NCERT Solutions for Class 8 Maths: Mathematics is one of the most important subjects for CBSE Class 8. However, this subject requires continuous efforts and practice as well as a good understanding of mathematical concepts. That’s where Class 8 Maths NCERT Solutions help students. Prepared by a team of academic experts, these solutions will guarantee that you don’t miss a single question in the final exam. Maths NCERT Solutions Class 8 are prepared in accordance with the latest CBSE curriculum and NCERT syllabus.
NCERT Solutions for Class 8 Science 
If you want to get free NCERT Maths Class 8 PDF, then you can refer to this article. We have provided the solutions chapterwise so that you can focus on the chapter in which you are facing difficulty understanding. This will save you a lot of time and effort. NCERT Maths Solutions Class 8 by Embibe is the most reliable and accurate solutions that you can find online. You can view the solutions here or download them as a PDF and refer to them anytime.
Chapterwise NCERT Solutions For Class 8 Maths
Check the NCERT Solutions Class 8 Maths for all chapters:
NCERT Maths Book Class 8 Solutions PDF – Free Download
 NCERT Solutions for Class 8 Maths Chapter 1: Rational Numbers
 NCERT Solutions for Class 8 Maths Chapter 2: Linear Equations in One Variable
 NCERT Solutions for Class 8 Maths Chapter 3: Understanding Quadrilaterals
 NCERT Solutions for Class 8 Maths Chapter 4: Practical Geometry
 NCERT Solutions for Class 8 Maths Chapter 5: Data Handling
 NCERT Solutions for Class 8 Maths Chapter 6: Squares and Square Roots
 NCERT Solutions for Class 8 Maths Chapter 7: Cubes and Cube Roots
 NCERT Solutions for Class 8 Maths Chapter 8: Comparing Quantities
 NCERT Solutions for Class 8 Maths Chapter 9: Algebraic Expressions and Identities
 NCERT Solutions for Class 8 Maths Chapter 10: Visualizing Solid Shapes
 NCERT Solutions for Class 8 Maths Chapter 11: Mensuration
 NCERT Solutions for Class 8 Maths Chapter 12: Exponents & Powers
 NCERT Solutions for Class 8 Maths Chapter 13: Direct and Inverse Proportions
 NCERT Solutions for Class 8 Maths Chapter 14: Factorization
 NCERT Solutions for Class 8 Maths Chapter 15: Introduction to Graphs
 NCERT Solutions for Class 8 Maths Chapter 16: Playing with Numbers
Get 8th Class Maths guide pdf free download link below:
NCERT Solutions for Class 8 Maths All Chapter PDF Download
Chapterwise NCERT Solutions Maths Class 8: Chapter Descriptions
All students are advised to refer to NCERT Solutions for Class 8 by Embibe to score high marks in the final exams. Our academic experts have solved all the exercise questions keeping in mind the latest syllabus prescribed by CBSE board. We have prepared NCERT Class 8 Mathematics Book Solutions in a manner that any 8th class student can understand them and ace the exam.
Chapter 1: Rational Numbers  Chapter 2: Linear Equations in One Variable 
Chapter 3: Understanding Quadrilaterals  Chapter 4: Practical Geometry 
Chapter 5: Data Handling  Chapter 6: Square & Square Roots 
Chapter 7: Cubes & Cube Roots  Chapter 8: Comparing Quantities 
Chapter 9: Algebraic Expressions and Identities  Chapter 10: Visualizing Solid Shapes 
Chapter 11: Mensuration  Chapter 12: Exponents & Powers 
Chapter 13: Direct & Inverse Proportions  Chapter 14: Factorization 
Chapter 15: Introduction to Graphs  Chapter 16: Playing with Numbers 
In the subsequent sections, we have provided chapter descriptions along with all the exercises and NCERT Solutions of Class 8 Maths.
Class 8 Maths Chapter 1: Rational Numbers
NCERT Solutions for Class 8 Maths Chapter 1: Recognizing different types of numbers forms the basis of Maths. In this chapter, you will learn about real numbers, whole numbers, natural numbers, integers, and fractions, such as ½, ¾, etc., and how to add, subtract, multiply, and divide fractions.
