CBSE Sample Question Papers with PDF Solutions for Class 12 to 1 - Free Download From Vedantu
Students of Class 1-12 need complete support and guidance that they can get so that they can perform well in their examinations. These CBSE solutions provided by subject experts at Vedantu will help them get the best results in their academic years. These solutions are provided subject-wise and chapter-wise to ensure that students don't find any issue while practising. They can easily download the solutions for any specific subject or chapter. Download CBSE questions and answers from class 1-12 standards and start the preparation for your exams.
CBSE Sample Paper for Class 1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 can be of great help for students in achieving good grades in school examinations. The importance of sample papers cannot be avoided if a student wishes to score well in exams. Solving sample papers helps to enhance problem-solving speed, provides an overall understanding of question patterns, improves time management, and boosts confidence. We at Vedantu provide CBSE sample papers prepared by subject matter experts to improve the academic performance of students.
Become a class topper with the best sample papers curated by our team of the most experienced teachers as per the syllabus and the latest exam pattern. The latest sample papers available on Vedantu’s website will improve the chances of scoring higher marks in the 2023-24 final examination.
Importance of Using Sample Question Papers of CBSE Class 1-12 Students
For students who are in between class 1-12, it is important to get the best sample questions and answers that can help during the preparation. If they use these samples regularly, they will be able to prepare chapters and finish the curriculum accordingly. To gain proper knowledge of each chapter, from maths to geography, students need more than just classroom instruction. Vedantu subject experts keeping the CBSE guidelines prepared each solution for each standard that can help students in their last-minute preparation.
The Class 1-12 CBSE solutions from Vedantu make it simple for students to get the answers to any question. In addition, they can obtain comprehensive responses for other crucial issues that may help in the long term. For class 12 students who are preparing for the board exam can also use the solution that can help in scoring good.
Most of these solutions especially class 12 maths and science can help students to keep them for prospects. They can use these solutions during the engineering examination.
CBSE Class 12 Sample Papers PDFs with Solutions & Marking Scheme for 2023-24 (Based on the Updated Syllabus)
CBSE Class 10 Sample Papers PDFs with Solutions & Marking Scheme for 2022-23 (Based on the Updated Syllabus)
CBSE Sample Papers for Class 12
CBSE Class 12 Sample Papers
Class 12 is the most crucial year in a students’ life. Scoring good grades in the 12th class board examinations is important for a student to pursue a career of their choice and take admission to any esteemed colleges for higher studies. The CBSE Class 12 sample papers 2022-23 prepared by a panel of the most experienced teachers at Vedantu will help you become a top scorer in CBSE board examinations and push you to achieve your career goals. It will also aid in the preparation of JEE Main and JEE Advanced, NEET and other competitive examinations.
1. CBSE Sample Papers for Class 12 Maths
Mathematics is often considered a tough subject by many students. It is one of the subjects that requires a strong understanding of the concepts from the beginning. Vedantu, the top online tutoring platform, offers Class 12 Maths sample test papers for the academic year 2023-24. Improve your mathematics concept and be able to solve even the most difficult math problems using our free sample papers.
2. CBSE Sample Papers for Class 12 Physics
Many students find it difficult to score well in physics because the problems are difficult and require regular practice. Solving CBSE practice papers and model question papers can help the students to understand the important topics, question patterns and improve problem-solving capacity.
Vedantu has designed the best sample question papers for CBSE Class 12 Physics for free download in PDF format to help you practice physics problems and excel in the subject.
3. CBSE Sample Papers for Class 12 Chemistry
Class 12 Chemistry is divided into physical, organic and inorganic chemistry. The Class 12 Chemistry portion involves a lot of chemical reactions and it becomes difficult for a student to score well in this subject if a student lacks practice.
Practice model question papers for CBSE Class 12 Chemistry with solutions and guidance from our expert teachers who will help to take the exam with confidence.
4. CBSE Sample Papers for Class 12 Biology
Biology is a vast yet interesting subject. The trick is to understand your NCERT prescribed books and find an interest in life sciences. Our brilliantly-curated CBSE Class 12 Biology sample papers and question bank 2023-24 can help you prepare for your upcoming board exam.
