NCERT Solutions for Class 6 Maths provide detailed explanations for all questions which are given in the NCERT textbooks prescribed by the CBSE. Knowledge Glow provide all chapter-wise NCERT Solution for Class 6 Maths to help the students clear their doubts and issues by offering an in-depth understanding of the concepts.
Any Students can practice the different types of questions given in the textbook, which are expected to be asked in the final exams, with the help of these knowledge Glow NCERT Solutions for Class 6. This has been Solved by our experts in a well-structured format, to provide the best methods and tricks of solving the problems and to ensure the proper knowledge of all concepts.
NCERT Solutions for Class 6 Maths
CBSE Maths Solutions for Class 6 are given below. Click on chapter and get the NCERT Solutions for each chapters.
- Chapter 1 Knowing Our Numbers
- Chapter 2 Whole Numbers
- Chapter 3 Playing with Numbers
- Chapter 4 Basic Geometrical Ideas
- Chapter 5 Understanding Elementary Shapes
- Chapter 6 Integers
- Chapter 7 Fractions
- Chapter 8 Decimals
- Chapter 9 Data Handling
- Chapter 10 Mensuration
- Chapter 11 Algebra
- Chapter 12 Ratio and Proportion
- Chapter 13 Symmetry
- Chapter 14 Practical Geometry
NCERT Solutions for Class 6 Maths Chapter-wise (Summary)
The concept of number is very important in mathematics. The numbers we use are called natural numbers or counting numbers or whole numbers. Natural numbers can be represented as a sequence of digits in which the digits 1 to 9 are repeated indefinitely. For example, the following sequence represents 2:
- 2, 4, 6 … and so on. This is also called a non-terminating series because it does not stop at any particular point! You may wonder what happens if you start with 0 instead of 1 (and add it to your new number). If this were possible then there would be no need for any other types of integers since all positive integers would have been created automatically by adding 1 whenever needed!
Whole numbers are the counting numbers. They are also called natural numbers because they can be used to count objects and make comparisons.
Whole numbers have a whole number, such as 1 and 7, in front of them. A whole number is any whole number except 0 (zero). The first four natural (whole) numbers are 1, 2, 3 and 4; they’re read as “one,” “two,” “three” or “four.”
You can write each natural number as its corresponding decimal number using this formula:
N = 10N + 0
NCERT Solutions for Class 6 Maths Chapter 3: Playing With Numbers
- The concept of place value is introduced in this chapter. You will learn about the place value, which can be used to represent numbers.
- The concept of decimal number is explained in this chapter as well as its usage and application in various situations.
- Number system is discussed in detail here, along with its applications in life and business.
- Operations on numbers and decimals are also explained with examples so that you can understand them easily!
NCERT Solutions for Class 6 Maths Chapter 4: Basic Geometrical Ideas
In this chapter, you will learn about the following topics:
- The concept of length, breadth and height.
- The concepts of perimeter, area and volume.
- Angles, circles and triangles.
- Angle: A straight line segment that has a measure from one corner to another (or vice versa) equal to half its length. An angle is always measured counterclockwise when viewed from above; it has two sides (it may also be called an arc), where one side is greater than 180° or less than 90°; if you are standing on Earth’s surface facing north-north or south-south respectively then each pair would have exactly 180° between them – they form a complete circle around us!
NCERT Solutions for Class 6 Maths Chapter 5: Understanding Elementary Shapes
The following shapes are used to describe the shape of a circle, ellipse and parabola.
Circle: The circumference of a circle is its length. It is called as diameter and can be expressed by πr2.
Ellipse: An ellipse has one focus point (focus) at one end and both foci reside on different points (apex). It can also be visualized as a conic section with major axis parallel to x-axis and minor axis parallel to y-axis but not exactly equal lengths in each case.
Parabola: A parabola has two foci located at opposite ends from each other called vertexes which lies on tangent line passing through them
Triangle: A triangle will have 3 sides (3rd side), two angles that meet at 90 degree angle called vertex angles which are acute angles formed by straight lines drawn from vertexes towards midpoints of opposite sides; area = 1/2 * base * height
NCERT Solutions for Class 6 Maths Chapter 6: Integers
Integers (whole numbers, negative numbers and zero) are used to count things in the real world. For example, you use integers to count how many students are in your class.
Integers can be positive or negative. They also include zero (the number 0). You may see some problems that ask you to find the sum of two integers or subtract one integer from a second integer without using any parentheses!
NCERT Solutions for Class 6 Maths Chapter 7: Fractions
Section 7.4: The number of equal parts into which a whole is divided
The number of equal parts into which a whole is divided is the same as the total number of units in that whole. If you have 2 apples and 3 oranges, then there are 4 units in your oranges and 5 units in your apples.
In this section we will learn how to calculate fractions using decimal numbers. We will also learn about how to convert decimals into fractions if needed by multiplying or dividing by 10 (10%).
NCERT Solutions for Class 6 Maths Chapter 8: Decimals
- Decimals are numbers that can be expressed as fractions.
- A decimal is a number with an integer part and a fractional part.
- The whole number portion of the decimal is called its significand or mantissa, and it’s represented by placing this value to the left of a decimal point (e.g., 3.5). The decimal point separates the whole number from its fractional counterpart and determines where we begin writing decimals (i.e., between 0/0/1).
NCERT Solutions for Class 6 Maths Chapter 9: Data Handling
Data handling is the process of collecting, storing, analyzing, interpreting and presenting data. Data can be collected in different ways such as observation, experiment etc. The data collected can be stored in different ways such as charts or tables etc. The analysis of the collected data can be done in different ways such as graphical representation or numerical representation etc., which will help us to understand better about the whole concept of data handling.
NCERT Solutions for Class 6 Maths Chapter 10: Mensuration
- Measures of central tendency: mean, median and mode.
- Measures of variation: range and standard deviation.
- Types of data: continuous or discrete (e.g., money or time).
Bar charts are used to show groupings of data points that represent clusters in a set; pie charts are used to show the parts (or slices) compared with each other by size; line graphs show relationships between variables using lines connecting points on the axes; bar graphs measure quantities along all possible combinations (as opposed to just one value such as “pies”).
NCERT Solutions for Class 6 Maths Chapter 11: Algebra
The word “algebra” comes from the Arabic word “Al-Jabr” and it means ‘restoration’. In algebra we want to solve equations that are written in the form of letters, called variables (x or y). An equation is a statement of equality between two expressions.
- For example: 2 x + 3 = 7; Here 2 x + 3 is one expression and 7 is another expression.
NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion
Ratio and proportion are two related concepts. In ratio, we compare two numbers or quantities. For example, the ratio of boys to girls in a class is 3:5; this means that there are three times as many boys as girls in the class. Proportion is an equation where two ratios are equal to each other.
NCERT Solutions for Class 6 Maths Chapter 13 Symmetry
Symmetry is an important concept in geometry. It means that some object has two sides that are exactly the same, or a mirror image of each other. Symmetrical objects have line symmetry, point symmetry or plane symmetry. For example:
- The above figure shows line symmetry because if we draw a vertical line down the middle of the rectangle and reflect it over this line, then both halves will be identical in shape as well as size.
NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry
Practical geometry is geometry that deals with measurements and construction. This chapter will cover the following topics:
- Symmetry of a triangle
- Right angle and acute, obtuse and reflex angles
- Theorems about triangles
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