 1.1 Introduction
 1.2 Properties Of Rational Numbers
 Closure
 Commutativity
 Associativity
 The role of zero 0
 The role of 1
 Negative of a number
 Reciprocal
 Distributivity of multiplication over addition for rational numbers
 1.3 Representation Of Rational Numbers On The Number Line
 1.4 Rational Numbers Between Two Rational Numbers
Maths Class 8 NCERT Solutions Chapter 1 Exercises  Number of Questions 
Exercise 1.1  11 
Exercise 1.2  7 
Download – NCERT Solutions for Class 8 Maths Chapter 1 PDF 
Class 8 Maths Chapter 2: Linear Equations In One Variable
NCERT Solutions for Class 8 Maths Chapter 2: In this chapter, linear equations with one variable are introduced to students. Equations such as 2x – 3 = 7 which have only one variable “x” are known as linear equations with one variable. The chapter contains problems where students have to find the value of variables through such equations, simplify equations, and by applying them in realistic scenarios. The subtopics in this chapter are listed below:
 2.1 Introduction
 2.2 Solving Equations Which Have Linear Expressions On One Side And Numbers On The Other Side
 2.3 Some Applications
 2.4 Solving Equations Having The Variable On Both Sides
 2.5 Some More Applications
 2.6 Reducing Equations To Simpler Form
 2.7 Equations Reducible To The Linear Form
Maths Class 8 NCERT Solutions Chapter 2 Exercises  No. of Questions 
Exercise 2.1  12 
Exercise 2.2  16 
Exercise 2.3  10 
Exercise 2.4  10 
Exercise 2.5  10 
Exercise 2.6  7 
Download – NCERT Solutions for Class 8 Maths Chapter 2 PDF 
Class 8 Maths Chapter 3: Understanding Quadrilaterals
NCERT Solutions for Class 8 Maths Chapter 3: In this chapter, we understand different types of polygons and their properties. Any closed shape or curves do not make a polygon, but when closed curves are made of only line segments, they can be referred to as polygons. The polygon can have n number of sides, starting from a triangle with three sides. The subtopics in this chapter are listed below:
 3.1 Introduction
 3.2 Polygons
 Classification of polygons
 Diagonals
 Convex and concave polygons
 Regular and irregular polygons
 Angle sum property
 3.3 Sum Of The Measures Of The Exterior Angles Of A Polygon
 3.4 Kinds Of Quadrilaterals
 Trapezium
 Kite
 Parallelogram
 Elements of a parallelogram
 Angles of a parallelogram
 Diagonals of a parallelogram
 3.5 Some Special Parallelograms
 Rhombus
 Rectangle
 Square
Maths Class 8 NCERT Solutions Chapter 3 Exercises  Number of Questions 
Exercise 3.1  7 
Exercise 3.2  6 
Exercise 3.3  12 
Exercise 3.4  6 
Download – NCERT Solutions for Class 8 Maths Chapter 3 PDF 
Class 8 Maths Chapter 4: Practical Geometry
NCERT Solutions for Class 8 Maths Chapter 4: After constructing triangles in Class 7, here we figure out how to construct unique quadrilaterals when you are given lengths of sides, diagonals, angles, or other special properties. The subtopics in this chapter are listed below:
 4.1 Introduction
 4.2 Constructing A Quadrilateral
 When the lengths of four sides and a diagonal are given
 When two diagonals and three sides are given
 When two adjacent sides and three angles are known
 When three sides and two included angles are given
 4.3 Some Special Cases
Maths Class 8 NCERT Solutions Chapter 4 Exercises  No. of Questions 
Exercise 4.1  1 
Exercise 4.2  1 
Exercise 4.3  1 
Exercise 4.4  1 
Exercise 4.5  4 
Download – NCERT Solutions for Class 8 Maths Chapter 4 PDF 
Class 8 Maths Chapter 5: Data Handling
NCERT Solutions for Class 8 Maths Chapter 5: When Cricket or Football is being played, a scoreboard is kept which records runs/goals, run rate, best scoring player, etc. These are called data points. When we have raw data such as kilometers driven, the number of marks in a subject, number of biscuits, etc., we can display such data graphically, which is easier to understand. The subtopics in this chapter are listed below:
 5.1 Looking For Information
 5.2 Organising Data
 5.3 Grouping Data
 Bars with a difference
 5.4 Circle Graph Or Pie Chart
 5.5 Chance And Probability
 Getting a result
 Equally likely outcomes
 Linking chances to probability
 Outcomes as events
 Chance and probability related to real life
Maths Class 8 NCERT Solutions Chapter 5 Exercises  No. of Questions 
Exercise 5.1  5 
Exercise 5.2  5 
Exercise 5.3  6 
Download – NCERT Solutions for Class 8 Maths Chapter 5 PDF 
Class 8 Maths Chapter 6: Squares And Square Roots
NCERT Solutions for Class 8 Maths Chapter 6: When a number is multiplied by itself, such as 3×3, the product 9 can be considered as 3squared (3^{2}). Also, from a squared number such as 9 or 25, we can also find the square root of that number, for example, the square root of 25 is 5.