5. CBSE Sample Papers for Class 12 English
The importance of the English language cannot be denied in the Indian education scenario. It is important for students to devote their time to this subject as well. Solve NCERT Class 12 English sample papers provided by Vedantu to master this subject and attempt all the questions in the exam with confidence.
6. CBSE Sample Papers for Class 12 English Elective
Mastering grammar for any language paper is integral. Class 12 English Elective examination includes concepts of applied grammar. It requires a lot of practice to understand this subject. At Vedantu, we provide model question papers with solutions designed according to the NCERT syllabus.
7. CBSE Sample Papers for Class 12 Computer Science
Computer Science is one of the most sought-after areas of studies these days. Developing your concept from the very beginning is important and students must devote a fair share of their time to this subject.
Download CBSE Sample paper 2022-23 for Class 12 Computer Science, created by our subject experts and improve your marks in the upcoming board exams.
8. CBSE Sample Papers for Class 12 Business Studies
Free PDF for class 12 Business Studies Sample question paper is available for download. With the help of previous year question papers and sample test papers, students can master the concepts of Business Studies and take the examination with confidence.
9. CBSE Sample Papers for Class 12 Economics
The latest sample papers for CBSE Class 12 Economics 2022-23 board examination for Economics is available at vedantu.com for your reference. Students must try to solve practice papers as it will help them to analyze the weightage of different topics asked in the exams.
10. CBSE Sample Papers for Class 12 Accountancy
Excel in Class 12 Accountancy subject with the help of NCERT Class 12 Accountancy sample question papers prepared and solved by our great team experts. Join Vednatu.com for making use of the question bank 2023-24.
CBSE Sample Papers for Class 11
Class 11 is an important year for students. There is difficulty in the syllabus of CBSE Class 11 compared to Class 10. Therefore, students often feel nervous and anxious. If they plan their Class 11 properly, they can perform much better in the Class 12 board examination and entrance exam papers. They should start their preparation from the beginning of Class 11. By downloading solved sample papers for Class 11, students can gear up their preparation for the board exam as well as other entrance tests.
1. CBSE Sample Papers for Class 11 Maths
Vedantu provides sample papers for CBSE Class 11 Maths which can be utilized by students to hone their problem-solving skills and improve their marks in mathematics. Download NCERT question paper solved by our experts.
2. CBSE Sample Papers for Class 11 Business Studies
Model paper 2022-23 for Class 11 Business Studies with solutions is available at Vedantu for free download in PDF format. Students can also register to our website and make use of online tuition with our team of expert tutors.
3. CBSE Sample Papers for Class 11 Economics
CBSE Class 11 Economics sample papers with solutions are provided by Vedantu, one of the most renowned online tutoring platforms. Students can make the most use of these practice papers and improve their marks in the subject.
4. CBSE Sample Papers for Class 11 Accountancy
Students can solve Class 11 Accountancy problems with the help of CBSE Class 11 Accountancy sample papers provided by Vedantu. We provide expert guidance to students in scoring well in exams and also free sample papers to download.
CBSE Sample Papers for Class 10
Class 10 examinations are an important milestone in a student’s academic journey. It is important to work on sample papers regularly to understand the board exam pattern and have a thorough practice of subjects like Mathematics, Science, English, Hindi and Social Science. Vedantu provides the best assistance to students preparing for class 10 board exams with detailed and well-designed sample papers that are free to download.
1. CBSE Sample Papers for Class 10 Maths
Class 10 Maths CBSE sample papers are available for free download. Designed to help students understand the question pattern and practice more and more problems, Vedantu’s offerings should not be missed by students aiming to score well in maths in board exams.
2. CBSE Sample Papers for Class 10 Science
Class 10 Science is important for students to identify their interest in the science streams. CBSE Class 10 Science Sample question papers provided by Vedantu are a must for students to improve their performance in the exam since these question papers will help them build their basics in physics, chemistry and biology which will help them in their higher studies.
3. CBSE Sample Papers for Class 10 Social Science
At Vedantu, we provide sample papers for CBSE Class 10 Social Science available for free download. The sample paper with solutions will help to have a thorough understanding of Social Science subjects like History, Geography, and Political Science.
4. CBSE Sample Papers for Class 10 Hindi A
It is important to have command of language papers to improve one’s chances of becoming a top-scorer in the board exam. Solving sample papers of Hindi is important for understanding the exam pattern, analyzing the type of questions asked in exams and improving your writing speed. Download our Hindi A sample paper designed as per the latest syllabus and pattern for students to prepare for the exam.
