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**NCERT Solutions Class 7 Maths: **NCERT Solutions should be practiced by students who desire to do well in their Class 7 Maths exam. Those who are having difficulty answering questions from the Class 7 Maths NCERT Book can benefit from the free NCERT Solutions available here. For students looking for the most thorough and detailed NCERT Solutions for Class 7, Embibe has produced step-by-step solutions with clear explanations. These exercises were created by our expert tutors to help students prepare for their exams and achieve high grades in the subject.

NCERT solutions for class 7 mathematics cover all NCERT textbook sums based on triangles, area, and perimeter of various shapes, data management, integers, and other topics. Math professionals created these NCERT solutions for class 7 mathematics to appeal to youngsters of all cognitive abilities. As a result, the development of auxiliary skills and mathematical aptitude benefits CBSE pupils.

For efficient learning, students should use the NCERT answers given by Embibe. Students should certainly refer to the NCERT Solution for Class 7 Maths if they want to improve their understanding and create a firm basis for higher levels. It will be easier for them to learn if they refer to this PDF.

Students will find all the information they need right there on Embibe. All that students need to do, is to get the PDF and start studying. Students can download the NCERT Class 7 maths solutions from the detailed articles given below:

**NCERT Maths Book Class 7 Solutions PDF – 7th Standard Maths Guide**

**NCERT Solutions for Class 7 Maths Chapter 1**: Integers**NCERT Solutions for Class 7 Maths Chapter 2**: Fractions and Decimals**NCERT Solutions for Class 7 Maths Chapter 3**: Data Handling**NCERT Solutions for Class 7 Maths Chapter 4**: Simple Equations**NCERT Solutions for Class 7 Maths Chapter 5**: Lines and Angles**NCERT Solutions for Class 7 Maths Chapter 6**: The Triangle and its Properties**NCERT Solutions for Class 7 Maths Chapter 7**: Congruence of Triangles**NCERT Solutions for Class 7 Maths Chapter 8**: Comparing Quantities**NCERT Solutions for Class 7 Maths Chapter 9**: Rational Numbers**NCERT Solutions for Class 7 Maths Chapter 10**: Practical Geometry**NCERT Solutions for Class 7 Maths Chapter 11**: Perimeter and Area**NCERT Solutions for Class 7 Maths Chapter 12**: Algebraic Expressions**NCERT Solutions for Class 7 Maths Chapter 13**: Exponents and Powers**NCERT Solutions for Class 7 Maths Chapter 14**: Symmetry**NCERT Solutions for Class 7 Maths Chapter 15**: Visualizing Solid Shapes

**Check other important articles for Class 7:**

Students have learned about whole numbers and integers in Grade 6. In this chapter, they shall have some more additional information related to the introduction of integers. Other than identifying that whole numbers, and negative numbers are a part of integers, we will also see the properties the integers possess, and how are they related to natural and whole numbers.

They will figure out how to write integers on a number line. Additive inverse and other terms will be pre and their operations. The total number of questions in Exercise 1.1 is ten. Students will learn about the properties of integer addition and subtraction after completing activity 1. Exercise 1.2 includes four questions and is based on integer characteristics. They will also learn about the closure under the addition and subtraction of integers. Additive identity, commutative and associative properties, will also be gone through. 9 questions are included in Exercise 1.3, all of which are based on the above-mentioned principles. The multiplication of integers is the next concept that the students will study in exercises 1.4 and 1.5. In the last section of the chapter, exercises 1.6 and 1.7 will provide the required information about the division of integers.