The subtopics in this chapter are listed below:
 6.1 Introduction
 6.2 Properties Of Square Numbers
 6.3 Some More Interesting Patterns
 6.4 Finding The Square Of A Number
 Other patterns in squares
 Pythagorean triplets
 6.5 Square Roots
 Finding Square Roots
 Finding Square Roots Through Repeated Subtraction
 Finding Square Roots Through Prime Factorization
 Finding Square Roots By Division Method
 6.6 Square Roots of Decimals
 6.7 Estimating Square Root
Maths Class 8 NCERT Solutions Chapter 6 Exercises  No. of Questions 
Exercise 6.3  9 
Exercise 6.3  2 
Exercise 6.3  10 
Exercise 6.3  9 
Download – NCERT Solutions for Class 8 Maths Chapter 6 PDF 
Class 8 Maths Chapter 7: Cubes And Cube Roots
NCERT Solutions for Class 8 Maths Chapter 7: After learning about squares and square roots, this chapter delves into cubes and cube roots. For instance, the cube of 3 (3^{3}) is 3x3x3 = 27. And similarly, the cube root of 64 is 4 as 64 = 4x4x4. This chapter also explains how to find cube roots through factorization. The subtopics in this chapter are listed below:
 7.1 Introduction
 7.2 Cubes
 Some interesting patterns
 Smallest multiple that is a perfect cube
 7.3 Cube Roots
 Cube roots through prime factorization method
 Cube root of a cube number
Maths Class 8 NCERT Solutions Chapter 7 Exercises  No. of Questions 
Exercise 7.1  4 
Exercise 7.2  3 
Download – NCERT Solutions for Class 8 Maths Chapter 7 PDF 
Class 8 Maths Chapter 8: Comparing Quantities
NCERT Solutions for Class 8 Maths Chapter 8: Maths is very useful in daytoday life. While finding the discounted price of a product, while baking a cake, or finding the interest of a loan, etc. we need to know how to do these calculations to ensure we aren’t cheated financially. This chapter includes ratios and percentages, tax and interests, profit and loss, and other applications of these concepts. The subtopics in this chapter are listed below:
 8.1 Recalling Ratios And Percentages
 8.2 Finding The Increase Or Decrease percentage
 8.3 Finding Discounts
 Estimation in percentages
 8.4 Prices Related To Buying And Selling (Profit And Loss)
 Finding cost price/selling price, profit /loss
 8.5 Sales Tax/Value Added Tax
 8.6 Compound Interest
 8.7 Deducing A Formula For Compound Interest
 8.8 Rate Compounded Annually Or Half Yearly (SemiAnnually)
 8.9 Applications Of Compound Interest Formula
Maths Class 8 NCERT Solutions Chapter 8 Exercises  No. of Questions 
Exercise 8.1  6 
Exercise 8.1  10 
Exercise 8.1  12 
Download – NCERT Solutions for Class 8 Maths Chapter 8 PDF 
Class 8 Maths Chapter 9: Algebraic Expressions And Identities
NCERT Solutions for Class 8 Maths Chapter 9: In Algebra, solving equations is a very basic skill to be learned. In order to do that, it is important to learn about expressions, terms, factors, coefficients, variables, and other related terms. The subtopics in this chapter are listed below:
Algebra Formulas for Class 8 
 9.1 What Are Expressions?
 9.2 Terms, Factors, And Coefficients
 9.3 Monomials, Binomials, And Polynomials
 9.4 Like And Unlike Terms
 9.5 Addition And Subtraction Of Algebraic Expressions
 9.6 Multiplication Of Algebraic Expressions: Introduction
 9.7 Multiplying A Monomial By A Monomial
 Multiplying two monomials
 Multiplying three or more monomials
 9.8 Multiplying A Monomial By A Polynomial
 Multiplying a monomial by a binomial
 Multiplying a monomial by a trinomial
 9.9 Multiplying A Polynomial By A Polynomial
 Multiplying a binomial by a binomial
 Multiplying a binomial by a trinomial
 9.10 What Is An Identity?
 9.11 Standard Identities
 9.12 Applying Identities
Maths Class 8 NCERT Solutions Chapter 9 Exercises  No. of Questions 
Exercise 9.1  4 
Exercise 9.2  5 
Exercise 9.3  5 
Exercise 9.4  3 
Exercise 9.5  8 
Download – NCERT Solutions for Class 8 Maths Chapter 9 PDF 
Class 8 Maths Chapter 10: Visualizing Solid Shapes
NCERT Solutions for Class 8 Maths Chapter 10: This is a very fun and important chapter. It is all about visualizing shapes in things around us, such as bottles, boxes, houses, tv, etc., and matching them with shapes we have already learned, such as cylinders, circles, hexagons, etc. The chapter urges us to look at the world in a different way and helps us make sense of how the world is shaped.
The subtopics in this chapter are listed below:
 10.1 Introduction
 10.2 Views Of 3dShapes
 10.3 Mapping Space Around Us
 10.4 Faces, Edges, And Vertices
Maths Class 8 NCERT Solutions Chapter 10 Exercises  No. of Questions 
Exercise 10.1  4 
Exercise 10.2  4 
Exercise 10.3  8 
Download – NCERT Solutions for Class 8 Maths Chapter 10 PDF 
Class 8 Maths Chapter 11: Mensuration
NCERT Solutions for Class 8 Maths Chapter 11: After learning to identify geometric shapes around us, we learn in this chapter how to measure the size and area of such geometric figures. The chapter includes calculation of area and volume for trapezium, quadrilateral, polygons, cube, cuboid, etc. by learning formulas. The subtopics in this chapter are listed below:
 11.1 Introduction
 11.2 Let Us Recall
 11.3 Area Of Trapezium
 11.4 Area Of A General Quadrilateral
 Area of special quadrilaterals
 11.5 Area Of A Polygon
 11.6 Solid Shapes
 11.7 Surface Area Of Cube, Cuboid, and Cylinder
 Cuboid
 Cube
 Cylinder
 11.8 Volume Of Cube, Cuboid, and Cylinder
 Cuboid
 Cube
 Cylinder
 11.9 Volume And Capacity
Maths Class 8 NCERT Solutions Chapter 11 Exercises  No. of Questions 
Exercise 11.1  5 
Exercise 11.2  11 
Exercise 11.3  10 
Exercise 11.4  8 
Download – NCERT Solutions for Class 8 Maths Chapter 11 PDF 
NCERT Solutions For Class 8 Maths Chapter 12: Exponents And Powers
NCERT Solutions for Class 8 Maths Chapter 12: Coming back to Algebra, we learn about exponents. So, when we square a number (multiply it by the same number), we can denote it like 3^{2}. Here, 3 is the exponent and 2 is the power. We also learn in this chapter about how negative exponents and negative power values can be calculated. The subtopics in this chapter are listed below:
 12.1 Introduction
 12.2 Powers With Negative Exponents
 12.3 Laws Of Exponents
 12.4 Use Of Exponents To Express Small Numbers In Standard Form
 Comparing very large and very small numbers
Maths Class 8 NCERT Solutions Chapter 12 Exercises  No. of Questions 
Exercise 12.1  7 
Exercise 12.2  4 
Download – NCERT Solutions for Class 8 Maths Chapter 12 PDF 
Class 8 Maths Chapter 13: Direct And Inverse Proportions
NCERT Solutions for Class 8 Maths Chapter 13: When we go to a fruit stall wanting to buy an apple, we check the price. If the price of an apple is 20 Rupees, we have to pay 40 to buy 2 apples. The more apples we buy, the more money we pay. This indicates how the number of apples and price are directly related. At times, such values are inversely related, and this chapter goes into practical problems and shows us how we can solve them. The subtopics in this chapter are listed below:
 13.1 Introduction
 13.2 Direct Proportion
 13.3 Inverse Proportion
Maths Class 8 NCERT Solutions Chapter 13 Exercises  No. of Questions 
Exercise 13.1  10 
Exercise 13.2  11 
Download – NCERT Solutions for Class 8 Maths Chapter 13 PDF 
Class 8 Maths Chapter 14: Factorization
NCERT Solutions for Class 8 Maths Chapter 14: Every big number (other than a prime number) can be made up by multiplying smaller numbers. Such a number can be called a composite number. In this chapter, we learn how to determine the possible factors of a number. For example, 50 can be factorized as 5 x 5 x 2. We can factorize numbers till we reach prime factors, and this is known as prime factorization. The subtopics in this chapter are listed below:
 14.1 Introduction
 Factors of natural numbers
 Factors of algebraic expressions
 14.2 What Is Factorisation?
 Method of common factors
 Factorization by regrouping terms
 Factorization using identities
 Factors of the form (x+a) (x+b)
 14.3 Division Of Algebraic Expressions
 Division of a monomial by another monomial
 Division of a polynomial by a monomial
 14.4 Division Of Algebraic Expressions Continued (polynomial ÷ Polynomial)
 14.5 Can You Find The Error?
Maths Class 8 NCERT Solutions Chapter 14 Exercises  No. of Questions 
Exercise 14.1  3 
Exercise 14.2  5 
Exercise 14.3  5 
Exercise 14.4  21 
Download – NCERT Solutions for Class 8 Maths Chapter 14 PDF 
Class 8 Maths Chapter 15: Introduction to Graphs
NCERT Solutions for Class 8 Maths Chapter 15: After Algebra, we go into statistics with graphs. So, in data handling, we learned about how numbers or multiple values can be shown visually through bars. Similarly, we will learn here how to show data through bar graphs, pie charts, histograms, etc., and also understand how to read important information from such graphs.
The subtopics in this chapter are listed below:
 15.1 Introduction
 Bar Graph
 Pie Graph
 Histogram
 Line Graph
 15.2 Linear Graphs
 Location of a point
 Coordinates
 15.3 Some Applications
Maths Class 8 NCERT Solutions Chapter 15 Exercises  No. of Questions 
Exercise 15.1  7 
Exercise 15.2  4 
Exercise 15.3  2 
Download – NCERT Solutions for Class 8 Maths Chapter 15 PDF 
Class 8 Maths Chapter 16: Playing with Numbers
NCERT Solutions for Class 8 Maths Chapter 16: In the final chapter, we have fun with numbers. Through different games and challenges, we learn how numbers work. Through different types of numbers, we examine the divisibility of numbers as well. The subtopics in this chapter are listed below:
 16.1 Introduction
 16.2 Numbers In General Form
 16.3 Games With Numbers
 16.4 Letters For Digits
 16.5 Tests Of Divisibility
 Divisibility by 10
 Divisibility by 5
 Divisibility by 2
 Divisibility by 9 and 3
Maths Class 8 NCERT Solutions Chapter 16 Exercises  No. of Questions 
Exercise 16.1  10 
Exercise 16.2  4 
Download – NCERT Solutions for Class 8 Maths Chapter 16 PDF 
Download Class 8 Maths NCERT Book
8th Class Maths Textbook Answers
Nowadays, it is tedious to carry all your textbooks everywhere. The better alternative is to save a digital copy of your textbook on your computer/tablet/phone to be able to access it easily anytime you want. You can download the NCERT Class 8 Maths Book PDF on your preferred device and refer to it on your own time. Accessing it online on a website every time requires constant internet access. So, it is ideal to keep a digital copy just in case.
To get NCERT Class 8 Maths Solutions, you can always refer to this article. Download the solutions as PDFs and save them on your device.
Some Important Questions On CBSE Class 8 Maths Solutions Of NCERT Book
In this section, you will find some important questions for Class 8 Maths. You can practice these questions to understand the NCERT Solution Class 8 Maths.
Question 1: Find the value of (80)^{2} using identities 
Question 2: Find the final amount if the cost of a pair of shoes was Rs. 650 and the sales tax charged was 9%. 
Question 3: Determine the cube mysqladmin of 5263. 
Question 4: 20 people can build a wall in 36 hours. How many people are required to do the same work in 24 hours? 
Question 5: In a hostel of 50 students, food provisions are for 15 days. If 20 more students join the group, how long will the provisions last? 