5. CBSE Sample Papers for Class 10 Hindi B
Students often tend to pay less attention to language papers, especially the grammar part. Like any other subject, even practicing Hindi papers is important to score well in exams. Avail the best test papers at Vedantu, the most trusted online tutoring platform.
6. CBSE Sample Papers for Class 10 English Language and Literature
Students can download free sample papers for Class 10 English Language and Literature and master their concepts of the English language to fetch good grades in Class 10 board examination. Download free sample test papers at our website and score well in the upcoming board exams.
CBSE Sample Papers for Class 9
There is a shift of difficulty level in the syllabus of Class 9 that students may find hard to understand at the beginning. The key to success lies in the understanding of each subject and thorough practice. Students must plan their Class 9 properly to excel in Class 10 board examinations. The preparation strategy must include solving enough sample papers to revise each and every topic studied so far. Download free sample paper for Class 9 CBSE exam, as per syllabus.
At Vedantu, you will find sample question papers created in the best interest of students.
1. CBSE Sample Papers for Class 9 Maths
Improve your problem-solving skills with the curated practice paper that would keep students motivated to score well in the exam. Students will no longer have maths fear with our thoughtfully prepared CBSE Class 9 Maths sample papers and guidance from subject matter experts.
2. CBSE Sample Papers for Class 9 Science
Your hunt for the best CBSE Sample Papers for Class 9 science ends at Vedantu. The sample papers are reviewed by our subject experts holding years of teaching experience. Solving CBSE sample papers 2023-24 will help to understand the basic concepts of the subject.
3. CBSE Sample Papers for Class 9 Social Science
Our free sample papers for Class 9 Social Science will help students in Social Science exam preparation. Students can solve the NCERT question paper to understand the frequently-asked questions in exams and how to answer those questions.
4. CBSE Sample Papers for Class 9 English Language and Literature
At Vedantu, we are known to provide the best CBSE Sample Papers. Available with the solution, these test papers are prepared by the subject experts and you can rely on them for the preparation of CBSE class 9 English Language and Literature paper.
CBSE Sample Papers for Class 8
Class 8 concepts are the building block for higher grades and this is the class where concepts actually start to build up. Hence, students must pay heed to CBSE class 8 syllabus and spend enough time solving sample papers. Download Free PDF for Class 8 Sample Papers for Class 8 Maths, English, Science, and Social Science. Class 8 Sample papers will gear-up your preparation for exams and with the guidance of our subject matter experts, students will feel they are on the right path.
1. CBSE Sample Papers for Class 8 Maths
Looking for CBSE Class 8 Maths sample papers that contain updated question patterns and hand-picked questions to improve students’ problem-solving speed? Look no further as you have landed in the right place. Vedantu provides well-balanced practice question papers with both easy and difficult questions for students to improve their mathematics skills.
2. CBSE Sample Papers for Class 8 English
The free PDF download of CBSE sample papers for class 8 English with solutions is available on our website. Students can improve their chances of scoring higher marks in their CBSE exams by solving these Model Papers 2023-24.
3. CBSE Sample Papers for Class 8 Science
Prepared by our subject experts, our CBSE sample question papers for Class 8 Science will kick-start your preparation and increase your chances of scoring higher marks in exams. Students can also register for Live Online Home tuitions to clear all their doubts from India’s most experienced teachers.
4. CBSE Sample Papers for Class 8 Social Science
Your search for the best sample papers for CBSE class 8 Social Science ends with Vedantu.com. These practice papers are free to download and can be availed at our website to perform well in exams.
CBSE Sample Papers for Class 7
Class 7 is an important year to build your early year foundation on which your higher education will be based on. Start your journey towards success with the help of Vedantu’s online education platform. We, at Vedantu, provide you with CBSE sample papers with solutions for Class 7 Maths, Science, English, and Social Science. Download the NCERT question papers and begin your Class 7 preparation and practice all the frequently-asked questions to improve your marks in examinations.
1. CBSE Sample Papers for Class 7 Maths
Hone your mathematics concept with the A-one curated practice papers especially designed by experienced teachers that would help students score well in the exam. Students will no longer worry about their maths grades with our thoughtfully prepared CBSE Class 7 Maths sample papers and guidance from subject matter experts.