Chapter 1 of Class 7 Maths consists of the following exercises:

- 1.1 Introduction
- 1.2 Recall
- 1.3 Properties Of Addition And Subtraction Of Integers
- 1.4 Multiplication Of Integers
- 1.5 Properties Of Multiplication Of Integers
- 1.6 Division Of Integers
- 1.7 Properties Of Division Of Integers

The study of fractions includes proper, improper, and mixed fractions as well as their addition and subtraction. We will also study the comparison of fractions, equivalent fractions, representation of fractions on the number line, and ordering of fractions. Our study of decimals will include their comparison, their representation on the number line, and their addition and subtraction. In this chapter, we will learn the multiplication and division of fractions as well as decimals. Chapter 2 of Class 7 Maths consists of the following exercises:

- 2.1 Introduction
- 2.2 How Well Have You Learnt About Fractions?
- 2.3 Multiplication Of Fractions
- 2.4 Division Of Fractions
- 2.5 How Well Have You Learnt About Decimal Numbers
- 2.6 Multiplication Of Decimal Numbers
- 2.7 Division Of Decimal Numbers

In this chapter, we will take one more step towards learning how to do data handling. Students will come across some more kinds of data and graphs. There are several kinds of data in newspapers, magazines, television, and other sources. They will also know that all data give us some sort of information. Chapter 3 of Class 7 Maths consists of the following exercises:

- 3.1 Introduction
- 3.2 Collecting Data
- 3.3 Organisation Of Data
- 3.4 Representative Values
- 3.5 Arithmetic Mean
- 3.6 Mode
- 3.7 Median
- 3.8 Use Of Bar Graphs With A Different Purpose
- 3.9 Chance And Probability

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 to 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. Chapter 4 of Class 7 Maths consists of the following exercises:

- 4.1 A Mind-Reading Game!
- 4.2 Setting Up Of An Equation.
- 4.3 Review Of What We Know.
- 4.4 What Equation Is?
- 4.5 More Equations.
- 4.6 From Solution To Equation.
- 4.7 Applications Of Simple Equations To Practical Situations.

In geometry, lines are figures 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 they will learn about, such as perpendicular lines, intersecting lines, transversal lines, etc. So, in this chapter, we will learn about lines, angles, and their properties. Chapter 5 of Class 7 Maths consists of the following exercises:

- 5.1 Introduction.
- 5.2 Related Angles.
- 5.3 Pairs Of Lines.
- 5.4 Checking For Parallel Lines.

This chapter will teach students that the six elements of a triangle are its three angles and the three sides. The perpendicular line segment from a vertex of a triangle to its opposite side is called the 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. Chapter 6 of Class 7 Maths consists of the following exercises:

- 6.1 Introduction.
- 6.2 Medians Of A Triangle.
- 6.3 Altitudes Of A Triangle.
- 6.4 Exterior Angle Of A Triangle And Its Property.
- 6.5 Angle Sum Property Of A Triangle.
- 6.6 Two Special Triangles: Equilateral And Isosceles.
- 6.7 Sum Of The Lengths Of Two Sides Of A Triangle.
- 6.8 Right-Angled Triangles And Pythagoras Property.

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. Chapter 7 of Class 7 Maths consists of the following exercises:

- 7.1 Introduction.
- 7.2 Congruence Of Plane Figures.
- 7.3 Congruence Among Line Segments.
- 7.4 Congruence Of Angles.
- 7.5 Congruence Of Triangles.
- 7.6 Criteria For Congruence Of Triangles.
- 7.7 Congruence Among Right-Angled Triangles.

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 the heights of two persons with heights 150 cm and 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. Chapter 8 of Class 7 Maths consists of the following exercises:

- 8.1 Introduction.
- 8.2 Equivalent Ratios.
- 8.3 Percentage – Another Way Of Comparing Quantities.
- 8.4 Use Of Percentages.
- 8.5 Prices Related To An Item Or Buying And Selling.
- 8.6 Charge Given On Borrowed Money Or Simple Interest.

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. This chapter will teach students that the number 0 is neither a positive nor a negative rational number. Chapter 9 of Class 7 Maths consists of the following exercises:

- 9.1 Introduction
- 9.2 Need For Rational Numbers.
- 9.3 What Are Rational Numbers?
- 9.4 Positive And Negative Rational Numbers.
- 9.5 Rational Numbers On A Number Line.
- 9.6 Rational Numbers In Standard Form.
- 9.7 Comparison Of Rational Numbers.
- 9.8 Rational Numbers Between Two Rational Number.
- 9.9 Operations On Rational Numbers.

