NCERT Solutions for Class 7 Maths: If you are looking for NCERT Solutions for Class 7 Maths in PDF for session 2020-21, then you have landed at the right place. In this article, we bring you solutions for exercise questions of all chapters of CBSE Class 7 Maths.
All NCERT solutions have been explained in a detailed manner and in easy language. We get you NCERT Solutions for Class 7 Maths All Chapters PDF for free. Solving NCERT questions is very important to ace the exam with a good score. NCERT Questions are not only important for your school examination but also for various competitive examinations.
NCERT Solutions For Class 7 Maths In PDF For Session 2020-21
Here are the NCERT Solutions for all the chapters of Class 7 Maths. All the solutions have been solved by the academic experts at Embibe in a manner that any 7th class student can understand it:
- 1st Chapter: Integers
- 2nd Chapter: Fractions and Decimals
- 3rd Chapter: Data Handling
- 4th Chapter: Simple Equations
- 5th Chapter: Lines and Angles
- 6th Chapter: The Triangle and its Properties
- 7th Chapter: Congruence of Triangles
- 8th Chapter: Comparing Quantities
- 9th Chapter: Rational Numbers
- 10th Chapter: Practical Geometry
- 11th Chapter: Perimeter and Area
- 12th Chapter: Algebraic Expressions
- 13th Chapter: Exponents and Powers
- 14th Chapter: Symmetry
- 15th Chapter: Visualizing Solid Shapes
NCERT Questions can be a boon if you sincerely invest some time in solving it. Once you are done with the theories of a chapter, you should solve the NCERT questions from the chapter. This will test whether you have understood the concepts well or not. NCERT Solutions have been solved according to the CBSE guidelines.
Advantages Of NCERT Solutions For Class 7 Maths By Embibe
Here are some advantages of NCERT Solutions for 7th Class Maths by Embibe:
- Covered All The Fundamentals: All exercise questions have been covered. We have explained how we have substituted and arrived at the answer. These will help you have a better understanding of the related concepts.
- Helps In Completing Assignments: If you are planning to complete your assignments on time then these NCERT Solutions could be of great help to you. You can go through these NCERT Solutions and understand how our experts have come up with the answer.
- Helpful For Competitive Exams: All solutions are really helpful for various competitive examinations like the Olympiads.
- CBSE Guidelines Have Been Followed: All CBSE guidelines have been followed while framing the answers. We have included every step while explaining the NCERT Solutions.
- Will Help In Quick Revision: You can use these NCERT Solutions for a quick revision of the chapters before the exam. You will be able to glance through all the topics and formulas in a quick span of time.
CBSE NCERT Solutions For Class 7 Maths – Chapter Descriptions
In the following sections, you will find a brief description of the chapters. You can go through the chapter description to get an overview of the chapters/topics in the Class 7 Maths syllabus. You will also find a direct link to the NCERT solution below the chapter description in the following sections. Just click on the link to view and download the NCERT solution for that particular chapter. We have also provided answer PDF for NCERT exercises. You will find the answer PDF link after the chapter description.
Now, let us have a look at the descriptions of all the chapters of CBSE Class 7 Maths:
NCERT Solutions For Class 7 Maths Chapter 1 – Integers
We have learned about whole numbers and integers in Class 6. We know that integers from a bigger collection of numbers which contains whole numbers and negative numbers. What other differences do you find between whole numbers and integers?. In this chapter, we will study more about integers, their properties, and their operations.
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Exercise 1.1 |
10 Questions |
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Exercise 1.2 |
4 Questions |
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Exercise 1.3 |
9 Question |
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Exercise 1.4 |
7 Questions |
Chapter 1: Integers NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 2 – Fractions And Decimals
You have learned fractions and decimals in earlier classes. The study of fractions included proper, improper and mixed fractions as well as their addition and subtraction. We also studied the comparison of fractions, equivalent fractions, representation of fractions on the number line, and ordering of fractions.
Our study of decimals included their comparison, their representation on the number line, and their addition and subtraction. We shall now learn multiplication and division of fractions as well as of decimals.
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Exercise 2.1 |
8 Questions |
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Exercise 2.2 |
8 Questions |
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Exercise 2.3 |
8 Questions |
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Exercise 2.4 |
4 Questions |
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Exercise 2.5 |
9 Questions |
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Exercise 2.6 |
5 Questions |
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Exercise 2.7 |
6 Questions |
Chapter 2: Fractions And Decimals NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 3 – Data Handling
In your previous classes, you have dealt with various types of data. You have learned to collect data, tabulate, and put it in the form of bar graphs. The collection, recording, and presentation of data help us organize our experiences and draw inferences from them.
In this chapter, we will take one more step towards learning how to do this. You will come across some more kinds of data and graphs. There are several kinds of data in newspapers, magazines, television, and other sources. You also know that all data give us some sort of information.
