Class 8 Maths ncert solutions: Simplified and Updated for 2023-24 exams
Tiwari Academy presents user-friendly ncert solutions for Class 8 Maths in PDF and videos, perfectly tailored to the Class 8 Maths textbooks from NCERT. Our guides, available in both Hindi and English, are freshly updated for the 2023-24 academic year, offering the latest and most effective Class 8 Maths Solutions for students.
Chapter Wise Class 8 Maths NCERT Solutions
It covers all the questions and even the extra Try These ones. NCERT is a big group that makes school books for Bharat and good news: for 2023-24, there are just 13 chapters in the 8th Maths book, and we’ve got them all covered.
Chapter 1. Rational Numbers
Chapter 2. Linear Equations in one Variable
Chapter 3. Understanding Quadrilaterals
Chapter 4. Data Handling
Chapter 5. Square and Square Roots
Chapter 6. Cube and Cube Roots
Chapter 7. Comparing Quantities
Chapter 8. Algebraic Expressions and Identities
Chapter 9. Mensuration
Chapter 10. Exponents and Powers
Chapter 11. Direct and Inverse Proportions
Chapter 12. Factorization
Chapter 13. Introduction to Graphs
NCERT solutions for class 8 Maths are designed to help students understand and solve the exercises and problems presented in the NCERT class 8 mathematics textbook. Rate and Review these solutions for further improvement. These solutions provide step-by-step explanations and answers for each exercise and chapter, making it easier for students to grasp mathematical concepts and improve their problem-solving skills.
Class 8 is a crucial year in mathematics education, and ncert solutions are widely used by students and teachers in Bharat to prepare for class 8 mathematics exams and build a strong foundation in mathematics. These solutions are available in various formats, including printed books, online platform like Tiwari Academy, PDFs, and digital resources. Students often use NCERT solutions alongside their textbooks to practice and understand mathematical concepts thoroughly.
The effectiveness of any educational resource like class 8 ncert solutions at Tiwari academy can vary depending on individual learning styles and needs, so it’s important for students to explore different resources at website or app and choose the ones that best suit their preferences and goals.
NCERT Solutions for Class 8 Maths in Hindi and English
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Etymology and Evolution of Mathematical Terms
The term “mathematics” comes from the Ancient Greek “máthēma,” meaning “that which is learnt” or “study.” Its meaning evolved over time, and by the 17th century, it began to acquire its current meaning. Interestingly, the term “mathematics” in English was once more commonly associated with astrology rather than the study of numbers and shapes.
8th Maths NCERT solutions are prepared by experts and provide step-by-step explanations. 8th Maths Textbook from NCERT (ncert.nic.in) website and Solutions are described completely showing all steps with formulae. If someone is still facing a problem to understanding the sums please see the videos given here or specify through the “Discussion Forum” section.
With the help of Class VIII Maths NCERT solution, students can understand the concepts better and score good marks in their exams. Get NCERT Solutions for class 8 Maths in PDF file format Hindi medium as well as English medium to download. All the solutions are updated for the academic session 2023-24 based on the latest NCERT Books.
Best way to prepare Class 8 Maths for Exams
For Class 8, excelling in Maths involves a well-organized and dedicated approach to learning. Begin by getting a firm grasp of the Class 8 Maths syllabus, which includes diverse topics like Rational Numbers, Linear Equations, Data Handling, Squares and Square Roots, Cubes and Cube Roots, Comparing Quantities, Algebraic Expressions and Identities, Visualizing Solid Shapes, Mensuration, Exponents and Powers, Direct and Inverse Proportions, Factorization, Introduction to Graphs, and Playing with Numbers. Establish a consistent study routine, setting aside specific times each day for Maths. This helps in building a solid foundation in basic concepts, making it easier to understand more complex topics. Use your textbooks, particularly NCERT, as primary study resources since they offer detailed explanations and a variety of practice problems. Break down the syllabus into smaller sections for focused and manageable study sessions.
Practicing a wide range of mathematical problems is crucial. This should include exercises from your textbook, additional problems from other books, and online resources. Regular practice not only reinforces the concepts but also sharpens your problem-solving skills. If you find certain topics challenging, don’t hesitate to ask for help from teachers or consider joining study groups for collaborative learning. Practice with past papers or sample questions to get used to the exam format and question types, which also helps in improving time management skills. Pay attention to common mistakes and work on correcting them to enhance accuracy.