This chapter teaches 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). Chapter 10 of Class 7 Maths consists of the following exercises:

- 10.1 Introduction
- 10.2 Construction Of A Line Parallel To A Given Line, Through A Point Not On The Line.
- 10.3 Construction Of Triangles.
- 10.4 Constructing A Triangle When The Lengths Of Its Three Sides Are Known (SSS Criterion)
- 10.5 Constructing A Triangle When The Lengths Of Two Sides And The Measure Of The Angle Between Them Are Known. (SAS Criterion)
- 10.6 Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)
- 10.7 Constructing A Right-Angled Triangle When The Length Of One Leg And Its Hypotenuse Are Given (RHS Criterion).

In this chapter, students will learn how to calculate the perimeter and area of the square and rectangle. They will find out how the formula for the area of the triangle is calculated from the area of the rectangle. They will also discover the formula for the area of the parallelogram. Chapter 11 of Class 7 Maths consists of the following exercises:

- 11.1 Introduction.
- 11.2 Squares And Rectangles.
- 11.3 Area Of A Parallelogram.
- 11.4 Area Of A Triangle.
- 11.5 Circles.
- 11.6 Conversion Of Units.
- 11.7 Applications.

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. In this chapter, students will discover how to form an algebraic expression. Chapter 12 of Class 7 Maths consists of the following exercises:

- 12.1 Introduction.
- 12.2 How Are Expressions Formed?
- 12.3 Terms Of An Expression.
- 12.4 Like And Unlike Terms.
- 12.5 Monomials, Binomials, Trinomials And Polynomials.
- 12.6 Addition And Subtraction Of Algebraic Expressions.
- 12.7 Finding The Value Of An Expression.
- 12.8 Using Algebraic Expressions – Formulas And Rules.

Exponents are the power of the number. We need to apply different rules when we are dealing with exponents. In this chapter, students will see the multiplication, addition, division, etc. of numbers having exponents. Chapter 13 of Class 7 Maths consists of the following exercises:

- 13.1 Introduction.
- 13.2 Exponents.
- 13.3 Laws Of Exponents.
- 13.4 Miscellaneous Examples Using The Laws Of Exponents.
- 13.5 Decimal Number System.
- 13.6 Expressing Large Numbers In The Standard Form.

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 ancient civilizations, mostly in the architecture of the buildings. In this chapter, students will learn about how symmetry is used in day-to-day life. Chapter 14 of Class 7 Maths consists of the following exercises:

- 14.1 Introduction: Symmetry
- 14.2 Lines Of Symmetry For Regular Polygons.
- 14.3 Rotational Symmetry.
- 14.4 Line Symmetry And Rotational Symmetry.

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, they will learn how to make sketches of solid objects on a plane. They will learn how to see the solid from different angles and have them drawn on paper. Chapter 15 of Class 7 Maths consists of the following exercises:

- 15.1 Introduction: Plane Figures And Solid Shapes.
- 15.2 Faces, Edges, and Vertices.
- 15.3 Nets For Building 3-D Shapes.
- 15.4 Drawing Solids On A Flat Surface.
- 15.5 Viewing Different Sections Of A Solid.

Here are some advantages of NCERT Solutions for 7th Class Maths by Embibe:

**Covers All the Fundamentals:**All exercise questions have been covered. We have explained how we have substituted and arrived at the answer. These will help students have a better understanding of the related concepts.**Helps in Completing Assignments:**If students plan to complete their assignments on time then these NCERT Solutions could be of great help to -students. They can go through these NCERT Solutions and understand how our experts have come up with the answer.**Proves Helpful for Competitive Exams:**All solutions are really helpful for various competitive examinations like the Olympiads.**Follows CBSE Guidelines:**All CBSE guidelines have been followed while framing the answers. We have included every step while explaining the NCERT Solutions.**Helps in Quick Revision:**Students can use these NCERT Solutions for a quick revision of the chapters before the exam. They will be able to glance through all the topics and formulas in a quick span of time.

