Ncert Exemplar Class 9 Maths Solutions PDF
Ncert Exemplar Class 9 Maths: The supplementary book NCERT Exemplar for Class 9 Mathematics is published by the National Council of Educational Research and Training (NCERT) and its consequent practice questions are more advanced than what is present in the normal NCERT textbooks with an aim to promote problem solving skills together with a better understanding of the mathematical concepts.
Syllabus of Class 9 Mathematics
- Number Systems
- Polynomials
- Coordinate Geometry
- Linear Equations in Two Variables
- Introduction to Euclid’s Geometry
- Lines and Angles
- Triangles
- Quadrilaterals
- Areas of Parallelograms and Triangles
- Circles
- Constructions
- Heron’s Formula
- Surface Areas and Volumes
- Statistics
- Probability
- Detailed Explanation of Each Chapter
Class 9 Maths NCERT Exemplar Chapter 1 Number Systems
In this chapter, students are introduced to the concept of real numbers and its highly used subsets rational and irrational numbers. The chapter also covers important properties like the decimal expansion of real numbers and the sit and simplification of large numbers through the use of exponents.
Class 9 Maths Chapter 2 – Polynomials
Students study polynomials, their degrees and their classifications. The chapter discusses the zeros of a polynomial function and their representation in graphs. Also, it discusses the connections between the zeros of the quadratic polynomials and their coefficients.
Class 9 Maths Chapter 3 – Coordinate Geometry
In this chapter, students look into the Cartesian place, and how to plot points in the plane and the distance formula, section formula, area of the triangle with coordinates.
Class 9 Maths NCERT Exemplar Chapter 4 – Linear Equations in Two Variables
Students learn about linear equations in two variables, their graphs and what they mean, and look at solutions to the problems. Students also learn how to solve problems involving linear equations in two variables graphically.
Class 9 Maths NCERT Exemplar Chapter 5 – Introduction to Euclid’s Geometry
The student discovers the beginning of forms of geometry through the axioms and postulates of Euclid. It underlines the importance of reasoning and the concepts of geometry that one has to be familiar with.
Class 9 Maths Chapter 6 – Lines and Angles
This unit deals with the basic properties of lines and angles, the kinds of angles, theorems concerning parallel lines, and angle sum properties of the triangles.
Class 9 Maths NCERT Exemplar Chapter 7 focuses on the topic of Triangles
The chapter expands on the concept of triangle congruence and explains the criteria for congruence along with its important properties like the Pythagorean theorem and the triangle inequalities.
Class 9 Maths NCERT Exemplar Chapter 8 revolves around Quadrilaterals
The particular chapter discusses different specific types of the four-sided figures along with their properties and theorems related to the parallelogram such as the midpoint theorem.
Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles
The particular chapter elaborates on area measurement of triangles on the basis of their geometrical properties. In addition, it also introduced the concept of area of figures with the same base and in between the same parallels.
Chapter 10 Circles
In this chapter, the students learn different properties surrounding circles like radii, arcs, and cyclic properties. This chapter also introduces a set of important theorems about the angles subtended by chords and cyclic quadrilaterals.
Class 9 Maths Chapter 11 Constructions
In this chapter Students will learn how to do carpet floor designs with triangles in this chapter of Geometry.
Class 9 Maths 12 Area: Heron’s Formula
In this chapter, the properties of a triangle are discussed alongside Heron’s formula, which is used to calculate the area of a triangle with dimensions A, B, and C. It includes the usage of this formula in the problem section as well.
Class 9 Maths 13 Surface Area and Volumes
This chapter focuses on calculating the surface area as well as the volume of various three-dimensional objects including cubes and cuboids or spheres and hemispheres as well as cones and cylinders. The use of these formulas is also demonstrated in day-to-day activities.
Class 9 Maths Chapter 14 Statistics
Data collection, organization, and tabulation is a skill that students start acquiring in this new chapter. This chapter teaches how to compute measures of central location such as the average, the middle number, and the most often used number, and data interpretation with bar graphs and histograms.
Class 9 Maths Chapter 15 Probability
The concept of probability is introduced in this final chapter of this text as a measurement of uncertainty. The students are taught the primary concepts of probability, its principles, and even the probability experiments that demonstrate some basics of outcome consideration in probability.
Conclusion
The NCERT Exemplar more than a mere practice book. It is more like a complete guide that helps students in achieving success both in academics as well as real life problem solving. Working through the book adequately will hone the mathematical minds of the students, enhance their analytical skills, and do well in examinations.
