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NCERT Solutions for Class 7 Maths - Download Chapterwise PDF Solution

NCERT Solutions for Class 7 Maths - Download Chapterwise PDF Solution

Edited By Komal Miglani | Updated on Jul 07, 2025 08:39 AM IST
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Mathematics is like a game in Class 7; every formula you learn is a new move towards victory. In Class 7, Math is one of the important subjects, as it lays the foundation for advanced topics in higher education. The Class 7 syllabus covers a set of important topics under concepts such as large numbers, basic geometry, fractions, expressions using letter-numbers and arithmetic expressions. Understanding these concepts is crucial for improving the students' logical thinking, problem-solving skills, and overall academic performance. These NCERT Solutions for class 7 of this chapter provide a clear explanation and step-by-step solutions for all the exercise questions and turn your doubts into your strengths.

This Story also Contains
  1. Class 7 Maths NCERT Chapter Wise Solutions
  2. Chapter 1: Large Number Around Us
  3. Chapter 2: Arithmetic Expressions
  4. Chapter 3: A Peek Beyond the Point
  5. Chapter 4: Expressions using Letter-Numbers
  6. Chapter 5: Parallel and Intersecting Lines
  7. Chapter 6: Number Play
  8. Chapter 7: A Tale of Three Intersecting Lines
  9. Chapter 8: Working with Fractions
  10. How to Download NCERT Books PDF?
  11. Other Resources for Class 7 Maths
NCERT Solutions for Class 7 Maths - Download Chapterwise PDF Solution
NCERT Solutions for Class 7 Maths - Download Chapterwise PDF Solution

The mantra of success in mathematics is that the more you practice, the stronger your problem-solving superpower becomes. These NCERT Solutions for Class 7 Maths are the stepping stones to clear basic concepts and confident learning. These solutions are completely reliable, as they are created by experienced subject matter experts at Careers360. These solutions can be a great tool for practice and revision during the exams. For syllabus, notes, and PDF, refer to this link: NCERT.

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Class 7 Maths NCERT Chapter Wise Solutions

Check out the chapter-wise NCERT solutions for Class 7 Maths in the links below.

Chapter 1: Large Number Around Us

This chapter will teach us about large numbers — lakhs, crores, and Arabs; millions and billions and how to read and write these numbers in the Indian and American/International naming systems.

Topics:

  • Understanding large numbers (lakhs, crores, and Arabs; millions and billions)
  • Place value and expanded form of large numbers
  • Comparing and ordering large numbers
  • Word problems based on large numbers

Chapter 2: Arithmetic Expressions

In this chapter, students will learn how to compare certain expressions through reasoning instead of bluntly evaluating them. Also, they learn the usage of terms and brackets.

Topics:

  • Basics of arithmetic expressions
  • Simplifying expressions
  • Comparing expressions
  • Evaluating expressions for given values
  • Operations on expressions

Chapter 3: A Peek Beyond the Point

This chapter will teach students how to split a unit into smaller parts to get more exact/accurate measurements. This chapter also covers important topics like comparing decimal numbers, placing them on a number line, and performing addition and subtraction with them.

Topics:

  • Introduction to smaller units
  • The tenth and hundredth part of the units
  • Decimal Place Value
  • Units of Measurement
  • Weight Conversion
  • Rupee ─ Paise conversion
  • Addition and Subtraction of Decimals

Chapter 4: Expressions using Letter-Numbers

This chapter will discuss algebraic expressions that use not only numbers but also letter-numbers. We will also discuss patterns or relationships that are easily written using algebra can often be long and complex in ordinary language.

Topics:

  • Algebraic expressions
  • Use of letters as variables in expressions
  • Omission of the Multiplication Symbol in Algebraic Expressions
  • Simplification of Algebraic Expressions
  • Addition, subtraction, and multiplication of algebraic expressions
  • Algebraic Expressions to Describe Patterns
  • Patterns in a Calendar

Chapter 5: Parallel and Intersecting Lines

This chapter will clear the concepts of Parallel, Perpendicular and Transversal lines. Also, the angles created by these lines will be an important topic in this chapter.

