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Mathematics State Board, Class 9

  1. Set Language

    1. Set and its Representation

    2. Types of Sets

    3. Set Operations

    4. Cardinality and Practical Problems on Set Operations-I

    5. Properties of Set Operations

    6. De Morgan's Law

    7. Cardinality and Practical Problems on Set Operations-II

  2. Real Numbers

    1. Rational and Irrational numbers

    2. Decimal Expansion of Rational and Irrational numbers

    3. Real numbers and its Visual Representation

    4. Surds and its Basic Operations and Scientific Notation

  3. Algebra

    1. Introduction to Arithmetic of polynomials

    2. Value and zeroes of a Polynomial

    3. Remainder theorem and factor theorem

    4. Algebraic identities

    5. Division of polynomials and GCD

    6. Synthetic Division

    7. Linear Equation in One and Two Variables

    8. Slope and Intercept of a Line

    9. Simultaneous Linear Equations

    10. Consistency and Inconsistency of linear equations in two variables

  4. Geometry

    1. Basics of geometry

    2. Quadrilateral and Construction of Circumcentre and Orthocentre

    3. Geometry of Circles and Construction of Incircle and Centroid

  5. Coordinate Geometry

    1. Co-ordinate system and Properties of distance

    2. Midpoint and Points of Trisection

    3. Section Formula and Centroid

  6. Statistics

    1. Measures of Central Tendency and Arithmetic Mean

    2. Median and Mode

  7. Trigonometry

  8. Mensuration

    1. Heron's formula

    2. Surface area of a Cuboid and Cube

    3. Volume of Cube and Cuboid

  9. Probability

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