Topics
Number Systems
Real Numbers
Algebra
Polynomials
Pair of Linear Equations in Two Variables
 Linear Equation in Two Variables
 Graphical Method of Solution of a Pair of Linear Equations
 Substitution Method
 Elimination Method
 Cross  Multiplication Method
 Equations Reducible to a Pair of Linear Equations in Two Variables
 Consistency of Pair of Linear Equations
 Inconsistency of Pair of Linear Equations
 Algebraic Conditions for Number of Solutions
 Simple Situational Problems
 Pair of Linear Equations in Two Variables
 Relation Between Coefficient
Quadratic Equations
 Quadratic Equations
 Solutions of Quadratic Equations by Factorization
 Solutions of Quadratic Equations by Completing the Square
 Nature of Roots of a Quadratic Equation
 Relationship Between Discriminant and Nature of Roots
 Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated
 Application of Quadratic Equation
Arithmetic Progressions
Coordinate Geometry
Lines (In Twodimensions)
Constructions
 Division of a Line Segment
 Construction of Tangents to a Circle
 Constructions Examples and Solutions
Geometry
Triangles
 Similar Figures
 Similarity of Triangles
 Basic Proportionality Theorem (Thales Theorem)
 Criteria for Similarity of Triangles
 Areas of Similar Triangles
 Rightangled Triangles and Pythagoras Property
 Similarity of Triangles
 Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
 Triangles Examples and Solutions
 Angle Bisector
 Similarity of Triangles
 Ratio of Sides of Triangle
Circles
 Concept of Circle  Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
 Tangent to a Circle
 Number of Tangents from a Point on a Circle
 Concept of Circle  Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
Trigonometry
Introduction to Trigonometry
 Trigonometry
 Trigonometry
 Trigonometric Ratios
 Trigonometric Ratios and Its Reciprocal
 Trigonometric Ratios of Some Special Angles
 Trigonometric Ratios of Complementary Angles
 Trigonometric Identities
 Proof of Existence
 Relationships Between the Ratios
Trigonometric Identities
Some Applications of Trigonometry
Mensuration
Areas Related to Circles
 Perimeter and Area of a Circle  A Review
 Areas of Sector and Segment of a Circle
 Areas of Combinations of Plane Figures
 Circumference of a Circle
 Area of Circle
Surface Areas and Volumes
 Surface Area of a Combination of Solids
 Volume of a Combination of Solids
 Conversion of Solid from One Shape to Another
 Frustum of a Cone
 Concept of Surface Area, Volume, and Capacity
 Surface Area and Volume of Different Combination of Solid Figures
 Surface Area and Volume of Three Dimensional Figures
Statistics and Probability
Statistics
Probability
Internal Assessment
Definition
 Volume: Amount of space occupied by a threedimensional object is called its volume.
 Capacity: Capacity means the ability of the hollow object to hold substance, i.e., solid, liquid, or gas. It is a measure, that ascertains the amount of space available in a container, that can be filled with matter.
Notes
Volume:

The measure of this occupied space is called the Volume of the object.

The volume of an object is the measure of the space it occupies, and the capacity of an object is the volume of substance its interior can accommodate.

It is nothing but space, taken up by the substance which can be solid, liquid, or gas.

Hence, the unit of measurement of either of the two is a cubic unit.

Both solid and hollow objects have volume.
Capacity:

Capacity means the ability of the hollow object to hold substance, i.e., solid, liquid, or gas. It is a measure, that ascertains the amount of space available in a container, that can be filled with matter.

Measured in metric units such as liters, gallons, etc.

Only hollow objects have the capacity.

1 mL = 1 cm^{3},
1 L = 1000 cm^{3},
1 m^{3} = 1000000 cm^{3} = 1000 L.