RD Sharma Class 6 Maths Solutions - Free PDF Download
The 6th grade is an interesting year for students as they learn several new mathematical concepts. These include basic geometry, data handling, negative numbers and integers, and much more. These concepts, while interesting, are also still tricky to understand initially. At Vedantu we ensure that the student understands these new concepts by providing in-depth teaching through an innovative platform. The RD Sharma class 6 solutions are designed to help in this process of learning.
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RD Sharma Solutions for Class 6 Maths
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Below mentioned chapter wise details for Class 6 RD Sharma Solutions:
Chapter-1 ‘Knowing Our Numbers’:
You must have learned about number counting and number series much time in previous classes. But that was merely a part of the big number game. All the exercises from 1.1 to 1.7 of ‘Knowing Our Number’ is related to the comparison of both single and multi-digit number, the learning of intro from ten to hundred, lakhs and crores, the system of measurement in units of distance, length, weight, Kg, Mg, and volume, the learning of the round to the nearest 10, and 100, the round of whole number nearest to thousand, hundred, ten and the missing numbers, the learning of Roman Numerals and also the learning of counting from ten to lakhs and crores in words.
Chapter-2 ‘Playing with Numbers’:
Related to basic counting, which is essential at every step in life from buying things to spending money. The exercises from 2.1 to 2.11 will help the students in learning the basic factors and multiplies, divisibility test, the rules of divisibility and identify the divisibility, common divisibility, prime factor, common multiplies and factor, least and highest common multiplies and factor, etc. Students in their previous classes have studied a little bit about natural, whole, integer and rational numbers. But in class-6 mathematics, in the chapter ‘Playing with Numbers’, they can understand the relationship among these numbers in more details by the method of factorizations and multiplication.
Chapter-3 ‘Whole Numbers’:
The whole numbers are the basic counting numbers from 1 to 10. Those natural numbers before which zero (0) are placed. These numbers have no fractions, decimals and negative numbers. Students of Class-6, in their mathematical chapter of ‘Whole Number’ at exercise 3.1 can learn about the intro of the whole number as well as of number line, intro, and explanation of distributive property by addition and subtraction, properties of all the whole number such as the pattern of multiplication and addition, intro and commutative property of multiplication, commutative law of addition and multiplication, associate law of addition and multiplication etc.
Chapter-4 ‘Operations on Whole Numbers’:
As we have already discussed in the 3rd chapter, the ‘whole the number’ that ‘whole number’ is simply a basic number series runs from 1 to 10. It is a common natural number, but the only difference in the whole number and the natural number is that before the whole number, digit zero is placed; these numbers are specifically non-fractioned, negative and decimal-free. In the ‘Operation of the Whole Number’ from exercise 4.1 to 4.6, students will get the in-depth practice of all the operational techniques and properties involves in whole numbers: multiplication, division, subtraction, and addition, also of the commutative and associative, and of the additive identity.
Chapter-5 ‘Negative Numbers and Integers’:
Negative numbers and Integers are those numbers has valued below zero. To identify these numbers a clear ‘-sign is placed before every number from 1 to 10. In the exercises from 5.1 to 5.6 of the chapter-5, the ‘Negative Numbers and Integers’ in the Mathematics of Class-6, students can significantly learn in detail, the intro of negative integers and numbers; intro, examples, identifying, comparing, and the word problem of absolute value; ordering of the negative numbers and integers, the intro of the adding and subtracting of negative numbers, integers, and number line, about opposite numbers, etc.
The fraction divides two numbers by slash (/); the top number is called ‘numerator’ and the bottom ‘denominator’. In very simple words, can be said that it’s the part of the whole, but by the sign of slash (/) between two separate numbers and integers a ratio is shown. The exercises from 6.1 to 6.9 in the chapter of ‘Fractions’ in class-6 Mathematics gives students the learning of intro and identifies to fractions, the key differences between fraction and whole number, intro to equivalent fraction, common fractions and the equivalent fraction on the number line, improper mixed number fractions, comparing of the numerator and denominator of the fractions etc.