Balancing your studies with relaxation is important. Make sure to take regular breaks and engage in activities that you enjoy, like sports, music, or any hobby. This helps in keeping your mind fresh and focused. Maintain a positive attitude towards learning and believe in your capability to improve. Regular quizzes or timed practice sessions can be very helpful for self-assessment. They not only aid in identifying areas that need more focus but also boost your confidence. Remember, with consistent effort, a clear understanding of mathematical concepts, and effective time management, you can excel in Class 8 Maths.
Class 8 Maths NCERT Solutions & Main Points of All Chapters
Chapter 1: Rational Numbers
Class 8 Maths Chapter 1 is based on Rations Numbers, which is the collection of Integers, Natural Numbers, Whole Numbers, Decimal and Fractions. To download class 8 Maths, just follow the links given below. There are solutions in Hindi as well as English Medium free to use.
We will learn here the closure property under Addition, Multiplication, Division and Subtraction for Rational Numbers. Exercise 1.1 of Class 8 Maths is covering the questions on Multiplicative Inverse and other properties of Rational Numbers.
Chapter 2: Linear Equations in one Variable
Class 8 Maths Chapter 2 describes how to solve a linear equation in one variable. There are seven main points given in chapter 2 of 8th Mathematics. Get here topics separately the two exercises.
In Exercise 2.1, the simple linear equations in the variable are given to simplify and solve them, whereas Exercise 2.2 contains the questions based on the application of linear equations.
Chapter 3: Understanding Quadrilaterals
Class 8 Maths Chapter 3 deals with the plane curves like various type of polygons as a triangle, quadrilateral, pentagon, hexagon, heptagon, etc. There are total four exercises in class 8 Maths chapter 3. Students can get there solutions from the links given here.
Exercise 3.1 briefs about the interior and exterior parts of a closed figure, diagonals of a polygon, convex and concave polygons and angle sum property of a polygon. All the questions in Exercise 3.2 are following the property of the Measures of the Exterior Angles of a Polygon. Exercise 3.3 is based on types of quadrilaterals like Trapezium, Kite, Parallelogram with its angles and diagonals. Learn here about different types of quadrilaterals in Exercise 3.4. These quadrilaterals are Rhombus, Rectangle and Square.
Chapter 4: Data Handling
Class 8 Maths Chapter 4 starts with the concepts of Class Intervals, Lower and Upper Limits, Range, Class Width and Class Size. There are only two exercises in chapter 4 of class 8th Maths. Solutions links of these exercises are given here.
Here students of class VIII will learn about Histogram. The first exercise that is Exercise 4.1 represents another way of graphical representation, which is Pie Chart or Circle Graph. The second and last topic in Exercise 4.2 is Probability. It describes the concepts of events, outcomes, total favourable events and the total number of events. The Probability is an important topic, even in higher classes.
Chapter 5: Square and Square Roots
In Class 8 Maths Chapter 5, we will learn how to find square or square roots of a number. Square and square roots is one of the most important chapters of class 8th Math. This chapter is useful not only in class 8 but in next classes also. Practice well to learn it better using the solutions given here.
In Exercise 5.1, most of the questions are based on hit and trial method or successive addition method. Exercise 5.2 is related to find the square of a number by just multiplying the number to itself or using the Binomial Formula of expansion. A brief intro about Pythagoras Triplet is also given in the second exercise. In Exercise 5.3, the simple method is given to find square roots of a number by successive subtraction or using Prime Factorisation method. Exercise 5.4 is designed to find the square roots using division methods as well as by estimation.
Chapter 6: Cube and Cube Roots
In Class 8 Maths Chapter 6, we will discuss with the cubes of a number and its cube root also. There are only two exercises in class 8th Maths NCERT (https://ncert.nic.in/) chapter 6, which are given below with the complete solutions.
Exercise 6.1 explain the method of finding cube by adding a consecutive odd number or by using prime factors. Questions related to cube roots are given in Exercise 6.2 of Class 8 Mathematics. Students can learn here to find the cube root of a number using its Prime Factors.
Chapter 7: Comparing Quantities
Class 8 Maths Chapter 7 includes the questions related to ratio and proportion. Find the links given below to practice all the questions of Class 8 Maths chapter 7 in English and Hindi Medium.