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Exercise 3.1 |
9 Questions |
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Exercise 3.2 |
5 Questions |
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Exercise 3.3 |
6 Question |
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Exercise 3.4 |
3 Questions |
Chapter 3: Data Handling NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 4 – Simple Equations
Suppose Ravi goes to his grandfather to ask him his age. His grandfather tells Ravi that if he multiplies his age by 6 and then adds 8 to the product, he will know the age of his grandfather. Ravi got 62 as an answer. What is the age of Ravi? How do you find that? Ravi is 9 years old.
Suppose a basket contains some apples and oranges. The number of oranges is thrice the number of apples. The total number of fruits in the basket is 200. How do you find the number of apples and oranges? There are 50 apples and 150 oranges.
These are examples of problems that can be solved using simple equations. In this section, we will study simple equations and how to solve them.
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Exercise 4.1 |
6 Questions |
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Exercise 4.2 |
4 Questions |
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Exercise 4.3 |
4 Question |
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Exercise 4.4 |
4 Questions |
Chapter 4: Simple Equations NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 5 – Lines And Angles
In geometry, lines are figures that are made up of infinite points extending indefinitely in both directions. Lines are straight and have negligible depth or width. There are a variety of lines you will learn about, such as perpendicular lines, intersecting lines, transversal lines, etc.
An angle is a figure in which two rays emerge from a common point. You may also come across alternate and corresponding angles. So in this chapter, we will learn about Lines, Angles, and their properties.
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Exercise 5.1 |
14 Questions |
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Exercise 5.2 |
6 Questions |
Chapter 5: Lines And Angles NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 6 – The Triangle And Its Properties
This chapter will teach students that the six elements of a triangle are its three angles and the three sides. The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle. The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle.
Students will also know that an exterior angle of a triangle is formed when a side of a triangle is produced. At each vertex, you have two ways of forming an exterior angle.
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Exercise 6.1 |
3 Questions |
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Exercise 6.2 |
2 Questions |
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Exercise 6.3 |
2 Question |
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Exercise 6.4 |
6 Questions |
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Exercise 6.5 |
8 Questions |
Chapter 6: The Triangle And Its Properties NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 7 – Congruence Of Triangles
CBSE Class 7 Maths Chapter 7 Congruence of Triangles teaches students that Congruent objects are exact copies of one another. The method of superposition examines the congruence of plane figures. Students will also know SSS Congruence of two triangles: Under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other.
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Exercise 7.1 |
4 Questions |
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Exercise 7.2 |
9 Questions |
Chapter 7: Congruence Of Triangles NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 8 – Comparing Quantities
Class 7 Maths Chapter 8 explains the importance of comparing two quantities in our daily life. They may be heights, weights, salaries, marks, etc. While comparing heights of two persons with heights 150 cm ad 75 cm, we write it in the form of a ratio – 150:75 or 2:1. Two ratios can be compared by converting them to like fractions. If the two fractions are equal, we say the two given ratios are equivalent.
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Exercise 8.1 |
3 Questions |
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Exercise 8.2 |
10 Questions |
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Exercise 8.2 |
11 Questions |
Chapter 8: Comparing Quantitiess NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 9 – Rational Numbers
This chapter will teach students that the number 0 is neither a positive nor a negative rational number. There is an unlimited number of rational numbers between two rational numbers. Two rational numbers with the same denominator can be added by adding their numerators, keeping the denominator the same. Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both the rational numbers to their equivalent forms having the LCM as the denominator.
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Exercise 9.1 |
10 Questions |
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Exercise 9.2 |
4 Questions |
Chapter 9: Rational Numbers NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 10 – Practical Geometry
This chapter teaches the students about the construction of a line parallel to a given line, through a point not on the line. Further, the Construction of a triangle when the lengths of its three sides are known (SSS Criterion) has been taught here. Students will also learn how to construct a right-angled triangle when the length of one leg and its hypotenuse are given (RHS Criterion).
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Exercise 10.1 |
3 Questions |
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Exercise 10.2 |
2 Questions |
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Exercise 10.3 |
2 Questions |
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Exercise 10.4 |
6 Questions |
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Exercise 10.5 |
8 Questions |
Chapter 10: Practical Geometry NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 11 – Perimeter and Area
Perimeter is the distance of the boundary of a closed figure while the area is the plane or region occupied by a closed figure. In this chapter, you will learn how to calculate the perimeter and area of the square and rectangle. You will find out how the formula for the area of the triangle is calculated from the area of the rectangle. You will also discover the formula for the area of the parallelogram.
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Exercise 11.1 |
8 Questions |
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Exercise 11.2 |
8 Questions |
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Exercise 11.3 |
17 Question |
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Exercise 11.4 |
11 Questions |
Chapter 11: Perimeter and Area NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 12 – Algebraic Expressions
Algebraic expressions are formed by the relationship between variables. A variable is just a factor that can take many values. We usually represent variables as some letters like a, b or x, etc. Now consider the equation 2x + 3y. In order to form this expression first, we multiplied 2 with x and 3 with y. When we did that we got the term as 2x and 3y. After adding these two terms, we got the expression 2x + 3y.