2. CBSE Sample Papers for Class 7 Science
Your search for effective CBSE Sample Papers for Class 7 science ends here at Vedantu.com. The sample papers are solved and reviewed by our subject experts who have years of teaching experience. Solving CBSE sample papers 2023-24 is important for students to revise every concept and improve their marks.
3. CBSE Sample Papers for Class 7 Social Science
Vedantu provides a smart solution for revision: Solving a well-created set of sample papers. Sample Papers for CBSE Class 7 Social Science are available for free download. The sample paper with solutions will help to have a thorough understanding of Social Science.
4. CBSE Sample Papers for Class 7 English
Prepared by our subject matter experts, our CBSE sample question papers for Class 7 English will kick-start your preparation and increase your chances of scoring higher marks in exams. Register for Live Online Home tuitions to clear all your doubts from India’s most experienced teachers.
CBSE Sample Papers for Class 6
CBSE Sample Papers are available for Class 6 Science, Maths, Social Science, and English in free PDF format. With hassle-free PDF solutions, students can fast track their preparation for the Class 6 exam. If students spend enough time solving sample papers and study well, they can have a strong foundation upon which higher education will be built.
1. CBSE Sample Papers for Class 6 Maths
Class 6 Maths CBSE sample papers are available for free download. Curated to assist students in understanding the question pattern and promote them to practice more and more problems, Vedantu’s offerings should not be missed by students who wish to become a pro at solving 6th-grade maths problems.
2. CBSE Sample Papers for Class 6 Science
Vedantu provides a well-created set of sample papers that guide students to prepare for their science exams. Sample Papers for CBSE Class 6 Science are available for free download that will help students to have a thorough understanding of science concepts.
3. CBSE Sample Papers for Class 6 Social Science
Looking for the best sample papers for CBSE Class 6 Social Science? Your search ends with Vedantu.com. The practice papers provided by us are free to download and can be availed at our website to perform well in exams.
4. CBSE Sample Papers for Class 6 English
The free PDF download of sample papers for CBSE Class 6 English with solutions is available on Vedantu’s website. Students can work together with subject matter experts at Vedantu to excel in CBSE exams by solving these Model Papers 2023-24.
CBSE Sample Papers for Class 5
Class 5 may appear as an easy year. However, the concepts taught in subjects like Maths, English, and Science are important to build a base for higher classes. It is highly recommended that students pay attention to their Class 5 subjects and solve different sets of Sample Papers. Students looking for Class 5 CBSE Sample paper designed for success in exams, must use Vedantu.com.
1. CBSE Sample Papers for Class 5 Maths
Vedantu provides a brilliant set of sample papers that guide students to master mathematics concepts. Free PDF of Sample Papers for Class 5 Maths is available to sharpen the problem-solving abilities of students.
2. CBSE Sample Papers for Class 5 EVS
EVS (Environmental Studies) is an important subject that teaches students about nature and the environment we live in. The subject is undoubtedly interesting but answering questions requires an understanding of the concepts. CBSE Class 5 EVS Sample papers provided by us are free to download and can be availed at our website to perform well in exams.
3. CBSE Sample Papers for Class 5 English
The free PDF download of sample papers for CBSE Class 5 English can be accessed on Vedantu’s website. Students can also register with Vedantu to take guidance from our subject matter experts to excel in CBSE exams by solving these Model Papers 2023-24.
4. CBSE Sample Papers for Class 5 Hindi
Students often postpone preparing for language papers till the end. Like any other subject, even practicing CBSE Class 5 Hindi sample papers is important to score well in exams. The best CBSE Sample Papers as per the NCERT syllabus are available at Vedantu.com.
CBSE Sample Papers for Class 4
Free PDF of CBSE Sample Paper for Class 4 is available for student’s use. Solutions are given by our subject-matter experts who will assist students to increase their grades in Class 4 exams. The best in-house teachers are available to guide them in their early academic years.
Vedantu provides relevant sample papers that guide students to prepare for their science exams.
1. CBSE Sample Papers for Class 4 Maths
Improve your problem-solving skills with CBSE Class 4 Maths Sample paper 2022-23 and kick start your preparation. Our free to use sample papers will help you score better in Maths.
