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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 Apr 28, 2025 12:09 PM IST
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Mathematics is one of the important subjects in class 7 as it lays the foundation for advanced topics in higher education. The Class 7 syllabus covers a set of important topics under concepts like types of numbers, algebra, geometry, and data handling. Understanding these concepts are very crucial for improving the students' logical thinking, problem-solving skills, and overall academic performance. The NCERT Solutions of this chapter provide a clear explanation and step-by-step solutions for all the exercise questions.

This Story also Contains
  1. Class 7 Maths NCERT Chapter Wise Solutions
  2. NCERT Solutions for Class 7 Maths Chapter-wise
  3. How to Download NCERT Solutions PDF?
  4. 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

These solutions will provide you with step-by-step explanations with conceptual clarity with respect to the latest NCERT Syllabus. These solutions are completely reliable as it is created by subject matter experts at Careers360. These solutions are of great help for the practice and revision during the exams.

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Class 7 Maths NCERT Chapter Wise Solutions

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

Chapter 1: Integers

Integers are numbers that include the positive numbers, negative numbers and zero. This chapter on integers helps students understand the rules and properties of integers. It mainly introduces the fundamental operations like addition, subtraction, multiplication, and division of integers.

Chapter 2: Fractions and Decimals

This chapter on Fractions and Decimals helps students understand the concepts of fractions and numbers with decimal points. It covers important concepts like addition, subtraction, multiplication, and division of both fractions and decimals.

Chapter 3: Data Handling

Data Handling is a concept that helps students learn how to collect, organise, and understand information from data. This chapter includes topics like bar graphs, pie charts, mean, median, and mode from the data. These concepts help students read and compare data easily.

Chapter 4: Simple Equations

Simple Equations is a chapter on the concept of forming and solving equations using variables. It helps to find the value of an unknown quantity by performing operations on both sides of the equation.

Chapter 5: Lines and Angles

Lines and Angles gives the different types of lines, such as intersecting, parallel, and perpendicular lines, and different angles like acute, obtuse, and right angles. It introduces key concepts such as complementary and supplementary angles, vertically opposite angles, and linear pairs. This chapter also helps with the basic rules for angles formed when two lines intersected by a transversal. Understanding these concepts helps in solving geometric problems.

Chapter 6: The Triangle and Its Properties

This chapter on Triangles and their Properties gives the different types of triangles based on sides and angles. It elaborates on important concepts like the angle sum property, the exterior angle property, and the properties of isosceles and equilateral triangles. This chapter also gives the concept of medians and altitudes in a triangle, along with the Pythagoras theorem. These properties help in understanding the structure of triangles and are useful in solving many geometrical problems.

Chapter 7: Comparing Quantities

Comparing Quantities is a chapter with concepts that compare two or more quantities in terms of ratios, percentages, and proportions. It includes topics like percentages, profit and loss, simple interest, and converting decimals and fractions into percentages.

Chapter 8: Rational Numbers

Rational numbers are numbers that can be expressed in the form pq, where p and q are integers and q0. This chapter introduces concepts like operations on rational numbers like addition, subtraction, multiplication and division. It also gives the rules and the properties of rational numbers.

Chapter 9: Perimeter and Area

Perimeter and Area calculates the perimeter(length of boundary) and area(space enclosed within the figure) of various two-dimensional shapes such as rectangles, squares, triangles, and circles.

Chapter 10: Algebraic Expressions

Algebraic Expressions introduces students to expressions involving variables, constants, and fundamental operations like addition, subtraction, multiplication, and division. The chapter gives the methods for simplifying expressions and performing operations on algebraic expressions. This topic is fundamental for building a strong foundation in algebra and is essential for solving more complex mathematical problems in higher classes.

Chapter 11: Exponents and Powers

Exponents and Powers gives the rules and properties of exponents, helping students understand how to simplify expressions with powers. The chapter covers concepts such as the laws of exponents and positive and negative powers.

Chapter 12: Symmetry

This chapter on symmetry gives the concept of identical parts in geometric figures. The chapter explores lines of symmetry, rotational symmetry, and reflective symmetry. It also covers the properties of symmetric figures and their real-world applications.

Chapter 13: Visualising Solid Shapes

Visualising Solid Shapes helps students understand three-dimensional figures by in various angles, such as top, front, and side views. This chapter introduces basic solid shapes like cubes, cuboids, spheres, cylinders, and cones

NCERT Solutions for Class 7 Maths Chapter-wise

How to Download NCERT Solutions PDF?

Below are the steps to download the NCERT Solutions PDF for each chapter of Class 7 Maths at Careers360.

  1. Select the chapter you need to download the solutions.
  2. Click on the “Download PDF” link for the respective chapter.
  3. The link will take you to that chapter page. On the right corner of the top of the page, there is a Download PDF button in orange.
  4. Save the PDF to your device and start studying!

Other Resources for Class 7 Maths

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

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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