In Exercise 7.1, questions are on ratios and percentage with some practical application. Increasing or decreasing of the percentage of given number, profit and loss percentage, discount, sell tax and VAT related questions are there in Exercise 7.2 of Class 8 Maths. Exercise 7.3 covers the questions on Simple (SI) and Compound Interest (CI).
Chapter 8: Algebraic Expressions and Identities
In Class 8 Maths Chapter 8, the concepts of algebraic expression with terms, factors and coefficient of Monomial, Binomial and Trinomials are given. 8th Maths chapter 8 is one of the most important chapters for exam.
Questions of Exercise 8.1 are based on like and unlike terms and addition or subtraction of algebraic expression. Introduction of multiplication of algebraic expression is given in Exercise 8.2 of 8th Maths. Most of the questions carry the product of monomials. Exercise 8.3 provides an overview of the questions in which we multiply a polynomial by a monomial, whereas in Exercise 8.4, we learn how to multiply a polynomial by another one.
Chapter 9: Mensuration
Class 8 Maths Chapter 9 Mensuration is not only the main topic for class 8, but it is important for further classes also. Get here the solutions, and start practicing.
The Exercise 9.1, deals with the areas related to Trapezium and another quadrilateral. In the next step of this chapter, we have to find the surface area of solid objects in Exercise 9.2 of Class 8th NCERT Maths. The volume of these 3D figures can be obtained using the formulae in Exercise 9.3 of 8th Maths.
Chapter 10: Exponents and Powers
In Class 8 Maths Chapter 10, students will study the numbers having negative or positive powers. The exercise 10.1 takes little bit more time as compare to exercise 10.2, get the solutions in link during practice, to help yourself during practice.
Exercise 10.1 is based on the Laws of Exponents. The second exercise explains about the Scientific Form or Standard Form. In 8th mathematics Exercise 10.2, we learn to convert the numbers in the standard form with the help of exponents.
Chapter 11: Direct and Inverse Proportions
Class 8 Maths Chapter 11, we have to check whether the value of both the quantities are increasing or one is increasing and other is decreasing. To practice all the NCERT questions follow the solutions links given below.
Exercise 11.1 contains the basic and easy questions of Direct Proportion, where the two quantities increase or decrease together. Similarly, Exercise 11.2 also deals with Inverse Proportion, where one value is increasing, but other is decreasing.
Chapter 12: Factorization
In Class 8 Maths Chapter 12, we will study about factors of natural numbers as well as algebraic expressions. For any difficulty, first try yourself. If the problem persist just get the solutions and find the systematic way to solve.
In Exercise 12.1, we will make factors by regrouping the terms, whereas, in Exercise 12.2, identities are the main tool to get simple factors of any polynomial. Exercise 12.3 contains questions based on the division of polynomials by another polynomial.
Chapter 13: Introduction to Graphs
Class 8 Maths Chapter 13 describes the methods to plot a Bar Graph, a Pie Chart or Circle Graph, Histograms and a Line Graph. Here the sums are based on formation as well as observation of the graphs.
Most of the questions in Exercise 13.1 are of Line Graphs. Graphs related to two variables are present in Exercise 13.2 based on the application of linear equations in two variables.
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How to use Class 8 Maths NCERT Solutions to get good Marks in Exam?
The NCERT Solutions for Class 8 Maths are modified for academic session 2023-24. Studying class 8 mathematics using NCERT solutions is a great way to ensure a strong foundation in the subject. Start by obtaining a copy of the NCERT textbook for class 8 mathematics. NCERT Solutions for class 8 Mathematics are a valuable resource available on https://www.tiwariacademy.com for students, offering guidance, clarity, and practice to help them excel in their math studies. They are designed to support the NCERT curriculum, making them an ideal tool for students following this educational board’s syllabus in Bharat. This is the primary resource you’ll be working with. Here’s a step-by-step guide on how to do it effectively.
- Step 1: Understand the Syllabus and Focus on NCERT Textbooks for practice.
- Step 2: Solve Examples and use Class 8 Maths NCERT Solutions for practicing exercises.
- Step 3: Follow Class 8 Maths NCERT, Take Notes to clear Doubts.