2. CBSE Sample Papers for Class 4 EVS
Looking for CBSE Class 4 EVS sample question papers that would help you to understand the type of questions frequently asked in the exam? Look no further as you have Vedantu’s solution at your disposal to help you solve sample papers and improve your performance in the EVS exam.
3. CBSE Sample Papers for Class 4 English
At Vedantu, we are known to provide the best CBSE Class 4 English Sample Papers for gaining command over the English language. These test papers are prepared and reviewed by the subject experts and you can rely on them for the preparation of Class 4 English exam.
4. CBSE Sample Papers for Class 4 Hindi
Avail the CBSE Sample Papers for Class 4 Hindi and gain confidence in solving Hindi. Sample papers are a great way to improve Hindi writing and grammar.
CBSE Sample Papers for Class 3
A free PDF of CBSE Sample Question Papers for Class 3 subjects (Maths, EVS, Hindi, and English). By practicing these sample papers designed as per the guidelines of CBSE board, Students will improve their score in the examination. They can also register for Live Online Classes to clear their doubts from the most experienced teachers.
1. CBSE Sample Papers for Class 3 Maths
At Vedantu, we provide the best sample papers that guide students to master mathematics concepts. Free PDF of Sample Papers for CBSE Class 3 Maths is available to hone the problem-solving skills of students.
2. CBSE Sample Papers for Class 3 EVS
Vedantu’s CBSE sample question papers for class 3 EVS with solutions are available for free download to help students solve sample papers and improve their performance in the EVS exam.
3. CBSE Sample Papers for Class 3 English
Vedantu provides a PDF download of CBSE sample papers for Class 3 English that can be of great use for students aiming to score well in exams. Students can also register with Vedantu to take guidance from our subject matter experts to excel in CBSE exams.
4. CBSE Sample Papers for Class 3 Hindi
Prepared by our subject matter experts, CBSE sample question papers for Class 3 Hindi will fast track your preparation and increase your chances of scoring higher marks in exams. Register for Live Online Home tuitions to clear all your doubts from India’s most experienced teachers.
CBSE Sample Papers for Class 2
Free PDF of CBSE Sample Paper for Class 2 is available to assist in exams. Solutions are given by our subject-matter experts who will guide students to increase their grades in Class 2 exams. The best in-house teachers are available to help students in their early schooling days.
1. CBSE Sample Papers for Class 2 English
Vedantu.com provides CBSE sample papers for Class 2 English which can be utilized by students to work on language papers such as English from the very beginning. Download NCERT question paper solved by our experts.
2. CBSE Sample Papers for Class 2 Maths
Vedantu offers sample papers, created by experts, to guide students to master mathematics concepts. Free PDF of Sample Papers for CBSE Class 2 Maths is available to sharpen the problem-solving abilities of students.
3. CBSE Sample Papers for Class 2 Hindi
The free PDF download of sample papers for CBSE Class 2 Hindi provided by Vedantu can be utilized by students to improve their marks. Students can also register with Vedantu to take guidance from our subject matter experts to excel in CBSE exams by solving these Model Papers 2023-24.
CBSE Sample Papers for Class 1
Class 1 is the first major stepping stone of the academic journey of any student. It is imperative that students should take the Class 1 examination seriously. We, at Vedantu, provide the best and effective sample paper, rich in content, that would help students from the beginning to enhance their academic knowledge and boost their confidence.
1. CBSE Sample Papers for Class 1 Maths
Solving maths problems can be a bit challenging at an early age. However, a student need not worry as they can avail the best sample paper for CBSE Class 1 Maths, solved by experts. They can also take assistance from subject matter experts.
2. CBSE Sample Papers for Class 1 English
Prepared by the subject matter experts, our CBSE sample question papers for Class 1 English will help students in the exam preparation. Register for Live Online Home tuitions to clear all your doubts from India’s most experienced teachers.
3. CBSE Sample Papers for Class 1 Hindi
Free PDF downloadable link of CBSE sample question papers for Class 1 Hindi will help students to perform excellently in exams. They can also join Vedantu for Live Online Home tuitions offered by some of India’s most experienced teachers.
What are the Characteristics of the CBSE Sample Papers?
The CBSE has provided students with sample papers so that they can prepare themselves for the assessment tests and the Board exams.
