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NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry

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NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry covers all important ideas and topics related to Geomatry like angles, line segments, perpendiculars and more. You can get the PDF file at no cost. The NCERT Solutions for Class 6 Maths Chapter 14 have been made to help students by giving them explanations that are easy to understand. 

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The experts at Utopper made these solutions to help students feel more confident by helping them understand the ideas in this chapter. The NCERT Solutions for Class 6 show how to quickly and easily solve the problems in the textbook. These materials are made based on the NCERT curriculum for Class 6 and the kinds of questions asked in the NCERT textbook. 

You can also download NCERT Solution for Class 6 Science to score more in exams.

Topics Covered In Class 6 Maths Chapter 14

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The different topics in the Practical Geometry Chapter need to be covered well if you want to get better grades and learn more. 

  • Introduction
  • The Circle
  • A Line Segment
  • Perpendiculars
  • Angles

Students will find it very simple to comprehend the problems and how to solve them. On Utopper.com, you can also practise Important Questions for Class 6 Maths. In addition to knowing the topics, pupils must prepare appropriately for their Class 6 CBSE examinations. Utopper has provided them with NCERT solutions to aid in their study.

Ncert Solutions Class 6 Maths Chapter 14 Exercise:

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  • Practical Geometry Exercise 14.1
  • Practical Geometry Exercise 14.2
  • Practical Geometry Exercise 14.3
  • Practical Geometry Exercise 14.4
  • Practical Geometry Exercise 14.5
  • Practical Geometry Exercise 14.6
NCERT Solutions for Class 6 Maths

Class 6 Ncert Solutions for Maths Chapter 14 – Download Free PDFs

The NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry is an important part of the curriculum. There are 4 main concepts in this chapter. It starts with an introduction and then goes on to talk about circles, a Line segment, perpendiculars, and about angles. To be able to solve and practise the Practical Geomatry questions, students must carefully go over each topic and concept covered in the chapter. 

It helps the students understand slowly and practise a lot so they can get good at what they are doing and get a good score on their tests. You can use the free NCERT Books Solutions to learn more about how to answer all the questions in the exercises. 

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NCERT Solutions for Class 6 Maths Chapterwise PDF

When it comes to examination preparation, students frequently need assistance. Therefore, they must ensure that they are practising increasingly. Herein lies the utility of the NCERT solutions for CBSE Class 6 Mathematics. 

Ncert Solutions For Class 6 Maths All Chapters

The following are chapter-specific NCERT Solutions for Class 6 Maths. Mathematical specialists from Utopper provide these solutions in depth. Examine these chapter-by-chapter solutions to properly understand the ideas.

If you click on the name of the chapter whose solutions you wish to view, you will be taken to the page for that chapter. Then, you can review the detailed, step-by-step CBSE 6th grade mathematics questions and answers for every single question in that chapter. 

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In class 6, you must learn 14 chapters of mathematics. The following are notable chapters and their respective subjects:

NCERT Solutions for Class 6 Maths Chapter-wise Links :

  • Chapter 1 Knowing Our Numbers
  • Chapter 2 Whole Numbers
  • Chapter 3 Playing With Numbers
  • Chapter 4 Basic Geometrical Ideas
  • Chapter 5 Understanding Elementary Shape
  • 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

Some Important Topics Present in the NCERT Class 6 Maths Solutions

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Ncert Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers: This is the very first chapter in your Class 6 Mathematics syllabus. This chapter has 5 exercises. The first important topic in this chapter is comparing numbers; you must learn to estimate numbers using the rounding-off approach and estimates. 

