Brief introduction to each chapter of NCERT Exemplar Class 9 Maths Solutions
Chapter 1: Number Systems
Covers real numbers, representation of terminating and non-terminating decimals on the number line, laws of exponents for real numbers, and problems involving irrational numbers.
Chapter 2: Polynomials
Introduces polynomials, identities, factorization, remainder and factor theorem, along with application-based problems.
Chapter 3: Coordinate Geometry
Explains plotting points on the Cartesian plane and solving problems based on the distance between points and geometrical representation.
Chapter 4: Linear Equations in Two Variables
Covers solutions of linear equations, graphical representation of lines, and their applications in real-life situations.
Chapter 5: Introduction to Euclid’s Geometry
Introduces Euclid’s axioms and postulates, their applications, and proofs of simple geometrical results using them.
Chapter 6: Lines and Angles
Explains properties of intersecting and parallel lines, angles formed by transversals, and related problem-solving.
Chapter 7: Triangles
Covers congruence rules, inequalities in triangles, and application-based theorems such as Pythagoras theorem.
Chapter 8: Quadrilaterals
Focuses on properties of quadrilaterals, especially parallelograms, and theorems based on their diagonals.
Chapter 9: Areas of Parallelograms and Triangles
Explains theorems and problems related to the areas of triangles and parallelograms using geometrical properties.
Chapter 10: Circles
Introduces properties of circles, tangent theorems, angle subtended by chords, and cyclic quadrilaterals.
Chapter 11: Constructions
Focuses on constructing bisectors, angles, and dividing a line segment using compass and straightedge.
Chapter 12: Heron’s Formula
Teaches the use of Heron’s formula to calculate the area of a triangle and its applications in practical problems.
Chapter 13: Surface Areas and Volumes
Explains surface area and volume of solids such as cubes, cuboids, spheres, hemispheres, cones, and cylinders with practical problems.
Chapter 14: Statistics
Covers collection, representation, and interpretation of data through tabulation, bar graphs, histograms, and measures of central tendency.
Chapter 15: Probability
Introduces the concept of probability using simple experiments like coins, dice, and cards with real-life examples.