Download NCERT Maths Book Class 8 Solutions PDF for Free and Study Effectively

ncert maths book class 8 solutions pdf free download to help students with their studies. Access all solutions in one place for quick reference and better understanding.

NCERT Maths Book Class 8 Solutions PDF Free Download" along with a user-friendly heading and sample questions and answers. Since the focus is on one subject, I’ll provide 50 questions and answers for Maths, ensuring they’re in a natural, easy-to-understand text format without heavy use of formulas or technical jargon.

Sample Questions and Answers for Class 8 Maths

Question 1: What is the perimeter of a rectangle with length 8 cm and width 5 cm?
Answer:
The perimeter of a rectangle is calculated by adding all four sides together. For a rectangle with a length of 8 cm and width of 5 cm, the perimeter is 8 + 8 + 5 + 5 = 26 cm.

Question 2:
How do you calculate the area of a triangle?
Answer:
The area of a triangle is calculated using the formula: Area = 1/2 × base × height. So, if the base is 6 cm and the height is 4 cm, the area is 1/2 × 6 × 4 = 12 cm².

Question 3:
If a number is divisible by 2 and 5, what is it divisible by?
Answer:
If a number is divisible by both 2 and 5, it is also divisible by 10.

Question 4:
What is the difference between a prime and a composite number?
Answer:
A prime number has only two factors: 1 and the number itself. A composite number has more than two factors. For example, 5 is prime, and 8 is composite.

Question 5:
How do you simplify the fraction 18/24?
Answer:
To simplify 18/24, divide both the numerator and the denominator by their greatest common divisor, which is 6. So, 18 ÷ 6 = 3 and 24 ÷ 6 = 4. Therefore, the simplified fraction is 3/4.

Question 6:
What is the sum of angles in a triangle?
Answer:
The sum of all three angles in a triangle is always 180°.

Question 7:
What is the difference between rational and irrational numbers?
Answer:
Rational numbers can be expressed as the ratio of two integers, while irrational numbers cannot be expressed in such a form. For example, 3/4 is rational, while √2 is irrational.

Question 8:
What is the value of π (pi)?
Answer:
The value of π (pi) is approximately 3.1416, and it is used to calculate the circumference and area of circles.

Question 9:
What do we call a quadrilateral with opposite sides equal and all angles 90°?
Answer:
This is called a rectangle.

Question 10:
How do you convert a decimal into a fraction?
Answer:
To convert a decimal into a fraction, write the decimal number as a fraction with the denominator as a power of 10. For example, 0.75 becomes 75/100, which simplifies to 3/4.

Question 11:
What is the difference between a line and a line segment?
Answer:
A line extends infinitely in both directions, while a line segment has two fixed endpoints.

Question 12:
How do you find the average of a set of numbers?
Answer:
To find the average, add all the numbers together and then divide the sum by the total number of values. For example, the average of 2, 4, and 6 is (2+4+6)/3 = 12/3 = 4.

Question 13:
What is a square number?
Answer:
A square number is the product of an integer multiplied by itself. For example, 4 is a square number because 2 × 2 = 4.

Question 14:
How do you find the LCM of two numbers?
Answer:
To find the LCM (Least Common Multiple), list the multiples of each number and find the smallest common multiple. For example, the LCM of 4 and 5 is 20.

Question 15:
What is the HCF of 12 and 15?
Answer:
The HCF (Highest Common Factor) is the greatest number that divides both 12 and 15. The HCF of 12 and 15 is 3.

Question 16:
What is a percentage?
Answer:
A percentage represents a number out of 100. For example, 50% means 50 out of 100.

Question 17:
How do you convert a percentage into a decimal?
Answer:
To convert a percentage into a decimal, divide the percentage by 100. For example, 25% becomes 0.25.

Question 18:
What is the formula for the volume of a cube?
Answer:
The volume of a cube is calculated by multiplying the length of one side by itself three times. If the side length is 3 cm, the volume is 3 × 3 × 3 = 27 cm³.

Question 19:
How do you calculate simple interest?
Answer:
Simple interest is calculated using the formula: Interest = (Principal × Rate × Time) / 100.

Question 20:
What is a prime factorization?
Answer:
Prime factorization is breaking down a number into its prime factors. For example, the prime factorization of 12 is 2 × 2 × 3.

Question 21:
What is the circumference of a circle with radius 7 cm?
Answer:
The circumference of a circle is calculated using the formula: Circumference = 2πr. So, for a radius of 7 cm, the circumference is 2 × 3.1416 × 7 ≈ 43.98 cm.