NCERT Solutions for Class 6 Maths Chapter 1 Exercises are given in the table below:

  • Class 6 Maths Knowing our Numbers Exercise 1.1
  • Class 6 Maths Knowing our Numbers Exercise 1.2
  • Class 6 Maths Knowing our Numbers Exercise 1.3

Ncert Solutions for Class 6 Maths Chapter 2 Whole numbers: This is the second chapter and you will learn the fundamentals of the whole numbers. Five exercises are included in this chapter. The initial subject is natural numbers. In this lesson, you will study natural numbers and their properties, as well as how to express natural numbers on a number line. Be thorough with all the qualities, including associative, closure, and distributive, among others.

NCERT Solutions for Class 6 Maths Chapter 2 Exercises are given in the table below:

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  • Class 6 Maths Whole Numbers Exercise 2.1
  • Class 6 Maths Whole Numbers Exercise 2.2
  • Class 6 Maths Whole Numbers Exercise 2.3

Ncert Solutions for Class 6 Maths Chapter 3 Playing with Numbers: This is the third chapter and there are 10 exercises. This chapter is relatively longer than the others, but you can master it with sufficient study and practice. This chapter’s first activity is on factors and multiples; in this exercise, you will study factors and multiples. You must also study their distinctions and practice a few relevant examples. This practice is fairly simple and will just about a quarter-hour to finish.

NCERT Solutions for Class 6 Maths Chapter 3 Exercises are given in the table below:

  • Playing with Numbers Class 6 Ex 3.1
  • Playing with Numbers Class 6 Ex 3.2
  • Playing with Numbers Class 6 Ex 3.3
  • Playing with Numbers Class 6 Ex 3.4
  • Playing with Numbers Class 6 Ex 3.5
  • Playing with Numbers Class 6 Ex 3.6
  • Playing with Numbers Class 6 Ex 3.7

Ncert Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas: This is the 4th chapter and there are 13 exercises. The essential task in this chapter is a line segment. This chapter is rather straightforward and brief, and you must learn about line segments and rays. Learn their definitions and examine a few instances. Learn the distinction between a line and a line segment as well. Practice segmenting line segments. Solve the exercises and practice the examples provided.

NCERT Solutions for Class 6 Maths Chapter 4 Exercises are given in the table below:

  • Class 6 Maths Basic Geometrical Ideas Exercise 4.1
  • Class 6 Maths Basic Geometrical Ideas Exercise 4.2
  • Class 6 Maths Basic Geometrical Ideas Exercise 4.3
  • Class 6 Maths Basic Geometrical Ideas Exercise 4.4
  • Class 6 Maths Basic Geometrical Ideas Exercise 4.5
  • Class 6 Maths Basic Geometrical Ideas Exercise 4.6

Ncert Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes: This is the 5th chapter and there are 10 exercises. In this chapter, measuring line segments is a crucial activity, and you must become familiar with their sign. Learn the formula for line segment and practice with examples.

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NCERT Solutions for Class 6 Maths Chapter 5 Exercises are given in the table below:

  • Understanding Elementary Shapes Class 6 Ex 5.1
  • Understanding Elementary Shapes Class 6 Ex 5.2
  • Understanding Elementary Shapes Class 6 Ex 5.3
  • Understanding Elementary Shapes Class 6 Ex 5.4
  • Understanding Elementary Shapes Class 6 Ex 5.5
  • Understanding Elementary Shapes Class 6 Ex 5.6
  • Understanding Elementary Shapes Class 6 Ex 5.7
  • Understanding Elementary Shapes Class 6 Ex 5.8
  • Understanding Elementary Shapes Class 6 Ex 5.9

Ncert Solutions for Class 6 Maths Chapter 6 Integers: In this chapter, you have to learn about integers and how to add and subtract them. Additionally, you must learn their multiplication and division. Discover the properties of positive and negative integers, as well as how to express them on a number line. Solve all the examples and exercise problems. Utilize the NCERT solutions for extra instances and questions.

