NCERT Solutions for Class 6 Maths: Class 6 Mathematics contains fourteen basic chapters. All the chapters of NCERT Solutions for Class 6 Maths are equally important for the coming classes, which are 7, 8, 9 and 10th classes. All the questions of NCERT Solutions are mandatory for better knowledge about the chapters that you have studied in class 6th NCERT book. The NCERT Solutions for Class 6 Maths are created by our subject experts to help students in their preparation of class 6 CBSE final examination. These NCERT solutions are the detailed explanation of each question given in the NCERT textbook. There are solved questions and exercises for practice in the NCERT book.
NCERT Solutions for Class 6 Maths start with the chapter knowing our numbers and also talks about whole numbers, fractions, decimals and integers. The NCERT Class 6 Maths also introduces the field of Algebra. The book also contains chapters from Geometry and also a chapter which deals with data handling. The chapter like Ratio and Proportion will be used throughout our lives and also all chapters are the basics for coming classes. While preparing to try to understand all the chapters very clearly and solve the maximum number of problems possible.
Here we will cover NCERT Solutions for Class 6 Maths in detail. The following are the chapters:-
Chapter 3 Playing with Numbers
Chapter 4 Basic Geometrical Ideas
Chapter 5 Understanding Elementary Shapes
Chapter 12 Ratio and Proportion
The main chapters with a brief outline of the topics are given below-
Chapter 1 - Knowing Our Numbers: In the first chapter, we will deal with the number of systems, some basic operations on numbers, etc. We have learned to work with numbers in our earlier classes. We have added, subtracted, multiplied and divided. In Chapter 1 Knowing Our Number, we will move forward on interesting things like patterns in number sequences with a brief review and revision as well. This chapter contains 19 questions in 3 exercises.
Chapter 2 - Whole Numbers: In this chapter, students get to know about the important topic which is the whole numbers. We already study, what are natural numbers? The natural numbers are the collection of numbers 1, 2, 3, 4, 5... And the whole number is the collection of the natural numbers along with zero. There is a total of 3 exercises with 20 questions in this chapter.
Chapter 3 - Playing with Numbers: In this chapter, students will learn to obtain the number of factors and multiples of a given number. Chapter 3 Playing with Numbers contain 7 exercises with 55 questions.In this chapter, students will learn about the prime numbers, composite numbers, tests for divisibility of numbers, common factors, common multiples, prime factorisation, some divisibility rules, highest common factor (HCF), lowest common multiple (LCM).
Chapter 4 - Basic Geometrical Ideas: In this chapter, we are going to learn some basic geometrical concepts which are very important for the maths student. Important geometrical concepts covered by this chapter are a point, find the distance between two points, a line segment, types of lines (parallel lines and intersecting lines). And also discuss some concepts which are based on the angle, polygon, regular polygon, triangle, quadrilaterals, circles, radius and centre point of the circle.
Chapter 5 - Understanding Elementary Shapes: All the shapes we see around us are formed by lines and curves. We can see edges, lines, planes, corners, closed and open curves in our surroundings. In Chapter 5 Understanding Elementary Shapes, we will try to develop basic some tools to compare sizes of line, line segments, angles, circles, triangles and polygons. In this chapter, there are 45 questions in 9 exercises.
Chapter 6 - Integers: We already studied natural and whole numbers in the 2nd chapter of this class. Now we are going to discuss integers in this chapter. Integers are the collection of numbers..., -3, - 2, - 1, 0, 1, 2, 3,... is. So,Positive numbers ( 1, 2, 3,....) are the positive integers and negative numbers (- 1, - 2, - 3, ... ) are negative integers. In this chapter, there is a total of 19 questions in 3 exercises.
Chapter 7 - Fractions: We learned about fractions in 4th class and in 5th class. We knew that one-half is written as 1/2. In this chapter, we will study again fractions with more operations. A fraction is a number which represents part of a whole. The whole may be a single object or a group of the object and all parts have to be equal.
Chapter 8 - Decimals: Calculations based on decimals are important since we come across many situations in our life where we use decimal numbers. The chapter Decimals give an introduction to the conversion of fractions to decimals, decimals to fractions and addition and subtraction of decimals.
Chapter 9 - Data Handling: Collection of numbers gathered together to give valuable information known as data. In the NCERT Solutions of this chapter, we will study about representation of data in tabular format, how to interpret certain results from given data and we will also study about pictogram and bar graph in NCERT Solutions for Class 6 Maths.
Chapter 10 - Mensuration: It is difficult to imagine a life without measurements. In the NCERT Solutions of Chapter 10 Mensuration, we study how to measure the perimeter of given figures in the form of rectangles. And also areas of squares and rectangles and a few problem statements based on area and perimeter.
Chapter 11 - Algebra: Algebra is a field of Mathematics where we use letters or symbols to represent numbers and quantities. The chapter gives an introduction to algebra and also talks about variables and how to represent a problem using variables and also about algebraic equations and their solutions.
Chapter 12 - Ratio and Proportion: Ratios are used for the purpose of comparison of quantities. If two sets of ratios are equal then the ratios are said to be in proportion. The chapter gives an introduction to how to find ratios and proportions and how to solve problems using ratios.
Chapter 13 - Symmetry: Symmetry gives beauty to many constructions and patterns. For example, the figure of Tajmahal is symmetrical (vertically) and rangoli with symmetry will look good. The chapter talks about the line of symmetry of figures.
Chapter 14 - Practical Geometry: The chapter talks about the construction of certain geometrical figures using compass, ruler and sets square. The NCERT Solutions for Class 6 Maths Chapter 14 talks about the construction of circles, lines, the perpendicular bisector of lines, angles and angle bisectors
Q. 3. Are the following statements true?
(a) persons : persons =
(b) litres : litres =
(c) =
(d)
(e) hours : hours
3. Find the value of the following:
(a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279
(c) 81265 × 169 – 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218
4. Find all the multiples of 9 upto 100.