| Additional Questions for each Class with Solution | ||||||
|---|---|---|---|---|---|---|
| 6th | 7th | 8th | 9th | 10th | 11th | 12th |
Class 9th Mathematics Additional Questions
Chapter 1 Number Systems
This chapter covers the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. Students explore their properties and operations.
Chapter 2 Polynomials
Students learn about polynomials, their degrees, and types. The chapter includes topics like zeroes of a polynomial, factorization, and algebraic identities.
Chapter 3 Coordinate Geometry
This chapter focuses on the Cartesian coordinate system, plotting points on the plane, and understanding the concept of distance and midpoint formulas.
Chapter 4 Linear Equations in Two Variables
Students solve linear equations involving two variables, learn to represent them graphically, and find solutions by various methods such as substitution and elimination.
Chapter 5 Introduction to Euclid’s Geometry
This chapter introduces the axiomatic system of Euclid and explains fundamental concepts such as points, lines, and planes. It covers Euclid's five postulates and basic geometric properties.
Chapter 6 Lines and Angles
The chapter deals with the relationships between different types of angles (complementary, supplementary, adjacent, etc.) and the properties of parallel lines and transversal.
Chapter 7 Triangles
Topics include types of triangles, their properties, congruence, and similarity. Students also learn the Pythagorean theorem and its applications.
Chapter 8 Quadrilaterals
This chapter focuses on the properties of different quadrilaterals, including squares, rectangles, rhombuses, parallelograms, and trapeziums.
Chapter 9 Areas of Parallelograms and Triangles
Students learn how to calculate the area of parallelograms and triangles using different formulas, and the relationship between base, height, and area.
Chapter 10 Circles
The chapter covers the properties of circles, including the circumference, radius, diameter, chords, arcs, and sectors, along with theorems related to the angles in a circle.
Chapter 11 Constructions
Students practice geometrical constructions like bisecting angles, constructing triangles, and drawing tangents to circles.
Chapter 12 Heron’s Formula
This chapter introduces Heron’s formula for finding the area of a triangle when the lengths of all three sides are known.
Chapter 13 Surface Areas and Volumes
Topics include the surface areas and volumes of different 3D shapes such as cubes, cuboids, spheres, cylinders, and cones. Students learn how to apply formulas to real-world problems.
Chapter 14 Statistics
This chapter focuses on organizing and interpreting data using measures of central tendency such as mean, median, and mode. Students also learn how to represent data through bar graphs and histograms.
Chapter 15 Probability
Students are introduced to the concept of probability, understanding the likelihood of events, and calculating simple probabilities using the classical approach.