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NCERT Solutions for Class 6 Maths - Download Chapterwise PDF

NCERT Solutions for Class 6 Maths - Download Chapterwise PDF

Edited By Komal Miglani | Updated on Jul 07, 2025 08:34 AM IST

Mathematics plays a significant role in our day-to-day life. It teaches us about numbers, patterns, shapes, and more, helping students develop problem-solving, analytical, and logical skills. NCERT Class 6 Maths lays the foundation for higher-level mathematics by introducing students to patterns in mathematics, lines and angles, perimeter and area, data handling, fractions, and constructions, among other topics. These NCERT Solutions for Class 6 Maths help students to strengthen their basics by solving questions based on real-life examples.

This Story also Contains
  1. Class 6 Maths NCERT Solutions Chapter Wise
  2. How to Download NCERT Books PDF?
  3. Other Resources for NCERT Class 6 Maths
NCERT Solutions for Class 6 Maths - Download Chapterwise PDF
NCERT Solutions for Class 6 Maths - Download Chapterwise PDF

The solutions provided here are clear and presented in a step-by-step manner, making them easy to understand. These solutions are reliable and accurate as they are created by the subject matter experts at Careers360. These articles, along with NCERT Solutions for Class 6, can be utilised by students for exam preparation, as they help to revise and face exam questions with confidence. Access all study materials, chapter summaries, and NCERT PDFs from this link.

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Class 6 Maths NCERT Solutions Chapter Wise

Students can check out the NCERT Solutions for Class 6 Maths using the links below.

Chapter 1: Patterns in Mathematics

Patterns are a regular arrangement of shapes, objects or numbers in a certain rule. Most of the things around us follow a pattern. In this chapter, students will learn to identify patterns in things, shapes, or numbers and learn to form these patterns. This concept of patterns lays a foundation for the advanced mathematical topic of sequences.

Chapter 2: Lines and Angles

The concept of lines and angles lays the foundation for geometry. Lines are straight figures with infinite length, and angles are formed when two rays meet at a common point. This chapter on lines and angles covers topics like types of lines, types of angles, and their respective properties.

Chapter 3: Number Play

This chapter on number play is a fun method to learn patterns and properties of numbers, like reversing digits, divisibility rules, using puzzles, and tricks.

Chapter 4: Data Handling and Presentation

A collection of information is called data. In this chapter, students will learn how to represent data and will work with data graphs like pictographs and bar graphs.

Chapter 5: Prime Time

Prime time is a chapter about prime numbers. Prime numbers are a type of number that is divisible only by 1 and by itself. Students will be able to learn more about the prime numbers and their properties in this chapter.

Chapter 6: Perimeter and Area

Perimeter is the length of the boundary of a shape, and Area is the space enclosed within the boundary of the shape. In this chapter, students will learn to calculate the perimeter and the area of various shapes like rectangles, squares and triangles.

Chapter 7: Fractions

A fraction is a type of number that represents the part of something whole. This chapter covers various topics in fractions like addition, subtraction, multiplication and division of fractions, improper fractions, etc.

Chapter 8: Playing with Constructions

This chapter of Playing with Constructions covers topics construction of a line, an angle, and some shapes using tools like a ruler, a compass, and a protractor.

Chapter 9: Symmetry

Symmetry is when a figure can be divided into identical halves. Symmetry gives beauty to many constructions and patterns. For example, the figure of the Taj Mahal is symmetrical (vertically), and rangoli with symmetry will look good. The chapter talks about the line of symmetry of figures.

Chapter 10: The Other Side of Zero

This chapter on The Other Side of Zero is about the type of number called integers. Integers include negative numbers, zero, and positive numbers. This chapter covers topics like marking the integers on number lines and the addition and subtraction of integers.

How to Download NCERT Books PDF?

Here are the steps to download the NCERT books in PDF.

  • Go to the official link: https://ncert.nic.in/
  • Search "Textbook" in the search bar on the upper right-hand side of the site.
  • "Textbooks PDF (I-XII)" will show up. Click on this.
  • Choose ‘Class VI’ from the "Select class" dropdown and select "Mathematics" from the "Select Subject" drop-down list.
  • Now choose the name of the book: Mathematics (for English medium)/ Ganita Prakash (for Hindi medium)/ Ganita Prakash (for Odia medium) and click on the “Go” button.
  • All the relevant chapters, according to the latest CBSE syllabus, will show up on the left-hand side of the screen.
  • Click on "Open" for the chapter you want to download. For example, if you want to download chapter 3, Number Play, click on the "Open" link beside chapter 3.
  • Then, you can see the download option of the PDF on the upper right-hand side of the PDF beside the "Print" option. Click on that to download the chapter.

Other Resources for NCERT Class 6 Maths

Students can refer to the other resources, like the syllabus, books for Class 6, using the links below.

Frequently Asked Questions (FAQs)

1. How does these NCERT solutions are helpful ?

NCERT solutions are helpful for the students when they stuck while solving the problems. As these solutions are provided in a very simple language, so it can be understood by an average student also.

2. Do students need to use the NCERT Solutions for 6th standard Maths PDFs?

The NCERT Solutions for 6th class maths have been developed by the experts at Careers360 through extensive research on each concept. Students who have queries during class hours can download the solution PDFs from BYJU’S and learn the concepts effectively. These solutions are available in both chapter-wise and exercise-wise formats, which assist students in preparing for their exams with confidence.

3. Where can I find the complete solutions of NCERT class six ?

Here, class 6 math solutions are provided. You can access these by clicking the link for NCERT solutions for class 6. These are prepared by the expert team at Careers360 keeping in mind the latest CBSE syllabus. Practice these to get an in-depth understanding and a good grasp on the concepts.

4. Do students need to solve all the problems provided in the NCERT Solutions for Class 6 Maths?

In the CBSE board exams, every problem, regardless of its level of difficulty, is crucial. Therefore, it is recommended that students solve the NCERT textbook problems daily to grasp the fundamental concepts. Regular practice enables students to identify their weaknesses and work on them to achieve better academic scores. The step-by-step explanations provided for each problem in the NCERT Solutions will aid students in performing well in their annual exams.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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