Question 6: Find the value of (4)^{10} x (4)^{5} 
Question 7: Find the factors: 16x^{4} – y^{4} 
Question 8: Mark the given points on a graph and connect them: A(5,8); B(5,1); C(3,3); D(1,6) 
Question 9: How much the surface area of a cube is increased if each side is doubled? 
Question 10: Determine the area of a rhombus whose diagonals are 10cm and 5cm. 
Question 11: Find the value of x if 4×16 is a multiple of 4 and x is a digit. 
Question 12: Construct a parallelogram with given adjacent sides of 5.3cm and 4.8cm. 
Question 13: Use the method of repeated subtraction to find the square mysqladmin of 1221. 
Question 14: Solve the equation: 6x – 10 = 23 
Question 15: A man will be 3 times as old as he was 2 years ago after 16 years. Find the present age of the man. 
Question 16: Find the number of sides of a regular polygon if one of its exterior angles is 45°. 
Why Embibe for Learning Chapterwise NCERT Maths Solutions For Class 8?
Embibe provides detailed explanations to the CBSE Class 8 Maths problems for students who are planning to study for their Class 8 Mathematics exam. Here are some key benefits of referring to NCERT Maths Solution Class 8 by Embibe:
 Easy to Understand: While the topics can be complicated to explain, textbooks are designed to keep things brief and do not feature detailed explanations. However, experts at Embibe analyze the questions and explain them particularly for students of Class 8.
 Best for CBSE Final Exams: Exercise solutions help students revise their NCERT Class 8 Maths book before their exams. Also, the expert solutions by Embibe are explained according to the CBSE marking scheme.
 Always Cover Assignment in Time: After any chapter gets completed in class, you might have to solve the exercise questions as an assignment. Expert solutions by Embibe ensure that your assignments are up to mark and on time.
 Covers All Basics: Expert solutions from Embibe are created after looking at the entire curriculum. So, all the basics and concepts from other chapters are covered and connected in the NCERT Class 8 Solutions for Maths.
These are some of the advantages of referring to Solutions of Maths NCERT Class 8 by Embibe. With the help of NCERT Maths question papers and sample papers, students will be able to understand different types of questions as well as the marking scheme. This will help them most in the final examination.
Clear Your Doubts On Embibe Ask
At times, you encounter problems that are not covered in the textbook, or can’t understand a concept even after reading it. If you are in such a situation, Embibe is here to help you. In our portal Embibe Ask, you can post any questions that trouble you. They will be answered by experts and other students in detail so that you can understand everything perfectly before jumping to the next topic. If you have any queries or doubts regarding Class 8 NCERT Maths Solution, you can always post your question on Embibe Ask.
FAQs Regarding NCERT Solutions Class 8 Maths
Some of the frequently asked questions regarding CBSE Class 8 Maths Solutions are as under:
A1. The NCERT exercise questions cover almost all concepts within the chapters. Not all of them are simple in nature. The solutions help us understand more demanding questions that can be included in an exam. That is why it is critical that students should at least solve all the exercise questions.
A2. There are a total of 16 chapters in the NCERT Maths textbook.
A3. By referring to NCERT Class 8 Maths solutions online, you don’t have to wait till your next class to ask your tutor. And also, you can refer to them anytime you want, even if you don’t have an internet connection.
A4. Covering the exercise solutions of all chapters will help you cover the entire syllabus and give you a detailed idea about what can be asked in the exam. After doing so, you can take Mock Tests for CBSE Class 8 Maths to further improve your grades.
A5. You can refer to this article containing important Maths Formulas for Class 8.
A6. The best way to prepare for exams is to start ahead. First, ensure that you have understood the topics and solved the exercises of all the chapters. While solving exercises, refer to expert solutions from Embibe for more clarity. After you have completed all exercises, you can attempt mock exams for Class 8 on Embibe.
A7. The last update to the NCERT maths class 8 textbook was in 2017.
Class 8th Maths NCERT Solutions can be a great asset to your studies. Mathematics is a very important subject if you aim to opt for the Science stream. At Embibe, you can solve Class 8 Practice Questions and take Class 8 Mock Tests for Science and Maths for free. If you want to improve further, Embibe’s Advanced Feedback Analysis backed by AI can improve your speed and stamina for exams and instill time management skills as well.
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