- Step 4: Use NCERT Solutions for class 8 Mathematics to ensure accuracy of answers.
- Step 5: Use Technology for better revision and take Mock Tests to test yourself.
Step 1: Understand the Syllabus and Focus on NCERT Textbooks for practice.
Step 2: Solve Examples and use Class 8 Maths NCERT Solutions for practicing exercises.
Step 3: Follow Class 8 Maths NCERT, Take Notes to clear Doubts.
Step 4: Use NCERT Solutions for class 8 Mathematics to ensure accuracy of answers.
Step 5: Use Technology for better revision and take Mock Tests to test yourself.
How many chapters are ther in Class 8 Maths?
According to revised syllabus for CBSE 2023-24, there are total 13 Chapters in Class 8 Maths NCERT Book. All chapters are compulsory for the exams. All the chapters are related to each other. Student can get the solutions of each questions of 8th Mathematics here in Hindi and English Medium. The tricky chapters are explained well in video also. The class 8 Maths Solutions are easy to use and understand. Follow the following steps to solve the questions:
1. Read the lesson and examples given before exercise.
2. Try to solve each question with the help of examples.
3. For the difficult questions, take help from PDF solutions.
4. To understand better the concepts, use the video solutions given here.
Which is the most interesting chapter in Class 8 Maths?
The most interesting chapter of class 8 is Chapter 13. To describe in better format videos related to this chapter is also given here. Students of 8th standard can easily understand it using class 8 Maths NCERT Solutions in Hindi or English Medium. Follow the steps to solve the questions of this chapter:
1. Spend time to find out the answer of these questions without taking any help from solutions given on websites.
2. Apply different tricks to solve the puzzles.
3. Discuss the exercise questions with family and friend for fun.
4. Make more similar questions of own to enjoy and learn more.
How can I score good marks in 8th Maths?
There are some easy as well as difficult chapters in all the subjects. Its all varies from student to student. Some student enjoy doing all the time Maths but some get tired and bored in the same calculations. If a student who is somehow weak in Maths, he should start that chapter of Maths, which is most easier for him. Gradually practicing will increase the level of confidence and the interest towards Maths will be generated automatically.
What is better for class 8 Mathematics online or offline mode?
Studying offline through books is always better than any website or other online portals. Offline study using latest NCERT Books for class 8 Maths generates interest to do hard work whereas online portals are good only if you have any doubt in questions. Studying through Phone, laptops, computers, tablets make us mentally tired where studying offline compel us to think more and more about the fact we are studying.
How to score 90% or more marks in class 8 Maths exams?
Mathematics, as we all know, is a practice oriented subject. The more you practice, the more you will understand that will help you score good in the examinations. In Class 8 Maths, everyone should carefully read the examples given in each chapter of mathematics and then solve each question given in the exercises on its own. If the question is not solved or answered, then you should try and try again. Solving the questions by various methods help us to learn many different ways of doing each question. If you have no idea about a question in the exam or do not have complete confidence in any question, then this practice of solving help you here to find proper solutions. We see that even the toughest question gets solved by trying once or twice. In this way. Students will feel that their performance in day to day examinations gets better and easily get 90% or even more marks in the annual examination of Class 8 Maths.
How can I easily pass the Class 8 Maths exam?
There are a total of 13 chapters in the class 8 Maths NCERT Textbook. According to the interest of the students, they find that some chapters are simple but few are difficult one. By solving all the questions of the easy chapters we can easily manage passable marks in 8th Maths. For example, linear equations with one variable, rational numbers, Data Handling, and introduction to graphs are easy.
Which is the easiest chapter of class 8 Maths NCERT?
The easiest chapter in Class 8 Mathematics is chapter 2 Linear Equations in One Variable. It has a total of 2 exercises. Chapter 2 of 8th Maths is easy as well as very useful for examinations. By practicing this chapter, we can score better marks even in less practice. Class 8 Chapter 2 is one of the very important chapters in next classes also.
Which lesson is the most difficult chapter of Class 8 Maths?
Which chapter is difficult and which is simple, generally it can vary from student to student. But most of the students find difficulty in Chapter 9 algebraic expressions and identities of Class 8 Maths. Most of the students face difficulties during implementation of identities in questions. Even after solving each question repeatedly, one is not able to get the confidence which is easily found in the rest of the chapters.