Below are Some Features of the CBSE Sample Papers:
These papers are based on the CBSE guidelines. The design of the question papers is. based on the syllabus and the marking scheme.
The sample papers address the key points from the examination point of view.
The CBSE sample papers contain the types of questions asked in the exam.
Solutions of all the sample papers are provided by the CBSE. These answers are given in proper format with detailed explanations.
Benefits of Using Class 1-12 Sample Questions Papers
The sample papers given by the CBSE are considered as the right study material for the students. These sample papers assist them in preparing for their examinations.
The advantages of solving the CBSE sample papers are discussed below:
1. Order of Solving Questions -
While practising these papers, students can make some examination plans. They can decide which section of the question paper they can solve first based on their weak and strong concepts.
2. Self Assessment -
The CBSE sample papers help students in evaluating themselves. They can practise these papers to check how much they have understood and what are their strengths and weaknesses. They can work on themselves according to their level of preparedness.
3. Time Management -
By practising the sample papers, students can learn to manage their time. They can improve their writing pace. This will enable pupils to complete their question papers before the allotted time. They can use the remaining time in checking their answer sheet.
4. Reduction of Examination Fear -
There are lots of students who feel nervous after seeing a lengthy question paper. This examination fear can be removed if students try to practise as many sample papers as they can. Practising 8 -10 sample papers will boost their confidence and they will be able to sit in the examination room with a relaxed mind.
5. Details of the Question Paper -
With the help of the CBSE sample papers, students will get to know about the exam pattern, the marking scheme, important topics and types of questions asked in the examination.
6. To Stay Updated -
The CBSE exam pattern keeps on changing. Therefore, the sample papers are released by CBSE so that students can know about the new exam pattern. Through these sample papers, students will get an idea about the new type of questions and help them in getting updated.
7. Able to Study in Better Way
To determine the likely questions likely coming to exams, the students will be able to analyse the significant questions as well as the CBSE solutions. They will be able to study more effectively and earn higher grades as a result.
8. Download the PDF Files
Even if you miss some of your courses, you can still learn by downloading the Class 1-12 CBSE solutions from Vedantu. These PDF files provide study aids that will improve your learning, such as notes, solutions, key questions, and other things.
Download the PDF Version of Class 1-12 Sample Questions
Students can now download the free CBSE class 1-12 sample questions from Vedantu right away to understand more about the subjects covered in the course. By downloading and studying from these crucial solutions, students can improve their exam preparation technique. They can learn the proper method to respond to questions to perform better in the exam. Moreover, students will be able to complete their revision early using the key notes and solutions, which will improve their exam results.
FAQs on CBSE Sample Papers for Class 1 to 12: 2024-25
1. Who provides the CBSE sample papers for Classes 1st to 12th?
The CBSE is responsible for providing the sample papers to the students of Class 10th and Class 12th. These sample papers are uploaded a month before the starting of the board examination. The CBSE sample papers are prepared by a panel of subject matter experts so that students can practise them and can score good marks in their examinations. For the students of Classes 1st to 9th and Class 11th, the sample papers are created by the school teachers considering the CBSE guidelines.
2. What is the best time to solve the CBSE sample papers?
Students should solve the CBSE sample papers two or three weeks before their term exams after they have completed their syllabus. They should practise these papers to know about their weaker sections so that they can work on them. Students should spend most of their time solving these question papers. This method will help students in revising their portion; will boost their confidence; help them in concentrating on their studies; improve their mistakes and writing speed and will reduce examination fear.
3. Why should one refer to Vedantu?
All the reading materials at Vedantu are curated by subject-matter experts who have years of experience in the respective field. The content is well-researched and compiled into an easily readable format for the benefit of students. Students can refer to these resources with ease and learn things at their own pace. Most importantly all the content on Vedantu is provided for free and it can be easily downloaded into PDF from both the website and mobile application of Vedantu.
4. How can I download reading material from Vedantu?
Accessing material from Vedantu is extremely easy and student-friendly. Students have to simply visit the website of Vedantu and create an account. Once you have created the account you can simply explore the subjects and chapters that you are looking for. Click on the download button available on the website on Vedantu to download the reading material in PDF format. You can also access all the resources by downloading the Vedantu app from the play store.
5. Will these sample questions help in the final exam?
Yes, many students who are in their class 1-12 academic years will be able to get the benefit by using these sample question answer solutions.