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Exercise 12.1 |
7 Questions |
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Exercise 12.2 |
6 Questions |
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Exercise 12.3 |
10 Question |
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Exercise 12.4 |
2 Questions |
Chapter 12: Algebraic Expressions NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 13 – Exponents
Exponents are the power of the number. For example, if you have a big number like 10 multiplied by itself 45 times then you can represent it with the help of powers. In this case, it will be 1045. Note that you need to apply different rules when you are dealing with exponents. In this chapter, you will see the multiplication, addition, division, etc. of numbers having exponents.
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Exercise 13.1 |
10 Questions |
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Exercise 13.2 |
5 Questions |
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Exercise 13.2 |
4 Questions |
Chapter 13: Exponents NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 14 – Symmetry
Symmetry can be found everywhere in nature as well as in our day-to-day lives. An object is said to be symmetrical if it can be divided into two parts and both the parts are identical to each other. Symmetry can be found in ancients civilization as well mostly in the architecture of the buildings.
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Exercise 14.1 |
10 Questions |
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Exercise 14.2 |
2 Questions |
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Exercise 14.2 |
7 Questions |
Chapter 14: Symmetry NCERT Solutions – Download PDF
NCERT Solutions For Class 7 Maths Chapter 15 – Visualizing Solid Shapes
This chapter deals with the classification of various objects based on their shapes. Like the circle, the square, the rectangle, the quadrilateral, and the triangle are examples of plane figures; the cube, the cuboid, the sphere, the cylinder, the cone, and the pyramid are examples of solid shapes. Here, you will learn how to make sketches of solid objects on a plane. You will learn how to see the solid from different angles and have them drawn on the paper.
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Exercise 15.1 |
5 Questions |
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Exercise 15.2 |
5 Questions |
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Exercise 15.3 |
1 Question |
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Exercise 15.4 |
3 Questions |
Chapter 15: Visualizing Solid Shapes NCERT Solutions – Download PDF
How To Prepare For Class 7 Maths?
Given below are some of the preparation tips for Class 7 Maths:
- Prepare a plan/schedule for your studies. This is especially helpful before exams as you can refer to the plan and avoid wasting time in thinking about what to study.
- Maths is all about practice. Therefore, you should practice problems/questions regularly.
- Cover all the topics beforehand so that you do not feel overwhelmed right before the exams.
- Solve as many sample papers and take as many mock tests as possible. This will improve your speed and accuracy and give you an understanding of the variety of questions.
Some Important Questions For 7th Grade Maths
We have provided some important questions for Class 10 Science to help you understand the subject better. We have also included questions from NCERT Exemplar.
| 1. Taking today as zero on the number line, if the day before yesterday is 18 February, what is the date on 3 days after tomorrow? |
| 2. Reema reads 1/5th pages of a book. If she reads further 40 pages, she would have read 7/10th page of the book. How many pages are left to be read? |
| 3. A bag contains 4 white and 8 red balls. One ball is drawn at random from the bag. Find the probability of getting (a) a white ball (b) a red ball |
| 5. The present age of a son is half the present age of his father. Ten years ago, the father was thrice as old as his son. What is their present age? |
| 6. Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle. |
| 7. I have three sides. One of my angles measures 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I? |
| 8. The price of a is machine ₹ 7500. Its value decreases by 5% every year. What will be its price after one year? |
| 9. During a sale, the cost of an object is ₹ 260 with 20% off. The same object is available at other shops for ₹ 455 with a 6% discount. Which is a better deal and by how much? |
| 10. Construct a ΔLMN in which m∠l = 60° and m∠m = 30°, MN = 3.6 cm. |
| 11. A park in the shape of the rectangle is 56 m long and 40 m wide. A path 3.5 m wide is constructed outside the park. Find the area of the path. |
| 12. If X = -(3x + 2), Y = -3(x – 2) and Z = -3x + 7. Find the value of k if (X + Y + Z) = kx. |
| 13. A playground is 160 m long and 80 m wide. In it 80 m × 80 m is kept for swings and in the remaining portion, there are 1.5 m wide paths parallel to its width and parallel to its remaining length as shown in Figure. The remaining area is covered by grass. Find the area covered by grass. |
| 14. The present age of a son is half the present age of his father. Ten years ago, the father was thrice as old as his son. What are their present age? |
| 15. Solve the equation: 3(y – 2) = 2(y – 1) – 3 |
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FAQs Related To NCERT Solutions
Here are some frequently asked questions and their answers:
A1. While solving the exercise questions from your NCERT books, if you get stuck in the middle, you can refer to the NCERT Solutions. There are many more advantages of referring to the NCERT Solutions provided in this article.
A2. You can download the NCERT Solutions PDF for free from this article.
A3. Yes, all the NCERT Solutions has been solved by the academic experts at Embibe as per the CBSE Curriculum.
We hope that these CBSE NCERT Solutions for Class 7 Maths help you in your studies. If you have any doubts, then you can ask in the comment section below. We will get back to you at the earliest.
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