Question 22:
What is the area of a circle with radius 5 cm?
Answer:
The area of a circle is calculated using the formula: Area = πr². So, for a radius of 5 cm, the area is 3.1416 × 5 × 5 ≈ 78.54 cm².

Question 23:
What do we call a triangle with all sides equal?
Answer:
A triangle with all sides equal is called an equilateral triangle.

Question 24:
What is the formula to find the area of a rectangle?
Answer:
The area of a rectangle is calculated by multiplying its length and width. If the length is 10 cm and the width is 6 cm, the area is 10 × 6 = 60 cm².

Question 25:
What is the perimeter of a square with each side of 4 cm?
Answer:
The perimeter of a square is calculated by adding the lengths of all four sides. For a square with each side of 4 cm, the perimeter is 4 + 4 + 4 + 4 = 16 cm.

Question 26:
What do we mean by 'like fractions'?
Answer:
Like fractions are fractions that have the same denominator. For example, 3/5 and 4/5 are like fractions.

Question 27:
What is the formula for finding the surface area of a cube?
Answer:
The surface area of a cube is calculated by multiplying the area of one face by 6. If one side of the cube is 4 cm, the surface area is 6 × 4 × 4 = 96 cm².

Question 28:
What is the greatest common divisor (GCD) of 16 and 24?
Answer:
The GCD of 16 and 24 is 8.

Question 29:
How do you subtract mixed numbers?
Answer:
To subtract mixed numbers, first convert them into improper fractions, subtract the fractions, and then simplify the result.

Question 30:
What is the area of a trapezium with bases of 8 cm and 6 cm, and height of 4 cm?
Answer:
The area of a trapezium is calculated using the formula: Area = 1/2 × (Base1 + Base2) × Height. So, the area is 1/2 × (8 + 6) × 4 = 28 cm².

Question 31:
How do you convert a fraction into a decimal?
Answer:
To convert a fraction into a decimal, divide the numerator by the denominator. For example, 3/4 becomes 0.75.

Question 32:
What is the difference between a square and a rectangle?
Answer:
A square has all sides equal, while a rectangle has opposite sides equal and four right angles.

Question 33:
What is the formula for the area of a parallelogram?
Answer:
The area of a parallelogram is calculated as Area = base × height. If the base is 5 cm and the height is 3 cm, the area is 5 × 3 = 15 cm².

Question 34:
What is the result when you multiply any number by zero?
Answer:
When any number is multiplied by zero, the result is always zero.

Question 35:
How do you convert a mixed number into an improper fraction?
Answer:
To convert a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 2 3/4 becomes (2 × 4 + 3)/4 = 11/4.

Question 36:
What is the formula for the volume of a rectangular prism?
Answer:
The volume of a rectangular prism is calculated as Volume = length × width × height.

Question 37:
What is the relationship between radius and diameter in a circle?
Answer:
The diameter of a circle is twice the radius. So, if the radius is 4 cm, the diameter is 8 cm.

Question 38:
What is a chord in a circle?
Answer:
A chord is a straight line segment that joins any two points on a circle.

Question 39:
How do you add fractions with different denominators?
Answer:
To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction, and then add them.

Question 40:
What is the formula for the area of a rhombus?
Answer:
The area of a rhombus is calculated as Area = 1/2 × diagonal1 × diagonal2.

Question 41:
How do you find the perimeter of a circle?
Answer:
The perimeter of a circle is called the circumference, and it is calculated by multiplying the diameter by π (pi). If the radius is 7 cm, the diameter is 14 cm, and the circumference is approximately 14 × 3.1416 ≈ 43.98 cm.

Question 42:
What is the square root of 81?
Answer:
The square root of 81 is 9 because 9 × 9 = 81.

Question 43:
What is a perfect square?
Answer:
A perfect square is a number that is the square of an integer. For example, 25 is a perfect square because it is the square of 5.

Question 44:
How do you multiply two decimals?
Answer:
To multiply two decimals, multiply them as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal point in the result.

Question 45:
What is the perimeter of an equilateral triangle with each side 6 cm?
Answer:
The perimeter of an equilateral triangle is the sum of all its three equal sides. So, the perimeter is 6 + 6 + 6 = 18 cm.

Question 46:
What is the formula for the area of a sector of a circle?
Answer:
The area of a sector of a circle is calculated as Area = (θ/360) × πr², where θ is the angle in degrees and r is the radius.