NCERT Solutions for Class 6 Maths Chapter 6 Exercises are given in the table below:

  • Integers Class 6 Ex 6.1
  • Integers Class 6 Ex 6.2
  • Integers Class 6 Ex 6.3

Ncert Solutions for Class 6 Maths Chapter 7 Fractions: This chapter is also important and there are 10 exercises. In this chapter, you will study fractions, including their types, properties, and rules. You must master the addition and subtraction of fractions, as well as their division and multiplication. Learn about proper fractions, mixed fractions, fractions with like denominators, etc., and solve examples for each. Use the NCERT answer manual for further assistance and to ensure thorough preparation.

NCERT Solutions for Class 6 Maths Chapter 7 Exercises are given in the table below:

  • Class 6 Chapter 7 Fractions Ex 7.1
  • Class 6 Chapter 7 Fractions Ex 7.2
  • Class 6 Chapter 7 Fractions Ex 7.3
  • Class 6 Chapter 7 Fractions Ex 7.4
  • Class 6 Chapter 7 Fractions Ex 7.5
  • Class 6 Chapter 7 Fractions Ex 7.6

Ncert Solutions for Class 6 Maths Chapter 8 Decimals: This is the 8th chapter and there are 7 exercises. In this chapter, you will learn how to compare decimal numbers. Examine the provided examples and practice questions. Comprehend how to utilize decimals by completing the associated practice problems. Additionally, you must master the addition and subtraction of decimals. Complete the chapter’s exercises and take careful notes. 

NCERT Solutions for Class 6 Maths Chapter 8 Exercises are given in the table below:

  • Class 6 Maths Decimals Exercise 8.1
  • Class 6 Maths Decimals Exercise 8.2
  • Class 6 Maths Decimals Exercise 8.3
  • Class 6 Maths Decimals Exercise 8.4
  • Class 6 Maths Decimals Exercise 8.5
  • Class 6 Maths Decimals Exercise 8.6

Ncert Solutions for Class 6 Maths Chapter 9 Data Handling: This is the 9th chapter and there are 7 exercises. Learn how to collect and organize information. Master the art of drawing pictographs and bar graphs. Solve the provided examples and exercises. This is the tenth chapter and it is really brief. Two exercises are presented. You must study area and perimeter, as well as their formulas and applications.

NCERT Solutions for Class 6 Maths Chapter 9 Exercises are given in the table below:

  • Class 6 Maths Data Handling Exercise 9.1
  • Class 6 Maths Data Handling Exercise 9.2
  • Class 6 Maths Data Handling Exercise 9.3
  • Class 6 Maths Data Handling Exercise 9.4

Ncert Solutions for Class 6 Maths Chapter 10 Mensuration: In the 10th chapter of Class 6’s Mensuration, students study the area and volume measurements of shapes and figures. Introduction to perimeter measurement, perimeter of a rectangle, perimeter of regular shapes, introduction to area measurement, area of a rectangle, and area of a square are the fundamental topics covered in this section. This chapter contains three exercises in total. 

NCERT Solutions for Class 6 Maths Chapter 10 Exercises are given in the table below:

  • Class 6 Maths Mensuration Exercise 10.1
  • Class 6 Maths Mensuration Exercise 10.2
  • Class 6 Maths Mensuration Exercise 10.3

Ncert Solutions for Class 6 Maths Chapter 11 Algebra: With a total of five exercises, Chapter 11: Algebra introduces students to an entirely new mathematical concept involving the use of various alphabets. Introduction to Algebra, matchstick patterns, the concept of a variable, examples of variables, and the application of variables in common rules, expressions with variables, the practical application of expressions, equation, and solutions to an equation are the fundamental concepts covered in this chapter. 

NCERT Solutions for Class 6 Maths Chapter 11 Exercises are given in the table below:

  • Class 6 Maths Algebra Exercise 11.1
  • Class 6 Maths Algebra Exercise 11.2
  • Class 6 Maths Algebra Exercise 11.3
  • Class 6 Maths Algebra Exercise 11.4
  • Class 6 Maths Algebra Exercise 11.5

Ncert Solutions for Class 6 Maths Chapter 12 Ratio and Proportion: In this chapter, there are 3 exercises. In the first activity, you will be exposed to ratio and proportion fundamentals. In the second exercise, you will learn about ratios and their attributes. In the third exercise, proportion will be covered. Learn the strategies and formulas for the final exercise, “unitary method” Use the provided examples and solutions to solve the exercise questions.

