar follow?

NCERT Exemplar follows the CBSE curriculum, which was revised in the year 2019-2020.

5. Which classes does NCERT Exemplar cater to?

NCERT Exemplar caters to classes 6, 7, 8, 9, 10, 11, and 12. These NCERT exemplar books are based on providing the students with clarity and in-depth explanations of different subjects. 

6. When should the students start solving the NCERT Exemplar?

The students are advised to solve NCERT and then move on to solving the NCERT Exemplar. NCERT exemplars are designed to help the students achieve a clearer understanding of the complex concepts and ace the examinations. However, to truly ace the examinations, the student needs to start preparing months beforehand and thoroughly solve both the NCERT and NCERT exemplar.

7. Are NCERT and NCERT exemplar the same?

Both of these books are extremely valuable for a student. However, they differ in their content. The NCERT textbooks stress on the understanding of the basic concepts, whereas NCERT exemplar books focus on the advanced application of the concepts.

8. What is the most effective way to utilise the NCERT exemplar?

It is advised to go through both NCERT and NCERT exemplar. This is because NCERT gives a clear understanding of the basic concepts which will help the student grasp the advanced concepts in the NCERT exemplar. Go through both the books and attempt the questions.

9. Where are the NCERT Exemplar problems published?

These NCERT exemplars can be viewed online and are also available for download from the main website too. 

10. Is the NCERT Exemplar effective for NTSE?

National Talent Search Examination is based on comparatively more straightforward questions, and NCERT exemplar should, therefore, be useful in preparing for NTSE. 

11. Are these NCERT Exemplars effective for competitive exams?

These NCERT exemplar books help in preparing for various competitive examinations. For example, NCERT exemplar chemistry book can come in very handy while preparing for JEE Mains. This is because JEE Mains frequently asks students questions that are already in the NCERT books. 

12. What is the best way to solve NCERT Exemplar?

Students must read and understand the concepts in the NCERT book and solve the textbook questions. The students should start working on the NCERT Exemplar books for deeper understanding and developing problem-solving skills.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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