Decimals are a specific type of dot ‘.’, which is used to separate a number in whole. Its significant use is to separate a part of the whole number, and fractional number. It is a way to express the key units of numbers such as in tenth, hundredth, thousandth and in more units. In the chapter ‘Decimals’ in class-6 mathematics, the exercise from 7.1 to 7.10 will provide students all the detailed basic learning about decimals. The exercises in this chapter consist of intro to decimal (explanation in words and numbers), the intro about the placing value of decimal, comparing of the placing values of decimals, adding and subtracting decimals, common fractions, and decimals, etc.
Chapter-8 ‘Introduction to Algebra’:
Algebra in a simple word is a building block of mathematics. In Algebra, the numbers are replaced by letters and the equations show a relationship between two variables. These letters are specifically (x /y) or a few other symbols are used to solve math solutions with rules. The exercises 8.1 to 8.3 of the ‘Introduction to Algebra’ chapter in Class-6 math includes short detail about origins and history of Algebra, expression of evaluating and substitution with multi numbers of variables, intro to the basic writing of Algebraic expression with variables, basics of Algebraic equation, uses of variables applying common rules, intro to variables, etc.
Chapter-9 ‘Ratio, Proportion and Unitary Method’:
In math, Ratio is simply a comparison between two numbers in order. A relation indicates how much one number is greater or equal to another. In proportion, equality is shown between two numbers of the ratio. While in the unitary method the value of a unit quantity is calculated to obtain the correct value of any quantity. In the exercises from 9.1 to 9.4 of the chapter Ratio, Proportion and Unitary Method in class-6 level’s math. Students will obtain in-depth knowledge about Ratio, Proportion and Unitary Method by more and more solving or practicing these exercises, these exercises are about the intro of basic and equivalent ratio, ratio tables, ration on double number line, etc.
Chapter-10 ‘Basic Geometrical Concepts’:
Basic Geometrical concepts deal with the study and understanding of the key basics of geometry. All the topics, which are part of primary geometry such as points, line segment, solid, midpoints, lines, planes, and rays, etc. The exercises from 10.1 to 10.3 of the ‘Basic Geometrical Concepts’ in class-6 mathematics includes intro of basic geometry such as line, line segments, rays, solid, planes and midpoints etc., intro of polygons, the recognizing of shapes, solving questions related to them, intro of Angles with problem solving questions etc.
In math, Angles in simple meaning a bending or turning of a line from one side into the position of another line. In angles, the degree of that line is specifically measured. The formation of any angle happens by the combination of two rays (half-lines). The exercises 11.1 and 11.2 of Angles in class-6 mathematics consist of the topics such as types of angles (right, zero, straight, complete, reflex, & obtuse etc.), pairs of angles (linear, adjacent, complementary, vertically opposite, supplementary etc.), intro to angles and types of angles, important points of rays, lines and angles, comparison of angles etc.
Quite interesting chapter for students. The simple meaning of the triangle is the joining of three lines together in a shape of angles. It has three key parts Isosceles, Equilateral, Acute, Obtuse, and Scalene, etc.. The exercises 12.1 and 12.2 in the chapter of the triangle, in the class-6 mathematics, are designed with the topics intro of triangle and types of triangle, Theorem of the triangles, the similarity of the triangles, comparison between triangles, intro about perimeter, & area, perpendicular and angle bisector of the triangle etc.
A quadrilateral is a figure of four straight sides. It has a flat-shaped called ‘two dimensional’, the joining up lines called ‘closed’ and has four straight sides. The exercise 13.1 of the chapter ‘Quadrilateral’ in class-6 math is about the intro of all the quadrilateral shapes (Rhombus, Trapezium, Rectangle, Parallelogram, and Square, about the properties of all types of quadrilateral (Rhombus, trapezium, Parallelogram, a quadrilateral with two sticks, of a kite), etc. The exercise of this chapter is full of many practicing questions, will help the students in gaining an in-depth understanding of quadrilateral with good practicing.