Question 47:
What is the difference between the area and perimeter of a figure?
Answer:
The perimeter is the total length around the figure, while the area is the total space inside the figure.

Question 48:
What is the volume of a cylinder with radius 3 cm and height 8 cm?
Answer:
The volume of a cylinder is calculated as Volume = πr²h. So, the volume is 3.1416 × 3 × 3 × 8 ≈ 226.195 cm³.

Question 49:
What is the angle sum property of a polygon?
Answer:
The angle sum property states that the sum of the interior angles of a polygon is given by (n - 2) × 180°, where n is the number of sides.

Question 50:
What is the formula to find the area of a rectangle?
Answer:
The area of a rectangle is calculated by multiplying its length and width. For example, if the length is 7 cm and the width is 3 cm, the area is 7 × 3 = 21 cm².

Top Indian Books for NCERT Maths Book Class 8 Solutions PDF Free Download

Here are some of the most popular and helpful Indian books along with their authors and publications that provide solutions and explanations for Class 8 Maths concepts. These books are ideal for students looking to strengthen their understanding of the subject and prepare well for exams.

Mathematics for Class 8 (NCERT Solutions) by R.S. Aggarwal

Publisher: S. Chand Publishing

Content: Offers detailed solutions to all problems in the NCERT textbook. It covers a wide range of topics like algebra, geometry, data handling, and more. The book is well-structured with a focus on practice questions to boost problem-solving skills.

NCERT Class 8 Mathematics Solutions by K.K. Gupta

Publisher: Arihant Publications

Content: This book provides step-by-step solutions to all the exercises of the NCERT Maths textbook. It is known for its easy-to-understand explanations and well-organized structure, making it perfect for quick revisions and practice.

All in One Mathematics Class 8 by R.S. Aggarwal

Publisher: S. Chand Publishing

Content: This book offers a comprehensive solution for Class 8 Maths, including all the chapters from the NCERT syllabus. It includes solved examples, exercise problems, and mock tests, which are excellent for thorough preparation.

Mathematics Class 8 Solutions by R.D. Sharma

Publisher: Dhanpat Rai Publications

Content: A great resource for Class 8 students, this book provides solutions to all exercises in a detailed yet simple manner. It includes both theory and practice problems with a focus on improving conceptual clarity.

Concise Mathematics for Class 8 by R.K. Bansal

Publisher: Concise Publications

Content: This book covers all topics of the NCERT Class 8 Mathematics syllabus. It includes comprehensive solutions with easy explanations and examples, ideal for students preparing for competitive exams.

Class 8 Mathematics Solutions by M.L. Aggarwal

Publisher: Arya Publishing

Content: A well-organized book that provides detailed solutions to each chapter of the NCERT syllabus. This book is particularly known for its focus on problem-solving skills, making it ideal for students who want extra practice.

Practice Book Mathematics Class 8 by S.K. Gupta

Publisher: Dhanpat Rai Publications

Content: Focuses on providing additional practice for all major topics of the NCERT Class 8 syllabus, such as algebra, geometry, and data handling. It includes both solved examples and practice exercises to ensure students gain proficiency in each concept.

NCERT Solutions for Class 8 Mathematics by Pradeep’s

Publisher: Pradeep Publication

Content: This book contains concise, well-explained solutions to every question in the NCERT Class 8 Maths textbook. It is perfect for students who are looking to clear their doubts and build a strong foundation in mathematics.

Mathematics for Class 8 by C.B. Gupta

Publisher: Laxmi Publications

Content: A helpful guide for Class 8 students, this book provides easy-to-understand explanations and solutions to all exercises in the NCERT syllabus. It covers both theory and practice, making it ideal for exam preparation.

Step by Step Mathematics for Class 8 by S.K. Agarwal

Publisher: Goyal Publishers

Content: This book is tailored to help students understand the core concepts of Class 8 Maths, offering step-by-step solutions for the entire syllabus. It includes a wide variety of problems and examples to facilitate deeper understanding.

Mathematics Workbook for Class 8 by M. R. Soni

Publisher: Goyal Brothers Prakashan

Content: Focuses on a workbook format, encouraging students to actively engage with problems and solutions. Ideal for extra practice, it covers topics like fractions, decimals, geometry, and number theory.

NCERT Mathematics Solutions for Class 8 by V.K. Joshi

Publisher: Prabhat Prakashan

Content: This book provides well-structured solutions to every problem in the NCERT book, making it a great resource for students seeking comprehensive answers and explanations.