Topics:

  • Definition and properties of parallel lines
  • Definition and properties of perpendicular lines
  • Parallel and Perpendicular Lines in Paper Folding
  • Intersection of lines and the concept of intersecting lines
  • Angles formed by parallel lines and transversals
  • Types of angles in intersecting lines

Chapter 6: Number Play

This chapter explains how to arrange numbers (like height measurements) in sequence without knowing the numbers themselves, distinguishing between numbers forming pairs (even numbers) and those that don't. It also shows how to determine the parity of sums and products, explores sums in grids, and examines Virahāṅka–Fibonacci numbers.

Topics:

  • Number patterns and their properties
  • Some Explorations in Grids
  • Factors and multiples
  • Prime and composite numbers
  • Nature’s Favourite Sequence: The Virahāṅka– Fibonacci Numbers
  • Divisibility rules and related problems

Chapter 7: A Tale of Three Intersecting Lines

This chapter will introduce students to the world of triangles and how to draw them using a compass. We will learn to construct triangles when we know two sides and their included angle, or two angles and their included side. This chapter also includes types of triangles based on their sides and angles.

Topics:

  • Equilateral Triangles
  • Constructing a Triangle When its Sides are Given
  • Triangle Inequality
  • Construction of Triangles When Some Sides and Angles are Given
  • Angle Sum Property
  • Constructions Related to Altitudes of Triangles
  • Types of Triangles

Chapter 8: Working with Fractions

This chapter is the expanded version of fractions that we learned in class 6. This chapter covers various fraction operations, fraction word problems, Brahmagupta's formula, and techniques for simplifying fractions.

Topics:

  • Fractions and their types
  • Operations on fractions (addition, subtraction, multiplication, division)
  • Simplifying fractions
  • Brahmagupta’s formula
  • Word problems involving fractions

How to Download NCERT Books PDF?

Given below is the step-by-step process on how students can easily download the PDF of NCERT books:

  • 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 VII’ from the "Select class" dropdown and select "Mathematics" from the "Select Subject" drop-down list.
  • Now choose the name of the book: Ganita Prakash, 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 6, Number Play, click on the "Open" link beside chapter 6.
  • 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 Class 7 Maths

Students can also refer to the other study resources for class 7 maths using the links below.

Here are the links to the chapter-wise solutions of Maths and Science.

Frequently Asked Questions (FAQs)

1. What are NCERT solutions for Class 7 Maths?

NCERT solutions for Class 7 Maths are comprehensive answers to the questions provided in the NCERT Class 7 Maths textbook. These solutions are created by subject matter experts to help students understand concepts clearly and prepare effectively for exams.

2. How can NCERT solutions help me in my studies?

NCERT solutions provide step-by-step explanations for all problems in the textbook, helping you understand complex concepts easily. They serve as a great revision tool, aid in homework completion, and prepare you for exams by covering all the important topics.

3. Where can I download free NCERT solutions for Class 7 Maths?

You can download free chapter-wise NCERT solutions for Class 7 Maths from Careers360. Simply visit our Class 7 Maths NCERT Solutions Page, select the chapter you need, and click on the “Download PDF” link.

4. Are the NCERT solutions available for offline use?

Yes, all our NCERT solutions are available for free download in PDF format, allowing you to access them offline and study without any interruptions.

5. Are these solutions updated according to the latest NCERT curriculum?

Yes, our solutions are regularly updated to align with the latest NCERT guidelines and curriculum changes, ensuring you have the most accurate and up-to-date information.

6. Do these solutions cover all chapters in the Class 7 Maths textbook?

Yes, our NCERT solutions cover all chapters in the Class 7 Maths textbook, including Integers, Fractions and Decimals, Data Handling, Simple Equations, Lines and Angles, and more.

7. How can I improve my Maths skills using NCERT solutions?

To improve your Maths skills, practice regularly using the NCERT solutions. Focus on understanding the concepts behind each solution, solve additional problems, and use the solutions as a guide to check your work and understand any mistakes.

8. Are there any additional resources available for Class 7 Maths?

Yes, along with NCERT solutions, Careers360 provides other resources such as NCERT notes, NCERT exemplar solutions, and links to the CBSE syllabus and NCERT books. These resources can further aid in your studies and provide comprehensive coverage of the syllabus.

9. How can I access NCERT notes and exemplar solutions?

You can access NCERT notes and exemplar solutions through the "Additional Resources" section on our page. These resources are designed to complement the NCERT solutions and provide further practice and clarity on various topics.

10. What should I do if I have questions or need additional support?

 If you have any queries or need additional support, feel free to reach out to us through our contact page. Our team of experts is always ready to help you with your academic needs.

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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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