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NCERT Solutions for Class 6 Maths Chapter 12 Exercises are given in the table below:

  • Class 6 Maths Ratio and Proportion Exercise 12.1
  • Class 6 Maths Ratio and Proportion Exercise 12.2
  • Class 6 Maths Ratio and Proportion Exercise 12.3

Class 6 Ncert Solutions for Maths Chapter 13 Symmetry: Three exercises in Chapter 13 on Symmetry teach students how to determine symmetrical objects and operations based on Symmetry. Making Symmetric Figures – Ink-blot Devils, Figures with Two Lines of Symmetry, Figures with Multiple (more than two) Lines of Symmetry, Reflection, and Symmetry are the major topics covered in this chapter. 

NCERT Solutions for Class 6 Maths Chapter 13 Exercises are given in the table below:

  • Class 6 Maths Symmetry Exercise 13.1
  • Class 6 Maths Symmetry Exercise 13.2
  • Class 6 Maths Symmetry Exercise 13.3

Class 6 Maths Ncert Solutions Chapter 14 Practical Geometry: This is the last chapter in your class 6 maths syllabus. This chapter has 6 exercises. You will learn about circles, segments of lines, angles, etc. Learn the subject and engage in as much practice as possible.

NCERT Solutions for Class 6 Maths Chapter 14 Exercises are given in the table below: 

  • Class 6 Maths Practical Geometry Exercise 14.1
  • Class 6 Maths Practical Geometry Exercise 14.2
  • Class 6 Maths Practical Geometry Exercise 14.3
  • Class 6 Maths Practical Geometry Exercise 14.4
  • Class 6 Maths Practical Geometry Exercise 14.5
  • Class 6 Maths Practical Geometry Exercise 14.6

Ace the Exam with Utopper’s NCERT Solutions

Utopper’s NCERT Solutions for Class 6 are the key to success for every student because they help them build on their core knowledge and become experts in every subject. Some of the good things about the Class 6 Ncert solutions are as follows:

  • The language used in NCERT solutions is simple, which makes it easier for students to understand the topics.
  • They follow the CBSE curriculum, which helps students keep track of how well they are getting ready.
  • Since these study materials are made by experts in the field, they are correct and don’t have any mistakes.
  • These NCERT solutions go into detail about different subjects, so you don’t need any other reference books.
  • The solutions to Class 6 Maths Chapter 9 from NCERT are free to find online. 

Important Topics of NCERT Solutions for Class 6 Maths Chapter 14

Introduction

In the NCERT solutions, the first part talks about the different ideas for how to make shapes of certain sizes. The NCERT solutions for class 6 maths chapter 14 practical geometry also have a list of problems and how to solve them to help students learn these ideas. At the end of the chapter, there will also be some unsolved problems for you to work on. The problems in the practical geometry class 6 PDF have different levels of difficulty that will help you understand the big picture. 

The Circle

Everyone here understands what a circle is. The best thing to keep in mind is that a circle is a shape with no corners. All the points on a circle are the same distance from the circle’s centre. The radius is the distance from a circle’s centre to any point on the circle. Once you know how far out a circle is, it’s easy to draw it. 

In the NCERT solutions for class 6 maths chapter 14 practical geometry, you will find a list of all the steps you need to take to make a circle with a known radius. For example, if the radius is 6 cm, you need to put the tip of your compass at the 0th mark and the pencil attached to it at the 6 cm mark on the ruler. Then, put the point in the middle of the circle and draw the circle. Make sure you don’t move the compass’s tip as you draw the circle. 