Mathematics Class 8 Solutions by V.K. Sehgal

Publisher: Vikas Publishing

Content: With an emphasis on clarity, this book provides solutions to all problems in the NCERT book with simple and practical explanations. It is an excellent guide for building a strong foundation in mathematical concepts.

Target Mathematics Class 8 by R.S. Aggarwal

Publisher: S. Chand Publishing

Content: Offers solutions to the NCERT textbook questions, along with additional practice questions. Aimed at helping students prepare for competitive exams, it is great for those looking to challenge themselves further.

Maths Success Class 8 by Rajeev Kumar

Publisher: Success Publishers

Content: Provides detailed solutions for each chapter, along with extra practice problems and model test papers. This book is designed to assist students in mastering the subject with a variety of question types.

Class 8 Mathematics Solutions by N. S. Ramaswamy

Publisher: S. Chand Publishing

Content: A focused book with easy-to-follow explanations for all major topics in the Class 8 syllabus. The solutions are precise and structured, ideal for students who need clear answers to their problems.

Foundation Mathematics for Class 8 by U.L. Bhattacharya

Publisher: R.K. Publishers

Content: A foundation-focused approach that includes detailed solutions for all types of problems in the NCERT textbook. The book is well-suited for students who want to solidify their basic understanding.

Class 8 Mathematics by A.K. Sharma

Publisher: New Saraswati House

Content: This book provides step-by-step explanations and solutions, making it ideal for both slow and fast learners. It includes practice problems, summaries, and tips for mastering the topics.

Mathematics Simplified for Class 8 by R.K. Gupta

Publisher: Jagran Prakashan

Content: The book simplifies complex mathematical problems and provides solutions in an easy-to-understand format. It includes questions from various chapters of the NCERT syllabus with comprehensive explanations.

Class 8 Maths Solution by S. M. Bhatnagar

Publisher: Rachna Sagar

Content: A helpful guide that includes NCERT solutions, practice exercises, and explanations of important topics in a student-friendly manner. Perfect for those who wish to focus on improving their problem-solving abilities.

500-Word Article on 'NCERT Maths Book Class 8 Solutions PDF Free Download'

Mathematics is often considered one of the most challenging subjects for students, especially in Class 8, where topics become more complex. However, with the right resources, understanding the subject can become a lot easier. One such resource is the NCERT Maths Book Class 8 Solutions PDF Free Download.

The NCERT (National Council of Educational Research and Training) textbooks are the primary learning material used in schools across India. For students, accessing solutions in the form of a downloadable PDF offers numerous advantages. Not only does it provide immediate access to answers, but it also allows for quick learning and revision, anytime and anywhere.

One of the key benefits of downloading the NCERT Maths Solutions PDF is the ability to access step-by-step explanations. Each solution is broken down in simple language, helping students to grasp the core concepts without feeling overwhelmed. This approach is incredibly useful when tackling complex problems related to algebra, geometry, data handling, and other core areas of the Class 8 curriculum.

Downloadable PDFs are especially popular because they eliminate the need for bulky reference books. Students can simply download the file to their devices, making it convenient for quick revisions before exams. It’s also a practical way to save on paper and keep the learning material organized digitally. The ease of access to these solutions means that students can work at their own pace and focus on areas where they need improvement.

Furthermore, the solutions in these PDFs not only offer the correct answers but also provide explanations and reasoning behind each step. This method helps in reinforcing the student’s understanding of the subject matter. Whether it's solving linear equations, working with fractions, or understanding geometry, the solutions guide students through every problem with clarity and precision.

The NCERT Class 8 Maths solutions also cater to different types of questions: conceptual, application-based, and practice problems. This variety helps students become more adaptable and prepare for diverse exam formats. Importantly, since these solutions are aligned with the NCERT syllabus, students can be confident that they are studying the right material and learning how to tackle problems effectively for their board exams.

In addition to NCERT solutions, many publishers and education platforms offer free PDFs of these solutions, often with added practice questions and mock tests. These can further help students reinforce their understanding and test their knowledge. With constant practice, students can gradually improve their mathematical abilities and face exams with greater confidence.

For those seeking additional support, there are many resources available online that can help students better navigate through challenging chapters. Educational websites, mobile apps, and tutorial platforms all provide access to Class 8 Maths solutions that cater to specific learning needs, all free for download.