Table of Contents

**NCERT Solutions Class 9 Maths: **With the 9th class being a major milestone in your career down the road, the NCERT has taken special care in framing the textbooks so that the concepts that form the fundamentals of higher education are laid properly without compromising the quality and involving all the necessary concepts. With an ample number of exercises with questions and other example problems, these concepts are introduced with clarity in the chapters.

The students are executed to solve these questions in order to get your basics alright and having a strong base. This can be achieved by solving all the questions that are given in the textbook of NCERT.

With a total of 15 chapters that are divided into six units, including Number System, Coordinate Geometry, Polynomials, Euclid’s Geometry, Quadrilaterals, Triangles, Circles, Constructions, Surface Areas and Volumes, Statistics, Probability, etc. , it is important that the students solve every problem in the textbook.

**NCERT Solutions For Class 9 Maths:** Get Chapter Topic Base Solutions here:

Chapter 1 Number System |
Chapter 2 Polynomials |

Chapter 3 Coordinate Geometry |
Chapter 4 Linear Equations in Two Variables |

Chapter 5 Introduction to Euclids Geometry |
Chapter 6 Lines and Angles |

Chapter 7 Triangles |
Chapter 8 Quadrilaterals |

Chapter 9 Areas of Parallelograms and Triangles |
Chapter 10 Circles |

Chapter 11 Constructions |
Chapter 12 Heron’s Formula |

Chapter 13 Surface Areas and Volumes |
Chapter 14 Statistics |

Chapter 15 Probability |

Having doubts and being stuck here and there are normal, and you need not worry about it at all. At **Adda 247** **School**, we have our dedicated panel of tutors who have solved each and every question of the NCERT textbooks, both inside questions and the exercise questions with full steps so that even the slightest of your doubts are sorted out for you.

**Features of ****NCERT Solutions For Class 9th Mathematics**

- The solutions we provide for the class 9 maths solutions are freely accessible to anyone who wants to learn.
- These solutions are available easily on our website.
- We have solutions to all the problems, which are given in the textbook, both inside the textbook and the exercises at the end of each chapter.
- In addition to this, we also have many additional exercises, similar problems for practice, along with their solutions made available for you by our subject experts.
- We have a step by step explanation of each question, which helps students understand how to present their solutions, as each step carries marks.
- The answers are made available to the students in an easy to view and download format, and this prevents any delay associated with finding the answers.
- The answers are presented using diagrams, graphs and tables for a better understanding of the concepts.
- We have a dedicated panel of experts with deep subject knowledge who prepare answers in a way that the students are benefitted and can score well. These also improve your problem-solving skills and higher-order thinking skills.

Here are the topics and their corresponding weightage of marks.

UNIT NAME |
WEIGHTAGE OF MARKS |

Unit 1: Number System | 08 |

Unit 2: Algebra | 17 |

Unit 3: Coordinate Geometry | 04 |

Unit 4: Geometry | 28 |

Unit 5: Mensuration | 13 |

Unit 6: Statistics and Probability | 10 |

Total Marks: |
80 |

**Class 9th Maths Lessons In a Nutshell**

**Chapter 1 Number System**The chapter introduces students on the number system, number line, and how to represent the numbers. The chapter further introduces the students to the representation of terminating and non- terminating recurring decimals, rational and irrational numbers, presentation of square roots of numbers on a number line and laws of integral powers, and rational exponents with positive real bases in Number Systems.

**Chapter 2 Polynomials**The chapter introduces a special algebraic expression called polynomial as their associated terms and operations, including addition, subtraction, multiplication, and non-negative exponents. It also teaches the students the Remainder Theorem and the Factor Theorem and how they are used in the factorization of polynomials.

**Chapter 3 Coordinate Geometry**Comprising of concepts like Cartesian plane and coordinates of a point in XY – plane, the terms and notations associated with the coordinate plane like concepts of origin, quadrants, etc. The chapter further teaches the students to plot points in the XY plane and the concepts of Abscissa and ordinates of a point.

**Chapter 4 Linear Equations in Two Variables
**By starting the chapter with a recall of Linear Equations in One Variable, the textbook subtly gets into the Linear Equations in Two Variables, of the form, ax + by + c = 0 and teaches the students to plot the graph in XY coordinates.

**Chapter 5 Introduction to Euclid’s Geometry**Euclid’s geometry is linked to the present-day geometry and the students are urged to correlate the present-day objects to geometrical shapes. Many associated terms are introduced along with deeper concepts like axioms, postulates, and theorems.

**Chapter 6 Lines and Angles**With four axioms and eight theorems on the topic of lines and angles, the chapter expects the students to be capable of proving statements as asked in the exams.

**Chapter 7 Triangles**The chapter enriches the students with ideas of congruence of triangles, the rules associated with congruence, properties associated with triangles, and the inequalities in triangles. With about eight theorems covered, the students can expect questions that demand the knowledge of these rules to prove statements.

**Chapter 8 Quadrilaterals**The chapter is an in-depth discussion of Quadrilaterals, which is a four-sided figure which can be obtained by joining 4 points. Inculcating a vast knowledge about quadrilaterals in students, the students are expected to solve problems in this chapter, using some properties of quadrilaterals like angle sum property, midpoint theorem, the geometry of parallelogram and types of quadrilaterals.

**Chapter 9 Areas of Parallelograms and Triangles**

After having thoroughly understood quadrilaterals, chapter 9 is a trial to crack problems related to the area of figures by knowing a list of formulae. The relation between the area of different figures which lie in the same base and between the same parallels is also discussed in this chapter. Here we will go through different results on the similarity of triangles.

**Chapter 10 Circles**A circle can be stated as a set of all points in a plane that are at a given fixed distance from a fixed point in the plane. This chapter deals with topics associated with circles like the angle subtended by a chord at a point, equal chord and their respective distances from the center, angle subtended by the arc of a Circle, and cyclic quadrilaterals among other topics covered in this chapter. There are also a total of twelve theorems that help students to get clear knowledge regarding concepts covered in this unit.

**Chapter 11 Constructions**The chapter deals with some basic constructions and the method we use to construct certain types of triangles, angle or the bisector of a given angle, and advances to the construction of triangles when different parameters are given.

**Chapter 12 Heron’s Formula**By the introduction of Heron’s formula, the students no longer need to calculate angles and other distances for the calculation of the area of a triangle. This helps the students to arrive at the area of triangles when the length of the three sides is given. The chapter also helps in finding areas of other quadrilaterals by dividing them into triangles.

**Chapter 13 Surface Areas and Volumes**As the name suggests, the chapter deals with the calculation of surface areas and volumes of common shapes like cubes, cuboids, cylinders, cones, spheres, and hemispheres in depth.

**Chapter 14 Statistics**Statistics deals with the collection of raw data, it’s different representations and how can we interpret from the collected data. The presentations of data like frequency distribution and other graphical representations of data by means of graphs like Bar graphs, Histograms, Frequency polygons, etc. are also dealt with. The measure of central tendency means, median and mode of the collected raw data are also taught.

**Chapter 15 Probability**Probability concepts deal with the chances of occurrence of events and the possible outcomes. Since this is closely related to real-life examples, the students are taught these concepts using real-life examples to improve their applicability.

Mathematics is a subject that can be faced only with practice. The students are expected to practice each question and also do similar questions together with your basics right. Even if you are stuck, don’t give up trying. After having cleared your doubts, make sure that your recollect the method for solving the problem and do that by yourself.