A Line Segment

If you have learned about lines in the past, you should remember that a line and a line segment are not the same thing. A line doesn’t end anywhere. A line segment is a piece of a line. There are two ends to the line segment. Because of this, a line segment has a set length. 

If you know how long a line segment is, it is easy to draw it. The NCERT solutions for class 6 maths chapter 14 talk in depth about how to draw a line segment of a certain length. For instance, the line segment is 5 cm long. You need a pencil and a ruler to draw a line segment. You need to mark on the paper where the line segment starts. Then, using your ruler, you need to put another point 5 cm away from the first point. These are the two ends of the line segment you are making. 

Now, you need to connect the two points with a straight line. Use the ruler again to do this. You can draw a line segment of a certain length this way. In NCERT solutions for class 6 maths chapter practical geometry, you will learn more about this method.

Perpendiculars

It’s easy to draw a perpendicular line from a certain point on a line. You can do it by picking a point and then using the set square on that point. With the set square, you can get a perfect straight line. If the point is not on the line, use a compass to draw an arc on the line that crosses in two points. Now, put the compass on each point one at a time and draw arcs on the other side of the line. 

When you connect the point to the straight line, the point where the arcs and the line meet will be perpendicular to the line before it. You can also make perpendiculars using the method shown in NCERT solutions for class 6 maths chapter 14 for folding paper.

Angles

In practical geometry class 6 NCERT solutions, you can learn different ways to make angles. Putting a protractor on a line segment and making a mark at the angle measure lets you draw the angle. Connect the marked point to the end of the base line segment with a line.

If you want to copy an angle that you don’t know how to measure, draw a separate line segment and put a point on it. Use the compass to make an arc that crosses both lines at the given angle. Without changing the angle of the compass, draw another arc with the new point as the centre on the new line segment. 

Then, go back to the first angle and put the point of the compass and the pencil on the points where the arc meets the angle. Using the same measurement, draw another arc on the new line so that it meets the first arc. When you connect the point where the two arcs meet with the point on the new line, you will copy the angle.

If you want to cut an angle in half, you can use a compass to draw an arc through the point where the two lines meet in the centre. The arc will then connect both lines. Put the compass on the intersection point on one line of the angle so that the pencil is more than halfway but doesn’t reach the other line. Do the same thing with the other point where the lines meet. The angle bisector is where the two arcs meet.

In this way, you can also make angles of 60, 30, 90, and 120 degrees. For this, you do not need the protractor. With the compass and the ruler, you can make it. If you follow the steps for drawing an angle bisector, you can also make angles that are half of these values. All of these methods are explained in ch. 14 of the NCERT solutions for class 6 math. 

NCERT Solutions for Class 6 Maths
  • 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
  • Class 6 Ncert Solutions
  • Class 7 Ncert Solutions
  • Class 8 Ncert Solutions
  • Class 9 Ncert Solutions
  • Class 10 Ncert Solutions
  • Class 11 Ncert Solutions
  • Class 12 Ncert Solutions

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Frequently Asked Questions on NCERT Solutions for Class 6 Maths Chapter 14

Q.1 How will I draw a perpendicular bisector of a line segment?

With a compass and a pencil, you can draw the perpendicular bisector of a line segment. Think of each end of the line segment as the centre, one at a time, and draw two circles with diameters larger than half the length of the line segment. Connect the two points where the two circles meet. This line is the perpendicular bisector. 

Q.2 How are Class 6 NCERT Solutions helpful for CBSE Board Exams?

NCERT Solutions for Class 6 provide a big number of questions for frequent practice. This makes it easy for pupils to complete all exam questions on time and develops their time management abilities. 
The short-answer and multiple-choice questions keep pupils occupied with problem solving during the whole school year. By doing so, students will be able to identify the exam-relevant topics and spend more time practicing them in order to achieve a perfect score of 100 out of 100. They constitute the most trustworthy study materials for their final exams.

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