NCERT Solutions for Class 9 Maths

The 2024-25 class 9 Maths syllabus has been designed around 6 broad themes viz:

NCERT Solutions for Class 9 Maths covers the following chapters:

Unit I: Number Systems
This chapter covers the concepts of irrational numbers, real numbers, and their representation on a number line.

It consists of real, natural, integers, and rational numbers on the number line.

Proper understanding and a good grasp of these chapters will make it easier to score higher in class 9 annual exam in 2025.

NCERT Solution of class 9 Maths chapter 1 has been created keeping in mind the primary goal of helping with the academic requirements.

Some key topics from the unit: Non-recurring/non-terminating decimals, the existence of non-rational numbers (irrational numbers), rationalization, and recall of laws of exponents with integral powers.

UNIT II: ALGEBRA: Polynomials & Linear equations in two variables
This chapter covers the concepts of polynomials and their algebraic properties.

The topics in unit 2 related to all the foundational concepts in detail for students to understand better. Maths may be a challenging subject so make sure to clear your foundations properly.

The topics in chapter 1 related to matter explain all the foundational concepts in detail for students to understand better. The chapter also covers topics like the zeros of a polynomial, the relationship between the zeroes and the coefficients of a polynomial, and the division algorithm for polynomials.

Some key topics from the unit: Definition of a polynomial in one variable, with examples and counter-examples, coefficients of a polynomial, terms of a polynomial, and zero polynomial. Degree, constant, linear, quadratic, and cubic polynomials, monomials, binomials, trinomials, factors and multiples, and theorems.

In linear equations in two variables: Recall linear equations in one variable, focus on linear equations, explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY
This chapter covers the concepts of coordinate geometry and the properties of lines and angles.

The NCERT Solutions for Class 9 Maths unit 3 Coordinate Geometry are useful for students as they help them to score well in the board exams. The reason why strengthening the foundation of this chapter is important is that coordinate geometry is an interesting topic where students learn about the position of an object in a plane and learn about the coordinates or concepts of the cartesian plane.

Some key topics from this unit of NCERT Solutions Class 9 Maths: The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, and notations.

UNIT IV: GEOMETRY: INTRODUCTION TO EUCLID'S GEOMETRY, LINES AND ANGLES, TRIANGLES, QUADRILATERALS & CIRCLES
Mathematics can sometimes be a challenging subject for students, but it's important to remember that with the right approach and resources, anyone can master it. When it comes to NCERT Solutions of Class 9 Maths’ unit 4 chapters, the difficulty level can vary from topic to topic. Some concepts may come naturally to some students while others may require a bit more effort to understand.

However, it's worth noting that the NCERT Solutions of Class 9 Maths chapter is designed to be accessible and understandable for students of all levels. This unit is divided into 4 chapters:

Some key topics from the unit: The introduction to Euclid's Geometry chapter covers the basic concepts of Euclid's geometry, such as axioms, postulates, and theorems.

The lines and angles chapter covers the concepts of lines and angles, including parallel lines and transversals.

Triangles’ chapter covers the properties of triangles, including congruence and similarity.

The Quadrilaterals’ chapter covers the properties of quadrilaterals, including parallelograms, rectangles, and squares.

The Areas of Parallelograms and Triangles chapter covers the concepts of the area and perimeter of parallelograms and triangles.

Circles’ chapter covers the properties of circles, including tangents, chords, and arcs.

UNIT V: MENSURATION: AREAS & VOLUMES
NCERT Solutions of Class 9 Maths Chapters are designed to be accessible and understandable for students of all levels. The solutions provided are easy to follow, allowing students to build their understanding and confidence as they revise through each topic.

Some key topics from the unit: Area of a triangle using Heron's formula (without proof), applications of heron's formula, and approximate value of irrational numbers.

The Surface Areas and Volumes chapter covers topics like the surface area and volume of a cube, cuboid, cylinder, cone, and sphere.

UNIT VI: STATISTICS & PROBABILITY
Some key topics from the unit: Statistics chapter covers topics like introduction to the topic, data collection, and measures of central tendency.

Probability’s chapter covers topics like introduction to probability, theoretical probability, experimental probability, and probability distribution.