#### Topics

##### Rational and Irrational Numbers

##### Compound Interest [Without Using Formula]

##### Compound Interest [Using Formula]

##### Expansions

##### Factorisation

- Factorisation by Taking Out Common Factors
- Factorisation by Taking Out Common Factors
- Factorisation by Taking Out Common Factors
- Factorisation by Grouping
- Factorisation of a Quadratic Trinomial by Splitting the Middle Term
- Method of Factorisation : Difference of Two Squares
- Method of Factorisation : the Sum Or Difference of Two Cubes

##### Simultaneous (Linear) Equations [Including Problems]

- Methods of Solving Simultaneous Linear Equations by Elimination Method
- Methods of Solving Simultaneous Linear Equations by Elimination Method
- Method of Elimination by Equating Coefficients
- Equations Reducible to Linear Equations
- Simultaneous Linear Equations
- Methods of Solving Simultaneous Linear Equations by Cross Multiplication Method
- Simple Linear Equations in One Variable
- Linear Equations in Two Variables

##### Indices [Exponents]

##### Logarithms

##### Triangles [Congruency in Triangles]

##### Isosceles Triangles

##### Inequalities

- Inequalities in a Triangle
- If two sides of a triangle are unequal, the greater side has the greater angle opposite to it.
- If Two Angles of a Triangle Are Unequal, the Greater Angle Has the Greater Side Opposite to It.
- Of All the Lines, that Can Be Drawn to a Given Straight Line from a Given Point Outside It, the Perpendicular is the Shortest.

##### Mid-point and Its Converse [ Including Intercept Theorem]

##### Pythagoras Theorem [Proof and Simple Applications with Converse]

##### Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]

- Introduction of Rectilinear Figures
- Names of Polygons
- Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
- Types of Quadrilaterals
- Diagonal Properties of Different Kinds of Parallelograms
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.
- Property: The Opposite Angles of a Parallelogram Are of Equal Measure.
- Property: The diagonals of a rhombus are perpendicular bisectors of one another.
- Property: The Diagonals of a Rectangle Are of Equal Length.
- Property: The diagonals of a square are perpendicular bisectors of each other.

##### Construction of Polygons (Using Ruler and Compass Only)

##### Area Theorems [Proof and Use]

##### Circle

- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Arc, Segment, Sector
- Chord Properties - a Straight Line Drawn from the Center of a Circle to Bisect a Chord Which is Not a Diameter is at Right Angles to the Chord
- Chord Properties - the Perpendicular to a Chord from the Center Bisects the Chord (Without Proof)
- Theorem: Equal chords of a circle are equidistant from the centre.
- Converse: The chords of a circle which are equidistant from the centre are equal.
- Chord Properties - There is One and Only One Circle that Passes Through Three Given Points Not in a Straight Line
- Arc and Chord Properties - If Two Arcs Subtend Equal Angles at the Center, They Are Equal, and Its Converse

##### Statistics

##### Mean and Median (For Ungrouped Data Only)

##### Area and Perimeter of Plane Figures

##### Solids [Surface Area and Volume of 3-d Solids]

##### Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and Their Reciprocals]

##### Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]

##### Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]

##### Complementary Angles

##### Co-ordinate Geometry

##### Graphical Solution (Solution of Simultaneous Linear Equations, Graphically)

##### Distance Formula

##### Profit , Loss and Discount

##### Construction of Triangles

##### Changing the Subject of a Formula

##### Similarity

#### description

**Median :**The median of a triangle, corresponding to any side, is the line joining the mid-point of that side with the opposite vertex.**Centroid :**The point of intersection of the medians is called the centroid of the triangle.**Altitude :**An altitude of a triangle, corresponding to any side, is the length of the perpendicular drawn from the opposite vertex to that side.**Orthocentre :**The point of intersection of the altitudes of a triangle is called the orthocentre.**Corollary 1 :**If one side of a triangle is produced, the exterior angle so formed is greater than each of the interior opposite angles.**Corollary 2 :**A triangle cannot have more than one right angle.**Corollary 3 :**A triangle cannot have more than one obtuse angle.**Corollary 4 :**In a right angled triangle, the sum of the other two angles ( acute angles ) is 90°.**Corollary 5 :**In every triangle, at least two angles are acute.**Corollary 6 :**If two angles of a traingle are equal to two angles of any other triangle, each to each, then the third angles of both the triangles are also equal.

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