Given below are some of the preparation tips for Class 7 students for Maths subject:

- Students should prepare a plan/schedule for their studies. This is especially helpful before exams as they can refer to the plan and avoid wasting time thinking about what to study.
- Maths is all about practice. Therefore, they should practice problems/questions regularly.
- They should cover all the topics beforehand so that they do not feel overwhelmed right before the exams.
- Students should solve as many sample papers and take as many mock tests as possible. This will improve their speed and accuracy and give them an understanding of the variety of questions.

Question 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? |

Question 2: Reema reads 1/5th page 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? |

Question 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 |

Question 4: 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? |

Question 5: 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. |

Question 6: 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? |

Question 7: The price of a is machine ₹ 7500. Its value decreases by 5% every year. What will be its price after one year? |

Question 8: 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? |

Question 9: Construct a ΔLMN in which m∠l = 60° and m∠m = 30°, MN = 3.6 cm. |

Question 10: A park in the shape of a 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. |

Question 11: If X = -(3x + 2), Y = -3(x – 2) and Z = -3x + 7. Find the value of k if (X + Y + Z) = kx. |

Question 12: 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. |

Question 13: 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? |

Question 14: Solve the equation: 3(y – 2) = 2(y – 1) – 3 |

At Embibe, students can solve free **Class 7 Practice Questions **for Science and Maths or take free **Class 7 Mock Tests**. These tests and practice questions will help them to strengthen their concepts and problem-solving abilities. Students can follow the steps listed below to take a Class 7 foundation mock test:

**1st Step:** Visit the official page of **Embibe**. To have the best experience, students should log in to their accounts. Students who are visiting the site for the first time should register themselves.**2nd Step:** At the time of registration, students need to select their goals. They should choose their board, for example, “CBSE” then “7th CBSE”, and click on “Done”.**3rd Step:** To practice questions for Class 7 CBSE, click on “**Practice**” option at the top. If students want to take a mock test, they can click on “**Test**” option.**4th Step:** Select the subject to take the test/practice questions for.**5th Step:** Click on the chapter name for practicing questions. Then click on **‘Practice Now’** to start practising questions.**6th Step:** For taking mock tests on any subject, students have the option to take chapter-wise tests or full subject tests. Click on any test link and then click on “**Start Test**” to start the test.

**Q.1: Are the NCERT Maths books along with Embibe’s NCERT Maths solutions enough for CBSE** **Grade 7th?****Ans:** Yes, for CBSE Class 7, the NCERT Maths textbook is enough. Students should make sure that they finish the book thoroughly. They should refer to the NCERT solutions provided on this page whenever they face any difficulty.

**Q.2: Is the NCERT Class 7 Maths book enough for Olympiads?Ans:** The NCERT Maths book for Class 7 will definitely help students in their preparation for the Olympiad exams. But they must also refer to some advanced books to practice higher-level questions.

**Q.3: How to memorise the Maths formulas for Class 7?****Ans: **The best way to memorize the Maths formulas for Class 7 is by solving practice questions while referring to the formulas. The more you practice, the better you get at applying them to solve questions.

**Q.4: How can the NCERT Solutions for Grade 7th Mathematics help me?****Ans:** While solving the exercise questions from your NCERT books for Class 7 Maths, if you get stuck in the middle, you can refer to the NCERT Guide provided by Embibe. There are many more advantages of referring to the NCERT Solutions provided in this article.

**Q.5: From where can I get the Maths Class 7 NCERT Solutions PDF for free? ****Ans:** You can download the complete NCERT Answer Key PDF for Class 7 Maths free from Embibe. We have provided detailed solutions for each chapter exercise-wise.