Chapter 14 - Circles
The circle is a collection of all the points in a plane which are equidistant from a single point called “center of the circle”. In this chapter, you will learn about the key concepts of the circle. The basics related to circle like the radius of a circle, the diameter of a circle center of a circle, the chord of a circle, the interior of circle and exterior of a circle will be covered in this chapter. Exercise 14.1 is a depth scene of the circle which all questions related to the circle. By solving the problems given in the exercise you will be aware of key components of the circle.
Chapter 15 - Pair of Lines and Transversal
A straight and infinitely extending figure in both the directions is called Line. In this chapter, basic components of lines like parallel lines and intersecting lines, etc are covered. And the line which is passing through two distinct points via two lines in the same plane is called “transversal line”. Exercise 15.1 covers the concept of parallel lines whereas 15.2 is based on angles and transversal. Remember, angles form when any two lines intersect at a point.
Chapter 16 - Understanding Three Dimensional Shapes
In previous classes, you have already learned about the 2D figures like a square, rectangle, Triangle and circle, etc which are limited to only a plane. But now, you will understand three dimensional solid shapes like the cube, cuboid, sphere, and cone, etc. In exercise 16.1, there is a focused exercise for understanding the concepts of terms like edge, face, and base, etc of solid three dimensional figures. Exercise 16.2 deals with basic life examples of three-dimensional geometry. In-depth understanding of 3d figures like cone has been covered in exercise 16.2.
Chapter 17 - Symmetry
This chapter is about dealing with the symmetry in geometric figures. If we understand symmetry through basics, it is like finding the identical parts after flipping of any geometric figure. Determining the number of lines of symmetry is the main objective that has been covered in this chapter. In exercise 17.1, you will understand the symmetry with the examples of gate and green board, etc. Exercise 17.2 covers some typical symmetry with Complex 2D figures. Exercise 17.3 and 17.4 consists of exercises which help to understand horizontal, vertical and other lines of symmetry.
Chapter 18 - Basic Geometric Tools
Which chapter covers the use of basic geometric tools. This chapter is complete to go through on how to use various geometric tools to obtain the desired results. In exercise 18.1, Set Square is used to obtain various angles. You will also learn to deal with the angles Set Square relations. You will see the use of scale and divider in exercise 18.2. So basically this chapter is all about the use of various geometrical tools. The three geometric tools which are used in this chapter are Set Square, divider and scale.
Chapter - 19 Geometrical Constructions
This chapter is a complete guide on constructing the various geometrical objects with the use of of-different lines, shapes, and angles. You will learn about the construction of the geometrical objects like the bisector of lines and angles, perpendicular lines, Parallel Lines, perpendicular bisector, angle bisector, circles, triangles, and quadrilaterals. You have to use a compass, rules, divider, Set Square, protractor and a pencil in this chapter for the construction of geometrical objects.
Chapter 20 - Mensuration
The chapter will take you through some examples to understand the concepts of perimeter using different shapes. The perimeter of the rectangle and the perimeter of a square as a special rectangle is covered in exercises. The concept of the area of rectangle and square is also introduced later in the chapter. Which also give you a basic idea to understand the standard units of length mass and capacity.
Chapter 21 - Data Handling Presentation of Data
Through different types of observations, data is collected and then gathering of data after the observation at the initial level is called raw data. To study the features of the collected data, we have to arrange it in tabular format. This is known as the presentation of data. The various ways to arrange data are discussed inside the chapter. You will understand the concept of frequency distribution through various examples in exercises.
Chapter 22 - Data Handling Pictographs
A pictograph covers the symbols and the pictures to represent the collected data. Pictograph help to represent a large amount of data in a very simplified manner so that all necessary information can be extracted out easily and quickly. Presentation of data becomes easier to understand when we use symbols and pictures. So this chapter is an in-depth guide to handle a large amount of data with pictographs.
Chapter 23 - Data Handling Bar Graphs
The bar graph is the graphical method of representing the data on a grid using bars of different heights. Depending upon the data you have to represent you can use the vertically or horizontally aligned bar graphs. So this chapter will cover the representation of data with a bar graph.
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